TSTP Solution File: COM137+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : COM137+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.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 01:14:32 EDT 2022
% Result : Theorem 0.40s 23.58s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 19 unt; 0 def)
% Number of atoms : 219 ( 93 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 238 ( 74 ~; 115 |; 38 &)
% ( 0 <=>; 11 =>; 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 : 156 ( 28 sgn 78 !; 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/sandbox2/solver/bin/../tmp/theBenchmark.p','T-Strong-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/sandbox2/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/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
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/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-app') ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p','T-Strong-app-IH2') ).
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/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).
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/sandbox2/benchmark/Axioms/COM001+0.ax','T-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/sandbox2/solver/bin/../tmp/theBenchmark.p','T-Strong-app-IH1') ).
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(assume_negation,[status(cth)],['T-Strong-app']) ).
fof(c_0_10,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_11,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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_9])])])]) ).
fof(c_0_12,plain,
! [X8,X9,X10,X11,X12] : vabs(X8,X9,X10) != vapp(X11,X12),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
fof(c_0_13,plain,
! [X7,X8,X9] : vvar(X7) != vapp(X8,X9),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(c_0_14,plain,
! [X9,X10,X11,X12,X9,X10,X11,X12] :
( ( X9 = X11
| vapp(X9,X10) != vapp(X11,X12) )
& ( X10 = X12
| vapp(X9,X10) != vapp(X11,X12) )
& ( X9 != X11
| X10 != X12
| vapp(X9,X10) = vapp(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-app'])])])])]) ).
cnf(c_0_15,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_10]) ).
cnf(c_0_16,negated_conjecture,
vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( X2 = X4
| vapp(X1,X2) != vapp(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,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_15,c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( X1 = esk30_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0))
| vapp(X2,X1) != vapp(ve1app,ve2app) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
esk30_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)) = ve2app,
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_23,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))
| vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,plain,
( X1 = X3
| vapp(X1,X2) != vapp(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,negated_conjecture,
vapp(esk29_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)),ve2app) = vapp(ve1app,ve2app),
inference(rw,[status(thm)],[c_0_20,c_0_22]) ).
fof(c_0_26,plain,
! [X21,X22,X23,X24] :
( visFreeVar(X21,ve2app)
| ~ vtcheck(vbind(X21,X22,X23),ve2app,X24)
| vtcheck(X23,ve2app,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['T-Strong-app-IH2'])])]) ).
cnf(c_0_27,negated_conjecture,
vtcheck(vbind(esk32_0,esk33_0,esk34_0),esk30_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)),esk31_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_28,negated_conjecture,
( X1 = esk29_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0))
| vapp(X1,X2) != vapp(ve1app,ve2app) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_29,plain,
! [X15,X16,X17,X18,X19] :
( ( ~ visFreeVar(X18,X17)
| visFreeVar(X15,X16)
| X15 != X18
| X16 != vapp(X17,X19) )
& ( ~ visFreeVar(X18,X19)
| visFreeVar(X15,X16)
| X15 != X18
| X16 != vapp(X17,X19) )
& ( ~ visFreeVar(X15,X16)
| visFreeVar(X18,X17)
| visFreeVar(X18,X19)
| X15 != X18
| X16 != vapp(X17,X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])]) ).
fof(c_0_30,plain,
! [X21,X22,X23,X24,X25] :
( ~ vtcheck(X22,X23,varrow(X21,X25))
| ~ vtcheck(X22,X24,X21)
| vtcheck(X22,vapp(X23,X24),X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-app'])]) ).
cnf(c_0_31,plain,
( vtcheck(X1,ve2app,X2)
| visFreeVar(X3,ve2app)
| ~ vtcheck(vbind(X3,X4,X1),ve2app,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,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)],[c_0_27,c_0_22]) ).
fof(c_0_33,plain,
! [X21,X22,X23,X24] :
( visFreeVar(X21,ve1app)
| ~ vtcheck(vbind(X21,X22,X23),ve1app,X24)
| vtcheck(X23,ve1app,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['T-Strong-app-IH1'])])]) ).
cnf(c_0_34,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))
| vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_35,negated_conjecture,
esk29_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)) = ve1app,
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
( visFreeVar(X4,X1)
| X1 != vapp(X2,X3)
| X4 != X5
| ~ visFreeVar(X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X3,X5)
| ~ vtcheck(X1,X2,varrow(X5,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,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_31,c_0_32]) ).
cnf(c_0_39,plain,
( vtcheck(X1,ve1app,X2)
| visFreeVar(X3,ve1app)
| ~ vtcheck(vbind(X3,X4,X1),ve1app,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,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_34,c_0_16]),c_0_17]),c_0_18]),c_0_35]) ).
cnf(c_0_41,plain,
( visFreeVar(X1,X2)
| X2 != vapp(X3,X4)
| ~ visFreeVar(X1,X4) ),
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( vtcheck(esk34_0,vapp(X1,ve2app),X2)
| visFreeVar(esk32_0,ve2app)
| ~ vtcheck(esk34_0,X1,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)),X2)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,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_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
~ vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_45,plain,
( visFreeVar(X4,X1)
| X1 != vapp(X2,X3)
| X4 != X5
| ~ visFreeVar(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_46,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( visFreeVar(esk32_0,ve2app)
| visFreeVar(esk32_0,ve1app) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_48,plain,
( visFreeVar(X1,X2)
| X2 != vapp(X3,X4)
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_49,negated_conjecture,
~ visFreeVar(esk32_0,vapp(ve1app,ve2app)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_50,negated_conjecture,
( visFreeVar(esk32_0,vapp(X1,ve2app))
| visFreeVar(esk32_0,ve1app) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X2) ),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_52,negated_conjecture,
visFreeVar(esk32_0,ve1app),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
visFreeVar(esk32_0,vapp(ve1app,X1)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COM137+1 : TPTP v8.1.0. Released v6.4.0.
% 0.10/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n004.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 17:51:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.40/23.41 eprover: CPU time limit exceeded, terminating
% 0.40/23.41 eprover: CPU time limit exceeded, terminating
% 0.40/23.42 eprover: CPU time limit exceeded, terminating
% 0.40/23.42 eprover: CPU time limit exceeded, terminating
% 0.40/23.58 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.40/23.58
% 0.40/23.58 # Failure: Resource limit exceeded (time)
% 0.40/23.58 # OLD status Res
% 0.40/23.58 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.40/23.58 # Preprocessing time : 0.018 s
% 0.40/23.58 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.40/23.58 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.40/23.58 # Preprocessing time : 0.017 s
% 0.40/23.58
% 0.40/23.58 # Failure: Out of unprocessed clauses!
% 0.40/23.58 # OLD status GaveUp
% 0.40/23.58 # Parsed axioms : 58
% 0.40/23.58 # Removed by relevancy pruning/SinE : 47
% 0.40/23.58 # Initial clauses : 23
% 0.40/23.58 # Removed in clause preprocessing : 2
% 0.40/23.58 # Initial clauses in saturation : 21
% 0.40/23.58 # Processed clauses : 51
% 0.40/23.58 # ...of these trivial : 0
% 0.40/23.58 # ...subsumed : 0
% 0.40/23.58 # ...remaining for further processing : 51
% 0.40/23.58 # Other redundant clauses eliminated : 11
% 0.40/23.58 # Clauses deleted for lack of memory : 0
% 0.40/23.58 # Backward-subsumed : 0
% 0.40/23.58 # Backward-rewritten : 0
% 0.40/23.58 # Generated clauses : 39
% 0.40/23.58 # ...of the previous two non-trivial : 30
% 0.40/23.58 # Contextual simplify-reflections : 0
% 0.40/23.58 # Paramodulations : 17
% 0.40/23.58 # Factorizations : 0
% 0.40/23.58 # Equation resolutions : 24
% 0.40/23.58 # Current number of processed clauses : 42
% 0.40/23.58 # Positive orientable unit clauses : 2
% 0.40/23.58 # Positive unorientable unit clauses: 0
% 0.40/23.58 # Negative unit clauses : 6
% 0.40/23.58 # Non-unit-clauses : 34
% 0.40/23.58 # Current number of unprocessed clauses: 0
% 0.40/23.58 # ...number of literals in the above : 0
% 0.40/23.58 # Current number of archived formulas : 0
% 0.40/23.58 # Current number of archived clauses : 0
% 0.40/23.58 # Clause-clause subsumption calls (NU) : 160
% 0.40/23.58 # Rec. Clause-clause subsumption calls : 152
% 0.40/23.58 # Non-unit clause-clause subsumptions : 0
% 0.40/23.58 # Unit Clause-clause subsumption calls : 8
% 0.40/23.58 # Rewrite failures with RHS unbound : 0
% 0.40/23.58 # BW rewrite match attempts : 0
% 0.40/23.58 # BW rewrite match successes : 0
% 0.40/23.58 # Condensation attempts : 0
% 0.40/23.58 # Condensation successes : 0
% 0.40/23.58 # Termbank termtop insertions : 2892
% 0.40/23.58
% 0.40/23.58 # -------------------------------------------------
% 0.40/23.58 # User time : 0.017 s
% 0.40/23.58 # System time : 0.002 s
% 0.40/23.58 # Total time : 0.019 s
% 0.40/23.58 # Maximum resident set size: 2868 pages
% 0.40/23.58 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.40/23.58 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.40/23.58 # Preprocessing time : 0.019 s
% 0.40/23.58
% 0.40/23.58 # Failure: Out of unprocessed clauses!
% 0.40/23.58 # OLD status GaveUp
% 0.40/23.58 # Parsed axioms : 58
% 0.40/23.58 # Removed by relevancy pruning/SinE : 43
% 0.40/23.58 # Initial clauses : 31
% 0.40/23.58 # Removed in clause preprocessing : 4
% 0.40/23.58 # Initial clauses in saturation : 27
% 0.40/23.58 # Processed clauses : 55
% 0.40/23.58 # ...of these trivial : 0
% 0.40/23.58 # ...subsumed : 8
% 0.40/23.58 # ...remaining for further processing : 47
% 0.40/23.58 # Other redundant clauses eliminated : 11
% 0.40/23.58 # Clauses deleted for lack of memory : 0
% 0.40/23.58 # Backward-subsumed : 0
% 0.40/23.58 # Backward-rewritten : 0
% 0.40/23.58 # Generated clauses : 40
% 0.40/23.58 # ...of the previous two non-trivial : 28
% 0.40/23.58 # Contextual simplify-reflections : 0
% 0.40/23.58 # Paramodulations : 15
% 0.40/23.58 # Factorizations : 0
% 0.40/23.58 # Equation resolutions : 27
% 0.40/23.58 # Current number of processed clauses : 38
% 0.40/23.58 # Positive orientable unit clauses : 1
% 0.40/23.58 # Positive unorientable unit clauses: 0
% 0.40/23.58 # Negative unit clauses : 10
% 0.40/23.58 # Non-unit-clauses : 27
% 0.40/23.58 # Current number of unprocessed clauses: 0
% 0.40/23.58 # ...number of literals in the above : 0
% 0.40/23.58 # Current number of archived formulas : 0
% 0.40/23.58 # Current number of archived clauses : 0
% 0.40/23.58 # Clause-clause subsumption calls (NU) : 144
% 0.40/23.58 # Rec. Clause-clause subsumption calls : 120
% 0.40/23.58 # Non-unit clause-clause subsumptions : 1
% 0.40/23.58 # Unit Clause-clause subsumption calls : 7
% 0.40/23.58 # Rewrite failures with RHS unbound : 0
% 0.40/23.58 # BW rewrite match attempts : 0
% 0.40/23.58 # BW rewrite match successes : 0
% 0.40/23.58 # Condensation attempts : 0
% 0.40/23.58 # Condensation successes : 0
% 0.40/23.58 # Termbank termtop insertions : 3061
% 0.40/23.58
% 0.40/23.58 # -------------------------------------------------
% 0.40/23.58 # User time : 0.017 s
% 0.40/23.58 # System time : 0.003 s
% 0.40/23.58 # Total time : 0.020 s
% 0.40/23.58 # Maximum resident set size: 3272 pages
% 0.40/23.58 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.40/23.58 # Preprocessing time : 0.034 s
% 0.40/23.58
% 0.40/23.58 # Proof found!
% 0.40/23.58 # SZS status Theorem
% 0.40/23.58 # SZS output start CNFRefutation
% See solution above
% 0.40/23.58 # Proof object total steps : 55
% 0.40/23.58 # Proof object clause steps : 36
% 0.40/23.58 # Proof object formula steps : 19
% 0.40/23.58 # Proof object conjectures : 23
% 0.40/23.58 # Proof object clause conjectures : 20
% 0.40/23.58 # Proof object formula conjectures : 3
% 0.40/23.58 # Proof object initial clauses used : 15
% 0.40/23.58 # Proof object initial formulas used : 9
% 0.40/23.58 # Proof object generating inferences : 16
% 0.40/23.58 # Proof object simplifying inferences : 14
% 0.40/23.58 # Training examples: 0 positive, 0 negative
% 0.40/23.58 # Parsed axioms : 58
% 0.40/23.58 # Removed by relevancy pruning/SinE : 0
% 0.40/23.58 # Initial clauses : 421
% 0.40/23.58 # Removed in clause preprocessing : 10
% 0.40/23.58 # Initial clauses in saturation : 411
% 0.40/23.58 # Processed clauses : 492
% 0.40/23.58 # ...of these trivial : 1
% 0.40/23.58 # ...subsumed : 52
% 0.40/23.58 # ...remaining for further processing : 439
% 0.40/23.58 # Other redundant clauses eliminated : 29
% 0.40/23.58 # Clauses deleted for lack of memory : 0
% 0.40/23.58 # Backward-subsumed : 0
% 0.40/23.58 # Backward-rewritten : 15
% 0.40/23.58 # Generated clauses : 434
% 0.40/23.58 # ...of the previous two non-trivial : 403
% 0.40/23.58 # Contextual simplify-reflections : 0
% 0.40/23.58 # Paramodulations : 315
% 0.40/23.58 # Factorizations : 0
% 0.40/23.58 # Equation resolutions : 130
% 0.40/23.58 # Current number of processed clauses : 406
% 0.40/23.58 # Positive orientable unit clauses : 27
% 0.40/23.58 # Positive unorientable unit clauses: 0
% 0.40/23.58 # Negative unit clauses : 21
% 0.40/23.58 # Non-unit-clauses : 358
% 0.40/23.58 # Current number of unprocessed clauses: 273
% 0.40/23.58 # ...number of literals in the above : 756
% 0.40/23.58 # Current number of archived formulas : 0
% 0.40/23.58 # Current number of archived clauses : 15
% 0.40/23.58 # Clause-clause subsumption calls (NU) : 10236
% 0.40/23.58 # Rec. Clause-clause subsumption calls : 1757
% 0.40/23.58 # Non-unit clause-clause subsumptions : 46
% 0.40/23.58 # Unit Clause-clause subsumption calls : 2923
% 0.40/23.58 # Rewrite failures with RHS unbound : 0
% 0.40/23.58 # BW rewrite match attempts : 15
% 0.40/23.58 # BW rewrite match successes : 8
% 0.40/23.58 # Condensation attempts : 0
% 0.40/23.58 # Condensation successes : 0
% 0.40/23.58 # Termbank termtop insertions : 48680
% 0.40/23.58
% 0.40/23.58 # -------------------------------------------------
% 0.40/23.58 # User time : 0.067 s
% 0.40/23.58 # System time : 0.003 s
% 0.40/23.58 # Total time : 0.070 s
% 0.40/23.58 # Maximum resident set size: 4860 pages
% 0.40/46.43 eprover: CPU time limit exceeded, terminating
% 0.40/46.43 eprover: CPU time limit exceeded, terminating
% 0.40/46.44 eprover: CPU time limit exceeded, terminating
% 0.40/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.45 eprover: No such file or directory
% 0.40/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.45 eprover: No such file or directory
% 0.40/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.45 eprover: No such file or directory
% 0.40/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.45 eprover: No such file or directory
% 0.40/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46 eprover: No such file or directory
% 0.40/46.46 eprover: eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.pCannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46
% 0.40/46.46 eprover: No such file or directory
% 0.40/46.46 eprover: No such file or directory
% 0.40/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46 eprover: No such file or directory
% 0.40/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.46 eprover: No such file or directory
% 0.40/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46 eprover: No such file or directory
% 0.40/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.47 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.48 eprover: No such file or directory
% 0.40/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.49 eprover: No such file or directory
% 0.40/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.50 eprover: No such file or directory
% 0.40/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.40/46.50 eprover: No such file or directory
%------------------------------------------------------------------------------