TSTP Solution File: COM134+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : COM134+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 0.72s 69.91s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 21 unt; 0 def)
% Number of atoms : 197 ( 100 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 209 ( 64 ~; 99 |; 36 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 7 con; 0-3 aty)
% Number of variables : 171 ( 18 sgn 90 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-subst-app',conjecture,
! [X15,X20,X9,X11,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vapp(ve1,ve2),X34) )
=> vtcheck(X20,vsubst(X9,X11,vapp(ve1,ve2)),X34) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','T-subst-app') ).
fof('T-inv',axiom,
! [X11,X15,X20] :
( vtcheck(X20,X11,X15)
=> ( ? [X9] :
( X11 = vvar(X9)
& vlookup(X9,X20) = vsomeType(X15) )
| ? [X9,X13,X33,X34] :
( X11 = vabs(X9,X33,X13)
& X15 = varrow(X33,X34)
& vtcheck(vbind(X9,X33,X20),X13,X34) )
| ? [X12,X13,X10] :
( X11 = vapp(X12,X13)
& vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) ) ) ),
file('/export/starexec/sandbox/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-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/COM001+0.ax','EQ-app') ).
fof('T-subst-IH-app2',axiom,
! [X15,X20,X9,X11,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),ve2,X34) )
=> vtcheck(X20,vsubst(X9,X11,ve2),X34) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','T-subst-IH-app2') ).
fof('T-subst-IH-app1',axiom,
! [X15,X20,X9,X11,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),ve1,X34) )
=> vtcheck(X20,vsubst(X9,X11,ve1),X34) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','T-subst-IH-app1') ).
fof(subst2,axiom,
! [X1,X4,X6,X19,X12,X9,X11,X13] :
( ( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst2) ).
fof('T-app',axiom,
! [X10,X20,X12,X13,X15] :
( ( vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) )
=> vtcheck(X20,vapp(X12,X13),X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-app') ).
fof(c_0_9,negated_conjecture,
~ ! [X15,X20,X9,X11,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vapp(ve1,ve2),X34) )
=> vtcheck(X20,vsubst(X9,X11,vapp(ve1,ve2)),X34) ),
inference(assume_negation,[status(cth)],['T-subst-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,
( vtcheck(esk33_0,esk35_0,esk32_0)
& vtcheck(vbind(esk34_0,esk32_0,esk33_0),vapp(ve1,ve2),esk36_0)
& ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vapp(ve1,ve2)),esk36_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[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(esk34_0,esk32_0,esk33_0),vapp(ve1,ve2),esk36_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(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))) = vapp(ve1,ve2),
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(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))
| vapp(X2,X1) != vapp(ve1,ve2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = ve2,
inference(er,[status(thm)],[c_0_21]) ).
fof(c_0_23,plain,
! [X35,X36,X37,X38,X39] :
( ~ vtcheck(X36,X38,X35)
| ~ vtcheck(vbind(X37,X35,X36),ve2,X39)
| vtcheck(X36,vsubst(X37,X38,ve2),X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-subst-IH-app2'])]) ).
cnf(c_0_24,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_25,plain,
( X1 = X3
| vapp(X1,X2) != vapp(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26,negated_conjecture,
vapp(esk29_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),ve2) = vapp(ve1,ve2),
inference(rw,[status(thm)],[c_0_20,c_0_22]) ).
cnf(c_0_27,plain,
( vtcheck(X1,vsubst(X2,X3,ve2),X4)
| ~ vtcheck(vbind(X2,X5,X1),ve2,X4)
| ~ vtcheck(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,negated_conjecture,
vtcheck(esk33_0,esk35_0,esk32_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_16]),c_0_17]),c_0_18]) ).
fof(c_0_30,plain,
! [X35,X36,X37,X38,X39] :
( ~ vtcheck(X36,X38,X35)
| ~ vtcheck(vbind(X37,X35,X36),ve1,X39)
| vtcheck(X36,vsubst(X37,X38,ve1),X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-subst-IH-app1'])]) ).
cnf(c_0_31,negated_conjecture,
( esk29_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = X1
| vapp(ve1,ve2) != vapp(X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_32,plain,
! [X20,X21,X22,X23,X24,X25,X26,X27] :
( X20 != X25
| X21 != X26
| X22 != vapp(X24,X27)
| X23 != vsubst(X20,X21,X22)
| X23 = vapp(vsubst(X25,X26,X24),vsubst(X25,X26,X27)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst2])]) ).
fof(c_0_33,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_34,negated_conjecture,
( vtcheck(esk33_0,vsubst(X1,esk35_0,ve2),X2)
| ~ vtcheck(vbind(X1,esk32_0,esk33_0),ve2,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),ve2,esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))),
inference(rw,[status(thm)],[c_0_29,c_0_22]) ).
cnf(c_0_36,plain,
( vtcheck(X1,vsubst(X2,X3,ve1),X4)
| ~ vtcheck(vbind(X2,X5,X1),ve1,X4)
| ~ vtcheck(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,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_38,negated_conjecture,
esk29_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = ve1,
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
( X1 = vapp(vsubst(X2,X3,X4),vsubst(X2,X3,X5))
| X1 != vsubst(X6,X7,X8)
| X8 != vapp(X4,X5)
| X7 != X3
| X6 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X3,X5)
| ~ vtcheck(X1,X2,varrow(X5,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,negated_conjecture,
vtcheck(esk33_0,vsubst(esk34_0,esk35_0,ve2),esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( vtcheck(esk33_0,vsubst(X1,esk35_0,ve1),X2)
| ~ vtcheck(vbind(X1,esk32_0,esk33_0),ve1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_28]) ).
cnf(c_0_43,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),ve1,varrow(esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),esk36_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_16]),c_0_17]),c_0_18]),c_0_38]) ).
cnf(c_0_44,plain,
( X1 = vapp(vsubst(X2,X3,X4),vsubst(X2,X3,X5))
| X1 != vsubst(X2,X3,X6)
| X6 != vapp(X4,X5) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_39])]) ).
cnf(c_0_45,negated_conjecture,
( vtcheck(esk33_0,vapp(X1,vsubst(esk34_0,esk35_0,ve2)),X2)
| ~ vtcheck(esk33_0,X1,varrow(esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),X2)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
vtcheck(esk33_0,vsubst(esk34_0,esk35_0,ve1),varrow(esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),esk36_0)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,plain,
( X1 = vapp(vsubst(X2,X3,X4),vsubst(X2,X3,X5))
| X1 != vsubst(X2,X3,vapp(X4,X5)) ),
inference(er,[status(thm)],[c_0_44]) ).
cnf(c_0_48,negated_conjecture,
vtcheck(esk33_0,vapp(vsubst(esk34_0,esk35_0,ve1),vsubst(esk34_0,esk35_0,ve2)),esk36_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,plain,
vapp(vsubst(X1,X2,X3),vsubst(X1,X2,X4)) = vsubst(X1,X2,vapp(X3,X4)),
inference(er,[status(thm)],[c_0_47]) ).
cnf(c_0_50,negated_conjecture,
~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vapp(ve1,ve2)),esk36_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COM134+1 : TPTP v8.1.0. Released v6.4.0.
% 0.13/0.13 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 17:23:32 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.40/23.43 eprover: CPU time limit exceeded, terminating
% 0.40/23.46 eprover: CPU time limit exceeded, terminating
% 0.40/23.47 eprover: CPU time limit exceeded, terminating
% 0.40/23.48 eprover: CPU time limit exceeded, terminating
% 0.53/46.50 eprover: CPU time limit exceeded, terminating
% 0.53/46.52 eprover: CPU time limit exceeded, terminating
% 0.53/46.53 eprover: CPU time limit exceeded, terminating
% 0.53/46.54 eprover: CPU time limit exceeded, terminating
% 0.72/69.51 eprover: CPU time limit exceeded, terminating
% 0.72/69.55 eprover: CPU time limit exceeded, terminating
% 0.72/69.56 eprover: CPU time limit exceeded, terminating
% 0.72/69.56 eprover: CPU time limit exceeded, terminating
% 0.72/69.91 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.72/69.91
% 0.72/69.91 # Failure: Resource limit exceeded (time)
% 0.72/69.91 # OLD status Res
% 0.72/69.91 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.72/69.91 # Preprocessing time : 0.018 s
% 0.72/69.91 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.72/69.91
% 0.72/69.91 # Failure: Resource limit exceeded (time)
% 0.72/69.91 # OLD status Res
% 0.72/69.91 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.72/69.91 # Preprocessing time : 0.016 s
% 0.72/69.91 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.72/69.91
% 0.72/69.91 # Failure: Resource limit exceeded (time)
% 0.72/69.91 # OLD status Res
% 0.72/69.91 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.72/69.91 # Preprocessing time : 0.010 s
% 0.72/69.91 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.72/69.91 # Preprocessing time : 0.017 s
% 0.72/69.91
% 0.72/69.91 # Proof found!
% 0.72/69.91 # SZS status Theorem
% 0.72/69.91 # SZS output start CNFRefutation
% See solution above
% 0.72/69.91 # Proof object total steps : 52
% 0.72/69.91 # Proof object clause steps : 33
% 0.72/69.91 # Proof object formula steps : 19
% 0.72/69.91 # Proof object conjectures : 22
% 0.72/69.91 # Proof object clause conjectures : 19
% 0.72/69.91 # Proof object formula conjectures : 3
% 0.72/69.91 # Proof object initial clauses used : 14
% 0.72/69.91 # Proof object initial formulas used : 9
% 0.72/69.91 # Proof object generating inferences : 15
% 0.72/69.91 # Proof object simplifying inferences : 13
% 0.72/69.91 # Training examples: 0 positive, 0 negative
% 0.72/69.91 # Parsed axioms : 60
% 0.72/69.91 # Removed by relevancy pruning/SinE : 0
% 0.72/69.91 # Initial clauses : 423
% 0.72/69.91 # Removed in clause preprocessing : 10
% 0.72/69.91 # Initial clauses in saturation : 413
% 0.72/69.91 # Processed clauses : 1765
% 0.72/69.91 # ...of these trivial : 9
% 0.72/69.91 # ...subsumed : 388
% 0.72/69.91 # ...remaining for further processing : 1368
% 0.72/69.91 # Other redundant clauses eliminated : 35
% 0.72/69.91 # Clauses deleted for lack of memory : 0
% 0.72/69.91 # Backward-subsumed : 0
% 0.72/69.91 # Backward-rewritten : 83
% 0.72/69.91 # Generated clauses : 6855
% 0.72/69.91 # ...of the previous two non-trivial : 6806
% 0.72/69.91 # Contextual simplify-reflections : 0
% 0.72/69.91 # Paramodulations : 6703
% 0.72/69.91 # Factorizations : 0
% 0.72/69.91 # Equation resolutions : 163
% 0.72/69.91 # Current number of processed clauses : 1267
% 0.72/69.91 # Positive orientable unit clauses : 91
% 0.72/69.91 # Positive unorientable unit clauses: 0
% 0.72/69.91 # Negative unit clauses : 54
% 0.72/69.91 # Non-unit-clauses : 1122
% 0.72/69.91 # Current number of unprocessed clauses: 5018
% 0.72/69.91 # ...number of literals in the above : 18506
% 0.72/69.91 # Current number of archived formulas : 0
% 0.72/69.91 # Current number of archived clauses : 83
% 0.72/69.91 # Clause-clause subsumption calls (NU) : 62335
% 0.72/69.91 # Rec. Clause-clause subsumption calls : 37441
% 0.72/69.91 # Non-unit clause-clause subsumptions : 338
% 0.72/69.91 # Unit Clause-clause subsumption calls : 4643
% 0.72/69.91 # Rewrite failures with RHS unbound : 0
% 0.72/69.91 # BW rewrite match attempts : 2416
% 0.72/69.91 # BW rewrite match successes : 15
% 0.72/69.91 # Condensation attempts : 0
% 0.72/69.91 # Condensation successes : 0
% 0.72/69.91 # Termbank termtop insertions : 647682
% 0.72/69.91
% 0.72/69.91 # -------------------------------------------------
% 0.72/69.91 # User time : 0.167 s
% 0.72/69.91 # System time : 0.007 s
% 0.72/69.91 # Total time : 0.174 s
% 0.72/69.91 # Maximum resident set size: 11736 pages
% 0.72/92.53 eprover: CPU time limit exceeded, terminating
% 0.72/92.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.55 eprover: No such file or directory
% 0.72/92.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.56 eprover: No such file or directory
% 0.72/92.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.56 eprover: No such file or directory
% 0.72/92.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.57 eprover: No such file or directory
% 0.72/92.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.57 eprover: No such file or directory
% 0.72/92.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.58 eprover: No such file or directory
% 0.72/92.58 eprover: CPU time limit exceeded, terminating
% 0.72/92.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.58 eprover: No such file or directory
% 0.72/92.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.59 eprover: No such file or directory
% 0.72/92.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/92.59 eprover: No such file or directory
% 0.72/92.59 eprover: CPU time limit exceeded, terminating
% 0.72/92.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/92.60 eprover: No such file or directory
% 0.72/92.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/92.60 eprover: No such file or directory
% 0.72/92.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/92.60 eprover: No such file or directory
% 0.72/92.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.61 eprover: No such file or directory
% 0.72/92.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/92.61 eprover: No such file or directory
% 0.72/92.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/92.61 eprover: No such file or directory
% 0.72/92.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.61 eprover: No such file or directory
% 0.72/92.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/92.61 eprover: No such file or directory
% 0.72/92.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.72/92.62 eprover: No such file or directory
% 0.72/92.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.62 eprover: No such file or directory
% 0.72/92.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.62 eprover: No such file or directory
% 0.72/92.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.63 eprover: No such file or directory
% 0.72/92.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.64 eprover: No such file or directory
% 0.72/92.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.64 eprover: No such file or directory
% 0.72/92.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.72/92.65 eprover: No such file or directory
%------------------------------------------------------------------------------