TSTP Solution File: COM135+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : COM135+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 01:14:31 EDT 2022
% Result : Theorem 0.66s 58.84s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 65 ( 21 unt; 0 def)
% Number of atoms : 252 ( 191 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 277 ( 90 ~; 133 |; 34 &)
% ( 0 <=>; 20 =>; 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; 6 con; 0-3 aty)
% Number of variables : 211 ( 19 sgn 106 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-subst-var',conjecture,
! [X15,X20,X9,X11,X21,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vvar(X21),X34) )
=> vtcheck(X20,vsubst(X9,X11,vvar(X21)),X34) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','T-subst-var') ).
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-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
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-var',axiom,
! [X1,X2] :
( ( vvar(X1) = vvar(X2)
=> X1 = X2 )
& ( X1 = X2
=> vvar(X1) = vvar(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-var') ).
fof(lookup2,axiom,
! [X22,X21,X1,X16,X19,X9,X20] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 != X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vlookup(X9,X20) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup2) ).
fof(subst1,axiom,
! [X11,X9,X1,X4,X6,X19,X21] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 != X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vvar(X21) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst1) ).
fof('T-var',axiom,
! [X20,X9,X15] :
( vlookup(X9,X20) = vsomeType(X15)
=> vtcheck(X20,vvar(X9),X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-var') ).
fof(lookup1,axiom,
! [X20,X9,X21,X1,X16,X19,X22] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 = X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vsomeType(X22) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup1) ).
fof(subst0,axiom,
! [X9,X21,X1,X4,X6,X19,X11] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = X11 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst0) ).
fof(getSomeType0,axiom,
! [X18,X19,X11] :
( X18 = vsomeType(X11)
=> ( X19 = vgetSomeType(X18)
=> X19 = X11 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',getSomeType0) ).
fof(c_0_11,negated_conjecture,
~ ! [X15,X20,X9,X11,X21,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vvar(X21),X34) )
=> vtcheck(X20,vsubst(X9,X11,vvar(X21)),X34) ),
inference(assume_negation,[status(cth)],['T-subst-var']) ).
fof(c_0_12,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_13,negated_conjecture,
( vtcheck(esk33_0,esk35_0,esk32_0)
& vtcheck(vbind(esk34_0,esk32_0,esk33_0),vvar(esk36_0),esk37_0)
& ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vvar(esk36_0)),esk37_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
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] : vvar(X7) != vapp(X8,X9),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(c_0_16,plain,
! [X3,X4,X3,X4] :
( ( vvar(X3) != vvar(X4)
| X3 = X4 )
& ( X3 != X4
| vvar(X3) = vvar(X4) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-var'])])])]) ).
cnf(c_0_17,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_12]) ).
cnf(c_0_18,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),vvar(esk36_0),esk37_0),
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,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X23,X24,X25,X26,X27,X28,X29] :
( X25 != X28
| X26 != vbind(X24,X23,X29)
| X28 = X24
| X27 != vlookup(X25,X26)
| X27 = vlookup(X28,X29) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).
cnf(c_0_22,plain,
( X1 = X2
| vvar(X1) != vvar(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
vvar(esk24_3(vvar(esk36_0),esk37_0,vbind(esk34_0,esk32_0,esk33_0))) = vvar(esk36_0),
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_24,plain,
( X1 = vlookup(X2,X3)
| X2 = X6
| X1 != vlookup(X4,X5)
| X5 != vbind(X6,X7,X3)
| X4 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
( vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
| 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_12]) ).
cnf(c_0_26,negated_conjecture,
( esk24_3(vvar(esk36_0),esk37_0,vbind(esk34_0,esk32_0,esk33_0)) = X1
| vvar(esk36_0) != vvar(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
( X1 = vlookup(X2,X3)
| X2 = X4
| X5 != vbind(X4,X6,X3)
| X1 != vlookup(X2,X5) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_28,negated_conjecture,
vlookup(esk24_3(vvar(esk36_0),esk37_0,vbind(esk34_0,esk32_0,esk33_0)),vbind(esk34_0,esk32_0,esk33_0)) = vsomeType(esk37_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_29,negated_conjecture,
esk24_3(vvar(esk36_0),esk37_0,vbind(esk34_0,esk32_0,esk33_0)) = esk36_0,
inference(er,[status(thm)],[c_0_26]) ).
fof(c_0_30,plain,
! [X22,X23,X24,X25,X26,X27,X28] :
( X24 != X23
| X25 != X22
| X26 != vvar(X28)
| X23 = X28
| X27 != vsubst(X24,X25,X26)
| X27 = vvar(X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst1])]) ).
cnf(c_0_31,plain,
( X1 = vlookup(X2,X3)
| X2 = X4
| X1 != vlookup(X2,vbind(X4,X5,X3)) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_32,negated_conjecture,
vlookup(esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = vsomeType(esk37_0),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
( X1 = vvar(X2)
| X6 = X2
| X1 != vsubst(X3,X4,X5)
| X5 != vvar(X2)
| X4 != X7
| X3 != X6 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_34,plain,
! [X21,X22,X23] :
( vlookup(X22,X21) != vsomeType(X23)
| vtcheck(X21,vvar(X22),X23) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-var'])]) ).
cnf(c_0_35,negated_conjecture,
( X1 = vlookup(esk36_0,esk33_0)
| esk36_0 = esk34_0
| X1 != vsomeType(esk37_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
( X1 = vvar(X2)
| X2 = X3
| X1 != vsubst(X3,X4,X5)
| X5 != vvar(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_33])]) ).
cnf(c_0_37,plain,
( vtcheck(X1,vvar(X2),X3)
| vlookup(X2,X1) != vsomeType(X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( vlookup(esk36_0,esk33_0) = vsomeType(esk37_0)
| esk36_0 = esk34_0 ),
inference(er,[status(thm)],[c_0_35]) ).
fof(c_0_39,plain,
! [X23,X24,X25,X26,X27,X28,X29] :
( X26 != X24
| X27 != vbind(X25,X29,X23)
| X24 != X25
| X28 != vlookup(X26,X27)
| X28 = vsomeType(X29) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup1])]) ).
cnf(c_0_40,plain,
( vsubst(X1,X2,X3) = vvar(X4)
| X4 = X1
| X3 != vvar(X4) ),
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( esk36_0 = esk34_0
| vtcheck(esk33_0,vvar(esk36_0),X1)
| vsomeType(esk37_0) != vsomeType(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_42,plain,
! [X22,X23,X24,X25,X26,X27,X28] :
( X24 != X22
| X25 != X28
| X26 != vvar(X23)
| X22 != X23
| X27 != vsubst(X24,X25,X26)
| X27 = X28 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst0])]) ).
cnf(c_0_43,plain,
( X1 = vsomeType(X2)
| X1 != vlookup(X3,X4)
| X5 != X6
| X4 != vbind(X6,X2,X7)
| X3 != X5 ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,negated_conjecture,
~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vvar(esk36_0)),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_45,plain,
( vsubst(X1,X2,vvar(X3)) = vvar(X3)
| X3 = X1 ),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_46,negated_conjecture,
( esk36_0 = esk34_0
| vtcheck(esk33_0,vvar(esk36_0),esk37_0) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
( X1 = X2
| X1 != vsubst(X3,X4,X5)
| X6 != X7
| X5 != vvar(X7)
| X4 != X2
| X3 != X6 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_48,plain,
! [X20,X21,X22] :
( X20 != vsomeType(X22)
| X21 != vgetSomeType(X20)
| X21 = X22 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeType0])]) ).
cnf(c_0_49,plain,
( X1 = vsomeType(X2)
| X3 != vbind(X4,X2,X5)
| X1 != vlookup(X4,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_43])]) ).
cnf(c_0_50,negated_conjecture,
esk36_0 = esk34_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_51,plain,
( X1 = X2
| X1 != vsubst(X3,X2,X4)
| X4 != vvar(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_47])])]) ).
cnf(c_0_52,plain,
( X1 = X2
| X1 != vgetSomeType(X3)
| X3 != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_53,plain,
( X1 = vsomeType(X2)
| X1 != vlookup(X3,vbind(X3,X2,X4)) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_54,negated_conjecture,
vlookup(esk34_0,vbind(esk34_0,esk32_0,esk33_0)) = vsomeType(esk37_0),
inference(rw,[status(thm)],[c_0_32,c_0_50]) ).
cnf(c_0_55,plain,
( vsubst(X1,X2,X3) = X2
| X3 != vvar(X1) ),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_56,plain,
( X1 = X2
| X1 != vgetSomeType(vsomeType(X2)) ),
inference(er,[status(thm)],[c_0_52]) ).
cnf(c_0_57,negated_conjecture,
( X1 = vsomeType(esk32_0)
| X1 != vsomeType(esk37_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,plain,
vsubst(X1,X2,vvar(X1)) = X2,
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_59,plain,
vgetSomeType(vsomeType(X1)) = X1,
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_60,negated_conjecture,
vsomeType(esk37_0) = vsomeType(esk32_0),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_61,negated_conjecture,
~ vtcheck(esk33_0,esk35_0,esk37_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_50]),c_0_58]) ).
cnf(c_0_62,negated_conjecture,
esk37_0 = esk32_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_59]) ).
cnf(c_0_63,negated_conjecture,
vtcheck(esk33_0,esk35_0,esk32_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_64,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_63])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM135+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13 % 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 18:21:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 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
% 0.40/23.43 eprover: CPU time limit exceeded, terminating
% 0.56/46.42 eprover: CPU time limit exceeded, terminating
% 0.56/46.44 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.56/46.44
% 0.56/46.48 eprover: CPU time limit exceeded, terminating
% 0.66/58.84 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.66/58.84
% 0.66/58.84 # Failure: Resource limit exceeded (time)
% 0.66/58.84 # OLD status Res
% 0.66/58.84 # Preprocessing time : 0.033 s
% 0.66/58.84 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.66/58.84
% 0.66/58.84 # Failure: Resource limit exceeded (time)
% 0.66/58.84 # OLD status Res
% 0.66/58.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.66/58.84 # Preprocessing time : 0.010 s
% 0.66/58.84 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.66/58.84 # Preprocessing time : 0.017 s
% 0.66/58.84
% 0.66/58.84 # Proof found!
% 0.66/58.84 # SZS status Theorem
% 0.66/58.84 # SZS output start CNFRefutation
% See solution above
% 0.66/58.84 # Proof object total steps : 65
% 0.66/58.84 # Proof object clause steps : 42
% 0.66/58.84 # Proof object formula steps : 23
% 0.66/58.84 # Proof object conjectures : 22
% 0.66/58.84 # Proof object clause conjectures : 19
% 0.66/58.84 # Proof object formula conjectures : 3
% 0.66/58.84 # Proof object initial clauses used : 14
% 0.66/58.84 # Proof object initial formulas used : 11
% 0.66/58.84 # Proof object generating inferences : 20
% 0.66/58.84 # Proof object simplifying inferences : 21
% 0.66/58.84 # Training examples: 0 positive, 0 negative
% 0.66/58.84 # Parsed axioms : 58
% 0.66/58.84 # Removed by relevancy pruning/SinE : 0
% 0.66/58.84 # Initial clauses : 421
% 0.66/58.84 # Removed in clause preprocessing : 10
% 0.66/58.84 # Initial clauses in saturation : 411
% 0.66/58.84 # Processed clauses : 10186
% 0.66/58.84 # ...of these trivial : 206
% 0.66/58.84 # ...subsumed : 6282
% 0.66/58.84 # ...remaining for further processing : 3698
% 0.66/58.84 # Other redundant clauses eliminated : 2328
% 0.66/58.84 # Clauses deleted for lack of memory : 291824
% 0.66/58.84 # Backward-subsumed : 196
% 0.66/58.84 # Backward-rewritten : 1451
% 0.66/58.84 # Generated clauses : 403316
% 0.66/58.84 # ...of the previous two non-trivial : 396162
% 0.66/58.84 # Contextual simplify-reflections : 6275
% 0.66/58.84 # Paramodulations : 399718
% 0.66/58.84 # Factorizations : 0
% 0.66/58.84 # Equation resolutions : 3609
% 0.66/58.84 # Current number of processed clauses : 2033
% 0.66/58.84 # Positive orientable unit clauses : 23
% 0.66/58.84 # Positive unorientable unit clauses: 0
% 0.66/58.84 # Negative unit clauses : 12
% 0.66/58.84 # Non-unit-clauses : 1998
% 0.66/58.84 # Current number of unprocessed clauses: 25821
% 0.66/58.84 # ...number of literals in the above : 173790
% 0.66/58.84 # Current number of archived formulas : 0
% 0.66/58.84 # Current number of archived clauses : 1647
% 0.66/58.84 # Clause-clause subsumption calls (NU) : 3516247
% 0.66/58.84 # Rec. Clause-clause subsumption calls : 303674
% 0.66/58.84 # Non-unit clause-clause subsumptions : 12431
% 0.66/58.84 # Unit Clause-clause subsumption calls : 12952
% 0.66/58.84 # Rewrite failures with RHS unbound : 0
% 0.66/58.84 # BW rewrite match attempts : 86
% 0.66/58.84 # BW rewrite match successes : 13
% 0.66/58.84 # Condensation attempts : 0
% 0.66/58.84 # Condensation successes : 0
% 0.66/58.84 # Termbank termtop insertions : 62872956
% 0.66/58.84
% 0.66/58.84 # -------------------------------------------------
% 0.66/58.84 # User time : 12.258 s
% 0.66/58.84 # System time : 0.102 s
% 0.66/58.84 # Total time : 12.360 s
% 0.66/58.84 # Maximum resident set size: 132444 pages
% 0.66/69.44 eprover: CPU time limit exceeded, terminating
% 0.66/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.46 eprover: No such file or directory
% 0.66/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.46 eprover: No such file or directory
% 0.66/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.46 eprover: No such file or directory
% 0.66/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.47 eprover: No such file or directory
% 0.66/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.47 eprover: No such file or directory
% 0.66/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.48 eprover: No such file or directory
% 0.66/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.48 eprover: No such file or directory
% 0.66/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.48 eprover: No such file or directory
% 0.66/69.48 eprover: CPU time limit exceeded, terminating
% 0.66/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.49 eprover: No such file or directory
% 0.66/69.49 eprover: CPU time limit exceeded, terminating
% 0.66/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.50 eprover: No such file or directory
% 0.66/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.50 eprover: No such file or directory
% 0.66/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.51 eprover: No such file or directory
% 0.66/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.51 eprover: No such file or directory
% 0.66/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.52 eprover: No such file or directory
% 0.66/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.52 eprover: No such file or directory
% 0.66/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.52 eprover: No such file or directory
% 0.66/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.52 eprover: No such file or directory
% 0.66/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.53 eprover: No such file or directory
% 0.66/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.53 eprover: No such file or directory
% 0.66/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.53 eprover: No such file or directory
% 0.66/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.53 eprover: No such file or directory
% 0.66/69.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.54 eprover: No such file or directory
% 0.66/69.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.54 eprover: No such file or directory
% 0.66/69.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.54 eprover: No such file or directory
% 0.66/69.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.55 eprover: No such file or directory
% 0.66/69.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.55 eprover: No such file or directory
% 0.66/69.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.56 eprover: No such file or directory
%------------------------------------------------------------------------------