TSTP Solution File: COM140+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : COM140+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.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 01:14:33 EDT 2022
% Result : Theorem 0.39s 24.58s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 17 unt; 0 def)
% Number of atoms : 366 ( 273 equ)
% Maximal formula atoms : 192 ( 5 avg)
% Number of connectives : 428 ( 124 ~; 218 |; 72 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 55 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 9 con; 0-3 aty)
% Number of variables : 178 ( 25 sgn 76 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-Weak-abs-2',conjecture,
! [X9,X10,X20,X21,X36,X15] :
( ( X9 = X21
& vlookup(X9,X20) = vnoType
& vtcheck(X20,vabs(X21,X36,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X36,veabs),X15) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','T-Weak-abs-2') ).
fof('alpha-equiv-typing',axiom,
! [X11,X20,X12,X15] :
( ( vtcheck(X20,X11,X15)
& valphaEquivalent(X11,X12) )
=> vtcheck(X20,X12,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+1.ax','alpha-equiv-typing') ).
fof('T-Weak-abs-1-gen',axiom,
! [X9,X10,X20,X21,X36,X12,X15] :
( ( X9 != X21
& vlookup(X9,X20) = vnoType
& vtcheck(X20,vabs(X21,X36,X12),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X36,X12),X15) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','T-Weak-abs-1-gen') ).
fof('alpha-equiv-subst-abs',axiom,
! [X10,X9,X21,X11] :
( ~ visFreeVar(X21,X11)
=> valphaEquivalent(vabs(X9,X10,X11),vabs(X21,X10,vsubst(X9,vvar(X21),X11))) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+1.ax','alpha-equiv-subst-abs') ).
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/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).
fof(isFreeVar0,axiom,
! [X1,X4,X9,X14] :
( ( X1 = X14
& X4 = vvar(X9) )
=> ( ( X9 = X14
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> X9 = X14 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).
fof('alpha-equiv-sym',axiom,
! [X13,X12] :
( valphaEquivalent(X12,X13)
=> valphaEquivalent(X13,X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+1.ax','alpha-equiv-sym') ).
fof('gensym-is-fresh',axiom,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','gensym-is-fresh') ).
fof('lookup-INV',axiom,
! [X1,X16,X19] :
( vlookup(X1,X16) = X19
=> ( ? [X9] :
( X1 = X9
& X16 = vempty
& X19 = vnoType )
| ? [X20,X9,X21,X22] :
( X1 = X9
& X16 = vbind(X21,X22,X20)
& X9 = X21
& X19 = vsomeType(X22) )
| ? [X22,X21,X9,X20] :
( X1 = X9
& X16 = vbind(X21,X22,X20)
& X9 != X21
& X19 = vlookup(X9,X20) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','lookup-INV') ).
fof('DIFF-noType-someType',axiom,
! [X3] : vnoType != vsomeType(X3),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noType-someType') ).
fof(c_0_10,negated_conjecture,
~ ! [X9,X10,X20,X21,X36,X15] :
( ( X9 = X21
& vlookup(X9,X20) = vnoType
& vtcheck(X20,vabs(X21,X36,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X36,veabs),X15) ),
inference(assume_negation,[status(cth)],['T-Weak-abs-2']) ).
fof(c_0_11,negated_conjecture,
( esk32_0 = esk35_0
& vlookup(esk32_0,esk34_0) = vnoType
& vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0)
& ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_12,plain,
! [X21,X22,X23,X24] :
( ~ vtcheck(X22,X21,X24)
| ~ valphaEquivalent(X21,X23)
| vtcheck(X22,X23,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['alpha-equiv-typing'])]) ).
cnf(c_0_13,negated_conjecture,
vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
esk32_0 = esk35_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X37,X38,X39,X40,X41,X42,X43] :
( X37 = X40
| vlookup(X37,X39) != vnoType
| ~ vtcheck(X39,vabs(X40,X41,X42),X43)
| vtcheck(vbind(X37,X38,X39),vabs(X40,X41,X42),X43) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak-abs-1-gen'])]) ).
cnf(c_0_16,plain,
( vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X4,X2)
| ~ vtcheck(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
vtcheck(esk34_0,vabs(esk32_0,esk36_0,veabs),esk37_0),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_18,plain,
! [X22,X23,X24,X25] :
( visFreeVar(X24,X25)
| valphaEquivalent(vabs(X23,X22,X25),vabs(X24,X22,vsubst(X23,vvar(X24),X25))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['alpha-equiv-subst-abs'])])]) ).
cnf(c_0_19,plain,
( vtcheck(vbind(X1,X2,X3),vabs(X4,X5,X6),X7)
| X1 = X4
| ~ vtcheck(X3,vabs(X4,X5,X6),X7)
| vlookup(X1,X3) != vnoType ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
vlookup(esk32_0,esk34_0) = vnoType,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,negated_conjecture,
( vtcheck(esk34_0,X1,esk37_0)
| ~ valphaEquivalent(vabs(esk32_0,esk36_0,veabs),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( valphaEquivalent(vabs(X1,X2,X3),vabs(X4,X2,vsubst(X1,vvar(X4),X3)))
| visFreeVar(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,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_24,plain,
! [X15,X16,X17,X18] :
( ( X17 != X18
| visFreeVar(X15,X16)
| X15 != X18
| X16 != vvar(X17) )
& ( ~ visFreeVar(X15,X16)
| X17 = X18
| X15 != X18
| X16 != vvar(X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])]) ).
cnf(c_0_25,negated_conjecture,
( esk32_0 = X1
| vtcheck(vbind(esk32_0,X2,esk34_0),vabs(X1,X3,X4),X5)
| ~ vtcheck(esk34_0,vabs(X1,X3,X4),X5) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( vtcheck(esk34_0,vabs(X1,esk36_0,vsubst(esk32_0,vvar(X1),veabs)),esk37_0)
| visFreeVar(X1,veabs) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_27,plain,
! [X14,X15] :
( ~ valphaEquivalent(X15,X14)
| valphaEquivalent(X14,X15) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['alpha-equiv-sym'])]) ).
cnf(c_0_28,plain,
( visFreeVar(X4,X1)
| X1 != vapp(X2,X3)
| X4 != X5
| ~ visFreeVar(X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
( visFreeVar(X3,X1)
| X1 != vvar(X2)
| X3 != X4
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( esk32_0 = X1
| vtcheck(vbind(esk32_0,X2,esk34_0),vabs(X1,esk36_0,vsubst(esk32_0,vvar(X1),veabs)),esk37_0)
| visFreeVar(X1,veabs) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( valphaEquivalent(X1,X2)
| ~ valphaEquivalent(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
( visFreeVar(X4,X1)
| X1 != vapp(X2,X3)
| X4 != X5
| ~ visFreeVar(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
( visFreeVar(X1,X2)
| X2 != vapp(X3,X4)
| ~ visFreeVar(X1,X4) ),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( visFreeVar(X1,X2)
| X2 != vvar(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_29])]) ).
cnf(c_0_35,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_11]) ).
cnf(c_0_36,negated_conjecture,
( esk32_0 = X1
| vtcheck(vbind(esk32_0,X2,esk34_0),X3,esk37_0)
| visFreeVar(X1,veabs)
| ~ valphaEquivalent(vabs(X1,esk36_0,vsubst(esk32_0,vvar(X1),veabs)),X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_30]) ).
cnf(c_0_37,plain,
( valphaEquivalent(vabs(X1,X2,vsubst(X3,vvar(X1),X4)),vabs(X3,X2,X4))
| visFreeVar(X1,X4) ),
inference(spm,[status(thm)],[c_0_31,c_0_22]) ).
cnf(c_0_38,plain,
( visFreeVar(X1,X2)
| X2 != vapp(X3,X4)
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
visFreeVar(X1,vvar(X1)),
inference(er,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk32_0,esk36_0,veabs),esk37_0),
inference(rw,[status(thm)],[c_0_35,c_0_14]) ).
cnf(c_0_42,negated_conjecture,
( esk32_0 = X1
| vtcheck(vbind(esk32_0,X2,esk34_0),vabs(esk32_0,esk36_0,veabs),esk37_0)
| visFreeVar(X1,veabs) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X2) ),
inference(er,[status(thm)],[c_0_38]) ).
cnf(c_0_44,plain,
visFreeVar(X1,vapp(X2,vvar(X1))),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_45,plain,
! [X15,X16] :
( vgensym(X16) != X15
| ~ visFreeVar(X15,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['gensym-is-fresh'])])]) ).
cnf(c_0_46,negated_conjecture,
( esk32_0 = X1
| visFreeVar(X1,veabs) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_47,plain,
! [X23,X24,X25] :
( ( X23 = esk8_3(X23,X24,X25)
| X23 = esk3_3(X23,X24,X25)
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( X24 = vbind(esk7_3(X23,X24,X25),esk6_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X23 = esk3_3(X23,X24,X25)
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( esk8_3(X23,X24,X25) != esk7_3(X23,X24,X25)
| X23 = esk3_3(X23,X24,X25)
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( X25 = vlookup(esk8_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X23 = esk3_3(X23,X24,X25)
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( X23 = esk8_3(X23,X24,X25)
| X24 = vbind(esk4_3(X23,X24,X25),esk5_3(X23,X24,X25),esk2_3(X23,X24,X25))
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( X24 = vbind(esk7_3(X23,X24,X25),esk6_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X24 = vbind(esk4_3(X23,X24,X25),esk5_3(X23,X24,X25),esk2_3(X23,X24,X25))
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( esk8_3(X23,X24,X25) != esk7_3(X23,X24,X25)
| X24 = vbind(esk4_3(X23,X24,X25),esk5_3(X23,X24,X25),esk2_3(X23,X24,X25))
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( X25 = vlookup(esk8_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X24 = vbind(esk4_3(X23,X24,X25),esk5_3(X23,X24,X25),esk2_3(X23,X24,X25))
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( X23 = esk8_3(X23,X24,X25)
| esk3_3(X23,X24,X25) = esk4_3(X23,X24,X25)
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( X24 = vbind(esk7_3(X23,X24,X25),esk6_3(X23,X24,X25),esk9_3(X23,X24,X25))
| esk3_3(X23,X24,X25) = esk4_3(X23,X24,X25)
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( esk8_3(X23,X24,X25) != esk7_3(X23,X24,X25)
| esk3_3(X23,X24,X25) = esk4_3(X23,X24,X25)
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( X25 = vlookup(esk8_3(X23,X24,X25),esk9_3(X23,X24,X25))
| esk3_3(X23,X24,X25) = esk4_3(X23,X24,X25)
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( X23 = esk8_3(X23,X24,X25)
| X25 = vsomeType(esk5_3(X23,X24,X25))
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( X24 = vbind(esk7_3(X23,X24,X25),esk6_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X25 = vsomeType(esk5_3(X23,X24,X25))
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( esk8_3(X23,X24,X25) != esk7_3(X23,X24,X25)
| X25 = vsomeType(esk5_3(X23,X24,X25))
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( X25 = vlookup(esk8_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X25 = vsomeType(esk5_3(X23,X24,X25))
| X23 = esk1_3(X23,X24,X25)
| vlookup(X23,X24) != X25 )
& ( X23 = esk8_3(X23,X24,X25)
| X23 = esk3_3(X23,X24,X25)
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( X24 = vbind(esk7_3(X23,X24,X25),esk6_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X23 = esk3_3(X23,X24,X25)
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( esk8_3(X23,X24,X25) != esk7_3(X23,X24,X25)
| X23 = esk3_3(X23,X24,X25)
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( X25 = vlookup(esk8_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X23 = esk3_3(X23,X24,X25)
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( X23 = esk8_3(X23,X24,X25)
| X24 = vbind(esk4_3(X23,X24,X25),esk5_3(X23,X24,X25),esk2_3(X23,X24,X25))
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( X24 = vbind(esk7_3(X23,X24,X25),esk6_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X24 = vbind(esk4_3(X23,X24,X25),esk5_3(X23,X24,X25),esk2_3(X23,X24,X25))
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( esk8_3(X23,X24,X25) != esk7_3(X23,X24,X25)
| X24 = vbind(esk4_3(X23,X24,X25),esk5_3(X23,X24,X25),esk2_3(X23,X24,X25))
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( X25 = vlookup(esk8_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X24 = vbind(esk4_3(X23,X24,X25),esk5_3(X23,X24,X25),esk2_3(X23,X24,X25))
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( X23 = esk8_3(X23,X24,X25)
| esk3_3(X23,X24,X25) = esk4_3(X23,X24,X25)
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( X24 = vbind(esk7_3(X23,X24,X25),esk6_3(X23,X24,X25),esk9_3(X23,X24,X25))
| esk3_3(X23,X24,X25) = esk4_3(X23,X24,X25)
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( esk8_3(X23,X24,X25) != esk7_3(X23,X24,X25)
| esk3_3(X23,X24,X25) = esk4_3(X23,X24,X25)
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( X25 = vlookup(esk8_3(X23,X24,X25),esk9_3(X23,X24,X25))
| esk3_3(X23,X24,X25) = esk4_3(X23,X24,X25)
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( X23 = esk8_3(X23,X24,X25)
| X25 = vsomeType(esk5_3(X23,X24,X25))
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( X24 = vbind(esk7_3(X23,X24,X25),esk6_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X25 = vsomeType(esk5_3(X23,X24,X25))
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( esk8_3(X23,X24,X25) != esk7_3(X23,X24,X25)
| X25 = vsomeType(esk5_3(X23,X24,X25))
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( X25 = vlookup(esk8_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X25 = vsomeType(esk5_3(X23,X24,X25))
| X24 = vempty
| vlookup(X23,X24) != X25 )
& ( X23 = esk8_3(X23,X24,X25)
| X23 = esk3_3(X23,X24,X25)
| X25 = vnoType
| vlookup(X23,X24) != X25 )
& ( X24 = vbind(esk7_3(X23,X24,X25),esk6_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X23 = esk3_3(X23,X24,X25)
| X25 = vnoType
| vlookup(X23,X24) != X25 )
& ( esk8_3(X23,X24,X25) != esk7_3(X23,X24,X25)
| X23 = esk3_3(X23,X24,X25)
| X25 = vnoType
| vlookup(X23,X24) != X25 )
& ( X25 = vlookup(esk8_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X23 = esk3_3(X23,X24,X25)
| X25 = vnoType
| vlookup(X23,X24) != X25 )
& ( X23 = esk8_3(X23,X24,X25)
| X24 = vbind(esk4_3(X23,X24,X25),esk5_3(X23,X24,X25),esk2_3(X23,X24,X25))
| X25 = vnoType
| vlookup(X23,X24) != X25 )
& ( X24 = vbind(esk7_3(X23,X24,X25),esk6_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X24 = vbind(esk4_3(X23,X24,X25),esk5_3(X23,X24,X25),esk2_3(X23,X24,X25))
| X25 = vnoType
| vlookup(X23,X24) != X25 )
& ( esk8_3(X23,X24,X25) != esk7_3(X23,X24,X25)
| X24 = vbind(esk4_3(X23,X24,X25),esk5_3(X23,X24,X25),esk2_3(X23,X24,X25))
| X25 = vnoType
| vlookup(X23,X24) != X25 )
& ( X25 = vlookup(esk8_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X24 = vbind(esk4_3(X23,X24,X25),esk5_3(X23,X24,X25),esk2_3(X23,X24,X25))
| X25 = vnoType
| vlookup(X23,X24) != X25 )
& ( X23 = esk8_3(X23,X24,X25)
| esk3_3(X23,X24,X25) = esk4_3(X23,X24,X25)
| X25 = vnoType
| vlookup(X23,X24) != X25 )
& ( X24 = vbind(esk7_3(X23,X24,X25),esk6_3(X23,X24,X25),esk9_3(X23,X24,X25))
| esk3_3(X23,X24,X25) = esk4_3(X23,X24,X25)
| X25 = vnoType
| vlookup(X23,X24) != X25 )
& ( esk8_3(X23,X24,X25) != esk7_3(X23,X24,X25)
| esk3_3(X23,X24,X25) = esk4_3(X23,X24,X25)
| X25 = vnoType
| vlookup(X23,X24) != X25 )
& ( X25 = vlookup(esk8_3(X23,X24,X25),esk9_3(X23,X24,X25))
| esk3_3(X23,X24,X25) = esk4_3(X23,X24,X25)
| X25 = vnoType
| vlookup(X23,X24) != X25 )
& ( X23 = esk8_3(X23,X24,X25)
| X25 = vsomeType(esk5_3(X23,X24,X25))
| X25 = vnoType
| vlookup(X23,X24) != X25 )
& ( X24 = vbind(esk7_3(X23,X24,X25),esk6_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X25 = vsomeType(esk5_3(X23,X24,X25))
| X25 = vnoType
| vlookup(X23,X24) != X25 )
& ( esk8_3(X23,X24,X25) != esk7_3(X23,X24,X25)
| X25 = vsomeType(esk5_3(X23,X24,X25))
| X25 = vnoType
| vlookup(X23,X24) != X25 )
& ( X25 = vlookup(esk8_3(X23,X24,X25),esk9_3(X23,X24,X25))
| X25 = vsomeType(esk5_3(X23,X24,X25))
| X25 = vnoType
| vlookup(X23,X24) != X25 ) ),
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)],['lookup-INV'])])])])])]) ).
cnf(c_0_48,plain,
visFreeVar(X1,vapp(vapp(X2,vvar(X1)),X3)),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
( ~ visFreeVar(X1,X2)
| vgensym(X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,negated_conjecture,
( esk32_0 = X1
| visFreeVar(X1,vapp(veabs,X2)) ),
inference(spm,[status(thm)],[c_0_43,c_0_46]) ).
cnf(c_0_51,plain,
( X1 = esk1_3(X1,X2,X3)
| X3 = vsomeType(esk5_3(X1,X2,X3))
| X1 = esk8_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_52,plain,
! [X4] : vnoType != vsomeType(X4),
inference(variable_rename,[status(thm)],['DIFF-noType-someType']) ).
cnf(c_0_53,plain,
visFreeVar(X1,vapp(X2,vapp(vapp(X3,vvar(X1)),X4))),
inference(spm,[status(thm)],[c_0_39,c_0_48]) ).
cnf(c_0_54,negated_conjecture,
( esk32_0 = X1
| vgensym(vapp(veabs,X2)) != X1 ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
( vsomeType(esk5_3(esk32_0,esk34_0,X1)) = X1
| esk1_3(esk32_0,esk34_0,X1) = esk32_0
| esk8_3(esk32_0,esk34_0,X1) = esk32_0
| vnoType != X1 ),
inference(spm,[status(thm)],[c_0_51,c_0_20]) ).
cnf(c_0_56,plain,
vnoType != vsomeType(X1),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_57,plain,
vgensym(vapp(X1,vapp(vapp(X2,vvar(X3)),X4))) != X3,
inference(spm,[status(thm)],[c_0_49,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
vgensym(vapp(veabs,X1)) = esk32_0,
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( esk1_3(esk32_0,esk34_0,vnoType) = esk32_0
| esk8_3(esk32_0,esk34_0,vnoType) = esk32_0 ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_55]),c_0_56]) ).
cnf(c_0_60,negated_conjecture,
esk32_0 != X1,
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_59,c_0_60]),c_0_60]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM140+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 18:46:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.38/23.42 eprover: CPU time limit exceeded, terminating
% 0.38/23.43 eprover: CPU time limit exceeded, terminating
% 0.38/23.43 eprover: CPU time limit exceeded, terminating
% 0.38/23.44 eprover: CPU time limit exceeded, terminating
% 0.39/24.58 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.39/24.58
% 0.39/24.58 # Failure: Resource limit exceeded (time)
% 0.39/24.58 # OLD status Res
% 0.39/24.58 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.39/24.58 # Preprocessing time : 0.017 s
% 0.39/24.58 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.39/24.58 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.39/24.58 # Preprocessing time : 0.011 s
% 0.39/24.58
% 0.39/24.58 # Failure: Out of unprocessed clauses!
% 0.39/24.58 # OLD status GaveUp
% 0.39/24.58 # Parsed axioms : 62
% 0.39/24.58 # Removed by relevancy pruning/SinE : 51
% 0.39/24.58 # Initial clauses : 20
% 0.39/24.58 # Removed in clause preprocessing : 3
% 0.39/24.58 # Initial clauses in saturation : 17
% 0.39/24.58 # Processed clauses : 39
% 0.39/24.58 # ...of these trivial : 0
% 0.39/24.58 # ...subsumed : 7
% 0.39/24.58 # ...remaining for further processing : 32
% 0.39/24.58 # Other redundant clauses eliminated : 4
% 0.39/24.58 # Clauses deleted for lack of memory : 0
% 0.39/24.58 # Backward-subsumed : 0
% 0.39/24.58 # Backward-rewritten : 1
% 0.39/24.58 # Generated clauses : 29
% 0.39/24.58 # ...of the previous two non-trivial : 22
% 0.39/24.58 # Contextual simplify-reflections : 4
% 0.39/24.58 # Paramodulations : 16
% 0.39/24.58 # Factorizations : 0
% 0.39/24.58 # Equation resolutions : 14
% 0.39/24.58 # Current number of processed clauses : 28
% 0.39/24.58 # Positive orientable unit clauses : 4
% 0.39/24.58 # Positive unorientable unit clauses: 0
% 0.39/24.58 # Negative unit clauses : 2
% 0.39/24.58 # Non-unit-clauses : 22
% 0.39/24.58 # Current number of unprocessed clauses: 0
% 0.39/24.58 # ...number of literals in the above : 0
% 0.39/24.58 # Current number of archived formulas : 0
% 0.39/24.58 # Current number of archived clauses : 1
% 0.39/24.58 # Clause-clause subsumption calls (NU) : 210
% 0.39/24.58 # Rec. Clause-clause subsumption calls : 131
% 0.39/24.58 # Non-unit clause-clause subsumptions : 10
% 0.39/24.58 # Unit Clause-clause subsumption calls : 1
% 0.39/24.58 # Rewrite failures with RHS unbound : 0
% 0.39/24.58 # BW rewrite match attempts : 1
% 0.39/24.58 # BW rewrite match successes : 1
% 0.39/24.58 # Condensation attempts : 0
% 0.39/24.58 # Condensation successes : 0
% 0.39/24.58 # Termbank termtop insertions : 2767
% 0.39/24.58
% 0.39/24.58 # -------------------------------------------------
% 0.39/24.58 # User time : 0.010 s
% 0.39/24.58 # System time : 0.002 s
% 0.39/24.58 # Total time : 0.012 s
% 0.39/24.58 # Maximum resident set size: 2872 pages
% 0.39/24.58 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.39/24.58 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.39/24.58 # Preprocessing time : 0.011 s
% 0.39/24.58
% 0.39/24.58 # Failure: Out of unprocessed clauses!
% 0.39/24.58 # OLD status GaveUp
% 0.39/24.58 # Parsed axioms : 62
% 0.39/24.58 # Removed by relevancy pruning/SinE : 45
% 0.39/24.58 # Initial clauses : 30
% 0.39/24.58 # Removed in clause preprocessing : 6
% 0.39/24.58 # Initial clauses in saturation : 24
% 0.39/24.58 # Processed clauses : 47
% 0.39/24.58 # ...of these trivial : 0
% 0.39/24.58 # ...subsumed : 7
% 0.39/24.58 # ...remaining for further processing : 40
% 0.39/24.58 # Other redundant clauses eliminated : 4
% 0.39/24.58 # Clauses deleted for lack of memory : 0
% 0.39/24.58 # Backward-subsumed : 0
% 0.39/24.58 # Backward-rewritten : 2
% 0.39/24.58 # Generated clauses : 33
% 0.39/24.58 # ...of the previous two non-trivial : 23
% 0.39/24.58 # Contextual simplify-reflections : 4
% 0.39/24.58 # Paramodulations : 16
% 0.39/24.58 # Factorizations : 0
% 0.39/24.58 # Equation resolutions : 18
% 0.39/24.58 # Current number of processed clauses : 35
% 0.39/24.58 # Positive orientable unit clauses : 4
% 0.39/24.58 # Positive unorientable unit clauses: 0
% 0.39/24.58 # Negative unit clauses : 5
% 0.39/24.58 # Non-unit-clauses : 26
% 0.39/24.58 # Current number of unprocessed clauses: 0
% 0.39/24.58 # ...number of literals in the above : 0
% 0.39/24.58 # Current number of archived formulas : 0
% 0.39/24.58 # Current number of archived clauses : 2
% 0.39/24.58 # Clause-clause subsumption calls (NU) : 219
% 0.39/24.58 # Rec. Clause-clause subsumption calls : 140
% 0.39/24.58 # Non-unit clause-clause subsumptions : 10
% 0.39/24.58 # Unit Clause-clause subsumption calls : 0
% 0.39/24.58 # Rewrite failures with RHS unbound : 0
% 0.39/24.58 # BW rewrite match attempts : 2
% 0.39/24.58 # BW rewrite match successes : 2
% 0.39/24.58 # Condensation attempts : 0
% 0.39/24.58 # Condensation successes : 0
% 0.39/24.58 # Termbank termtop insertions : 3089
% 0.39/24.58
% 0.39/24.58 # -------------------------------------------------
% 0.39/24.58 # User time : 0.009 s
% 0.39/24.58 # System time : 0.003 s
% 0.39/24.58 # Total time : 0.012 s
% 0.39/24.58 # Maximum resident set size: 3268 pages
% 0.39/24.58 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.39/24.58 # Preprocessing time : 0.034 s
% 0.39/24.58
% 0.39/24.58 # Proof found!
% 0.39/24.58 # SZS status Theorem
% 0.39/24.58 # SZS output start CNFRefutation
% See solution above
% 0.39/24.58 # Proof object total steps : 62
% 0.39/24.58 # Proof object clause steps : 41
% 0.39/24.58 # Proof object formula steps : 21
% 0.39/24.58 # Proof object conjectures : 23
% 0.39/24.58 # Proof object clause conjectures : 20
% 0.39/24.58 # Proof object formula conjectures : 3
% 0.39/24.58 # Proof object initial clauses used : 14
% 0.39/24.58 # Proof object initial formulas used : 10
% 0.39/24.58 # Proof object generating inferences : 21
% 0.39/24.58 # Proof object simplifying inferences : 9
% 0.39/24.58 # Training examples: 0 positive, 0 negative
% 0.39/24.58 # Parsed axioms : 62
% 0.39/24.58 # Removed by relevancy pruning/SinE : 0
% 0.39/24.58 # Initial clauses : 426
% 0.39/24.58 # Removed in clause preprocessing : 10
% 0.39/24.58 # Initial clauses in saturation : 416
% 0.39/24.58 # Processed clauses : 3353
% 0.39/24.58 # ...of these trivial : 44
% 0.39/24.58 # ...subsumed : 1531
% 0.39/24.58 # ...remaining for further processing : 1778
% 0.39/24.58 # Other redundant clauses eliminated : 538
% 0.39/24.58 # Clauses deleted for lack of memory : 0
% 0.39/24.58 # Backward-subsumed : 123
% 0.39/24.58 # Backward-rewritten : 27
% 0.39/24.58 # Generated clauses : 40758
% 0.39/24.58 # ...of the previous two non-trivial : 39261
% 0.39/24.58 # Contextual simplify-reflections : 0
% 0.39/24.58 # Paramodulations : 39834
% 0.39/24.58 # Factorizations : 22
% 0.39/24.58 # Equation resolutions : 812
% 0.39/24.58 # Current number of processed clauses : 1509
% 0.39/24.58 # Positive orientable unit clauses : 169
% 0.39/24.58 # Positive unorientable unit clauses: 0
% 0.39/24.58 # Negative unit clauses : 113
% 0.39/24.58 # Non-unit-clauses : 1227
% 0.39/24.58 # Current number of unprocessed clauses: 3671
% 0.39/24.58 # ...number of literals in the above : 12492
% 0.39/24.58 # Current number of archived formulas : 0
% 0.39/24.58 # Current number of archived clauses : 251
% 0.39/24.58 # Clause-clause subsumption calls (NU) : 97663
% 0.39/24.58 # Rec. Clause-clause subsumption calls : 36743
% 0.39/24.58 # Non-unit clause-clause subsumptions : 1462
% 0.39/24.58 # Unit Clause-clause subsumption calls : 9114
% 0.39/24.58 # Rewrite failures with RHS unbound : 0
% 0.39/24.58 # BW rewrite match attempts : 2726
% 0.39/24.58 # BW rewrite match successes : 15
% 0.39/24.58 # Condensation attempts : 0
% 0.39/24.58 # Condensation successes : 0
% 0.39/24.58 # Termbank termtop insertions : 1232148
% 0.39/24.58
% 0.39/24.58 # -------------------------------------------------
% 0.39/24.58 # User time : 0.893 s
% 0.39/24.58 # System time : 0.015 s
% 0.39/24.58 # Total time : 0.908 s
% 0.39/24.58 # Maximum resident set size: 25996 pages
% 0.39/46.45 eprover: CPU time limit exceeded, terminating
% 0.39/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.46 eprover: No such file or directory
% 0.39/46.46 eprover: CPU time limit exceeded, terminating
% 0.39/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.46 eprover: No such file or directory
% 0.39/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.47 eprover: No such file or directory
% 0.39/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.47 eprover: No such file or directory
% 0.39/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.47 eprover: No such file or directory
% 0.39/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.47 eprover: No such file or directory
% 0.39/46.48 eprover: CPU time limit exceeded, terminating
% 0.39/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.48 eprover: No such file or directory
% 0.39/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.48 eprover: No such file or directory
% 0.39/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.48 eprover: No such file or directory
% 0.39/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.49 eprover: No such file or directory
% 0.39/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.49 eprover: No such file or directory
% 0.39/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.49 eprover: No such file or directory
% 0.39/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.49 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.51 eprover: No such file or directory
% 0.39/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.51 eprover: No such file or directory
% 0.39/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.51 eprover: No such file or directory
% 0.39/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.51 eprover: No such file or directory
% 0.39/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.51 eprover: No such file or directory
% 0.39/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.51 eprover: No such file or directory
% 0.39/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.52 eprover: No such file or directory
% 0.39/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.52 eprover: No such file or directory
% 0.39/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.52 eprover: No such file or directory
% 0.39/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.53 eprover: No such file or directory
%------------------------------------------------------------------------------