TSTP Solution File: COM138+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : COM138+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 0.22s 2.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 72 ( 18 unt; 0 def)
% Number of atoms : 282 ( 198 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 327 ( 117 ~; 151 |; 36 &)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 5 con; 0-3 aty)
% Number of variables : 259 ( 28 sgn 118 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/Axioms/COM001+0.ax',subst1) ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
fof('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-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
fof(subst3,axiom,
! [X11,X9,X1,X4,X6,X19,X21,X15,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,X12) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst3) ).
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/sandbox/benchmark/Axioms/COM001+0.ax',subst0) ).
fof('T-Strong-var',conjecture,
! [X9,X10,X20,X21,X15] :
( ( ~ visFreeVar(X9,vvar(X21))
& vtcheck(vbind(X9,X10,X20),vvar(X21),X15) )
=> vtcheck(X20,vvar(X21),X15) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','T-Strong-var') ).
fof(isValue0,axiom,
! [X9,X10,X11,X4] :
( X4 = vabs(X9,X10,X11)
=> visValue(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isValue0) ).
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/sandbox/benchmark/Axioms/COM001+0.ax',lookup2) ).
fof(isValue1,axiom,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isValue1) ).
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('T-var',axiom,
! [X20,X9,X15] :
( vlookup(X9,X20) = vsomeType(X15)
=> vtcheck(X20,vvar(X9),X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-var') ).
fof(c_0_12,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_13,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_12]) ).
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,
! [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'])])])])])]) ).
cnf(c_0_16,plain,
( X1 = vvar(X2)
| X2 = X3
| X1 != vsubst(X3,X4,X5)
| X5 != vvar(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])]) ).
cnf(c_0_17,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,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_15]) ).
fof(c_0_19,plain,
! [X7,X8,X9] : vvar(X7) != vapp(X8,X9),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(c_0_20,plain,
! [X22,X23,X24,X25,X26,X27,X28,X29,X30] :
( X24 != X23
| X25 != X22
| X26 != vabs(X28,X29,X30)
| X23 != X28
| X27 != vsubst(X24,X25,X26)
| X27 = vabs(X28,X29,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst3])]) ).
fof(c_0_21,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_22,plain,
( vsubst(X1,X2,X3) = vvar(X4)
| X4 = X1
| X3 != vvar(X4) ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) = X1
| vvar(esk24_3(X1,X2,X3)) = X1
| vvar(X4) != X1
| ~ vtcheck(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_25,negated_conjecture,
~ ! [X9,X10,X20,X21,X15] :
( ( ~ visFreeVar(X9,vvar(X21))
& vtcheck(vbind(X9,X10,X20),vvar(X21),X15) )
=> vtcheck(X20,vvar(X21),X15) ),
inference(assume_negation,[status(cth)],['T-Strong-var']) ).
cnf(c_0_26,plain,
( X1 = vabs(X2,X3,X4)
| X1 != vsubst(X5,X6,X7)
| X8 != X2
| X7 != vabs(X2,X3,X4)
| X6 != X9
| X5 != X8 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( X1 = X2
| X1 != vsubst(X3,X4,X5)
| X6 != X7
| X5 != vvar(X7)
| X4 != X2
| X3 != X6 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( vsubst(X1,X2,vvar(X3)) = vvar(X3)
| X3 = X1 ),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( vvar(esk24_3(vvar(X1),X2,X3)) = vvar(X1)
| ~ vtcheck(X3,vvar(X1),X2) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_23]),c_0_24]) ).
fof(c_0_30,negated_conjecture,
( ~ visFreeVar(esk32_0,vvar(esk35_0))
& vtcheck(vbind(esk32_0,esk33_0,esk34_0),vvar(esk35_0),esk36_0)
& ~ vtcheck(esk34_0,vvar(esk35_0),esk36_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_25])])])]) ).
cnf(c_0_31,plain,
( X1 = vabs(X2,X3,X4)
| X5 != vabs(X2,X3,X4)
| X1 != vsubst(X2,X6,X5) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_26])])]) ).
cnf(c_0_32,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_27])])]) ).
cnf(c_0_33,plain,
( vsubst(X1,X2,vvar(X3)) = vvar(X3)
| esk24_3(vvar(X3),X4,X5) = X1
| ~ vtcheck(X5,vvar(X3),X4) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
vtcheck(vbind(esk32_0,esk33_0,esk34_0),vvar(esk35_0),esk36_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( X1 = vabs(X2,X3,X4)
| X1 != vsubst(X2,X5,vabs(X2,X3,X4)) ),
inference(er,[status(thm)],[c_0_31]) ).
fof(c_0_36,plain,
( ~ epred6_0
<=> ! [X2] : vvar(esk35_0) = X2 ),
introduced(definition) ).
fof(c_0_37,plain,
! [X12,X13,X14,X15] :
( X15 != vabs(X12,X13,X14)
| visValue(X15) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isValue0])]) ).
fof(c_0_38,plain,
( ~ epred5_0
<=> ! [X1] :
( esk24_3(vvar(esk35_0),esk36_0,vbind(esk32_0,esk33_0,esk34_0)) = X1
| vvar(esk35_0) != vvar(X1) ) ),
introduced(definition) ).
cnf(c_0_39,plain,
( vsubst(X1,X2,X3) = X2
| X3 != vvar(X1) ),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
( esk24_3(vvar(esk35_0),esk36_0,vbind(esk32_0,esk33_0,esk34_0)) = X1
| vsubst(X1,X2,vvar(esk35_0)) = vvar(esk35_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,plain,
vsubst(X1,X2,vabs(X1,X3,X4)) = vabs(X1,X3,X4),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( vvar(esk35_0) = X1
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_36]) ).
fof(c_0_43,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_44,plain,
( visValue(X1)
| X1 != vabs(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,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_15]) ).
fof(c_0_46,plain,
! [X10,X11] :
( X11 != vvar(X10)
| ~ visValue(X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[isValue1])])]) ).
cnf(c_0_47,negated_conjecture,
( ~ epred6_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_38]),c_0_36]) ).
cnf(c_0_48,negated_conjecture,
epred6_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_17]) ).
cnf(c_0_49,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_43]) ).
cnf(c_0_50,plain,
( vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) = X1
| vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
| visValue(X1)
| ~ vtcheck(X3,X1,X2) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45])]) ).
cnf(c_0_51,plain,
( ~ visValue(X1)
| X1 != vvar(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,negated_conjecture,
~ epred5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).
fof(c_0_53,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_54,plain,
( X1 = vlookup(X2,X3)
| X2 = X4
| X5 != vbind(X4,X6,X3)
| X1 != vlookup(X2,X5) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_55,plain,
( vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
| vvar(X4) != X1
| ~ vtcheck(X3,X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_50]),c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( esk24_3(vvar(esk35_0),esk36_0,vbind(esk32_0,esk33_0,esk34_0)) = X1
| vvar(esk35_0) != vvar(X1) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_38]),c_0_52]) ).
fof(c_0_57,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_58,plain,
( visFreeVar(X3,X1)
| X1 != vvar(X2)
| X3 != X4
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,plain,
( X1 = vlookup(X2,X3)
| X2 = X4
| X1 != vlookup(X2,vbind(X4,X5,X3)) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_60,plain,
( vlookup(esk24_3(vvar(X1),X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,vvar(X1),X2) ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_61,negated_conjecture,
esk24_3(vvar(esk35_0),esk36_0,vbind(esk32_0,esk33_0,esk34_0)) = esk35_0,
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_62,negated_conjecture,
~ vtcheck(esk34_0,vvar(esk35_0),esk36_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_63,plain,
( vtcheck(X1,vvar(X2),X3)
| vlookup(X2,X1) != vsomeType(X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_64,negated_conjecture,
~ visFreeVar(esk32_0,vvar(esk35_0)),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_65,plain,
( visFreeVar(X1,X2)
| X2 != vvar(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_58])]) ).
cnf(c_0_66,plain,
( vlookup(X1,vbind(X2,X3,X4)) = vlookup(X1,X4)
| X1 = X2 ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_67,negated_conjecture,
vlookup(esk35_0,vbind(esk32_0,esk33_0,esk34_0)) = vsomeType(esk36_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_34])]) ).
cnf(c_0_68,negated_conjecture,
vlookup(esk35_0,esk34_0) != vsomeType(esk36_0),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
vvar(esk32_0) != vvar(esk35_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
esk32_0 = esk35_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM138+1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 19:22:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/2.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.22/2.41 # Preprocessing time : 0.035 s
% 0.22/2.41
% 0.22/2.41 # Proof found!
% 0.22/2.41 # SZS status Theorem
% 0.22/2.41 # SZS output start CNFRefutation
% See solution above
% 0.22/2.41 # Proof object total steps : 72
% 0.22/2.41 # Proof object clause steps : 45
% 0.22/2.41 # Proof object formula steps : 27
% 0.22/2.41 # Proof object conjectures : 18
% 0.22/2.41 # Proof object clause conjectures : 15
% 0.22/2.41 # Proof object formula conjectures : 3
% 0.22/2.41 # Proof object initial clauses used : 16
% 0.22/2.41 # Proof object initial formulas used : 12
% 0.22/2.41 # Proof object generating inferences : 21
% 0.22/2.41 # Proof object simplifying inferences : 25
% 0.22/2.41 # Training examples: 0 positive, 0 negative
% 0.22/2.41 # Parsed axioms : 56
% 0.22/2.41 # Removed by relevancy pruning/SinE : 0
% 0.22/2.41 # Initial clauses : 419
% 0.22/2.41 # Removed in clause preprocessing : 10
% 0.22/2.41 # Initial clauses in saturation : 409
% 0.22/2.41 # Processed clauses : 4838
% 0.22/2.41 # ...of these trivial : 5
% 0.22/2.41 # ...subsumed : 2882
% 0.22/2.41 # ...remaining for further processing : 1951
% 0.22/2.41 # Other redundant clauses eliminated : 20138
% 0.22/2.41 # Clauses deleted for lack of memory : 0
% 0.22/2.41 # Backward-subsumed : 52
% 0.22/2.41 # Backward-rewritten : 159
% 0.22/2.41 # Generated clauses : 84776
% 0.22/2.41 # ...of the previous two non-trivial : 64123
% 0.22/2.41 # Contextual simplify-reflections : 4581
% 0.22/2.41 # Paramodulations : 63874
% 0.22/2.41 # Factorizations : 5
% 0.22/2.41 # Equation resolutions : 20866
% 0.22/2.41 # Current number of processed clauses : 1707
% 0.22/2.41 # Positive orientable unit clauses : 27
% 0.22/2.41 # Positive unorientable unit clauses: 0
% 0.22/2.41 # Negative unit clauses : 211
% 0.22/2.41 # Non-unit-clauses : 1469
% 0.22/2.41 # Current number of unprocessed clauses: 42127
% 0.22/2.41 # ...number of literals in the above : 298127
% 0.22/2.41 # Current number of archived formulas : 0
% 0.22/2.41 # Current number of archived clauses : 211
% 0.22/2.41 # Clause-clause subsumption calls (NU) : 1052894
% 0.22/2.41 # Rec. Clause-clause subsumption calls : 160897
% 0.22/2.41 # Non-unit clause-clause subsumptions : 7450
% 0.22/2.41 # Unit Clause-clause subsumption calls : 24784
% 0.22/2.41 # Rewrite failures with RHS unbound : 0
% 0.22/2.41 # BW rewrite match attempts : 82
% 0.22/2.41 # BW rewrite match successes : 23
% 0.22/2.41 # Condensation attempts : 0
% 0.22/2.41 # Condensation successes : 0
% 0.22/2.41 # Termbank termtop insertions : 1609683
% 0.22/2.41
% 0.22/2.41 # -------------------------------------------------
% 0.22/2.41 # User time : 1.374 s
% 0.22/2.41 # System time : 0.030 s
% 0.22/2.41 # Total time : 1.404 s
% 0.22/2.41 # Maximum resident set size: 47080 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------