TSTP Solution File: COM142+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : COM142+1 : TPTP v6.4.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n026.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 16091.75MB
% OS : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Mar 28 10:03:42 EDT 2016
% Result : Theorem 21.81s
% Output : CNFRefutation 21.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 67 ( 15 unt; 0 def)
% Number of atoms : 273 ( 41 equ)
% Maximal formula atoms : 72 ( 4 avg)
% Number of connectives : 300 ( 94 ~; 141 |; 57 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-3 aty)
% Number of variables : 233 ( 25 sgn 94 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X2,X7,X8,X9] :
( ( equal(vapp(X2,X7),vapp(X8,X9))
=> ( equal(X2,X8)
& equal(X7,X9) ) )
& ( ( equal(X2,X8)
& equal(X7,X9) )
=> equal(vapp(X2,X7),vapp(X8,X9)) ) ),
file('/export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_4','EQ-app') ).
fof(31,axiom,
! [X10,X18,X2,X7,X8] : ~ equal(vabs(X10,X18,X2),vapp(X7,X8)),
file('/export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_4','DIFF-abs-app') ).
fof(33,axiom,
! [X10,X2,X7] : ~ equal(vvar(X10),vapp(X2,X7)),
file('/export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_4','DIFF-var-app') ).
fof(43,axiom,
! [X3,X16,X5,X6,X17] :
( ( vtcheck(X16,X5,varrow(X3,X17))
& vtcheck(X16,X6,X3) )
=> vtcheck(X16,vapp(X5,X6),X17) ),
file('/export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_4','T-app') ).
fof(47,axiom,
! [X4,X17,X16] :
( vtcheck(X16,X4,X17)
=> ( ? [X1] :
( equal(X4,vvar(X1))
& equal(vlookup(X1,X16),vsomeType(X17)) )
| ? [X1,X6,X31,X32] :
( equal(X4,vabs(X1,X31,X6))
& equal(X17,varrow(X31,X32))
& vtcheck(vbind(X1,X31,X16),X6,X32) )
| ? [X5,X6,X3] :
( equal(X4,vapp(X5,X6))
& vtcheck(X16,X5,varrow(X3,X17))
& vtcheck(X16,X6,X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_4','T-inv') ).
fof(49,conjecture,
! [X1,X3,X16,X17] :
( ( equal(vlookup(X1,X16),vnoType)
& vtcheck(X16,vapp(ve1app,ve2app),X17) )
=> vtcheck(vbind(X1,X3,X16),vapp(ve1app,ve2app),X17) ),
file('/export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_4','T-Weak-app') ).
fof(50,axiom,
! [X1,X3,X16,X17] :
( ( equal(vlookup(X1,X16),vnoType)
& vtcheck(X16,ve1app,X17) )
=> vtcheck(vbind(X1,X3,X16),ve1app,X17) ),
file('/export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_4','T-Weak-app-IH1') ).
fof(51,axiom,
! [X1,X3,X16,X17] :
( ( equal(vlookup(X1,X16),vnoType)
& vtcheck(X16,ve2app,X17) )
=> vtcheck(vbind(X1,X3,X16),ve2app,X17) ),
file('/export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_4','T-Weak-app-IH2') ).
fof(52,negated_conjecture,
~ ! [X1,X3,X16,X17] :
( ( equal(vlookup(X1,X16),vnoType)
& vtcheck(X16,vapp(ve1app,ve2app),X17) )
=> vtcheck(vbind(X1,X3,X16),vapp(ve1app,ve2app),X17) ),
inference(assume_negation,[status(cth)],[49]) ).
fof(74,plain,
! [X2,X7,X8,X9] :
( ( ~ equal(vapp(X2,X7),vapp(X8,X9))
| ( equal(X2,X8)
& equal(X7,X9) ) )
& ( ~ equal(X2,X8)
| ~ equal(X7,X9)
| equal(vapp(X2,X7),vapp(X8,X9)) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(75,plain,
! [X10,X11,X12,X13] :
( ( ~ equal(vapp(X10,X11),vapp(X12,X13))
| ( equal(X10,X12)
& equal(X11,X13) ) )
& ( ~ equal(X10,X12)
| ~ equal(X11,X13)
| equal(vapp(X10,X11),vapp(X12,X13)) ) ),
inference(variable_rename,[status(thm)],[74]) ).
fof(76,plain,
! [X10,X11,X12,X13] :
( ( equal(X10,X12)
| ~ equal(vapp(X10,X11),vapp(X12,X13)) )
& ( equal(X11,X13)
| ~ equal(vapp(X10,X11),vapp(X12,X13)) )
& ( ~ equal(X10,X12)
| ~ equal(X11,X13)
| equal(vapp(X10,X11),vapp(X12,X13)) ) ),
inference(distribute,[status(thm)],[75]) ).
cnf(78,plain,
( X2 = X4
| vapp(X1,X2) != vapp(X3,X4) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(79,plain,
( X1 = X3
| vapp(X1,X2) != vapp(X3,X4) ),
inference(split_conjunct,[status(thm)],[76]) ).
fof(179,plain,
! [X19,X20,X21,X22,X23] : ~ equal(vabs(X19,X20,X21),vapp(X22,X23)),
inference(variable_rename,[status(thm)],[31]) ).
cnf(180,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[179]) ).
fof(184,plain,
! [X11,X12,X13] : ~ equal(vvar(X11),vapp(X12,X13)),
inference(variable_rename,[status(thm)],[33]) ).
cnf(185,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[184]) ).
fof(261,plain,
! [X3,X16,X5,X6,X17] :
( ~ vtcheck(X16,X5,varrow(X3,X17))
| ~ vtcheck(X16,X6,X3)
| vtcheck(X16,vapp(X5,X6),X17) ),
inference(fof_nnf,[status(thm)],[43]) ).
fof(262,plain,
! [X18,X19,X20,X21,X22] :
( ~ vtcheck(X19,X20,varrow(X18,X22))
| ~ vtcheck(X19,X21,X18)
| vtcheck(X19,vapp(X20,X21),X22) ),
inference(variable_rename,[status(thm)],[261]) ).
cnf(263,plain,
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X3,X5)
| ~ vtcheck(X1,X2,varrow(X5,X4)) ),
inference(split_conjunct,[status(thm)],[262]) ).
fof(279,plain,
! [X4,X17,X16] :
( ~ vtcheck(X16,X4,X17)
| ? [X1] :
( equal(X4,vvar(X1))
& equal(vlookup(X1,X16),vsomeType(X17)) )
| ? [X1,X6,X31,X32] :
( equal(X4,vabs(X1,X31,X6))
& equal(X17,varrow(X31,X32))
& vtcheck(vbind(X1,X31,X16),X6,X32) )
| ? [X5,X6,X3] :
( equal(X4,vapp(X5,X6))
& vtcheck(X16,X5,varrow(X3,X17))
& vtcheck(X16,X6,X3) ) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(280,plain,
! [X33,X34,X35] :
( ~ vtcheck(X35,X33,X34)
| ? [X36] :
( equal(X33,vvar(X36))
& equal(vlookup(X36,X35),vsomeType(X34)) )
| ? [X37,X38,X39,X40] :
( equal(X33,vabs(X37,X39,X38))
& equal(X34,varrow(X39,X40))
& vtcheck(vbind(X37,X39,X35),X38,X40) )
| ? [X41,X42,X43] :
( equal(X33,vapp(X41,X42))
& vtcheck(X35,X41,varrow(X43,X34))
& vtcheck(X35,X42,X43) ) ),
inference(variable_rename,[status(thm)],[279]) ).
fof(281,plain,
! [X33,X34,X35] :
( ~ vtcheck(X35,X33,X34)
| ( equal(X33,vvar(esk19_3(X33,X34,X35)))
& equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34)) )
| ( equal(X33,vabs(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),esk21_3(X33,X34,X35)))
& equal(X34,varrow(esk22_3(X33,X34,X35),esk23_3(X33,X34,X35)))
& vtcheck(vbind(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),X35),esk21_3(X33,X34,X35),esk23_3(X33,X34,X35)) )
| ( equal(X33,vapp(esk24_3(X33,X34,X35),esk25_3(X33,X34,X35)))
& vtcheck(X35,esk24_3(X33,X34,X35),varrow(esk26_3(X33,X34,X35),X34))
& vtcheck(X35,esk25_3(X33,X34,X35),esk26_3(X33,X34,X35)) ) ),
inference(skolemize,[status(esa)],[280]) ).
fof(282,plain,
! [X33,X34,X35] :
( ( equal(X33,vapp(esk24_3(X33,X34,X35),esk25_3(X33,X34,X35)))
| equal(X33,vabs(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),esk21_3(X33,X34,X35)))
| equal(X33,vvar(esk19_3(X33,X34,X35)))
| ~ vtcheck(X35,X33,X34) )
& ( vtcheck(X35,esk24_3(X33,X34,X35),varrow(esk26_3(X33,X34,X35),X34))
| equal(X33,vabs(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),esk21_3(X33,X34,X35)))
| equal(X33,vvar(esk19_3(X33,X34,X35)))
| ~ vtcheck(X35,X33,X34) )
& ( vtcheck(X35,esk25_3(X33,X34,X35),esk26_3(X33,X34,X35))
| equal(X33,vabs(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),esk21_3(X33,X34,X35)))
| equal(X33,vvar(esk19_3(X33,X34,X35)))
| ~ vtcheck(X35,X33,X34) )
& ( equal(X33,vapp(esk24_3(X33,X34,X35),esk25_3(X33,X34,X35)))
| equal(X34,varrow(esk22_3(X33,X34,X35),esk23_3(X33,X34,X35)))
| equal(X33,vvar(esk19_3(X33,X34,X35)))
| ~ vtcheck(X35,X33,X34) )
& ( vtcheck(X35,esk24_3(X33,X34,X35),varrow(esk26_3(X33,X34,X35),X34))
| equal(X34,varrow(esk22_3(X33,X34,X35),esk23_3(X33,X34,X35)))
| equal(X33,vvar(esk19_3(X33,X34,X35)))
| ~ vtcheck(X35,X33,X34) )
& ( vtcheck(X35,esk25_3(X33,X34,X35),esk26_3(X33,X34,X35))
| equal(X34,varrow(esk22_3(X33,X34,X35),esk23_3(X33,X34,X35)))
| equal(X33,vvar(esk19_3(X33,X34,X35)))
| ~ vtcheck(X35,X33,X34) )
& ( equal(X33,vapp(esk24_3(X33,X34,X35),esk25_3(X33,X34,X35)))
| vtcheck(vbind(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),X35),esk21_3(X33,X34,X35),esk23_3(X33,X34,X35))
| equal(X33,vvar(esk19_3(X33,X34,X35)))
| ~ vtcheck(X35,X33,X34) )
& ( vtcheck(X35,esk24_3(X33,X34,X35),varrow(esk26_3(X33,X34,X35),X34))
| vtcheck(vbind(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),X35),esk21_3(X33,X34,X35),esk23_3(X33,X34,X35))
| equal(X33,vvar(esk19_3(X33,X34,X35)))
| ~ vtcheck(X35,X33,X34) )
& ( vtcheck(X35,esk25_3(X33,X34,X35),esk26_3(X33,X34,X35))
| vtcheck(vbind(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),X35),esk21_3(X33,X34,X35),esk23_3(X33,X34,X35))
| equal(X33,vvar(esk19_3(X33,X34,X35)))
| ~ vtcheck(X35,X33,X34) )
& ( equal(X33,vapp(esk24_3(X33,X34,X35),esk25_3(X33,X34,X35)))
| equal(X33,vabs(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),esk21_3(X33,X34,X35)))
| equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
| ~ vtcheck(X35,X33,X34) )
& ( vtcheck(X35,esk24_3(X33,X34,X35),varrow(esk26_3(X33,X34,X35),X34))
| equal(X33,vabs(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),esk21_3(X33,X34,X35)))
| equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
| ~ vtcheck(X35,X33,X34) )
& ( vtcheck(X35,esk25_3(X33,X34,X35),esk26_3(X33,X34,X35))
| equal(X33,vabs(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),esk21_3(X33,X34,X35)))
| equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
| ~ vtcheck(X35,X33,X34) )
& ( equal(X33,vapp(esk24_3(X33,X34,X35),esk25_3(X33,X34,X35)))
| equal(X34,varrow(esk22_3(X33,X34,X35),esk23_3(X33,X34,X35)))
| equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
| ~ vtcheck(X35,X33,X34) )
& ( vtcheck(X35,esk24_3(X33,X34,X35),varrow(esk26_3(X33,X34,X35),X34))
| equal(X34,varrow(esk22_3(X33,X34,X35),esk23_3(X33,X34,X35)))
| equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
| ~ vtcheck(X35,X33,X34) )
& ( vtcheck(X35,esk25_3(X33,X34,X35),esk26_3(X33,X34,X35))
| equal(X34,varrow(esk22_3(X33,X34,X35),esk23_3(X33,X34,X35)))
| equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
| ~ vtcheck(X35,X33,X34) )
& ( equal(X33,vapp(esk24_3(X33,X34,X35),esk25_3(X33,X34,X35)))
| vtcheck(vbind(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),X35),esk21_3(X33,X34,X35),esk23_3(X33,X34,X35))
| equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
| ~ vtcheck(X35,X33,X34) )
& ( vtcheck(X35,esk24_3(X33,X34,X35),varrow(esk26_3(X33,X34,X35),X34))
| vtcheck(vbind(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),X35),esk21_3(X33,X34,X35),esk23_3(X33,X34,X35))
| equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
| ~ vtcheck(X35,X33,X34) )
& ( vtcheck(X35,esk25_3(X33,X34,X35),esk26_3(X33,X34,X35))
| vtcheck(vbind(esk20_3(X33,X34,X35),esk22_3(X33,X34,X35),X35),esk21_3(X33,X34,X35),esk23_3(X33,X34,X35))
| equal(vlookup(esk19_3(X33,X34,X35),X35),vsomeType(X34))
| ~ vtcheck(X35,X33,X34) ) ),
inference(distribute,[status(thm)],[281]) ).
cnf(298,plain,
( X2 = vvar(esk19_3(X2,X3,X1))
| X2 = vabs(esk20_3(X2,X3,X1),esk22_3(X2,X3,X1),esk21_3(X2,X3,X1))
| vtcheck(X1,esk25_3(X2,X3,X1),esk26_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[282]) ).
cnf(299,plain,
( X2 = vvar(esk19_3(X2,X3,X1))
| X2 = vabs(esk20_3(X2,X3,X1),esk22_3(X2,X3,X1),esk21_3(X2,X3,X1))
| vtcheck(X1,esk24_3(X2,X3,X1),varrow(esk26_3(X2,X3,X1),X3))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[282]) ).
cnf(300,plain,
( X2 = vvar(esk19_3(X2,X3,X1))
| X2 = vabs(esk20_3(X2,X3,X1),esk22_3(X2,X3,X1),esk21_3(X2,X3,X1))
| X2 = vapp(esk24_3(X2,X3,X1),esk25_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[282]) ).
fof(305,negated_conjecture,
? [X1,X3,X16,X17] :
( equal(vlookup(X1,X16),vnoType)
& vtcheck(X16,vapp(ve1app,ve2app),X17)
& ~ vtcheck(vbind(X1,X3,X16),vapp(ve1app,ve2app),X17) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(306,negated_conjecture,
? [X18,X19,X20,X21] :
( equal(vlookup(X18,X20),vnoType)
& vtcheck(X20,vapp(ve1app,ve2app),X21)
& ~ vtcheck(vbind(X18,X19,X20),vapp(ve1app,ve2app),X21) ),
inference(variable_rename,[status(thm)],[305]) ).
fof(307,negated_conjecture,
( equal(vlookup(esk27_0,esk29_0),vnoType)
& vtcheck(esk29_0,vapp(ve1app,ve2app),esk30_0)
& ~ vtcheck(vbind(esk27_0,esk28_0,esk29_0),vapp(ve1app,ve2app),esk30_0) ),
inference(skolemize,[status(esa)],[306]) ).
cnf(308,negated_conjecture,
~ vtcheck(vbind(esk27_0,esk28_0,esk29_0),vapp(ve1app,ve2app),esk30_0),
inference(split_conjunct,[status(thm)],[307]) ).
cnf(309,negated_conjecture,
vtcheck(esk29_0,vapp(ve1app,ve2app),esk30_0),
inference(split_conjunct,[status(thm)],[307]) ).
cnf(310,negated_conjecture,
vlookup(esk27_0,esk29_0) = vnoType,
inference(split_conjunct,[status(thm)],[307]) ).
fof(311,plain,
! [X1,X3,X16,X17] :
( ~ equal(vlookup(X1,X16),vnoType)
| ~ vtcheck(X16,ve1app,X17)
| vtcheck(vbind(X1,X3,X16),ve1app,X17) ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(312,plain,
! [X18,X19,X20,X21] :
( ~ equal(vlookup(X18,X20),vnoType)
| ~ vtcheck(X20,ve1app,X21)
| vtcheck(vbind(X18,X19,X20),ve1app,X21) ),
inference(variable_rename,[status(thm)],[311]) ).
cnf(313,plain,
( vtcheck(vbind(X1,X2,X3),ve1app,X4)
| ~ vtcheck(X3,ve1app,X4)
| vlookup(X1,X3) != vnoType ),
inference(split_conjunct,[status(thm)],[312]) ).
fof(314,plain,
! [X1,X3,X16,X17] :
( ~ equal(vlookup(X1,X16),vnoType)
| ~ vtcheck(X16,ve2app,X17)
| vtcheck(vbind(X1,X3,X16),ve2app,X17) ),
inference(fof_nnf,[status(thm)],[51]) ).
fof(315,plain,
! [X18,X19,X20,X21] :
( ~ equal(vlookup(X18,X20),vnoType)
| ~ vtcheck(X20,ve2app,X21)
| vtcheck(vbind(X18,X19,X20),ve2app,X21) ),
inference(variable_rename,[status(thm)],[314]) ).
cnf(316,plain,
( vtcheck(vbind(X1,X2,X3),ve2app,X4)
| ~ vtcheck(X3,ve2app,X4)
| vlookup(X1,X3) != vnoType ),
inference(split_conjunct,[status(thm)],[315]) ).
cnf(460,plain,
( vtcheck(vbind(X1,X2,X3),vapp(ve1app,X4),X5)
| ~ vtcheck(vbind(X1,X2,X3),X4,X6)
| vlookup(X1,X3) != vnoType
| ~ vtcheck(X3,ve1app,varrow(X6,X5)) ),
inference(spm,[status(thm)],[263,313,theory(equality)]) ).
cnf(1065,plain,
( vvar(esk19_3(X1,X2,X3)) = X1
| vtcheck(X3,esk25_3(X1,X2,X3),esk26_3(X1,X2,X3))
| X1 != vapp(X4,X5)
| ~ vtcheck(X3,X1,X2) ),
inference(spm,[status(thm)],[180,298,theory(equality)]) ).
cnf(1113,plain,
( vapp(esk24_3(X1,X2,X3),esk25_3(X1,X2,X3)) = X1
| vvar(esk19_3(X1,X2,X3)) = X1
| X1 != vapp(X4,X5)
| ~ vtcheck(X3,X1,X2) ),
inference(spm,[status(thm)],[180,300,theory(equality)]) ).
cnf(1226,negated_conjecture,
( vabs(esk20_3(vapp(ve1app,ve2app),esk30_0,esk29_0),esk22_3(vapp(ve1app,ve2app),esk30_0,esk29_0),esk21_3(vapp(ve1app,ve2app),esk30_0,esk29_0)) = vapp(ve1app,ve2app)
| vvar(esk19_3(vapp(ve1app,ve2app),esk30_0,esk29_0)) = vapp(ve1app,ve2app)
| vtcheck(esk29_0,esk24_3(vapp(ve1app,ve2app),esk30_0,esk29_0),varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,esk29_0),esk30_0)) ),
inference(spm,[status(thm)],[299,309,theory(equality)]) ).
cnf(1233,negated_conjecture,
( vvar(esk19_3(vapp(ve1app,ve2app),esk30_0,esk29_0)) = vapp(ve1app,ve2app)
| vtcheck(esk29_0,esk24_3(vapp(ve1app,ve2app),esk30_0,esk29_0),varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,esk29_0),esk30_0)) ),
inference(sr,[status(thm)],[1226,180,theory(equality)]) ).
cnf(1234,negated_conjecture,
vtcheck(esk29_0,esk24_3(vapp(ve1app,ve2app),esk30_0,esk29_0),varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,esk29_0),esk30_0)),
inference(sr,[status(thm)],[1233,185,theory(equality)]) ).
cnf(1950,plain,
( vtcheck(vbind(X1,X2,X3),vapp(ve1app,ve2app),X4)
| vlookup(X1,X3) != vnoType
| ~ vtcheck(X3,ve1app,varrow(X5,X4))
| ~ vtcheck(X3,ve2app,X5) ),
inference(spm,[status(thm)],[460,316,theory(equality)]) ).
cnf(124664,plain,
( vvar(esk19_3(vapp(X1,X2),X3,X4)) = vapp(X1,X2)
| vtcheck(X4,esk25_3(vapp(X1,X2),X3,X4),esk26_3(vapp(X1,X2),X3,X4))
| ~ vtcheck(X4,vapp(X1,X2),X3) ),
inference(er,[status(thm)],[1065,theory(equality)]) ).
cnf(124716,plain,
( vtcheck(X4,esk25_3(vapp(X1,X2),X3,X4),esk26_3(vapp(X1,X2),X3,X4))
| ~ vtcheck(X4,vapp(X1,X2),X3) ),
inference(sr,[status(thm)],[124664,185,theory(equality)]) ).
cnf(133938,plain,
( vapp(esk24_3(vapp(X1,X2),X3,X4),esk25_3(vapp(X1,X2),X3,X4)) = vapp(X1,X2)
| vvar(esk19_3(vapp(X1,X2),X3,X4)) = vapp(X1,X2)
| ~ vtcheck(X4,vapp(X1,X2),X3) ),
inference(er,[status(thm)],[1113,theory(equality)]) ).
cnf(133990,plain,
( vapp(esk24_3(vapp(X1,X2),X3,X4),esk25_3(vapp(X1,X2),X3,X4)) = vapp(X1,X2)
| ~ vtcheck(X4,vapp(X1,X2),X3) ),
inference(sr,[status(thm)],[133938,185,theory(equality)]) ).
cnf(536117,plain,
( esk25_3(vapp(X1,X2),X3,X4) = X5
| vapp(X1,X2) != vapp(X6,X5)
| ~ vtcheck(X4,vapp(X1,X2),X3) ),
inference(spm,[status(thm)],[78,133990,theory(equality)]) ).
cnf(536119,plain,
( esk24_3(vapp(X1,X2),X3,X4) = X5
| vapp(X1,X2) != vapp(X5,X6)
| ~ vtcheck(X4,vapp(X1,X2),X3) ),
inference(spm,[status(thm)],[79,133990,theory(equality)]) ).
cnf(536663,plain,
( esk25_3(vapp(X1,X2),X3,X4) = X2
| ~ vtcheck(X4,vapp(X1,X2),X3) ),
inference(er,[status(thm)],[536117,theory(equality)]) ).
cnf(536883,plain,
( vtcheck(X1,X3,esk26_3(vapp(X2,X3),X4,X1))
| ~ vtcheck(X1,vapp(X2,X3),X4) ),
inference(spm,[status(thm)],[124716,536663,theory(equality)]) ).
cnf(542171,plain,
( esk24_3(vapp(X1,X2),X3,X4) = X1
| ~ vtcheck(X4,vapp(X1,X2),X3) ),
inference(er,[status(thm)],[536119,theory(equality)]) ).
cnf(542338,negated_conjecture,
( vtcheck(esk29_0,ve1app,varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,esk29_0),esk30_0))
| ~ vtcheck(esk29_0,vapp(ve1app,ve2app),esk30_0) ),
inference(spm,[status(thm)],[1234,542171,theory(equality)]) ).
cnf(542464,negated_conjecture,
( vtcheck(esk29_0,ve1app,varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,esk29_0),esk30_0))
| $false ),
inference(rw,[status(thm)],[542338,309,theory(equality)]) ).
cnf(542465,negated_conjecture,
vtcheck(esk29_0,ve1app,varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,esk29_0),esk30_0)),
inference(cn,[status(thm)],[542464,theory(equality)]) ).
cnf(542538,negated_conjecture,
( vtcheck(vbind(X1,X2,esk29_0),vapp(ve1app,ve2app),esk30_0)
| vlookup(X1,esk29_0) != vnoType
| ~ vtcheck(esk29_0,ve2app,esk26_3(vapp(ve1app,ve2app),esk30_0,esk29_0)) ),
inference(spm,[status(thm)],[1950,542465,theory(equality)]) ).
cnf(544387,negated_conjecture,
( vtcheck(vbind(X1,X2,esk29_0),vapp(ve1app,ve2app),esk30_0)
| vlookup(X1,esk29_0) != vnoType
| ~ vtcheck(esk29_0,vapp(ve1app,ve2app),esk30_0) ),
inference(spm,[status(thm)],[542538,536883,theory(equality)]) ).
cnf(544388,negated_conjecture,
( vtcheck(vbind(X1,X2,esk29_0),vapp(ve1app,ve2app),esk30_0)
| vlookup(X1,esk29_0) != vnoType
| $false ),
inference(rw,[status(thm)],[544387,309,theory(equality)]) ).
cnf(544389,negated_conjecture,
( vtcheck(vbind(X1,X2,esk29_0),vapp(ve1app,ve2app),esk30_0)
| vlookup(X1,esk29_0) != vnoType ),
inference(cn,[status(thm)],[544388,theory(equality)]) ).
cnf(544390,negated_conjecture,
vlookup(esk27_0,esk29_0) != vnoType,
inference(spm,[status(thm)],[308,544389,theory(equality)]) ).
cnf(544453,negated_conjecture,
$false,
inference(rw,[status(thm)],[544390,310,theory(equality)]) ).
cnf(544454,negated_conjecture,
$false,
inference(cn,[status(thm)],[544453,theory(equality)]) ).
cnf(544455,negated_conjecture,
$false,
544454,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM142+1 : TPTP v6.4.0. Released v6.4.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n026.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 16091.75MB
% 0.02/0.23 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Mar 25 12:17:49 CDT 2016
% 0.02/0.23 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for [COM001+0.ax]
% 0.06/0.41 -running prover on /export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.41 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_1']
% 0.06/0.41 -prover status CounterSatisfiable
% 0.06/0.41 -running prover on /export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_2 with time limit 89
% 0.06/0.41 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=89', '/export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_2']
% 0.06/0.41 -prover status CounterSatisfiable
% 0.06/0.41 --creating new selector for [COM001+0.ax]
% 0.06/0.47 -running prover on /export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_3 with time limit 119
% 0.06/0.47 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=119', '/export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_3']
% 0.06/0.47 -prover status CounterSatisfiable
% 0.06/0.47 --creating new selector for [COM001+0.ax]
% 21.81/22.16 -running prover on /export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_4 with time limit 149
% 21.81/22.16 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=149', '/export/starexec/sandbox2/tmp/tmpuQDWVZ/sel_theBenchmark.p_4']
% 21.81/22.16 -prover status Theorem
% 21.81/22.16 Problem theBenchmark.p solved in phase 3.
% 21.81/22.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.81/22.16 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.81/22.16 Solved 1 out of 1.
% 21.81/22.16 # Problem is unsatisfiable (or provable), constructing proof object
% 21.81/22.16 # SZS status Theorem
% 21.81/22.16 # SZS output start CNFRefutation.
% See solution above
% 21.81/22.20 # SZS output end CNFRefutation
%------------------------------------------------------------------------------