TSTP Solution File: COM137+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : COM137+1 : TPTP v6.4.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n015.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 204.76s
% Output : CNFRefutation 204.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of formulae : 82 ( 17 unt; 0 def)
% Number of atoms : 335 ( 37 equ)
% Maximal formula atoms : 72 ( 4 avg)
% Number of connectives : 376 ( 123 ~; 171 |; 68 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-3 aty)
% Number of variables : 276 ( 26 sgn 126 !; 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/tmpljjlfn/sel_theBenchmark.p_4','EQ-app') ).
fof(8,axiom,
! [X10,X2,X5,X12,X6] :
( ( equal(X10,X12)
& equal(X2,vapp(X5,X6)) )
=> ( ( ( visFreeVar(X12,X5)
| visFreeVar(X12,X6) )
=> visFreeVar(X10,X2) )
& ( visFreeVar(X10,X2)
=> ( visFreeVar(X12,X5)
| visFreeVar(X12,X6) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpljjlfn/sel_theBenchmark.p_4',isFreeVar2) ).
fof(31,axiom,
! [X10,X18,X2,X7,X8] : ~ equal(vabs(X10,X18,X2),vapp(X7,X8)),
file('/export/starexec/sandbox2/tmp/tmpljjlfn/sel_theBenchmark.p_4','DIFF-abs-app') ).
fof(33,axiom,
! [X10,X2,X7] : ~ equal(vvar(X10),vapp(X2,X7)),
file('/export/starexec/sandbox2/tmp/tmpljjlfn/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/tmpljjlfn/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/tmpljjlfn/sel_theBenchmark.p_4','T-inv') ).
fof(49,conjecture,
! [X1,X3,X16,X17] :
( ( ~ visFreeVar(X1,vapp(ve1app,ve2app))
& vtcheck(vbind(X1,X3,X16),vapp(ve1app,ve2app),X17) )
=> vtcheck(X16,vapp(ve1app,ve2app),X17) ),
file('/export/starexec/sandbox2/tmp/tmpljjlfn/sel_theBenchmark.p_4','T-Strong-app') ).
fof(50,axiom,
! [X1,X3,X16,X17] :
( ( ~ visFreeVar(X1,ve1app)
& vtcheck(vbind(X1,X3,X16),ve1app,X17) )
=> vtcheck(X16,ve1app,X17) ),
file('/export/starexec/sandbox2/tmp/tmpljjlfn/sel_theBenchmark.p_4','T-Strong-app-IH1') ).
fof(52,axiom,
! [X1,X3,X16,X17] :
( ( ~ visFreeVar(X1,ve2app)
& vtcheck(vbind(X1,X3,X16),ve2app,X17) )
=> vtcheck(X16,ve2app,X17) ),
file('/export/starexec/sandbox2/tmp/tmpljjlfn/sel_theBenchmark.p_4','T-Strong-app-IH2') ).
fof(53,negated_conjecture,
~ ! [X1,X3,X16,X17] :
( ( ~ visFreeVar(X1,vapp(ve1app,ve2app))
& vtcheck(vbind(X1,X3,X16),vapp(ve1app,ve2app),X17) )
=> vtcheck(X16,vapp(ve1app,ve2app),X17) ),
inference(assume_negation,[status(cth)],[49]) ).
fof(62,negated_conjecture,
~ ! [X1,X3,X16,X17] :
( ( ~ visFreeVar(X1,vapp(ve1app,ve2app))
& vtcheck(vbind(X1,X3,X16),vapp(ve1app,ve2app),X17) )
=> vtcheck(X16,vapp(ve1app,ve2app),X17) ),
inference(fof_simplification,[status(thm)],[53,theory(equality)]) ).
fof(63,plain,
! [X1,X3,X16,X17] :
( ( ~ visFreeVar(X1,ve1app)
& vtcheck(vbind(X1,X3,X16),ve1app,X17) )
=> vtcheck(X16,ve1app,X17) ),
inference(fof_simplification,[status(thm)],[50,theory(equality)]) ).
fof(64,plain,
! [X1,X3,X16,X17] :
( ( ~ visFreeVar(X1,ve2app)
& vtcheck(vbind(X1,X3,X16),ve2app,X17) )
=> vtcheck(X16,ve2app,X17) ),
inference(fof_simplification,[status(thm)],[52,theory(equality)]) ).
fof(78,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(79,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)],[78]) ).
fof(80,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)],[79]) ).
cnf(82,plain,
( X2 = X4
| vapp(X1,X2) != vapp(X3,X4) ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(83,plain,
( X1 = X3
| vapp(X1,X2) != vapp(X3,X4) ),
inference(split_conjunct,[status(thm)],[80]) ).
fof(96,plain,
! [X10,X2,X5,X12,X6] :
( ~ equal(X10,X12)
| ~ equal(X2,vapp(X5,X6))
| ( ( ( ~ visFreeVar(X12,X5)
& ~ visFreeVar(X12,X6) )
| visFreeVar(X10,X2) )
& ( ~ visFreeVar(X10,X2)
| visFreeVar(X12,X5)
| visFreeVar(X12,X6) ) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(97,plain,
! [X13,X14,X15,X16,X17] :
( ~ equal(X13,X16)
| ~ equal(X14,vapp(X15,X17))
| ( ( ( ~ visFreeVar(X16,X15)
& ~ visFreeVar(X16,X17) )
| visFreeVar(X13,X14) )
& ( ~ visFreeVar(X13,X14)
| visFreeVar(X16,X15)
| visFreeVar(X16,X17) ) ) ),
inference(variable_rename,[status(thm)],[96]) ).
fof(98,plain,
! [X13,X14,X15,X16,X17] :
( ( ~ visFreeVar(X16,X15)
| visFreeVar(X13,X14)
| ~ equal(X13,X16)
| ~ equal(X14,vapp(X15,X17)) )
& ( ~ visFreeVar(X16,X17)
| visFreeVar(X13,X14)
| ~ equal(X13,X16)
| ~ equal(X14,vapp(X15,X17)) )
& ( ~ visFreeVar(X13,X14)
| visFreeVar(X16,X15)
| visFreeVar(X16,X17)
| ~ equal(X13,X16)
| ~ equal(X14,vapp(X15,X17)) ) ),
inference(distribute,[status(thm)],[97]) ).
cnf(100,plain,
( visFreeVar(X4,X1)
| X1 != vapp(X2,X3)
| X4 != X5
| ~ visFreeVar(X5,X3) ),
inference(split_conjunct,[status(thm)],[98]) ).
cnf(101,plain,
( visFreeVar(X4,X1)
| X1 != vapp(X2,X3)
| X4 != X5
| ~ visFreeVar(X5,X2) ),
inference(split_conjunct,[status(thm)],[98]) ).
fof(183,plain,
! [X19,X20,X21,X22,X23] : ~ equal(vabs(X19,X20,X21),vapp(X22,X23)),
inference(variable_rename,[status(thm)],[31]) ).
cnf(184,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[183]) ).
fof(188,plain,
! [X11,X12,X13] : ~ equal(vvar(X11),vapp(X12,X13)),
inference(variable_rename,[status(thm)],[33]) ).
cnf(189,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[188]) ).
fof(265,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(266,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)],[265]) ).
cnf(267,plain,
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X3,X5)
| ~ vtcheck(X1,X2,varrow(X5,X4)) ),
inference(split_conjunct,[status(thm)],[266]) ).
fof(283,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(284,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)],[283]) ).
fof(285,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)],[284]) ).
fof(286,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)],[285]) ).
cnf(302,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)],[286]) ).
cnf(303,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)],[286]) ).
cnf(304,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)],[286]) ).
fof(309,negated_conjecture,
? [X1,X3,X16,X17] :
( ~ visFreeVar(X1,vapp(ve1app,ve2app))
& vtcheck(vbind(X1,X3,X16),vapp(ve1app,ve2app),X17)
& ~ vtcheck(X16,vapp(ve1app,ve2app),X17) ),
inference(fof_nnf,[status(thm)],[62]) ).
fof(310,negated_conjecture,
? [X18,X19,X20,X21] :
( ~ visFreeVar(X18,vapp(ve1app,ve2app))
& vtcheck(vbind(X18,X19,X20),vapp(ve1app,ve2app),X21)
& ~ vtcheck(X20,vapp(ve1app,ve2app),X21) ),
inference(variable_rename,[status(thm)],[309]) ).
fof(311,negated_conjecture,
( ~ visFreeVar(esk27_0,vapp(ve1app,ve2app))
& vtcheck(vbind(esk27_0,esk28_0,esk29_0),vapp(ve1app,ve2app),esk30_0)
& ~ vtcheck(esk29_0,vapp(ve1app,ve2app),esk30_0) ),
inference(skolemize,[status(esa)],[310]) ).
cnf(312,negated_conjecture,
~ vtcheck(esk29_0,vapp(ve1app,ve2app),esk30_0),
inference(split_conjunct,[status(thm)],[311]) ).
cnf(313,negated_conjecture,
vtcheck(vbind(esk27_0,esk28_0,esk29_0),vapp(ve1app,ve2app),esk30_0),
inference(split_conjunct,[status(thm)],[311]) ).
cnf(314,negated_conjecture,
~ visFreeVar(esk27_0,vapp(ve1app,ve2app)),
inference(split_conjunct,[status(thm)],[311]) ).
fof(315,plain,
! [X1,X3,X16,X17] :
( visFreeVar(X1,ve1app)
| ~ vtcheck(vbind(X1,X3,X16),ve1app,X17)
| vtcheck(X16,ve1app,X17) ),
inference(fof_nnf,[status(thm)],[63]) ).
fof(316,plain,
! [X18,X19,X20,X21] :
( visFreeVar(X18,ve1app)
| ~ vtcheck(vbind(X18,X19,X20),ve1app,X21)
| vtcheck(X20,ve1app,X21) ),
inference(variable_rename,[status(thm)],[315]) ).
cnf(317,plain,
( vtcheck(X1,ve1app,X2)
| visFreeVar(X3,ve1app)
| ~ vtcheck(vbind(X3,X4,X1),ve1app,X2) ),
inference(split_conjunct,[status(thm)],[316]) ).
fof(321,plain,
! [X1,X3,X16,X17] :
( visFreeVar(X1,ve2app)
| ~ vtcheck(vbind(X1,X3,X16),ve2app,X17)
| vtcheck(X16,ve2app,X17) ),
inference(fof_nnf,[status(thm)],[64]) ).
fof(322,plain,
! [X18,X19,X20,X21] :
( visFreeVar(X18,ve2app)
| ~ vtcheck(vbind(X18,X19,X20),ve2app,X21)
| vtcheck(X20,ve2app,X21) ),
inference(variable_rename,[status(thm)],[321]) ).
cnf(323,plain,
( vtcheck(X1,ve2app,X2)
| visFreeVar(X3,ve2app)
| ~ vtcheck(vbind(X3,X4,X1),ve2app,X2) ),
inference(split_conjunct,[status(thm)],[322]) ).
cnf(457,plain,
( visFreeVar(X1,X2)
| vapp(X3,X4) != X2
| ~ visFreeVar(X1,X4) ),
inference(er,[status(thm)],[100,theory(equality)]) ).
cnf(458,plain,
( visFreeVar(X1,X2)
| vapp(X3,X4) != X2
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[101,theory(equality)]) ).
cnf(1058,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)],[184,302,theory(equality)]) ).
cnf(1092,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)],[184,304,theory(equality)]) ).
cnf(1231,negated_conjecture,
( vabs(esk20_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0)),esk22_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0)),esk21_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0))) = vapp(ve1app,ve2app)
| vvar(esk19_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0))) = vapp(ve1app,ve2app)
| vtcheck(vbind(esk27_0,esk28_0,esk29_0),esk24_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0)),varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0)),esk30_0)) ),
inference(spm,[status(thm)],[303,313,theory(equality)]) ).
cnf(1237,negated_conjecture,
( vvar(esk19_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0))) = vapp(ve1app,ve2app)
| vtcheck(vbind(esk27_0,esk28_0,esk29_0),esk24_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0)),varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0)),esk30_0)) ),
inference(sr,[status(thm)],[1231,184,theory(equality)]) ).
cnf(1238,negated_conjecture,
vtcheck(vbind(esk27_0,esk28_0,esk29_0),esk24_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0)),varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0)),esk30_0)),
inference(sr,[status(thm)],[1237,189,theory(equality)]) ).
cnf(1653,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[457,theory(equality)]) ).
cnf(1696,negated_conjecture,
~ visFreeVar(esk27_0,ve2app),
inference(spm,[status(thm)],[314,1653,theory(equality)]) ).
cnf(1719,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X2) ),
inference(er,[status(thm)],[458,theory(equality)]) ).
cnf(1809,negated_conjecture,
~ visFreeVar(esk27_0,ve1app),
inference(spm,[status(thm)],[314,1719,theory(equality)]) ).
cnf(411237,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)],[1058,theory(equality)]) ).
cnf(411293,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)],[411237,189,theory(equality)]) ).
cnf(518602,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)],[1092,theory(equality)]) ).
cnf(518660,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)],[518602,189,theory(equality)]) ).
cnf(682632,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)],[82,518660,theory(equality)]) ).
cnf(682634,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)],[83,518660,theory(equality)]) ).
cnf(683390,plain,
( esk25_3(vapp(X1,X2),X3,X4) = X2
| ~ vtcheck(X4,vapp(X1,X2),X3) ),
inference(er,[status(thm)],[682632,theory(equality)]) ).
cnf(683579,plain,
( vtcheck(X1,X3,esk26_3(vapp(X2,X3),X4,X1))
| ~ vtcheck(X1,vapp(X2,X3),X4) ),
inference(spm,[status(thm)],[411293,683390,theory(equality)]) ).
cnf(683788,plain,
( vtcheck(X1,ve2app,esk26_3(vapp(X2,ve2app),X3,vbind(X4,X5,X1)))
| visFreeVar(X4,ve2app)
| ~ vtcheck(vbind(X4,X5,X1),vapp(X2,ve2app),X3) ),
inference(spm,[status(thm)],[323,683579,theory(equality)]) ).
cnf(686891,plain,
( esk24_3(vapp(X1,X2),X3,X4) = X1
| ~ vtcheck(X4,vapp(X1,X2),X3) ),
inference(er,[status(thm)],[682634,theory(equality)]) ).
cnf(687030,negated_conjecture,
( vtcheck(vbind(esk27_0,esk28_0,esk29_0),ve1app,varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0)),esk30_0))
| ~ vtcheck(vbind(esk27_0,esk28_0,esk29_0),vapp(ve1app,ve2app),esk30_0) ),
inference(spm,[status(thm)],[1238,686891,theory(equality)]) ).
cnf(687120,negated_conjecture,
( vtcheck(vbind(esk27_0,esk28_0,esk29_0),ve1app,varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0)),esk30_0))
| $false ),
inference(rw,[status(thm)],[687030,313,theory(equality)]) ).
cnf(687121,negated_conjecture,
vtcheck(vbind(esk27_0,esk28_0,esk29_0),ve1app,varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0)),esk30_0)),
inference(cn,[status(thm)],[687120,theory(equality)]) ).
cnf(687930,negated_conjecture,
( vtcheck(esk29_0,ve1app,varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0)),esk30_0))
| visFreeVar(esk27_0,ve1app) ),
inference(spm,[status(thm)],[317,687121,theory(equality)]) ).
cnf(688017,negated_conjecture,
vtcheck(esk29_0,ve1app,varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0)),esk30_0)),
inference(sr,[status(thm)],[687930,1809,theory(equality)]) ).
cnf(688125,negated_conjecture,
( vtcheck(esk29_0,vapp(ve1app,X1),esk30_0)
| ~ vtcheck(esk29_0,X1,esk26_3(vapp(ve1app,ve2app),esk30_0,vbind(esk27_0,esk28_0,esk29_0))) ),
inference(spm,[status(thm)],[267,688017,theory(equality)]) ).
cnf(699845,negated_conjecture,
( vtcheck(esk29_0,vapp(ve1app,ve2app),esk30_0)
| visFreeVar(esk27_0,ve2app)
| ~ vtcheck(vbind(esk27_0,esk28_0,esk29_0),vapp(ve1app,ve2app),esk30_0) ),
inference(spm,[status(thm)],[688125,683788,theory(equality)]) ).
cnf(699849,negated_conjecture,
( vtcheck(esk29_0,vapp(ve1app,ve2app),esk30_0)
| visFreeVar(esk27_0,ve2app)
| $false ),
inference(rw,[status(thm)],[699845,313,theory(equality)]) ).
cnf(699850,negated_conjecture,
( vtcheck(esk29_0,vapp(ve1app,ve2app),esk30_0)
| visFreeVar(esk27_0,ve2app) ),
inference(cn,[status(thm)],[699849,theory(equality)]) ).
cnf(699851,negated_conjecture,
visFreeVar(esk27_0,ve2app),
inference(sr,[status(thm)],[699850,312,theory(equality)]) ).
cnf(699852,negated_conjecture,
$false,
inference(sr,[status(thm)],[699851,1696,theory(equality)]) ).
cnf(699853,negated_conjecture,
$false,
699852,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM137+1 : TPTP v6.4.0. Released v6.4.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.22 % Computer : n015.star.cs.uiowa.edu
% 0.03/0.22 % Model : x86_64 x86_64
% 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22 % Memory : 16091.75MB
% 0.03/0.22 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.22 % CPULimit : 300
% 0.03/0.22 % DateTime : Fri Mar 25 12:07:43 CDT 2016
% 0.03/0.22 % CPUTime :
% 0.05/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.05/0.27 --creating new selector for [COM001+0.ax]
% 29.11/29.47 eprover: CPU time limit exceeded, terminating
% 109.23/111.47 eprover: CPU time limit exceeded, terminating
% 109.43/112.61 -running prover on /export/starexec/sandbox2/tmp/tmpljjlfn/sel_theBenchmark.p_1 with time limit 29
% 109.43/112.61 -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/tmpljjlfn/sel_theBenchmark.p_1']
% 109.43/112.61 -prover status ResourceOut
% 109.43/112.61 -running prover on /export/starexec/sandbox2/tmp/tmpljjlfn/sel_theBenchmark.p_2 with time limit 80
% 109.43/112.61 -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=80', '/export/starexec/sandbox2/tmp/tmpljjlfn/sel_theBenchmark.p_2']
% 109.43/112.61 -prover status ResourceOut
% 109.43/112.61 --creating new selector for [COM001+0.ax]
% 184.47/187.91 eprover: CPU time limit exceeded, terminating
% 184.55/189.06 -running prover on /export/starexec/sandbox2/tmp/tmpljjlfn/sel_theBenchmark.p_3 with time limit 75
% 184.55/189.06 -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=75', '/export/starexec/sandbox2/tmp/tmpljjlfn/sel_theBenchmark.p_3']
% 184.55/189.06 -prover status ResourceOut
% 184.55/189.06 --creating new selector for [COM001+0.ax]
% 204.76/209.30 -running prover on /export/starexec/sandbox2/tmp/tmpljjlfn/sel_theBenchmark.p_4 with time limit 55
% 204.76/209.30 -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=55', '/export/starexec/sandbox2/tmp/tmpljjlfn/sel_theBenchmark.p_4']
% 204.76/209.30 -prover status Theorem
% 204.76/209.30 Problem theBenchmark.p solved in phase 3.
% 204.76/209.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 204.76/209.30 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 204.76/209.30 Solved 1 out of 1.
% 204.76/209.30 # Problem is unsatisfiable (or provable), constructing proof object
% 204.76/209.30 # SZS status Theorem
% 204.76/209.30 # SZS output start CNFRefutation.
% See solution above
% 204.76/209.32 # SZS output end CNFRefutation
%------------------------------------------------------------------------------