TSTP Solution File: COM126+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : COM126+1 : TPTP v6.4.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n029.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 10:03:41 EDT 2016
% Result : Theorem 227.72s
% Output : CNFRefutation 227.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 82 ( 16 unt; 0 def)
% Number of atoms : 345 ( 37 equ)
% Maximal formula atoms : 72 ( 4 avg)
% Number of connectives : 389 ( 126 ~; 181 |; 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 : 289 ( 31 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/tmpR74Aq7/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/tmpR74Aq7/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/tmpR74Aq7/sel_theBenchmark.p_4','DIFF-abs-app') ).
fof(33,axiom,
! [X10,X2,X7] : ~ equal(vvar(X10),vapp(X2,X7)),
file('/export/starexec/sandbox2/tmp/tmpR74Aq7/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/tmpR74Aq7/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/tmpR74Aq7/sel_theBenchmark.p_4','T-inv') ).
fof(50,axiom,
! [X1,X3,X16,X17] :
( ( ~ visFreeVar(X1,ve1app)
& vtcheck(X16,ve1app,X17) )
=> vtcheck(vbind(X1,X3,X16),ve1app,X17) ),
file('/export/starexec/sandbox2/tmp/tmpR74Aq7/sel_theBenchmark.p_4','T-Weak-FreeVar-app-IH1') ).
fof(51,conjecture,
! [X1,X3,X16,X17] :
( ( ~ visFreeVar(X1,vapp(ve1app,ve2app))
& vtcheck(X16,vapp(ve1app,ve2app),X17) )
=> vtcheck(vbind(X1,X3,X16),vapp(ve1app,ve2app),X17) ),
file('/export/starexec/sandbox2/tmp/tmpR74Aq7/sel_theBenchmark.p_4','T-Weak-FreeVar-app') ).
fof(53,axiom,
! [X1,X3,X16,X17] :
( ( ~ visFreeVar(X1,ve2app)
& vtcheck(X16,ve2app,X17) )
=> vtcheck(vbind(X1,X3,X16),ve2app,X17) ),
file('/export/starexec/sandbox2/tmp/tmpR74Aq7/sel_theBenchmark.p_4','T-Weak-FreeVar-app-IH2') ).
fof(54,negated_conjecture,
~ ! [X1,X3,X16,X17] :
( ( ~ visFreeVar(X1,vapp(ve1app,ve2app))
& vtcheck(X16,vapp(ve1app,ve2app),X17) )
=> vtcheck(vbind(X1,X3,X16),vapp(ve1app,ve2app),X17) ),
inference(assume_negation,[status(cth)],[51]) ).
fof(64,plain,
! [X1,X3,X16,X17] :
( ( ~ visFreeVar(X1,ve1app)
& vtcheck(X16,ve1app,X17) )
=> vtcheck(vbind(X1,X3,X16),ve1app,X17) ),
inference(fof_simplification,[status(thm)],[50,theory(equality)]) ).
fof(65,negated_conjecture,
~ ! [X1,X3,X16,X17] :
( ( ~ visFreeVar(X1,vapp(ve1app,ve2app))
& vtcheck(X16,vapp(ve1app,ve2app),X17) )
=> vtcheck(vbind(X1,X3,X16),vapp(ve1app,ve2app),X17) ),
inference(fof_simplification,[status(thm)],[54,theory(equality)]) ).
fof(66,plain,
! [X1,X3,X16,X17] :
( ( ~ visFreeVar(X1,ve2app)
& vtcheck(X16,ve2app,X17) )
=> vtcheck(vbind(X1,X3,X16),ve2app,X17) ),
inference(fof_simplification,[status(thm)],[53,theory(equality)]) ).
fof(80,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(81,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)],[80]) ).
fof(82,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)],[81]) ).
cnf(84,plain,
( X2 = X4
| vapp(X1,X2) != vapp(X3,X4) ),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(85,plain,
( X1 = X3
| vapp(X1,X2) != vapp(X3,X4) ),
inference(split_conjunct,[status(thm)],[82]) ).
fof(98,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(99,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)],[98]) ).
fof(100,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)],[99]) ).
cnf(102,plain,
( visFreeVar(X4,X1)
| X1 != vapp(X2,X3)
| X4 != X5
| ~ visFreeVar(X5,X3) ),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(103,plain,
( visFreeVar(X4,X1)
| X1 != vapp(X2,X3)
| X4 != X5
| ~ visFreeVar(X5,X2) ),
inference(split_conjunct,[status(thm)],[100]) ).
fof(185,plain,
! [X19,X20,X21,X22,X23] : ~ equal(vabs(X19,X20,X21),vapp(X22,X23)),
inference(variable_rename,[status(thm)],[31]) ).
cnf(186,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[185]) ).
fof(190,plain,
! [X11,X12,X13] : ~ equal(vvar(X11),vapp(X12,X13)),
inference(variable_rename,[status(thm)],[33]) ).
cnf(191,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[190]) ).
fof(267,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(268,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)],[267]) ).
cnf(269,plain,
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X3,X5)
| ~ vtcheck(X1,X2,varrow(X5,X4)) ),
inference(split_conjunct,[status(thm)],[268]) ).
fof(285,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(286,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)],[285]) ).
fof(287,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)],[286]) ).
fof(288,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)],[287]) ).
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))
| vtcheck(X1,esk25_3(X2,X3,X1),esk26_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[288]) ).
cnf(305,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)],[288]) ).
cnf(306,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)],[288]) ).
fof(314,plain,
! [X1,X3,X16,X17] :
( visFreeVar(X1,ve1app)
| ~ vtcheck(X16,ve1app,X17)
| vtcheck(vbind(X1,X3,X16),ve1app,X17) ),
inference(fof_nnf,[status(thm)],[64]) ).
fof(315,plain,
! [X18,X19,X20,X21] :
( visFreeVar(X18,ve1app)
| ~ vtcheck(X20,ve1app,X21)
| vtcheck(vbind(X18,X19,X20),ve1app,X21) ),
inference(variable_rename,[status(thm)],[314]) ).
cnf(316,plain,
( vtcheck(vbind(X1,X2,X3),ve1app,X4)
| visFreeVar(X1,ve1app)
| ~ vtcheck(X3,ve1app,X4) ),
inference(split_conjunct,[status(thm)],[315]) ).
fof(317,negated_conjecture,
? [X1,X3,X16,X17] :
( ~ visFreeVar(X1,vapp(ve1app,ve2app))
& vtcheck(X16,vapp(ve1app,ve2app),X17)
& ~ vtcheck(vbind(X1,X3,X16),vapp(ve1app,ve2app),X17) ),
inference(fof_nnf,[status(thm)],[65]) ).
fof(318,negated_conjecture,
? [X18,X19,X20,X21] :
( ~ visFreeVar(X18,vapp(ve1app,ve2app))
& vtcheck(X20,vapp(ve1app,ve2app),X21)
& ~ vtcheck(vbind(X18,X19,X20),vapp(ve1app,ve2app),X21) ),
inference(variable_rename,[status(thm)],[317]) ).
fof(319,negated_conjecture,
( ~ visFreeVar(esk27_0,vapp(ve1app,ve2app))
& 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)],[318]) ).
cnf(320,negated_conjecture,
~ vtcheck(vbind(esk27_0,esk28_0,esk29_0),vapp(ve1app,ve2app),esk30_0),
inference(split_conjunct,[status(thm)],[319]) ).
cnf(321,negated_conjecture,
vtcheck(esk29_0,vapp(ve1app,ve2app),esk30_0),
inference(split_conjunct,[status(thm)],[319]) ).
cnf(322,negated_conjecture,
~ visFreeVar(esk27_0,vapp(ve1app,ve2app)),
inference(split_conjunct,[status(thm)],[319]) ).
fof(326,plain,
! [X1,X3,X16,X17] :
( visFreeVar(X1,ve2app)
| ~ vtcheck(X16,ve2app,X17)
| vtcheck(vbind(X1,X3,X16),ve2app,X17) ),
inference(fof_nnf,[status(thm)],[66]) ).
fof(327,plain,
! [X18,X19,X20,X21] :
( visFreeVar(X18,ve2app)
| ~ vtcheck(X20,ve2app,X21)
| vtcheck(vbind(X18,X19,X20),ve2app,X21) ),
inference(variable_rename,[status(thm)],[326]) ).
cnf(328,plain,
( vtcheck(vbind(X1,X2,X3),ve2app,X4)
| visFreeVar(X1,ve2app)
| ~ vtcheck(X3,ve2app,X4) ),
inference(split_conjunct,[status(thm)],[327]) ).
cnf(462,plain,
( visFreeVar(X1,X2)
| vapp(X3,X4) != X2
| ~ visFreeVar(X1,X4) ),
inference(er,[status(thm)],[102,theory(equality)]) ).
cnf(463,plain,
( visFreeVar(X1,X2)
| vapp(X3,X4) != X2
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[103,theory(equality)]) ).
cnf(477,plain,
( vtcheck(vbind(X1,X2,X3),vapp(ve1app,X4),X5)
| visFreeVar(X1,ve1app)
| ~ vtcheck(vbind(X1,X2,X3),X4,X6)
| ~ vtcheck(X3,ve1app,varrow(X6,X5)) ),
inference(spm,[status(thm)],[269,316,theory(equality)]) ).
cnf(1105,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)],[186,304,theory(equality)]) ).
cnf(1224,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)],[186,306,theory(equality)]) ).
cnf(1286,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)],[305,321,theory(equality)]) ).
cnf(1293,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)],[1286,186,theory(equality)]) ).
cnf(1294,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)],[1293,191,theory(equality)]) ).
cnf(1709,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[462,theory(equality)]) ).
cnf(1752,negated_conjecture,
~ visFreeVar(esk27_0,ve2app),
inference(spm,[status(thm)],[322,1709,theory(equality)]) ).
cnf(1775,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X2) ),
inference(er,[status(thm)],[463,theory(equality)]) ).
cnf(1845,negated_conjecture,
~ visFreeVar(esk27_0,ve1app),
inference(spm,[status(thm)],[322,1775,theory(equality)]) ).
cnf(2099,plain,
( vtcheck(vbind(X1,X2,X3),vapp(ve1app,ve2app),X4)
| visFreeVar(X1,ve1app)
| visFreeVar(X1,ve2app)
| ~ vtcheck(X3,ve1app,varrow(X5,X4))
| ~ vtcheck(X3,ve2app,X5) ),
inference(spm,[status(thm)],[477,328,theory(equality)]) ).
cnf(598192,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)],[1105,theory(equality)]) ).
cnf(598252,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)],[598192,191,theory(equality)]) ).
cnf(974951,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)],[1224,theory(equality)]) ).
cnf(975015,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)],[974951,191,theory(equality)]) ).
cnf(1407811,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)],[84,975015,theory(equality)]) ).
cnf(1407813,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)],[85,975015,theory(equality)]) ).
cnf(1408950,plain,
( esk25_3(vapp(X1,X2),X3,X4) = X2
| ~ vtcheck(X4,vapp(X1,X2),X3) ),
inference(er,[status(thm)],[1407811,theory(equality)]) ).
cnf(1409184,plain,
( vtcheck(X1,X3,esk26_3(vapp(X2,X3),X4,X1))
| ~ vtcheck(X1,vapp(X2,X3),X4) ),
inference(spm,[status(thm)],[598252,1408950,theory(equality)]) ).
cnf(1415136,plain,
( esk24_3(vapp(X1,X2),X3,X4) = X1
| ~ vtcheck(X4,vapp(X1,X2),X3) ),
inference(er,[status(thm)],[1407813,theory(equality)]) ).
cnf(1415329,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)],[1294,1415136,theory(equality)]) ).
cnf(1415475,negated_conjecture,
( vtcheck(esk29_0,ve1app,varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,esk29_0),esk30_0))
| $false ),
inference(rw,[status(thm)],[1415329,321,theory(equality)]) ).
cnf(1415476,negated_conjecture,
vtcheck(esk29_0,ve1app,varrow(esk26_3(vapp(ve1app,ve2app),esk30_0,esk29_0),esk30_0)),
inference(cn,[status(thm)],[1415475,theory(equality)]) ).
cnf(1415556,negated_conjecture,
( vtcheck(vbind(X1,X2,esk29_0),vapp(ve1app,ve2app),esk30_0)
| visFreeVar(X1,ve2app)
| visFreeVar(X1,ve1app)
| ~ vtcheck(esk29_0,ve2app,esk26_3(vapp(ve1app,ve2app),esk30_0,esk29_0)) ),
inference(spm,[status(thm)],[2099,1415476,theory(equality)]) ).
cnf(1417767,negated_conjecture,
( vtcheck(vbind(X1,X2,esk29_0),vapp(ve1app,ve2app),esk30_0)
| visFreeVar(X1,ve1app)
| visFreeVar(X1,ve2app)
| ~ vtcheck(esk29_0,vapp(ve1app,ve2app),esk30_0) ),
inference(spm,[status(thm)],[1415556,1409184,theory(equality)]) ).
cnf(1417768,negated_conjecture,
( vtcheck(vbind(X1,X2,esk29_0),vapp(ve1app,ve2app),esk30_0)
| visFreeVar(X1,ve1app)
| visFreeVar(X1,ve2app)
| $false ),
inference(rw,[status(thm)],[1417767,321,theory(equality)]) ).
cnf(1417769,negated_conjecture,
( vtcheck(vbind(X1,X2,esk29_0),vapp(ve1app,ve2app),esk30_0)
| visFreeVar(X1,ve1app)
| visFreeVar(X1,ve2app) ),
inference(cn,[status(thm)],[1417768,theory(equality)]) ).
cnf(1417770,negated_conjecture,
( visFreeVar(esk27_0,ve2app)
| visFreeVar(esk27_0,ve1app) ),
inference(spm,[status(thm)],[320,1417769,theory(equality)]) ).
cnf(1417883,negated_conjecture,
visFreeVar(esk27_0,ve1app),
inference(sr,[status(thm)],[1417770,1752,theory(equality)]) ).
cnf(1417884,negated_conjecture,
$false,
inference(sr,[status(thm)],[1417883,1845,theory(equality)]) ).
cnf(1417885,negated_conjecture,
$false,
1417884,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM126+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 : n029.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 11:43:48 CDT 2016
% 0.02/0.23 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for [COM001+0.ax]
% 29.09/29.43 eprover: CPU time limit exceeded, terminating
% 109.24/113.92 eprover: CPU time limit exceeded, terminating
% 109.41/115.19 -running prover on /export/starexec/sandbox2/tmp/tmpR74Aq7/sel_theBenchmark.p_1 with time limit 29
% 109.41/115.19 -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/tmpR74Aq7/sel_theBenchmark.p_1']
% 109.41/115.19 -prover status ResourceOut
% 109.41/115.19 -running prover on /export/starexec/sandbox2/tmp/tmpR74Aq7/sel_theBenchmark.p_2 with time limit 80
% 109.41/115.19 -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/tmpR74Aq7/sel_theBenchmark.p_2']
% 109.41/115.19 -prover status ResourceOut
% 109.41/115.19 --creating new selector for [COM001+0.ax]
% 183.46/192.56 eprover: CPU time limit exceeded, terminating
% 183.63/193.83 -running prover on /export/starexec/sandbox2/tmp/tmpR74Aq7/sel_theBenchmark.p_3 with time limit 74
% 183.63/193.83 -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=74', '/export/starexec/sandbox2/tmp/tmpR74Aq7/sel_theBenchmark.p_3']
% 183.63/193.83 -prover status ResourceOut
% 183.63/193.83 --creating new selector for [COM001+0.ax]
% 227.72/238.08 -running prover on /export/starexec/sandbox2/tmp/tmpR74Aq7/sel_theBenchmark.p_4 with time limit 53
% 227.72/238.08 -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=53', '/export/starexec/sandbox2/tmp/tmpR74Aq7/sel_theBenchmark.p_4']
% 227.72/238.08 -prover status Theorem
% 227.72/238.08 Problem theBenchmark.p solved in phase 3.
% 227.72/238.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 227.72/238.08 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 227.72/238.08 Solved 1 out of 1.
% 227.72/238.08 # Problem is unsatisfiable (or provable), constructing proof object
% 227.72/238.08 # SZS status Theorem
% 227.72/238.08 # SZS output start CNFRefutation.
% See solution above
% 227.72/238.09 # SZS output end CNFRefutation
%------------------------------------------------------------------------------