TSTP Solution File: COM143+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : COM143+1 : TPTP v6.4.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n012.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 16.25s
% Output : CNFRefutation 16.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 85 ( 22 unt; 0 def)
% Number of atoms : 322 ( 100 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 360 ( 123 ~; 171 |; 50 &)
% ( 0 <=>; 16 =>; 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 : 22 ( 22 usr; 6 con; 0-3 aty)
% Number of variables : 296 ( 31 sgn 133 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( equal(X2,vvar(X1))
=> ~ visValue(X2) ),
file('/export/starexec/sandbox2/tmp/tmp7PGk7b/sel_theBenchmark.p_4',isValue1) ).
fof(2,axiom,
! [X1,X3,X4,X2] :
( equal(X2,vabs(X1,X3,X4))
=> visValue(X2) ),
file('/export/starexec/sandbox2/tmp/tmp7PGk7b/sel_theBenchmark.p_4',isValue0) ).
fof(12,axiom,
! [X10,X2,X7] : ~ equal(vvar(X10),vapp(X2,X7)),
file('/export/starexec/sandbox2/tmp/tmp7PGk7b/sel_theBenchmark.p_4','DIFF-var-app') ).
fof(13,axiom,
! [X18] : ~ equal(vnoType,vsomeType(X18)),
file('/export/starexec/sandbox2/tmp/tmp7PGk7b/sel_theBenchmark.p_4','DIFF-noType-someType') ).
fof(15,axiom,
! [X10,X11,X18,X2] : ~ equal(vvar(X10),vabs(X11,X18,X2)),
file('/export/starexec/sandbox2/tmp/tmp7PGk7b/sel_theBenchmark.p_4','DIFF-var-abs') ).
fof(18,axiom,
! [X14,X13,X10,X22,X23,X1,X16] :
( ( equal(X10,X1)
& equal(X22,vbind(X13,X14,X16)) )
=> ( ~ equal(X1,X13)
=> ( equal(X23,vlookup(X10,X22))
=> equal(X23,vlookup(X1,X16)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp7PGk7b/sel_theBenchmark.p_4',lookup2) ).
fof(34,axiom,
! [X4,X1,X10,X2,X7,X23,X13] :
( ( equal(X10,X1)
& equal(X2,X4)
& equal(X7,vvar(X13)) )
=> ( ~ equal(X1,X13)
=> ( equal(X23,vsubst(X10,X2,X7))
=> equal(X23,vvar(X13)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp7PGk7b/sel_theBenchmark.p_4',subst1) ).
fof(35,axiom,
! [X1,X13,X10,X2,X7,X23,X4] :
( ( equal(X10,X1)
& equal(X2,X4)
& equal(X7,vvar(X13)) )
=> ( equal(X1,X13)
=> ( equal(X23,vsubst(X10,X2,X7))
=> equal(X23,X4) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp7PGk7b/sel_theBenchmark.p_4',subst0) ).
fof(42,axiom,
! [X16,X1,X17] :
( equal(vlookup(X1,X16),vsomeType(X17))
=> vtcheck(X16,vvar(X1),X17) ),
file('/export/starexec/sandbox2/tmp/tmp7PGk7b/sel_theBenchmark.p_4','T-var') ).
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/tmp7PGk7b/sel_theBenchmark.p_4','T-inv') ).
fof(49,conjecture,
! [X1,X3,X16,X13,X17] :
( ( equal(vlookup(X1,X16),vnoType)
& vtcheck(X16,vvar(X13),X17) )
=> vtcheck(vbind(X1,X3,X16),vvar(X13),X17) ),
file('/export/starexec/sandbox2/tmp/tmp7PGk7b/sel_theBenchmark.p_4','T-Weak-var') ).
fof(50,negated_conjecture,
~ ! [X1,X3,X16,X13,X17] :
( ( equal(vlookup(X1,X16),vnoType)
& vtcheck(X16,vvar(X13),X17) )
=> vtcheck(vbind(X1,X3,X16),vvar(X13),X17) ),
inference(assume_negation,[status(cth)],[49]) ).
fof(51,plain,
! [X1,X2] :
( equal(X2,vvar(X1))
=> ~ visValue(X2) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(63,plain,
! [X1,X2] :
( ~ equal(X2,vvar(X1))
| ~ visValue(X2) ),
inference(fof_nnf,[status(thm)],[51]) ).
fof(64,plain,
! [X3,X4] :
( ~ equal(X4,vvar(X3))
| ~ visValue(X4) ),
inference(variable_rename,[status(thm)],[63]) ).
cnf(65,plain,
( ~ visValue(X1)
| X1 != vvar(X2) ),
inference(split_conjunct,[status(thm)],[64]) ).
fof(66,plain,
! [X1,X3,X4,X2] :
( ~ equal(X2,vabs(X1,X3,X4))
| visValue(X2) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(67,plain,
! [X5,X6,X7,X8] :
( ~ equal(X8,vabs(X5,X6,X7))
| visValue(X8) ),
inference(variable_rename,[status(thm)],[66]) ).
cnf(68,plain,
( visValue(X1)
| X1 != vabs(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[67]) ).
fof(105,plain,
! [X11,X12,X13] : ~ equal(vvar(X11),vapp(X12,X13)),
inference(variable_rename,[status(thm)],[12]) ).
cnf(106,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[105]) ).
fof(107,plain,
! [X19] : ~ equal(vnoType,vsomeType(X19)),
inference(variable_rename,[status(thm)],[13]) ).
cnf(108,plain,
vnoType != vsomeType(X1),
inference(split_conjunct,[status(thm)],[107]) ).
fof(115,plain,
! [X19,X20,X21,X22] : ~ equal(vvar(X19),vabs(X20,X21,X22)),
inference(variable_rename,[status(thm)],[15]) ).
cnf(116,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[115]) ).
fof(123,plain,
! [X14,X13,X10,X22,X23,X1,X16] :
( ~ equal(X10,X1)
| ~ equal(X22,vbind(X13,X14,X16))
| equal(X1,X13)
| ~ equal(X23,vlookup(X10,X22))
| equal(X23,vlookup(X1,X16)) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(124,plain,
! [X24,X25,X26,X27,X28,X29,X30] :
( ~ equal(X26,X29)
| ~ equal(X27,vbind(X25,X24,X30))
| equal(X29,X25)
| ~ equal(X28,vlookup(X26,X27))
| equal(X28,vlookup(X29,X30)) ),
inference(variable_rename,[status(thm)],[123]) ).
cnf(125,plain,
( X1 = vlookup(X2,X3)
| X2 = X6
| X1 != vlookup(X4,X5)
| X5 != vbind(X6,X7,X3)
| X4 != X2 ),
inference(split_conjunct,[status(thm)],[124]) ).
fof(184,plain,
! [X4,X1,X10,X2,X7,X23,X13] :
( ~ equal(X10,X1)
| ~ equal(X2,X4)
| ~ equal(X7,vvar(X13))
| equal(X1,X13)
| ~ equal(X23,vsubst(X10,X2,X7))
| equal(X23,vvar(X13)) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(185,plain,
! [X24,X25,X26,X27,X28,X29,X30] :
( ~ equal(X26,X25)
| ~ equal(X27,X24)
| ~ equal(X28,vvar(X30))
| equal(X25,X30)
| ~ equal(X29,vsubst(X26,X27,X28))
| equal(X29,vvar(X30)) ),
inference(variable_rename,[status(thm)],[184]) ).
cnf(186,plain,
( X1 = vvar(X2)
| X6 = X2
| X1 != vsubst(X3,X4,X5)
| X5 != vvar(X2)
| X4 != X7
| X3 != X6 ),
inference(split_conjunct,[status(thm)],[185]) ).
fof(187,plain,
! [X1,X13,X10,X2,X7,X23,X4] :
( ~ equal(X10,X1)
| ~ equal(X2,X4)
| ~ equal(X7,vvar(X13))
| ~ equal(X1,X13)
| ~ equal(X23,vsubst(X10,X2,X7))
| equal(X23,X4) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(188,plain,
! [X24,X25,X26,X27,X28,X29,X30] :
( ~ equal(X26,X24)
| ~ equal(X27,X30)
| ~ equal(X28,vvar(X25))
| ~ equal(X24,X25)
| ~ equal(X29,vsubst(X26,X27,X28))
| equal(X29,X30) ),
inference(variable_rename,[status(thm)],[187]) ).
cnf(189,plain,
( X1 = X2
| X1 != vsubst(X3,X4,X5)
| X6 != X7
| X5 != vvar(X7)
| X4 != X2
| X3 != X6 ),
inference(split_conjunct,[status(thm)],[188]) ).
fof(256,plain,
! [X16,X1,X17] :
( ~ equal(vlookup(X1,X16),vsomeType(X17))
| vtcheck(X16,vvar(X1),X17) ),
inference(fof_nnf,[status(thm)],[42]) ).
fof(257,plain,
! [X18,X19,X20] :
( ~ equal(vlookup(X19,X18),vsomeType(X20))
| vtcheck(X18,vvar(X19),X20) ),
inference(variable_rename,[status(thm)],[256]) ).
cnf(258,plain,
( vtcheck(X1,vvar(X2),X3)
| vlookup(X2,X1) != vsomeType(X3) ),
inference(split_conjunct,[status(thm)],[257]) ).
fof(277,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(278,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)],[277]) ).
fof(279,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)],[278]) ).
fof(280,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)],[279]) ).
cnf(289,plain,
( vlookup(esk19_3(X2,X3,X1),X1) = vsomeType(X3)
| 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)],[280]) ).
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))
| X2 = vapp(esk24_3(X2,X3,X1),esk25_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[280]) ).
fof(303,negated_conjecture,
? [X1,X3,X16,X13,X17] :
( equal(vlookup(X1,X16),vnoType)
& vtcheck(X16,vvar(X13),X17)
& ~ vtcheck(vbind(X1,X3,X16),vvar(X13),X17) ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(304,negated_conjecture,
? [X18,X19,X20,X21,X22] :
( equal(vlookup(X18,X20),vnoType)
& vtcheck(X20,vvar(X21),X22)
& ~ vtcheck(vbind(X18,X19,X20),vvar(X21),X22) ),
inference(variable_rename,[status(thm)],[303]) ).
fof(305,negated_conjecture,
( equal(vlookup(esk27_0,esk29_0),vnoType)
& vtcheck(esk29_0,vvar(esk30_0),esk31_0)
& ~ vtcheck(vbind(esk27_0,esk28_0,esk29_0),vvar(esk30_0),esk31_0) ),
inference(skolemize,[status(esa)],[304]) ).
cnf(306,negated_conjecture,
~ vtcheck(vbind(esk27_0,esk28_0,esk29_0),vvar(esk30_0),esk31_0),
inference(split_conjunct,[status(thm)],[305]) ).
cnf(307,negated_conjecture,
vtcheck(esk29_0,vvar(esk30_0),esk31_0),
inference(split_conjunct,[status(thm)],[305]) ).
cnf(308,negated_conjecture,
vlookup(esk27_0,esk29_0) = vnoType,
inference(split_conjunct,[status(thm)],[305]) ).
cnf(427,plain,
~ visValue(vvar(X1)),
inference(er,[status(thm)],[65,theory(equality)]) ).
cnf(433,plain,
visValue(vabs(X1,X2,X3)),
inference(er,[status(thm)],[68,theory(equality)]) ).
cnf(437,negated_conjecture,
vlookup(esk30_0,vbind(esk27_0,esk28_0,esk29_0)) != vsomeType(esk31_0),
inference(spm,[status(thm)],[306,258,theory(equality)]) ).
cnf(453,plain,
( vlookup(X1,X2) = X3
| X1 = X4
| vbind(X4,X5,X2) != X6
| vlookup(X1,X6) != X3 ),
inference(er,[status(thm)],[125,theory(equality)]) ).
cnf(458,plain,
( X1 = X2
| vsubst(X3,X4,X5) != X1
| vvar(X6) != X5
| X3 != X6
| X2 != X4 ),
inference(er,[status(thm)],[189,theory(equality)]) ).
cnf(459,plain,
( X1 = X2
| vsubst(X3,X4,X5) != X1
| vvar(X3) != X5
| X2 != X4 ),
inference(er,[status(thm)],[458,theory(equality)]) ).
cnf(460,plain,
( X1 = X2
| vsubst(X3,X2,X4) != X1
| vvar(X3) != X4 ),
inference(er,[status(thm)],[459,theory(equality)]) ).
cnf(463,plain,
( vvar(X1) = X2
| X1 = X3
| vsubst(X4,X5,X6) != X2
| vvar(X1) != X6
| X4 != X3 ),
inference(er,[status(thm)],[186,theory(equality)]) ).
cnf(464,plain,
( vvar(X1) = X2
| X1 = X3
| vsubst(X3,X4,X5) != X2
| vvar(X1) != X5 ),
inference(er,[status(thm)],[463,theory(equality)]) ).
cnf(1049,plain,
( vapp(esk24_3(X1,X2,X3),esk25_3(X1,X2,X3)) = X1
| vvar(esk19_3(X1,X2,X3)) = X1
| X1 != vvar(X4)
| ~ vtcheck(X3,X1,X2) ),
inference(spm,[status(thm)],[116,298,theory(equality)]) ).
cnf(1176,plain,
( vapp(esk24_3(X1,X2,X3),esk25_3(X1,X2,X3)) = X1
| vlookup(esk19_3(X1,X2,X3),X3) = vsomeType(X2)
| X1 != vvar(X4)
| ~ vtcheck(X3,X1,X2) ),
inference(spm,[status(thm)],[116,289,theory(equality)]) ).
cnf(1605,plain,
( vsubst(X1,X2,X3) = X2
| vvar(X1) != X3 ),
inference(er,[status(thm)],[460,theory(equality)]) ).
cnf(1854,plain,
( vlookup(X1,X2) = X3
| X1 = X4
| vlookup(X1,vbind(X4,X5,X2)) != X3 ),
inference(er,[status(thm)],[453,theory(equality)]) ).
cnf(1898,plain,
( vlookup(X1,X2) = vlookup(X1,vbind(X3,X4,X2))
| X1 = X3 ),
inference(er,[status(thm)],[1854,theory(equality)]) ).
cnf(1921,negated_conjecture,
( esk30_0 = esk27_0
| vlookup(esk30_0,esk29_0) != vsomeType(esk31_0) ),
inference(spm,[status(thm)],[437,1898,theory(equality)]) ).
cnf(2132,plain,
( vvar(X1) = vsubst(X2,X3,X4)
| X1 = X2
| vvar(X1) != X4 ),
inference(er,[status(thm)],[464,theory(equality)]) ).
cnf(2137,plain,
( vvar(X1) = vsubst(X2,X3,vvar(X1))
| X1 = X2 ),
inference(er,[status(thm)],[2132,theory(equality)]) ).
cnf(4153,plain,
( vapp(esk24_3(vvar(X1),X2,X3),esk25_3(vvar(X1),X2,X3)) = vvar(X1)
| vvar(esk19_3(vvar(X1),X2,X3)) = vvar(X1)
| ~ vtcheck(X3,vvar(X1),X2) ),
inference(er,[status(thm)],[1049,theory(equality)]) ).
cnf(4155,plain,
( vvar(esk19_3(vvar(X1),X2,X3)) = vvar(X1)
| ~ vtcheck(X3,vvar(X1),X2) ),
inference(sr,[status(thm)],[4153,106,theory(equality)]) ).
cnf(4171,plain,
( vsubst(X1,X2,vvar(X3)) = vvar(X3)
| esk19_3(vvar(X3),X4,X5) = X1
| ~ vtcheck(X5,vvar(X3),X4) ),
inference(spm,[status(thm)],[2137,4155,theory(equality)]) ).
cnf(4301,negated_conjecture,
( vsubst(X1,X2,vvar(esk30_0)) = vvar(esk30_0)
| esk19_3(vvar(esk30_0),esk31_0,esk29_0) = X1 ),
inference(spm,[status(thm)],[4171,307,theory(equality)]) ).
cnf(4334,negated_conjecture,
( vvar(esk30_0) = X2
| esk19_3(vvar(esk30_0),esk31_0,esk29_0) = X1
| vvar(X1) != vvar(esk30_0) ),
inference(spm,[status(thm)],[1605,4301,theory(equality)]) ).
cnf(4373,negated_conjecture,
( esk19_3(vvar(esk30_0),esk31_0,esk29_0) = esk30_0
| vvar(esk30_0) = X1 ),
inference(er,[status(thm)],[4334,theory(equality)]) ).
cnf(4379,negated_conjecture,
( visValue(vvar(esk30_0))
| esk19_3(vvar(esk30_0),esk31_0,esk29_0) = esk30_0 ),
inference(spm,[status(thm)],[433,4373,theory(equality)]) ).
cnf(5281,negated_conjecture,
esk19_3(vvar(esk30_0),esk31_0,esk29_0) = esk30_0,
inference(sr,[status(thm)],[4379,427,theory(equality)]) ).
cnf(538389,plain,
( vapp(esk24_3(vvar(X1),X2,X3),esk25_3(vvar(X1),X2,X3)) = vvar(X1)
| vlookup(esk19_3(vvar(X1),X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,vvar(X1),X2) ),
inference(er,[status(thm)],[1176,theory(equality)]) ).
cnf(538462,plain,
( vlookup(esk19_3(vvar(X1),X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,vvar(X1),X2) ),
inference(sr,[status(thm)],[538389,106,theory(equality)]) ).
cnf(538518,negated_conjecture,
( vlookup(esk30_0,esk29_0) = vsomeType(esk31_0)
| ~ vtcheck(esk29_0,vvar(esk30_0),esk31_0) ),
inference(spm,[status(thm)],[538462,5281,theory(equality)]) ).
cnf(538730,negated_conjecture,
( vlookup(esk30_0,esk29_0) = vsomeType(esk31_0)
| $false ),
inference(rw,[status(thm)],[538518,307,theory(equality)]) ).
cnf(538731,negated_conjecture,
vlookup(esk30_0,esk29_0) = vsomeType(esk31_0),
inference(cn,[status(thm)],[538730,theory(equality)]) ).
cnf(538775,negated_conjecture,
vlookup(esk30_0,esk29_0) != vnoType,
inference(spm,[status(thm)],[108,538731,theory(equality)]) ).
cnf(538832,negated_conjecture,
( esk27_0 = esk30_0
| $false ),
inference(rw,[status(thm)],[1921,538731,theory(equality)]) ).
cnf(538833,negated_conjecture,
esk27_0 = esk30_0,
inference(cn,[status(thm)],[538832,theory(equality)]) ).
cnf(538834,negated_conjecture,
vlookup(esk30_0,esk29_0) = vnoType,
inference(rw,[status(thm)],[308,538833,theory(equality)]) ).
cnf(538969,negated_conjecture,
$false,
inference(sr,[status(thm)],[538834,538775,theory(equality)]) ).
cnf(538970,negated_conjecture,
$false,
538969,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.03 % Problem : COM143+1 : TPTP v6.4.0. Released v6.4.0.
% 0.01/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n012.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 12:19:43 CDT 2016
% 0.02/0.23 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for [COM001+0.ax]
% 0.06/0.41 -running prover on /export/starexec/sandbox2/tmp/tmp7PGk7b/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/tmp7PGk7b/sel_theBenchmark.p_1']
% 0.06/0.41 -prover status CounterSatisfiable
% 0.06/0.41 -running prover on /export/starexec/sandbox2/tmp/tmp7PGk7b/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/tmp7PGk7b/sel_theBenchmark.p_2']
% 0.06/0.41 -prover status CounterSatisfiable
% 0.06/0.41 --creating new selector for [COM001+0.ax]
% 0.06/0.48 -running prover on /export/starexec/sandbox2/tmp/tmp7PGk7b/sel_theBenchmark.p_3 with time limit 119
% 0.06/0.48 -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/tmp7PGk7b/sel_theBenchmark.p_3']
% 0.06/0.48 -prover status CounterSatisfiable
% 0.06/0.48 --creating new selector for [COM001+0.ax]
% 16.25/16.55 -running prover on /export/starexec/sandbox2/tmp/tmp7PGk7b/sel_theBenchmark.p_4 with time limit 149
% 16.25/16.55 -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/tmp7PGk7b/sel_theBenchmark.p_4']
% 16.25/16.55 -prover status Theorem
% 16.25/16.55 Problem theBenchmark.p solved in phase 3.
% 16.25/16.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.25/16.55 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.25/16.55 Solved 1 out of 1.
% 16.25/16.55 # Problem is unsatisfiable (or provable), constructing proof object
% 16.25/16.55 # SZS status Theorem
% 16.25/16.55 # SZS output start CNFRefutation.
% See solution above
% 16.25/16.57 # SZS output end CNFRefutation
%------------------------------------------------------------------------------