TSTP Solution File: COM135+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : COM135+1 : TPTP v6.4.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n007.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 209.58s
% Output : CNFRefutation 209.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 12
% Syntax : Number of formulae : 104 ( 23 unt; 0 def)
% Number of atoms : 392 ( 113 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 446 ( 158 ~; 206 |; 60 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 6 con; 0-3 aty)
% Number of variables : 355 ( 36 sgn 166 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( equal(X2,vvar(X1))
=> ~ visValue(X2) ),
file('/export/starexec/sandbox2/tmp/tmpnpySFi/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/tmpnpySFi/sel_theBenchmark.p_4',isValue0) ).
fof(7,axiom,
! [X10,X2,X1,X12] :
( ( equal(X10,X12)
& equal(X2,vvar(X1)) )
=> ( ( equal(X1,X12)
=> visFreeVar(X10,X2) )
& ( visFreeVar(X10,X2)
=> equal(X1,X12) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpnpySFi/sel_theBenchmark.p_4',isFreeVar0) ).
fof(12,axiom,
! [X10,X2,X7] : ~ equal(vvar(X10),vapp(X2,X7)),
file('/export/starexec/sandbox2/tmp/tmpnpySFi/sel_theBenchmark.p_4','DIFF-var-app') ).
fof(15,axiom,
! [X10,X11,X18,X2] : ~ equal(vvar(X10),vabs(X11,X18,X2)),
file('/export/starexec/sandbox2/tmp/tmpnpySFi/sel_theBenchmark.p_4','DIFF-var-abs') ).
fof(16,axiom,
! [X16,X1,X13,X10,X22,X23,X14] :
( ( equal(X10,X1)
& equal(X22,vbind(X13,X14,X16)) )
=> ( equal(X1,X13)
=> ( equal(X23,vlookup(X10,X22))
=> equal(X23,vsomeType(X14)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpnpySFi/sel_theBenchmark.p_4',lookup1) ).
fof(26,axiom,
! [X18,X19] :
( ( equal(vsomeType(X18),vsomeType(X19))
=> equal(X18,X19) )
& ( equal(X18,X19)
=> equal(vsomeType(X18),vsomeType(X19)) ) ),
file('/export/starexec/sandbox2/tmp/tmpnpySFi/sel_theBenchmark.p_4','EQ-someType') ).
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/tmpnpySFi/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/tmpnpySFi/sel_theBenchmark.p_4',subst0) ).
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/tmpnpySFi/sel_theBenchmark.p_4','T-inv') ).
fof(49,axiom,
! [X1,X3,X16,X4,X17] :
( ( ~ visFreeVar(X1,X4)
& vtcheck(vbind(X1,X3,X16),X4,X17) )
=> vtcheck(X16,X4,X17) ),
file('/export/starexec/sandbox2/tmp/tmpnpySFi/sel_theBenchmark.p_4','T-Strong') ).
fof(50,conjecture,
! [X17,X16,X1,X4,X13,X32] :
( ( vtcheck(X16,X4,X17)
& vtcheck(vbind(X1,X17,X16),vvar(X13),X32) )
=> vtcheck(X16,vsubst(X1,X4,vvar(X13)),X32) ),
file('/export/starexec/sandbox2/tmp/tmpnpySFi/sel_theBenchmark.p_4','T-subst-var') ).
fof(53,negated_conjecture,
~ ! [X17,X16,X1,X4,X13,X32] :
( ( vtcheck(X16,X4,X17)
& vtcheck(vbind(X1,X17,X16),vvar(X13),X32) )
=> vtcheck(X16,vsubst(X1,X4,vvar(X13)),X32) ),
inference(assume_negation,[status(cth)],[50]) ).
fof(54,plain,
! [X1,X2] :
( equal(X2,vvar(X1))
=> ~ visValue(X2) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(62,plain,
! [X1,X3,X16,X4,X17] :
( ( ~ visFreeVar(X1,X4)
& vtcheck(vbind(X1,X3,X16),X4,X17) )
=> vtcheck(X16,X4,X17) ),
inference(fof_simplification,[status(thm)],[49,theory(equality)]) ).
fof(68,plain,
! [X1,X2] :
( ~ equal(X2,vvar(X1))
| ~ visValue(X2) ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(69,plain,
! [X3,X4] :
( ~ equal(X4,vvar(X3))
| ~ visValue(X4) ),
inference(variable_rename,[status(thm)],[68]) ).
cnf(70,plain,
( ~ visValue(X1)
| X1 != vvar(X2) ),
inference(split_conjunct,[status(thm)],[69]) ).
fof(71,plain,
! [X1,X3,X4,X2] :
( ~ equal(X2,vabs(X1,X3,X4))
| visValue(X2) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(72,plain,
! [X5,X6,X7,X8] :
( ~ equal(X8,vabs(X5,X6,X7))
| visValue(X8) ),
inference(variable_rename,[status(thm)],[71]) ).
cnf(73,plain,
( visValue(X1)
| X1 != vabs(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[72]) ).
fof(90,plain,
! [X10,X2,X1,X12] :
( ~ equal(X10,X12)
| ~ equal(X2,vvar(X1))
| ( ( ~ equal(X1,X12)
| visFreeVar(X10,X2) )
& ( ~ visFreeVar(X10,X2)
| equal(X1,X12) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(91,plain,
! [X13,X14,X15,X16] :
( ~ equal(X13,X16)
| ~ equal(X14,vvar(X15))
| ( ( ~ equal(X15,X16)
| visFreeVar(X13,X14) )
& ( ~ visFreeVar(X13,X14)
| equal(X15,X16) ) ) ),
inference(variable_rename,[status(thm)],[90]) ).
fof(92,plain,
! [X13,X14,X15,X16] :
( ( ~ equal(X15,X16)
| visFreeVar(X13,X14)
| ~ equal(X13,X16)
| ~ equal(X14,vvar(X15)) )
& ( ~ visFreeVar(X13,X14)
| equal(X15,X16)
| ~ equal(X13,X16)
| ~ equal(X14,vvar(X15)) ) ),
inference(distribute,[status(thm)],[91]) ).
cnf(93,plain,
( X2 = X4
| X1 != vvar(X2)
| X3 != X4
| ~ visFreeVar(X3,X1) ),
inference(split_conjunct,[status(thm)],[92]) ).
fof(110,plain,
! [X11,X12,X13] : ~ equal(vvar(X11),vapp(X12,X13)),
inference(variable_rename,[status(thm)],[12]) ).
cnf(111,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[110]) ).
fof(120,plain,
! [X19,X20,X21,X22] : ~ equal(vvar(X19),vabs(X20,X21,X22)),
inference(variable_rename,[status(thm)],[15]) ).
cnf(121,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[120]) ).
fof(122,plain,
! [X16,X1,X13,X10,X22,X23,X14] :
( ~ equal(X10,X1)
| ~ equal(X22,vbind(X13,X14,X16))
| ~ equal(X1,X13)
| ~ equal(X23,vlookup(X10,X22))
| equal(X23,vsomeType(X14)) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(123,plain,
! [X24,X25,X26,X27,X28,X29,X30] :
( ~ equal(X27,X25)
| ~ equal(X28,vbind(X26,X30,X24))
| ~ equal(X25,X26)
| ~ equal(X29,vlookup(X27,X28))
| equal(X29,vsomeType(X30)) ),
inference(variable_rename,[status(thm)],[122]) ).
cnf(124,plain,
( X1 = vsomeType(X2)
| X1 != vlookup(X3,X4)
| X5 != X6
| X4 != vbind(X6,X2,X7)
| X3 != X5 ),
inference(split_conjunct,[status(thm)],[123]) ).
fof(154,plain,
! [X18,X19] :
( ( ~ equal(vsomeType(X18),vsomeType(X19))
| equal(X18,X19) )
& ( ~ equal(X18,X19)
| equal(vsomeType(X18),vsomeType(X19)) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(155,plain,
! [X20,X21] :
( ( ~ equal(vsomeType(X20),vsomeType(X21))
| equal(X20,X21) )
& ( ~ equal(X20,X21)
| equal(vsomeType(X20),vsomeType(X21)) ) ),
inference(variable_rename,[status(thm)],[154]) ).
cnf(157,plain,
( X1 = X2
| vsomeType(X1) != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[155]) ).
fof(189,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(190,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)],[189]) ).
cnf(191,plain,
( X1 = vvar(X2)
| X6 = X2
| X1 != vsubst(X3,X4,X5)
| X5 != vvar(X2)
| X4 != X7
| X3 != X6 ),
inference(split_conjunct,[status(thm)],[190]) ).
fof(192,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(193,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)],[192]) ).
cnf(194,plain,
( X1 = X2
| X1 != vsubst(X3,X4,X5)
| X6 != X7
| X5 != vvar(X7)
| X4 != X2
| X3 != X6 ),
inference(split_conjunct,[status(thm)],[193]) ).
fof(282,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(283,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)],[282]) ).
fof(284,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)],[283]) ).
fof(285,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)],[284]) ).
cnf(294,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)],[285]) ).
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))
| X2 = vapp(esk24_3(X2,X3,X1),esk25_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[285]) ).
fof(308,plain,
! [X1,X3,X16,X4,X17] :
( visFreeVar(X1,X4)
| ~ vtcheck(vbind(X1,X3,X16),X4,X17)
| vtcheck(X16,X4,X17) ),
inference(fof_nnf,[status(thm)],[62]) ).
fof(309,plain,
! [X18,X19,X20,X21,X22] :
( visFreeVar(X18,X21)
| ~ vtcheck(vbind(X18,X19,X20),X21,X22)
| vtcheck(X20,X21,X22) ),
inference(variable_rename,[status(thm)],[308]) ).
cnf(310,plain,
( vtcheck(X1,X2,X3)
| visFreeVar(X4,X2)
| ~ vtcheck(vbind(X4,X5,X1),X2,X3) ),
inference(split_conjunct,[status(thm)],[309]) ).
fof(311,negated_conjecture,
? [X17,X16,X1,X4,X13,X32] :
( vtcheck(X16,X4,X17)
& vtcheck(vbind(X1,X17,X16),vvar(X13),X32)
& ~ vtcheck(X16,vsubst(X1,X4,vvar(X13)),X32) ),
inference(fof_nnf,[status(thm)],[53]) ).
fof(312,negated_conjecture,
? [X33,X34,X35,X36,X37,X38] :
( vtcheck(X34,X36,X33)
& vtcheck(vbind(X35,X33,X34),vvar(X37),X38)
& ~ vtcheck(X34,vsubst(X35,X36,vvar(X37)),X38) ),
inference(variable_rename,[status(thm)],[311]) ).
fof(313,negated_conjecture,
( vtcheck(esk28_0,esk30_0,esk27_0)
& vtcheck(vbind(esk29_0,esk27_0,esk28_0),vvar(esk31_0),esk32_0)
& ~ vtcheck(esk28_0,vsubst(esk29_0,esk30_0,vvar(esk31_0)),esk32_0) ),
inference(skolemize,[status(esa)],[312]) ).
cnf(314,negated_conjecture,
~ vtcheck(esk28_0,vsubst(esk29_0,esk30_0,vvar(esk31_0)),esk32_0),
inference(split_conjunct,[status(thm)],[313]) ).
cnf(315,negated_conjecture,
vtcheck(vbind(esk29_0,esk27_0,esk28_0),vvar(esk31_0),esk32_0),
inference(split_conjunct,[status(thm)],[313]) ).
cnf(316,negated_conjecture,
vtcheck(esk28_0,esk30_0,esk27_0),
inference(split_conjunct,[status(thm)],[313]) ).
cnf(441,plain,
~ visValue(vvar(X1)),
inference(er,[status(thm)],[70,theory(equality)]) ).
cnf(447,plain,
visValue(vabs(X1,X2,X3)),
inference(er,[status(thm)],[73,theory(equality)]) ).
cnf(455,plain,
( X1 = X2
| vvar(X1) != X3
| ~ visFreeVar(X2,X3) ),
inference(er,[status(thm)],[93,theory(equality)]) ).
cnf(462,negated_conjecture,
( vtcheck(esk28_0,vvar(esk31_0),esk32_0)
| visFreeVar(esk29_0,vvar(esk31_0)) ),
inference(spm,[status(thm)],[310,315,theory(equality)]) ).
cnf(467,plain,
( X1 = X2
| vsubst(X3,X4,X5) != X1
| vvar(X6) != X5
| X3 != X6
| X2 != X4 ),
inference(er,[status(thm)],[194,theory(equality)]) ).
cnf(468,plain,
( X1 = X2
| vsubst(X3,X4,X5) != X1
| vvar(X3) != X5
| X2 != X4 ),
inference(er,[status(thm)],[467,theory(equality)]) ).
cnf(469,plain,
( X1 = X2
| vsubst(X3,X2,X4) != X1
| vvar(X3) != X4 ),
inference(er,[status(thm)],[468,theory(equality)]) ).
cnf(477,plain,
( vvar(X1) = X2
| X1 = X3
| vsubst(X4,X5,X6) != X2
| vvar(X1) != X6
| X4 != X3 ),
inference(er,[status(thm)],[191,theory(equality)]) ).
cnf(478,plain,
( vvar(X1) = X2
| X1 = X3
| vsubst(X3,X4,X5) != X2
| vvar(X1) != X5 ),
inference(er,[status(thm)],[477,theory(equality)]) ).
cnf(480,plain,
( vsomeType(X1) = X2
| vbind(X3,X1,X4) != X5
| vlookup(X6,X5) != X2
| X6 != X3 ),
inference(er,[status(thm)],[124,theory(equality)]) ).
cnf(481,plain,
( vsomeType(X1) = X2
| vbind(X3,X1,X4) != X5
| vlookup(X3,X5) != X2 ),
inference(er,[status(thm)],[480,theory(equality)]) ).
cnf(1122,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)],[121,303,theory(equality)]) ).
cnf(1280,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)],[121,294,theory(equality)]) ).
cnf(1677,plain,
( vsubst(X1,X2,X3) = X2
| vvar(X1) != X3 ),
inference(er,[status(thm)],[469,theory(equality)]) ).
cnf(1678,negated_conjecture,
( ~ vtcheck(esk28_0,esk30_0,esk32_0)
| vvar(esk29_0) != vvar(esk31_0) ),
inference(spm,[status(thm)],[314,1677,theory(equality)]) ).
cnf(1684,negated_conjecture,
( X1 = esk29_0
| vtcheck(esk28_0,vvar(esk31_0),esk32_0)
| vvar(X1) != vvar(esk31_0) ),
inference(spm,[status(thm)],[455,462,theory(equality)]) ).
cnf(1713,negated_conjecture,
( esk31_0 = esk29_0
| vtcheck(esk28_0,vvar(esk31_0),esk32_0) ),
inference(er,[status(thm)],[1684,theory(equality)]) ).
cnf(1992,plain,
( vvar(X1) = vsubst(X2,X3,X4)
| X1 = X2
| vvar(X1) != X4 ),
inference(er,[status(thm)],[478,theory(equality)]) ).
cnf(2054,plain,
( vvar(X1) = vsubst(X2,X3,vvar(X1))
| X1 = X2 ),
inference(er,[status(thm)],[1992,theory(equality)]) ).
cnf(2055,negated_conjecture,
( esk31_0 = esk29_0
| ~ vtcheck(esk28_0,vvar(esk31_0),esk32_0) ),
inference(spm,[status(thm)],[314,2054,theory(equality)]) ).
cnf(2059,negated_conjecture,
esk31_0 = esk29_0,
inference(csr,[status(thm)],[2055,1713]) ).
cnf(2060,negated_conjecture,
vtcheck(vbind(esk29_0,esk27_0,esk28_0),vvar(esk29_0),esk32_0),
inference(rw,[status(thm)],[315,2059,theory(equality)]) ).
cnf(2070,negated_conjecture,
( $false
| ~ vtcheck(esk28_0,esk30_0,esk32_0) ),
inference(rw,[status(thm)],[1678,2059,theory(equality)]) ).
cnf(2071,negated_conjecture,
~ vtcheck(esk28_0,esk30_0,esk32_0),
inference(cn,[status(thm)],[2070,theory(equality)]) ).
cnf(2213,plain,
( vsomeType(X1) = X2
| vlookup(X3,vbind(X3,X1,X4)) != X2 ),
inference(er,[status(thm)],[481,theory(equality)]) ).
cnf(2257,plain,
vsomeType(X1) = vlookup(X2,vbind(X2,X1,X3)),
inference(er,[status(thm)],[2213,theory(equality)]) ).
cnf(7558,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)],[1122,theory(equality)]) ).
cnf(7560,plain,
( vvar(esk19_3(vvar(X1),X2,X3)) = vvar(X1)
| ~ vtcheck(X3,vvar(X1),X2) ),
inference(sr,[status(thm)],[7558,111,theory(equality)]) ).
cnf(7579,plain,
( vsubst(X1,X2,vvar(X3)) = vvar(X3)
| esk19_3(vvar(X3),X4,X5) = X1
| ~ vtcheck(X5,vvar(X3),X4) ),
inference(spm,[status(thm)],[2054,7560,theory(equality)]) ).
cnf(7900,negated_conjecture,
( vsubst(X1,X2,vvar(esk29_0)) = vvar(esk29_0)
| esk19_3(vvar(esk29_0),esk32_0,vbind(esk29_0,esk27_0,esk28_0)) = X1 ),
inference(spm,[status(thm)],[7579,2060,theory(equality)]) ).
cnf(8137,negated_conjecture,
( vvar(esk29_0) = X2
| esk19_3(vvar(esk29_0),esk32_0,vbind(esk29_0,esk27_0,esk28_0)) = X1
| vvar(X1) != vvar(esk29_0) ),
inference(spm,[status(thm)],[1677,7900,theory(equality)]) ).
cnf(18918,negated_conjecture,
( esk19_3(vvar(esk29_0),esk32_0,vbind(esk29_0,esk27_0,esk28_0)) = esk29_0
| vvar(esk29_0) = X1 ),
inference(er,[status(thm)],[8137,theory(equality)]) ).
cnf(18929,negated_conjecture,
( visValue(vvar(esk29_0))
| esk19_3(vvar(esk29_0),esk32_0,vbind(esk29_0,esk27_0,esk28_0)) = esk29_0 ),
inference(spm,[status(thm)],[447,18918,theory(equality)]) ).
cnf(20527,negated_conjecture,
esk19_3(vvar(esk29_0),esk32_0,vbind(esk29_0,esk27_0,esk28_0)) = esk29_0,
inference(sr,[status(thm)],[18929,441,theory(equality)]) ).
cnf(928894,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)],[1280,theory(equality)]) ).
cnf(928987,plain,
( vlookup(esk19_3(vvar(X1),X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,vvar(X1),X2) ),
inference(sr,[status(thm)],[928894,111,theory(equality)]) ).
cnf(929072,negated_conjecture,
( vlookup(esk29_0,vbind(esk29_0,esk27_0,esk28_0)) = vsomeType(esk32_0)
| ~ vtcheck(vbind(esk29_0,esk27_0,esk28_0),vvar(esk29_0),esk32_0) ),
inference(spm,[status(thm)],[928987,20527,theory(equality)]) ).
cnf(929273,negated_conjecture,
( vlookup(esk29_0,vbind(esk29_0,esk27_0,esk28_0)) = vsomeType(esk32_0)
| $false ),
inference(rw,[status(thm)],[929072,2060,theory(equality)]) ).
cnf(929274,negated_conjecture,
vlookup(esk29_0,vbind(esk29_0,esk27_0,esk28_0)) = vsomeType(esk32_0),
inference(cn,[status(thm)],[929273,theory(equality)]) ).
cnf(929539,negated_conjecture,
vlookup(esk29_0,vbind(esk29_0,esk27_0,esk28_0)) = vlookup(X1,vbind(X1,esk32_0,X2)),
inference(spm,[status(thm)],[2257,929274,theory(equality)]) ).
cnf(929541,negated_conjecture,
( esk32_0 = X1
| vlookup(esk29_0,vbind(esk29_0,esk27_0,esk28_0)) != vsomeType(X1) ),
inference(spm,[status(thm)],[157,929274,theory(equality)]) ).
cnf(930825,negated_conjecture,
( vsomeType(esk27_0) = X1
| vlookup(X2,vbind(X2,esk32_0,X3)) != X1 ),
inference(spm,[status(thm)],[2213,929539,theory(equality)]) ).
cnf(930996,negated_conjecture,
vsomeType(esk27_0) = vlookup(X1,vbind(X1,esk32_0,X2)),
inference(er,[status(thm)],[930825,theory(equality)]) ).
cnf(931587,negated_conjecture,
( esk32_0 = esk27_0
| vlookup(X1,vbind(X1,esk32_0,X2)) != vlookup(esk29_0,vbind(esk29_0,esk27_0,esk28_0)) ),
inference(spm,[status(thm)],[929541,930996,theory(equality)]) ).
cnf(931601,negated_conjecture,
esk32_0 = esk27_0,
inference(sr,[status(thm)],[931587,929539,theory(equality)]) ).
cnf(931608,negated_conjecture,
~ vtcheck(esk28_0,esk30_0,esk27_0),
inference(rw,[status(thm)],[2071,931601,theory(equality)]) ).
cnf(931716,negated_conjecture,
$false,
inference(sr,[status(thm)],[316,931608,theory(equality)]) ).
cnf(931717,negated_conjecture,
$false,
931716,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM135+1 : TPTP v6.4.0. Released v6.4.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n007.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 16091.75MB
% 0.03/0.23 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Mar 25 12:03:43 CDT 2016
% 0.03/0.23 % 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]
% 29.05/29.37 eprover: CPU time limit exceeded, terminating
% 109.22/111.88 eprover: CPU time limit exceeded, terminating
% 109.43/113.25 -running prover on /export/starexec/sandbox2/tmp/tmpnpySFi/sel_theBenchmark.p_1 with time limit 29
% 109.43/113.25 -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/tmpnpySFi/sel_theBenchmark.p_1']
% 109.43/113.25 -prover status ResourceOut
% 109.43/113.25 -running prover on /export/starexec/sandbox2/tmp/tmpnpySFi/sel_theBenchmark.p_2 with time limit 80
% 109.43/113.25 -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/tmpnpySFi/sel_theBenchmark.p_2']
% 109.43/113.25 -prover status ResourceOut
% 109.43/113.25 --creating new selector for [COM001+0.ax]
% 183.43/190.77 eprover: CPU time limit exceeded, terminating
% 183.65/194.57 -running prover on /export/starexec/sandbox2/tmp/tmpnpySFi/sel_theBenchmark.p_3 with time limit 74
% 183.65/194.57 -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/tmpnpySFi/sel_theBenchmark.p_3']
% 183.65/194.57 -prover status ResourceOut
% 183.65/194.57 --creating new selector for [COM001+0.ax]
% 209.58/224.98 -running prover on /export/starexec/sandbox2/tmp/tmpnpySFi/sel_theBenchmark.p_4 with time limit 52
% 209.58/224.98 -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=52', '/export/starexec/sandbox2/tmp/tmpnpySFi/sel_theBenchmark.p_4']
% 209.58/224.98 -prover status Theorem
% 209.58/224.98 Problem theBenchmark.p solved in phase 3.
% 209.58/224.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 209.58/224.98 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 209.58/224.98 Solved 1 out of 1.
% 209.58/224.98 # Problem is unsatisfiable (or provable), constructing proof object
% 209.58/224.98 # SZS status Theorem
% 209.58/224.98 # SZS output start CNFRefutation.
% See solution above
% 209.58/225.00 # SZS output end CNFRefutation
%------------------------------------------------------------------------------