TSTP Solution File: COM138+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : COM138+1 : TPTP v6.4.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n022.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 198.96s
% Output : CNFRefutation 198.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 89 ( 19 unt; 0 def)
% Number of atoms : 355 ( 102 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 413 ( 147 ~; 190 |; 56 &)
% ( 0 <=>; 20 =>; 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 : 21 ( 21 usr; 5 con; 0-3 aty)
% Number of variables : 323 ( 30 sgn 152 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( equal(X2,vvar(X1))
=> ~ visValue(X2) ),
file('/export/starexec/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_4',isValue1) ).
fof(2,axiom,
! [X1,X3,X4,X2] :
( equal(X2,vabs(X1,X3,X4))
=> visValue(X2) ),
file('/export/starexec/sandbox/tmp/tmpoLL_s2/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/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_4',isFreeVar0) ).
fof(14,axiom,
! [X10,X11,X18,X2] : ~ equal(vvar(X10),vabs(X11,X18,X2)),
file('/export/starexec/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_4','DIFF-var-abs') ).
fof(17,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/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_4',lookup2) ).
fof(19,axiom,
! [X4,X17,X16] :
( vtcheck(X16,X4,X17)
=> ( ? [X1] :
( equal(X4,vvar(X1))
& equal(vlookup(X1,X16),vsomeType(X17)) )
| ? [X1,X6,X24,X25] :
( equal(X4,vabs(X1,X24,X6))
& equal(X17,varrow(X24,X25))
& vtcheck(vbind(X1,X24,X16),X6,X25) )
| ? [X5,X6,X3] :
( equal(X4,vapp(X5,X6))
& vtcheck(X16,X5,varrow(X3,X17))
& vtcheck(X16,X6,X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_4','T-inv') ).
fof(33,axiom,
! [X10,X2,X7] : ~ equal(vvar(X10),vapp(X2,X7)),
file('/export/starexec/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_4','DIFF-var-app') ).
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/sandbox/tmp/tmpoLL_s2/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/sandbox/tmp/tmpoLL_s2/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/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_4','T-var') ).
fof(49,conjecture,
! [X1,X3,X16,X13,X17] :
( ( ~ visFreeVar(X1,vvar(X13))
& vtcheck(vbind(X1,X3,X16),vvar(X13),X17) )
=> vtcheck(X16,vvar(X13),X17) ),
file('/export/starexec/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_4','T-Strong-var') ).
fof(51,negated_conjecture,
~ ! [X1,X3,X16,X13,X17] :
( ( ~ visFreeVar(X1,vvar(X13))
& vtcheck(vbind(X1,X3,X16),vvar(X13),X17) )
=> vtcheck(X16,vvar(X13),X17) ),
inference(assume_negation,[status(cth)],[49]) ).
fof(52,plain,
! [X1,X2] :
( equal(X2,vvar(X1))
=> ~ visValue(X2) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(60,negated_conjecture,
~ ! [X1,X3,X16,X13,X17] :
( ( ~ visFreeVar(X1,vvar(X13))
& vtcheck(vbind(X1,X3,X16),vvar(X13),X17) )
=> vtcheck(X16,vvar(X13),X17) ),
inference(fof_simplification,[status(thm)],[51,theory(equality)]) ).
fof(65,plain,
! [X1,X2] :
( ~ equal(X2,vvar(X1))
| ~ visValue(X2) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(66,plain,
! [X3,X4] :
( ~ equal(X4,vvar(X3))
| ~ visValue(X4) ),
inference(variable_rename,[status(thm)],[65]) ).
cnf(67,plain,
( ~ visValue(X1)
| X1 != vvar(X2) ),
inference(split_conjunct,[status(thm)],[66]) ).
fof(68,plain,
! [X1,X3,X4,X2] :
( ~ equal(X2,vabs(X1,X3,X4))
| visValue(X2) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(69,plain,
! [X5,X6,X7,X8] :
( ~ equal(X8,vabs(X5,X6,X7))
| visValue(X8) ),
inference(variable_rename,[status(thm)],[68]) ).
cnf(70,plain,
( visValue(X1)
| X1 != vabs(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[69]) ).
fof(87,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(88,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)],[87]) ).
fof(89,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)],[88]) ).
cnf(91,plain,
( visFreeVar(X3,X1)
| X1 != vvar(X2)
| X3 != X4
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[89]) ).
fof(115,plain,
! [X19,X20,X21,X22] : ~ equal(vvar(X19),vabs(X20,X21,X22)),
inference(variable_rename,[status(thm)],[14]) ).
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)],[17]) ).
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(129,plain,
! [X4,X17,X16] :
( ~ vtcheck(X16,X4,X17)
| ? [X1] :
( equal(X4,vvar(X1))
& equal(vlookup(X1,X16),vsomeType(X17)) )
| ? [X1,X6,X24,X25] :
( equal(X4,vabs(X1,X24,X6))
& equal(X17,varrow(X24,X25))
& vtcheck(vbind(X1,X24,X16),X6,X25) )
| ? [X5,X6,X3] :
( equal(X4,vapp(X5,X6))
& vtcheck(X16,X5,varrow(X3,X17))
& vtcheck(X16,X6,X3) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(130,plain,
! [X26,X27,X28] :
( ~ vtcheck(X28,X26,X27)
| ? [X29] :
( equal(X26,vvar(X29))
& equal(vlookup(X29,X28),vsomeType(X27)) )
| ? [X30,X31,X32,X33] :
( equal(X26,vabs(X30,X32,X31))
& equal(X27,varrow(X32,X33))
& vtcheck(vbind(X30,X32,X28),X31,X33) )
| ? [X34,X35,X36] :
( equal(X26,vapp(X34,X35))
& vtcheck(X28,X34,varrow(X36,X27))
& vtcheck(X28,X35,X36) ) ),
inference(variable_rename,[status(thm)],[129]) ).
fof(131,plain,
! [X26,X27,X28] :
( ~ vtcheck(X28,X26,X27)
| ( equal(X26,vvar(esk1_3(X26,X27,X28)))
& equal(vlookup(esk1_3(X26,X27,X28),X28),vsomeType(X27)) )
| ( equal(X26,vabs(esk2_3(X26,X27,X28),esk4_3(X26,X27,X28),esk3_3(X26,X27,X28)))
& equal(X27,varrow(esk4_3(X26,X27,X28),esk5_3(X26,X27,X28)))
& vtcheck(vbind(esk2_3(X26,X27,X28),esk4_3(X26,X27,X28),X28),esk3_3(X26,X27,X28),esk5_3(X26,X27,X28)) )
| ( equal(X26,vapp(esk6_3(X26,X27,X28),esk7_3(X26,X27,X28)))
& vtcheck(X28,esk6_3(X26,X27,X28),varrow(esk8_3(X26,X27,X28),X27))
& vtcheck(X28,esk7_3(X26,X27,X28),esk8_3(X26,X27,X28)) ) ),
inference(skolemize,[status(esa)],[130]) ).
fof(132,plain,
! [X26,X27,X28] :
( ( equal(X26,vapp(esk6_3(X26,X27,X28),esk7_3(X26,X27,X28)))
| equal(X26,vabs(esk2_3(X26,X27,X28),esk4_3(X26,X27,X28),esk3_3(X26,X27,X28)))
| equal(X26,vvar(esk1_3(X26,X27,X28)))
| ~ vtcheck(X28,X26,X27) )
& ( vtcheck(X28,esk6_3(X26,X27,X28),varrow(esk8_3(X26,X27,X28),X27))
| equal(X26,vabs(esk2_3(X26,X27,X28),esk4_3(X26,X27,X28),esk3_3(X26,X27,X28)))
| equal(X26,vvar(esk1_3(X26,X27,X28)))
| ~ vtcheck(X28,X26,X27) )
& ( vtcheck(X28,esk7_3(X26,X27,X28),esk8_3(X26,X27,X28))
| equal(X26,vabs(esk2_3(X26,X27,X28),esk4_3(X26,X27,X28),esk3_3(X26,X27,X28)))
| equal(X26,vvar(esk1_3(X26,X27,X28)))
| ~ vtcheck(X28,X26,X27) )
& ( equal(X26,vapp(esk6_3(X26,X27,X28),esk7_3(X26,X27,X28)))
| equal(X27,varrow(esk4_3(X26,X27,X28),esk5_3(X26,X27,X28)))
| equal(X26,vvar(esk1_3(X26,X27,X28)))
| ~ vtcheck(X28,X26,X27) )
& ( vtcheck(X28,esk6_3(X26,X27,X28),varrow(esk8_3(X26,X27,X28),X27))
| equal(X27,varrow(esk4_3(X26,X27,X28),esk5_3(X26,X27,X28)))
| equal(X26,vvar(esk1_3(X26,X27,X28)))
| ~ vtcheck(X28,X26,X27) )
& ( vtcheck(X28,esk7_3(X26,X27,X28),esk8_3(X26,X27,X28))
| equal(X27,varrow(esk4_3(X26,X27,X28),esk5_3(X26,X27,X28)))
| equal(X26,vvar(esk1_3(X26,X27,X28)))
| ~ vtcheck(X28,X26,X27) )
& ( equal(X26,vapp(esk6_3(X26,X27,X28),esk7_3(X26,X27,X28)))
| vtcheck(vbind(esk2_3(X26,X27,X28),esk4_3(X26,X27,X28),X28),esk3_3(X26,X27,X28),esk5_3(X26,X27,X28))
| equal(X26,vvar(esk1_3(X26,X27,X28)))
| ~ vtcheck(X28,X26,X27) )
& ( vtcheck(X28,esk6_3(X26,X27,X28),varrow(esk8_3(X26,X27,X28),X27))
| vtcheck(vbind(esk2_3(X26,X27,X28),esk4_3(X26,X27,X28),X28),esk3_3(X26,X27,X28),esk5_3(X26,X27,X28))
| equal(X26,vvar(esk1_3(X26,X27,X28)))
| ~ vtcheck(X28,X26,X27) )
& ( vtcheck(X28,esk7_3(X26,X27,X28),esk8_3(X26,X27,X28))
| vtcheck(vbind(esk2_3(X26,X27,X28),esk4_3(X26,X27,X28),X28),esk3_3(X26,X27,X28),esk5_3(X26,X27,X28))
| equal(X26,vvar(esk1_3(X26,X27,X28)))
| ~ vtcheck(X28,X26,X27) )
& ( equal(X26,vapp(esk6_3(X26,X27,X28),esk7_3(X26,X27,X28)))
| equal(X26,vabs(esk2_3(X26,X27,X28),esk4_3(X26,X27,X28),esk3_3(X26,X27,X28)))
| equal(vlookup(esk1_3(X26,X27,X28),X28),vsomeType(X27))
| ~ vtcheck(X28,X26,X27) )
& ( vtcheck(X28,esk6_3(X26,X27,X28),varrow(esk8_3(X26,X27,X28),X27))
| equal(X26,vabs(esk2_3(X26,X27,X28),esk4_3(X26,X27,X28),esk3_3(X26,X27,X28)))
| equal(vlookup(esk1_3(X26,X27,X28),X28),vsomeType(X27))
| ~ vtcheck(X28,X26,X27) )
& ( vtcheck(X28,esk7_3(X26,X27,X28),esk8_3(X26,X27,X28))
| equal(X26,vabs(esk2_3(X26,X27,X28),esk4_3(X26,X27,X28),esk3_3(X26,X27,X28)))
| equal(vlookup(esk1_3(X26,X27,X28),X28),vsomeType(X27))
| ~ vtcheck(X28,X26,X27) )
& ( equal(X26,vapp(esk6_3(X26,X27,X28),esk7_3(X26,X27,X28)))
| equal(X27,varrow(esk4_3(X26,X27,X28),esk5_3(X26,X27,X28)))
| equal(vlookup(esk1_3(X26,X27,X28),X28),vsomeType(X27))
| ~ vtcheck(X28,X26,X27) )
& ( vtcheck(X28,esk6_3(X26,X27,X28),varrow(esk8_3(X26,X27,X28),X27))
| equal(X27,varrow(esk4_3(X26,X27,X28),esk5_3(X26,X27,X28)))
| equal(vlookup(esk1_3(X26,X27,X28),X28),vsomeType(X27))
| ~ vtcheck(X28,X26,X27) )
& ( vtcheck(X28,esk7_3(X26,X27,X28),esk8_3(X26,X27,X28))
| equal(X27,varrow(esk4_3(X26,X27,X28),esk5_3(X26,X27,X28)))
| equal(vlookup(esk1_3(X26,X27,X28),X28),vsomeType(X27))
| ~ vtcheck(X28,X26,X27) )
& ( equal(X26,vapp(esk6_3(X26,X27,X28),esk7_3(X26,X27,X28)))
| vtcheck(vbind(esk2_3(X26,X27,X28),esk4_3(X26,X27,X28),X28),esk3_3(X26,X27,X28),esk5_3(X26,X27,X28))
| equal(vlookup(esk1_3(X26,X27,X28),X28),vsomeType(X27))
| ~ vtcheck(X28,X26,X27) )
& ( vtcheck(X28,esk6_3(X26,X27,X28),varrow(esk8_3(X26,X27,X28),X27))
| vtcheck(vbind(esk2_3(X26,X27,X28),esk4_3(X26,X27,X28),X28),esk3_3(X26,X27,X28),esk5_3(X26,X27,X28))
| equal(vlookup(esk1_3(X26,X27,X28),X28),vsomeType(X27))
| ~ vtcheck(X28,X26,X27) )
& ( vtcheck(X28,esk7_3(X26,X27,X28),esk8_3(X26,X27,X28))
| vtcheck(vbind(esk2_3(X26,X27,X28),esk4_3(X26,X27,X28),X28),esk3_3(X26,X27,X28),esk5_3(X26,X27,X28))
| equal(vlookup(esk1_3(X26,X27,X28),X28),vsomeType(X27))
| ~ vtcheck(X28,X26,X27) ) ),
inference(distribute,[status(thm)],[131]) ).
cnf(141,plain,
( vlookup(esk1_3(X2,X3,X1),X1) = vsomeType(X3)
| X2 = vabs(esk2_3(X2,X3,X1),esk4_3(X2,X3,X1),esk3_3(X2,X3,X1))
| X2 = vapp(esk6_3(X2,X3,X1),esk7_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[132]) ).
cnf(150,plain,
( X2 = vvar(esk1_3(X2,X3,X1))
| X2 = vabs(esk2_3(X2,X3,X1),esk4_3(X2,X3,X1),esk3_3(X2,X3,X1))
| X2 = vapp(esk6_3(X2,X3,X1),esk7_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[132]) ).
fof(203,plain,
! [X11,X12,X13] : ~ equal(vvar(X11),vapp(X12,X13)),
inference(variable_rename,[status(thm)],[33]) ).
cnf(204,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[203]) ).
fof(205,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(206,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)],[205]) ).
cnf(207,plain,
( X1 = vvar(X2)
| X6 = X2
| X1 != vsubst(X3,X4,X5)
| X5 != vvar(X2)
| X4 != X7
| X3 != X6 ),
inference(split_conjunct,[status(thm)],[206]) ).
fof(208,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(209,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)],[208]) ).
cnf(210,plain,
( X1 = X2
| X1 != vsubst(X3,X4,X5)
| X6 != X7
| X5 != vvar(X7)
| X4 != X2
| X3 != X6 ),
inference(split_conjunct,[status(thm)],[209]) ).
fof(277,plain,
! [X16,X1,X17] :
( ~ equal(vlookup(X1,X16),vsomeType(X17))
| vtcheck(X16,vvar(X1),X17) ),
inference(fof_nnf,[status(thm)],[42]) ).
fof(278,plain,
! [X18,X19,X20] :
( ~ equal(vlookup(X19,X18),vsomeType(X20))
| vtcheck(X18,vvar(X19),X20) ),
inference(variable_rename,[status(thm)],[277]) ).
cnf(279,plain,
( vtcheck(X1,vvar(X2),X3)
| vlookup(X2,X1) != vsomeType(X3) ),
inference(split_conjunct,[status(thm)],[278]) ).
fof(305,negated_conjecture,
? [X1,X3,X16,X13,X17] :
( ~ visFreeVar(X1,vvar(X13))
& vtcheck(vbind(X1,X3,X16),vvar(X13),X17)
& ~ vtcheck(X16,vvar(X13),X17) ),
inference(fof_nnf,[status(thm)],[60]) ).
fof(306,negated_conjecture,
? [X18,X19,X20,X21,X22] :
( ~ visFreeVar(X18,vvar(X21))
& vtcheck(vbind(X18,X19,X20),vvar(X21),X22)
& ~ vtcheck(X20,vvar(X21),X22) ),
inference(variable_rename,[status(thm)],[305]) ).
fof(307,negated_conjecture,
( ~ visFreeVar(esk27_0,vvar(esk30_0))
& vtcheck(vbind(esk27_0,esk28_0,esk29_0),vvar(esk30_0),esk31_0)
& ~ vtcheck(esk29_0,vvar(esk30_0),esk31_0) ),
inference(skolemize,[status(esa)],[306]) ).
cnf(308,negated_conjecture,
~ vtcheck(esk29_0,vvar(esk30_0),esk31_0),
inference(split_conjunct,[status(thm)],[307]) ).
cnf(309,negated_conjecture,
vtcheck(vbind(esk27_0,esk28_0,esk29_0),vvar(esk30_0),esk31_0),
inference(split_conjunct,[status(thm)],[307]) ).
cnf(310,negated_conjecture,
~ visFreeVar(esk27_0,vvar(esk30_0)),
inference(split_conjunct,[status(thm)],[307]) ).
cnf(431,plain,
~ visValue(vvar(X1)),
inference(er,[status(thm)],[67,theory(equality)]) ).
cnf(434,plain,
( visFreeVar(X1,X2)
| vvar(X3) != X2
| X3 != X1 ),
inference(er,[status(thm)],[91,theory(equality)]) ).
cnf(435,plain,
( visFreeVar(X1,X2)
| vvar(X1) != X2 ),
inference(er,[status(thm)],[434,theory(equality)]) ).
cnf(438,plain,
visValue(vabs(X1,X2,X3)),
inference(er,[status(thm)],[70,theory(equality)]) ).
cnf(448,negated_conjecture,
vlookup(esk30_0,esk29_0) != vsomeType(esk31_0),
inference(spm,[status(thm)],[308,279,theory(equality)]) ).
cnf(464,plain,
( X1 = X2
| vsubst(X3,X4,X5) != X1
| vvar(X6) != X5
| X3 != X6
| X2 != X4 ),
inference(er,[status(thm)],[210,theory(equality)]) ).
cnf(465,plain,
( X1 = X2
| vsubst(X3,X4,X5) != X1
| vvar(X3) != X5
| X2 != X4 ),
inference(er,[status(thm)],[464,theory(equality)]) ).
cnf(466,plain,
( X1 = X2
| vsubst(X3,X2,X4) != X1
| vvar(X3) != X4 ),
inference(er,[status(thm)],[465,theory(equality)]) ).
cnf(468,plain,
( vvar(X1) = X2
| X1 = X3
| vsubst(X4,X5,X6) != X2
| vvar(X1) != X6
| X4 != X3 ),
inference(er,[status(thm)],[207,theory(equality)]) ).
cnf(469,plain,
( vvar(X1) = X2
| X1 = X3
| vsubst(X3,X4,X5) != X2
| vvar(X1) != X5 ),
inference(er,[status(thm)],[468,theory(equality)]) ).
cnf(480,plain,
( vlookup(X1,X2) = X3
| X1 = X4
| vbind(X4,X5,X2) != X6
| vlookup(X1,X6) != X3 ),
inference(er,[status(thm)],[125,theory(equality)]) ).
cnf(1074,plain,
( vapp(esk6_3(X1,X2,X3),esk7_3(X1,X2,X3)) = X1
| vvar(esk1_3(X1,X2,X3)) = X1
| X1 != vvar(X4)
| ~ vtcheck(X3,X1,X2) ),
inference(spm,[status(thm)],[116,150,theory(equality)]) ).
cnf(1207,plain,
( vapp(esk6_3(X1,X2,X3),esk7_3(X1,X2,X3)) = X1
| vlookup(esk1_3(X1,X2,X3),X3) = vsomeType(X2)
| X1 != vvar(X4)
| ~ vtcheck(X3,X1,X2) ),
inference(spm,[status(thm)],[116,141,theory(equality)]) ).
cnf(1499,negated_conjecture,
vvar(esk27_0) != vvar(esk30_0),
inference(spm,[status(thm)],[310,435,theory(equality)]) ).
cnf(1747,plain,
( vsubst(X1,X2,X3) = X2
| vvar(X1) != X3 ),
inference(er,[status(thm)],[466,theory(equality)]) ).
cnf(2141,plain,
( vvar(X1) = vsubst(X2,X3,X4)
| X1 = X2
| vvar(X1) != X4 ),
inference(er,[status(thm)],[469,theory(equality)]) ).
cnf(2147,plain,
( vvar(X1) = vsubst(X2,X3,vvar(X1))
| X1 = X2 ),
inference(er,[status(thm)],[2141,theory(equality)]) ).
cnf(2422,plain,
( vlookup(X1,X2) = X3
| X1 = X4
| vlookup(X1,vbind(X4,X5,X2)) != X3 ),
inference(er,[status(thm)],[480,theory(equality)]) ).
cnf(2473,plain,
( vlookup(X1,X2) = vlookup(X1,vbind(X3,X4,X2))
| X1 = X3 ),
inference(er,[status(thm)],[2422,theory(equality)]) ).
cnf(4949,plain,
( vapp(esk6_3(vvar(X1),X2,X3),esk7_3(vvar(X1),X2,X3)) = vvar(X1)
| vvar(esk1_3(vvar(X1),X2,X3)) = vvar(X1)
| ~ vtcheck(X3,vvar(X1),X2) ),
inference(er,[status(thm)],[1074,theory(equality)]) ).
cnf(4951,plain,
( vvar(esk1_3(vvar(X1),X2,X3)) = vvar(X1)
| ~ vtcheck(X3,vvar(X1),X2) ),
inference(sr,[status(thm)],[4949,204,theory(equality)]) ).
cnf(4974,plain,
( vsubst(X1,X2,vvar(X3)) = vvar(X3)
| esk1_3(vvar(X3),X4,X5) = X1
| ~ vtcheck(X5,vvar(X3),X4) ),
inference(spm,[status(thm)],[2147,4951,theory(equality)]) ).
cnf(5047,negated_conjecture,
( vsubst(X1,X2,vvar(esk30_0)) = vvar(esk30_0)
| esk1_3(vvar(esk30_0),esk31_0,vbind(esk27_0,esk28_0,esk29_0)) = X1 ),
inference(spm,[status(thm)],[4974,309,theory(equality)]) ).
cnf(5265,negated_conjecture,
( vvar(esk30_0) = X2
| esk1_3(vvar(esk30_0),esk31_0,vbind(esk27_0,esk28_0,esk29_0)) = X1
| vvar(X1) != vvar(esk30_0) ),
inference(spm,[status(thm)],[1747,5047,theory(equality)]) ).
cnf(7509,negated_conjecture,
( esk1_3(vvar(esk30_0),esk31_0,vbind(esk27_0,esk28_0,esk29_0)) = esk30_0
| vvar(esk30_0) = X1 ),
inference(er,[status(thm)],[5265,theory(equality)]) ).
cnf(7518,negated_conjecture,
( visValue(vvar(esk30_0))
| esk1_3(vvar(esk30_0),esk31_0,vbind(esk27_0,esk28_0,esk29_0)) = esk30_0 ),
inference(spm,[status(thm)],[438,7509,theory(equality)]) ).
cnf(8500,negated_conjecture,
esk1_3(vvar(esk30_0),esk31_0,vbind(esk27_0,esk28_0,esk29_0)) = esk30_0,
inference(sr,[status(thm)],[7518,431,theory(equality)]) ).
cnf(464618,plain,
( vapp(esk6_3(vvar(X1),X2,X3),esk7_3(vvar(X1),X2,X3)) = vvar(X1)
| vlookup(esk1_3(vvar(X1),X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,vvar(X1),X2) ),
inference(er,[status(thm)],[1207,theory(equality)]) ).
cnf(464694,plain,
( vlookup(esk1_3(vvar(X1),X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,vvar(X1),X2) ),
inference(sr,[status(thm)],[464618,204,theory(equality)]) ).
cnf(464753,negated_conjecture,
( vlookup(esk30_0,vbind(esk27_0,esk28_0,esk29_0)) = vsomeType(esk31_0)
| ~ vtcheck(vbind(esk27_0,esk28_0,esk29_0),vvar(esk30_0),esk31_0) ),
inference(spm,[status(thm)],[464694,8500,theory(equality)]) ).
cnf(464924,negated_conjecture,
( vlookup(esk30_0,vbind(esk27_0,esk28_0,esk29_0)) = vsomeType(esk31_0)
| $false ),
inference(rw,[status(thm)],[464753,309,theory(equality)]) ).
cnf(464925,negated_conjecture,
vlookup(esk30_0,vbind(esk27_0,esk28_0,esk29_0)) = vsomeType(esk31_0),
inference(cn,[status(thm)],[464924,theory(equality)]) ).
cnf(465044,negated_conjecture,
( vsomeType(esk31_0) = vlookup(esk30_0,esk29_0)
| esk30_0 = esk27_0 ),
inference(spm,[status(thm)],[2473,464925,theory(equality)]) ).
cnf(465055,negated_conjecture,
esk27_0 = esk30_0,
inference(sr,[status(thm)],[465044,448,theory(equality)]) ).
cnf(465059,negated_conjecture,
$false,
inference(rw,[status(thm)],[1499,465055,theory(equality)]) ).
cnf(465060,negated_conjecture,
$false,
inference(cn,[status(thm)],[465059,theory(equality)]) ).
cnf(465061,negated_conjecture,
$false,
465060,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM138+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 : n022.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 12:10:58 CDT 2016
% 0.02/0.23 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for [COM001+0.ax]
% 29.03/29.39 eprover: CPU time limit exceeded, terminating
% 110.27/113.60 eprover: CPU time limit exceeded, terminating
% 110.46/115.01 -running prover on /export/starexec/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_1 with time limit 29
% 110.46/115.01 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_1']
% 110.46/115.01 -prover status ResourceOut
% 110.46/115.01 -running prover on /export/starexec/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_2 with time limit 81
% 110.46/115.01 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=81', '/export/starexec/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_2']
% 110.46/115.01 -prover status ResourceOut
% 110.46/115.01 --creating new selector for [COM001+0.ax]
% 184.52/189.30 eprover: CPU time limit exceeded, terminating
% 184.70/190.43 -running prover on /export/starexec/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_3 with time limit 74
% 184.70/190.43 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=74', '/export/starexec/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_3']
% 184.70/190.43 -prover status ResourceOut
% 184.70/190.43 --creating new selector for [COM001+0.ax]
% 198.96/204.75 -running prover on /export/starexec/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_4 with time limit 54
% 198.96/204.75 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=54', '/export/starexec/sandbox/tmp/tmpoLL_s2/sel_theBenchmark.p_4']
% 198.96/204.75 -prover status Theorem
% 198.96/204.75 Problem theBenchmark.p solved in phase 3.
% 198.96/204.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 198.96/204.75 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 198.96/204.75 Solved 1 out of 1.
% 198.96/204.75 # Problem is unsatisfiable (or provable), constructing proof object
% 198.96/204.75 # SZS status Theorem
% 198.96/204.75 # SZS output start CNFRefutation.
% See solution above
% 198.96/204.78 # SZS output end CNFRefutation
%------------------------------------------------------------------------------