TSTP Solution File: NUM536+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM536+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n038.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:21:42 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 7
% Syntax : Number of formulae : 83 ( 13 unt; 0 def)
% Number of atoms : 515 ( 28 equ)
% Maximal formula atoms : 54 ( 6 avg)
% Number of connectives : 691 ( 259 ~; 302 |; 112 &)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 116 ( 0 sgn 68 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X1) )
=> equal(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmpgZ06Ql/sel_theBenchmark.p_1',mSubASymm) ).
fof(5,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmpgZ06Ql/sel_theBenchmark.p_1',mEOfElem) ).
fof(9,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( equal(X3,sdtpldt0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| equal(X4,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpgZ06Ql/sel_theBenchmark.p_1',mDefCons) ).
fof(10,conjecture,
( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| equal(X1,xx) ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& ~ equal(X1,xx) ) ) )
=> equal(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ),
file('/export/starexec/sandbox/tmp/tmpgZ06Ql/sel_theBenchmark.p_1',m__) ).
fof(12,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpgZ06Ql/sel_theBenchmark.p_1',mDefSub) ).
fof(14,axiom,
( aElement0(xx)
& aSet0(xS) ),
file('/export/starexec/sandbox/tmp/tmpgZ06Ql/sel_theBenchmark.p_1',m__679) ).
fof(18,axiom,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox/tmp/tmpgZ06Ql/sel_theBenchmark.p_1',m__679_02) ).
fof(21,negated_conjecture,
~ ( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| equal(X1,xx) ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& ~ equal(X1,xx) ) ) )
=> equal(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ),
inference(assume_negation,[status(cth)],[10]) ).
fof(23,plain,
~ aElementOf0(xx,xS),
inference(fof_simplification,[status(thm)],[18,theory(equality)]) ).
fof(27,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(28,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aSet0(X4)
| ~ aSubsetOf0(X3,X4)
| ~ aSubsetOf0(X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[27]) ).
cnf(29,plain,
( X1 = X2
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(36,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(37,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[36]) ).
fof(38,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[37]) ).
cnf(39,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[38]) ).
fof(58,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElement0(X2)
| ! [X3] :
( ( ~ equal(X3,sdtpldt0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aElement0(X4)
& ( aElementOf0(X4,X1)
| equal(X4,X2) ) ) )
& ( ~ aElement0(X4)
| ( ~ aElementOf0(X4,X1)
& ~ equal(X4,X2) )
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aElement0(X4)
| ( ~ aElementOf0(X4,X1)
& ~ equal(X4,X2) ) )
& ( aElementOf0(X4,X3)
| ( aElement0(X4)
& ( aElementOf0(X4,X1)
| equal(X4,X2) ) ) ) )
| equal(X3,sdtpldt0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(59,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtpldt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& ( aElementOf0(X8,X5)
| equal(X8,X6) ) ) )
& ( ~ aElement0(X8)
| ( ~ aElementOf0(X8,X5)
& ~ equal(X8,X6) )
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aElement0(X9)
| ( ~ aElementOf0(X9,X5)
& ~ equal(X9,X6) ) )
& ( aElementOf0(X9,X7)
| ( aElement0(X9)
& ( aElementOf0(X9,X5)
| equal(X9,X6) ) ) ) )
| equal(X7,sdtpldt0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[58]) ).
fof(60,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtpldt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& ( aElementOf0(X8,X5)
| equal(X8,X6) ) ) )
& ( ~ aElement0(X8)
| ( ~ aElementOf0(X8,X5)
& ~ equal(X8,X6) )
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aElement0(esk2_3(X5,X6,X7))
| ( ~ aElementOf0(esk2_3(X5,X6,X7),X5)
& ~ equal(esk2_3(X5,X6,X7),X6) ) )
& ( aElementOf0(esk2_3(X5,X6,X7),X7)
| ( aElement0(esk2_3(X5,X6,X7))
& ( aElementOf0(esk2_3(X5,X6,X7),X5)
| equal(esk2_3(X5,X6,X7),X6) ) ) ) )
| equal(X7,sdtpldt0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[59]) ).
fof(61,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& ( aElementOf0(X8,X5)
| equal(X8,X6) ) ) )
& ( ~ aElement0(X8)
| ( ~ aElementOf0(X8,X5)
& ~ equal(X8,X6) )
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,sdtpldt0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aElement0(esk2_3(X5,X6,X7))
| ( ~ aElementOf0(esk2_3(X5,X6,X7),X5)
& ~ equal(esk2_3(X5,X6,X7),X6) ) )
& ( aElementOf0(esk2_3(X5,X6,X7),X7)
| ( aElement0(esk2_3(X5,X6,X7))
& ( aElementOf0(esk2_3(X5,X6,X7),X5)
| equal(esk2_3(X5,X6,X7),X6) ) ) ) )
| equal(X7,sdtpldt0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElement0(X6) ),
inference(shift_quantors,[status(thm)],[60]) ).
fof(62,plain,
! [X5,X6,X7,X8] :
( ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| equal(X8,X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(X8,X5)
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(X8,X6)
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aSet0(X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk2_3(X5,X6,X7),X5)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(esk2_3(X5,X6,X7),X6)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk2_3(X5,X6,X7))
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk2_3(X5,X6,X7),X5)
| equal(esk2_3(X5,X6,X7),X6)
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[61]) ).
cnf(69,plain,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[62]) ).
fof(72,negated_conjecture,
( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtpldt0(xS,xx))
| ( aElement0(X1)
& ( aElementOf0(X1,xS)
| equal(X1,xx) ) ) )
& ( ~ aElement0(X1)
| ( ~ aElementOf0(X1,xS)
& ~ equal(X1,xx) )
| aElementOf0(X1,sdtpldt0(xS,xx)) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& ~ equal(X1,xx) ) )
& ( ~ aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| equal(X1,xx)
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& ~ equal(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(73,negated_conjecture,
( aSet0(sdtpldt0(xS,xx))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ( aElement0(X2)
& ( aElementOf0(X2,xS)
| equal(X2,xx) ) ) )
& ( ~ aElement0(X2)
| ( ~ aElementOf0(X2,xS)
& ~ equal(X2,xx) )
| aElementOf0(X2,sdtpldt0(xS,xx)) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ( aElement0(X3)
& aElementOf0(X3,sdtpldt0(xS,xx))
& ~ equal(X3,xx) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& ~ equal(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(variable_rename,[status(thm)],[72]) ).
fof(74,negated_conjecture,
! [X2,X3] :
( ( ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ( aElement0(X3)
& aElementOf0(X3,sdtpldt0(xS,xx))
& ~ equal(X3,xx) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ equal(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ( ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ( aElement0(X2)
& ( aElementOf0(X2,xS)
| equal(X2,xx) ) ) )
& ( ~ aElement0(X2)
| ( ~ aElementOf0(X2,xS)
& ~ equal(X2,xx) )
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& aSet0(sdtpldt0(xS,xx)) ),
inference(shift_quantors,[status(thm)],[73]) ).
fof(75,negated_conjecture,
! [X2,X3] :
( ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ equal(X3,xx)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ equal(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElementOf0(X2,xS)
| equal(X2,xx)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ equal(X2,xx)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& aSet0(sdtpldt0(xS,xx)) ),
inference(distribute,[status(thm)],[74]) ).
cnf(79,negated_conjecture,
( X1 = xx
| aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(80,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(81,negated_conjecture,
sdtmndt0(sdtpldt0(xS,xx),xx) != xS,
inference(split_conjunct,[status(thm)],[75]) ).
cnf(82,negated_conjecture,
aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(83,negated_conjecture,
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| X1 = xx
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(84,negated_conjecture,
( ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| X1 != xx ),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(85,negated_conjecture,
( aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[75]) ).
fof(90,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ( ~ aSubsetOf0(X2,X1)
| ( aSet0(X2)
& ! [X3] :
( ~ aElementOf0(X3,X2)
| aElementOf0(X3,X1) ) ) )
& ( ~ aSet0(X2)
| ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,X1) )
| aSubsetOf0(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(91,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ? [X7] :
( aElementOf0(X7,X5)
& ~ aElementOf0(X7,X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(variable_rename,[status(thm)],[90]) ).
fof(92,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk3_2(X4,X5),X5)
& ~ aElementOf0(esk3_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(skolemize,[status(esa)],[91]) ).
fof(93,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) )
& aSet0(X5) )
| ~ aSubsetOf0(X5,X4) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk3_2(X4,X5),X5)
& ~ aElementOf0(esk3_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) )
| ~ aSet0(X4) ),
inference(shift_quantors,[status(thm)],[92]) ).
fof(94,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk3_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk3_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[93]) ).
cnf(95,plain,
( aSubsetOf0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[94]) ).
cnf(96,plain,
( aSubsetOf0(X2,X1)
| aElementOf0(esk3_2(X1,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[94]) ).
cnf(97,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[94]) ).
cnf(103,plain,
aSet0(xS),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(104,plain,
aElement0(xx),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(120,plain,
~ aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(163,plain,
( X1 = X2
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[29,97]) ).
cnf(170,negated_conjecture,
( xx = X1
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(csr,[status(thm)],[83,80]) ).
cnf(184,negated_conjecture,
( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| xx != esk3_2(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[84,96,theory(equality)]) ).
cnf(186,negated_conjecture,
( aElementOf0(esk3_2(X1,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[85,96,theory(equality)]) ).
cnf(191,negated_conjecture,
( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| xx != esk3_2(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| $false
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[184,82,theory(equality)]) ).
cnf(192,negated_conjecture,
( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| xx != esk3_2(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[191,theory(equality)]) ).
cnf(195,negated_conjecture,
( aElementOf0(esk3_2(X1,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| $false
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[186,82,theory(equality)]) ).
cnf(196,negated_conjecture,
( aElementOf0(esk3_2(X1,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[195,theory(equality)]) ).
cnf(202,negated_conjecture,
( aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| ~ aSet0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),X1),sdtpldt0(xS,xx)) ),
inference(spm,[status(thm)],[95,170,theory(equality)]) ).
cnf(208,negated_conjecture,
( aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| ~ aSet0(X1)
| $false
| ~ aElementOf0(esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),X1),sdtpldt0(xS,xx)) ),
inference(rw,[status(thm)],[202,82,theory(equality)]) ).
cnf(209,negated_conjecture,
( aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| ~ aSet0(X1)
| ~ aElementOf0(esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),X1),sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[208,theory(equality)]) ).
cnf(210,plain,
( aElementOf0(X4,X3)
| sdtpldt0(X2,X1) != X3
| ~ aElement0(X1)
| ~ aElementOf0(X4,X2)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[69,39]) ).
cnf(211,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[210,theory(equality)]) ).
cnf(645,negated_conjecture,
( xx = esk3_2(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk3_2(X1,sdtmndt0(sdtpldt0(xS,xx),xx)),xS)
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[79,196,theory(equality)]) ).
cnf(936,negated_conjecture,
( esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),X1) = xx
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElement0(xx)
| ~ aElementOf0(esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),X1),xS)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[209,211,theory(equality)]) ).
cnf(943,negated_conjecture,
( esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),X1) = xx
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(X1)
| $false
| ~ aElementOf0(esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),X1),xS)
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[936,104,theory(equality)]) ).
cnf(944,negated_conjecture,
( esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),X1) = xx
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(X1)
| $false
| ~ aElementOf0(esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),X1),xS)
| $false ),
inference(rw,[status(thm)],[943,103,theory(equality)]) ).
cnf(945,negated_conjecture,
( esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),X1) = xx
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElementOf0(esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),X1),xS) ),
inference(cn,[status(thm)],[944,theory(equality)]) ).
cnf(4293,negated_conjecture,
( aElementOf0(esk3_2(X1,sdtmndt0(sdtpldt0(xS,xx),xx)),xS)
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[645,192]) ).
cnf(4296,negated_conjecture,
( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[95,4293,theory(equality)]) ).
cnf(4313,negated_conjecture,
( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[4296,82,theory(equality)]) ).
cnf(4314,negated_conjecture,
( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| $false
| $false ),
inference(rw,[status(thm)],[4313,103,theory(equality)]) ).
cnf(4315,negated_conjecture,
aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS),
inference(cn,[status(thm)],[4314,theory(equality)]) ).
cnf(4337,negated_conjecture,
( xS = sdtmndt0(sdtpldt0(xS,xx),xx)
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[163,4315,theory(equality)]) ).
cnf(4357,negated_conjecture,
( xS = sdtmndt0(sdtpldt0(xS,xx),xx)
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| $false ),
inference(rw,[status(thm)],[4337,82,theory(equality)]) ).
cnf(4358,negated_conjecture,
( xS = sdtmndt0(sdtpldt0(xS,xx),xx)
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[4357,theory(equality)]) ).
cnf(4359,negated_conjecture,
~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(sr,[status(thm)],[4358,81,theory(equality)]) ).
cnf(4818,negated_conjecture,
( esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[945,96,theory(equality)]) ).
cnf(4827,negated_conjecture,
( esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| $false
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(rw,[status(thm)],[4818,103,theory(equality)]) ).
cnf(4828,negated_conjecture,
( esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| $false
| $false ),
inference(rw,[status(thm)],[4827,82,theory(equality)]) ).
cnf(4829,negated_conjecture,
( esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[4828,theory(equality)]) ).
cnf(4830,negated_conjecture,
esk3_2(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx,
inference(sr,[status(thm)],[4829,4359,theory(equality)]) ).
cnf(4845,negated_conjecture,
( aElementOf0(xx,xS)
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[96,4830,theory(equality)]) ).
cnf(4852,negated_conjecture,
( aElementOf0(xx,xS)
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| $false
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(rw,[status(thm)],[4845,103,theory(equality)]) ).
cnf(4853,negated_conjecture,
( aElementOf0(xx,xS)
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| $false
| $false ),
inference(rw,[status(thm)],[4852,82,theory(equality)]) ).
cnf(4854,negated_conjecture,
( aElementOf0(xx,xS)
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[4853,theory(equality)]) ).
cnf(4855,negated_conjecture,
aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(sr,[status(thm)],[4854,120,theory(equality)]) ).
cnf(4856,negated_conjecture,
$false,
inference(sr,[status(thm)],[4855,4359,theory(equality)]) ).
cnf(4857,negated_conjecture,
$false,
4856,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM536+2 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.22 % Computer : n038.star.cs.uiowa.edu
% 0.03/0.22 % Model : x86_64 x86_64
% 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22 % Memory : 32218.625MB
% 0.03/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.22 % CPULimit : 300
% 0.03/0.22 % DateTime : Fri Jan 5 07:51:59 CST 2018
% 0.03/0.23 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for []
% 0.06/0.44 -running prover on /export/starexec/sandbox/tmp/tmpgZ06Ql/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.44 -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/tmpgZ06Ql/sel_theBenchmark.p_1']
% 0.06/0.44 -prover status Theorem
% 0.06/0.44 Problem theBenchmark.p solved in phase 0.
% 0.06/0.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.44 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.44 Solved 1 out of 1.
% 0.06/0.44 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.44 # SZS status Theorem
% 0.06/0.44 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.45 # SZS output end CNFRefutation
%------------------------------------------------------------------------------