TSTP Solution File: NUM534+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM534+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 15:21:41 EST 2018
% Result : Theorem 0.25s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 7
% Syntax : Number of formulae : 91 ( 13 unt; 0 def)
% Number of atoms : 546 ( 35 equ)
% Maximal formula atoms : 52 ( 6 avg)
% Number of connectives : 730 ( 275 ~; 325 |; 112 &)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 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 : 124 ( 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/tmppffvds/sel_theBenchmark.p_1',mSubASymm) ).
fof(5,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmppffvds/sel_theBenchmark.p_1',mEOfElem) ).
fof(6,axiom,
aSet0(xS),
file('/export/starexec/sandbox/tmp/tmppffvds/sel_theBenchmark.p_1',m__617) ).
fof(8,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/tmp/tmppffvds/sel_theBenchmark.p_1',m__617_02) ).
fof(9,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( equal(X3,sdtmndt0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmppffvds/sel_theBenchmark.p_1',mDefDiff) ).
fof(12,conjecture,
( ( aSet0(sdtmndt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xS,xx))
<=> ( aElement0(X1)
& aElementOf0(X1,xS)
& ~ equal(X1,xx) ) ) )
=> ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xS,xx))
| equal(X1,xx) ) ) ) )
=> equal(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ) ),
file('/export/starexec/sandbox/tmp/tmppffvds/sel_theBenchmark.p_1',m__) ).
fof(14,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmppffvds/sel_theBenchmark.p_1',mDefSub) ).
fof(20,negated_conjecture,
~ ( ( aSet0(sdtmndt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xS,xx))
<=> ( aElement0(X1)
& aElementOf0(X1,xS)
& ~ equal(X1,xx) ) ) )
=> ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xS,xx))
| equal(X1,xx) ) ) ) )
=> equal(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ) ),
inference(assume_negation,[status(cth)],[12]) ).
fof(25,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(26,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aSet0(X4)
| ~ aSubsetOf0(X3,X4)
| ~ aSubsetOf0(X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[25]) ).
cnf(27,plain,
( X1 = X2
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(34,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(35,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[34]) ).
fof(36,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[35]) ).
cnf(37,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[36]) ).
cnf(38,plain,
aSet0(xS),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(40,plain,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[8]) ).
fof(41,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElement0(X2)
| ! [X3] :
( ( ~ equal(X3,sdtmndt0(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,sdtmndt0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(42,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtmndt0(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,sdtmndt0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[41]) ).
fof(43,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtmndt0(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(esk1_3(X5,X6,X7),X7)
| ~ aElement0(esk1_3(X5,X6,X7))
| ~ aElementOf0(esk1_3(X5,X6,X7),X5)
| equal(esk1_3(X5,X6,X7),X6) )
& ( aElementOf0(esk1_3(X5,X6,X7),X7)
| ( aElement0(esk1_3(X5,X6,X7))
& aElementOf0(esk1_3(X5,X6,X7),X5)
& ~ equal(esk1_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[42]) ).
fof(44,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,sdtmndt0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk1_3(X5,X6,X7),X7)
| ~ aElement0(esk1_3(X5,X6,X7))
| ~ aElementOf0(esk1_3(X5,X6,X7),X5)
| equal(esk1_3(X5,X6,X7),X6) )
& ( aElementOf0(esk1_3(X5,X6,X7),X7)
| ( aElement0(esk1_3(X5,X6,X7))
& aElementOf0(esk1_3(X5,X6,X7),X5)
& ~ equal(esk1_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElement0(X6) ),
inference(shift_quantors,[status(thm)],[43]) ).
fof(45,plain,
! [X5,X6,X7,X8] :
( ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(X8,X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aSet0(X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk1_3(X5,X6,X7),X7)
| ~ aElement0(esk1_3(X5,X6,X7))
| ~ aElementOf0(esk1_3(X5,X6,X7),X5)
| equal(esk1_3(X5,X6,X7),X6)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk1_3(X5,X6,X7))
| aElementOf0(esk1_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk1_3(X5,X6,X7),X5)
| aElementOf0(esk1_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(esk1_3(X5,X6,X7),X6)
| aElementOf0(esk1_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[44]) ).
cnf(51,plain,
( aElementOf0(X4,X3)
| X4 = X1
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(72,negated_conjecture,
( aSet0(sdtmndt0(xS,xx))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(xS,xx))
| ( aElement0(X1)
& aElementOf0(X1,xS)
& ~ equal(X1,xx) ) )
& ( ~ aElement0(X1)
| ~ aElementOf0(X1,xS)
| equal(X1,xx)
| aElementOf0(X1,sdtmndt0(xS,xx)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xS,xx))
| equal(X1,xx) ) ) )
& ( ~ aElement0(X1)
| ( ~ aElementOf0(X1,sdtmndt0(xS,xx))
& ~ equal(X1,xx) )
| aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
& ~ equal(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(73,negated_conjecture,
( aSet0(sdtmndt0(xS,xx))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ( aElement0(X2)
& aElementOf0(X2,xS)
& ~ equal(X2,xx) ) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( aElement0(X3)
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
& ~ equal(X3,xx) )
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
& ~ equal(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(variable_rename,[status(thm)],[72]) ).
fof(74,negated_conjecture,
! [X2,X3] :
( ( ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( aElement0(X3)
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
& ~ equal(X3,xx) )
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ~ equal(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& ( ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ( aElement0(X2)
& aElementOf0(X2,xS)
& ~ equal(X2,xx) ) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(shift_quantors,[status(thm)],[73]) ).
fof(75,negated_conjecture,
! [X2,X3] :
( ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ equal(X3,xx)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ~ equal(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ equal(X2,xx)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(distribute,[status(thm)],[74]) ).
cnf(77,negated_conjecture,
( aElementOf0(X1,sdtmndt0(xS,xx))
| X1 = xx
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(79,negated_conjecture,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(80,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(81,negated_conjecture,
sdtpldt0(sdtmndt0(xS,xx),xx) != xS,
inference(split_conjunct,[status(thm)],[75]) ).
cnf(82,negated_conjecture,
aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(83,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| X1 != xx ),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(84,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(85,negated_conjecture,
( X1 = xx
| aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(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)],[14]) ).
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(121,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[37,40,theory(equality)]) ).
cnf(122,plain,
( aElement0(xx)
| $false ),
inference(rw,[status(thm)],[121,38,theory(equality)]) ).
cnf(123,plain,
aElement0(xx),
inference(cn,[status(thm)],[122,theory(equality)]) ).
cnf(154,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(csr,[status(thm)],[84,80]) ).
cnf(167,plain,
( X1 = X2
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[27,97]) ).
cnf(176,plain,
( aElement0(esk3_2(X1,X2))
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[37,96,theory(equality)]) ).
cnf(181,negated_conjecture,
( xx = esk3_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk3_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[85,96,theory(equality)]) ).
cnf(190,negated_conjecture,
( xx = esk3_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk3_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| $false
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[181,82,theory(equality)]) ).
cnf(191,negated_conjecture,
( xx = esk3_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk3_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[190,theory(equality)]) ).
cnf(192,negated_conjecture,
( aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| xx != esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| ~ aElement0(esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) ),
inference(spm,[status(thm)],[95,83,theory(equality)]) ).
cnf(194,negated_conjecture,
( aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtmndt0(xS,xx)) ),
inference(spm,[status(thm)],[95,154,theory(equality)]) ).
cnf(196,negated_conjecture,
( aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| $false
| xx != esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| ~ aElement0(esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) ),
inference(rw,[status(thm)],[192,82,theory(equality)]) ).
cnf(197,negated_conjecture,
( aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| xx != esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| ~ aElement0(esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)) ),
inference(cn,[status(thm)],[196,theory(equality)]) ).
cnf(200,negated_conjecture,
( aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| $false
| ~ aElementOf0(esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtmndt0(xS,xx)) ),
inference(rw,[status(thm)],[194,82,theory(equality)]) ).
cnf(201,negated_conjecture,
( aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X1)
| ~ aElementOf0(esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtmndt0(xS,xx)) ),
inference(cn,[status(thm)],[200,theory(equality)]) ).
cnf(203,plain,
( X1 = X4
| aElementOf0(X4,X3)
| sdtmndt0(X2,X1) != X3
| ~ aElement0(X1)
| ~ aElementOf0(X4,X2)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[51,37]) ).
cnf(204,plain,
( X1 = X2
| aElementOf0(X2,sdtmndt0(X3,X1))
| ~ aElement0(X1)
| ~ aElementOf0(X2,X3)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[203,theory(equality)]) ).
cnf(405,negated_conjecture,
( aElement0(X1)
| xx = X1
| ~ aElement0(xx)
| ~ aElementOf0(X1,xS)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[80,204,theory(equality)]) ).
cnf(417,negated_conjecture,
( aElement0(X1)
| xx = X1
| $false
| ~ aElementOf0(X1,xS)
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[405,123,theory(equality)]) ).
cnf(418,negated_conjecture,
( aElement0(X1)
| xx = X1
| $false
| ~ aElementOf0(X1,xS)
| $false ),
inference(rw,[status(thm)],[417,38,theory(equality)]) ).
cnf(419,negated_conjecture,
( aElement0(X1)
| xx = X1
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[418,theory(equality)]) ).
cnf(501,negated_conjecture,
( aElementOf0(esk3_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| esk3_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[79,191,theory(equality)]) ).
cnf(548,negated_conjecture,
( aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1) != xx
| ~ aSet0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[197,176,theory(equality)]) ).
cnf(553,negated_conjecture,
( aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1) != xx
| ~ aSet0(X1)
| $false ),
inference(rw,[status(thm)],[548,82,theory(equality)]) ).
cnf(554,negated_conjecture,
( aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1) != xx
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[553,theory(equality)]) ).
cnf(637,negated_conjecture,
( aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| xx = esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)
| ~ aSet0(X1)
| ~ aElement0(esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1))
| ~ aElementOf0(esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS) ),
inference(spm,[status(thm)],[201,77,theory(equality)]) ).
cnf(3900,negated_conjecture,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| esk3_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[95,501,theory(equality)]) ).
cnf(3913,negated_conjecture,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| esk3_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[3900,82,theory(equality)]) ).
cnf(3914,negated_conjecture,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| esk3_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx
| $false
| $false ),
inference(rw,[status(thm)],[3913,38,theory(equality)]) ).
cnf(3915,negated_conjecture,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| esk3_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx ),
inference(cn,[status(thm)],[3914,theory(equality)]) ).
cnf(4148,negated_conjecture,
( esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1) = xx
| aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[637,419]) ).
cnf(4149,negated_conjecture,
( aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk3_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[4148,554]) ).
cnf(4150,negated_conjecture,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[4149,96,theory(equality)]) ).
cnf(4159,negated_conjecture,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| $false
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(rw,[status(thm)],[4150,38,theory(equality)]) ).
cnf(4160,negated_conjecture,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| $false
| $false ),
inference(rw,[status(thm)],[4159,82,theory(equality)]) ).
cnf(4161,negated_conjecture,
aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(cn,[status(thm)],[4160,theory(equality)]) ).
cnf(4190,negated_conjecture,
( sdtpldt0(sdtmndt0(xS,xx),xx) = xS
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[167,4161,theory(equality)]) ).
cnf(4205,negated_conjecture,
( sdtpldt0(sdtmndt0(xS,xx),xx) = xS
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| $false ),
inference(rw,[status(thm)],[4190,38,theory(equality)]) ).
cnf(4206,negated_conjecture,
( sdtpldt0(sdtmndt0(xS,xx),xx) = xS
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(cn,[status(thm)],[4205,theory(equality)]) ).
cnf(4207,negated_conjecture,
~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS),
inference(sr,[status(thm)],[4206,81,theory(equality)]) ).
cnf(4478,negated_conjecture,
esk3_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx,
inference(sr,[status(thm)],[3915,4207,theory(equality)]) ).
cnf(4480,negated_conjecture,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aElementOf0(xx,xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[95,4478,theory(equality)]) ).
cnf(4490,negated_conjecture,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| $false
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[4480,40,theory(equality)]) ).
cnf(4491,negated_conjecture,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| $false
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[4490,82,theory(equality)]) ).
cnf(4492,negated_conjecture,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[4491,38,theory(equality)]) ).
cnf(4493,negated_conjecture,
aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS),
inference(cn,[status(thm)],[4492,theory(equality)]) ).
cnf(4494,negated_conjecture,
$false,
inference(sr,[status(thm)],[4493,4207,theory(equality)]) ).
cnf(4495,negated_conjecture,
$false,
4494,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM534+2 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n038.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.625MB
% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Fri Jan 5 07:45:00 CST 2018
% 0.03/0.24 % CPUTime :
% 0.07/0.29 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.29 --creating new selector for []
% 0.25/7.32 -running prover on /export/starexec/sandbox/tmp/tmppffvds/sel_theBenchmark.p_1 with time limit 29
% 0.25/7.32 -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/tmppffvds/sel_theBenchmark.p_1']
% 0.25/7.32 -prover status Theorem
% 0.25/7.32 Problem theBenchmark.p solved in phase 0.
% 0.25/7.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/7.32 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/7.32 Solved 1 out of 1.
% 0.25/7.32 # Problem is unsatisfiable (or provable), constructing proof object
% 0.25/7.32 # SZS status Theorem
% 0.25/7.32 # SZS output start CNFRefutation.
% See solution above
% 0.25/7.32 # SZS output end CNFRefutation
%------------------------------------------------------------------------------