TSTP Solution File: NUM558+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM558+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n082.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 15:21:47 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 15 unt; 0 def)
% Number of atoms : 508 ( 1 equ)
% Maximal formula atoms : 67 ( 9 avg)
% Number of connectives : 671 ( 215 ~; 203 |; 231 &)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 108 ( 0 sgn 85 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmpQUdc0J/sel_theBenchmark.p_1',mEOfElem) ).
fof(10,axiom,
( aSet0(xS)
& aSet0(xT)
& ~ equal(xk,sz00) ),
file('/export/starexec/sandbox/tmp/tmpQUdc0J/sel_theBenchmark.p_1',m__2202_02) ).
fof(17,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpQUdc0J/sel_theBenchmark.p_1',mDefSub) ).
fof(20,axiom,
( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xS) )
& aSubsetOf0(xP,xS)
& equal(sbrdtbr0(xP),xk)
& aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox/tmp/tmpQUdc0J/sel_theBenchmark.p_1',m__2378) ).
fof(42,axiom,
( aSet0(sdtmndt0(xQ,xy))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& ~ equal(X1,xy) ) )
& aSet0(xP)
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xQ,xy))
| equal(X1,xx) ) ) )
& equal(xP,sdtpldt0(sdtmndt0(xQ,xy),xx)) ),
file('/export/starexec/sandbox/tmp/tmpQUdc0J/sel_theBenchmark.p_1',m__2357) ).
fof(47,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox/tmp/tmpQUdc0J/sel_theBenchmark.p_1',m__) ).
fof(61,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/tmp/tmpQUdc0J/sel_theBenchmark.p_1',m__2256) ).
fof(72,axiom,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& equal(sbrdtbr0(X1),xk) )
=> aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xT,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xT) )
& aSubsetOf0(X1,xT)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xT) ) )
| aSubsetOf0(X1,xT) )
& equal(sbrdtbr0(X1),xk) )
=> aElementOf0(X1,slbdtsldtrb0(xT,xk)) ) )
& ! [X1] :
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> aElementOf0(X1,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ ( ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& equal(sbrdtbr0(X1),xk) )
=> aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
=> ( ~ ? [X1] : aElementOf0(X1,slbdtsldtrb0(xS,xk))
| equal(slbdtsldtrb0(xS,xk),slcrc0) ) ) ),
file('/export/starexec/sandbox/tmp/tmpQUdc0J/sel_theBenchmark.p_1',m__2227) ).
fof(73,negated_conjecture,
~ aElementOf0(xx,xT),
inference(assume_negation,[status(cth)],[47]) ).
fof(79,negated_conjecture,
~ aElementOf0(xx,xT),
inference(fof_simplification,[status(thm)],[73,theory(equality)]) ).
fof(89,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(90,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[89]) ).
fof(91,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[90]) ).
cnf(92,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(128,plain,
aSet0(xT),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(129,plain,
aSet0(xS),
inference(split_conjunct,[status(thm)],[10]) ).
fof(156,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)],[17]) ).
fof(157,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)],[156]) ).
fof(158,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk4_2(X4,X5),X5)
& ~ aElementOf0(esk4_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(skolemize,[status(esa)],[157]) ).
fof(159,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) )
& aSet0(X5) )
| ~ aSubsetOf0(X5,X4) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk4_2(X4,X5),X5)
& ~ aElementOf0(esk4_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) )
| ~ aSet0(X4) ),
inference(shift_quantors,[status(thm)],[158]) ).
fof(160,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk4_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk4_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[159]) ).
cnf(164,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[160]) ).
fof(175,plain,
( ! [X1] :
( ~ aElementOf0(X1,xP)
| aElementOf0(X1,xS) )
& aSubsetOf0(xP,xS)
& equal(sbrdtbr0(xP),xk)
& aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(176,plain,
( ! [X2] :
( ~ aElementOf0(X2,xP)
| aElementOf0(X2,xS) )
& aSubsetOf0(xP,xS)
& equal(sbrdtbr0(xP),xk)
& aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(variable_rename,[status(thm)],[175]) ).
fof(177,plain,
! [X2] :
( ( ~ aElementOf0(X2,xP)
| aElementOf0(X2,xS) )
& aSubsetOf0(xP,xS)
& equal(sbrdtbr0(xP),xk)
& aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(shift_quantors,[status(thm)],[176]) ).
cnf(178,plain,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[177]) ).
fof(264,plain,
( aSet0(sdtmndt0(xQ,xy))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(xQ,xy))
| ( aElement0(X1)
& aElementOf0(X1,xQ)
& ~ equal(X1,xy) ) )
& ( ~ aElement0(X1)
| ~ aElementOf0(X1,xQ)
| equal(X1,xy)
| aElementOf0(X1,sdtmndt0(xQ,xy)) ) )
& aSet0(xP)
& ! [X1] :
( ( ~ aElementOf0(X1,xP)
| ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xQ,xy))
| equal(X1,xx) ) ) )
& ( ~ aElement0(X1)
| ( ~ aElementOf0(X1,sdtmndt0(xQ,xy))
& ~ equal(X1,xx) )
| aElementOf0(X1,xP) ) )
& equal(xP,sdtpldt0(sdtmndt0(xQ,xy),xx)) ),
inference(fof_nnf,[status(thm)],[42]) ).
fof(265,plain,
( aSet0(sdtmndt0(xQ,xy))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtmndt0(xQ,xy))
| ( aElement0(X2)
& aElementOf0(X2,xQ)
& ~ equal(X2,xy) ) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xQ)
| equal(X2,xy)
| aElementOf0(X2,sdtmndt0(xQ,xy)) ) )
& aSet0(xP)
& ! [X3] :
( ( ~ aElementOf0(X3,xP)
| ( aElement0(X3)
& ( aElementOf0(X3,sdtmndt0(xQ,xy))
| equal(X3,xx) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,sdtmndt0(xQ,xy))
& ~ equal(X3,xx) )
| aElementOf0(X3,xP) ) )
& equal(xP,sdtpldt0(sdtmndt0(xQ,xy),xx)) ),
inference(variable_rename,[status(thm)],[264]) ).
fof(266,plain,
! [X2,X3] :
( ( ~ aElementOf0(X3,xP)
| ( aElement0(X3)
& ( aElementOf0(X3,sdtmndt0(xQ,xy))
| equal(X3,xx) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,sdtmndt0(xQ,xy))
& ~ equal(X3,xx) )
| aElementOf0(X3,xP) )
& ( ~ aElementOf0(X2,sdtmndt0(xQ,xy))
| ( aElement0(X2)
& aElementOf0(X2,xQ)
& ~ equal(X2,xy) ) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xQ)
| equal(X2,xy)
| aElementOf0(X2,sdtmndt0(xQ,xy)) )
& aSet0(sdtmndt0(xQ,xy))
& aSet0(xP)
& equal(xP,sdtpldt0(sdtmndt0(xQ,xy),xx)) ),
inference(shift_quantors,[status(thm)],[265]) ).
fof(267,plain,
! [X2,X3] :
( ( aElement0(X3)
| ~ aElementOf0(X3,xP) )
& ( aElementOf0(X3,sdtmndt0(xQ,xy))
| equal(X3,xx)
| ~ aElementOf0(X3,xP) )
& ( ~ aElementOf0(X3,sdtmndt0(xQ,xy))
| ~ aElement0(X3)
| aElementOf0(X3,xP) )
& ( ~ equal(X3,xx)
| ~ aElement0(X3)
| aElementOf0(X3,xP) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xQ,xy)) )
& ( aElementOf0(X2,xQ)
| ~ aElementOf0(X2,sdtmndt0(xQ,xy)) )
& ( ~ equal(X2,xy)
| ~ aElementOf0(X2,sdtmndt0(xQ,xy)) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xQ)
| equal(X2,xy)
| aElementOf0(X2,sdtmndt0(xQ,xy)) )
& aSet0(sdtmndt0(xQ,xy))
& aSet0(xP)
& equal(xP,sdtpldt0(sdtmndt0(xQ,xy),xx)) ),
inference(distribute,[status(thm)],[266]) ).
cnf(275,plain,
( aElementOf0(X1,xP)
| ~ aElement0(X1)
| X1 != xx ),
inference(split_conjunct,[status(thm)],[267]) ).
cnf(303,negated_conjecture,
~ aElementOf0(xx,xT),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(350,plain,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[61]) ).
fof(396,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xS) ) )
& ~ aSubsetOf0(X1,xS) )
| ~ equal(sbrdtbr0(X1),xk)
| aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,xT) )
& aSubsetOf0(X1,xT)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xT) ) )
& ~ aSubsetOf0(X1,xT) )
| ~ equal(sbrdtbr0(X1),xk)
| aElementOf0(X1,slbdtsldtrb0(xT,xk)) ) )
& ! [X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aElementOf0(X1,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xk) ) )
& ( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xS) ) )
& ~ aSubsetOf0(X1,xS) )
| ~ equal(sbrdtbr0(X1),xk)
| aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& ? [X1] : aElementOf0(X1,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0) ),
inference(fof_nnf,[status(thm)],[72]) ).
fof(397,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(xS,xk))
| ( aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xk) ) )
& ( ( ( ~ aSet0(X3)
| ? [X5] :
( aElementOf0(X5,X3)
& ~ aElementOf0(X5,xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X6] :
( ( ~ aElementOf0(X6,slbdtsldtrb0(xT,xk))
| ( aSet0(X6)
& ! [X7] :
( ~ aElementOf0(X7,X6)
| aElementOf0(X7,xT) )
& aSubsetOf0(X6,xT)
& equal(sbrdtbr0(X6),xk) ) )
& ( ( ( ~ aSet0(X6)
| ? [X8] :
( aElementOf0(X8,X6)
& ~ aElementOf0(X8,xT) ) )
& ~ aSubsetOf0(X6,xT) )
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) ) )
& ! [X9] :
( ~ aElementOf0(X9,slbdtsldtrb0(xS,xk))
| aElementOf0(X9,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X10] :
( ( ~ aElementOf0(X10,slbdtsldtrb0(xS,xk))
| ( aSet0(X10)
& ! [X11] :
( ~ aElementOf0(X11,X10)
| aElementOf0(X11,xS) )
& aSubsetOf0(X10,xS)
& equal(sbrdtbr0(X10),xk) ) )
& ( ( ( ~ aSet0(X10)
| ? [X12] :
( aElementOf0(X12,X10)
& ~ aElementOf0(X12,xS) ) )
& ~ aSubsetOf0(X10,xS) )
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) ) )
& ? [X13] : aElementOf0(X13,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0) ),
inference(variable_rename,[status(thm)],[396]) ).
fof(398,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(xS,xk))
| ( aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xk) ) )
& ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk12_1(X3),X3)
& ~ aElementOf0(esk12_1(X3),xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X6] :
( ( ~ aElementOf0(X6,slbdtsldtrb0(xT,xk))
| ( aSet0(X6)
& ! [X7] :
( ~ aElementOf0(X7,X6)
| aElementOf0(X7,xT) )
& aSubsetOf0(X6,xT)
& equal(sbrdtbr0(X6),xk) ) )
& ( ( ( ~ aSet0(X6)
| ( aElementOf0(esk13_1(X6),X6)
& ~ aElementOf0(esk13_1(X6),xT) ) )
& ~ aSubsetOf0(X6,xT) )
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) ) )
& ! [X9] :
( ~ aElementOf0(X9,slbdtsldtrb0(xS,xk))
| aElementOf0(X9,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X10] :
( ( ~ aElementOf0(X10,slbdtsldtrb0(xS,xk))
| ( aSet0(X10)
& ! [X11] :
( ~ aElementOf0(X11,X10)
| aElementOf0(X11,xS) )
& aSubsetOf0(X10,xS)
& equal(sbrdtbr0(X10),xk) ) )
& ( ( ( ~ aSet0(X10)
| ( aElementOf0(esk14_1(X10),X10)
& ~ aElementOf0(esk14_1(X10),xS) ) )
& ~ aSubsetOf0(X10,xS) )
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) ) )
& aElementOf0(esk15_0,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0) ),
inference(skolemize,[status(esa)],[397]) ).
fof(399,plain,
! [X3,X4,X6,X7,X9,X10,X11] :
( ( ( ( ~ aElementOf0(X11,X10)
| aElementOf0(X11,xS) )
& aSet0(X10)
& aSubsetOf0(X10,xS)
& equal(sbrdtbr0(X10),xk) )
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( ( ( ~ aSet0(X10)
| ( aElementOf0(esk14_1(X10),X10)
& ~ aElementOf0(esk14_1(X10),xS) ) )
& ~ aSubsetOf0(X10,xS) )
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& aElementOf0(esk15_0,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0)
& ( ~ aElementOf0(X9,slbdtsldtrb0(xS,xk))
| aElementOf0(X9,slbdtsldtrb0(xT,xk)) )
& ( ( ( ~ aElementOf0(X7,X6)
| aElementOf0(X7,xT) )
& aSet0(X6)
& aSubsetOf0(X6,xT)
& equal(sbrdtbr0(X6),xk) )
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ( ( ~ aSet0(X6)
| ( aElementOf0(esk13_1(X6),X6)
& ~ aElementOf0(esk13_1(X6),xT) ) )
& ~ aSubsetOf0(X6,xT) )
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ( ( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSet0(X3)
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xk) )
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk12_1(X3),X3)
& ~ aElementOf0(esk12_1(X3),xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& aSet0(slbdtsldtrb0(xS,xk))
& aSet0(slbdtsldtrb0(xT,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) ),
inference(shift_quantors,[status(thm)],[398]) ).
fof(400,plain,
! [X3,X4,X6,X7,X9,X10,X11] :
( ( ~ aElementOf0(X11,X10)
| aElementOf0(X11,xS)
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( aSet0(X10)
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X10,xS)
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( equal(sbrdtbr0(X10),xk)
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk14_1(X10),X10)
| ~ aSet0(X10)
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk14_1(X10),xS)
| ~ aSet0(X10)
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X10,xS)
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& aElementOf0(esk15_0,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0)
& ( ~ aElementOf0(X9,slbdtsldtrb0(xS,xk))
| aElementOf0(X9,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X7,X6)
| aElementOf0(X7,xT)
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( aSet0(X6)
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( aSubsetOf0(X6,xT)
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( equal(sbrdtbr0(X6),xk)
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(esk13_1(X6),X6)
| ~ aSet0(X6)
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(esk13_1(X6),xT)
| ~ aSet0(X6)
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ~ aSubsetOf0(X6,xT)
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( aSet0(X3)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X3,xS)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( equal(sbrdtbr0(X3),xk)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk12_1(X3),X3)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk12_1(X3),xS)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X3,xS)
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& aSet0(slbdtsldtrb0(xS,xk))
& aSet0(slbdtsldtrb0(xT,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) ),
inference(distribute,[status(thm)],[399]) ).
cnf(415,plain,
( aSubsetOf0(X1,xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xT,xk)) ),
inference(split_conjunct,[status(thm)],[400]) ).
cnf(418,plain,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[400]) ).
cnf(481,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[92,350,theory(equality)]) ).
cnf(489,plain,
( aElement0(xx)
| $false ),
inference(rw,[status(thm)],[481,129,theory(equality)]) ).
cnf(490,plain,
aElement0(xx),
inference(cn,[status(thm)],[489,theory(equality)]) ).
cnf(583,plain,
( aSubsetOf0(X1,xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(spm,[status(thm)],[415,418,theory(equality)]) ).
cnf(1474,plain,
aElementOf0(xx,xP),
inference(spm,[status(thm)],[275,490,theory(equality)]) ).
cnf(2189,plain,
aSubsetOf0(xP,xT),
inference(spm,[status(thm)],[583,178,theory(equality)]) ).
cnf(2234,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,xP)
| ~ aSet0(xT) ),
inference(spm,[status(thm)],[164,2189,theory(equality)]) ).
cnf(2244,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,xP)
| $false ),
inference(rw,[status(thm)],[2234,128,theory(equality)]) ).
cnf(2245,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,xP) ),
inference(cn,[status(thm)],[2244,theory(equality)]) ).
cnf(2327,plain,
aElementOf0(xx,xT),
inference(spm,[status(thm)],[2245,1474,theory(equality)]) ).
cnf(2347,plain,
$false,
inference(sr,[status(thm)],[2327,303,theory(equality)]) ).
cnf(2348,plain,
$false,
2347,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM558+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n082.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 : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 08:50:30 CST 2018
% 0.02/0.24 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 --creating new selector for []
% 0.06/0.40 -running prover on /export/starexec/sandbox/tmp/tmpQUdc0J/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.40 -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/tmpQUdc0J/sel_theBenchmark.p_1']
% 0.06/0.40 -prover status Theorem
% 0.06/0.40 Problem theBenchmark.p solved in phase 0.
% 0.06/0.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.40 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.40 Solved 1 out of 1.
% 0.06/0.40 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.40 # SZS status Theorem
% 0.06/0.40 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.41 # SZS output end CNFRefutation
%------------------------------------------------------------------------------