TSTP Solution File: NUM554+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM554+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n065.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 15:21:46 EST 2018
% Result : Theorem 0.66s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 14
% Syntax : Number of formulae : 119 ( 24 unt; 0 def)
% Number of atoms : 715 ( 50 equ)
% Maximal formula atoms : 67 ( 6 avg)
% Number of connectives : 897 ( 301 ~; 324 |; 241 &)
% ( 2 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-2 aty)
% Number of variables : 129 ( 0 sgn 101 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1',mEOfElem) ).
fof(5,axiom,
( aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xS) )
& aSubsetOf0(xQ,xS)
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1',m__2270) ).
fof(10,axiom,
( aSet0(xS)
& aSet0(xT)
& ~ equal(xk,sz00) ),
file('/export/starexec/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1',m__2202_02) ).
fof(12,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> equal(sdtmndt0(sdtpldt0(X2,X1),X1),X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1',mDiffCons) ).
fof(15,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1',mFDiffSet) ).
fof(22,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aElementOf0(X2,X1) )
=> equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))),sbrdtbr0(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1',mCardDiff) ).
fof(26,axiom,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1',m__2338) ).
fof(41,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/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1',m__2357) ).
fof(45,axiom,
( aElement0(xy)
& aElementOf0(xy,xQ) ),
file('/export/starexec/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1',m__2304) ).
fof(46,conjecture,
( ( ( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xS) )
| aSubsetOf0(xP,xS) )
& equal(sbrdtbr0(xP),xk) )
| aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1',m__) ).
fof(51,axiom,
( aSet0(xQ)
& isFinite0(xQ)
& equal(sbrdtbr0(xQ),xk) ),
file('/export/starexec/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1',m__2291) ).
fof(59,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1',mFConsSet) ).
fof(60,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1',m__2256) ).
fof(71,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/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1',m__2227) ).
fof(72,negated_conjecture,
~ ( ( ( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xS) )
| aSubsetOf0(xP,xS) )
& equal(sbrdtbr0(xP),xk) )
| aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(assume_negation,[status(cth)],[46]) ).
fof(74,plain,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> equal(sdtmndt0(sdtpldt0(X2,X1),X1),X2) ) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(76,plain,
~ aElementOf0(xx,xQ),
inference(fof_simplification,[status(thm)],[26,theory(equality)]) ).
fof(87,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(88,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[87]) ).
fof(89,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[88]) ).
cnf(90,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[89]) ).
fof(91,plain,
( aSet0(xQ)
& ! [X1] :
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,xS) )
& aSubsetOf0(xQ,xS)
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(92,plain,
( aSet0(xQ)
& ! [X2] :
( ~ aElementOf0(X2,xQ)
| aElementOf0(X2,xS) )
& aSubsetOf0(xQ,xS)
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
inference(variable_rename,[status(thm)],[91]) ).
fof(93,plain,
! [X2] :
( ( ~ aElementOf0(X2,xQ)
| aElementOf0(X2,xS) )
& aSet0(xQ)
& aSubsetOf0(xQ,xS)
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
inference(shift_quantors,[status(thm)],[92]) ).
cnf(95,plain,
sbrdtbr0(xQ) = xk,
inference(split_conjunct,[status(thm)],[93]) ).
cnf(97,plain,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[93]) ).
cnf(98,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[93]) ).
cnf(127,plain,
aSet0(xS),
inference(split_conjunct,[status(thm)],[10]) ).
fof(137,plain,
! [X1,X2] :
( ~ aElement0(X1)
| ~ aSet0(X2)
| aElementOf0(X1,X2)
| equal(sdtmndt0(sdtpldt0(X2,X1),X1),X2) ),
inference(fof_nnf,[status(thm)],[74]) ).
fof(138,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aSet0(X4)
| aElementOf0(X3,X4)
| equal(sdtmndt0(sdtpldt0(X4,X3),X3),X4) ),
inference(variable_rename,[status(thm)],[137]) ).
cnf(139,plain,
( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[138]) ).
fof(146,plain,
! [X1] :
( ~ aElement0(X1)
| ! [X2] :
( ~ aSet0(X2)
| ~ isFinite0(X2)
| isFinite0(sdtmndt0(X2,X1)) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(147,plain,
! [X3] :
( ~ aElement0(X3)
| ! [X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtmndt0(X4,X3)) ) ),
inference(variable_rename,[status(thm)],[146]) ).
fof(148,plain,
! [X3,X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtmndt0(X4,X3))
| ~ aElement0(X3) ),
inference(shift_quantors,[status(thm)],[147]) ).
cnf(149,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[148]) ).
fof(179,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ isFinite0(X1)
| ~ aElementOf0(X2,X1)
| equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))),sbrdtbr0(X1)) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(180,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ isFinite0(X3)
| ~ aElementOf0(X4,X3)
| equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(X3,X4))),sbrdtbr0(X3)) ) ),
inference(variable_rename,[status(thm)],[179]) ).
fof(181,plain,
! [X3,X4] :
( ~ isFinite0(X3)
| ~ aElementOf0(X4,X3)
| equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(X3,X4))),sbrdtbr0(X3))
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[180]) ).
cnf(182,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(193,plain,
~ aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[76]) ).
fof(255,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)],[41]) ).
fof(256,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)],[255]) ).
fof(257,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)],[256]) ).
fof(258,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)],[257]) ).
cnf(259,plain,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(split_conjunct,[status(thm)],[258]) ).
cnf(260,plain,
aSet0(xP),
inference(split_conjunct,[status(thm)],[258]) ).
cnf(261,plain,
aSet0(sdtmndt0(xQ,xy)),
inference(split_conjunct,[status(thm)],[258]) ).
cnf(264,plain,
( aElementOf0(X1,xQ)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
inference(split_conjunct,[status(thm)],[258]) ).
cnf(266,plain,
( aElementOf0(X1,xP)
| ~ aElement0(X1)
| X1 != xx ),
inference(split_conjunct,[status(thm)],[258]) ).
cnf(268,plain,
( X1 = xx
| aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[258]) ).
cnf(292,plain,
aElementOf0(xy,xQ),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(293,plain,
aElement0(xy),
inference(split_conjunct,[status(thm)],[45]) ).
fof(294,negated_conjecture,
( ( ( ? [X1] :
( aElementOf0(X1,xP)
& ~ aElementOf0(X1,xS) )
& ~ aSubsetOf0(xP,xS) )
| ~ equal(sbrdtbr0(xP),xk) )
& ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(fof_nnf,[status(thm)],[72]) ).
fof(295,negated_conjecture,
( ( ( ? [X2] :
( aElementOf0(X2,xP)
& ~ aElementOf0(X2,xS) )
& ~ aSubsetOf0(xP,xS) )
| ~ equal(sbrdtbr0(xP),xk) )
& ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(variable_rename,[status(thm)],[294]) ).
fof(296,negated_conjecture,
( ( ( aElementOf0(esk10_0,xP)
& ~ aElementOf0(esk10_0,xS)
& ~ aSubsetOf0(xP,xS) )
| ~ equal(sbrdtbr0(xP),xk) )
& ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(skolemize,[status(esa)],[295]) ).
fof(297,negated_conjecture,
( ( aElementOf0(esk10_0,xP)
| ~ equal(sbrdtbr0(xP),xk) )
& ( ~ aElementOf0(esk10_0,xS)
| ~ equal(sbrdtbr0(xP),xk) )
& ( ~ aSubsetOf0(xP,xS)
| ~ equal(sbrdtbr0(xP),xk) )
& ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(distribute,[status(thm)],[296]) ).
cnf(298,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[297]) ).
cnf(315,plain,
isFinite0(xQ),
inference(split_conjunct,[status(thm)],[51]) ).
fof(344,plain,
! [X1] :
( ~ aElement0(X1)
| ! [X2] :
( ~ aSet0(X2)
| ~ isFinite0(X2)
| isFinite0(sdtpldt0(X2,X1)) ) ),
inference(fof_nnf,[status(thm)],[59]) ).
fof(345,plain,
! [X3] :
( ~ aElement0(X3)
| ! [X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtpldt0(X4,X3)) ) ),
inference(variable_rename,[status(thm)],[344]) ).
fof(346,plain,
! [X3,X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtpldt0(X4,X3))
| ~ aElement0(X3) ),
inference(shift_quantors,[status(thm)],[345]) ).
cnf(347,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[346]) ).
cnf(348,plain,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[60]) ).
fof(394,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)],[71]) ).
fof(395,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)],[394]) ).
fof(396,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(esk13_1(X3),X3)
& ~ aElementOf0(esk13_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(esk14_1(X6),X6)
& ~ aElementOf0(esk14_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(esk15_1(X10),X10)
& ~ aElementOf0(esk15_1(X10),xS) ) )
& ~ aSubsetOf0(X10,xS) )
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) ) )
& aElementOf0(esk16_0,slbdtsldtrb0(xS,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0) ),
inference(skolemize,[status(esa)],[395]) ).
fof(397,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(esk15_1(X10),X10)
& ~ aElementOf0(esk15_1(X10),xS) ) )
& ~ aSubsetOf0(X10,xS) )
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& aElementOf0(esk16_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(esk14_1(X6),X6)
& ~ aElementOf0(esk14_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(esk13_1(X3),X3)
& ~ aElementOf0(esk13_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)],[396]) ).
fof(398,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(esk15_1(X10),X10)
| ~ aSet0(X10)
| ~ equal(sbrdtbr0(X10),xk)
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk15_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(esk16_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(esk14_1(X6),X6)
| ~ aSet0(X6)
| ~ equal(sbrdtbr0(X6),xk)
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(esk14_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(esk13_1(X3),X3)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xk)
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk13_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)],[397]) ).
cnf(403,plain,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| ~ aSet0(X1)
| ~ aElementOf0(esk13_1(X1),xS) ),
inference(split_conjunct,[status(thm)],[398]) ).
cnf(404,plain,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aElementOf0(esk13_1(X1),X1)
| sbrdtbr0(X1) != xk
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[398]) ).
cnf(538,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[90,348,theory(equality)]) ).
cnf(550,plain,
( aElement0(xx)
| $false ),
inference(rw,[status(thm)],[538,127,theory(equality)]) ).
cnf(551,plain,
aElement0(xx),
inference(cn,[status(thm)],[550,theory(equality)]) ).
cnf(718,plain,
( aElementOf0(X1,xQ)
| xx = X1
| ~ aElementOf0(X1,xP) ),
inference(spm,[status(thm)],[264,268,theory(equality)]) ).
cnf(830,plain,
( isFinite0(xP)
| ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(spm,[status(thm)],[347,259,theory(equality)]) ).
cnf(832,plain,
( isFinite0(xP)
| ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xQ,xy))
| $false ),
inference(rw,[status(thm)],[830,261,theory(equality)]) ).
cnf(833,plain,
( isFinite0(xP)
| ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[832,theory(equality)]) ).
cnf(1044,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(spm,[status(thm)],[139,259,theory(equality)]) ).
cnf(1051,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| $false ),
inference(rw,[status(thm)],[1044,261,theory(equality)]) ).
cnf(1052,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xx) ),
inference(cn,[status(thm)],[1051,theory(equality)]) ).
cnf(1493,plain,
aElementOf0(xx,xP),
inference(spm,[status(thm)],[266,551,theory(equality)]) ).
cnf(2823,plain,
( xx = esk13_1(xP)
| aElementOf0(esk13_1(xP),xQ)
| aElementOf0(xP,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xP) != xk
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[718,404,theory(equality)]) ).
cnf(2847,plain,
( xx = esk13_1(xP)
| aElementOf0(esk13_1(xP),xQ)
| aElementOf0(xP,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xP) != xk
| $false ),
inference(rw,[status(thm)],[2823,260,theory(equality)]) ).
cnf(2848,plain,
( xx = esk13_1(xP)
| aElementOf0(esk13_1(xP),xQ)
| aElementOf0(xP,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xP) != xk ),
inference(cn,[status(thm)],[2847,theory(equality)]) ).
cnf(2849,plain,
( esk13_1(xP) = xx
| aElementOf0(esk13_1(xP),xQ)
| sbrdtbr0(xP) != xk ),
inference(sr,[status(thm)],[2848,298,theory(equality)]) ).
cnf(2927,plain,
( aElementOf0(esk13_1(xP),xS)
| esk13_1(xP) = xx
| sbrdtbr0(xP) != xk ),
inference(spm,[status(thm)],[98,2849,theory(equality)]) ).
cnf(3057,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| esk13_1(xP) = xx
| sbrdtbr0(xP) != xk
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[403,2927,theory(equality)]) ).
cnf(3066,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| esk13_1(xP) = xx
| sbrdtbr0(xP) != xk
| $false ),
inference(rw,[status(thm)],[3057,260,theory(equality)]) ).
cnf(3067,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| esk13_1(xP) = xx
| sbrdtbr0(xP) != xk ),
inference(cn,[status(thm)],[3066,theory(equality)]) ).
cnf(3068,plain,
( esk13_1(xP) = xx
| sbrdtbr0(xP) != xk ),
inference(sr,[status(thm)],[3067,298,theory(equality)]) ).
cnf(3069,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xP) != xk
| ~ aElementOf0(xx,xS)
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[403,3068,theory(equality)]) ).
cnf(3071,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xP) != xk
| $false
| ~ aSet0(xP) ),
inference(rw,[status(thm)],[3069,348,theory(equality)]) ).
cnf(3072,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xP) != xk
| $false
| $false ),
inference(rw,[status(thm)],[3071,260,theory(equality)]) ).
cnf(3073,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xP) != xk ),
inference(cn,[status(thm)],[3072,theory(equality)]) ).
cnf(3074,plain,
sbrdtbr0(xP) != xk,
inference(sr,[status(thm)],[3073,298,theory(equality)]) ).
cnf(3951,plain,
( isFinite0(xP)
| $false
| ~ isFinite0(sdtmndt0(xQ,xy)) ),
inference(rw,[status(thm)],[833,551,theory(equality)]) ).
cnf(3952,plain,
( isFinite0(xP)
| ~ isFinite0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[3951,theory(equality)]) ).
cnf(3954,plain,
( isFinite0(xP)
| ~ aElement0(xy)
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[3952,149,theory(equality)]) ).
cnf(3958,plain,
( isFinite0(xP)
| $false
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[3954,293,theory(equality)]) ).
cnf(3959,plain,
( isFinite0(xP)
| $false
| $false
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[3958,315,theory(equality)]) ).
cnf(3960,plain,
( isFinite0(xP)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3959,97,theory(equality)]) ).
cnf(3961,plain,
isFinite0(xP),
inference(cn,[status(thm)],[3960,theory(equality)]) ).
cnf(15551,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| $false ),
inference(rw,[status(thm)],[1052,551,theory(equality)]) ).
cnf(15552,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[15551,theory(equality)]) ).
cnf(15557,plain,
( aElementOf0(xx,xQ)
| sdtmndt0(xP,xx) = sdtmndt0(xQ,xy) ),
inference(spm,[status(thm)],[264,15552,theory(equality)]) ).
cnf(15580,plain,
sdtmndt0(xP,xx) = sdtmndt0(xQ,xy),
inference(sr,[status(thm)],[15557,193,theory(equality)]) ).
cnf(15607,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP)
| ~ isFinite0(xP)
| ~ aElementOf0(xx,xP)
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[182,15580,theory(equality)]) ).
cnf(15657,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP)
| $false
| ~ aElementOf0(xx,xP)
| ~ aSet0(xP) ),
inference(rw,[status(thm)],[15607,3961,theory(equality)]) ).
cnf(15658,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP)
| $false
| $false
| ~ aSet0(xP) ),
inference(rw,[status(thm)],[15657,1493,theory(equality)]) ).
cnf(15659,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[15658,260,theory(equality)]) ).
cnf(15660,plain,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP),
inference(cn,[status(thm)],[15659,theory(equality)]) ).
cnf(15820,plain,
( sbrdtbr0(xP) = sbrdtbr0(xQ)
| ~ isFinite0(xQ)
| ~ aElementOf0(xy,xQ)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[182,15660,theory(equality)]) ).
cnf(15872,plain,
( sbrdtbr0(xP) = xk
| ~ isFinite0(xQ)
| ~ aElementOf0(xy,xQ)
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[15820,95,theory(equality)]) ).
cnf(15873,plain,
( sbrdtbr0(xP) = xk
| $false
| ~ aElementOf0(xy,xQ)
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[15872,315,theory(equality)]) ).
cnf(15874,plain,
( sbrdtbr0(xP) = xk
| $false
| $false
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[15873,292,theory(equality)]) ).
cnf(15875,plain,
( sbrdtbr0(xP) = xk
| $false
| $false
| $false ),
inference(rw,[status(thm)],[15874,97,theory(equality)]) ).
cnf(15876,plain,
sbrdtbr0(xP) = xk,
inference(cn,[status(thm)],[15875,theory(equality)]) ).
cnf(15877,plain,
$false,
inference(sr,[status(thm)],[15876,3074,theory(equality)]) ).
cnf(15878,plain,
$false,
15877,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM554+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n065.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 09:56:59 CST 2018
% 0.03/0.23 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for []
% 0.66/0.95 -running prover on /export/starexec/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1 with time limit 29
% 0.66/0.95 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmp4yewNY/sel_theBenchmark.p_1']
% 0.66/0.95 -prover status Theorem
% 0.66/0.95 Problem theBenchmark.p solved in phase 0.
% 0.66/0.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.95 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.95 Solved 1 out of 1.
% 0.66/0.95 # Problem is unsatisfiable (or provable), constructing proof object
% 0.66/0.95 # SZS status Theorem
% 0.66/0.95 # SZS output start CNFRefutation.
% See solution above
% 0.66/0.96 # SZS output end CNFRefutation
%------------------------------------------------------------------------------