TSTP Solution File: NUM556+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM556+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n032.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 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 14
% Syntax : Number of formulae : 123 ( 20 unt; 0 def)
% Number of atoms : 765 ( 48 equ)
% Maximal formula atoms : 67 ( 6 avg)
% Number of connectives : 972 ( 330 ~; 344 |; 265 &)
% ( 4 <=>; 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 : 136 ( 0 sgn 107 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpDBnAsv/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/tmpDBnAsv/sel_theBenchmark.p_1',m__2270) ).
fof(10,axiom,
( aSet0(xS)
& aSet0(xT)
& ~ equal(xk,sz00) ),
file('/export/starexec/sandbox2/tmp/tmpDBnAsv/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/tmpDBnAsv/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/tmpDBnAsv/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/tmpDBnAsv/sel_theBenchmark.p_1',mCardDiff) ).
fof(24,axiom,
( ~ aElementOf0(xx,sdtmndt0(xQ,xy))
& aSet0(sdtmndt0(xQ,xy))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& ~ equal(X1,xy) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpDBnAsv/sel_theBenchmark.p_1',m__2411) ).
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/sandbox2/tmp/tmpDBnAsv/sel_theBenchmark.p_1',m__2357) ).
fof(46,axiom,
( aElement0(xy)
& aElementOf0(xy,xQ) ),
file('/export/starexec/sandbox2/tmp/tmpDBnAsv/sel_theBenchmark.p_1',m__2304) ).
fof(47,conjecture,
( ( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xS) )
| aSubsetOf0(xP,xS) )
& equal(sbrdtbr0(xP),xk) ),
file('/export/starexec/sandbox2/tmp/tmpDBnAsv/sel_theBenchmark.p_1',m__) ).
fof(52,axiom,
( aSet0(xQ)
& isFinite0(xQ)
& equal(sbrdtbr0(xQ),xk) ),
file('/export/starexec/sandbox2/tmp/tmpDBnAsv/sel_theBenchmark.p_1',m__2291) ).
fof(60,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpDBnAsv/sel_theBenchmark.p_1',mFConsSet) ).
fof(61,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/tmp/tmpDBnAsv/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/sandbox2/tmp/tmpDBnAsv/sel_theBenchmark.p_1',m__2227) ).
fof(73,negated_conjecture,
~ ( ( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xS) )
| aSubsetOf0(xP,xS) )
& equal(sbrdtbr0(xP),xk) ),
inference(assume_negation,[status(cth)],[47]) ).
fof(75,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(77,plain,
( ~ aElementOf0(xx,sdtmndt0(xQ,xy))
& aSet0(sdtmndt0(xQ,xy))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& ~ equal(X1,xy) ) ) ),
inference(fof_simplification,[status(thm)],[24,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]) ).
fof(93,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(94,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)],[93]) ).
fof(95,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)],[94]) ).
cnf(97,plain,
sbrdtbr0(xQ) = xk,
inference(split_conjunct,[status(thm)],[95]) ).
cnf(99,plain,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[95]) ).
cnf(100,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[95]) ).
cnf(129,plain,
aSet0(xS),
inference(split_conjunct,[status(thm)],[10]) ).
fof(139,plain,
! [X1,X2] :
( ~ aElement0(X1)
| ~ aSet0(X2)
| aElementOf0(X1,X2)
| equal(sdtmndt0(sdtpldt0(X2,X1),X1),X2) ),
inference(fof_nnf,[status(thm)],[75]) ).
fof(140,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aSet0(X4)
| aElementOf0(X3,X4)
| equal(sdtmndt0(sdtpldt0(X4,X3),X3),X4) ),
inference(variable_rename,[status(thm)],[139]) ).
cnf(141,plain,
( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[140]) ).
fof(148,plain,
! [X1] :
( ~ aElement0(X1)
| ! [X2] :
( ~ aSet0(X2)
| ~ isFinite0(X2)
| isFinite0(sdtmndt0(X2,X1)) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(149,plain,
! [X3] :
( ~ aElement0(X3)
| ! [X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtmndt0(X4,X3)) ) ),
inference(variable_rename,[status(thm)],[148]) ).
fof(150,plain,
! [X3,X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtmndt0(X4,X3))
| ~ aElement0(X3) ),
inference(shift_quantors,[status(thm)],[149]) ).
cnf(151,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[150]) ).
fof(181,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(182,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ isFinite0(X3)
| ~ aElementOf0(X4,X3)
| equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(X3,X4))),sbrdtbr0(X3)) ) ),
inference(variable_rename,[status(thm)],[181]) ).
fof(183,plain,
! [X3,X4] :
( ~ isFinite0(X3)
| ~ aElementOf0(X4,X3)
| equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(X3,X4))),sbrdtbr0(X3))
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[182]) ).
cnf(184,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[183]) ).
fof(189,plain,
( ~ aElementOf0(xx,sdtmndt0(xQ,xy))
& 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)) ) ) ),
inference(fof_nnf,[status(thm)],[77]) ).
fof(190,plain,
( ~ aElementOf0(xx,sdtmndt0(xQ,xy))
& 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)) ) ) ),
inference(variable_rename,[status(thm)],[189]) ).
fof(191,plain,
! [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)) )
& ~ aElementOf0(xx,sdtmndt0(xQ,xy))
& aSet0(sdtmndt0(xQ,xy)) ),
inference(shift_quantors,[status(thm)],[190]) ).
fof(192,plain,
! [X2] :
( ( 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)) )
& ~ aElementOf0(xx,sdtmndt0(xQ,xy))
& aSet0(sdtmndt0(xQ,xy)) ),
inference(distribute,[status(thm)],[191]) ).
cnf(193,plain,
aSet0(sdtmndt0(xQ,xy)),
inference(split_conjunct,[status(thm)],[192]) ).
cnf(194,plain,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(split_conjunct,[status(thm)],[192]) ).
cnf(197,plain,
( aElementOf0(X1,xQ)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
inference(split_conjunct,[status(thm)],[192]) ).
fof(267,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(268,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)],[267]) ).
fof(269,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)],[268]) ).
fof(270,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)],[269]) ).
cnf(271,plain,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(split_conjunct,[status(thm)],[270]) ).
cnf(272,plain,
aSet0(xP),
inference(split_conjunct,[status(thm)],[270]) ).
cnf(278,plain,
( aElementOf0(X1,xP)
| ~ aElement0(X1)
| X1 != xx ),
inference(split_conjunct,[status(thm)],[270]) ).
cnf(280,plain,
( X1 = xx
| aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[270]) ).
cnf(304,plain,
aElementOf0(xy,xQ),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(305,plain,
aElement0(xy),
inference(split_conjunct,[status(thm)],[46]) ).
fof(306,negated_conjecture,
( ( ? [X1] :
( aElementOf0(X1,xP)
& ~ aElementOf0(X1,xS) )
& ~ aSubsetOf0(xP,xS) )
| ~ equal(sbrdtbr0(xP),xk) ),
inference(fof_nnf,[status(thm)],[73]) ).
fof(307,negated_conjecture,
( ( ? [X2] :
( aElementOf0(X2,xP)
& ~ aElementOf0(X2,xS) )
& ~ aSubsetOf0(xP,xS) )
| ~ equal(sbrdtbr0(xP),xk) ),
inference(variable_rename,[status(thm)],[306]) ).
fof(308,negated_conjecture,
( ( aElementOf0(esk10_0,xP)
& ~ aElementOf0(esk10_0,xS)
& ~ aSubsetOf0(xP,xS) )
| ~ equal(sbrdtbr0(xP),xk) ),
inference(skolemize,[status(esa)],[307]) ).
fof(309,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) ) ),
inference(distribute,[status(thm)],[308]) ).
cnf(310,negated_conjecture,
( sbrdtbr0(xP) != xk
| ~ aSubsetOf0(xP,xS) ),
inference(split_conjunct,[status(thm)],[309]) ).
cnf(326,plain,
isFinite0(xQ),
inference(split_conjunct,[status(thm)],[52]) ).
fof(355,plain,
! [X1] :
( ~ aElement0(X1)
| ! [X2] :
( ~ aSet0(X2)
| ~ isFinite0(X2)
| isFinite0(sdtpldt0(X2,X1)) ) ),
inference(fof_nnf,[status(thm)],[60]) ).
fof(356,plain,
! [X3] :
( ~ aElement0(X3)
| ! [X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtpldt0(X4,X3)) ) ),
inference(variable_rename,[status(thm)],[355]) ).
fof(357,plain,
! [X3,X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtpldt0(X4,X3))
| ~ aElement0(X3) ),
inference(shift_quantors,[status(thm)],[356]) ).
cnf(358,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[357]) ).
cnf(359,plain,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[61]) ).
fof(405,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(406,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)],[405]) ).
fof(407,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)],[406]) ).
fof(408,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)],[407]) ).
fof(409,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)],[408]) ).
cnf(414,plain,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X1) != xk
| ~ aSet0(X1)
| ~ aElementOf0(esk13_1(X1),xS) ),
inference(split_conjunct,[status(thm)],[409]) ).
cnf(415,plain,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aElementOf0(esk13_1(X1),X1)
| sbrdtbr0(X1) != xk
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[409]) ).
cnf(417,plain,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[409]) ).
cnf(545,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[92,359,theory(equality)]) ).
cnf(556,plain,
( aElement0(xx)
| $false ),
inference(rw,[status(thm)],[545,129,theory(equality)]) ).
cnf(557,plain,
aElement0(xx),
inference(cn,[status(thm)],[556,theory(equality)]) ).
cnf(637,plain,
( aElementOf0(X1,xQ)
| xx = X1
| ~ aElementOf0(X1,xP) ),
inference(spm,[status(thm)],[197,280,theory(equality)]) ).
cnf(797,plain,
( isFinite0(xP)
| ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(spm,[status(thm)],[358,271,theory(equality)]) ).
cnf(800,plain,
( isFinite0(xP)
| ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xQ,xy))
| $false ),
inference(rw,[status(thm)],[797,193,theory(equality)]) ).
cnf(801,plain,
( isFinite0(xP)
| ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[800,theory(equality)]) ).
cnf(1035,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(spm,[status(thm)],[141,271,theory(equality)]) ).
cnf(1042,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| $false ),
inference(rw,[status(thm)],[1035,193,theory(equality)]) ).
cnf(1043,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xx) ),
inference(cn,[status(thm)],[1042,theory(equality)]) ).
cnf(1044,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| ~ aElement0(xx) ),
inference(sr,[status(thm)],[1043,194,theory(equality)]) ).
cnf(1468,plain,
aElementOf0(xx,xP),
inference(spm,[status(thm)],[278,557,theory(equality)]) ).
cnf(2316,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| $false ),
inference(rw,[status(thm)],[1044,557,theory(equality)]) ).
cnf(2317,plain,
sdtmndt0(xP,xx) = sdtmndt0(xQ,xy),
inference(cn,[status(thm)],[2316,theory(equality)]) ).
cnf(2323,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP)
| ~ isFinite0(xP)
| ~ aElementOf0(xx,xP)
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[184,2317,theory(equality)]) ).
cnf(2342,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP)
| ~ isFinite0(xP)
| $false
| ~ aSet0(xP) ),
inference(rw,[status(thm)],[2323,1468,theory(equality)]) ).
cnf(2343,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP)
| ~ isFinite0(xP)
| $false
| $false ),
inference(rw,[status(thm)],[2342,272,theory(equality)]) ).
cnf(2344,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP)
| ~ isFinite0(xP) ),
inference(cn,[status(thm)],[2343,theory(equality)]) ).
cnf(2406,plain,
( xx = esk13_1(xP)
| aElementOf0(esk13_1(xP),xQ)
| aElementOf0(xP,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xP) != xk
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[637,415,theory(equality)]) ).
cnf(2427,plain,
( xx = esk13_1(xP)
| aElementOf0(esk13_1(xP),xQ)
| aElementOf0(xP,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xP) != xk
| $false ),
inference(rw,[status(thm)],[2406,272,theory(equality)]) ).
cnf(2428,plain,
( xx = esk13_1(xP)
| aElementOf0(esk13_1(xP),xQ)
| aElementOf0(xP,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xP) != xk ),
inference(cn,[status(thm)],[2427,theory(equality)]) ).
cnf(2677,plain,
( sbrdtbr0(xP) = sbrdtbr0(xQ)
| ~ isFinite0(xQ)
| ~ aElementOf0(xy,xQ)
| ~ aSet0(xQ)
| ~ isFinite0(xP) ),
inference(spm,[status(thm)],[184,2344,theory(equality)]) ).
cnf(2686,plain,
( sbrdtbr0(xP) = xk
| ~ isFinite0(xQ)
| ~ aElementOf0(xy,xQ)
| ~ aSet0(xQ)
| ~ isFinite0(xP) ),
inference(rw,[status(thm)],[2677,97,theory(equality)]) ).
cnf(2687,plain,
( sbrdtbr0(xP) = xk
| $false
| ~ aElementOf0(xy,xQ)
| ~ aSet0(xQ)
| ~ isFinite0(xP) ),
inference(rw,[status(thm)],[2686,326,theory(equality)]) ).
cnf(2688,plain,
( sbrdtbr0(xP) = xk
| $false
| $false
| ~ aSet0(xQ)
| ~ isFinite0(xP) ),
inference(rw,[status(thm)],[2687,304,theory(equality)]) ).
cnf(2689,plain,
( sbrdtbr0(xP) = xk
| $false
| $false
| $false
| ~ isFinite0(xP) ),
inference(rw,[status(thm)],[2688,99,theory(equality)]) ).
cnf(2690,plain,
( sbrdtbr0(xP) = xk
| ~ isFinite0(xP) ),
inference(cn,[status(thm)],[2689,theory(equality)]) ).
cnf(3374,plain,
( aElementOf0(esk13_1(xP),xS)
| esk13_1(xP) = xx
| aElementOf0(xP,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xP) != xk ),
inference(spm,[status(thm)],[100,2428,theory(equality)]) ).
cnf(3401,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| esk13_1(xP) = xx
| sbrdtbr0(xP) != xk
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[414,3374,theory(equality)]) ).
cnf(3410,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| esk13_1(xP) = xx
| sbrdtbr0(xP) != xk
| $false ),
inference(rw,[status(thm)],[3401,272,theory(equality)]) ).
cnf(3411,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| esk13_1(xP) = xx
| sbrdtbr0(xP) != xk ),
inference(cn,[status(thm)],[3410,theory(equality)]) ).
cnf(3412,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xP) != xk
| ~ aElementOf0(xx,xS)
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[414,3411,theory(equality)]) ).
cnf(3414,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xP) != xk
| $false
| ~ aSet0(xP) ),
inference(rw,[status(thm)],[3412,359,theory(equality)]) ).
cnf(3415,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xP) != xk
| $false
| $false ),
inference(rw,[status(thm)],[3414,272,theory(equality)]) ).
cnf(3416,plain,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| sbrdtbr0(xP) != xk ),
inference(cn,[status(thm)],[3415,theory(equality)]) ).
cnf(3422,plain,
( aSubsetOf0(xP,xS)
| sbrdtbr0(xP) != xk ),
inference(spm,[status(thm)],[417,3416,theory(equality)]) ).
cnf(3439,plain,
sbrdtbr0(xP) != xk,
inference(csr,[status(thm)],[3422,310]) ).
cnf(3473,plain,
( isFinite0(xP)
| $false
| ~ isFinite0(sdtmndt0(xQ,xy)) ),
inference(rw,[status(thm)],[801,557,theory(equality)]) ).
cnf(3474,plain,
( isFinite0(xP)
| ~ isFinite0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[3473,theory(equality)]) ).
cnf(3476,plain,
( isFinite0(xP)
| ~ aElement0(xy)
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[3474,151,theory(equality)]) ).
cnf(3481,plain,
( isFinite0(xP)
| $false
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[3476,305,theory(equality)]) ).
cnf(3482,plain,
( isFinite0(xP)
| $false
| $false
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[3481,326,theory(equality)]) ).
cnf(3483,plain,
( isFinite0(xP)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3482,99,theory(equality)]) ).
cnf(3484,plain,
isFinite0(xP),
inference(cn,[status(thm)],[3483,theory(equality)]) ).
cnf(3507,plain,
( sbrdtbr0(xP) = xk
| $false ),
inference(rw,[status(thm)],[2690,3484,theory(equality)]) ).
cnf(3508,plain,
sbrdtbr0(xP) = xk,
inference(cn,[status(thm)],[3507,theory(equality)]) ).
cnf(3509,plain,
$false,
inference(sr,[status(thm)],[3508,3439,theory(equality)]) ).
cnf(3510,plain,
$false,
3509,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM556+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 : n032.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 08:51:45 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for []
% 0.06/0.44 -running prover on /export/starexec/sandbox2/tmp/tmpDBnAsv/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.44 -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/tmpDBnAsv/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/sandbox2/benchmark/theBenchmark.p
% 0.06/0.44 % SZS status Ended for /export/starexec/sandbox2/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
% 0.06/0.44 # SZS output end CNFRefutation
%------------------------------------------------------------------------------