%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM556+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n092.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 19.06s
% Output : CNFRefutation 19.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 17
% Syntax : Number of formulae : 152 ( 25 unt; 0 def)
% Number of atoms : 870 ( 50 equ)
% Maximal formula atoms : 54 ( 5 avg)
% Number of connectives : 1169 ( 451 ~; 542 |; 150 &)
% ( 7 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 195 ( 0 sgn 124 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpY9VBay/sel_theBenchmark.p_1',mEOfElem) ).
fof(5,axiom,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/tmp/tmpY9VBay/sel_theBenchmark.p_1',m__2270) ).
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/sandbox2/tmp/tmpY9VBay/sel_theBenchmark.p_1',mDefDiff) ).
fof(10,axiom,
( aSet0(xS)
& aSet0(xT)
& ~ equal(xk,sz00) ),
file('/export/starexec/sandbox2/tmp/tmpY9VBay/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/tmpY9VBay/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/tmpY9VBay/sel_theBenchmark.p_1',mFDiffSet) ).
fof(17,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpY9VBay/sel_theBenchmark.p_1',mDefSub) ).
fof(24,axiom,
( ~ aElementOf0(xx,sdtmndt0(xQ,xy))
& equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))),xk) ),
file('/export/starexec/sandbox2/tmp/tmpY9VBay/sel_theBenchmark.p_1',m__2411) ).
fof(42,axiom,
equal(xP,sdtpldt0(sdtmndt0(xQ,xy),xx)),
file('/export/starexec/sandbox2/tmp/tmpY9VBay/sel_theBenchmark.p_1',m__2357) ).
fof(46,axiom,
( aElement0(xy)
& aElementOf0(xy,xQ) ),
file('/export/starexec/sandbox2/tmp/tmpY9VBay/sel_theBenchmark.p_1',m__2304) ).
fof(47,conjecture,
( aSubsetOf0(xP,xS)
& equal(sbrdtbr0(xP),xk) ),
file('/export/starexec/sandbox2/tmp/tmpY9VBay/sel_theBenchmark.p_1',m__) ).
fof(52,axiom,
( aSet0(xQ)
& isFinite0(xQ)
& equal(sbrdtbr0(xQ),xk) ),
file('/export/starexec/sandbox2/tmp/tmpY9VBay/sel_theBenchmark.p_1',m__2291) ).
fof(53,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( equal(X3,slbdtsldtrb0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpY9VBay/sel_theBenchmark.p_1',mDefSel) ).
fof(59,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpY9VBay/sel_theBenchmark.p_1',m__2202) ).
fof(61,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/tmp/tmpY9VBay/sel_theBenchmark.p_1',m__2256) ).
fof(65,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( equal(X3,sdtpldt0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| equal(X4,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpY9VBay/sel_theBenchmark.p_1',mDefCons) ).
fof(67,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> equal(sbrdtbr0(sdtpldt0(X1,X2)),szszuzczcdt0(sbrdtbr0(X1))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpY9VBay/sel_theBenchmark.p_1',mCardCons) ).
fof(73,negated_conjecture,
~ ( 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))
& equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))),xk) ),
inference(fof_simplification,[status(thm)],[24,theory(equality)]) ).
fof(81,plain,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> equal(sbrdtbr0(sdtpldt0(X1,X2)),szszuzczcdt0(sbrdtbr0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[67,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(93,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[5]) ).
fof(106,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(107,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)],[106]) ).
fof(108,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(esk2_3(X5,X6,X7),X7)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X5)
| equal(esk2_3(X5,X6,X7),X6) )
& ( aElementOf0(esk2_3(X5,X6,X7),X7)
| ( aElement0(esk2_3(X5,X6,X7))
& aElementOf0(esk2_3(X5,X6,X7),X5)
& ~ equal(esk2_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[107]) ).
fof(109,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(esk2_3(X5,X6,X7),X7)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X5)
| equal(esk2_3(X5,X6,X7),X6) )
& ( aElementOf0(esk2_3(X5,X6,X7),X7)
| ( aElement0(esk2_3(X5,X6,X7))
& aElementOf0(esk2_3(X5,X6,X7),X5)
& ~ equal(esk2_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElement0(X6) ),
inference(shift_quantors,[status(thm)],[108]) ).
fof(110,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(esk2_3(X5,X6,X7),X7)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X5)
| equal(esk2_3(X5,X6,X7),X6)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk2_3(X5,X6,X7))
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk2_3(X5,X6,X7),X5)
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(esk2_3(X5,X6,X7),X6)
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[109]) ).
cnf(115,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[110]) ).
cnf(118,plain,
( aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[110]) ).
cnf(122,plain,
aSet0(xS),
inference(split_conjunct,[status(thm)],[10]) ).
fof(132,plain,
! [X1,X2] :
( ~ aElement0(X1)
| ~ aSet0(X2)
| aElementOf0(X1,X2)
| equal(sdtmndt0(sdtpldt0(X2,X1),X1),X2) ),
inference(fof_nnf,[status(thm)],[75]) ).
fof(133,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aSet0(X4)
| aElementOf0(X3,X4)
| equal(sdtmndt0(sdtpldt0(X4,X3),X3),X4) ),
inference(variable_rename,[status(thm)],[132]) ).
cnf(134,plain,
( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[133]) ).
fof(141,plain,
! [X1] :
( ~ aElement0(X1)
| ! [X2] :
( ~ aSet0(X2)
| ~ isFinite0(X2)
| isFinite0(sdtmndt0(X2,X1)) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(142,plain,
! [X3] :
( ~ aElement0(X3)
| ! [X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtmndt0(X4,X3)) ) ),
inference(variable_rename,[status(thm)],[141]) ).
fof(143,plain,
! [X3,X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtmndt0(X4,X3))
| ~ aElement0(X3) ),
inference(shift_quantors,[status(thm)],[142]) ).
cnf(144,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[143]) ).
fof(149,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(150,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)],[149]) ).
fof(151,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)],[150]) ).
fof(152,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)],[151]) ).
fof(153,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)],[152]) ).
cnf(154,plain,
( aSubsetOf0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[153]) ).
cnf(155,plain,
( aSubsetOf0(X2,X1)
| aElementOf0(esk4_2(X1,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[153]) ).
cnf(157,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[153]) ).
cnf(182,plain,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = xk,
inference(split_conjunct,[status(thm)],[77]) ).
cnf(183,plain,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(split_conjunct,[status(thm)],[77]) ).
cnf(252,plain,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(split_conjunct,[status(thm)],[42]) ).
cnf(276,plain,
aElement0(xy),
inference(split_conjunct,[status(thm)],[46]) ).
fof(277,negated_conjecture,
( ~ aSubsetOf0(xP,xS)
| ~ equal(sbrdtbr0(xP),xk) ),
inference(fof_nnf,[status(thm)],[73]) ).
cnf(278,negated_conjecture,
( sbrdtbr0(xP) != xk
| ~ aSubsetOf0(xP,xS) ),
inference(split_conjunct,[status(thm)],[277]) ).
cnf(292,plain,
isFinite0(xQ),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(293,plain,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[52]) ).
fof(294,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| ! [X3] :
( ( ~ equal(X3,slbdtsldtrb0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) )
& ( ~ aSubsetOf0(X4,X1)
| ~ equal(sbrdtbr0(X4),X2)
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aSubsetOf0(X4,X1)
| ~ equal(sbrdtbr0(X4),X2) )
& ( aElementOf0(X4,X3)
| ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) ) )
| equal(X3,slbdtsldtrb0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[53]) ).
fof(295,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0)
| ! [X7] :
( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aSubsetOf0(X9,X5)
| ~ equal(sbrdtbr0(X9),X6) )
& ( aElementOf0(X9,X7)
| ( aSubsetOf0(X9,X5)
& equal(sbrdtbr0(X9),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[294]) ).
fof(296,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0)
| ! [X7] :
( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk10_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk10_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk10_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[295]) ).
fof(297,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,slbdtsldtrb0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk10_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk10_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk10_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[296]) ).
fof(298,plain,
! [X5,X6,X7,X8] :
( ( aSubsetOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(X8),X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSet0(X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk10_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSubsetOf0(esk10_3(X5,X6,X7),X5)
| aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6)
| aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ) ),
inference(distribute,[status(thm)],[297]) ).
cnf(305,plain,
( aSubsetOf0(X4,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[298]) ).
cnf(320,plain,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[59]) ).
cnf(325,plain,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[61]) ).
fof(335,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElement0(X2)
| ! [X3] :
( ( ~ equal(X3,sdtpldt0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aElement0(X4)
& ( aElementOf0(X4,X1)
| equal(X4,X2) ) ) )
& ( ~ aElement0(X4)
| ( ~ aElementOf0(X4,X1)
& ~ equal(X4,X2) )
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aElement0(X4)
| ( ~ aElementOf0(X4,X1)
& ~ equal(X4,X2) ) )
& ( aElementOf0(X4,X3)
| ( aElement0(X4)
& ( aElementOf0(X4,X1)
| equal(X4,X2) ) ) ) )
| equal(X3,sdtpldt0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[65]) ).
fof(336,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtpldt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& ( aElementOf0(X8,X5)
| equal(X8,X6) ) ) )
& ( ~ aElement0(X8)
| ( ~ aElementOf0(X8,X5)
& ~ equal(X8,X6) )
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aElement0(X9)
| ( ~ aElementOf0(X9,X5)
& ~ equal(X9,X6) ) )
& ( aElementOf0(X9,X7)
| ( aElement0(X9)
& ( aElementOf0(X9,X5)
| equal(X9,X6) ) ) ) )
| equal(X7,sdtpldt0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[335]) ).
fof(337,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtpldt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& ( aElementOf0(X8,X5)
| equal(X8,X6) ) ) )
& ( ~ aElement0(X8)
| ( ~ aElementOf0(X8,X5)
& ~ equal(X8,X6) )
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aElement0(esk11_3(X5,X6,X7))
| ( ~ aElementOf0(esk11_3(X5,X6,X7),X5)
& ~ equal(esk11_3(X5,X6,X7),X6) ) )
& ( aElementOf0(esk11_3(X5,X6,X7),X7)
| ( aElement0(esk11_3(X5,X6,X7))
& ( aElementOf0(esk11_3(X5,X6,X7),X5)
| equal(esk11_3(X5,X6,X7),X6) ) ) ) )
| equal(X7,sdtpldt0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[336]) ).
fof(338,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& ( aElementOf0(X8,X5)
| equal(X8,X6) ) ) )
& ( ~ aElement0(X8)
| ( ~ aElementOf0(X8,X5)
& ~ equal(X8,X6) )
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,sdtpldt0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aElement0(esk11_3(X5,X6,X7))
| ( ~ aElementOf0(esk11_3(X5,X6,X7),X5)
& ~ equal(esk11_3(X5,X6,X7),X6) ) )
& ( aElementOf0(esk11_3(X5,X6,X7),X7)
| ( aElement0(esk11_3(X5,X6,X7))
& ( aElementOf0(esk11_3(X5,X6,X7),X5)
| equal(esk11_3(X5,X6,X7),X6) ) ) ) )
| equal(X7,sdtpldt0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElement0(X6) ),
inference(shift_quantors,[status(thm)],[337]) ).
fof(339,plain,
! [X5,X6,X7,X8] :
( ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| equal(X8,X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(X8,X5)
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(X8,X6)
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aSet0(X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk11_3(X5,X6,X7),X5)
| ~ aElement0(esk11_3(X5,X6,X7))
| ~ aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(esk11_3(X5,X6,X7),X6)
| ~ aElement0(esk11_3(X5,X6,X7))
| ~ aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk11_3(X5,X6,X7))
| aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk11_3(X5,X6,X7),X5)
| equal(esk11_3(X5,X6,X7),X6)
| aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[338]) ).
cnf(344,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[339]) ).
cnf(347,plain,
( X4 = X1
| aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[339]) ).
fof(353,plain,
! [X1] :
( ~ aSet0(X1)
| ~ isFinite0(X1)
| ! [X2] :
( ~ aElement0(X2)
| aElementOf0(X2,X1)
| equal(sbrdtbr0(sdtpldt0(X1,X2)),szszuzczcdt0(sbrdtbr0(X1))) ) ),
inference(fof_nnf,[status(thm)],[81]) ).
fof(354,plain,
! [X3] :
( ~ aSet0(X3)
| ~ isFinite0(X3)
| ! [X4] :
( ~ aElement0(X4)
| aElementOf0(X4,X3)
| equal(sbrdtbr0(sdtpldt0(X3,X4)),szszuzczcdt0(sbrdtbr0(X3))) ) ),
inference(variable_rename,[status(thm)],[353]) ).
fof(355,plain,
! [X3,X4] :
( ~ aElement0(X4)
| aElementOf0(X4,X3)
| equal(sbrdtbr0(sdtpldt0(X3,X4)),szszuzczcdt0(sbrdtbr0(X3)))
| ~ aSet0(X3)
| ~ isFinite0(X3) ),
inference(shift_quantors,[status(thm)],[354]) ).
cnf(356,plain,
( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[355]) ).
cnf(416,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[92,325,theory(equality)]) ).
cnf(424,plain,
( aElement0(xx)
| $false ),
inference(rw,[status(thm)],[416,122,theory(equality)]) ).
cnf(425,plain,
aElement0(xx),
inference(cn,[status(thm)],[424,theory(equality)]) ).
cnf(469,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[115,theory(equality)]) ).
cnf(480,plain,
( aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[344,theory(equality)]) ).
cnf(581,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(spm,[status(thm)],[134,252,theory(equality)]) ).
cnf(587,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(sr,[status(thm)],[581,183,theory(equality)]) ).
cnf(595,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[305,theory(equality)]) ).
cnf(620,plain,
( aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[118,theory(equality)]) ).
cnf(659,plain,
( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(spm,[status(thm)],[356,252,theory(equality)]) ).
cnf(668,plain,
( sbrdtbr0(xP) = xk
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(rw,[status(thm)],[659,182,theory(equality)]) ).
cnf(669,plain,
( sbrdtbr0(xP) = xk
| ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(sr,[status(thm)],[668,183,theory(equality)]) ).
cnf(717,plain,
( X1 = X2
| aElementOf0(X2,X3)
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt0(X3,X1))
| ~ aSet0(X3) ),
inference(er,[status(thm)],[347,theory(equality)]) ).
cnf(1281,plain,
( aSet0(xP)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(spm,[status(thm)],[480,252,theory(equality)]) ).
cnf(1283,plain,
( aSet0(xP)
| $false
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(rw,[status(thm)],[1281,425,theory(equality)]) ).
cnf(1284,plain,
( aSet0(xP)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[1283,theory(equality)]) ).
cnf(1287,plain,
( aSet0(xP)
| ~ aElement0(xy)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[1284,469,theory(equality)]) ).
cnf(1288,plain,
( aSet0(xP)
| $false
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[1287,276,theory(equality)]) ).
cnf(1289,plain,
( aSet0(xP)
| $false
| $false ),
inference(rw,[status(thm)],[1288,293,theory(equality)]) ).
cnf(1290,plain,
aSet0(xP),
inference(cn,[status(thm)],[1289,theory(equality)]) ).
cnf(1582,plain,
( sbrdtbr0(xP) = xk
| $false
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(rw,[status(thm)],[669,425,theory(equality)]) ).
cnf(1583,plain,
( sbrdtbr0(xP) = xk
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[1582,theory(equality)]) ).
cnf(1584,plain,
( sbrdtbr0(xP) = xk
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xy)
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[1583,144,theory(equality)]) ).
cnf(1586,plain,
( sbrdtbr0(xP) = xk
| ~ aSet0(sdtmndt0(xQ,xy))
| $false
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[1584,276,theory(equality)]) ).
cnf(1587,plain,
( sbrdtbr0(xP) = xk
| ~ aSet0(sdtmndt0(xQ,xy))
| $false
| $false
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[1586,292,theory(equality)]) ).
cnf(1588,plain,
( sbrdtbr0(xP) = xk
| ~ aSet0(sdtmndt0(xQ,xy))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1587,293,theory(equality)]) ).
cnf(1589,plain,
( sbrdtbr0(xP) = xk
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[1588,theory(equality)]) ).
cnf(1591,plain,
( sbrdtbr0(xP) = xk
| ~ aElement0(xy)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[1589,469,theory(equality)]) ).
cnf(1593,plain,
( sbrdtbr0(xP) = xk
| $false
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[1591,276,theory(equality)]) ).
cnf(1594,plain,
( sbrdtbr0(xP) = xk
| $false
| $false ),
inference(rw,[status(thm)],[1593,293,theory(equality)]) ).
cnf(1595,plain,
sbrdtbr0(xP) = xk,
inference(cn,[status(thm)],[1594,theory(equality)]) ).
cnf(1611,negated_conjecture,
( $false
| ~ aSubsetOf0(xP,xS) ),
inference(rw,[status(thm)],[278,1595,theory(equality)]) ).
cnf(1612,negated_conjecture,
~ aSubsetOf0(xP,xS),
inference(cn,[status(thm)],[1611,theory(equality)]) ).
cnf(2734,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| $false
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(rw,[status(thm)],[587,425,theory(equality)]) ).
cnf(2735,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(cn,[status(thm)],[2734,theory(equality)]) ).
cnf(2737,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| ~ aElement0(xy)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[2735,469,theory(equality)]) ).
cnf(2739,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| $false
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[2737,276,theory(equality)]) ).
cnf(2740,plain,
( sdtmndt0(xP,xx) = sdtmndt0(xQ,xy)
| $false
| $false ),
inference(rw,[status(thm)],[2739,293,theory(equality)]) ).
cnf(2741,plain,
sdtmndt0(xP,xx) = sdtmndt0(xQ,xy),
inference(cn,[status(thm)],[2740,theory(equality)]) ).
cnf(2756,plain,
( aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[469,2741,theory(equality)]) ).
cnf(2789,plain,
( aSet0(sdtmndt0(xQ,xy))
| $false
| ~ aSet0(xP) ),
inference(rw,[status(thm)],[2756,425,theory(equality)]) ).
cnf(2790,plain,
( aSet0(sdtmndt0(xQ,xy))
| $false
| $false ),
inference(rw,[status(thm)],[2789,1290,theory(equality)]) ).
cnf(2791,plain,
aSet0(sdtmndt0(xQ,xy)),
inference(cn,[status(thm)],[2790,theory(equality)]) ).
cnf(5636,plain,
( aSubsetOf0(xQ,xS)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[595,93,theory(equality)]) ).
cnf(5646,plain,
( aSubsetOf0(xQ,xS)
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[5636,320,theory(equality)]) ).
cnf(5647,plain,
( aSubsetOf0(xQ,xS)
| $false
| $false ),
inference(rw,[status(thm)],[5646,122,theory(equality)]) ).
cnf(5648,plain,
aSubsetOf0(xQ,xS),
inference(cn,[status(thm)],[5647,theory(equality)]) ).
cnf(5655,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[157,5648,theory(equality)]) ).
cnf(5669,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ)
| $false ),
inference(rw,[status(thm)],[5655,122,theory(equality)]) ).
cnf(5670,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ) ),
inference(cn,[status(thm)],[5669,theory(equality)]) ).
cnf(5757,plain,
( aSubsetOf0(X1,xS)
| ~ aSet0(X1)
| ~ aSet0(xS)
| ~ aElementOf0(esk4_2(xS,X1),xQ) ),
inference(spm,[status(thm)],[154,5670,theory(equality)]) ).
cnf(5770,plain,
( aSubsetOf0(X1,xS)
| ~ aSet0(X1)
| $false
| ~ aElementOf0(esk4_2(xS,X1),xQ) ),
inference(rw,[status(thm)],[5757,122,theory(equality)]) ).
cnf(5771,plain,
( aSubsetOf0(X1,xS)
| ~ aSet0(X1)
| ~ aElementOf0(esk4_2(xS,X1),xQ) ),
inference(cn,[status(thm)],[5770,theory(equality)]) ).
cnf(11932,plain,
( xx = X1
| aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ aElementOf0(X1,xP)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(spm,[status(thm)],[717,252,theory(equality)]) ).
cnf(11945,plain,
( xx = X1
| aElementOf0(X1,sdtmndt0(xQ,xy))
| $false
| ~ aElementOf0(X1,xP)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(rw,[status(thm)],[11932,425,theory(equality)]) ).
cnf(11946,plain,
( xx = X1
| aElementOf0(X1,sdtmndt0(xQ,xy))
| $false
| ~ aElementOf0(X1,xP)
| $false ),
inference(rw,[status(thm)],[11945,2791,theory(equality)]) ).
cnf(11947,plain,
( xx = X1
| aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElementOf0(X1,xP) ),
inference(cn,[status(thm)],[11946,theory(equality)]) ).
cnf(14712,plain,
( aElementOf0(X1,xQ)
| xx = X1
| ~ aElement0(xy)
| ~ aSet0(xQ)
| ~ aElementOf0(X1,xP) ),
inference(spm,[status(thm)],[620,11947,theory(equality)]) ).
cnf(14737,plain,
( aElementOf0(X1,xQ)
| xx = X1
| $false
| ~ aSet0(xQ)
| ~ aElementOf0(X1,xP) ),
inference(rw,[status(thm)],[14712,276,theory(equality)]) ).
cnf(14738,plain,
( aElementOf0(X1,xQ)
| xx = X1
| $false
| $false
| ~ aElementOf0(X1,xP) ),
inference(rw,[status(thm)],[14737,293,theory(equality)]) ).
cnf(14739,plain,
( aElementOf0(X1,xQ)
| xx = X1
| ~ aElementOf0(X1,xP) ),
inference(cn,[status(thm)],[14738,theory(equality)]) ).
cnf(14780,plain,
( xx = esk4_2(X1,xP)
| aElementOf0(esk4_2(X1,xP),xQ)
| aSubsetOf0(xP,X1)
| ~ aSet0(xP)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[14739,155,theory(equality)]) ).
cnf(14800,plain,
( xx = esk4_2(X1,xP)
| aElementOf0(esk4_2(X1,xP),xQ)
| aSubsetOf0(xP,X1)
| $false
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[14780,1290,theory(equality)]) ).
cnf(14801,plain,
( xx = esk4_2(X1,xP)
| aElementOf0(esk4_2(X1,xP),xQ)
| aSubsetOf0(xP,X1)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[14800,theory(equality)]) ).
cnf(466994,plain,
( aSubsetOf0(xP,xS)
| esk4_2(xS,xP) = xx
| ~ aSet0(xP)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[5771,14801,theory(equality)]) ).
cnf(467029,plain,
( aSubsetOf0(xP,xS)
| esk4_2(xS,xP) = xx
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[466994,1290,theory(equality)]) ).
cnf(467030,plain,
( aSubsetOf0(xP,xS)
| esk4_2(xS,xP) = xx
| $false
| $false ),
inference(rw,[status(thm)],[467029,122,theory(equality)]) ).
cnf(467031,plain,
( aSubsetOf0(xP,xS)
| esk4_2(xS,xP) = xx ),
inference(cn,[status(thm)],[467030,theory(equality)]) ).
cnf(467032,plain,
esk4_2(xS,xP) = xx,
inference(sr,[status(thm)],[467031,1612,theory(equality)]) ).
cnf(467072,plain,
( aSubsetOf0(xP,xS)
| ~ aElementOf0(xx,xS)
| ~ aSet0(xP)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[154,467032,theory(equality)]) ).
cnf(467107,plain,
( aSubsetOf0(xP,xS)
| $false
| ~ aSet0(xP)
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[467072,325,theory(equality)]) ).
cnf(467108,plain,
( aSubsetOf0(xP,xS)
| $false
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[467107,1290,theory(equality)]) ).
cnf(467109,plain,
( aSubsetOf0(xP,xS)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[467108,122,theory(equality)]) ).
cnf(467110,plain,
aSubsetOf0(xP,xS),
inference(cn,[status(thm)],[467109,theory(equality)]) ).
cnf(467111,plain,
$false,
inference(sr,[status(thm)],[467110,1612,theory(equality)]) ).
cnf(467112,plain,
$false,
467111,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM556+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.24 % Computer : n092.star.cs.uiowa.edu
% 0.02/0.24 % Model : x86_64 x86_64
% 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24 % Memory : 32218.625MB
% 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.24 % CPULimit : 300
% 0.02/0.24 % DateTime : Fri Jan 5 08:45:15 CST 2018
% 0.02/0.24 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for []
% 19.06/19.31 -running prover on /export/starexec/sandbox2/tmp/tmpY9VBay/sel_theBenchmark.p_1 with time limit 29
% 19.06/19.31 -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/tmpY9VBay/sel_theBenchmark.p_1']
% 19.06/19.31 -prover status Theorem
% 19.06/19.31 Problem theBenchmark.p solved in phase 0.
% 19.06/19.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.06/19.31 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.06/19.31 Solved 1 out of 1.
% 19.06/19.31 # Problem is unsatisfiable (or provable), constructing proof object
% 19.06/19.31 # SZS status Theorem
% 19.06/19.31 # SZS output start CNFRefutation.
% See solution above
% 19.06/19.31 # SZS output end CNFRefutation
%------------------------------------------------------------------------------