%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM611+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n101.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 15:21:59 EST 2018
% Result : Theorem 0.70s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 25
% Syntax : Number of formulae : 174 ( 41 unt; 0 def)
% Number of atoms : 748 ( 41 equ)
% Maximal formula atoms : 52 ( 4 avg)
% Number of connectives : 965 ( 391 ~; 434 |; 110 &)
% ( 7 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-3 aty)
% Number of variables : 181 ( 0 sgn 130 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',mDefSub) ).
fof(11,axiom,
( aSet0(xO)
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',m__4891) ).
fof(15,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',mLessSucc) ).
fof(19,conjecture,
equal(sbrdtbr0(xP),xk),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',m__) ).
fof(20,axiom,
( aElementOf0(xk,szNzAzT0)
& equal(szszuzczcdt0(xk),xK) ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',m__3533) ).
fof(23,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> equal(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',mLessASymm) ).
fof(26,axiom,
equal(xp,szmzizndt0(xQ)),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',m__5147) ).
fof(27,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ equal(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',mNatNSucc) ).
fof(30,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',mEOfElem) ).
fof(32,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/tmpY2jFHz/sel_theBenchmark.p_1',mDefDiff) ).
fof(37,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',mSuccLess) ).
fof(45,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',mSubFSet) ).
fof(52,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',mLessTotal) ).
fof(55,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/tmpY2jFHz/sel_theBenchmark.p_1',mDefSel) ).
fof(57,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',m__3418) ).
fof(62,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',mCardNum) ).
fof(65,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',m__5106) ).
fof(78,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> equal(sdtpldt0(sdtmndt0(X1,X2),X2),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',mConsDiff) ).
fof(79,axiom,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',m__5195) ).
fof(81,axiom,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',m__5173) ).
fof(87,axiom,
aElementOf0(xp,xO),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',m__5182) ).
fof(88,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',mNATSet) ).
fof(92,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/tmpY2jFHz/sel_theBenchmark.p_1',mCardCons) ).
fof(96,axiom,
( aSet0(xP)
& equal(xP,sdtmndt0(xQ,szmzizndt0(xQ))) ),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',m__5164) ).
fof(100,axiom,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
file('/export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1',m__5078) ).
fof(110,negated_conjecture,
~ equal(sbrdtbr0(xP),xk),
inference(assume_negation,[status(cth)],[19]) ).
fof(112,negated_conjecture,
~ equal(sbrdtbr0(xP),xk),
inference(fof_simplification,[status(thm)],[110,theory(equality)]) ).
fof(116,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)],[92,theory(equality)]) ).
fof(150,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)],[7]) ).
fof(151,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)],[150]) ).
fof(152,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk2_2(X4,X5),X5)
& ~ aElementOf0(esk2_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(skolemize,[status(esa)],[151]) ).
fof(153,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) )
& aSet0(X5) )
| ~ aSubsetOf0(X5,X4) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk2_2(X4,X5),X5)
& ~ aElementOf0(esk2_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) )
| ~ aSet0(X4) ),
inference(shift_quantors,[status(thm)],[152]) ).
fof(154,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk2_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk2_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[153]) ).
cnf(157,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[154]) ).
cnf(176,plain,
aSet0(xO),
inference(split_conjunct,[status(thm)],[11]) ).
fof(194,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(195,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X2,szszuzczcdt0(X2)) ),
inference(variable_rename,[status(thm)],[194]) ).
cnf(196,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[195]) ).
cnf(208,negated_conjecture,
sbrdtbr0(xP) != xk,
inference(split_conjunct,[status(thm)],[112]) ).
cnf(209,plain,
szszuzczcdt0(xk) = xK,
inference(split_conjunct,[status(thm)],[20]) ).
cnf(210,plain,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[20]) ).
fof(220,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(221,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[220]) ).
cnf(222,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(239,plain,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(240,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ equal(X1,szszuzczcdt0(X1)) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(241,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ equal(X2,szszuzczcdt0(X2)) ),
inference(variable_rename,[status(thm)],[240]) ).
cnf(242,plain,
( X1 != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[241]) ).
fof(251,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(252,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[251]) ).
fof(253,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[252]) ).
cnf(254,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[253]) ).
fof(260,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)],[32]) ).
fof(261,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)],[260]) ).
fof(262,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(esk9_3(X5,X6,X7),X7)
| ~ aElement0(esk9_3(X5,X6,X7))
| ~ aElementOf0(esk9_3(X5,X6,X7),X5)
| equal(esk9_3(X5,X6,X7),X6) )
& ( aElementOf0(esk9_3(X5,X6,X7),X7)
| ( aElement0(esk9_3(X5,X6,X7))
& aElementOf0(esk9_3(X5,X6,X7),X5)
& ~ equal(esk9_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[261]) ).
fof(263,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(esk9_3(X5,X6,X7),X7)
| ~ aElement0(esk9_3(X5,X6,X7))
| ~ aElementOf0(esk9_3(X5,X6,X7),X5)
| equal(esk9_3(X5,X6,X7),X6) )
& ( aElementOf0(esk9_3(X5,X6,X7),X7)
| ( aElement0(esk9_3(X5,X6,X7))
& aElementOf0(esk9_3(X5,X6,X7),X5)
& ~ equal(esk9_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElement0(X6) ),
inference(shift_quantors,[status(thm)],[262]) ).
fof(264,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(esk9_3(X5,X6,X7),X7)
| ~ aElement0(esk9_3(X5,X6,X7))
| ~ aElementOf0(esk9_3(X5,X6,X7),X5)
| equal(esk9_3(X5,X6,X7),X6)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk9_3(X5,X6,X7))
| aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk9_3(X5,X6,X7),X5)
| aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(esk9_3(X5,X6,X7),X6)
| aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[263]) ).
cnf(271,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3)
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[264]) ).
fof(288,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ( ( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| sdtlseqdt0(X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(289,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ( ( ~ sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4)) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4))
| sdtlseqdt0(X3,X4) ) ) ),
inference(variable_rename,[status(thm)],[288]) ).
fof(290,plain,
! [X3,X4] :
( ( ~ sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4))
| sdtlseqdt0(X3,X4)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) ) ),
inference(distribute,[status(thm)],[289]) ).
cnf(291,plain,
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1)) ),
inference(split_conjunct,[status(thm)],[290]) ).
fof(316,plain,
! [X1] :
( ~ aSet0(X1)
| ~ isFinite0(X1)
| ! [X2] :
( ~ aSubsetOf0(X2,X1)
| isFinite0(X2) ) ),
inference(fof_nnf,[status(thm)],[45]) ).
fof(317,plain,
! [X3] :
( ~ aSet0(X3)
| ~ isFinite0(X3)
| ! [X4] :
( ~ aSubsetOf0(X4,X3)
| isFinite0(X4) ) ),
inference(variable_rename,[status(thm)],[316]) ).
fof(318,plain,
! [X3,X4] :
( ~ aSubsetOf0(X4,X3)
| isFinite0(X4)
| ~ aSet0(X3)
| ~ isFinite0(X3) ),
inference(shift_quantors,[status(thm)],[317]) ).
cnf(319,plain,
( isFinite0(X2)
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[318]) ).
fof(355,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(356,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X4),X3) ),
inference(variable_rename,[status(thm)],[355]) ).
cnf(357,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[356]) ).
fof(369,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)],[55]) ).
fof(370,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)],[369]) ).
fof(371,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(esk17_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk17_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk17_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk17_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[370]) ).
fof(372,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(esk17_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk17_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk17_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk17_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[371]) ).
fof(373,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(esk17_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk17_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSubsetOf0(esk17_3(X5,X6,X7),X5)
| aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6)
| aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ) ),
inference(distribute,[status(thm)],[372]) ).
cnf(379,plain,
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[373]) ).
cnf(384,plain,
aElementOf0(xK,szNzAzT0),
inference(split_conjunct,[status(thm)],[57]) ).
fof(404,plain,
! [X1] :
( ~ aSet0(X1)
| ( ( ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| isFinite0(X1) )
& ( ~ isFinite0(X1)
| aElementOf0(sbrdtbr0(X1),szNzAzT0) ) ) ),
inference(fof_nnf,[status(thm)],[62]) ).
fof(405,plain,
! [X2] :
( ~ aSet0(X2)
| ( ( ~ aElementOf0(sbrdtbr0(X2),szNzAzT0)
| isFinite0(X2) )
& ( ~ isFinite0(X2)
| aElementOf0(sbrdtbr0(X2),szNzAzT0) ) ) ),
inference(variable_rename,[status(thm)],[404]) ).
fof(406,plain,
! [X2] :
( ( ~ aElementOf0(sbrdtbr0(X2),szNzAzT0)
| isFinite0(X2)
| ~ aSet0(X2) )
& ( ~ isFinite0(X2)
| aElementOf0(sbrdtbr0(X2),szNzAzT0)
| ~ aSet0(X2) ) ),
inference(distribute,[status(thm)],[405]) ).
cnf(407,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[406]) ).
cnf(408,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[406]) ).
cnf(422,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(split_conjunct,[status(thm)],[65]) ).
fof(472,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| equal(sdtpldt0(sdtmndt0(X1,X2),X2),X1) ) ),
inference(fof_nnf,[status(thm)],[78]) ).
fof(473,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| equal(sdtpldt0(sdtmndt0(X3,X4),X4),X3) ) ),
inference(variable_rename,[status(thm)],[472]) ).
fof(474,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| equal(sdtpldt0(sdtmndt0(X3,X4),X4),X3)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[473]) ).
cnf(475,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[474]) ).
cnf(476,plain,
aSubsetOf0(xP,xQ),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(481,plain,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[81]) ).
cnf(500,plain,
aElementOf0(xp,xO),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(502,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[88]) ).
fof(509,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)],[116]) ).
fof(510,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)],[509]) ).
fof(511,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)],[510]) ).
cnf(512,plain,
( sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[511]) ).
cnf(523,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(524,plain,
aSet0(xP),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(541,plain,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(583,plain,
sdtmndt0(xQ,xp) = xP,
inference(rw,[status(thm)],[523,239,theory(equality)]) ).
cnf(610,plain,
szszuzczcdt0(xk) != xk,
inference(spm,[status(thm)],[242,210,theory(equality)]) ).
cnf(613,plain,
xK != xk,
inference(rw,[status(thm)],[610,209,theory(equality)]) ).
cnf(649,plain,
( sdtlseqdt0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(spm,[status(thm)],[196,209,theory(equality)]) ).
cnf(650,plain,
( sdtlseqdt0(xk,xK)
| $false ),
inference(rw,[status(thm)],[649,210,theory(equality)]) ).
cnf(651,plain,
sdtlseqdt0(xk,xK),
inference(cn,[status(thm)],[650,theory(equality)]) ).
cnf(669,plain,
( aSet0(xQ)
| ~ aSet0(szNzAzT0) ),
inference(spm,[status(thm)],[157,422,theory(equality)]) ).
cnf(680,plain,
( aSet0(xQ)
| $false ),
inference(rw,[status(thm)],[669,502,theory(equality)]) ).
cnf(681,plain,
aSet0(xQ),
inference(cn,[status(thm)],[680,theory(equality)]) ).
cnf(701,plain,
( aElement0(xp)
| ~ aSet0(xO) ),
inference(spm,[status(thm)],[254,500,theory(equality)]) ).
cnf(715,plain,
( aElement0(xp)
| $false ),
inference(rw,[status(thm)],[701,176,theory(equality)]) ).
cnf(716,plain,
aElement0(xp),
inference(cn,[status(thm)],[715,theory(equality)]) ).
cnf(775,plain,
( sdtpldt0(xP,xp) = xQ
| ~ aSet0(xQ)
| ~ aElementOf0(xp,xQ) ),
inference(spm,[status(thm)],[475,583,theory(equality)]) ).
cnf(776,plain,
( sdtpldt0(xP,xp) = xQ
| ~ aSet0(xQ)
| $false ),
inference(rw,[status(thm)],[775,481,theory(equality)]) ).
cnf(777,plain,
( sdtpldt0(xP,xp) = xQ
| ~ aSet0(xQ) ),
inference(cn,[status(thm)],[776,theory(equality)]) ).
cnf(798,plain,
( isFinite0(xP)
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[319,476,theory(equality)]) ).
cnf(963,plain,
( sdtmndt0(X1,X2) != X3
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X3) ),
inference(er,[status(thm)],[271,theory(equality)]) ).
cnf(1070,plain,
( sbrdtbr0(X1) = X2
| ~ aSet0(X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X3,X2)) ),
inference(er,[status(thm)],[379,theory(equality)]) ).
cnf(1082,plain,
( sdtlseqdt0(xK,X1)
| sdtlseqdt0(X1,xk)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(spm,[status(thm)],[357,209,theory(equality)]) ).
cnf(1086,plain,
( sdtlseqdt0(xK,X1)
| sdtlseqdt0(X1,xk)
| ~ aElementOf0(X1,szNzAzT0)
| $false ),
inference(rw,[status(thm)],[1082,210,theory(equality)]) ).
cnf(1087,plain,
( sdtlseqdt0(xK,X1)
| sdtlseqdt0(X1,xk)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[1086,theory(equality)]) ).
cnf(1227,plain,
( sdtlseqdt0(xk,X1)
| ~ sdtlseqdt0(xK,szszuzczcdt0(X1))
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[291,209,theory(equality)]) ).
cnf(1228,plain,
( sdtlseqdt0(X1,xk)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xK)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(spm,[status(thm)],[291,209,theory(equality)]) ).
cnf(1237,plain,
( sdtlseqdt0(xk,X1)
| ~ sdtlseqdt0(xK,szszuzczcdt0(X1))
| $false
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[1227,210,theory(equality)]) ).
cnf(1238,plain,
( sdtlseqdt0(xk,X1)
| ~ sdtlseqdt0(xK,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[1237,theory(equality)]) ).
cnf(1239,plain,
( sdtlseqdt0(X1,xk)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xK)
| ~ aElementOf0(X1,szNzAzT0)
| $false ),
inference(rw,[status(thm)],[1228,210,theory(equality)]) ).
cnf(1240,plain,
( sdtlseqdt0(X1,xk)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xK)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[1239,theory(equality)]) ).
cnf(2069,plain,
( xK = xk
| ~ sdtlseqdt0(xK,xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(spm,[status(thm)],[222,651,theory(equality)]) ).
cnf(2071,plain,
( xK = xk
| ~ sdtlseqdt0(xK,xk)
| $false
| ~ aElementOf0(xK,szNzAzT0) ),
inference(rw,[status(thm)],[2069,210,theory(equality)]) ).
cnf(2072,plain,
( xK = xk
| ~ sdtlseqdt0(xK,xk)
| $false
| $false ),
inference(rw,[status(thm)],[2071,384,theory(equality)]) ).
cnf(2073,plain,
( xK = xk
| ~ sdtlseqdt0(xK,xk) ),
inference(cn,[status(thm)],[2072,theory(equality)]) ).
cnf(2074,plain,
~ sdtlseqdt0(xK,xk),
inference(sr,[status(thm)],[2073,613,theory(equality)]) ).
cnf(2203,plain,
( sdtpldt0(xP,xp) = xQ
| $false ),
inference(rw,[status(thm)],[777,681,theory(equality)]) ).
cnf(2204,plain,
sdtpldt0(xP,xp) = xQ,
inference(cn,[status(thm)],[2203,theory(equality)]) ).
cnf(2211,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP))
| aElementOf0(xp,xP)
| ~ isFinite0(xP)
| ~ aElement0(xp)
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[512,2204,theory(equality)]) ).
cnf(2232,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP))
| aElementOf0(xp,xP)
| ~ isFinite0(xP)
| $false
| ~ aSet0(xP) ),
inference(rw,[status(thm)],[2211,716,theory(equality)]) ).
cnf(2233,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP))
| aElementOf0(xp,xP)
| ~ isFinite0(xP)
| $false
| $false ),
inference(rw,[status(thm)],[2232,524,theory(equality)]) ).
cnf(2234,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP))
| aElementOf0(xp,xP)
| ~ isFinite0(xP) ),
inference(cn,[status(thm)],[2233,theory(equality)]) ).
cnf(2673,plain,
( isFinite0(xP)
| ~ isFinite0(xQ)
| $false ),
inference(rw,[status(thm)],[798,681,theory(equality)]) ).
cnf(2674,plain,
( isFinite0(xP)
| ~ isFinite0(xQ) ),
inference(cn,[status(thm)],[2673,theory(equality)]) ).
cnf(6183,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X1)) ),
inference(er,[status(thm)],[963,theory(equality)]) ).
cnf(7161,plain,
( sdtlseqdt0(xK,xk)
| sdtlseqdt0(xK,xK) ),
inference(spm,[status(thm)],[1087,384,theory(equality)]) ).
cnf(7193,plain,
sdtlseqdt0(xK,xK),
inference(sr,[status(thm)],[7161,2074,theory(equality)]) ).
cnf(8297,plain,
( ~ aElement0(xp)
| ~ aSet0(xQ)
| ~ aElementOf0(xp,xP) ),
inference(spm,[status(thm)],[6183,583,theory(equality)]) ).
cnf(8301,plain,
( $false
| ~ aSet0(xQ)
| ~ aElementOf0(xp,xP) ),
inference(rw,[status(thm)],[8297,716,theory(equality)]) ).
cnf(8302,plain,
( $false
| $false
| ~ aElementOf0(xp,xP) ),
inference(rw,[status(thm)],[8301,681,theory(equality)]) ).
cnf(8303,plain,
~ aElementOf0(xp,xP),
inference(cn,[status(thm)],[8302,theory(equality)]) ).
cnf(8596,plain,
( sbrdtbr0(xQ) = xK
| ~ aSet0(xO)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(spm,[status(thm)],[1070,541,theory(equality)]) ).
cnf(8611,plain,
( sbrdtbr0(xQ) = xK
| $false
| ~ aElementOf0(xK,szNzAzT0) ),
inference(rw,[status(thm)],[8596,176,theory(equality)]) ).
cnf(8612,plain,
( sbrdtbr0(xQ) = xK
| $false
| $false ),
inference(rw,[status(thm)],[8611,384,theory(equality)]) ).
cnf(8613,plain,
sbrdtbr0(xQ) = xK,
inference(cn,[status(thm)],[8612,theory(equality)]) ).
cnf(8640,plain,
( isFinite0(xQ)
| ~ aSet0(xQ)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(spm,[status(thm)],[408,8613,theory(equality)]) ).
cnf(8679,plain,
( szszuzczcdt0(sbrdtbr0(xP)) = xK
| aElementOf0(xp,xP)
| ~ isFinite0(xP) ),
inference(rw,[status(thm)],[2234,8613,theory(equality)]) ).
cnf(8680,plain,
( szszuzczcdt0(sbrdtbr0(xP)) = xK
| ~ isFinite0(xP) ),
inference(sr,[status(thm)],[8679,8303,theory(equality)]) ).
cnf(8702,plain,
( isFinite0(xQ)
| $false
| ~ aElementOf0(xK,szNzAzT0) ),
inference(rw,[status(thm)],[8640,681,theory(equality)]) ).
cnf(8703,plain,
( isFinite0(xQ)
| $false
| $false ),
inference(rw,[status(thm)],[8702,384,theory(equality)]) ).
cnf(8704,plain,
isFinite0(xQ),
inference(cn,[status(thm)],[8703,theory(equality)]) ).
cnf(8797,plain,
( isFinite0(xP)
| $false ),
inference(rw,[status(thm)],[2674,8704,theory(equality)]) ).
cnf(8798,plain,
isFinite0(xP),
inference(cn,[status(thm)],[8797,theory(equality)]) ).
cnf(8919,plain,
( szszuzczcdt0(sbrdtbr0(xP)) = xK
| $false ),
inference(rw,[status(thm)],[8680,8798,theory(equality)]) ).
cnf(8920,plain,
szszuzczcdt0(sbrdtbr0(xP)) = xK,
inference(cn,[status(thm)],[8919,theory(equality)]) ).
cnf(15028,plain,
( sdtlseqdt0(xk,sbrdtbr0(xP))
| ~ sdtlseqdt0(xK,xK)
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(spm,[status(thm)],[1238,8920,theory(equality)]) ).
cnf(15045,plain,
( sdtlseqdt0(xk,sbrdtbr0(xP))
| $false
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(rw,[status(thm)],[15028,7193,theory(equality)]) ).
cnf(15046,plain,
( sdtlseqdt0(xk,sbrdtbr0(xP))
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(cn,[status(thm)],[15045,theory(equality)]) ).
cnf(15082,plain,
( sdtlseqdt0(sbrdtbr0(xP),xk)
| ~ sdtlseqdt0(xK,xK)
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(spm,[status(thm)],[1240,8920,theory(equality)]) ).
cnf(15118,plain,
( sdtlseqdt0(sbrdtbr0(xP),xk)
| $false
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(rw,[status(thm)],[15082,7193,theory(equality)]) ).
cnf(15119,plain,
( sdtlseqdt0(sbrdtbr0(xP),xk)
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(cn,[status(thm)],[15118,theory(equality)]) ).
cnf(16244,plain,
( sbrdtbr0(xP) = xk
| ~ sdtlseqdt0(sbrdtbr0(xP),xk)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(spm,[status(thm)],[222,15046,theory(equality)]) ).
cnf(16263,plain,
( sbrdtbr0(xP) = xk
| ~ sdtlseqdt0(sbrdtbr0(xP),xk)
| $false
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(rw,[status(thm)],[16244,210,theory(equality)]) ).
cnf(16264,plain,
( sbrdtbr0(xP) = xk
| ~ sdtlseqdt0(sbrdtbr0(xP),xk)
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(cn,[status(thm)],[16263,theory(equality)]) ).
cnf(16265,plain,
( ~ sdtlseqdt0(sbrdtbr0(xP),xk)
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(sr,[status(thm)],[16264,208,theory(equality)]) ).
cnf(18272,plain,
~ aElementOf0(sbrdtbr0(xP),szNzAzT0),
inference(csr,[status(thm)],[16265,15119]) ).
cnf(18274,plain,
( ~ isFinite0(xP)
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[18272,407,theory(equality)]) ).
cnf(18298,plain,
( $false
| ~ aSet0(xP) ),
inference(rw,[status(thm)],[18274,8798,theory(equality)]) ).
cnf(18299,plain,
( $false
| $false ),
inference(rw,[status(thm)],[18298,524,theory(equality)]) ).
cnf(18300,plain,
$false,
inference(cn,[status(thm)],[18299,theory(equality)]) ).
cnf(18301,plain,
$false,
18300,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM611+1 : TPTP v7.0.0. Released v4.0.0.
% 0.02/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n101.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 10:36:45 CST 2018
% 0.03/0.23 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for []
% 0.70/1.04 -running prover on /export/starexec/sandbox2/tmp/tmpY2jFHz/sel_theBenchmark.p_1 with time limit 29
% 0.70/1.04 -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/tmpY2jFHz/sel_theBenchmark.p_1']
% 0.70/1.04 -prover status Theorem
% 0.70/1.04 Problem theBenchmark.p solved in phase 0.
% 0.70/1.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/1.04 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/1.04 Solved 1 out of 1.
% 0.70/1.04 # Problem is unsatisfiable (or provable), constructing proof object
% 0.70/1.04 # SZS status Theorem
% 0.70/1.04 # SZS output start CNFRefutation.
% See solution above
% 0.70/1.05 # SZS output end CNFRefutation
%------------------------------------------------------------------------------