%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM612+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n104.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 0.42s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 111 ( 28 unt; 0 def)
% Number of atoms : 427 ( 26 equ)
% Maximal formula atoms : 39 ( 3 avg)
% Number of connectives : 537 ( 221 ~; 238 |; 60 &)
% ( 4 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 111 ( 0 sgn 86 !; 4 ?)
% 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/tmpjE93Q5/sel_theBenchmark.p_1',mDefSub) ).
fof(11,axiom,
( aSet0(xO)
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1',m__4891) ).
fof(19,conjecture,
( equal(szszuzczcdt0(sbrdtbr0(xP)),sbrdtbr0(xQ))
& aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1',m__) ).
fof(26,axiom,
equal(xp,szmzizndt0(xQ)),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1',m__5147) ).
fof(30,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1',mEOfElem) ).
fof(39,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aElementOf0(X2,X1) )
=> equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))),sbrdtbr0(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1',mCardDiff) ).
fof(45,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1',mSubFSet) ).
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/tmpjE93Q5/sel_theBenchmark.p_1',mDefSel) ).
fof(57,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1',m__3418) ).
fof(62,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1',mCardNum) ).
fof(65,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/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/tmpjE93Q5/sel_theBenchmark.p_1',mConsDiff) ).
fof(79,axiom,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1',m__5195) ).
fof(81,axiom,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1',m__5173) ).
fof(87,axiom,
aElementOf0(xp,xO),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1',m__5182) ).
fof(88,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1',mNATSet) ).
fof(89,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1',mFConsSet) ).
fof(96,axiom,
( aSet0(xP)
& equal(xP,sdtmndt0(xQ,szmzizndt0(xQ))) ),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1',m__5164) ).
fof(100,axiom,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
file('/export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1',m__5078) ).
fof(110,negated_conjecture,
~ ( equal(szszuzczcdt0(sbrdtbr0(xP)),sbrdtbr0(xQ))
& aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(assume_negation,[status(cth)],[19]) ).
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)],[7]) ).
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(esk2_2(X4,X5),X5)
& ~ aElementOf0(esk2_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(esk2_2(X4,X5),X5)
& ~ aElementOf0(esk2_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(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)],[152]) ).
cnf(156,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[153]) ).
cnf(175,plain,
aSet0(xO),
inference(split_conjunct,[status(thm)],[11]) ).
fof(207,negated_conjecture,
( ~ equal(szszuzczcdt0(sbrdtbr0(xP)),sbrdtbr0(xQ))
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(fof_nnf,[status(thm)],[110]) ).
cnf(208,negated_conjecture,
( ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| szszuzczcdt0(sbrdtbr0(xP)) != sbrdtbr0(xQ) ),
inference(split_conjunct,[status(thm)],[207]) ).
cnf(239,plain,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[26]) ).
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(296,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ isFinite0(X1)
| ~ aElementOf0(X2,X1)
| equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))),sbrdtbr0(X1)) ) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(297,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ isFinite0(X3)
| ~ aElementOf0(X4,X3)
| equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(X3,X4))),sbrdtbr0(X3)) ) ),
inference(variable_rename,[status(thm)],[296]) ).
fof(298,plain,
! [X3,X4] :
( ~ isFinite0(X3)
| ~ aElementOf0(X4,X3)
| equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(X3,X4))),sbrdtbr0(X3))
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[297]) ).
cnf(299,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[298]) ).
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(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(503,plain,
! [X1] :
( ~ aElement0(X1)
| ! [X2] :
( ~ aSet0(X2)
| ~ isFinite0(X2)
| isFinite0(sdtpldt0(X2,X1)) ) ),
inference(fof_nnf,[status(thm)],[89]) ).
fof(504,plain,
! [X3] :
( ~ aElement0(X3)
| ! [X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtpldt0(X4,X3)) ) ),
inference(variable_rename,[status(thm)],[503]) ).
fof(505,plain,
! [X3,X4] :
( ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(sdtpldt0(X4,X3))
| ~ aElement0(X3) ),
inference(shift_quantors,[status(thm)],[504]) ).
cnf(506,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[505]) ).
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(606,plain,
sdtmndt0(xQ,xp) = xP,
inference(rw,[status(thm)],[523,239,theory(equality)]) ).
cnf(657,plain,
( aElement0(xp)
| ~ aSet0(xO) ),
inference(spm,[status(thm)],[254,500,theory(equality)]) ).
cnf(671,plain,
( aElement0(xp)
| $false ),
inference(rw,[status(thm)],[657,175,theory(equality)]) ).
cnf(672,plain,
aElement0(xp),
inference(cn,[status(thm)],[671,theory(equality)]) ).
cnf(728,negated_conjecture,
( szszuzczcdt0(sbrdtbr0(xP)) != sbrdtbr0(xQ)
| ~ isFinite0(xP)
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[208,407,theory(equality)]) ).
cnf(732,negated_conjecture,
( szszuzczcdt0(sbrdtbr0(xP)) != sbrdtbr0(xQ)
| ~ isFinite0(xP)
| $false ),
inference(rw,[status(thm)],[728,524,theory(equality)]) ).
cnf(733,negated_conjecture,
( szszuzczcdt0(sbrdtbr0(xP)) != sbrdtbr0(xQ)
| ~ isFinite0(xP) ),
inference(cn,[status(thm)],[732,theory(equality)]) ).
cnf(762,plain,
( aSet0(xQ)
| ~ aSet0(szNzAzT0) ),
inference(spm,[status(thm)],[156,422,theory(equality)]) ).
cnf(772,plain,
( aSet0(xQ)
| $false ),
inference(rw,[status(thm)],[762,502,theory(equality)]) ).
cnf(773,plain,
aSet0(xQ),
inference(cn,[status(thm)],[772,theory(equality)]) ).
cnf(837,plain,
( isFinite0(xP)
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[319,476,theory(equality)]) ).
cnf(871,plain,
( sdtpldt0(xP,xp) = xQ
| ~ aSet0(xQ)
| ~ aElementOf0(xp,xQ) ),
inference(spm,[status(thm)],[475,606,theory(equality)]) ).
cnf(872,plain,
( sdtpldt0(xP,xp) = xQ
| ~ aSet0(xQ)
| $false ),
inference(rw,[status(thm)],[871,481,theory(equality)]) ).
cnf(873,plain,
( sdtpldt0(xP,xp) = xQ
| ~ aSet0(xQ) ),
inference(cn,[status(thm)],[872,theory(equality)]) ).
cnf(1005,plain,
( sbrdtbr0(X1) = X2
| ~ aSet0(X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X3,X2)) ),
inference(er,[status(thm)],[379,theory(equality)]) ).
cnf(1056,plain,
( szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| ~ aElementOf0(xp,xQ) ),
inference(spm,[status(thm)],[299,606,theory(equality)]) ).
cnf(1070,plain,
( szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| $false ),
inference(rw,[status(thm)],[1056,481,theory(equality)]) ).
cnf(1071,plain,
( szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(cn,[status(thm)],[1070,theory(equality)]) ).
cnf(2934,plain,
( sdtpldt0(xP,xp) = xQ
| $false ),
inference(rw,[status(thm)],[873,773,theory(equality)]) ).
cnf(2935,plain,
sdtpldt0(xP,xp) = xQ,
inference(cn,[status(thm)],[2934,theory(equality)]) ).
cnf(2938,plain,
( isFinite0(xQ)
| ~ isFinite0(xP)
| ~ aElement0(xp)
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[506,2935,theory(equality)]) ).
cnf(2950,plain,
( isFinite0(xQ)
| ~ isFinite0(xP)
| $false
| ~ aSet0(xP) ),
inference(rw,[status(thm)],[2938,672,theory(equality)]) ).
cnf(2951,plain,
( isFinite0(xQ)
| ~ isFinite0(xP)
| $false
| $false ),
inference(rw,[status(thm)],[2950,524,theory(equality)]) ).
cnf(2952,plain,
( isFinite0(xQ)
| ~ isFinite0(xP) ),
inference(cn,[status(thm)],[2951,theory(equality)]) ).
cnf(3224,plain,
( isFinite0(xP)
| ~ isFinite0(xQ)
| $false ),
inference(rw,[status(thm)],[837,773,theory(equality)]) ).
cnf(3225,plain,
( isFinite0(xP)
| ~ isFinite0(xQ) ),
inference(cn,[status(thm)],[3224,theory(equality)]) ).
cnf(3319,plain,
( szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)
| ~ isFinite0(xQ)
| $false ),
inference(rw,[status(thm)],[1071,773,theory(equality)]) ).
cnf(3320,plain,
( szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)
| ~ isFinite0(xQ) ),
inference(cn,[status(thm)],[3319,theory(equality)]) ).
cnf(3343,plain,
( ~ isFinite0(xP)
| ~ isFinite0(xQ) ),
inference(spm,[status(thm)],[733,3320,theory(equality)]) ).
cnf(3359,plain,
~ isFinite0(xP),
inference(csr,[status(thm)],[3343,2952]) ).
cnf(3361,plain,
~ isFinite0(xQ),
inference(spm,[status(thm)],[3359,3225,theory(equality)]) ).
cnf(9178,plain,
( sbrdtbr0(xQ) = xK
| ~ aSet0(xO)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(spm,[status(thm)],[1005,541,theory(equality)]) ).
cnf(9199,plain,
( sbrdtbr0(xQ) = xK
| $false
| ~ aElementOf0(xK,szNzAzT0) ),
inference(rw,[status(thm)],[9178,175,theory(equality)]) ).
cnf(9200,plain,
( sbrdtbr0(xQ) = xK
| $false
| $false ),
inference(rw,[status(thm)],[9199,384,theory(equality)]) ).
cnf(9201,plain,
sbrdtbr0(xQ) = xK,
inference(cn,[status(thm)],[9200,theory(equality)]) ).
cnf(9247,plain,
( isFinite0(xQ)
| ~ aSet0(xQ)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(spm,[status(thm)],[408,9201,theory(equality)]) ).
cnf(9278,plain,
( isFinite0(xQ)
| $false
| ~ aElementOf0(xK,szNzAzT0) ),
inference(rw,[status(thm)],[9247,773,theory(equality)]) ).
cnf(9279,plain,
( isFinite0(xQ)
| $false
| $false ),
inference(rw,[status(thm)],[9278,384,theory(equality)]) ).
cnf(9280,plain,
isFinite0(xQ),
inference(cn,[status(thm)],[9279,theory(equality)]) ).
cnf(9281,plain,
$false,
inference(sr,[status(thm)],[9280,3361,theory(equality)]) ).
cnf(9282,plain,
$false,
9281,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM612+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n104.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 10:37:15 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for []
% 0.42/0.62 -running prover on /export/starexec/sandbox2/tmp/tmpjE93Q5/sel_theBenchmark.p_1 with time limit 29
% 0.42/0.62 -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/tmpjE93Q5/sel_theBenchmark.p_1']
% 0.42/0.62 -prover status Theorem
% 0.42/0.62 Problem theBenchmark.p solved in phase 0.
% 0.42/0.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.62 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.62 Solved 1 out of 1.
% 0.42/0.62 # Problem is unsatisfiable (or provable), constructing proof object
% 0.42/0.62 # SZS status Theorem
% 0.42/0.62 # SZS output start CNFRefutation.
% See solution above
% 0.42/0.62 # SZS output end CNFRefutation
%------------------------------------------------------------------------------