TSTP Solution File: NUM564+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM564+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n124.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 15:21:48 EST 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 12
% Syntax : Number of formulae : 102 ( 24 unt; 0 def)
% Number of atoms : 429 ( 38 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 547 ( 220 ~; 241 |; 71 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 113 ( 0 sgn 71 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(14,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
file('/export/starexec/sandbox2/tmp/tmpZpFs6Z/sel_theBenchmark.p_1',mCountNFin) ).
fof(15,axiom,
( aFunction0(xc)
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox2/tmp/tmpZpFs6Z/sel_theBenchmark.p_1',m__3453) ).
fof(18,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpZpFs6Z/sel_theBenchmark.p_1',mDefSub) ).
fof(27,axiom,
equal(xK,sz00),
file('/export/starexec/sandbox2/tmp/tmpZpFs6Z/sel_theBenchmark.p_1',m__3462) ).
fof(36,axiom,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> ~ equal(slbdtsldtrb0(X1,X2),slcrc0) ) ),
file('/export/starexec/sandbox2/tmp/tmpZpFs6Z/sel_theBenchmark.p_1',mSelNSet) ).
fof(40,axiom,
! [X1] :
( equal(X1,slcrc0)
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpZpFs6Z/sel_theBenchmark.p_1',mDefEmp) ).
fof(45,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpZpFs6Z/sel_theBenchmark.p_1',mZeroNum) ).
fof(60,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/tmpZpFs6Z/sel_theBenchmark.p_1',mDefSel) ).
fof(61,axiom,
! [X1] :
( aSet0(X1)
=> ( equal(sbrdtbr0(X1),sz00)
<=> equal(X1,slcrc0) ) ),
file('/export/starexec/sandbox2/tmp/tmpZpFs6Z/sel_theBenchmark.p_1',mCardEmpty) ).
fof(62,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmpZpFs6Z/sel_theBenchmark.p_1',mNATSet) ).
fof(65,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/tmp/tmpZpFs6Z/sel_theBenchmark.p_1',m__3435) ).
fof(75,conjecture,
aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
file('/export/starexec/sandbox2/tmp/tmpZpFs6Z/sel_theBenchmark.p_1',m__) ).
fof(80,negated_conjecture,
~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(assume_negation,[status(cth)],[75]) ).
fof(83,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(84,plain,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> ~ equal(slbdtsldtrb0(X1,X2),slcrc0) ) ),
inference(fof_simplification,[status(thm)],[36,theory(equality)]) ).
fof(86,negated_conjecture,
~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(fof_simplification,[status(thm)],[80,theory(equality)]) ).
fof(148,plain,
! [X1] :
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(fof_nnf,[status(thm)],[83]) ).
fof(149,plain,
! [X2] :
( ~ aSet0(X2)
| ~ isCountable0(X2)
| ~ isFinite0(X2) ),
inference(variable_rename,[status(thm)],[148]) ).
cnf(150,plain,
( ~ isFinite0(X1)
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(152,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(split_conjunct,[status(thm)],[15]) ).
fof(162,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)],[18]) ).
fof(163,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)],[162]) ).
fof(164,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)],[163]) ).
fof(165,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)],[164]) ).
fof(166,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)],[165]) ).
cnf(169,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[166]) ).
cnf(210,plain,
xK = sz00,
inference(split_conjunct,[status(thm)],[27]) ).
fof(261,plain,
! [X1] :
( ~ aSet0(X1)
| isFinite0(X1)
| ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ equal(slbdtsldtrb0(X1,X2),slcrc0) ) ),
inference(fof_nnf,[status(thm)],[84]) ).
fof(262,plain,
! [X3] :
( ~ aSet0(X3)
| isFinite0(X3)
| ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ equal(slbdtsldtrb0(X3,X4),slcrc0) ) ),
inference(variable_rename,[status(thm)],[261]) ).
fof(263,plain,
! [X3,X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ equal(slbdtsldtrb0(X3,X4),slcrc0)
| ~ aSet0(X3)
| isFinite0(X3) ),
inference(shift_quantors,[status(thm)],[262]) ).
cnf(264,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| slbdtsldtrb0(X1,X2) != slcrc0
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[263]) ).
fof(276,plain,
! [X1] :
( ( ~ equal(X1,slcrc0)
| ( aSet0(X1)
& ! [X2] : ~ aElementOf0(X2,X1) ) )
& ( ~ aSet0(X1)
| ? [X2] : aElementOf0(X2,X1)
| equal(X1,slcrc0) ) ),
inference(fof_nnf,[status(thm)],[40]) ).
fof(277,plain,
! [X3] :
( ( ~ equal(X3,slcrc0)
| ( aSet0(X3)
& ! [X4] : ~ aElementOf0(X4,X3) ) )
& ( ~ aSet0(X3)
| ? [X5] : aElementOf0(X5,X3)
| equal(X3,slcrc0) ) ),
inference(variable_rename,[status(thm)],[276]) ).
fof(278,plain,
! [X3] :
( ( ~ equal(X3,slcrc0)
| ( aSet0(X3)
& ! [X4] : ~ aElementOf0(X4,X3) ) )
& ( ~ aSet0(X3)
| aElementOf0(esk13_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(skolemize,[status(esa)],[277]) ).
fof(279,plain,
! [X3,X4] :
( ( ( ~ aElementOf0(X4,X3)
& aSet0(X3) )
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk13_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(shift_quantors,[status(thm)],[278]) ).
fof(280,plain,
! [X3,X4] :
( ( ~ aElementOf0(X4,X3)
| ~ equal(X3,slcrc0) )
& ( aSet0(X3)
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk13_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(distribute,[status(thm)],[279]) ).
cnf(281,plain,
( X1 = slcrc0
| aElementOf0(esk13_1(X1),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[280]) ).
cnf(295,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[45]) ).
fof(363,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)],[60]) ).
fof(364,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)],[363]) ).
fof(365,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(esk19_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk19_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk19_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk19_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk19_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk19_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[364]) ).
fof(366,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(esk19_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk19_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk19_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk19_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk19_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk19_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[365]) ).
fof(367,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(esk19_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk19_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk19_3(X5,X6,X7)),X6)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSubsetOf0(esk19_3(X5,X6,X7),X5)
| aElementOf0(esk19_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(esk19_3(X5,X6,X7)),X6)
| aElementOf0(esk19_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ) ),
inference(distribute,[status(thm)],[366]) ).
cnf(371,plain,
( aSet0(X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1) ),
inference(split_conjunct,[status(thm)],[367]) ).
cnf(373,plain,
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[367]) ).
cnf(374,plain,
( aSubsetOf0(X4,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[367]) ).
fof(375,plain,
! [X1] :
( ~ aSet0(X1)
| ( ( ~ equal(sbrdtbr0(X1),sz00)
| equal(X1,slcrc0) )
& ( ~ equal(X1,slcrc0)
| equal(sbrdtbr0(X1),sz00) ) ) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(376,plain,
! [X2] :
( ~ aSet0(X2)
| ( ( ~ equal(sbrdtbr0(X2),sz00)
| equal(X2,slcrc0) )
& ( ~ equal(X2,slcrc0)
| equal(sbrdtbr0(X2),sz00) ) ) ),
inference(variable_rename,[status(thm)],[375]) ).
fof(377,plain,
! [X2] :
( ( ~ equal(sbrdtbr0(X2),sz00)
| equal(X2,slcrc0)
| ~ aSet0(X2) )
& ( ~ equal(X2,slcrc0)
| equal(sbrdtbr0(X2),sz00)
| ~ aSet0(X2) ) ),
inference(distribute,[status(thm)],[376]) ).
cnf(379,plain,
( X1 = slcrc0
| ~ aSet0(X1)
| sbrdtbr0(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[377]) ).
cnf(381,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(388,plain,
isCountable0(xS),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(389,plain,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(431,negated_conjecture,
~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(456,plain,
slbdtsldtrb0(xS,sz00) = szDzozmdt0(xc),
inference(rw,[status(thm)],[152,210,theory(equality)]) ).
cnf(457,negated_conjecture,
~ aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(rw,[status(thm)],[431,456,theory(equality)]) ).
cnf(481,plain,
( ~ isFinite0(xS)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[150,388,theory(equality)]) ).
cnf(495,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(spm,[status(thm)],[169,389,theory(equality)]) ).
cnf(498,plain,
( aSet0(xS)
| $false ),
inference(rw,[status(thm)],[495,381,theory(equality)]) ).
cnf(499,plain,
aSet0(xS),
inference(cn,[status(thm)],[498,theory(equality)]) ).
cnf(548,plain,
( isFinite0(xS)
| szDzozmdt0(xc) != slcrc0
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[264,456,theory(equality)]) ).
cnf(549,plain,
( isFinite0(xS)
| szDzozmdt0(xc) != slcrc0
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[548,295,theory(equality)]) ).
cnf(550,plain,
( isFinite0(xS)
| szDzozmdt0(xc) != slcrc0
| ~ aSet0(xS) ),
inference(cn,[status(thm)],[549,theory(equality)]) ).
cnf(551,plain,
( aSet0(slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[371,theory(equality)]) ).
cnf(599,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X3,X2))
| ~ aSet0(X3) ),
inference(er,[status(thm)],[373,theory(equality)]) ).
cnf(624,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[374,theory(equality)]) ).
cnf(1004,plain,
( ~ isFinite0(xS)
| $false ),
inference(rw,[status(thm)],[481,499,theory(equality)]) ).
cnf(1005,plain,
~ isFinite0(xS),
inference(cn,[status(thm)],[1004,theory(equality)]) ).
cnf(1219,plain,
( isFinite0(xS)
| szDzozmdt0(xc) != slcrc0
| $false ),
inference(rw,[status(thm)],[550,499,theory(equality)]) ).
cnf(1220,plain,
( isFinite0(xS)
| szDzozmdt0(xc) != slcrc0 ),
inference(cn,[status(thm)],[1219,theory(equality)]) ).
cnf(1221,plain,
szDzozmdt0(xc) != slcrc0,
inference(sr,[status(thm)],[1220,1005,theory(equality)]) ).
cnf(1298,plain,
( aSet0(szDzozmdt0(xc))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[551,456,theory(equality)]) ).
cnf(1299,plain,
( aSet0(szDzozmdt0(xc))
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[1298,295,theory(equality)]) ).
cnf(1300,plain,
( aSet0(szDzozmdt0(xc))
| $false
| $false ),
inference(rw,[status(thm)],[1299,499,theory(equality)]) ).
cnf(1301,plain,
aSet0(szDzozmdt0(xc)),
inference(cn,[status(thm)],[1300,theory(equality)]) ).
cnf(2563,plain,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,szDzozmdt0(xc))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[624,456,theory(equality)]) ).
cnf(2575,plain,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,szDzozmdt0(xc))
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[2563,295,theory(equality)]) ).
cnf(2576,plain,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,szDzozmdt0(xc))
| $false
| $false ),
inference(rw,[status(thm)],[2575,499,theory(equality)]) ).
cnf(2577,plain,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(cn,[status(thm)],[2576,theory(equality)]) ).
cnf(2578,plain,
( aSubsetOf0(esk13_1(szDzozmdt0(xc)),xS)
| slcrc0 = szDzozmdt0(xc)
| ~ aSet0(szDzozmdt0(xc)) ),
inference(spm,[status(thm)],[2577,281,theory(equality)]) ).
cnf(2591,plain,
( aSubsetOf0(esk13_1(szDzozmdt0(xc)),xS)
| slcrc0 = szDzozmdt0(xc)
| $false ),
inference(rw,[status(thm)],[2578,1301,theory(equality)]) ).
cnf(2592,plain,
( aSubsetOf0(esk13_1(szDzozmdt0(xc)),xS)
| slcrc0 = szDzozmdt0(xc) ),
inference(cn,[status(thm)],[2591,theory(equality)]) ).
cnf(2593,plain,
aSubsetOf0(esk13_1(szDzozmdt0(xc)),xS),
inference(sr,[status(thm)],[2592,1221,theory(equality)]) ).
cnf(2613,plain,
( aSet0(esk13_1(szDzozmdt0(xc)))
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[169,2593,theory(equality)]) ).
cnf(2623,plain,
( aSet0(esk13_1(szDzozmdt0(xc)))
| $false ),
inference(rw,[status(thm)],[2613,499,theory(equality)]) ).
cnf(2624,plain,
aSet0(esk13_1(szDzozmdt0(xc))),
inference(cn,[status(thm)],[2623,theory(equality)]) ).
cnf(3008,plain,
( sbrdtbr0(X1) = sz00
| ~ aElementOf0(X1,szDzozmdt0(xc))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[599,456,theory(equality)]) ).
cnf(3020,plain,
( sbrdtbr0(X1) = sz00
| ~ aElementOf0(X1,szDzozmdt0(xc))
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[3008,295,theory(equality)]) ).
cnf(3021,plain,
( sbrdtbr0(X1) = sz00
| ~ aElementOf0(X1,szDzozmdt0(xc))
| $false
| $false ),
inference(rw,[status(thm)],[3020,499,theory(equality)]) ).
cnf(3022,plain,
( sbrdtbr0(X1) = sz00
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(cn,[status(thm)],[3021,theory(equality)]) ).
cnf(3060,plain,
( slcrc0 = X1
| ~ aSet0(X1)
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(spm,[status(thm)],[379,3022,theory(equality)]) ).
cnf(3094,plain,
( slcrc0 = esk13_1(szDzozmdt0(xc))
| slcrc0 = szDzozmdt0(xc)
| ~ aSet0(esk13_1(szDzozmdt0(xc)))
| ~ aSet0(szDzozmdt0(xc)) ),
inference(spm,[status(thm)],[3060,281,theory(equality)]) ).
cnf(3107,plain,
( slcrc0 = esk13_1(szDzozmdt0(xc))
| slcrc0 = szDzozmdt0(xc)
| $false
| ~ aSet0(szDzozmdt0(xc)) ),
inference(rw,[status(thm)],[3094,2624,theory(equality)]) ).
cnf(3108,plain,
( slcrc0 = esk13_1(szDzozmdt0(xc))
| slcrc0 = szDzozmdt0(xc)
| $false
| $false ),
inference(rw,[status(thm)],[3107,1301,theory(equality)]) ).
cnf(3109,plain,
( slcrc0 = esk13_1(szDzozmdt0(xc))
| slcrc0 = szDzozmdt0(xc) ),
inference(cn,[status(thm)],[3108,theory(equality)]) ).
cnf(3110,plain,
esk13_1(szDzozmdt0(xc)) = slcrc0,
inference(sr,[status(thm)],[3109,1221,theory(equality)]) ).
cnf(3125,plain,
( slcrc0 = szDzozmdt0(xc)
| aElementOf0(slcrc0,szDzozmdt0(xc))
| ~ aSet0(szDzozmdt0(xc)) ),
inference(spm,[status(thm)],[281,3110,theory(equality)]) ).
cnf(3143,plain,
( slcrc0 = szDzozmdt0(xc)
| aElementOf0(slcrc0,szDzozmdt0(xc))
| $false ),
inference(rw,[status(thm)],[3125,1301,theory(equality)]) ).
cnf(3144,plain,
( slcrc0 = szDzozmdt0(xc)
| aElementOf0(slcrc0,szDzozmdt0(xc)) ),
inference(cn,[status(thm)],[3143,theory(equality)]) ).
cnf(3145,plain,
aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(sr,[status(thm)],[3144,1221,theory(equality)]) ).
cnf(3146,plain,
$false,
inference(sr,[status(thm)],[3145,457,theory(equality)]) ).
cnf(3147,plain,
$false,
3146,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM564+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 : n124.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 09:01:15 CST 2018
% 0.03/0.24 % CPUTime :
% 0.03/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.28 --creating new selector for []
% 0.07/0.43 -running prover on /export/starexec/sandbox2/tmp/tmpZpFs6Z/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.43 -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/tmpZpFs6Z/sel_theBenchmark.p_1']
% 0.07/0.43 -prover status Theorem
% 0.07/0.43 Problem theBenchmark.p solved in phase 0.
% 0.07/0.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.43 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.43 Solved 1 out of 1.
% 0.07/0.43 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.43 # SZS status Theorem
% 0.07/0.43 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.44 # SZS output end CNFRefutation
%------------------------------------------------------------------------------