TSTP Solution File: NUM543+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM543+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n088.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 15:21:43 EST 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 67 ( 8 unt; 0 def)
% Number of atoms : 348 ( 19 equ)
% Maximal formula atoms : 23 ( 5 avg)
% Number of connectives : 465 ( 184 ~; 182 |; 85 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 106 ( 2 sgn 59 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(6,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& ~ equal(szszuzczcdt0(X1),sz00) ) ),
file('/export/starexec/sandbox2/tmp/tmpcqkDfK/sel_theBenchmark.p_1',mSuccNum) ).
fof(24,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmpcqkDfK/sel_theBenchmark.p_1',mSuccLess) ).
fof(28,axiom,
! [X1] :
( equal(X1,slcrc0)
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpcqkDfK/sel_theBenchmark.p_1',mDefEmp) ).
fof(32,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpcqkDfK/sel_theBenchmark.p_1',mZeroNum) ).
fof(34,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1)
& ~ equal(X1,slcrc0) )
=> ! [X2] :
( equal(X2,szmzazxdt0(X1))
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpcqkDfK/sel_theBenchmark.p_1',mDefMax) ).
fof(37,conjecture,
? [X1] :
( aElementOf0(X1,szNzAzT0)
& ( ( aSet0(slbdtrb0(X1))
& ! [X2] :
( aElementOf0(X2,slbdtrb0(X1))
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X1) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,xS)
=> aElementOf0(X2,slbdtrb0(X1)) )
| aSubsetOf0(xS,slbdtrb0(X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpcqkDfK/sel_theBenchmark.p_1',m__) ).
fof(51,axiom,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
file('/export/starexec/sandbox2/tmp/tmpcqkDfK/sel_theBenchmark.p_1',m__1986) ).
fof(57,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,szNzAzT0)
& ( ( aSet0(slbdtrb0(X1))
& ! [X2] :
( aElementOf0(X2,slbdtrb0(X1))
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X1) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,xS)
=> aElementOf0(X2,slbdtrb0(X1)) )
| aSubsetOf0(xS,slbdtrb0(X1)) ) ) ),
inference(assume_negation,[status(cth)],[37]) ).
fof(74,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& ~ equal(szszuzczcdt0(X1),sz00) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(75,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
& ~ equal(szszuzczcdt0(X2),sz00) ) ),
inference(variable_rename,[status(thm)],[74]) ).
fof(76,plain,
! [X2] :
( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ~ equal(szszuzczcdt0(X2),sz00)
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[75]) ).
cnf(78,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[76]) ).
fof(166,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)],[24]) ).
fof(167,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)],[166]) ).
fof(168,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)],[167]) ).
cnf(170,plain,
( sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[168]) ).
fof(182,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)],[28]) ).
fof(183,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)],[182]) ).
fof(184,plain,
! [X3] :
( ( ~ equal(X3,slcrc0)
| ( aSet0(X3)
& ! [X4] : ~ aElementOf0(X4,X3) ) )
& ( ~ aSet0(X3)
| aElementOf0(esk6_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(skolemize,[status(esa)],[183]) ).
fof(185,plain,
! [X3,X4] :
( ( ( ~ aElementOf0(X4,X3)
& aSet0(X3) )
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk6_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(shift_quantors,[status(thm)],[184]) ).
fof(186,plain,
! [X3,X4] :
( ( ~ aElementOf0(X4,X3)
| ~ equal(X3,slcrc0) )
& ( aSet0(X3)
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk6_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(distribute,[status(thm)],[185]) ).
cnf(189,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[186]) ).
cnf(199,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[32]) ).
fof(203,plain,
! [X1] :
( ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1)
| equal(X1,slcrc0)
| ! [X2] :
( ( ~ equal(X2,szmzazxdt0(X1))
| ( aElementOf0(X2,X1)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| sdtlseqdt0(X3,X2) ) ) )
& ( ~ aElementOf0(X2,X1)
| ? [X3] :
( aElementOf0(X3,X1)
& ~ sdtlseqdt0(X3,X2) )
| equal(X2,szmzazxdt0(X1)) ) ) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(204,plain,
! [X4] :
( ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| equal(X4,slcrc0)
| ! [X5] :
( ( ~ equal(X5,szmzazxdt0(X4))
| ( aElementOf0(X5,X4)
& ! [X6] :
( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X6,X5) ) ) )
& ( ~ aElementOf0(X5,X4)
| ? [X7] :
( aElementOf0(X7,X4)
& ~ sdtlseqdt0(X7,X5) )
| equal(X5,szmzazxdt0(X4)) ) ) ),
inference(variable_rename,[status(thm)],[203]) ).
fof(205,plain,
! [X4] :
( ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| equal(X4,slcrc0)
| ! [X5] :
( ( ~ equal(X5,szmzazxdt0(X4))
| ( aElementOf0(X5,X4)
& ! [X6] :
( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X6,X5) ) ) )
& ( ~ aElementOf0(X5,X4)
| ( aElementOf0(esk7_2(X4,X5),X4)
& ~ sdtlseqdt0(esk7_2(X4,X5),X5) )
| equal(X5,szmzazxdt0(X4)) ) ) ),
inference(skolemize,[status(esa)],[204]) ).
fof(206,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X6,X5) )
& aElementOf0(X5,X4) )
| ~ equal(X5,szmzazxdt0(X4)) )
& ( ~ aElementOf0(X5,X4)
| ( aElementOf0(esk7_2(X4,X5),X4)
& ~ sdtlseqdt0(esk7_2(X4,X5),X5) )
| equal(X5,szmzazxdt0(X4)) ) )
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| equal(X4,slcrc0) ),
inference(shift_quantors,[status(thm)],[205]) ).
fof(207,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X6,X5)
| ~ equal(X5,szmzazxdt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| equal(X4,slcrc0) )
& ( aElementOf0(X5,X4)
| ~ equal(X5,szmzazxdt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| equal(X4,slcrc0) )
& ( aElementOf0(esk7_2(X4,X5),X4)
| ~ aElementOf0(X5,X4)
| equal(X5,szmzazxdt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| equal(X4,slcrc0) )
& ( ~ sdtlseqdt0(esk7_2(X4,X5),X5)
| ~ aElementOf0(X5,X4)
| equal(X5,szmzazxdt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| equal(X4,slcrc0) ) ),
inference(distribute,[status(thm)],[206]) ).
cnf(210,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzazxdt0(X1) ),
inference(split_conjunct,[status(thm)],[207]) ).
cnf(211,plain,
( X1 = slcrc0
| sdtlseqdt0(X3,X2)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzazxdt0(X1)
| ~ aElementOf0(X3,X1) ),
inference(split_conjunct,[status(thm)],[207]) ).
fof(229,negated_conjecture,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aSet0(slbdtrb0(X1))
& ! [X2] :
( ( ~ aElementOf0(X2,slbdtrb0(X1))
| ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X1) ) )
& ( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X1)
| aElementOf0(X2,slbdtrb0(X1)) ) )
& ? [X2] :
( aElementOf0(X2,xS)
& ~ aElementOf0(X2,slbdtrb0(X1)) )
& ~ aSubsetOf0(xS,slbdtrb0(X1)) ) ),
inference(fof_nnf,[status(thm)],[57]) ).
fof(230,negated_conjecture,
! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ( aSet0(slbdtrb0(X3))
& ! [X4] :
( ( ~ aElementOf0(X4,slbdtrb0(X3))
| ( aElementOf0(X4,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X4),X3) ) )
& ( ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X4),X3)
| aElementOf0(X4,slbdtrb0(X3)) ) )
& ? [X5] :
( aElementOf0(X5,xS)
& ~ aElementOf0(X5,slbdtrb0(X3)) )
& ~ aSubsetOf0(xS,slbdtrb0(X3)) ) ),
inference(variable_rename,[status(thm)],[229]) ).
fof(231,negated_conjecture,
! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ( aSet0(slbdtrb0(X3))
& ! [X4] :
( ( ~ aElementOf0(X4,slbdtrb0(X3))
| ( aElementOf0(X4,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X4),X3) ) )
& ( ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X4),X3)
| aElementOf0(X4,slbdtrb0(X3)) ) )
& aElementOf0(esk9_1(X3),xS)
& ~ aElementOf0(esk9_1(X3),slbdtrb0(X3))
& ~ aSubsetOf0(xS,slbdtrb0(X3)) ) ),
inference(skolemize,[status(esa)],[230]) ).
fof(232,negated_conjecture,
! [X3,X4] :
( ( ( ~ aElementOf0(X4,slbdtrb0(X3))
| ( aElementOf0(X4,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X4),X3) ) )
& ( ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X4),X3)
| aElementOf0(X4,slbdtrb0(X3)) )
& aSet0(slbdtrb0(X3))
& aElementOf0(esk9_1(X3),xS)
& ~ aElementOf0(esk9_1(X3),slbdtrb0(X3))
& ~ aSubsetOf0(xS,slbdtrb0(X3)) )
| ~ aElementOf0(X3,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[231]) ).
fof(233,negated_conjecture,
! [X3,X4] :
( ( aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X4,slbdtrb0(X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X4),X3)
| ~ aElementOf0(X4,slbdtrb0(X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X4),X3)
| aElementOf0(X4,slbdtrb0(X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSet0(slbdtrb0(X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk9_1(X3),xS)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk9_1(X3),slbdtrb0(X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(xS,slbdtrb0(X3))
| ~ aElementOf0(X3,szNzAzT0) ) ),
inference(distribute,[status(thm)],[232]) ).
cnf(235,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(esk9_1(X1),slbdtrb0(X1)) ),
inference(split_conjunct,[status(thm)],[233]) ).
cnf(236,negated_conjecture,
( aElementOf0(esk9_1(X1),xS)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[233]) ).
cnf(238,negated_conjecture,
( aElementOf0(X2,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[233]) ).
fof(294,plain,
( aSet0(xS)
& ! [X1] :
( ~ aElementOf0(X1,xS)
| aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
inference(fof_nnf,[status(thm)],[51]) ).
fof(295,plain,
( aSet0(xS)
& ! [X2] :
( ~ aElementOf0(X2,xS)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
inference(variable_rename,[status(thm)],[294]) ).
fof(296,plain,
! [X2] :
( ( ~ aElementOf0(X2,xS)
| aElementOf0(X2,szNzAzT0) )
& aSet0(xS)
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
inference(shift_quantors,[status(thm)],[295]) ).
cnf(297,plain,
isFinite0(xS),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(298,plain,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(300,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(326,negated_conjecture,
( aElementOf0(esk9_1(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[300,236,theory(equality)]) ).
cnf(332,negated_conjecture,
( slcrc0 != xS
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[189,236,theory(equality)]) ).
cnf(440,negated_conjecture,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[238,170,theory(equality)]) ).
cnf(517,plain,
( slcrc0 = X1
| aElementOf0(szmzazxdt0(X1),X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[210,theory(equality)]) ).
cnf(571,plain,
( sdtlseqdt0(X3,X2)
| szmzazxdt0(X1) != X2
| ~ isFinite0(X1)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[211,189]) ).
cnf(574,negated_conjecture,
( sdtlseqdt0(esk9_1(X1),X2)
| szmzazxdt0(xS) != X2
| ~ isFinite0(xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[571,236,theory(equality)]) ).
cnf(580,negated_conjecture,
( sdtlseqdt0(esk9_1(X1),X2)
| szmzazxdt0(xS) != X2
| $false
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[574,297,theory(equality)]) ).
cnf(581,negated_conjecture,
( sdtlseqdt0(esk9_1(X1),X2)
| szmzazxdt0(xS) != X2
| $false
| $false
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[580,298,theory(equality)]) ).
cnf(582,negated_conjecture,
( sdtlseqdt0(esk9_1(X1),X2)
| szmzazxdt0(xS) != X2
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[581,theory(equality)]) ).
cnf(714,negated_conjecture,
xS != slcrc0,
inference(spm,[status(thm)],[332,199,theory(equality)]) ).
cnf(2128,negated_conjecture,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[440,78]) ).
cnf(2129,negated_conjecture,
( ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ sdtlseqdt0(esk9_1(szszuzczcdt0(X1)),X1)
| ~ aElementOf0(esk9_1(szszuzczcdt0(X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[235,2128,theory(equality)]) ).
cnf(2185,negated_conjecture,
( ~ sdtlseqdt0(esk9_1(szszuzczcdt0(X1)),X1)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[2129,326]) ).
cnf(2186,negated_conjecture,
( ~ sdtlseqdt0(esk9_1(szszuzczcdt0(X1)),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[2185,78]) ).
cnf(2191,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| szmzazxdt0(xS) != X1
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0) ),
inference(spm,[status(thm)],[2186,582,theory(equality)]) ).
cnf(2216,negated_conjecture,
( szmzazxdt0(xS) != X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[2191,78]) ).
cnf(4182,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| slcrc0 = xS
| ~ isFinite0(xS)
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(spm,[status(thm)],[300,517,theory(equality)]) ).
cnf(4204,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| slcrc0 = xS
| $false
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(rw,[status(thm)],[4182,297,theory(equality)]) ).
cnf(4205,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| slcrc0 = xS
| $false
| $false ),
inference(rw,[status(thm)],[4204,298,theory(equality)]) ).
cnf(4206,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| slcrc0 = xS ),
inference(cn,[status(thm)],[4205,theory(equality)]) ).
cnf(4207,plain,
aElementOf0(szmzazxdt0(xS),szNzAzT0),
inference(sr,[status(thm)],[4206,714,theory(equality)]) ).
cnf(4224,plain,
$false,
inference(spm,[status(thm)],[2216,4207,theory(equality)]) ).
cnf(4228,plain,
$false,
4224,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM543+2 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n088.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.625MB
% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Fri Jan 5 09:56:30 CST 2018
% 0.03/0.24 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 0.07/0.50 -running prover on /export/starexec/sandbox2/tmp/tmpcqkDfK/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.50 -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/tmpcqkDfK/sel_theBenchmark.p_1']
% 0.07/0.50 -prover status Theorem
% 0.07/0.50 Problem theBenchmark.p solved in phase 0.
% 0.07/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.50 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.50 Solved 1 out of 1.
% 0.07/0.50 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.50 # SZS status Theorem
% 0.07/0.50 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.50 # SZS output end CNFRefutation
%------------------------------------------------------------------------------