TSTP Solution File: NUM584+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM584+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n107.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 15:21:53 EST 2018
% Result : Theorem 0.68s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 6 unt; 0 def)
% Number of atoms : 270 ( 3 equ)
% Maximal formula atoms : 22 ( 9 avg)
% Number of connectives : 346 ( 104 ~; 98 |; 129 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(14,axiom,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xQ)
| equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
=> aElementOf0(X1,xS) )
& aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
file('/export/starexec/sandbox2/tmp/tmpIjs1kg/sel_theBenchmark.p_1',m__4024) ).
fof(17,conjecture,
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) ) )
=> ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xQ)
| equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) ) )
=> ( ( ( ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) )
& equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) )
| aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpIjs1kg/sel_theBenchmark.p_1',m__) ).
fof(41,axiom,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xQ)
| equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) ),
file('/export/starexec/sandbox2/tmp/tmpIjs1kg/sel_theBenchmark.p_1',m__4007) ).
fof(90,negated_conjecture,
~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) ) )
=> ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xQ)
| equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) ) )
=> ( ( ( ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) )
& equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) )
| aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)) ) ) ),
inference(assume_negation,[status(cth)],[17]) ).
fof(181,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X1)
& ( aElementOf0(X1,xQ)
| equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X1)
| ( ~ aElementOf0(X1,xQ)
& ~ equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& ! [X1] :
( ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElementOf0(X1,xS) )
& aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(182,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X3)
& ( aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,xQ)
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& ! [X4] :
( ~ aElementOf0(X4,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElementOf0(X4,xS) )
& aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
inference(variable_rename,[status(thm)],[181]) ).
fof(183,plain,
! [X2,X3,X4] :
( ( ~ aElementOf0(X4,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElementOf0(X4,xS) )
& ( ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X3)
& ( aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,xQ)
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
inference(shift_quantors,[status(thm)],[182]) ).
fof(184,plain,
! [X2,X3,X4] :
( ( ~ aElementOf0(X4,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElementOf0(X4,xS) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X3,xQ)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
inference(distribute,[status(thm)],[183]) ).
cnf(193,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(split_conjunct,[status(thm)],[184]) ).
fof(204,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X1)
& ( aElementOf0(X1,xQ)
| equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X1)
| ( ~ aElementOf0(X1,xQ)
& ~ equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& ( ( ? [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ~ aElementOf0(X1,xS) )
& ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) )
| ~ equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) )
& ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)) ),
inference(fof_nnf,[status(thm)],[90]) ).
fof(205,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X3)
& ( aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,xQ)
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& ( ( ? [X4] :
( aElementOf0(X4,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ~ aElementOf0(X4,xS) )
& ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) )
| ~ equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) )
& ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)) ),
inference(variable_rename,[status(thm)],[204]) ).
fof(206,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X3)
& ( aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,xQ)
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& ( ( aElementOf0(esk6_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ~ aElementOf0(esk6_0,xS)
& ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) )
| ~ equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) )
& ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)) ),
inference(skolemize,[status(esa)],[205]) ).
fof(207,negated_conjecture,
! [X2,X3] :
( ( ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X3)
& ( aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,xQ)
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( ( aElementOf0(esk6_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ~ aElementOf0(esk6_0,xS)
& ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) )
| ~ equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) )
& ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK))
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(shift_quantors,[status(thm)],[206]) ).
fof(208,negated_conjecture,
! [X2,X3] :
( ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X3,xQ)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( aElementOf0(esk6_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) )
& ( ~ aElementOf0(esk6_0,xS)
| ~ equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) )
& ( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
| ~ equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) )
& ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK))
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(distribute,[status(thm)],[207]) ).
cnf(213,negated_conjecture,
( sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK
| ~ aElementOf0(esk6_0,xS) ),
inference(split_conjunct,[status(thm)],[208]) ).
cnf(214,negated_conjecture,
( aElementOf0(esk6_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK ),
inference(split_conjunct,[status(thm)],[208]) ).
fof(326,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X1)
& ( aElementOf0(X1,xQ)
| equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X1)
| ( ~ aElementOf0(X1,xQ)
& ~ equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(327,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X3)
& ( aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,xQ)
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) ),
inference(variable_rename,[status(thm)],[326]) ).
fof(328,plain,
! [X2,X3] :
( ( ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X3)
& ( aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,xQ)
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) ),
inference(shift_quantors,[status(thm)],[327]) ).
fof(329,plain,
! [X2,X3] :
( ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X3,xQ)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& equal(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),xK) ),
inference(distribute,[status(thm)],[328]) ).
cnf(330,plain,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK,
inference(split_conjunct,[status(thm)],[329]) ).
cnf(4829,negated_conjecture,
( $false
| ~ aElementOf0(esk6_0,xS) ),
inference(rw,[status(thm)],[213,330,theory(equality)]) ).
cnf(4830,negated_conjecture,
~ aElementOf0(esk6_0,xS),
inference(cn,[status(thm)],[4829,theory(equality)]) ).
cnf(4900,negated_conjecture,
( aElementOf0(esk6_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| $false ),
inference(rw,[status(thm)],[214,330,theory(equality)]) ).
cnf(4901,negated_conjecture,
aElementOf0(esk6_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cn,[status(thm)],[4900,theory(equality)]) ).
cnf(4904,negated_conjecture,
aElementOf0(esk6_0,xS),
inference(spm,[status(thm)],[193,4901,theory(equality)]) ).
cnf(4907,negated_conjecture,
$false,
inference(sr,[status(thm)],[4904,4830,theory(equality)]) ).
cnf(4908,negated_conjecture,
$false,
4907,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM584+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n107.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 09:43:29 CST 2018
% 0.03/0.23 % CPUTime :
% 0.07/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.27 --creating new selector for []
% 0.68/0.93 -running prover on /export/starexec/sandbox2/tmp/tmpIjs1kg/sel_theBenchmark.p_1 with time limit 29
% 0.68/0.93 -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/tmpIjs1kg/sel_theBenchmark.p_1']
% 0.68/0.93 -prover status Theorem
% 0.68/0.93 Problem theBenchmark.p solved in phase 0.
% 0.68/0.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.93 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.93 Solved 1 out of 1.
% 0.68/0.93 # Problem is unsatisfiable (or provable), constructing proof object
% 0.68/0.93 # SZS status Theorem
% 0.68/0.93 # SZS output start CNFRefutation.
% See solution above
% 0.68/0.93 # SZS output end CNFRefutation
%------------------------------------------------------------------------------