TSTP Solution File: NUM581+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM581+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n114.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 15:21:52 EST 2018
% Result : Theorem 6.09s
% Output : CNFRefutation 6.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 69 ( 17 unt; 0 def)
% Number of atoms : 667 ( 3 equ)
% Maximal formula atoms : 181 ( 9 avg)
% Number of connectives : 915 ( 317 ~; 323 |; 248 &)
% ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 7 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 96 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> aElementOf0(X3,sdtlpdtrp0(xN,X2)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmpldstWr/sel_theBenchmark.p_1',m__3754) ).
fof(7,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpldstWr/sel_theBenchmark.p_1',mDefSub) ).
fof(12,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmpldstWr/sel_theBenchmark.p_1',mZeroNum) ).
fof(13,axiom,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& ~ equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
& aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
file('/export/starexec/sandbox/tmp/tmpldstWr/sel_theBenchmark.p_1',m__3989_02) ).
fof(16,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) ) ) ),
file('/export/starexec/sandbox/tmp/tmpldstWr/sel_theBenchmark.p_1',m__) ).
fof(18,axiom,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/tmp/tmpldstWr/sel_theBenchmark.p_1',m__3435) ).
fof(62,axiom,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& ~ equal(X2,szmzizndt0(sdtlpdtrp0(xN,X1))) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpldstWr/sel_theBenchmark.p_1',m__3623) ).
fof(68,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox/tmp/tmpldstWr/sel_theBenchmark.p_1',mZeroLess) ).
fof(81,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmpldstWr/sel_theBenchmark.p_1',m__3989) ).
fof(89,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) ) ) ),
inference(assume_negation,[status(cth)],[16]) ).
fof(108,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1)
| ( ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
| aElementOf0(X3,sdtlpdtrp0(xN,X2)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(109,plain,
! [X4,X5] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(X5,X4)
| ( ! [X6] :
( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtlpdtrp0(xN,X5)) )
& aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5)) ) ),
inference(variable_rename,[status(thm)],[108]) ).
fof(110,plain,
! [X4,X5,X6] :
( ( ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtlpdtrp0(xN,X5)) )
& aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5)) )
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[109]) ).
fof(111,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtlpdtrp0(xN,X5))
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5))
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) ) ),
inference(distribute,[status(thm)],[110]) ).
cnf(112,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[111]) ).
fof(135,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(136,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)],[135]) ).
fof(137,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk3_2(X4,X5),X5)
& ~ aElementOf0(esk3_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(skolemize,[status(esa)],[136]) ).
fof(138,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) )
& aSet0(X5) )
| ~ aSubsetOf0(X5,X4) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk3_2(X4,X5),X5)
& ~ aElementOf0(esk3_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) )
| ~ aSet0(X4) ),
inference(shift_quantors,[status(thm)],[137]) ).
fof(139,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk3_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk3_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[138]) ).
cnf(143,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(163,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[12]) ).
fof(164,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& ~ equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
& ( ~ aElement0(X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| equal(X1,szmzizndt0(sdtlpdtrp0(xN,xi)))
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(xQ)
& ! [X1] :
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(165,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,xi))
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,xi))
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aSet0(xQ)
& ! [X4] :
( ~ aElementOf0(X4,xQ)
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(variable_rename,[status(thm)],[164]) ).
fof(166,plain,
! [X2,X3,X4] :
( ( ~ aElementOf0(X4,xQ)
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,xi))
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,xi))
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aSet0(xQ)
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(shift_quantors,[status(thm)],[165]) ).
fof(167,plain,
! [X2,X3,X4] :
( ( ~ aElementOf0(X4,xQ)
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElementOf0(X3,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,xi))
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,xi)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aSet0(xQ)
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& equal(sbrdtbr0(xQ),xk)
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(distribute,[status(thm)],[166]) ).
cnf(173,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)),
inference(split_conjunct,[status(thm)],[167]) ).
cnf(177,plain,
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(split_conjunct,[status(thm)],[167]) ).
cnf(179,plain,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[167]) ).
fof(190,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) ),
inference(fof_nnf,[status(thm)],[89]) ).
fof(191,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) ),
inference(variable_rename,[status(thm)],[190]) ).
fof(192,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) ),
inference(skolemize,[status(esa)],[191]) ).
fof(193,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)
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(shift_quantors,[status(thm)],[192]) ).
fof(194,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))))
& ~ aElementOf0(esk6_0,xS)
& ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
& ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(distribute,[status(thm)],[193]) ).
cnf(198,negated_conjecture,
~ aElementOf0(esk6_0,xS),
inference(split_conjunct,[status(thm)],[194]) ).
cnf(199,negated_conjecture,
aElementOf0(esk6_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(split_conjunct,[status(thm)],[194]) ).
cnf(203,negated_conjecture,
( X1 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X1,xQ)
| ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(split_conjunct,[status(thm)],[194]) ).
fof(207,plain,
( aSet0(xS)
& ! [X1] :
( ~ aElementOf0(X1,xS)
| aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(208,plain,
( aSet0(xS)
& ! [X2] :
( ~ aElementOf0(X2,xS)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(variable_rename,[status(thm)],[207]) ).
fof(209,plain,
! [X2] :
( ( ~ aElementOf0(X2,xS)
| aElementOf0(X2,szNzAzT0) )
& aSet0(xS)
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(shift_quantors,[status(thm)],[208]) ).
cnf(212,plain,
aSet0(xS),
inference(split_conjunct,[status(thm)],[209]) ).
fof(434,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( ( ~ aSet0(sdtlpdtrp0(xN,X1))
| ? [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
& ~ aElementOf0(X2,szNzAzT0) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& ~ equal(X2,szmzizndt0(sdtlpdtrp0(xN,X1))) ) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| equal(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))
| aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ),
inference(fof_nnf,[status(thm)],[62]) ).
fof(435,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ( ( ~ aSet0(sdtlpdtrp0(xN,X3))
| ? [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X3))
& ~ aElementOf0(X4,szNzAzT0) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ( aElement0(X6)
& aElementOf0(X6,sdtlpdtrp0(xN,X3))
& ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3))) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
& ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))) ) ) ),
inference(variable_rename,[status(thm)],[434]) ).
fof(436,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ( ( ~ aSet0(sdtlpdtrp0(xN,X3))
| ( aElementOf0(esk20_1(X3),sdtlpdtrp0(xN,X3))
& ~ aElementOf0(esk20_1(X3),szNzAzT0) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ( aElement0(X6)
& aElementOf0(X6,sdtlpdtrp0(xN,X3))
& ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3))) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
& ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))) ) ) ),
inference(skolemize,[status(esa)],[435]) ).
fof(437,plain,
! [X3,X5,X6,X7] :
( ( ( ( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) )
& ( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ( aElement0(X6)
& aElementOf0(X6,sdtlpdtrp0(xN,X3))
& ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3))) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) )
& ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))) )
| ( ( ~ aSet0(sdtlpdtrp0(xN,X3))
| ( aElementOf0(esk20_1(X3),sdtlpdtrp0(xN,X3))
& ~ aElementOf0(esk20_1(X3),szNzAzT0) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS) ),
inference(shift_quantors,[status(thm)],[436]) ).
fof(438,plain,
! [X3,X5,X6,X7] :
( ( aElementOf0(esk20_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk20_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk20_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk20_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk20_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(X6,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk20_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(X6,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(X6,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk20_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk20_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk20_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk20_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk20_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk20_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk20_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk20_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk20_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk20_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk20_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk20_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk20_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk20_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk20_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk20_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS) ),
inference(distribute,[status(thm)],[437]) ).
cnf(439,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(split_conjunct,[status(thm)],[438]) ).
fof(495,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(fof_nnf,[status(thm)],[68]) ).
fof(496,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(sz00,X2) ),
inference(variable_rename,[status(thm)],[495]) ).
cnf(497,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[496]) ).
cnf(4511,plain,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[81]) ).
cnf(4593,plain,
sdtlseqdt0(sz00,xi),
inference(spm,[status(thm)],[497,4511,theory(equality)]) ).
cnf(4898,negated_conjecture,
( szmzizndt0(sdtlpdtrp0(xN,xi)) = esk6_0
| aElementOf0(esk6_0,xQ) ),
inference(spm,[status(thm)],[203,199,theory(equality)]) ).
cnf(4999,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,xi)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[112,4511,theory(equality)]) ).
cnf(23234,negated_conjecture,
( aElementOf0(esk6_0,sdtlpdtrp0(xN,xi))
| aElementOf0(esk6_0,xQ) ),
inference(spm,[status(thm)],[173,4898,theory(equality)]) ).
cnf(59887,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00))
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(spm,[status(thm)],[4999,4593,theory(equality)]) ).
cnf(59896,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(rw,[status(thm)],[59887,439,theory(equality)]) ).
cnf(59897,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| $false ),
inference(rw,[status(thm)],[59896,163,theory(equality)]) ).
cnf(59898,plain,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(cn,[status(thm)],[59897,theory(equality)]) ).
cnf(59930,plain,
( aElementOf0(X1,xS)
| ~ aSet0(xS)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
inference(spm,[status(thm)],[143,59898,theory(equality)]) ).
cnf(59939,plain,
( aElementOf0(X1,xS)
| $false
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
inference(rw,[status(thm)],[59930,212,theory(equality)]) ).
cnf(59940,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
inference(cn,[status(thm)],[59939,theory(equality)]) ).
cnf(60037,negated_conjecture,
( aElementOf0(esk6_0,xS)
| aElementOf0(esk6_0,xQ) ),
inference(spm,[status(thm)],[59940,23234,theory(equality)]) ).
cnf(60057,negated_conjecture,
aElementOf0(esk6_0,xQ),
inference(sr,[status(thm)],[60037,198,theory(equality)]) ).
cnf(60061,negated_conjecture,
aElementOf0(esk6_0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(spm,[status(thm)],[179,60057,theory(equality)]) ).
cnf(60350,negated_conjecture,
aElementOf0(esk6_0,sdtlpdtrp0(xN,xi)),
inference(spm,[status(thm)],[177,60061,theory(equality)]) ).
cnf(60380,negated_conjecture,
aElementOf0(esk6_0,xS),
inference(spm,[status(thm)],[59940,60350,theory(equality)]) ).
cnf(60394,negated_conjecture,
$false,
inference(sr,[status(thm)],[60380,198,theory(equality)]) ).
cnf(60395,negated_conjecture,
$false,
60394,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM581+3 : 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 : n114.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 09:56:45 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.27 --creating new selector for []
% 6.09/6.30 -running prover on /export/starexec/sandbox/tmp/tmpldstWr/sel_theBenchmark.p_1 with time limit 29
% 6.09/6.30 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpldstWr/sel_theBenchmark.p_1']
% 6.09/6.30 -prover status Theorem
% 6.09/6.30 Problem theBenchmark.p solved in phase 0.
% 6.09/6.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.09/6.30 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.09/6.30 Solved 1 out of 1.
% 6.09/6.30 # Problem is unsatisfiable (or provable), constructing proof object
% 6.09/6.30 # SZS status Theorem
% 6.09/6.30 # SZS output start CNFRefutation.
% See solution above
% 6.09/6.31 # SZS output end CNFRefutation
%------------------------------------------------------------------------------