%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM587+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n100.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 15:21:54 EST 2018
% Result : Theorem 7.19s
% Output : CNFRefutation 7.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 63 ( 19 unt; 0 def)
% Number of atoms : 1313 ( 10 equ)
% Maximal formula atoms : 518 ( 20 avg)
% Number of connectives : 1885 ( 635 ~; 696 |; 508 &)
% ( 10 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 105 ( 9 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 12 con; 0-2 aty)
% Number of variables : 173 ( 0 sgn 155 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
( aFunction0(xC)
& equal(szDzozmdt0(xC),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,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))) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& equal(sbrdtbr0(X2),xk) ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& equal(sbrdtbr0(X2),xk) )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& equal(szDzozmdt0(sdtlpdtrp0(xC,X1)),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& equal(sbrdtbr0(X2),xk) )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2),sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpBcO3vU/sel_theBenchmark.p_1',m__4151) ).
fof(15,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox/tmp/tmpBcO3vU/sel_theBenchmark.p_1',m__) ).
fof(22,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))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ),xx) ),
file('/export/starexec/sandbox/tmp/tmpBcO3vU/sel_theBenchmark.p_1',m__4237) ).
fof(68,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmpBcO3vU/sel_theBenchmark.p_1',m__4200) ).
fof(79,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
file('/export/starexec/sandbox/tmp/tmpBcO3vU/sel_theBenchmark.p_1',mImgRng) ).
fof(84,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))) ) ) )
& 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,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X1),sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))) ) ),
file('/export/starexec/sandbox/tmp/tmpBcO3vU/sel_theBenchmark.p_1',m__4263) ).
fof(85,axiom,
( aFunction0(xc)
& ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(xc))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xK) ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& equal(sbrdtbr0(X1),xK) )
=> aElementOf0(X1,szDzozmdt0(xc)) ) )
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X2),X1) ) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X1,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/tmp/tmpBcO3vU/sel_theBenchmark.p_1',m__3453) ).
fof(92,negated_conjecture,
~ aElementOf0(xx,xT),
inference(assume_negation,[status(cth)],[15]) ).
fof(94,negated_conjecture,
~ aElementOf0(xx,xT),
inference(fof_simplification,[status(thm)],[92,theory(equality)]) ).
fof(99,plain,
! [X1] :
( epred1_1(X1)
=> ( aFunction0(sdtlpdtrp0(xC,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))) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& equal(sbrdtbr0(X2),xk) ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& equal(sbrdtbr0(X2),xk) )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& equal(szDzozmdt0(sdtlpdtrp0(xC,X1)),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& equal(sbrdtbr0(X2),xk) )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2),sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))) ) ) ) ),
introduced(definition) ).
fof(101,plain,
( aFunction0(xC)
& equal(szDzozmdt0(xC),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> epred1_1(X1) ) ),
inference(apply_def,[status(esa)],[3,99,theory(equality)]) ).
fof(116,plain,
( aFunction0(xC)
& equal(szDzozmdt0(xC),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| epred1_1(X1) ) ),
inference(fof_nnf,[status(thm)],[101]) ).
fof(117,plain,
( aFunction0(xC)
& equal(szDzozmdt0(xC),szNzAzT0)
& ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| epred1_1(X2) ) ),
inference(variable_rename,[status(thm)],[116]) ).
fof(118,plain,
! [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| epred1_1(X2) )
& aFunction0(xC)
& equal(szDzozmdt0(xC),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[117]) ).
cnf(121,plain,
( epred1_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[118]) ).
cnf(182,negated_conjecture,
~ aElementOf0(xx,xT),
inference(split_conjunct,[status(thm)],[94]) ).
fof(217,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))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ),xx) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(218,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))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ),xx) ),
inference(variable_rename,[status(thm)],[217]) ).
fof(219,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))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ),xx) ),
inference(shift_quantors,[status(thm)],[218]) ).
fof(220,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))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ),xx) ),
inference(distribute,[status(thm)],[219]) ).
cnf(221,plain,
sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) = xx,
inference(split_conjunct,[status(thm)],[220]) ).
cnf(222,plain,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
inference(split_conjunct,[status(thm)],[220]) ).
cnf(225,plain,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[220]) ).
cnf(484,plain,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[68]) ).
fof(516,plain,
! [X1] :
( ~ aFunction0(X1)
| ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(X1))
| aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
inference(fof_nnf,[status(thm)],[79]) ).
fof(517,plain,
! [X3] :
( ~ aFunction0(X3)
| ! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(X3))
| aElementOf0(sdtlpdtrp0(X3,X4),sdtlcdtrc0(X3,szDzozmdt0(X3))) ) ),
inference(variable_rename,[status(thm)],[516]) ).
fof(518,plain,
! [X3,X4] :
( ~ aElementOf0(X4,szDzozmdt0(X3))
| aElementOf0(sdtlpdtrp0(X3,X4),sdtlcdtrc0(X3,szDzozmdt0(X3)))
| ~ aFunction0(X3) ),
inference(shift_quantors,[status(thm)],[517]) ).
cnf(519,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[518]) ).
fof(4509,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)))) ) )
& 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,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X1),sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))) ) ),
inference(fof_nnf,[status(thm)],[84]) ).
fof(4510,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)))) ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X5] :
( ( ~ aElementOf0(X5,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X5)
& ( aElementOf0(X5,xQ)
| equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X5)
| ( ~ aElementOf0(X5,xQ)
& ~ equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X5,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& ? [X6] :
( aElementOf0(X6,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X6),sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))) ) ),
inference(variable_rename,[status(thm)],[4509]) ).
fof(4511,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)))) ) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X5] :
( ( ~ aElementOf0(X5,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X5)
& ( aElementOf0(X5,xQ)
| equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X5)
| ( ~ aElementOf0(X5,xQ)
& ~ equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X5,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& aElementOf0(esk30_0,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,esk30_0),sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))) ),
inference(skolemize,[status(esa)],[4510]) ).
fof(4512,plain,
! [X2,X3,X4,X5] :
( ( ~ aElementOf0(X5,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X5)
& ( aElementOf0(X5,xQ)
| equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
& ( ~ aElement0(X5)
| ( ~ aElementOf0(X5,xQ)
& ~ equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi))) )
| aElementOf0(X5,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X4,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4) )
& ( ~ 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))))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& aElementOf0(esk30_0,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,esk30_0),sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))) ),
inference(shift_quantors,[status(thm)],[4511]) ).
fof(4513,plain,
! [X2,X3,X4,X5] :
( ( aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElementOf0(X5,xQ)
| equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aElementOf0(X5,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X5,xQ)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X4,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4) )
& ( 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))))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& aElementOf0(esk30_0,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,esk30_0),sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))) ),
inference(distribute,[status(thm)],[4512]) ).
cnf(4514,plain,
sdtlpdtrp0(xc,esk30_0) = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(split_conjunct,[status(thm)],[4513]) ).
cnf(4515,plain,
aElementOf0(esk30_0,szDzozmdt0(xc)),
inference(split_conjunct,[status(thm)],[4513]) ).
fof(4530,plain,
( aFunction0(xc)
& ! [X1] :
( ( ~ aElementOf0(X1,szDzozmdt0(xc))
| ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xK) ) )
& ( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xS) ) )
& ~ aSubsetOf0(X1,xS) )
| ~ equal(sbrdtbr0(X1),xK)
| aElementOf0(X1,szDzozmdt0(xc)) ) )
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ? [X2] :
( aElementOf0(X2,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X2),X1) ) )
& ( ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(xc))
| ~ equal(sdtlpdtrp0(xc,X2),X1) )
| aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X1,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(fof_nnf,[status(thm)],[85]) ).
fof(4531,plain,
( aFunction0(xc)
& ! [X3] :
( ( ~ aElementOf0(X3,szDzozmdt0(xc))
| ( aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xK) ) )
& ( ( ( ~ aSet0(X3)
| ? [X5] :
( aElementOf0(X5,X3)
& ~ aElementOf0(X5,xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) ) )
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ? [X7] :
( aElementOf0(X7,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X7),X6) ) )
& ( ! [X8] :
( ~ aElementOf0(X8,szDzozmdt0(xc))
| ~ equal(sdtlpdtrp0(xc,X8),X6) )
| aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& ! [X9] :
( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(variable_rename,[status(thm)],[4530]) ).
fof(4532,plain,
( aFunction0(xc)
& ! [X3] :
( ( ~ aElementOf0(X3,szDzozmdt0(xc))
| ( aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xK) ) )
& ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk31_1(X3),X3)
& ~ aElementOf0(esk31_1(X3),xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) ) )
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ( aElementOf0(esk32_1(X6),szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,esk32_1(X6)),X6) ) )
& ( ! [X8] :
( ~ aElementOf0(X8,szDzozmdt0(xc))
| ~ equal(sdtlpdtrp0(xc,X8),X6) )
| aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& ! [X9] :
( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(skolemize,[status(esa)],[4531]) ).
fof(4533,plain,
! [X3,X4,X6,X8,X9] :
( ( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT) )
& ( ~ aElementOf0(X8,szDzozmdt0(xc))
| ~ equal(sdtlpdtrp0(xc,X8),X6)
| aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ( aElementOf0(esk32_1(X6),szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,esk32_1(X6)),X6) ) )
& ( ( ( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSet0(X3)
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xK) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk31_1(X3),X3)
& ~ aElementOf0(esk31_1(X3),xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) )
& aFunction0(xc)
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(shift_quantors,[status(thm)],[4532]) ).
fof(4534,plain,
! [X3,X4,X6,X8,X9] :
( ( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT) )
& ( ~ aElementOf0(X8,szDzozmdt0(xc))
| ~ equal(sdtlpdtrp0(xc,X8),X6)
| aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( aElementOf0(esk32_1(X6),szDzozmdt0(xc))
| ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( equal(sdtlpdtrp0(xc,esk32_1(X6)),X6)
| ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( aSet0(X3)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( aSubsetOf0(X3,xS)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( equal(sbrdtbr0(X3),xK)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( aElementOf0(esk31_1(X3),X3)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) )
& ( ~ aElementOf0(esk31_1(X3),xS)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) )
& ( ~ aSubsetOf0(X3,xS)
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) )
& aFunction0(xc)
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(distribute,[status(thm)],[4533]) ).
cnf(4538,plain,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[4534]) ).
cnf(4549,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(split_conjunct,[status(thm)],[4534]) ).
fof(4578,plain,
! [X1] :
( ~ epred1_1(X1)
| ( aFunction0(sdtlpdtrp0(xC,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)))) ) )
& ! [X2] :
( ( ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ( aSet0(X2)
& ! [X3] :
( ~ aElementOf0(X3,X2)
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& equal(sbrdtbr0(X2),xk) ) )
& ( ( ( ~ aSet0(X2)
| ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| ~ equal(sbrdtbr0(X2),xk)
| aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& equal(szDzozmdt0(sdtlpdtrp0(xC,X1)),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
& ! [X2] :
( ~ aSet0(X2)
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
& ( ( ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| ~ equal(sbrdtbr0(X2),xk) )
& ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( ( ~ aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( aElement0(X3)
& ( aElementOf0(X3,X2)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,X2)
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) )
| aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2),sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))) ) ) ) ),
inference(fof_nnf,[status(thm)],[99]) ).
fof(4579,plain,
! [X4] :
( ~ epred1_1(X4)
| ( aFunction0(sdtlpdtrp0(xC,X4))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X5) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X6)
& aElementOf0(X6,sdtlpdtrp0(xN,X4))
& ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4))) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ! [X7] :
( ( ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ( aSet0(X7)
& ! [X8] :
( ~ aElementOf0(X8,X7)
| aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& equal(sbrdtbr0(X7),xk) ) )
& ( ( ( ~ aSet0(X7)
| ? [X9] :
( aElementOf0(X9,X7)
& ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
| ~ equal(sbrdtbr0(X7),xk)
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4))) ) )
& equal(szDzozmdt0(sdtlpdtrp0(xC,X4)),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
& ! [X10] :
( ~ aSet0(X10)
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X11] :
( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ! [X12] :
( ( ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X12)
& aElementOf0(X12,sdtlpdtrp0(xN,X4))
& ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4))) ) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ( ( ? [X13] :
( aElementOf0(X13,X10)
& ~ aElementOf0(X13,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
| ~ equal(sbrdtbr0(X10),xk) )
& ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X14] :
( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14) )
& ! [X15] :
( ( ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X15)
& ( aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4))) ) ) )
& ( ~ aElement0(X15)
| ( ~ aElementOf0(X15,X10)
& ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4))) )
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))) ) ) ) ),
inference(variable_rename,[status(thm)],[4578]) ).
fof(4580,plain,
! [X4] :
( ~ epred1_1(X4)
| ( aFunction0(sdtlpdtrp0(xC,X4))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X5) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X6)
& aElementOf0(X6,sdtlpdtrp0(xN,X4))
& ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4))) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ! [X7] :
( ( ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ( aSet0(X7)
& ! [X8] :
( ~ aElementOf0(X8,X7)
| aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& equal(sbrdtbr0(X7),xk) ) )
& ( ( ( ~ aSet0(X7)
| ( aElementOf0(esk34_2(X4,X7),X7)
& ~ aElementOf0(esk34_2(X4,X7),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
| ~ equal(sbrdtbr0(X7),xk)
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4))) ) )
& equal(szDzozmdt0(sdtlpdtrp0(xC,X4)),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
& ! [X10] :
( ~ aSet0(X10)
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X11] :
( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ! [X12] :
( ( ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X12)
& aElementOf0(X12,sdtlpdtrp0(xN,X4))
& ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4))) ) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ( ( aElementOf0(esk35_2(X4,X10),X10)
& ~ aElementOf0(esk35_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
| ~ equal(sbrdtbr0(X10),xk) )
& ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X14] :
( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14) )
& ! [X15] :
( ( ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X15)
& ( aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4))) ) ) )
& ( ~ aElement0(X15)
| ( ~ aElementOf0(X15,X10)
& ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4))) )
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))) ) ) ) ),
inference(skolemize,[status(esa)],[4579]) ).
fof(4581,plain,
! [X4,X5,X6,X7,X8,X10,X11,X12,X14,X15] :
( ( ( ( ( ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X15)
& ( aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4))) ) ) )
& ( ~ aElement0(X15)
| ( ~ aElementOf0(X15,X10)
& ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4))) )
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))) )
| ( ( ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X12)
& aElementOf0(X12,sdtlpdtrp0(xN,X4))
& ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4))) ) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ( ( aElementOf0(esk35_2(X4,X10),X10)
& ~ aElementOf0(esk35_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
| ~ equal(sbrdtbr0(X10),xk) )
& ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)) )
| ~ aSet0(X10) )
& ( ( ( ~ aElementOf0(X8,X7)
| aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& aSet0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& equal(sbrdtbr0(X7),xk) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4))) )
& ( ( ( ~ aSet0(X7)
| ( aElementOf0(esk34_2(X4,X7),X7)
& ~ aElementOf0(esk34_2(X4,X7),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
| ~ equal(sbrdtbr0(X7),xk)
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4))) )
& ( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X6)
& aElementOf0(X6,sdtlpdtrp0(xN,X4))
& ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4))) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X5) )
& aFunction0(sdtlpdtrp0(xC,X4))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& equal(szDzozmdt0(sdtlpdtrp0(xC,X4)),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)) )
| ~ epred1_1(X4) ),
inference(shift_quantors,[status(thm)],[4580]) ).
fof(4582,plain,
! [X4,X5,X6,X7,X8,X10,X11,X12,X14,X15] :
( ( aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(esk35_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk35_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(esk35_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk35_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(esk35_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk35_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(esk35_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk35_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( aElementOf0(esk35_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk35_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( aElementOf0(esk35_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk35_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( aElementOf0(esk35_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk35_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X8,X7)
| aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( aSet0(X7)
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( equal(sbrdtbr0(X7),xk)
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( aElementOf0(esk34_2(X4,X7),X7)
| ~ aSet0(X7)
| ~ equal(sbrdtbr0(X7),xk)
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk34_2(X4,X7),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X7)
| ~ equal(sbrdtbr0(X7),xk)
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X7),xk)
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(X6,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X5)
| ~ epred1_1(X4) )
& ( aFunction0(sdtlpdtrp0(xC,X4))
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( equal(szDzozmdt0(sdtlpdtrp0(xC,X4)),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ epred1_1(X4) ) ),
inference(distribute,[status(thm)],[4581]) ).
cnf(4601,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ epred1_1(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ),
inference(split_conjunct,[status(thm)],[4582]) ).
cnf(4807,plain,
epred1_1(xi),
inference(spm,[status(thm)],[121,484,theory(equality)]) ).
cnf(5320,plain,
( aElementOf0(sdtlpdtrp0(xc,esk30_0),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aFunction0(xc) ),
inference(spm,[status(thm)],[519,4515,theory(equality)]) ).
cnf(5328,plain,
( aElementOf0(sdtlpdtrp0(xc,esk30_0),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| $false ),
inference(rw,[status(thm)],[5320,4538,theory(equality)]) ).
cnf(5329,plain,
aElementOf0(sdtlpdtrp0(xc,esk30_0),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cn,[status(thm)],[5328,theory(equality)]) ).
cnf(8360,plain,
( sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ)
| ~ epred1_1(xi)
| ~ aSet0(xQ) ),
inference(spm,[status(thm)],[4601,222,theory(equality)]) ).
cnf(8371,plain,
( sdtlpdtrp0(xc,esk30_0) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ)
| ~ epred1_1(xi)
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[8360,4514,theory(equality)]) ).
cnf(8372,plain,
( sdtlpdtrp0(xc,esk30_0) = xx
| ~ epred1_1(xi)
| ~ aSet0(xQ) ),
inference(rw,[status(thm)],[8371,221,theory(equality)]) ).
cnf(8373,plain,
( sdtlpdtrp0(xc,esk30_0) = xx
| ~ epred1_1(xi)
| $false ),
inference(rw,[status(thm)],[8372,225,theory(equality)]) ).
cnf(8374,plain,
( sdtlpdtrp0(xc,esk30_0) = xx
| ~ epred1_1(xi) ),
inference(cn,[status(thm)],[8373,theory(equality)]) ).
cnf(48133,plain,
( sdtlpdtrp0(xc,esk30_0) = xx
| $false ),
inference(rw,[status(thm)],[8374,4807,theory(equality)]) ).
cnf(48134,plain,
sdtlpdtrp0(xc,esk30_0) = xx,
inference(cn,[status(thm)],[48133,theory(equality)]) ).
cnf(70313,plain,
aElementOf0(xx,sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(rw,[status(thm)],[5329,48134,theory(equality)]) ).
cnf(70315,plain,
aElementOf0(xx,xT),
inference(spm,[status(thm)],[4549,70313,theory(equality)]) ).
cnf(70324,plain,
$false,
inference(sr,[status(thm)],[70315,182,theory(equality)]) ).
cnf(70325,plain,
$false,
70324,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM587+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n100.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 11:18:30 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for []
% 7.19/7.47 -running prover on /export/starexec/sandbox/tmp/tmpBcO3vU/sel_theBenchmark.p_1 with time limit 29
% 7.19/7.47 -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/tmpBcO3vU/sel_theBenchmark.p_1']
% 7.19/7.47 -prover status Theorem
% 7.19/7.47 Problem theBenchmark.p solved in phase 0.
% 7.19/7.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.19/7.47 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.19/7.47 Solved 1 out of 1.
% 7.19/7.47 # Problem is unsatisfiable (or provable), constructing proof object
% 7.19/7.47 # SZS status Theorem
% 7.19/7.47 # SZS output start CNFRefutation.
% See solution above
% 7.19/7.47 # SZS output end CNFRefutation
%------------------------------------------------------------------------------