TSTP Solution File: NUM585+3 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM585+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:07:50 EDT 2023
% Result : Theorem 51.56s 7.29s
% Output : CNFRefutation 51.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 16 unt; 0 def)
% Number of atoms : 1585 ( 227 equ)
% Maximal formula atoms : 693 ( 33 avg)
% Number of connectives : 2431 ( 893 ~;1072 |; 373 &)
% ( 20 <=>; 73 =>; 0 <=; 0 <~>)
% Maximal formula depth : 134 ( 11 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 133 ( 0 sgn; 111 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
& ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
<=> ? [X3] :
( aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X1)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X2 ) ) )
=> ( ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
=> aElementOf0(X2,xT) )
| aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))),xT) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.mRAkiQnKMD/E---3.1_4157.p',m__) ).
fof(m__4151,hypothesis,
( aFunction0(xC)
& 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))
& 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))))
& 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)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& 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))
& 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)))) )
& 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)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.mRAkiQnKMD/E---3.1_4157.p',m__4151) ).
fof(m__3965,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [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))
& 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)))) )
& 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) )
& aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
=> aElementOf0(X3,xS) )
& aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
& sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK
& aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.mRAkiQnKMD/E---3.1_4157.p',m__3965) ).
fof(m__3453,hypothesis,
( aFunction0(xc)
& ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(xc))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& sbrdtbr0(X1) = xK ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& sbrdtbr0(X1) = xK )
=> aElementOf0(X1,szDzozmdt0(xc)) ) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(xc))
& 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/tmp.mRAkiQnKMD/E---3.1_4157.p',m__3453) ).
fof(mImgRng,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
file('/export/starexec/sandbox/tmp/tmp.mRAkiQnKMD/E---3.1_4157.p',mImgRng) ).
fof(c_0_5,plain,
! [X1] :
( epred2_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))
& 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))))
& 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)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& 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))
& 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)))) )
& 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)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
introduced(definition) ).
fof(c_0_6,plain,
! [X1] :
( epred1_1(X1)
<=> ! [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))
& 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)))) )
& 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) )
& aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
=> aElementOf0(X3,xS) )
& aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
& sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK
& aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ) ),
introduced(definition) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
& ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
<=> ? [X3] :
( aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X1)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X2 ) ) )
=> ( ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
=> aElementOf0(X2,xT) )
| aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))),xT) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_8,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> epred2_1(X1) ) ),
inference(apply_def,[status(thm)],[m__4151,c_0_5]) ).
fof(c_0_9,plain,
! [X1] :
( epred1_1(X1)
=> ! [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))
& 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)))) )
& 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) )
& aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
=> aElementOf0(X3,xS) )
& aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
& sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK
& aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ) ),
inference(split_equiv,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X1] :
( epred2_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))
& 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))))
& 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)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& 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))
& 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)))) )
& 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)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_5]) ).
fof(c_0_11,negated_conjecture,
! [X215,X217] :
( aElementOf0(esk33_0,szNzAzT0)
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))))
& ( aElementOf0(esk34_1(X215),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))
| ~ aElementOf0(X215,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,esk33_0),esk34_1(X215)) = X215
| ~ aElementOf0(X215,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))) )
& ( ~ aElementOf0(X217,szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))
| sdtlpdtrp0(sdtlpdtrp0(xC,esk33_0),X217) != X215
| aElementOf0(X215,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))) )
& aElementOf0(esk35_0,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))))
& ~ aElementOf0(esk35_0,xT)
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))),xT) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
fof(c_0_12,hypothesis,
! [X213] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( ~ aElementOf0(X213,szNzAzT0)
| epred2_1(X213) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_13,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[m__3965,c_0_6]) ).
fof(c_0_14,plain,
! [X219,X220,X221,X222,X223,X225,X226,X227,X228] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])]) ).
fof(c_0_15,hypothesis,
! [X170,X171,X172,X174,X176,X177,X178] :
( aFunction0(xc)
& ( aSet0(X170)
| ~ aElementOf0(X170,szDzozmdt0(xc)) )
& ( ~ aElementOf0(X171,X170)
| aElementOf0(X171,xS)
| ~ aElementOf0(X170,szDzozmdt0(xc)) )
& ( aSubsetOf0(X170,xS)
| ~ aElementOf0(X170,szDzozmdt0(xc)) )
& ( sbrdtbr0(X170) = xK
| ~ aElementOf0(X170,szDzozmdt0(xc)) )
& ( aElementOf0(esk20_1(X172),X172)
| ~ aSet0(X172)
| sbrdtbr0(X172) != xK
| aElementOf0(X172,szDzozmdt0(xc)) )
& ( ~ aElementOf0(esk20_1(X172),xS)
| ~ aSet0(X172)
| sbrdtbr0(X172) != xK
| aElementOf0(X172,szDzozmdt0(xc)) )
& ( ~ aSubsetOf0(X172,xS)
| sbrdtbr0(X172) != xK
| aElementOf0(X172,szDzozmdt0(xc)) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ( aElementOf0(esk21_1(X174),szDzozmdt0(xc))
| ~ aElementOf0(X174,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( sdtlpdtrp0(xc,esk21_1(X174)) = X174
| ~ aElementOf0(X174,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X177,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X177) != X176
| aElementOf0(X176,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X178,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X178,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3453])])])])])]) ).
fof(c_0_16,plain,
! [X229,X230,X231,X232,X233,X234,X235,X237,X238,X239,X240,X242,X243,X244] :
( ( aFunction0(sdtlpdtrp0(xC,X229))
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X230,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X230)
| ~ epred2_1(X229) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ epred2_1(X229) )
& ( aElement0(X231)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ epred2_1(X229) )
& ( aElementOf0(X231,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ epred2_1(X229) )
& ( X231 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ epred2_1(X229) )
& ( ~ aElement0(X232)
| ~ aElementOf0(X232,sdtlpdtrp0(xN,X229))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ epred2_1(X229) )
& ( aSet0(X233)
| ~ aElementOf0(X233,szDzozmdt0(sdtlpdtrp0(xC,X229)))
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X234,X233)
| aElementOf0(X234,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X233,szDzozmdt0(sdtlpdtrp0(xC,X229)))
| ~ epred2_1(X229) )
& ( aSubsetOf0(X233,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X233,szDzozmdt0(sdtlpdtrp0(xC,X229)))
| ~ epred2_1(X229) )
& ( sbrdtbr0(X233) = xk
| ~ aElementOf0(X233,szDzozmdt0(sdtlpdtrp0(xC,X229)))
| ~ epred2_1(X229) )
& ( aElementOf0(esk37_2(X229,X235),X235)
| ~ aSet0(X235)
| sbrdtbr0(X235) != xk
| aElementOf0(X235,szDzozmdt0(sdtlpdtrp0(xC,X229)))
| ~ epred2_1(X229) )
& ( ~ aElementOf0(esk37_2(X229,X235),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X235)
| sbrdtbr0(X235) != xk
| aElementOf0(X235,szDzozmdt0(sdtlpdtrp0(xC,X229)))
| ~ epred2_1(X229) )
& ( ~ aSubsetOf0(X235,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X235) != xk
| aElementOf0(X235,szDzozmdt0(sdtlpdtrp0(xC,X229)))
| ~ epred2_1(X229) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X229)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X238,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X238)
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| ~ aElementOf0(X238,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X238)
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X238,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X238)
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X238,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X238)
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X238,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X238)
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X238,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X238)
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X238,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X238)
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| aElement0(X239)
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| aElement0(X239)
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElement0(X239)
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElement0(X239)
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElement0(X239)
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElement0(X239)
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElement0(X239)
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| aElementOf0(X239,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| aElementOf0(X239,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(X239,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(X239,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(X239,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(X239,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(X239,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| X239 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| X239 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| X239 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| X239 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| X239 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| X239 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| X239 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aElement0(X240)
| ~ aElementOf0(X240,sdtlpdtrp0(xN,X229))
| X240 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| ~ aElement0(X240)
| ~ aElementOf0(X240,sdtlpdtrp0(xN,X229))
| X240 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElement0(X240)
| ~ aElementOf0(X240,sdtlpdtrp0(xN,X229))
| X240 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElement0(X240)
| ~ aElementOf0(X240,sdtlpdtrp0(xN,X229))
| X240 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElement0(X240)
| ~ aElementOf0(X240,sdtlpdtrp0(xN,X229))
| X240 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElement0(X240)
| ~ aElementOf0(X240,sdtlpdtrp0(xN,X229))
| X240 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElement0(X240)
| ~ aElementOf0(X240,sdtlpdtrp0(xN,X229))
| X240 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| aElementOf0(esk38_2(X229,X237),X237)
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| aElementOf0(esk38_2(X229,X237),X237)
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(esk38_2(X229,X237),X237)
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(esk38_2(X229,X237),X237)
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(esk38_2(X229,X237),X237)
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(esk38_2(X229,X237),X237)
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(esk38_2(X229,X237),X237)
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aElementOf0(esk38_2(X229,X237),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| ~ aElementOf0(esk38_2(X229,X237),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(esk38_2(X229,X237),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(esk38_2(X229,X237),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(esk38_2(X229,X237),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(esk38_2(X229,X237),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(esk38_2(X229,X237),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSubsetOf0(X237,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| ~ aSubsetOf0(X237,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSubsetOf0(X237,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSubsetOf0(X237,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSubsetOf0(X237,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSubsetOf0(X237,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSubsetOf0(X237,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X237,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| ~ aElementOf0(X237,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X237,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X237,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X237,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X237,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X237,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk))
| ~ aSet0(X237)
| ~ epred2_1(X229) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])]) ).
cnf(c_0_17,negated_conjecture,
( aElementOf0(esk34_1(X1),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
aElementOf0(esk35_0,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,hypothesis,
( epred2_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
aElementOf0(esk33_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_21,hypothesis,
! [X212] :
( ~ aElementOf0(X212,szNzAzT0)
| epred1_1(X212) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_22,plain,
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))),slbdtsldtrb0(xS,xK))
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| sbrdtbr0(X1) != xk
| ~ aSet0(X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,hypothesis,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2)))
| ~ epred2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
aElementOf0(esk34_1(esk35_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_26,negated_conjecture,
epred2_1(esk33_0),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
( sbrdtbr0(X1) = xk
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2)))
| ~ epred2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,hypothesis,
( epred1_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( aSet0(X1)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2)))
| ~ epred2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,negated_conjecture,
( sdtlpdtrp0(sdtlpdtrp0(xC,esk33_0),esk34_1(X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_31,plain,
! [X156,X157] :
( ~ aFunction0(X156)
| ~ aElementOf0(X157,szDzozmdt0(X156))
| aElementOf0(sdtlpdtrp0(X156,X157),sdtlcdtrc0(X156,szDzozmdt0(X156))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgRng])])]) ).
cnf(c_0_32,plain,
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))),szDzozmdt0(xc))
| sbrdtbr0(X1) != xk
| ~ epred1_1(X2)
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_33,negated_conjecture,
aSubsetOf0(esk34_1(esk35_0),sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_34,negated_conjecture,
sbrdtbr0(esk34_1(esk35_0)) = xk,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_26])]) ).
cnf(c_0_35,negated_conjecture,
epred1_1(esk33_0),
inference(spm,[status(thm)],[c_0_28,c_0_20]) ).
cnf(c_0_36,negated_conjecture,
aSet0(esk34_1(esk35_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25]),c_0_26])]) ).
cnf(c_0_37,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| sbrdtbr0(X2) != xk
| ~ aSet0(X2)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_38,negated_conjecture,
sdtlpdtrp0(sdtlpdtrp0(xC,esk33_0),esk34_1(esk35_0)) = esk35_0,
inference(spm,[status(thm)],[c_0_30,c_0_18]) ).
cnf(c_0_39,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
aElementOf0(sdtpldt0(esk34_1(esk35_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))),szDzozmdt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]),c_0_36])]) ).
cnf(c_0_41,plain,
sdtlpdtrp0(xc,sdtpldt0(esk34_1(esk35_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) = esk35_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_33]),c_0_38]),c_0_34]),c_0_26]),c_0_36])]) ).
cnf(c_0_42,hypothesis,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_43,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_44,plain,
aElementOf0(esk35_0,sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_45,negated_conjecture,
~ aElementOf0(esk35_0,xT),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_46,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM585+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 14:14:21 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.51 Running first-order model finding
% 0.22/0.51 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.mRAkiQnKMD/E---3.1_4157.p
% 51.56/7.29 # Version: 3.1pre001
% 51.56/7.29 # Preprocessing class: FSLSSMSMSSSNFFN.
% 51.56/7.29 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 51.56/7.29 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 51.56/7.29 # Starting new_bool_3 with 300s (1) cores
% 51.56/7.29 # Starting new_bool_1 with 300s (1) cores
% 51.56/7.29 # Starting sh5l with 300s (1) cores
% 51.56/7.29 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 4234 completed with status 0
% 51.56/7.29 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 51.56/7.29 # Preprocessing class: FSLSSMSMSSSNFFN.
% 51.56/7.29 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 51.56/7.29 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 51.56/7.29 # No SInE strategy applied
% 51.56/7.29 # Search class: FGHSF-SMLM32-MFFFFFNN
% 51.56/7.29 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 51.56/7.29 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 51.56/7.29 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 51.56/7.29 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 51.56/7.29 # Starting new_bool_3 with 136s (1) cores
% 51.56/7.29 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 51.56/7.29 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 4242 completed with status 0
% 51.56/7.29 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 51.56/7.29 # Preprocessing class: FSLSSMSMSSSNFFN.
% 51.56/7.29 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 51.56/7.29 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 51.56/7.29 # No SInE strategy applied
% 51.56/7.29 # Search class: FGHSF-SMLM32-MFFFFFNN
% 51.56/7.29 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 51.56/7.29 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 51.56/7.29 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 51.56/7.29 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 51.56/7.29 # Preprocessing time : 0.098 s
% 51.56/7.29 # Presaturation interreduction done
% 51.56/7.29
% 51.56/7.29 # Proof found!
% 51.56/7.29 # SZS status Theorem
% 51.56/7.29 # SZS output start CNFRefutation
% See solution above
% 51.56/7.29 # Parsed axioms : 87
% 51.56/7.29 # Removed by relevancy pruning/SinE : 0
% 51.56/7.29 # Initial clauses : 4412
% 51.56/7.29 # Removed in clause preprocessing : 7
% 51.56/7.29 # Initial clauses in saturation : 4405
% 51.56/7.29 # Processed clauses : 12525
% 51.56/7.29 # ...of these trivial : 253
% 51.56/7.29 # ...subsumed : 2520
% 51.56/7.29 # ...remaining for further processing : 9752
% 51.56/7.29 # Other redundant clauses eliminated : 1972
% 51.56/7.29 # Clauses deleted for lack of memory : 0
% 51.56/7.29 # Backward-subsumed : 31
% 51.56/7.29 # Backward-rewritten : 209
% 51.56/7.29 # Generated clauses : 36242
% 51.56/7.29 # ...of the previous two non-redundant : 33697
% 51.56/7.29 # ...aggressively subsumed : 0
% 51.56/7.29 # Contextual simplify-reflections : 209
% 51.56/7.29 # Paramodulations : 34456
% 51.56/7.29 # Factorizations : 6
% 51.56/7.29 # NegExts : 0
% 51.56/7.29 # Equation resolutions : 1976
% 51.56/7.29 # Total rewrite steps : 21224
% 51.56/7.29 # Propositional unsat checks : 2
% 51.56/7.29 # Propositional check models : 2
% 51.56/7.29 # Propositional check unsatisfiable : 0
% 51.56/7.29 # Propositional clauses : 0
% 51.56/7.29 # Propositional clauses after purity: 0
% 51.56/7.29 # Propositional unsat core size : 0
% 51.56/7.29 # Propositional preprocessing time : 0.000
% 51.56/7.29 # Propositional encoding time : 0.034
% 51.56/7.29 # Propositional solver time : 0.001
% 51.56/7.29 # Success case prop preproc time : 0.000
% 51.56/7.29 # Success case prop encoding time : 0.000
% 51.56/7.29 # Success case prop solver time : 0.000
% 51.56/7.29 # Current number of processed clauses : 4015
% 51.56/7.29 # Positive orientable unit clauses : 1206
% 51.56/7.29 # Positive unorientable unit clauses: 0
% 51.56/7.29 # Negative unit clauses : 57
% 51.56/7.29 # Non-unit-clauses : 2752
% 51.56/7.29 # Current number of unprocessed clauses: 28752
% 51.56/7.29 # ...number of literals in the above : 132526
% 51.56/7.29 # Current number of archived formulas : 0
% 51.56/7.29 # Current number of archived clauses : 3962
% 51.56/7.29 # Clause-clause subsumption calls (NU) : 8486947
% 51.56/7.29 # Rec. Clause-clause subsumption calls : 535917
% 51.56/7.29 # Non-unit clause-clause subsumptions : 2524
% 51.56/7.29 # Unit Clause-clause subsumption calls : 162556
% 51.56/7.29 # Rewrite failures with RHS unbound : 0
% 51.56/7.29 # BW rewrite match attempts : 5888
% 51.56/7.29 # BW rewrite match successes : 62
% 51.56/7.29 # Condensation attempts : 0
% 51.56/7.29 # Condensation successes : 0
% 51.56/7.29 # Termbank termtop insertions : 1517143
% 51.56/7.29
% 51.56/7.29 # -------------------------------------------------
% 51.56/7.29 # User time : 6.633 s
% 51.56/7.29 # System time : 0.062 s
% 51.56/7.29 # Total time : 6.695 s
% 51.56/7.29 # Maximum resident set size: 13664 pages
% 51.56/7.29
% 51.56/7.29 # -------------------------------------------------
% 51.56/7.29 # User time : 32.343 s
% 51.56/7.29 # System time : 0.178 s
% 51.56/7.29 # Total time : 32.520 s
% 51.56/7.29 # Maximum resident set size: 1860 pages
% 51.56/7.29 % E---3.1 exiting
%------------------------------------------------------------------------------