TSTP Solution File: NUM585+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM585+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.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 : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:34:05 EDT 2022
% Result : Theorem 0.29s 7.48s
% Output : CNFRefutation 0.29s
% 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 : 134 ( 9 sgn 112 !; 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/solver/bin/../tmp/theBenchmark.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/solver/bin/../tmp/theBenchmark.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/solver/bin/../tmp/theBenchmark.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/solver/bin/../tmp/theBenchmark.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/solver/bin/../tmp/theBenchmark.p',mImgRng) ).
fof(c_0_5,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))
& 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] :
( epred2_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)
=> epred1_1(X1) ) ),
inference(apply_def,[status(thm)],[m__4151,c_0_5]) ).
fof(c_0_9,plain,
! [X1] :
( epred2_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] :
( 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))
& 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,
! [X5,X5,X7] :
( aElementOf0(esk1_0,szNzAzT0)
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,esk1_0),szDzozmdt0(sdtlpdtrp0(xC,esk1_0))))
& ( aElementOf0(esk2_1(X5),szDzozmdt0(sdtlpdtrp0(xC,esk1_0)))
| ~ aElementOf0(X5,sdtlcdtrc0(sdtlpdtrp0(xC,esk1_0),szDzozmdt0(sdtlpdtrp0(xC,esk1_0)))) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,esk1_0),esk2_1(X5)) = X5
| ~ aElementOf0(X5,sdtlcdtrc0(sdtlpdtrp0(xC,esk1_0),szDzozmdt0(sdtlpdtrp0(xC,esk1_0)))) )
& ( ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,esk1_0)))
| sdtlpdtrp0(sdtlpdtrp0(xC,esk1_0),X7) != X5
| aElementOf0(X5,sdtlcdtrc0(sdtlpdtrp0(xC,esk1_0),szDzozmdt0(sdtlpdtrp0(xC,esk1_0)))) )
& aElementOf0(esk3_0,sdtlcdtrc0(sdtlpdtrp0(xC,esk1_0),szDzozmdt0(sdtlpdtrp0(xC,esk1_0))))
& ~ aElementOf0(esk3_0,xT)
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,esk1_0),szDzozmdt0(sdtlpdtrp0(xC,esk1_0))),xT) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])])]) ).
fof(c_0_12,hypothesis,
! [X2] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( ~ aElementOf0(X2,szNzAzT0)
| epred1_1(X2) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[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)
=> epred2_1(X1) ),
inference(apply_def,[status(thm)],[m__3965,c_0_6]) ).
fof(c_0_14,plain,
! [X4,X5,X6,X7,X7,X9,X10,X10,X11] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(X10,X5)
| X10 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( X10 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))) = xK
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(X10,X5)
| X10 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( X10 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))) = xK
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(X10,X5)
| X10 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( X10 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))) = xK
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(X10,X5)
| X10 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( X10 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))) = xK
| aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(X10,X5)
| X10 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( X10 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))) = xK
| aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| X7 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| X7 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| X7 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| X7 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(X10,X5)
| X10 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| X7 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| X7 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( X10 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| X7 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| X7 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| X7 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))) = xK
| X7 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| X7 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| X7 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| X7 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| X7 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| X7 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(X10,X5)
| X10 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| X7 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| X7 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( X10 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| X7 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| X7 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| X7 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))) = xK
| ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| X7 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| X7 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| aElementOf0(esk21_2(X4,X5),X5)
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| aElementOf0(esk21_2(X4,X5),X5)
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(esk21_2(X4,X5),X5)
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(esk21_2(X4,X5),X5)
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(X10,X5)
| X10 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(esk21_2(X4,X5),X5)
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(esk21_2(X4,X5),X5)
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( X10 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(esk21_2(X4,X5),X5)
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| aElementOf0(esk21_2(X4,X5),X5)
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| aElementOf0(esk21_2(X4,X5),X5)
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))) = xK
| aElementOf0(esk21_2(X4,X5),X5)
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| aElementOf0(esk21_2(X4,X5),X5)
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aElementOf0(esk21_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ aElementOf0(esk21_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(esk21_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(esk21_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(X10,X5)
| X10 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(esk21_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(esk21_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( X10 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(esk21_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ aElementOf0(esk21_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ aElementOf0(esk21_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))) = xK
| ~ aElementOf0(esk21_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(esk21_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(X10,X5)
| X10 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( X10 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))) = xK
| ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(X10,X5)
| X10 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( X10 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))) = xK
| ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| ~ epred2_1(X4) )
& ( aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| ~ epred2_1(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])])]) ).
fof(c_0_15,hypothesis,
! [X3,X4,X3,X6,X6,X8,X9] :
( aFunction0(xc)
& ( aSet0(X3)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( aSubsetOf0(X3,xS)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( sbrdtbr0(X3) = xK
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( aElementOf0(esk13_1(X3),X3)
| ~ aSet0(X3)
| sbrdtbr0(X3) != xK
| aElementOf0(X3,szDzozmdt0(xc)) )
& ( ~ aElementOf0(esk13_1(X3),xS)
| ~ aSet0(X3)
| sbrdtbr0(X3) != xK
| aElementOf0(X3,szDzozmdt0(xc)) )
& ( ~ aSubsetOf0(X3,xS)
| sbrdtbr0(X3) != xK
| aElementOf0(X3,szDzozmdt0(xc)) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ( aElementOf0(esk14_1(X6),szDzozmdt0(xc))
| ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( sdtlpdtrp0(xc,esk14_1(X6)) = X6
| ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X8,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X8) != X6
| aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3453])])])])])])]) ).
fof(c_0_16,plain,
! [X4,X5,X6,X6,X7,X8,X7,X10,X11,X12,X12,X14,X15,X15] :
( ( aFunction0(sdtlpdtrp0(xC,X4))
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X5)
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,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) )
& ( 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))
| X6 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aSet0(X7)
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,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) )
& ( aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( sbrdtbr0(X7) = xk
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( aElementOf0(esk19_2(X4,X7),X7)
| ~ aSet0(X7)
| sbrdtbr0(X7) != xk
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk19_2(X4,X7),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X7)
| sbrdtbr0(X7) != xk
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X7) != xk
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X4)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| aElementOf0(esk20_2(X4,X10),X10)
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| aElementOf0(esk20_2(X4,X10),X10)
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(esk20_2(X4,X10),X10)
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(esk20_2(X4,X10),X10)
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(esk20_2(X4,X10),X10)
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(esk20_2(X4,X10),X10)
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(esk20_2(X4,X10),X10)
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aElementOf0(esk20_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ aElementOf0(esk20_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(esk20_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(esk20_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(esk20_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(esk20_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(esk20_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ epred1_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ epred1_1(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])])]) ).
cnf(c_0_17,negated_conjecture,
( aElementOf0(esk2_1(X1),szDzozmdt0(sdtlpdtrp0(xC,esk1_0)))
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,esk1_0),szDzozmdt0(sdtlpdtrp0(xC,esk1_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
aElementOf0(esk3_0,sdtlcdtrc0(sdtlpdtrp0(xC,esk1_0),szDzozmdt0(sdtlpdtrp0(xC,esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,hypothesis,
( epred1_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
aElementOf0(esk1_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_21,hypothesis,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| epred2_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_22,plain,
( aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK))
| ~ epred2_1(X1)
| ~ aSet0(X2)
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
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(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ epred1_1(X1)
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
aElementOf0(esk2_1(esk3_0),szDzozmdt0(sdtlpdtrp0(xC,esk1_0))),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_26,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
( sbrdtbr0(X2) = xk
| ~ epred1_1(X1)
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,hypothesis,
( epred2_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( aSet0(X2)
| ~ epred1_1(X1)
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,negated_conjecture,
( sdtlpdtrp0(sdtlpdtrp0(xC,esk1_0),esk2_1(X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,esk1_0),szDzozmdt0(sdtlpdtrp0(xC,esk1_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_31,plain,
! [X3,X4] :
( ~ aFunction0(X3)
| ~ aElementOf0(X4,szDzozmdt0(X3))
| aElementOf0(sdtlpdtrp0(X3,X4),sdtlcdtrc0(X3,szDzozmdt0(X3))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[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
| ~ epred2_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,plain,
aSubsetOf0(esk2_1(esk3_0),sdtmndt0(sdtlpdtrp0(xN,esk1_0),szmzizndt0(sdtlpdtrp0(xN,esk1_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,plain,
sbrdtbr0(esk2_1(esk3_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,
epred2_1(esk1_0),
inference(spm,[status(thm)],[c_0_28,c_0_20]) ).
cnf(c_0_36,plain,
aSet0(esk2_1(esk3_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))))
| ~ epred1_1(X1)
| ~ aSet0(X2)
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_38,negated_conjecture,
sdtlpdtrp0(sdtlpdtrp0(xC,esk1_0),esk2_1(esk3_0)) = esk3_0,
inference(spm,[status(thm)],[c_0_30,c_0_18]) ).
cnf(c_0_39,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aElementOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
aElementOf0(sdtpldt0(esk2_1(esk3_0),szmzizndt0(sdtlpdtrp0(xN,esk1_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,hypothesis,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_42,plain,
sdtlpdtrp0(xc,sdtpldt0(esk2_1(esk3_0),szmzizndt0(sdtlpdtrp0(xN,esk1_0)))) = esk3_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_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(esk3_0,sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(rw,[status(thm)],[inference(cn,[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(esk3_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
% 0.07/0.12 % Problem : NUM585+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.35 % Computer : n004.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 600
% 0.12/0.35 % DateTime : Wed Jul 6 08:46:07 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.29/7.48 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.29/7.48 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.29/7.48 # Preprocessing time : 0.035 s
% 0.29/7.48
% 0.29/7.48 # Proof found!
% 0.29/7.48 # SZS status Theorem
% 0.29/7.48 # SZS output start CNFRefutation
% See solution above
% 0.29/7.48 # Proof object total steps : 47
% 0.29/7.48 # Proof object clause steps : 28
% 0.29/7.48 # Proof object formula steps : 19
% 0.29/7.48 # Proof object conjectures : 12
% 0.29/7.48 # Proof object clause conjectures : 9
% 0.29/7.48 # Proof object formula conjectures : 3
% 0.29/7.48 # Proof object initial clauses used : 16
% 0.29/7.48 # Proof object initial formulas used : 5
% 0.29/7.48 # Proof object generating inferences : 11
% 0.29/7.48 # Proof object simplifying inferences : 20
% 0.29/7.48 # Training examples: 0 positive, 0 negative
% 0.29/7.48 # Parsed axioms : 87
% 0.29/7.48 # Removed by relevancy pruning/SinE : 34
% 0.29/7.48 # Initial clauses : 342
% 0.29/7.48 # Removed in clause preprocessing : 6
% 0.29/7.48 # Initial clauses in saturation : 336
% 0.29/7.48 # Processed clauses : 6728
% 0.29/7.48 # ...of these trivial : 107
% 0.29/7.48 # ...subsumed : 2384
% 0.29/7.48 # ...remaining for further processing : 4237
% 0.29/7.48 # Other redundant clauses eliminated : 2
% 0.29/7.48 # Clauses deleted for lack of memory : 68105
% 0.29/7.48 # Backward-subsumed : 7
% 0.29/7.48 # Backward-rewritten : 131
% 0.29/7.48 # Generated clauses : 212038
% 0.29/7.48 # ...of the previous two non-trivial : 210694
% 0.29/7.48 # Contextual simplify-reflections : 380
% 0.29/7.48 # Paramodulations : 211894
% 0.29/7.48 # Factorizations : 0
% 0.29/7.48 # Equation resolutions : 144
% 0.29/7.48 # Current number of processed clauses : 4097
% 0.29/7.48 # Positive orientable unit clauses : 805
% 0.29/7.48 # Positive unorientable unit clauses: 0
% 0.29/7.48 # Negative unit clauses : 29
% 0.29/7.48 # Non-unit-clauses : 3263
% 0.29/7.48 # Current number of unprocessed clauses: 134623
% 0.29/7.48 # ...number of literals in the above : 391618
% 0.29/7.48 # Current number of archived formulas : 0
% 0.29/7.48 # Current number of archived clauses : 138
% 0.29/7.48 # Clause-clause subsumption calls (NU) : 2708947
% 0.29/7.48 # Rec. Clause-clause subsumption calls : 1859333
% 0.29/7.48 # Non-unit clause-clause subsumptions : 2567
% 0.29/7.48 # Unit Clause-clause subsumption calls : 420434
% 0.29/7.48 # Rewrite failures with RHS unbound : 0
% 0.29/7.48 # BW rewrite match attempts : 6867
% 0.29/7.48 # BW rewrite match successes : 10
% 0.29/7.48 # Condensation attempts : 0
% 0.29/7.48 # Condensation successes : 0
% 0.29/7.48 # Termbank termtop insertions : 25191485
% 0.29/7.48
% 0.29/7.48 # -------------------------------------------------
% 0.29/7.48 # User time : 6.342 s
% 0.29/7.48 # System time : 0.096 s
% 0.29/7.48 # Total time : 6.438 s
% 0.29/7.48 # Maximum resident set size: 139272 pages
% 0.29/23.42 eprover: CPU time limit exceeded, terminating
% 0.29/23.43 eprover: CPU time limit exceeded, terminating
% 0.29/23.43 eprover: CPU time limit exceeded, terminating
% 0.29/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.44 eprover: No such file or directory
% 0.29/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45 eprover: No such file or directory
% 0.29/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45 eprover: No such file or directory
% 0.29/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.45 eprover: No such file or directory
% 0.29/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45 eprover: No such file or directory
% 0.29/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45 eprover: No such file or directory
% 0.29/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.45 eprover: No such file or directory
% 0.29/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46 eprover: No such file or directory
% 0.29/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46 eprover: No such file or directory
% 0.29/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.46 eprover: No such file or directory
% 0.29/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46 eprover: No such file or directory
% 0.29/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------