%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM585+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n019.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 : 300s
% DateTime : Tue May 5 04:57:55 PM UTC 2026
% Result : Theorem 186.97s 98.04s
% Output : CNFRefutation 187.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 50 ( 16 unt; 0 def)
% Number of atoms : 1592 ( 227 equ)
% Maximal formula atoms : 693 ( 31 avg)
% Number of connectives : 2439 ( 897 ~;1076 |; 373 &)
% ( 20 <=>; 73 =>; 0 <=; 0 <~>)
% Maximal formula depth : 134 ( 10 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 : 137 ( 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/benchmark/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/benchmark/theBenchmark.p',m__4151) ).
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/benchmark/theBenchmark.p',m__3453) ).
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/benchmark/theBenchmark.p',m__3965) ).
fof(mImgRng,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.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,
! [X414,X416] :
( aElementOf0(esk33_0,szNzAzT0)
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))))
& ( aElementOf0(esk34_1(X414),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))
| ~ aElementOf0(X414,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,esk33_0),esk34_1(X414)) = X414
| ~ aElementOf0(X414,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))) )
& ( ~ aElementOf0(X416,szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))
| sdtlpdtrp0(sdtlpdtrp0(xC,esk33_0),X416) != X414
| aElementOf0(X414,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,
! [X412] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( ~ aElementOf0(X412,szNzAzT0)
| epred2_1(X412) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_13,plain,
! [X418,X419,X420,X421,X422,X424,X425,X426,X427] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X424,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X424)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSet0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElement0(X425)
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(X425,X419)
| X425 = szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X426,X419)
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( X426 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X427,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X427,xS)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSubsetOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),xS)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( sbrdtbr0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418)))) = xK
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),slbdtsldtrb0(xS,xK))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X420,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X420)
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X424,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X424)
| ~ aElementOf0(X420,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X420)
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSet0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElementOf0(X420,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X420)
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElement0(X425)
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElementOf0(X420,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X420)
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(X425,X419)
| X425 = szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElementOf0(X420,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X420)
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X426,X419)
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElementOf0(X420,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X420)
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( X426 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElementOf0(X420,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X420)
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X427,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X427,xS)
| ~ aElementOf0(X420,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X420)
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSubsetOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),xS)
| ~ aElementOf0(X420,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X420)
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( sbrdtbr0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418)))) = xK
| ~ aElementOf0(X420,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X420)
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(X420,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X420)
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X424,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X424)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSet0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElement0(X425)
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(X425,X419)
| X425 = szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X426,X419)
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( X426 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X427,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X427,xS)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSubsetOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),xS)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( sbrdtbr0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418)))) = xK
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),slbdtsldtrb0(xS,xK))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| aElement0(X421)
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X424,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X424)
| aElement0(X421)
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSet0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElement0(X421)
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElement0(X425)
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElement0(X421)
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(X425,X419)
| X425 = szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElement0(X421)
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X426,X419)
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElement0(X421)
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( X426 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElement0(X421)
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X427,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X427,xS)
| aElement0(X421)
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSubsetOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),xS)
| aElement0(X421)
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( sbrdtbr0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418)))) = xK
| aElement0(X421)
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),slbdtsldtrb0(xS,xK))
| aElement0(X421)
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| aElementOf0(X421,sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X424,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X424)
| aElementOf0(X421,sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSet0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X421,sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElement0(X425)
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X421,sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(X425,X419)
| X425 = szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X421,sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X426,X419)
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X421,sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( X426 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X421,sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X427,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X427,xS)
| aElementOf0(X421,sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSubsetOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),xS)
| aElementOf0(X421,sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( sbrdtbr0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418)))) = xK
| aElementOf0(X421,sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),slbdtsldtrb0(xS,xK))
| aElementOf0(X421,sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| X421 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X424,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X424)
| X421 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSet0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| X421 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElement0(X425)
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| X421 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(X425,X419)
| X425 = szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| X421 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X426,X419)
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| X421 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( X426 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| X421 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X427,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X427,xS)
| X421 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSubsetOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),xS)
| X421 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( sbrdtbr0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418)))) = xK
| X421 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),slbdtsldtrb0(xS,xK))
| X421 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X421,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aElement0(X422)
| ~ aElementOf0(X422,sdtlpdtrp0(xN,X418))
| X422 = szmzizndt0(sdtlpdtrp0(xN,X418))
| aElementOf0(X422,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X424,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X424)
| ~ aElement0(X422)
| ~ aElementOf0(X422,sdtlpdtrp0(xN,X418))
| X422 = szmzizndt0(sdtlpdtrp0(xN,X418))
| aElementOf0(X422,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSet0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElement0(X422)
| ~ aElementOf0(X422,sdtlpdtrp0(xN,X418))
| X422 = szmzizndt0(sdtlpdtrp0(xN,X418))
| aElementOf0(X422,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElement0(X425)
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElement0(X422)
| ~ aElementOf0(X422,sdtlpdtrp0(xN,X418))
| X422 = szmzizndt0(sdtlpdtrp0(xN,X418))
| aElementOf0(X422,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(X425,X419)
| X425 = szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElement0(X422)
| ~ aElementOf0(X422,sdtlpdtrp0(xN,X418))
| X422 = szmzizndt0(sdtlpdtrp0(xN,X418))
| aElementOf0(X422,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X426,X419)
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElement0(X422)
| ~ aElementOf0(X422,sdtlpdtrp0(xN,X418))
| X422 = szmzizndt0(sdtlpdtrp0(xN,X418))
| aElementOf0(X422,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( X426 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElement0(X422)
| ~ aElementOf0(X422,sdtlpdtrp0(xN,X418))
| X422 = szmzizndt0(sdtlpdtrp0(xN,X418))
| aElementOf0(X422,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X427,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X427,xS)
| ~ aElement0(X422)
| ~ aElementOf0(X422,sdtlpdtrp0(xN,X418))
| X422 = szmzizndt0(sdtlpdtrp0(xN,X418))
| aElementOf0(X422,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSubsetOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),xS)
| ~ aElement0(X422)
| ~ aElementOf0(X422,sdtlpdtrp0(xN,X418))
| X422 = szmzizndt0(sdtlpdtrp0(xN,X418))
| aElementOf0(X422,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( sbrdtbr0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418)))) = xK
| ~ aElement0(X422)
| ~ aElementOf0(X422,sdtlpdtrp0(xN,X418))
| X422 = szmzizndt0(sdtlpdtrp0(xN,X418))
| aElementOf0(X422,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),slbdtsldtrb0(xS,xK))
| ~ aElement0(X422)
| ~ aElementOf0(X422,sdtlpdtrp0(xN,X418))
| X422 = szmzizndt0(sdtlpdtrp0(xN,X418))
| aElementOf0(X422,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| aElementOf0(esk36_2(X418,X419),X419)
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X424,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X424)
| aElementOf0(esk36_2(X418,X419),X419)
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSet0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(esk36_2(X418,X419),X419)
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElement0(X425)
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(esk36_2(X418,X419),X419)
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(X425,X419)
| X425 = szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(esk36_2(X418,X419),X419)
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X426,X419)
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(esk36_2(X418,X419),X419)
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( X426 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(esk36_2(X418,X419),X419)
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X427,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X427,xS)
| aElementOf0(esk36_2(X418,X419),X419)
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSubsetOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),xS)
| aElementOf0(esk36_2(X418,X419),X419)
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( sbrdtbr0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418)))) = xK
| aElementOf0(esk36_2(X418,X419),X419)
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),slbdtsldtrb0(xS,xK))
| aElementOf0(esk36_2(X418,X419),X419)
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aElementOf0(esk36_2(X418,X419),sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X424,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X424)
| ~ aElementOf0(esk36_2(X418,X419),sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSet0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElementOf0(esk36_2(X418,X419),sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElement0(X425)
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElementOf0(esk36_2(X418,X419),sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(X425,X419)
| X425 = szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElementOf0(esk36_2(X418,X419),sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X426,X419)
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElementOf0(esk36_2(X418,X419),sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( X426 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElementOf0(esk36_2(X418,X419),sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X427,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X427,xS)
| ~ aElementOf0(esk36_2(X418,X419),sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSubsetOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),xS)
| ~ aElementOf0(esk36_2(X418,X419),sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( sbrdtbr0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418)))) = xK
| ~ aElementOf0(esk36_2(X418,X419),sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(esk36_2(X418,X419),sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aSubsetOf0(X419,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X424,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X424)
| ~ aSubsetOf0(X419,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSet0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSubsetOf0(X419,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElement0(X425)
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSubsetOf0(X419,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(X425,X419)
| X425 = szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSubsetOf0(X419,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X426,X419)
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSubsetOf0(X419,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( X426 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aSubsetOf0(X419,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X427,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X427,xS)
| ~ aSubsetOf0(X419,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSubsetOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),xS)
| ~ aSubsetOf0(X419,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( sbrdtbr0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418)))) = xK
| ~ aSubsetOf0(X419,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),slbdtsldtrb0(xS,xK))
| ~ aSubsetOf0(X419,sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))))
| sbrdtbr0(X419) != xk
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X418)),sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X419,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))),xk))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X424,sdtlpdtrp0(xN,X418))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X418)),X424)
| ~ aElementOf0(X419,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))),xk))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSet0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElementOf0(X419,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))),xk))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElement0(X425)
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElementOf0(X419,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))),xk))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(X425,X419)
| X425 = szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElementOf0(X425,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElementOf0(X419,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))),xk))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X426,X419)
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElementOf0(X419,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))),xk))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( X426 != szmzizndt0(sdtlpdtrp0(xN,X418))
| ~ aElement0(X426)
| aElementOf0(X426,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| ~ aElementOf0(X419,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))),xk))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( ~ aElementOf0(X427,sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))))
| aElementOf0(X427,xS)
| ~ aElementOf0(X419,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))),xk))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aSubsetOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),xS)
| ~ aElementOf0(X419,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))),xk))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( sbrdtbr0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418)))) = xK
| ~ aElementOf0(X419,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))),xk))
| ~ aSet0(X419)
| ~ epred1_1(X418) )
& ( aElementOf0(sdtpldt0(X419,szmzizndt0(sdtlpdtrp0(xN,X418))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(X419,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X418),szmzizndt0(sdtlpdtrp0(xN,X418))),xk))
| ~ aSet0(X419)
| ~ epred1_1(X418) ) ),
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_14,hypothesis,
! [X369,X370,X371,X373,X375,X376,X377] :
( aFunction0(xc)
& ( aSet0(X369)
| ~ aElementOf0(X369,szDzozmdt0(xc)) )
& ( ~ aElementOf0(X370,X369)
| aElementOf0(X370,xS)
| ~ aElementOf0(X369,szDzozmdt0(xc)) )
& ( aSubsetOf0(X369,xS)
| ~ aElementOf0(X369,szDzozmdt0(xc)) )
& ( sbrdtbr0(X369) = xK
| ~ aElementOf0(X369,szDzozmdt0(xc)) )
& ( aElementOf0(esk20_1(X371),X371)
| ~ aSet0(X371)
| sbrdtbr0(X371) != xK
| aElementOf0(X371,szDzozmdt0(xc)) )
& ( ~ aElementOf0(esk20_1(X371),xS)
| ~ aSet0(X371)
| sbrdtbr0(X371) != xK
| aElementOf0(X371,szDzozmdt0(xc)) )
& ( ~ aSubsetOf0(X371,xS)
| sbrdtbr0(X371) != xK
| aElementOf0(X371,szDzozmdt0(xc)) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ( aElementOf0(esk21_1(X373),szDzozmdt0(xc))
| ~ aElementOf0(X373,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( sdtlpdtrp0(xc,esk21_1(X373)) = X373
| ~ aElementOf0(X373,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X376,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X376) != X375
| aElementOf0(X375,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X377,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X377,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_15,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[m__3965,c_0_6]) ).
fof(c_0_16,plain,
! [X428,X429,X430,X431,X432,X433,X434,X436,X437,X438,X439,X441,X442,X443] :
( ( aFunction0(sdtlpdtrp0(xC,X428))
| ~ epred2_1(X428) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X429,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X429)
| ~ epred2_1(X428) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ epred2_1(X428) )
& ( aElement0(X430)
| ~ aElementOf0(X430,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ epred2_1(X428) )
& ( aElementOf0(X430,sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X430,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ epred2_1(X428) )
& ( X430 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X430,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ epred2_1(X428) )
& ( ~ aElement0(X431)
| ~ aElementOf0(X431,sdtlpdtrp0(xN,X428))
| X431 = szmzizndt0(sdtlpdtrp0(xN,X428))
| aElementOf0(X431,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ epred2_1(X428) )
& ( aSet0(X432)
| ~ aElementOf0(X432,szDzozmdt0(sdtlpdtrp0(xC,X428)))
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X433,X432)
| aElementOf0(X433,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(X432,szDzozmdt0(sdtlpdtrp0(xC,X428)))
| ~ epred2_1(X428) )
& ( aSubsetOf0(X432,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(X432,szDzozmdt0(sdtlpdtrp0(xC,X428)))
| ~ epred2_1(X428) )
& ( sbrdtbr0(X432) = xk
| ~ aElementOf0(X432,szDzozmdt0(sdtlpdtrp0(xC,X428)))
| ~ epred2_1(X428) )
& ( aElementOf0(esk37_2(X428,X434),X434)
| ~ aSet0(X434)
| sbrdtbr0(X434) != xk
| aElementOf0(X434,szDzozmdt0(sdtlpdtrp0(xC,X428)))
| ~ epred2_1(X428) )
& ( ~ aElementOf0(esk37_2(X428,X434),sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X434)
| sbrdtbr0(X434) != xk
| aElementOf0(X434,szDzozmdt0(sdtlpdtrp0(xC,X428)))
| ~ epred2_1(X428) )
& ( ~ aSubsetOf0(X434,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| sbrdtbr0(X434) != xk
| aElementOf0(X434,szDzozmdt0(sdtlpdtrp0(xC,X428)))
| ~ epred2_1(X428) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X428)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))),xk)
| ~ epred2_1(X428) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X441,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X441)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElement0(X442)
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(X442,X436)
| X442 = szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X443,X436)
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( X443 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X428),X436) = sdtlpdtrp0(xc,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X437,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X437)
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X441,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X441)
| ~ aElementOf0(X437,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X437)
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElement0(X442)
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(X437,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X437)
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(X442,X436)
| X442 = szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(X437,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X437)
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X443,X436)
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(X437,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X437)
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( X443 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(X437,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X437)
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X428),X436) = sdtlpdtrp0(xc,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(X437,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X437)
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X441,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X441)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElement0(X442)
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(X442,X436)
| X442 = szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X443,X436)
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( X443 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X428),X436) = sdtlpdtrp0(xc,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| aElement0(X438)
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X441,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X441)
| aElement0(X438)
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElement0(X442)
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElement0(X438)
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(X442,X436)
| X442 = szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElement0(X438)
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X443,X436)
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElement0(X438)
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( X443 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElement0(X438)
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X428),X436) = sdtlpdtrp0(xc,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElement0(X438)
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| aElementOf0(X438,sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X441,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X441)
| aElementOf0(X438,sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElement0(X442)
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElementOf0(X438,sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(X442,X436)
| X442 = szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElementOf0(X438,sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X443,X436)
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElementOf0(X438,sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( X443 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElementOf0(X438,sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X428),X436) = sdtlpdtrp0(xc,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElementOf0(X438,sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| X438 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X441,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X441)
| X438 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElement0(X442)
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| X438 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(X442,X436)
| X442 = szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| X438 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X443,X436)
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| X438 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( X443 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| X438 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X428),X436) = sdtlpdtrp0(xc,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| X438 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| ~ aElement0(X439)
| ~ aElementOf0(X439,sdtlpdtrp0(xN,X428))
| X439 = szmzizndt0(sdtlpdtrp0(xN,X428))
| aElementOf0(X439,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X441,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X441)
| ~ aElement0(X439)
| ~ aElementOf0(X439,sdtlpdtrp0(xN,X428))
| X439 = szmzizndt0(sdtlpdtrp0(xN,X428))
| aElementOf0(X439,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElement0(X442)
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElement0(X439)
| ~ aElementOf0(X439,sdtlpdtrp0(xN,X428))
| X439 = szmzizndt0(sdtlpdtrp0(xN,X428))
| aElementOf0(X439,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(X442,X436)
| X442 = szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElement0(X439)
| ~ aElementOf0(X439,sdtlpdtrp0(xN,X428))
| X439 = szmzizndt0(sdtlpdtrp0(xN,X428))
| aElementOf0(X439,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X443,X436)
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElement0(X439)
| ~ aElementOf0(X439,sdtlpdtrp0(xN,X428))
| X439 = szmzizndt0(sdtlpdtrp0(xN,X428))
| aElementOf0(X439,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( X443 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElement0(X439)
| ~ aElementOf0(X439,sdtlpdtrp0(xN,X428))
| X439 = szmzizndt0(sdtlpdtrp0(xN,X428))
| aElementOf0(X439,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X428),X436) = sdtlpdtrp0(xc,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElement0(X439)
| ~ aElementOf0(X439,sdtlpdtrp0(xN,X428))
| X439 = szmzizndt0(sdtlpdtrp0(xN,X428))
| aElementOf0(X439,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| aElementOf0(esk38_2(X428,X436),X436)
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X441,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X441)
| aElementOf0(esk38_2(X428,X436),X436)
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElement0(X442)
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElementOf0(esk38_2(X428,X436),X436)
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(X442,X436)
| X442 = szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElementOf0(esk38_2(X428,X436),X436)
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X443,X436)
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElementOf0(esk38_2(X428,X436),X436)
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( X443 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElementOf0(esk38_2(X428,X436),X436)
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X428),X436) = sdtlpdtrp0(xc,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| aElementOf0(esk38_2(X428,X436),X436)
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| ~ aElementOf0(esk38_2(X428,X436),sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X441,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X441)
| ~ aElementOf0(esk38_2(X428,X436),sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElement0(X442)
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(esk38_2(X428,X436),sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(X442,X436)
| X442 = szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(esk38_2(X428,X436),sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X443,X436)
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(esk38_2(X428,X436),sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( X443 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(esk38_2(X428,X436),sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X428),X436) = sdtlpdtrp0(xc,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(esk38_2(X428,X436),sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| ~ aSubsetOf0(X436,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X441,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X441)
| ~ aSubsetOf0(X436,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElement0(X442)
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSubsetOf0(X436,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(X442,X436)
| X442 = szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSubsetOf0(X436,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X443,X436)
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSubsetOf0(X436,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( X443 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSubsetOf0(X436,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X428),X436) = sdtlpdtrp0(xc,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aSubsetOf0(X436,sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))))
| sbrdtbr0(X436) != xk
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X428)),sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X436,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))),xk))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X441,sdtlpdtrp0(xN,X428))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X428)),X441)
| ~ aElementOf0(X436,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))),xk))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElement0(X442)
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(X436,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))),xk))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( aElementOf0(X442,X436)
| X442 = szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElementOf0(X442,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(X436,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))),xk))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( ~ aElementOf0(X443,X436)
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(X436,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))),xk))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( X443 != szmzizndt0(sdtlpdtrp0(xN,X428))
| ~ aElement0(X443)
| aElementOf0(X443,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(X436,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))),xk))
| ~ aSet0(X436)
| ~ epred2_1(X428) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X428),X436) = sdtlpdtrp0(xc,sdtpldt0(X436,szmzizndt0(sdtlpdtrp0(xN,X428))))
| ~ aElementOf0(X436,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X428),szmzizndt0(sdtlpdtrp0(xN,X428))),xk))
| ~ aSet0(X436)
| ~ epred2_1(X428) ) ),
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]) ).
cnf(c_0_21,plain,
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))),xk))
| ~ aSet0(X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,hypothesis,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_23,hypothesis,
! [X411] :
( ~ aElementOf0(X411,szNzAzT0)
| epred1_1(X411) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
cnf(c_0_24,plain,
( sbrdtbr0(X1) = xk
| ~ 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,
( aSet0(X1)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2)))
| ~ epred2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,plain,
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))),szDzozmdt0(xc))
| ~ epred1_1(X2)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))),xk))
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
( szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,hypothesis,
( epred1_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,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_32,plain,
sbrdtbr0(esk34_1(esk35_0)) = xk,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_33,plain,
aSet0(esk34_1(esk35_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_26])]) ).
cnf(c_0_34,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_35,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_36,plain,
! [X355,X356] :
( ~ aFunction0(X355)
| ~ aElementOf0(X356,szDzozmdt0(X355))
| aElementOf0(sdtlpdtrp0(X355,X356),sdtlcdtrc0(X355,szDzozmdt0(X355))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgRng])])]) ).
cnf(c_0_37,plain,
( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))),szDzozmdt0(xc))
| ~ epred2_1(X2)
| ~ epred1_1(X2)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_27]) ).
cnf(c_0_38,negated_conjecture,
epred1_1(esk33_0),
inference(spm,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_39,plain,
( sdtlpdtrp0(xc,sdtpldt0(esk34_1(esk35_0),szmzizndt0(sdtlpdtrp0(xN,X1)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),esk34_1(esk35_0))
| ~ epred2_1(X1)
| ~ aSubsetOf0(esk34_1(esk35_0),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_40,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_34,c_0_25]),c_0_26])]) ).
cnf(c_0_41,negated_conjecture,
sdtlpdtrp0(sdtlpdtrp0(xC,esk33_0),esk34_1(esk35_0)) = esk35_0,
inference(spm,[status(thm)],[c_0_35,c_0_18]) ).
cnf(c_0_42,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,negated_conjecture,
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(spm,[status(thm)],[c_0_37,c_0_25]),c_0_26]),c_0_38])]) ).
cnf(c_0_44,negated_conjecture,
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(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_26])]) ).
cnf(c_0_45,hypothesis,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_46,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_47,negated_conjecture,
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_42,c_0_43]),c_0_44]),c_0_45])]) ).
cnf(c_0_48,negated_conjecture,
~ aElementOf0(esk35_0,xT),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_49,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM585+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n019.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 00:47:29 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 186.97/98.04 % Version : CSE_E---1.7
% 186.97/98.04 % Problem : theBenchmark.p
% 186.97/98.04 % SZS status Theorem for theBenchmark.p
% 186.97/98.04 % SZS output start CNFRefutation
% See solution above
% 187.35/98.44 % Total time : 82.532s
%------------------------------------------------------------------------------