%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM585+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:49:40 PM UTC 2026
% Result : Theorem 96.75s 16.40s
% Output : CNFRefutation 96.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 16 unt; 0 def)
% Number of atoms : 1585 ( 227 equ)
% Maximal formula atoms : 693 ( 33 avg)
% Number of connectives : 2431 ( 893 ~;1072 |; 373 &)
% ( 20 <=>; 73 =>; 0 <=; 0 <~>)
% Maximal formula depth : 134 ( 11 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 133 ( 0 sgn 111 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
<=> ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X2
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1)))) )
=> ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))),xT)
| ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
=> aElementOf0(X2,xT) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__4151,hypothesis,
( ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ! [X2] :
( ( ( ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( X3 != szmzizndt0(sdtlpdtrp0(xN,X1))
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
=> ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
| ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ) ) )
& aSet0(X2) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( ( X3 = szmzizndt0(sdtlpdtrp0(xN,X1))
| aElementOf0(X3,X2) )
& aElement0(X3) ) )
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSet0(X2) ) ) )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) )
& ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( sbrdtbr0(X2) = xk
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSet0(X2) ) ) )
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( X2 != szmzizndt0(sdtlpdtrp0(xN,X1))
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& aFunction0(sdtlpdtrp0(xC,X1)) ) )
& szDzozmdt0(xC) = szNzAzT0
& aFunction0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4151) ).
fof(m__3965,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( ( ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( X3 != szmzizndt0(sdtlpdtrp0(xN,X1))
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
=> ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
| ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ) ) )
& aSet0(X2) )
=> ( aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK))
& sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK
& aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
=> aElementOf0(X3,xS) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( ( X3 = szmzizndt0(sdtlpdtrp0(xN,X1))
| aElementOf0(X3,X2) )
& aElement0(X3) ) )
& aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3965) ).
fof(m__3453,hypothesis,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X1,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X1] :
( ( ( sbrdtbr0(X1) = xK
& ( aSubsetOf0(X1,xS)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSet0(X1) ) ) )
=> aElementOf0(X1,szDzozmdt0(xc)) )
& ( aElementOf0(X1,szDzozmdt0(xc))
=> ( sbrdtbr0(X1) = xK
& aSubsetOf0(X1,xS)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSet0(X1) ) ) )
& aFunction0(xc) ),
file('/export/starexec/sandbox2/benchmark/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/sandbox2/benchmark/theBenchmark.p',mImgRng) ).
fof(c_0_5,plain,
! [X1] :
( epred2_1(X1)
<=> ( ! [X2] :
( ( ( ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( X3 != szmzizndt0(sdtlpdtrp0(xN,X1))
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
=> ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
| ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ) ) )
& aSet0(X2) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( ( X3 = szmzizndt0(sdtlpdtrp0(xN,X1))
| aElementOf0(X3,X2) )
& aElement0(X3) ) )
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSet0(X2) ) ) )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) )
& ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( sbrdtbr0(X2) = xk
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSet0(X2) ) ) )
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( X2 != szmzizndt0(sdtlpdtrp0(xN,X1))
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& aFunction0(sdtlpdtrp0(xC,X1)) ) ),
introduced(definition) ).
fof(c_0_6,plain,
! [X1] :
( epred1_1(X1)
<=> ! [X2] :
( ( ( ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( X3 != szmzizndt0(sdtlpdtrp0(xN,X1))
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
=> ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
| ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ) ) )
& aSet0(X2) )
=> ( aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK))
& sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK
& aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
=> aElementOf0(X3,xS) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( ( X3 = szmzizndt0(sdtlpdtrp0(xN,X1))
| aElementOf0(X3,X2) )
& aElement0(X3) ) )
& aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) ) ) ),
introduced(definition) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
<=> ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X2
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1)))) )
=> ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))),xT)
| ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
=> aElementOf0(X2,xT) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_8,hypothesis,
( ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> epred2_1(X1) )
& szDzozmdt0(xC) = szNzAzT0
& aFunction0(xC) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[m__4151]),c_0_5]) ).
fof(c_0_9,plain,
! [X1] :
( epred1_1(X1)
=> ! [X2] :
( ( ( ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( X3 != szmzizndt0(sdtlpdtrp0(xN,X1))
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
=> ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
| ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ) ) )
& aSet0(X2) )
=> ( aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK))
& sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK
& aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
=> aElementOf0(X3,xS) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( ( X3 = szmzizndt0(sdtlpdtrp0(xN,X1))
| aElementOf0(X3,X2) )
& aElement0(X3) ) )
& aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) ) ) ),
inference(split_equiv,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X1] :
( epred2_1(X1)
=> ( ! [X2] :
( ( ( ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( X3 != szmzizndt0(sdtlpdtrp0(xN,X1))
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
=> ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
| ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ) ) )
& aSet0(X2) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( ( X3 = szmzizndt0(sdtlpdtrp0(xN,X1))
| aElementOf0(X3,X2) )
& aElement0(X3) ) )
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSet0(X2) ) ) )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) )
& ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( sbrdtbr0(X2) = xk
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSet0(X2) ) ) )
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( X2 != szmzizndt0(sdtlpdtrp0(xN,X1))
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& aFunction0(sdtlpdtrp0(xC,X1)) ) ),
inference(split_equiv,[status(thm)],[c_0_5]) ).
fof(c_0_11,negated_conjecture,
! [X224,X226] :
( ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))),xT)
& ~ aElementOf0(esk35_0,xT)
& aElementOf0(esk35_0,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))))
& ( aElementOf0(X224,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))))
| sdtlpdtrp0(sdtlpdtrp0(xC,esk33_0),X226) != X224
| ~ aElementOf0(X226,szDzozmdt0(sdtlpdtrp0(xC,esk33_0))) )
& ( ~ aElementOf0(X224,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))))
| sdtlpdtrp0(sdtlpdtrp0(xC,esk33_0),esk34_1(X224)) = X224 )
& ( ~ aElementOf0(X224,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))))
| aElementOf0(esk34_1(X224),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))))
& aElementOf0(esk33_0,szNzAzT0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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,
! [X222] :
( ( epred2_1(X222)
| ~ aElementOf0(X222,szNzAzT0) )
& szDzozmdt0(xC) = szNzAzT0
& aFunction0(xC) ),
inference(fof_nnf,[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)
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[m__3965]),c_0_6]) ).
fof(c_0_14,plain,
! [X228,X229,X230,X231,X232,X234,X235,X236,X237] :
( ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X229,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| aElementOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),slbdtsldtrb0(xS,xK)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X229,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| sbrdtbr0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) = xK )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X229,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| aSubsetOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),xS) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X229,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| aElementOf0(X237,xS)
| ~ aElementOf0(X237,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X229,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| X236 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X229,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| ~ aElementOf0(X236,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X229,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X235 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X235,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X229,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X235) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X229,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| aSet0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X229,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X234)
| ~ aElementOf0(X234,sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X229,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aSubsetOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),slbdtsldtrb0(xS,xK)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aSubsetOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| sbrdtbr0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) = xK )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aSubsetOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aSubsetOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),xS) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aSubsetOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X237,xS)
| ~ aElementOf0(X237,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aSubsetOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| X236 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aSubsetOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| ~ aElementOf0(X236,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aSubsetOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X235 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X235,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aSubsetOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X235) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aSubsetOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aSet0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aSubsetOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X234)
| ~ aElementOf0(X234,sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aSubsetOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aElementOf0(esk36_2(X228,X229),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),slbdtsldtrb0(xS,xK)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aElementOf0(esk36_2(X228,X229),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| sbrdtbr0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) = xK )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aElementOf0(esk36_2(X228,X229),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aSubsetOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),xS) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aElementOf0(esk36_2(X228,X229),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X237,xS)
| ~ aElementOf0(X237,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aElementOf0(esk36_2(X228,X229),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| X236 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aElementOf0(esk36_2(X228,X229),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| ~ aElementOf0(X236,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aElementOf0(esk36_2(X228,X229),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X235 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X235,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aElementOf0(esk36_2(X228,X229),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X235) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aElementOf0(esk36_2(X228,X229),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aSet0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aElementOf0(esk36_2(X228,X229),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X234)
| ~ aElementOf0(X234,sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| ~ aElementOf0(esk36_2(X228,X229),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| aElementOf0(esk36_2(X228,X229),X229)
| aElementOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),slbdtsldtrb0(xS,xK)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| aElementOf0(esk36_2(X228,X229),X229)
| sbrdtbr0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) = xK )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| aElementOf0(esk36_2(X228,X229),X229)
| aSubsetOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),xS) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| aElementOf0(esk36_2(X228,X229),X229)
| aElementOf0(X237,xS)
| ~ aElementOf0(X237,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| aElementOf0(esk36_2(X228,X229),X229)
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| X236 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| aElementOf0(esk36_2(X228,X229),X229)
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| ~ aElementOf0(X236,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| aElementOf0(esk36_2(X228,X229),X229)
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X235 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X235,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| aElementOf0(esk36_2(X228,X229),X229)
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X235) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| aElementOf0(esk36_2(X228,X229),X229)
| aSet0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| aElementOf0(esk36_2(X228,X229),X229)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X234)
| ~ aElementOf0(X234,sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sbrdtbr0(X229) != xk
| aElementOf0(esk36_2(X228,X229),X229)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X232,sdtlpdtrp0(xN,X228))
| ~ aElement0(X232)
| aElementOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),slbdtsldtrb0(xS,xK)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X232,sdtlpdtrp0(xN,X228))
| ~ aElement0(X232)
| sbrdtbr0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) = xK )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X232,sdtlpdtrp0(xN,X228))
| ~ aElement0(X232)
| aSubsetOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),xS) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X232,sdtlpdtrp0(xN,X228))
| ~ aElement0(X232)
| aElementOf0(X237,xS)
| ~ aElementOf0(X237,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X232,sdtlpdtrp0(xN,X228))
| ~ aElement0(X232)
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| X236 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X232,sdtlpdtrp0(xN,X228))
| ~ aElement0(X232)
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| ~ aElementOf0(X236,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X232,sdtlpdtrp0(xN,X228))
| ~ aElement0(X232)
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X235 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X235,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X232,sdtlpdtrp0(xN,X228))
| ~ aElement0(X232)
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X235) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X232,sdtlpdtrp0(xN,X228))
| ~ aElement0(X232)
| aSet0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X232,sdtlpdtrp0(xN,X228))
| ~ aElement0(X232)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X234)
| ~ aElementOf0(X234,sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X232,sdtlpdtrp0(xN,X228))
| ~ aElement0(X232)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X231 != szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),slbdtsldtrb0(xS,xK)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X231 != szmzizndt0(sdtlpdtrp0(xN,X228))
| sbrdtbr0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) = xK )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X231 != szmzizndt0(sdtlpdtrp0(xN,X228))
| aSubsetOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),xS) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X231 != szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X237,xS)
| ~ aElementOf0(X237,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X231 != szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| X236 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X231 != szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| ~ aElementOf0(X236,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X231 != szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X235 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X235,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X231 != szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X235) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X231 != szmzizndt0(sdtlpdtrp0(xN,X228))
| aSet0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X231 != szmzizndt0(sdtlpdtrp0(xN,X228))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X234)
| ~ aElementOf0(X234,sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X231 != szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X231,sdtlpdtrp0(xN,X228))
| aElementOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),slbdtsldtrb0(xS,xK)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X231,sdtlpdtrp0(xN,X228))
| sbrdtbr0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) = xK )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X231,sdtlpdtrp0(xN,X228))
| aSubsetOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),xS) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X231,sdtlpdtrp0(xN,X228))
| aElementOf0(X237,xS)
| ~ aElementOf0(X237,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X231,sdtlpdtrp0(xN,X228))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| X236 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X231,sdtlpdtrp0(xN,X228))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| ~ aElementOf0(X236,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X231,sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X235 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X235,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X231,sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X235) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X231,sdtlpdtrp0(xN,X228))
| aSet0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X231,sdtlpdtrp0(xN,X228))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X234)
| ~ aElementOf0(X234,sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X231,sdtlpdtrp0(xN,X228))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X231)
| aElementOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),slbdtsldtrb0(xS,xK)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X231)
| sbrdtbr0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) = xK )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X231)
| aSubsetOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),xS) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X231)
| aElementOf0(X237,xS)
| ~ aElementOf0(X237,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X231)
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| X236 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X231)
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| ~ aElementOf0(X236,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X231)
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X235 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X235,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X231)
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X235) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X231)
| aSet0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X231)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X234)
| ~ aElementOf0(X234,sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X231)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),slbdtsldtrb0(xS,xK)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| sbrdtbr0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) = xK )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aSubsetOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),xS) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X237,xS)
| ~ aElementOf0(X237,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| X236 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| ~ aElementOf0(X236,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X235 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X235,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X235) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aSet0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X234)
| ~ aElementOf0(X234,sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X230)
| ~ aElementOf0(X230,sdtlpdtrp0(xN,X228))
| aElementOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),slbdtsldtrb0(xS,xK)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X230)
| ~ aElementOf0(X230,sdtlpdtrp0(xN,X228))
| sbrdtbr0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) = xK )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X230)
| ~ aElementOf0(X230,sdtlpdtrp0(xN,X228))
| aSubsetOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),xS) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X230)
| ~ aElementOf0(X230,sdtlpdtrp0(xN,X228))
| aElementOf0(X237,xS)
| ~ aElementOf0(X237,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X230)
| ~ aElementOf0(X230,sdtlpdtrp0(xN,X228))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| X236 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X230)
| ~ aElementOf0(X230,sdtlpdtrp0(xN,X228))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| ~ aElementOf0(X236,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X230)
| ~ aElementOf0(X230,sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X235 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X235,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X230)
| ~ aElementOf0(X230,sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X235) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X230)
| ~ aElementOf0(X230,sdtlpdtrp0(xN,X228))
| aSet0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X230)
| ~ aElementOf0(X230,sdtlpdtrp0(xN,X228))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X234)
| ~ aElementOf0(X234,sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X230)
| ~ aElementOf0(X230,sdtlpdtrp0(xN,X228))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| aElementOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),slbdtsldtrb0(xS,xK)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| sbrdtbr0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) = xK )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| aSubsetOf0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))),xS) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| aElementOf0(X237,xS)
| ~ aElementOf0(X237,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| X236 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| aElementOf0(X236,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X236)
| ~ aElementOf0(X236,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X235 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X235,X229) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X235,sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X235) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| aSet0(sdtpldt0(X229,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X234)
| ~ aElementOf0(X234,sdtlpdtrp0(xN,X228)) )
& ( ~ epred1_1(X228)
| ~ aSet0(X229)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])])]) ).
fof(c_0_15,hypothesis,
! [X179,X180,X181,X183,X185,X186,X187] :
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ( aElementOf0(X187,xT)
| ~ aElementOf0(X187,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( aElementOf0(X185,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sdtlpdtrp0(xc,X186) != X185
| ~ aElementOf0(X186,szDzozmdt0(xc)) )
& ( ~ aElementOf0(X183,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sdtlpdtrp0(xc,esk21_1(X183)) = X183 )
& ( ~ aElementOf0(X183,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(esk21_1(X183),szDzozmdt0(xc)) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ( aElementOf0(X181,szDzozmdt0(xc))
| sbrdtbr0(X181) != xK
| ~ aSubsetOf0(X181,xS) )
& ( aElementOf0(X181,szDzozmdt0(xc))
| sbrdtbr0(X181) != xK
| ~ aSet0(X181)
| ~ aElementOf0(esk20_1(X181),xS) )
& ( aElementOf0(X181,szDzozmdt0(xc))
| sbrdtbr0(X181) != xK
| ~ aSet0(X181)
| aElementOf0(esk20_1(X181),X181) )
& ( ~ aElementOf0(X179,szDzozmdt0(xc))
| sbrdtbr0(X179) = xK )
& ( ~ aElementOf0(X179,szDzozmdt0(xc))
| aSubsetOf0(X179,xS) )
& ( ~ aElementOf0(X179,szDzozmdt0(xc))
| aElementOf0(X180,xS)
| ~ aElementOf0(X180,X179) )
& ( ~ aElementOf0(X179,szDzozmdt0(xc))
| aSet0(X179) )
& aFunction0(xc) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3453])])])])])])]) ).
fof(c_0_16,plain,
! [X238,X239,X240,X241,X242,X243,X244,X246,X247,X248,X249,X251,X252,X253] :
( ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X246,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X238),X246) = sdtlpdtrp0(xc,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238)))) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X246,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))),xk))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| X253 != szmzizndt0(sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X246,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))),xk))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| ~ aElementOf0(X253,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X246,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))),xk))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| X252 = szmzizndt0(sdtlpdtrp0(xN,X238))
| aElementOf0(X252,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X246,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))),xk))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X252) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X246,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))),xk))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X251)
| ~ aElementOf0(X251,sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X246,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))),xk))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| ~ aSubsetOf0(X246,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| sdtlpdtrp0(sdtlpdtrp0(xC,X238),X246) = sdtlpdtrp0(xc,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238)))) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| ~ aSubsetOf0(X246,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| X253 != szmzizndt0(sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| ~ aSubsetOf0(X246,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| ~ aElementOf0(X253,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| ~ aSubsetOf0(X246,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| X252 = szmzizndt0(sdtlpdtrp0(xN,X238))
| aElementOf0(X252,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| ~ aSubsetOf0(X246,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X252) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| ~ aSubsetOf0(X246,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X251)
| ~ aElementOf0(X251,sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| ~ aSubsetOf0(X246,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| ~ aElementOf0(esk38_2(X238,X246),sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| sdtlpdtrp0(sdtlpdtrp0(xC,X238),X246) = sdtlpdtrp0(xc,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238)))) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| ~ aElementOf0(esk38_2(X238,X246),sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| X253 != szmzizndt0(sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| ~ aElementOf0(esk38_2(X238,X246),sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| ~ aElementOf0(X253,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| ~ aElementOf0(esk38_2(X238,X246),sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| X252 = szmzizndt0(sdtlpdtrp0(xN,X238))
| aElementOf0(X252,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| ~ aElementOf0(esk38_2(X238,X246),sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X252) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| ~ aElementOf0(esk38_2(X238,X246),sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X251)
| ~ aElementOf0(X251,sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| ~ aElementOf0(esk38_2(X238,X246),sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| aElementOf0(esk38_2(X238,X246),X246)
| sdtlpdtrp0(sdtlpdtrp0(xC,X238),X246) = sdtlpdtrp0(xc,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238)))) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| aElementOf0(esk38_2(X238,X246),X246)
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| X253 != szmzizndt0(sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| aElementOf0(esk38_2(X238,X246),X246)
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| ~ aElementOf0(X253,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| aElementOf0(esk38_2(X238,X246),X246)
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| X252 = szmzizndt0(sdtlpdtrp0(xN,X238))
| aElementOf0(X252,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| aElementOf0(esk38_2(X238,X246),X246)
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X252) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| aElementOf0(esk38_2(X238,X246),X246)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X251)
| ~ aElementOf0(X251,sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| aElementOf0(esk38_2(X238,X246),X246)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aElementOf0(X249,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X249 = szmzizndt0(sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X249,sdtlpdtrp0(xN,X238))
| ~ aElement0(X249)
| sdtlpdtrp0(sdtlpdtrp0(xC,X238),X246) = sdtlpdtrp0(xc,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238)))) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aElementOf0(X249,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X249 = szmzizndt0(sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X249,sdtlpdtrp0(xN,X238))
| ~ aElement0(X249)
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| X253 != szmzizndt0(sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aElementOf0(X249,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X249 = szmzizndt0(sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X249,sdtlpdtrp0(xN,X238))
| ~ aElement0(X249)
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| ~ aElementOf0(X253,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aElementOf0(X249,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X249 = szmzizndt0(sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X249,sdtlpdtrp0(xN,X238))
| ~ aElement0(X249)
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| X252 = szmzizndt0(sdtlpdtrp0(xN,X238))
| aElementOf0(X252,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aElementOf0(X249,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X249 = szmzizndt0(sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X249,sdtlpdtrp0(xN,X238))
| ~ aElement0(X249)
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X252) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aElementOf0(X249,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X249 = szmzizndt0(sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X249,sdtlpdtrp0(xN,X238))
| ~ aElement0(X249)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X251)
| ~ aElementOf0(X251,sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aElementOf0(X249,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X249 = szmzizndt0(sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X249,sdtlpdtrp0(xN,X238))
| ~ aElement0(X249)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X248 != szmzizndt0(sdtlpdtrp0(xN,X238))
| sdtlpdtrp0(sdtlpdtrp0(xC,X238),X246) = sdtlpdtrp0(xc,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238)))) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X248 != szmzizndt0(sdtlpdtrp0(xN,X238))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| X253 != szmzizndt0(sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X248 != szmzizndt0(sdtlpdtrp0(xN,X238))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| ~ aElementOf0(X253,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X248 != szmzizndt0(sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| X252 = szmzizndt0(sdtlpdtrp0(xN,X238))
| aElementOf0(X252,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X248 != szmzizndt0(sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X252) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X248 != szmzizndt0(sdtlpdtrp0(xN,X238))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X251)
| ~ aElementOf0(X251,sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X248 != szmzizndt0(sdtlpdtrp0(xN,X238))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(X248,sdtlpdtrp0(xN,X238))
| sdtlpdtrp0(sdtlpdtrp0(xC,X238),X246) = sdtlpdtrp0(xc,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238)))) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(X248,sdtlpdtrp0(xN,X238))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| X253 != szmzizndt0(sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(X248,sdtlpdtrp0(xN,X238))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| ~ aElementOf0(X253,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(X248,sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| X252 = szmzizndt0(sdtlpdtrp0(xN,X238))
| aElementOf0(X252,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(X248,sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X252) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(X248,sdtlpdtrp0(xN,X238))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X251)
| ~ aElementOf0(X251,sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(X248,sdtlpdtrp0(xN,X238))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X248)
| sdtlpdtrp0(sdtlpdtrp0(xC,X238),X246) = sdtlpdtrp0(xc,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238)))) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X248)
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| X253 != szmzizndt0(sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X248)
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| ~ aElementOf0(X253,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X248)
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| X252 = szmzizndt0(sdtlpdtrp0(xN,X238))
| aElementOf0(X252,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X248)
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X252) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X248)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X251)
| ~ aElementOf0(X251,sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| ~ aElementOf0(X248,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X248)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| sdtlpdtrp0(sdtlpdtrp0(xC,X238),X246) = sdtlpdtrp0(xc,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238)))) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| X253 != szmzizndt0(sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| ~ aElementOf0(X253,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| X252 = szmzizndt0(sdtlpdtrp0(xN,X238))
| aElementOf0(X252,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X252) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X251)
| ~ aElementOf0(X251,sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X247)
| ~ aElementOf0(X247,sdtlpdtrp0(xN,X238))
| sdtlpdtrp0(sdtlpdtrp0(xC,X238),X246) = sdtlpdtrp0(xc,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238)))) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X247)
| ~ aElementOf0(X247,sdtlpdtrp0(xN,X238))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| X253 != szmzizndt0(sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X247)
| ~ aElementOf0(X247,sdtlpdtrp0(xN,X238))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| ~ aElementOf0(X253,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X247)
| ~ aElementOf0(X247,sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| X252 = szmzizndt0(sdtlpdtrp0(xN,X238))
| aElementOf0(X252,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X247)
| ~ aElementOf0(X247,sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X252) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X247)
| ~ aElementOf0(X247,sdtlpdtrp0(xN,X238))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X251)
| ~ aElementOf0(X251,sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X247)
| ~ aElementOf0(X247,sdtlpdtrp0(xN,X238))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238))
| sdtlpdtrp0(sdtlpdtrp0(xC,X238),X246) = sdtlpdtrp0(xc,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238)))) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| X253 != szmzizndt0(sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238))
| aElementOf0(X253,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElement0(X253)
| ~ aElementOf0(X253,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| X252 = szmzizndt0(sdtlpdtrp0(xN,X238))
| aElementOf0(X252,X246) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X252,sdtpldt0(X246,szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X252) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X251)
| ~ aElementOf0(X251,sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aSet0(X246)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| szDzozmdt0(sdtlpdtrp0(xC,X238)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))),xk) )
& ( ~ epred2_1(X238)
| aElementOf0(X244,szDzozmdt0(sdtlpdtrp0(xC,X238)))
| sbrdtbr0(X244) != xk
| ~ aSubsetOf0(X244,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238)))) )
& ( ~ epred2_1(X238)
| aElementOf0(X244,szDzozmdt0(sdtlpdtrp0(xC,X238)))
| sbrdtbr0(X244) != xk
| ~ aSet0(X244)
| ~ aElementOf0(esk37_2(X238,X244),sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238)))) )
& ( ~ epred2_1(X238)
| aElementOf0(X244,szDzozmdt0(sdtlpdtrp0(xC,X238)))
| sbrdtbr0(X244) != xk
| ~ aSet0(X244)
| aElementOf0(esk37_2(X238,X244),X244) )
& ( ~ epred2_1(X238)
| ~ aElementOf0(X242,szDzozmdt0(sdtlpdtrp0(xC,X238)))
| sbrdtbr0(X242) = xk )
& ( ~ epred2_1(X238)
| ~ aElementOf0(X242,szDzozmdt0(sdtlpdtrp0(xC,X238)))
| aSubsetOf0(X242,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238)))) )
& ( ~ epred2_1(X238)
| ~ aElementOf0(X242,szDzozmdt0(sdtlpdtrp0(xC,X238)))
| aElementOf0(X243,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| ~ aElementOf0(X243,X242) )
& ( ~ epred2_1(X238)
| ~ aElementOf0(X242,szDzozmdt0(sdtlpdtrp0(xC,X238)))
| aSet0(X242) )
& ( ~ epred2_1(X238)
| aElementOf0(X241,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X241 = szmzizndt0(sdtlpdtrp0(xN,X238))
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X238))
| ~ aElement0(X241) )
& ( ~ epred2_1(X238)
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| X240 != szmzizndt0(sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElementOf0(X240,sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| ~ aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238))))
| aElement0(X240) )
& ( ~ epred2_1(X238)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X238),szmzizndt0(sdtlpdtrp0(xN,X238)))) )
& ( ~ epred2_1(X238)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X238)),X239)
| ~ aElementOf0(X239,sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X238)),sdtlpdtrp0(xN,X238)) )
& ( ~ epred2_1(X238)
| aFunction0(sdtlpdtrp0(xC,X238)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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(X1,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))))
| aElementOf0(esk34_1(X1),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,
( ~ aElementOf0(X1,szNzAzT0)
| epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
aElementOf0(esk33_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_21,hypothesis,
! [X221] :
( epred1_1(X221)
| ~ aElementOf0(X221,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_22,plain,
( ~ epred1_1(X2)
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))),slbdtsldtrb0(xS,xK)) ),
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,
( ~ epred2_1(X2)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2)))
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,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,
( ~ epred2_1(X2)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2)))
| sbrdtbr0(X1) = xk ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,hypothesis,
( ~ aElementOf0(X1,szNzAzT0)
| epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( ~ epred2_1(X2)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2)))
| aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,negated_conjecture,
( ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))))
| sdtlpdtrp0(sdtlpdtrp0(xC,esk33_0),esk34_1(X1)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_31,plain,
! [X165,X166] :
( aElementOf0(sdtlpdtrp0(X165,X166),sdtlcdtrc0(X165,szDzozmdt0(X165)))
| ~ aElementOf0(X166,szDzozmdt0(X165))
| ~ aFunction0(X165) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgRng])])])]) ).
cnf(c_0_32,plain,
( ~ aSet0(X1)
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ epred1_1(X2)
| sbrdtbr0(X1) != xk
| aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))),szDzozmdt0(xc)) ),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_33,negated_conjecture,
aSubsetOf0(esk34_1(esk35_0),sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_34,negated_conjecture,
sbrdtbr0(esk34_1(esk35_0)) = xk,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_26])]) ).
cnf(c_0_35,negated_conjecture,
epred1_1(esk33_0),
inference(spm,[status(thm)],[c_0_28,c_0_20]) ).
cnf(c_0_36,negated_conjecture,
aSet0(esk34_1(esk35_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25]),c_0_26])]) ).
cnf(c_0_37,plain,
( ~ epred2_1(X1)
| ~ aSet0(X2)
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_38,negated_conjecture,
sdtlpdtrp0(sdtlpdtrp0(xC,esk33_0),esk34_1(esk35_0)) = esk35_0,
inference(spm,[status(thm)],[c_0_30,c_0_18]) ).
cnf(c_0_39,plain,
( ~ aElementOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1)
| aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
aElementOf0(sdtpldt0(esk34_1(esk35_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))),szDzozmdt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]),c_0_36])]) ).
cnf(c_0_41,plain,
sdtlpdtrp0(xc,sdtpldt0(esk34_1(esk35_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) = esk35_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_33]),c_0_38]),c_0_34]),c_0_26]),c_0_36])]) ).
cnf(c_0_42,hypothesis,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_43,hypothesis,
( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_44,plain,
aElementOf0(esk35_0,sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_45,negated_conjecture,
~ aElementOf0(esk35_0,xT),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_46,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM585+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.45 % Computer : n016.cluster.edu
% 0.21/0.45 % Model : x86_64 x86_64
% 0.21/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.45 % Memory : 8046.5625MB
% 0.21/0.45 % OS : Linux 6.8.0-71-generic
% 0.21/0.45 % CPULimit : 300
% 0.21/0.45 % WCLimit : 300
% 0.21/0.45 % DateTime : Mon Sep 21 02:47:08 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.21/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.53 Running first-order theorem proving
% 0.23/0.53 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 96.75/16.40 % Version: 3.5.1
% 96.75/16.40 % Preprocessing class: FSLSSMSMSSSNFFN.
% 96.75/16.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 96.75/16.40 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 96.75/16.40 % Starting new_bool_3 with 300s (1) cores
% 96.75/16.40 % Starting new_bool_1 with 300s (1) cores
% 96.75/16.40 % Starting sh5l with 300s (1) cores
% 96.75/16.40 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1390561 completed with status 0
% 96.75/16.40 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 96.75/16.40 % Preprocessing class: FSLSSMSMSSSNFFN.
% 96.75/16.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 96.75/16.40 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 96.75/16.40 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 96.75/16.40 % No SInE strategy applied
% 96.75/16.40 % Search class: FGHSF-SMLM32-MFFFFFNN
% 96.75/16.40 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 96.75/16.40 % Starting SubtermCWHack with 136s (1) cores
% 96.75/16.40 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 96.75/16.40 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 96.75/16.40 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 96.75/16.40 % Starting new_bool_3 with 136s (1) cores
% 96.75/16.40 % new_bool_3 with pid 1390572 completed with status 0
% 96.75/16.40 % Result found by new_bool_3
% 96.75/16.40 % Preprocessing class: FSLSSMSMSSSNFFN.
% 96.75/16.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 96.75/16.40 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 96.75/16.40 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 96.75/16.40 % No SInE strategy applied
% 96.75/16.40 % Search class: FGHSF-SMLM32-MFFFFFNN
% 96.75/16.40 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 96.75/16.40 % Starting SubtermCWHack with 136s (1) cores
% 96.75/16.40 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 96.75/16.40 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 96.75/16.40 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 96.75/16.40 % Starting new_bool_3 with 136s (1) cores
% 96.75/16.40 % Preprocessing time : 0.259 s
% 96.75/16.40 % Presaturation interreduction done
% 96.75/16.40
% 96.75/16.40 % Proof found!
% 96.75/16.40 % SZS status Theorem
% 96.75/16.40 % SZS output start CNFRefutation
% See solution above
% 96.75/16.40 % Parsed axioms : 87
% 96.75/16.40 % Removed by relevancy pruning/SinE : 0
% 96.75/16.40 % Initial clauses : 4412
% 96.75/16.40 % Removed in clause preprocessing : 7
% 96.75/16.40 % Initial clauses in saturation : 4405
% 96.75/16.40 % Processed clauses : 12525
% 96.75/16.40 % ...of these trivial : 253
% 96.75/16.40 % ...subsumed : 2520
% 96.75/16.40 % ...remaining for further processing : 9752
% 96.75/16.40 % Other redundant clauses eliminated : 1972
% 96.75/16.40 % Clauses deleted for lack of memory : 0
% 96.75/16.40 % Backward-subsumed : 31
% 96.75/16.40 % Backward-rewritten : 209
% 96.75/16.40 % Generated clauses : 36242
% 96.75/16.40 % ...of the previous two non-redundant : 33697
% 96.75/16.40 % ...aggressively subsumed : 0
% 96.75/16.40 % Contextual simplify-reflections : 209
% 96.75/16.40 % Paramodulations : 34456
% 96.75/16.40 % Factorizations : 6
% 96.75/16.40 % NegExts : 0
% 96.75/16.40 % Equation resolutions : 1976
% 96.75/16.40 % Disequality decompositions : 0
% 96.75/16.40 % Total rewrite steps : 21224
% 96.75/16.40 % ...of those cached : 20392
% 96.75/16.40 % Propositional unsat checks : 2
% 96.75/16.40 % Propositional check models : 2
% 96.75/16.40 % Propositional check unsatisfiable : 0
% 96.75/16.40 % Propositional clauses : 0
% 96.75/16.40 % Propositional clauses after purity: 0
% 96.75/16.40 % Propositional unsat core size : 0
% 96.75/16.40 % Propositional preprocessing time : 0.000
% 96.75/16.40 % Propositional encoding time : 0.066
% 96.75/16.40 % Propositional solver time : 0.002
% 96.75/16.40 % Success case prop preproc time : 0.000
% 96.75/16.40 % Success case prop encoding time : 0.000
% 96.75/16.40 % Success case prop solver time : 0.000
% 96.75/16.40 % Current number of processed clauses : 4015
% 96.75/16.40 % Positive orientable unit clauses : 1206
% 96.75/16.40 % Positive unorientable unit clauses: 0
% 96.75/16.40 % Negative unit clauses : 57
% 96.75/16.40 % Non-unit-clauses : 2752
% 96.75/16.40 % Current number of unprocessed clauses: 28752
% 96.75/16.40 % ...number of literals in the above : 132526
% 96.75/16.40 % Current number of archived formulas : 0
% 96.75/16.40 % Current number of archived clauses : 3962
% 96.75/16.40 % Clause-clause subsumption calls (NU) : 8566934
% 96.75/16.40 % Rec. Clause-clause subsumption calls : 524139
% 96.75/16.40 % Non-unit clause-clause subsumptions : 2524
% 96.75/16.40 % Unit Clause-clause subsumption calls : 138886
% 96.75/16.40 % Rewrite failures with RHS unbound : 0
% 96.75/16.40 % BW rewrite match attempts : 5888
% 96.75/16.40 % BW rewrite match successes : 62
% 96.75/16.40 % Condensation attempts : 0
% 96.75/16.40 % Condensation successes : 0
% 96.75/16.40 % Termbank termtop insertions : 1521184
% 96.75/16.40 % Search garbage collected termcells : 28717
% 96.75/16.40
% 96.75/16.40 % -------------------------------------------------
% 96.75/16.40 % User time : 15.212 s
% 96.75/16.40 % System time : 0.139 s
% 96.75/16.40 % Total time : 15.351 s
% 96.75/16.40 % Maximum resident set size: 15556 pages
% 96.75/16.40
% 96.75/16.40 % -------------------------------------------------
% 96.75/16.40 % User time : 64.967 s
% 96.75/16.40 % System time : 0.447 s
% 96.75/16.40 % Total time : 65.414 s
% 96.75/16.40 % Maximum resident set size: 4864 pages
% 96.75/16.40 % E exiting
%------------------------------------------------------------------------------