%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUM586+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 : n011.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 01:55:36 PM UTC 2026
% Result : Theorem 8.61s 2.00s
% Output : CNFRefutation 8.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 833 ( 151 equ)
% Maximal formula atoms : 518 ( 24 avg)
% Number of connectives : 1243 ( 444 ~; 517 |; 218 &)
% ( 15 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 113 ( 10 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-3 aty)
% Number of variables : 93 ( 1 sgn 75 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4200_02,hypothesis,
( aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi))))
& ? [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx
& aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xi))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4200_02) ).
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__,conjecture,
? [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx
& ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( X2 != szmzizndt0(sdtlpdtrp0(xN,xi))
& aElementOf0(X2,sdtlpdtrp0(xN,xi))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mDefSel,axiom,
! [X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aSet0(X1) )
=> ! [X3] :
( X3 = slbdtsldtrb0(X1,X2)
<=> ( ! [X4] :
( aElementOf0(X4,X3)
<=> ( sbrdtbr0(X4) = X2
& aSubsetOf0(X4,X1) ) )
& aSet0(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(m__4200,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4200) ).
fof(m__3533,hypothesis,
( szszuzczcdt0(xk) = xK
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(c_0_6,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_7,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_6]) ).
fof(c_0_8,plain,
! [X228,X229,X230,X231,X232,X233,X234,X236,X237,X238,X239,X241,X242,X243] :
( ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X236,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X228),X236) = sdtlpdtrp0(xc,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X236,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| X243 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X236,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| ~ aElementOf0(X243,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X236,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X242 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X242,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X236,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X242) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X236,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X236,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| ~ aSubsetOf0(X236,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| sdtlpdtrp0(sdtlpdtrp0(xC,X228),X236) = sdtlpdtrp0(xc,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| ~ aSubsetOf0(X236,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| X243 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| ~ aSubsetOf0(X236,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| ~ aElementOf0(X243,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| ~ aSubsetOf0(X236,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X242 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X242,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| ~ aSubsetOf0(X236,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X242) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| ~ aSubsetOf0(X236,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| ~ aSubsetOf0(X236,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| ~ aElementOf0(esk35_2(X228,X236),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| sdtlpdtrp0(sdtlpdtrp0(xC,X228),X236) = sdtlpdtrp0(xc,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| ~ aElementOf0(esk35_2(X228,X236),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| X243 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| ~ aElementOf0(esk35_2(X228,X236),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| ~ aElementOf0(X243,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| ~ aElementOf0(esk35_2(X228,X236),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X242 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X242,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| ~ aElementOf0(esk35_2(X228,X236),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X242) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| ~ aElementOf0(esk35_2(X228,X236),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| ~ aElementOf0(esk35_2(X228,X236),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| aElementOf0(esk35_2(X228,X236),X236)
| sdtlpdtrp0(sdtlpdtrp0(xC,X228),X236) = sdtlpdtrp0(xc,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| aElementOf0(esk35_2(X228,X236),X236)
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| X243 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| aElementOf0(esk35_2(X228,X236),X236)
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| ~ aElementOf0(X243,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| aElementOf0(esk35_2(X228,X236),X236)
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X242 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X242,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| aElementOf0(esk35_2(X228,X236),X236)
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X242) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| aElementOf0(esk35_2(X228,X236),X236)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sbrdtbr0(X236) != xk
| aElementOf0(esk35_2(X228,X236),X236)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X239 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X239,sdtlpdtrp0(xN,X228))
| ~ aElement0(X239)
| sdtlpdtrp0(sdtlpdtrp0(xC,X228),X236) = sdtlpdtrp0(xc,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X239 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X239,sdtlpdtrp0(xN,X228))
| ~ aElement0(X239)
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| X243 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X239 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X239,sdtlpdtrp0(xN,X228))
| ~ aElement0(X239)
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| ~ aElementOf0(X243,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X239 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X239,sdtlpdtrp0(xN,X228))
| ~ aElement0(X239)
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X242 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X242,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X239 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X239,sdtlpdtrp0(xN,X228))
| ~ aElement0(X239)
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X242) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X239 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X239,sdtlpdtrp0(xN,X228))
| ~ aElement0(X239)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X239 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X239,sdtlpdtrp0(xN,X228))
| ~ aElement0(X239)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X238 != szmzizndt0(sdtlpdtrp0(xN,X228))
| sdtlpdtrp0(sdtlpdtrp0(xC,X228),X236) = sdtlpdtrp0(xc,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X238 != szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| X243 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X238 != szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| ~ aElementOf0(X243,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X238 != szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X242 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X242,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X238 != szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X242) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X238 != szmzizndt0(sdtlpdtrp0(xN,X228))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X238 != szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X238,sdtlpdtrp0(xN,X228))
| sdtlpdtrp0(sdtlpdtrp0(xC,X228),X236) = sdtlpdtrp0(xc,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X238,sdtlpdtrp0(xN,X228))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| X243 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X238,sdtlpdtrp0(xN,X228))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| ~ aElementOf0(X243,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X238,sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X242 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X242,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X238,sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X242) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X238,sdtlpdtrp0(xN,X228))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X238,sdtlpdtrp0(xN,X228))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X238)
| sdtlpdtrp0(sdtlpdtrp0(xC,X228),X236) = sdtlpdtrp0(xc,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X238)
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| X243 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X238)
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| ~ aElementOf0(X243,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X238)
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X242 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X242,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X238)
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X242) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X238)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| ~ aElementOf0(X238,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X238)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| sdtlpdtrp0(sdtlpdtrp0(xC,X228),X236) = sdtlpdtrp0(xc,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| X243 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| ~ aElementOf0(X243,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X242 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X242,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X242) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X237)
| ~ aElementOf0(X237,sdtlpdtrp0(xN,X228))
| sdtlpdtrp0(sdtlpdtrp0(xC,X228),X236) = sdtlpdtrp0(xc,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X237)
| ~ aElementOf0(X237,sdtlpdtrp0(xN,X228))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| X243 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X237)
| ~ aElementOf0(X237,sdtlpdtrp0(xN,X228))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| ~ aElementOf0(X243,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X237)
| ~ aElementOf0(X237,sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X242 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X242,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X237)
| ~ aElementOf0(X237,sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X242) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X237)
| ~ aElementOf0(X237,sdtlpdtrp0(xN,X228))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X237)
| ~ aElementOf0(X237,sdtlpdtrp0(xN,X228))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| sdtlpdtrp0(sdtlpdtrp0(xC,X228),X236) = sdtlpdtrp0(xc,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| X243 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| aElementOf0(X243,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElement0(X243)
| ~ aElementOf0(X243,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| X242 = szmzizndt0(sdtlpdtrp0(xN,X228))
| aElementOf0(X242,X236) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X242,sdtpldt0(X236,szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X242) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X241)
| ~ aElementOf0(X241,sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aSet0(X236)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| szDzozmdt0(sdtlpdtrp0(xC,X228)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))),xk) )
& ( ~ epred2_1(X228)
| aElementOf0(X234,szDzozmdt0(sdtlpdtrp0(xC,X228)))
| sbrdtbr0(X234) != xk
| ~ aSubsetOf0(X234,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred2_1(X228)
| aElementOf0(X234,szDzozmdt0(sdtlpdtrp0(xC,X228)))
| sbrdtbr0(X234) != xk
| ~ aSet0(X234)
| ~ aElementOf0(esk34_2(X228,X234),sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred2_1(X228)
| aElementOf0(X234,szDzozmdt0(sdtlpdtrp0(xC,X228)))
| sbrdtbr0(X234) != xk
| ~ aSet0(X234)
| aElementOf0(esk34_2(X228,X234),X234) )
& ( ~ epred2_1(X228)
| ~ aElementOf0(X232,szDzozmdt0(sdtlpdtrp0(xC,X228)))
| sbrdtbr0(X232) = xk )
& ( ~ epred2_1(X228)
| ~ aElementOf0(X232,szDzozmdt0(sdtlpdtrp0(xC,X228)))
| aSubsetOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred2_1(X228)
| ~ aElementOf0(X232,szDzozmdt0(sdtlpdtrp0(xC,X228)))
| aElementOf0(X233,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| ~ aElementOf0(X233,X232) )
& ( ~ epred2_1(X228)
| ~ aElementOf0(X232,szDzozmdt0(sdtlpdtrp0(xC,X228)))
| aSet0(X232) )
& ( ~ epred2_1(X228)
| aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X231 = szmzizndt0(sdtlpdtrp0(xN,X228))
| ~ aElementOf0(X231,sdtlpdtrp0(xN,X228))
| ~ aElement0(X231) )
& ( ~ epred2_1(X228)
| ~ aElementOf0(X230,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| X230 != szmzizndt0(sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aElementOf0(X230,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElementOf0(X230,sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| ~ aElementOf0(X230,sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228))))
| aElement0(X230) )
& ( ~ epred2_1(X228)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X228),szmzizndt0(sdtlpdtrp0(xN,X228)))) )
& ( ~ epred2_1(X228)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X228)),X229)
| ~ aElementOf0(X229,sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X228)),sdtlpdtrp0(xN,X228)) )
& ( ~ epred2_1(X228)
| aFunction0(sdtlpdtrp0(xC,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_7])])])])])])]) ).
fof(c_0_9,hypothesis,
( aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi))))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk2_0) = xx
& aElementOf0(esk2_0,szDzozmdt0(sdtlpdtrp0(xC,xi))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__4200_02])]) ).
fof(c_0_10,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_6]) ).
fof(c_0_11,negated_conjecture,
~ ? [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx
& ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( X2 != szmzizndt0(sdtlpdtrp0(xN,xi))
& aElementOf0(X2,sdtlpdtrp0(xN,xi))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(X1) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_12,plain,
! [X77,X78,X79,X80,X81,X82] :
( ( ~ aElementOf0(X78,szNzAzT0)
| ~ aSet0(X77)
| X82 = slbdtsldtrb0(X77,X78)
| ~ aSet0(X82)
| aElementOf0(esk12_3(X77,X78,X82),X82)
| sbrdtbr0(esk12_3(X77,X78,X82)) = X78 )
& ( ~ aElementOf0(X78,szNzAzT0)
| ~ aSet0(X77)
| X82 = slbdtsldtrb0(X77,X78)
| ~ aSet0(X82)
| aElementOf0(esk12_3(X77,X78,X82),X82)
| aSubsetOf0(esk12_3(X77,X78,X82),X77) )
& ( ~ aElementOf0(X78,szNzAzT0)
| ~ aSet0(X77)
| X82 = slbdtsldtrb0(X77,X78)
| ~ aSet0(X82)
| sbrdtbr0(esk12_3(X77,X78,X82)) != X78
| ~ aSubsetOf0(esk12_3(X77,X78,X82),X77)
| ~ aElementOf0(esk12_3(X77,X78,X82),X82) )
& ( ~ aElementOf0(X78,szNzAzT0)
| ~ aSet0(X77)
| X79 != slbdtsldtrb0(X77,X78)
| aElementOf0(X81,X79)
| sbrdtbr0(X81) != X78
| ~ aSubsetOf0(X81,X77) )
& ( ~ aElementOf0(X78,szNzAzT0)
| ~ aSet0(X77)
| X79 != slbdtsldtrb0(X77,X78)
| ~ aElementOf0(X80,X79)
| sbrdtbr0(X80) = X78 )
& ( ~ aElementOf0(X78,szNzAzT0)
| ~ aSet0(X77)
| X79 != slbdtsldtrb0(X77,X78)
| ~ aElementOf0(X80,X79)
| aSubsetOf0(X80,X77) )
& ( ~ aElementOf0(X78,szNzAzT0)
| ~ aSet0(X77)
| X79 != slbdtsldtrb0(X77,X78)
| aSet0(X79) ) ),
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)],[mDefSel])])])])])])]) ).
cnf(c_0_13,plain,
( ~ epred2_1(X2)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2)))
| sbrdtbr0(X1) = xk ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,hypothesis,
aElementOf0(esk2_0,szDzozmdt0(sdtlpdtrp0(xC,xi))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,hypothesis,
! [X49] :
( ( epred2_1(X49)
| ~ aElementOf0(X49,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_10])])])]) ).
fof(c_0_16,negated_conjecture,
~ ? [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx
& ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( X2 != szmzizndt0(sdtlpdtrp0(xN,xi))
& aElementOf0(X2,sdtlpdtrp0(xN,xi))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(X1) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(X2)
| X4 != slbdtsldtrb0(X2,X3)
| sbrdtbr0(X1) != X3
| ~ aSubsetOf0(X1,X2)
| aElementOf0(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,hypothesis,
( ~ epred2_1(xi)
| sbrdtbr0(esk2_0) = xk ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,hypothesis,
( ~ aElementOf0(X1,szNzAzT0)
| epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__4200]) ).
fof(c_0_21,negated_conjecture,
! [X8,X9,X10,X11] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X8) != xx
| ~ aElementOf0(X8,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X8) != xx
| sbrdtbr0(X8) != xk
| ~ aSubsetOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X8) != xx
| sbrdtbr0(X8) != xk
| ~ aSet0(X8)
| ~ aElementOf0(esk1_1(X8),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X8) != xx
| sbrdtbr0(X8) != xk
| ~ aSet0(X8)
| aElementOf0(esk1_1(X8),X8) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X8) != xx
| aElementOf0(X11,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| X11 = szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X11,sdtlpdtrp0(xN,xi))
| ~ aElement0(X11) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X8) != xx
| ~ aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| X10 != szmzizndt0(sdtlpdtrp0(xN,xi)) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X8) != xx
| ~ aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElementOf0(X10,sdtlpdtrp0(xN,xi)) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X8) != xx
| ~ aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElement0(X10) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X8) != xx
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X8) != xx
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,xi)) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X8) != xx
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ) ),
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_16])])])])])])]) ).
cnf(c_0_22,plain,
( ~ aSet0(X2)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSubsetOf0(X1,X2)
| aElementOf0(X1,slbdtsldtrb0(X2,sbrdtbr0(X1))) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_17])]) ).
cnf(c_0_23,hypothesis,
sbrdtbr0(esk2_0) = xk,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_24,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]) ).
cnf(c_0_25,negated_conjecture,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) != xx
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,hypothesis,
sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk2_0) = xx,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,negated_conjecture,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) != xx
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,hypothesis,
( ~ aSet0(X1)
| ~ aSubsetOf0(esk2_0,X1)
| aElementOf0(esk2_0,slbdtsldtrb0(X1,xk)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_29,hypothesis,
aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,hypothesis,
~ aSubsetOf0(esk2_0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_26]),c_0_29])]) ).
cnf(c_0_31,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_8]) ).
cnf(c_0_32,plain,
~ epred2_1(xi),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_14])]) ).
cnf(c_0_33,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM586+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n011.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 02:42:25 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 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
% 8.61/2.00 % Version: 3.5.1
% 8.61/2.00 % Preprocessing class: FSLSSMSMSSSNFFN.
% 8.61/2.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.61/2.00 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.61/2.00 % Starting new_bool_3 with 300s (1) cores
% 8.61/2.00 % Starting new_bool_1 with 300s (1) cores
% 8.61/2.00 % Starting sh5l with 300s (1) cores
% 8.61/2.00 % sh5l with pid 794704 completed with status 0
% 8.61/2.00 % Result found by sh5l
% 8.61/2.00 % Preprocessing class: FSLSSMSMSSSNFFN.
% 8.61/2.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.61/2.00 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.61/2.00 % Starting new_bool_3 with 300s (1) cores
% 8.61/2.00 % Starting new_bool_1 with 300s (1) cores
% 8.61/2.00 % Starting sh5l with 300s (1) cores
% 8.61/2.00 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 8.61/2.00 % SinE strategy is gf500_gu_R04_F100_L20000
% 8.61/2.00 % Search class: FGHSF-SMLM32-MFFFFFNN
% 8.61/2.00 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 8.61/2.00 % Starting SubtermCWHack with 28s (1) cores
% 8.61/2.00 % SubtermCWHack with pid 794706 completed with status 0
% 8.61/2.00 % Result found by SubtermCWHack
% 8.61/2.00 % Preprocessing class: FSLSSMSMSSSNFFN.
% 8.61/2.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.61/2.00 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.61/2.00 % Starting new_bool_3 with 300s (1) cores
% 8.61/2.00 % Starting new_bool_1 with 300s (1) cores
% 8.61/2.00 % Starting sh5l with 300s (1) cores
% 8.61/2.00 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 8.61/2.00 % SinE strategy is gf500_gu_R04_F100_L20000
% 8.61/2.00 % Search class: FGHSF-SMLM32-MFFFFFNN
% 8.61/2.00 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 8.61/2.00 % Starting SubtermCWHack with 28s (1) cores
% 8.61/2.00 % Preprocessing time : 0.097 s
% 8.61/2.00
% 8.61/2.00 % Proof found!
% 8.61/2.00 % SZS status Theorem
% 8.61/2.00 % SZS output start CNFRefutation
% See solution above
% 8.61/2.00 % Parsed axioms : 89
% 8.61/2.00 % Removed by relevancy pruning/SinE : 2
% 8.61/2.00 % Initial clauses : 4410
% 8.61/2.00 % Removed in clause preprocessing : 7
% 8.61/2.00 % Initial clauses in saturation : 4403
% 8.61/2.00 % Processed clauses : 6162
% 8.61/2.00 % ...of these trivial : 31
% 8.61/2.00 % ...subsumed : 3879
% 8.61/2.00 % ...remaining for further processing : 2252
% 8.61/2.00 % Other redundant clauses eliminated : 151
% 8.61/2.00 % Clauses deleted for lack of memory : 0
% 8.61/2.00 % Backward-subsumed : 233
% 8.61/2.00 % Backward-rewritten : 35
% 8.61/2.00 % Generated clauses : 21249
% 8.61/2.00 % ...of the previous two non-redundant : 18377
% 8.61/2.00 % ...aggressively subsumed : 0
% 8.61/2.00 % Contextual simplify-reflections : 122
% 8.61/2.00 % Paramodulations : 21102
% 8.61/2.00 % Factorizations : 0
% 8.61/2.00 % NegExts : 0
% 8.61/2.00 % Equation resolutions : 154
% 8.61/2.00 % Disequality decompositions : 0
% 8.61/2.00 % Total rewrite steps : 16633
% 8.61/2.00 % ...of those cached : 16518
% 8.61/2.00 % Propositional unsat checks : 0
% 8.61/2.00 % Propositional check models : 0
% 8.61/2.00 % Propositional check unsatisfiable : 0
% 8.61/2.00 % Propositional clauses : 0
% 8.61/2.00 % Propositional clauses after purity: 0
% 8.61/2.00 % Propositional unsat core size : 0
% 8.61/2.00 % Propositional preprocessing time : 0.000
% 8.61/2.00 % Propositional encoding time : 0.000
% 8.61/2.00 % Propositional solver time : 0.000
% 8.61/2.00 % Success case prop preproc time : 0.000
% 8.61/2.00 % Success case prop encoding time : 0.000
% 8.61/2.00 % Success case prop solver time : 0.000
% 8.61/2.00 % Current number of processed clauses : 1853
% 8.61/2.00 % Positive orientable unit clauses : 116
% 8.61/2.00 % Positive unorientable unit clauses: 0
% 8.61/2.00 % Negative unit clauses : 36
% 8.61/2.00 % Non-unit-clauses : 1701
% 8.61/2.00 % Current number of unprocessed clauses: 15475
% 8.61/2.00 % ...number of literals in the above : 113826
% 8.61/2.00 % Current number of archived formulas : 0
% 8.61/2.00 % Current number of archived clauses : 271
% 8.61/2.00 % Clause-clause subsumption calls (NU) : 866643
% 8.61/2.00 % Rec. Clause-clause subsumption calls : 136420
% 8.61/2.00 % Non-unit clause-clause subsumptions : 3194
% 8.61/2.00 % Unit Clause-clause subsumption calls : 9512
% 8.61/2.00 % Rewrite failures with RHS unbound : 0
% 8.61/2.00 % BW rewrite match attempts : 65
% 8.61/2.00 % BW rewrite match successes : 38
% 8.61/2.00 % Condensation attempts : 0
% 8.61/2.00 % Condensation successes : 0
% 8.61/2.00 % Termbank termtop insertions : 755547
% 8.61/2.00 % Search garbage collected termcells : 28632
% 8.61/2.00
% 8.61/2.00 % -------------------------------------------------
% 8.61/2.00 % User time : 1.345 s
% 8.61/2.00 % System time : 0.057 s
% 8.61/2.00 % Total time : 1.402 s
% 8.61/2.00 % Maximum resident set size: 15560 pages
% 8.61/2.00
% 8.61/2.00 % -------------------------------------------------
% 8.61/2.00 % User time : 1.349 s
% 8.61/2.00 % System time : 0.064 s
% 8.61/2.00 % Total time : 1.412 s
% 8.61/2.00 % Maximum resident set size: 4864 pages
% 8.61/2.00 % E exiting
%------------------------------------------------------------------------------