%------------------------------------------------------------------------------
% File : E---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 : n014.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 13.04s 2.49s
% Output : CNFRefutation 13.04s
% 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,
! [X218,X219,X220,X221,X222,X223,X224,X226,X227,X228,X229,X231,X232,X233] :
( ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X226,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X218),X226) = sdtlpdtrp0(xc,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218)))) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X226,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))),xk))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| X233 != szmzizndt0(sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X226,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))),xk))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| ~ aElementOf0(X233,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X226,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))),xk))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X218))
| aElementOf0(X232,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X226,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))),xk))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X232) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X226,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))),xk))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X231)
| ~ aElementOf0(X231,sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X226,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))),xk))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| ~ aSubsetOf0(X226,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| sdtlpdtrp0(sdtlpdtrp0(xC,X218),X226) = sdtlpdtrp0(xc,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218)))) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| ~ aSubsetOf0(X226,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| X233 != szmzizndt0(sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| ~ aSubsetOf0(X226,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| ~ aElementOf0(X233,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| ~ aSubsetOf0(X226,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X218))
| aElementOf0(X232,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| ~ aSubsetOf0(X226,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X232) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| ~ aSubsetOf0(X226,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X231)
| ~ aElementOf0(X231,sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| ~ aSubsetOf0(X226,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| ~ aElementOf0(esk34_2(X218,X226),sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| sdtlpdtrp0(sdtlpdtrp0(xC,X218),X226) = sdtlpdtrp0(xc,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218)))) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| ~ aElementOf0(esk34_2(X218,X226),sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| X233 != szmzizndt0(sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| ~ aElementOf0(esk34_2(X218,X226),sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| ~ aElementOf0(X233,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| ~ aElementOf0(esk34_2(X218,X226),sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X218))
| aElementOf0(X232,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| ~ aElementOf0(esk34_2(X218,X226),sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X232) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| ~ aElementOf0(esk34_2(X218,X226),sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X231)
| ~ aElementOf0(X231,sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| ~ aElementOf0(esk34_2(X218,X226),sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| aElementOf0(esk34_2(X218,X226),X226)
| sdtlpdtrp0(sdtlpdtrp0(xC,X218),X226) = sdtlpdtrp0(xc,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218)))) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| aElementOf0(esk34_2(X218,X226),X226)
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| X233 != szmzizndt0(sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| aElementOf0(esk34_2(X218,X226),X226)
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| ~ aElementOf0(X233,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| aElementOf0(esk34_2(X218,X226),X226)
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X218))
| aElementOf0(X232,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| aElementOf0(esk34_2(X218,X226),X226)
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X232) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| aElementOf0(esk34_2(X218,X226),X226)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X231)
| ~ aElementOf0(X231,sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sbrdtbr0(X226) != xk
| aElementOf0(esk34_2(X218,X226),X226)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aElementOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X229 = szmzizndt0(sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X229,sdtlpdtrp0(xN,X218))
| ~ aElement0(X229)
| sdtlpdtrp0(sdtlpdtrp0(xC,X218),X226) = sdtlpdtrp0(xc,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218)))) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aElementOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X229 = szmzizndt0(sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X229,sdtlpdtrp0(xN,X218))
| ~ aElement0(X229)
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| X233 != szmzizndt0(sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aElementOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X229 = szmzizndt0(sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X229,sdtlpdtrp0(xN,X218))
| ~ aElement0(X229)
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| ~ aElementOf0(X233,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aElementOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X229 = szmzizndt0(sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X229,sdtlpdtrp0(xN,X218))
| ~ aElement0(X229)
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X218))
| aElementOf0(X232,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aElementOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X229 = szmzizndt0(sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X229,sdtlpdtrp0(xN,X218))
| ~ aElement0(X229)
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X232) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aElementOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X229 = szmzizndt0(sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X229,sdtlpdtrp0(xN,X218))
| ~ aElement0(X229)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X231)
| ~ aElementOf0(X231,sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aElementOf0(X229,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X229 = szmzizndt0(sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X229,sdtlpdtrp0(xN,X218))
| ~ aElement0(X229)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X228 != szmzizndt0(sdtlpdtrp0(xN,X218))
| sdtlpdtrp0(sdtlpdtrp0(xC,X218),X226) = sdtlpdtrp0(xc,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218)))) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X228 != szmzizndt0(sdtlpdtrp0(xN,X218))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| X233 != szmzizndt0(sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X228 != szmzizndt0(sdtlpdtrp0(xN,X218))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| ~ aElementOf0(X233,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X228 != szmzizndt0(sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X218))
| aElementOf0(X232,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X228 != szmzizndt0(sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X232) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X228 != szmzizndt0(sdtlpdtrp0(xN,X218))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X231)
| ~ aElementOf0(X231,sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X228 != szmzizndt0(sdtlpdtrp0(xN,X218))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(X228,sdtlpdtrp0(xN,X218))
| sdtlpdtrp0(sdtlpdtrp0(xC,X218),X226) = sdtlpdtrp0(xc,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218)))) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(X228,sdtlpdtrp0(xN,X218))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| X233 != szmzizndt0(sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(X228,sdtlpdtrp0(xN,X218))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| ~ aElementOf0(X233,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(X228,sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X218))
| aElementOf0(X232,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(X228,sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X232) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(X228,sdtlpdtrp0(xN,X218))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X231)
| ~ aElementOf0(X231,sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(X228,sdtlpdtrp0(xN,X218))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X228)
| sdtlpdtrp0(sdtlpdtrp0(xC,X218),X226) = sdtlpdtrp0(xc,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218)))) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X228)
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| X233 != szmzizndt0(sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X228)
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| ~ aElementOf0(X233,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X228)
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X218))
| aElementOf0(X232,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X228)
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X232) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X228)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X231)
| ~ aElementOf0(X231,sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X228)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| sdtlpdtrp0(sdtlpdtrp0(xC,X218),X226) = sdtlpdtrp0(xc,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218)))) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| X233 != szmzizndt0(sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| ~ aElementOf0(X233,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X218))
| aElementOf0(X232,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X232) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X231)
| ~ aElementOf0(X231,sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X227)
| ~ aElementOf0(X227,sdtlpdtrp0(xN,X218))
| sdtlpdtrp0(sdtlpdtrp0(xC,X218),X226) = sdtlpdtrp0(xc,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218)))) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X227)
| ~ aElementOf0(X227,sdtlpdtrp0(xN,X218))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| X233 != szmzizndt0(sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X227)
| ~ aElementOf0(X227,sdtlpdtrp0(xN,X218))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| ~ aElementOf0(X233,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X227)
| ~ aElementOf0(X227,sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X218))
| aElementOf0(X232,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X227)
| ~ aElementOf0(X227,sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X232) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X227)
| ~ aElementOf0(X227,sdtlpdtrp0(xN,X218))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X231)
| ~ aElementOf0(X231,sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X227)
| ~ aElementOf0(X227,sdtlpdtrp0(xN,X218))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218))
| sdtlpdtrp0(sdtlpdtrp0(xC,X218),X226) = sdtlpdtrp0(xc,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218)))) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| X233 != szmzizndt0(sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218))
| aElementOf0(X233,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElement0(X233)
| ~ aElementOf0(X233,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X218))
| aElementOf0(X232,X226) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X232,sdtpldt0(X226,szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X232) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X231)
| ~ aElementOf0(X231,sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aSet0(X226)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| szDzozmdt0(sdtlpdtrp0(xC,X218)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))),xk) )
& ( ~ epred2_1(X218)
| aElementOf0(X224,szDzozmdt0(sdtlpdtrp0(xC,X218)))
| sbrdtbr0(X224) != xk
| ~ aSubsetOf0(X224,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218)))) )
& ( ~ epred2_1(X218)
| aElementOf0(X224,szDzozmdt0(sdtlpdtrp0(xC,X218)))
| sbrdtbr0(X224) != xk
| ~ aSet0(X224)
| ~ aElementOf0(esk33_2(X218,X224),sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218)))) )
& ( ~ epred2_1(X218)
| aElementOf0(X224,szDzozmdt0(sdtlpdtrp0(xC,X218)))
| sbrdtbr0(X224) != xk
| ~ aSet0(X224)
| aElementOf0(esk33_2(X218,X224),X224) )
& ( ~ epred2_1(X218)
| ~ aElementOf0(X222,szDzozmdt0(sdtlpdtrp0(xC,X218)))
| sbrdtbr0(X222) = xk )
& ( ~ epred2_1(X218)
| ~ aElementOf0(X222,szDzozmdt0(sdtlpdtrp0(xC,X218)))
| aSubsetOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218)))) )
& ( ~ epred2_1(X218)
| ~ aElementOf0(X222,szDzozmdt0(sdtlpdtrp0(xC,X218)))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| ~ aElementOf0(X223,X222) )
& ( ~ epred2_1(X218)
| ~ aElementOf0(X222,szDzozmdt0(sdtlpdtrp0(xC,X218)))
| aSet0(X222) )
& ( ~ epred2_1(X218)
| aElementOf0(X221,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X221 = szmzizndt0(sdtlpdtrp0(xN,X218))
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X218))
| ~ aElement0(X221) )
& ( ~ epred2_1(X218)
| ~ aElementOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| X220 != szmzizndt0(sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aElementOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElementOf0(X220,sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| ~ aElementOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218))))
| aElement0(X220) )
& ( ~ epred2_1(X218)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X218),szmzizndt0(sdtlpdtrp0(xN,X218)))) )
& ( ~ epred2_1(X218)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X218)),X219)
| ~ aElementOf0(X219,sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X218)),sdtlpdtrp0(xN,X218)) )
& ( ~ epred2_1(X218)
| aFunction0(sdtlpdtrp0(xC,X218)) ) ),
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),esk14_0) = xx
& aElementOf0(esk14_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,
! [X107,X108,X109,X110,X111,X112] :
( ( ~ aElementOf0(X108,szNzAzT0)
| ~ aSet0(X107)
| X112 = slbdtsldtrb0(X107,X108)
| ~ aSet0(X112)
| aElementOf0(esk23_3(X107,X108,X112),X112)
| sbrdtbr0(esk23_3(X107,X108,X112)) = X108 )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ aSet0(X107)
| X112 = slbdtsldtrb0(X107,X108)
| ~ aSet0(X112)
| aElementOf0(esk23_3(X107,X108,X112),X112)
| aSubsetOf0(esk23_3(X107,X108,X112),X107) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ aSet0(X107)
| X112 = slbdtsldtrb0(X107,X108)
| ~ aSet0(X112)
| sbrdtbr0(esk23_3(X107,X108,X112)) != X108
| ~ aSubsetOf0(esk23_3(X107,X108,X112),X107)
| ~ aElementOf0(esk23_3(X107,X108,X112),X112) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ aSet0(X107)
| X109 != slbdtsldtrb0(X107,X108)
| aElementOf0(X111,X109)
| sbrdtbr0(X111) != X108
| ~ aSubsetOf0(X111,X107) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ aSet0(X107)
| X109 != slbdtsldtrb0(X107,X108)
| ~ aElementOf0(X110,X109)
| sbrdtbr0(X110) = X108 )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ aSet0(X107)
| X109 != slbdtsldtrb0(X107,X108)
| ~ aElementOf0(X110,X109)
| aSubsetOf0(X110,X107) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ aSet0(X107)
| X109 != slbdtsldtrb0(X107,X108)
| aSet0(X109) ) ),
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(esk14_0,szDzozmdt0(sdtlpdtrp0(xC,xi))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,hypothesis,
! [X52] :
( ( epred2_1(X52)
| ~ aElementOf0(X52,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(esk14_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,
! [X54,X55,X56,X57] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X54) != xx
| ~ aElementOf0(X54,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X54) != xx
| sbrdtbr0(X54) != xk
| ~ aSubsetOf0(X54,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X54) != xx
| sbrdtbr0(X54) != xk
| ~ aSet0(X54)
| ~ aElementOf0(esk15_1(X54),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X54) != xx
| sbrdtbr0(X54) != xk
| ~ aSet0(X54)
| aElementOf0(esk15_1(X54),X54) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X54) != xx
| aElementOf0(X57,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| X57 = szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X57,sdtlpdtrp0(xN,xi))
| ~ aElement0(X57) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X54) != xx
| ~ aElementOf0(X56,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| X56 != szmzizndt0(sdtlpdtrp0(xN,xi)) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X54) != xx
| ~ aElementOf0(X56,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElementOf0(X56,sdtlpdtrp0(xN,xi)) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X54) != xx
| ~ aElementOf0(X56,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElement0(X56) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X54) != xx
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X54) != xx
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X55)
| ~ aElementOf0(X55,sdtlpdtrp0(xN,xi)) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X54) != 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(esk14_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),esk14_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(esk14_0,X1)
| aElementOf0(esk14_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(esk14_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
% 0.00/0.03 % Problem : NUM586+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.58 % Computer : n014.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Mon Sep 21 02:42:21 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.62 Running first-order theorem proving
% 0.11/0.62 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
% 13.04/2.49 % Version: 3.5.1
% 13.04/2.49 % Preprocessing class: FSLSSMSMSSSNFFN.
% 13.04/2.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.04/2.49 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 13.04/2.49 % Starting new_bool_3 with 300s (1) cores
% 13.04/2.49 % Starting new_bool_1 with 300s (1) cores
% 13.04/2.49 % Starting sh5l with 300s (1) cores
% 13.04/2.49 % new_bool_3 with pid 2974606 completed with status 0
% 13.04/2.49 % Result found by new_bool_3
% 13.04/2.49 % Preprocessing class: FSLSSMSMSSSNFFN.
% 13.04/2.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.04/2.49 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 13.04/2.49 % Starting new_bool_3 with 300s (1) cores
% 13.04/2.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 13.04/2.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 13.04/2.49 % Search class: FGHSF-SMLM32-MFFFFFNN
% 13.04/2.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 13.04/2.49 % Starting SubtermCWHack with 31s (1) cores
% 13.04/2.49 % SubtermCWHack with pid 2974618 completed with status 0
% 13.04/2.49 % Result found by SubtermCWHack
% 13.04/2.49 % Preprocessing class: FSLSSMSMSSSNFFN.
% 13.04/2.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.04/2.49 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 13.04/2.49 % Starting new_bool_3 with 300s (1) cores
% 13.04/2.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 13.04/2.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 13.04/2.49 % Search class: FGHSF-SMLM32-MFFFFFNN
% 13.04/2.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 13.04/2.49 % Starting SubtermCWHack with 31s (1) cores
% 13.04/2.49 % Preprocessing time : 0.087 s
% 13.04/2.49
% 13.04/2.49 % Proof found!
% 13.04/2.49 % SZS status Theorem
% 13.04/2.49 % SZS output start CNFRefutation
% See solution above
% 13.04/2.49 % Parsed axioms : 89
% 13.04/2.49 % Removed by relevancy pruning/SinE : 5
% 13.04/2.49 % Initial clauses : 4400
% 13.04/2.49 % Removed in clause preprocessing : 7
% 13.04/2.49 % Initial clauses in saturation : 4393
% 13.04/2.49 % Processed clauses : 6085
% 13.04/2.49 % ...of these trivial : 31
% 13.04/2.49 % ...subsumed : 3841
% 13.04/2.49 % ...remaining for further processing : 2213
% 13.04/2.49 % Other redundant clauses eliminated : 146
% 13.04/2.49 % Clauses deleted for lack of memory : 0
% 13.04/2.49 % Backward-subsumed : 230
% 13.04/2.49 % Backward-rewritten : 35
% 13.04/2.49 % Generated clauses : 20932
% 13.04/2.49 % ...of the previous two non-redundant : 18067
% 13.04/2.49 % ...aggressively subsumed : 0
% 13.04/2.49 % Contextual simplify-reflections : 120
% 13.04/2.49 % Paramodulations : 20789
% 13.04/2.49 % Factorizations : 0
% 13.04/2.49 % NegExts : 0
% 13.04/2.49 % Equation resolutions : 149
% 13.04/2.49 % Disequality decompositions : 0
% 13.04/2.49 % Total rewrite steps : 16550
% 13.04/2.49 % ...of those cached : 16437
% 13.04/2.49 % Propositional unsat checks : 0
% 13.04/2.49 % Propositional check models : 0
% 13.04/2.49 % Propositional check unsatisfiable : 0
% 13.04/2.49 % Propositional clauses : 0
% 13.04/2.49 % Propositional clauses after purity: 0
% 13.04/2.49 % Propositional unsat core size : 0
% 13.04/2.49 % Propositional preprocessing time : 0.000
% 13.04/2.49 % Propositional encoding time : 0.000
% 13.04/2.49 % Propositional solver time : 0.000
% 13.04/2.49 % Success case prop preproc time : 0.000
% 13.04/2.49 % Success case prop encoding time : 0.000
% 13.04/2.49 % Success case prop solver time : 0.000
% 13.04/2.49 % Current number of processed clauses : 1821
% 13.04/2.49 % Positive orientable unit clauses : 115
% 13.04/2.49 % Positive unorientable unit clauses: 0
% 13.04/2.49 % Negative unit clauses : 36
% 13.04/2.49 % Non-unit-clauses : 1670
% 13.04/2.49 % Current number of unprocessed clauses: 15296
% 13.04/2.49 % ...number of literals in the above : 112832
% 13.04/2.49 % Current number of archived formulas : 0
% 13.04/2.49 % Current number of archived clauses : 268
% 13.04/2.49 % Clause-clause subsumption calls (NU) : 910836
% 13.04/2.49 % Rec. Clause-clause subsumption calls : 157333
% 13.04/2.49 % Non-unit clause-clause subsumptions : 3157
% 13.04/2.49 % Unit Clause-clause subsumption calls : 12194
% 13.04/2.49 % Rewrite failures with RHS unbound : 0
% 13.04/2.49 % BW rewrite match attempts : 65
% 13.04/2.49 % BW rewrite match successes : 38
% 13.04/2.49 % Condensation attempts : 0
% 13.04/2.49 % Condensation successes : 0
% 13.04/2.49 % Termbank termtop insertions : 749456
% 13.04/2.49 % Search garbage collected termcells : 28303
% 13.04/2.49
% 13.04/2.49 % -------------------------------------------------
% 13.04/2.49 % User time : 1.618 s
% 13.04/2.49 % System time : 0.046 s
% 13.04/2.49 % Total time : 1.664 s
% 13.04/2.49 % Maximum resident set size: 15304 pages
% 13.04/2.49
% 13.04/2.49 % -------------------------------------------------
% 13.04/2.49 % User time : 1.622 s
% 13.04/2.49 % System time : 0.055 s
% 13.04/2.49 % Total time : 1.677 s
% 13.04/2.49 % Maximum resident set size: 4608 pages
% 13.04/2.49 % E exiting
%------------------------------------------------------------------------------