%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM586+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:57:55 PM UTC 2026
% Result : Theorem 28.67s 16.86s
% Output : CNFRefutation 28.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 752 ( 131 equ)
% Maximal formula atoms : 518 ( 32 avg)
% Number of connectives : 1130 ( 401 ~; 472 |; 201 &)
% ( 12 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 113 ( 11 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 62 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4151,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).
fof(m__,conjecture,
? [X1] :
( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,xi))
& X2 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
=> ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__4200_02,hypothesis,
( ? [X1] :
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xi)))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx )
& aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4200_02) ).
fof(m__4200,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4200) ).
fof(c_0_4,plain,
! [X1] :
( epred2_1(X1)
<=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
introduced(definition) ).
fof(c_0_5,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> epred2_1(X1) ) ),
inference(apply_def,[status(thm)],[m__4151,c_0_4]) ).
fof(c_0_6,plain,
! [X1] :
( epred2_1(X1)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_4]) ).
fof(c_0_7,hypothesis,
! [X413] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( ~ aElementOf0(X413,szNzAzT0)
| epred2_1(X413) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,negated_conjecture,
~ ? [X1] :
( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,xi))
& X2 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
=> ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_9,plain,
! [X430,X431,X432,X433,X434,X435,X436,X438,X439,X440,X441,X443,X444,X445] :
( ( aFunction0(sdtlpdtrp0(xC,X430))
| ~ epred2_1(X430) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X431,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X431)
| ~ epred2_1(X430) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ epred2_1(X430) )
& ( aElement0(X432)
| ~ aElementOf0(X432,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ epred2_1(X430) )
& ( aElementOf0(X432,sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X432,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ epred2_1(X430) )
& ( X432 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X432,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ epred2_1(X430) )
& ( ~ aElement0(X433)
| ~ aElementOf0(X433,sdtlpdtrp0(xN,X430))
| X433 = szmzizndt0(sdtlpdtrp0(xN,X430))
| aElementOf0(X433,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ epred2_1(X430) )
& ( aSet0(X434)
| ~ aElementOf0(X434,szDzozmdt0(sdtlpdtrp0(xC,X430)))
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X435,X434)
| aElementOf0(X435,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(X434,szDzozmdt0(sdtlpdtrp0(xC,X430)))
| ~ epred2_1(X430) )
& ( aSubsetOf0(X434,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(X434,szDzozmdt0(sdtlpdtrp0(xC,X430)))
| ~ epred2_1(X430) )
& ( sbrdtbr0(X434) = xk
| ~ aElementOf0(X434,szDzozmdt0(sdtlpdtrp0(xC,X430)))
| ~ epred2_1(X430) )
& ( aElementOf0(esk36_2(X430,X436),X436)
| ~ aSet0(X436)
| sbrdtbr0(X436) != xk
| aElementOf0(X436,szDzozmdt0(sdtlpdtrp0(xC,X430)))
| ~ epred2_1(X430) )
& ( ~ aElementOf0(esk36_2(X430,X436),sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X436)
| sbrdtbr0(X436) != xk
| aElementOf0(X436,szDzozmdt0(sdtlpdtrp0(xC,X430)))
| ~ epred2_1(X430) )
& ( ~ aSubsetOf0(X436,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| sbrdtbr0(X436) != xk
| aElementOf0(X436,szDzozmdt0(sdtlpdtrp0(xC,X430)))
| ~ epred2_1(X430) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X430)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))),xk)
| ~ epred2_1(X430) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X443,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X443)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElement0(X444)
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(X444,X438)
| X444 = szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X445,X438)
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( X445 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X430),X438) = sdtlpdtrp0(xc,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X439,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X439)
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X443,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X443)
| ~ aElementOf0(X439,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X439)
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElement0(X444)
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(X439,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X439)
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(X444,X438)
| X444 = szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(X439,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X439)
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X445,X438)
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(X439,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X439)
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( X445 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(X439,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X439)
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X430),X438) = sdtlpdtrp0(xc,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(X439,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X439)
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X443,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X443)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElement0(X444)
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(X444,X438)
| X444 = szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X445,X438)
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( X445 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X430),X438) = sdtlpdtrp0(xc,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| aElement0(X440)
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X443,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X443)
| aElement0(X440)
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElement0(X444)
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElement0(X440)
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(X444,X438)
| X444 = szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElement0(X440)
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X445,X438)
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElement0(X440)
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( X445 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElement0(X440)
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X430),X438) = sdtlpdtrp0(xc,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElement0(X440)
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| aElementOf0(X440,sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X443,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X443)
| aElementOf0(X440,sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElement0(X444)
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElementOf0(X440,sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(X444,X438)
| X444 = szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElementOf0(X440,sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X445,X438)
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElementOf0(X440,sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( X445 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElementOf0(X440,sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X430),X438) = sdtlpdtrp0(xc,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElementOf0(X440,sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| X440 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X443,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X443)
| X440 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElement0(X444)
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| X440 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(X444,X438)
| X444 = szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| X440 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X445,X438)
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| X440 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( X445 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| X440 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X430),X438) = sdtlpdtrp0(xc,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| X440 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X440,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| ~ aElement0(X441)
| ~ aElementOf0(X441,sdtlpdtrp0(xN,X430))
| X441 = szmzizndt0(sdtlpdtrp0(xN,X430))
| aElementOf0(X441,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X443,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X443)
| ~ aElement0(X441)
| ~ aElementOf0(X441,sdtlpdtrp0(xN,X430))
| X441 = szmzizndt0(sdtlpdtrp0(xN,X430))
| aElementOf0(X441,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElement0(X444)
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElement0(X441)
| ~ aElementOf0(X441,sdtlpdtrp0(xN,X430))
| X441 = szmzizndt0(sdtlpdtrp0(xN,X430))
| aElementOf0(X441,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(X444,X438)
| X444 = szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElement0(X441)
| ~ aElementOf0(X441,sdtlpdtrp0(xN,X430))
| X441 = szmzizndt0(sdtlpdtrp0(xN,X430))
| aElementOf0(X441,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X445,X438)
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElement0(X441)
| ~ aElementOf0(X441,sdtlpdtrp0(xN,X430))
| X441 = szmzizndt0(sdtlpdtrp0(xN,X430))
| aElementOf0(X441,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( X445 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElement0(X441)
| ~ aElementOf0(X441,sdtlpdtrp0(xN,X430))
| X441 = szmzizndt0(sdtlpdtrp0(xN,X430))
| aElementOf0(X441,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X430),X438) = sdtlpdtrp0(xc,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElement0(X441)
| ~ aElementOf0(X441,sdtlpdtrp0(xN,X430))
| X441 = szmzizndt0(sdtlpdtrp0(xN,X430))
| aElementOf0(X441,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| aElementOf0(esk37_2(X430,X438),X438)
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X443,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X443)
| aElementOf0(esk37_2(X430,X438),X438)
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElement0(X444)
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElementOf0(esk37_2(X430,X438),X438)
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(X444,X438)
| X444 = szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElementOf0(esk37_2(X430,X438),X438)
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X445,X438)
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElementOf0(esk37_2(X430,X438),X438)
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( X445 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElementOf0(esk37_2(X430,X438),X438)
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X430),X438) = sdtlpdtrp0(xc,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| aElementOf0(esk37_2(X430,X438),X438)
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| ~ aElementOf0(esk37_2(X430,X438),sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X443,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X443)
| ~ aElementOf0(esk37_2(X430,X438),sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElement0(X444)
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(esk37_2(X430,X438),sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(X444,X438)
| X444 = szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(esk37_2(X430,X438),sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X445,X438)
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(esk37_2(X430,X438),sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( X445 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(esk37_2(X430,X438),sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X430),X438) = sdtlpdtrp0(xc,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(esk37_2(X430,X438),sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| ~ aSubsetOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X443,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X443)
| ~ aSubsetOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElement0(X444)
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSubsetOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(X444,X438)
| X444 = szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSubsetOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X445,X438)
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSubsetOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( X445 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSubsetOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X430),X438) = sdtlpdtrp0(xc,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aSubsetOf0(X438,sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))))
| sbrdtbr0(X438) != xk
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X430)),sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X438,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))),xk))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X443,sdtlpdtrp0(xN,X430))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X430)),X443)
| ~ aElementOf0(X438,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))),xk))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElement0(X444)
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(X438,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))),xk))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( aElementOf0(X444,X438)
| X444 = szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElementOf0(X444,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(X438,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))),xk))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( ~ aElementOf0(X445,X438)
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(X438,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))),xk))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( X445 != szmzizndt0(sdtlpdtrp0(xN,X430))
| ~ aElement0(X445)
| aElementOf0(X445,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(X438,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))),xk))
| ~ aSet0(X438)
| ~ epred2_1(X430) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X430),X438) = sdtlpdtrp0(xc,sdtpldt0(X438,szmzizndt0(sdtlpdtrp0(xN,X430))))
| ~ aElementOf0(X438,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X430),szmzizndt0(sdtlpdtrp0(xN,X430))),xk))
| ~ aSet0(X438)
| ~ epred2_1(X430) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])]) ).
fof(c_0_10,hypothesis,
( aElementOf0(esk33_0,szDzozmdt0(sdtlpdtrp0(xC,xi)))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk33_0) = xx
& aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__4200_02])]) ).
cnf(c_0_11,hypothesis,
( epred2_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__4200]) ).
fof(c_0_13,negated_conjecture,
! [X415,X416,X417,X418] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X415) != xx )
& ( ~ aElementOf0(X416,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X416)
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X415) != xx )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X415) != xx )
& ( aElement0(X417)
| ~ aElementOf0(X417,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X415) != xx )
& ( aElementOf0(X417,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X417,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X415) != xx )
& ( X417 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X417,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X415) != xx )
& ( ~ aElement0(X418)
| ~ aElementOf0(X418,sdtlpdtrp0(xN,xi))
| X418 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X418,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X415) != xx )
& ( aElementOf0(esk34_1(X415),X415)
| ~ aSet0(X415)
| sbrdtbr0(X415) != xk
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X415) != xx )
& ( ~ aElementOf0(esk34_1(X415),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X415)
| sbrdtbr0(X415) != xk
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X415) != xx )
& ( ~ aSubsetOf0(X415,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sbrdtbr0(X415) != xk
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X415) != xx )
& ( ~ aElementOf0(X415,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X415) != xx ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])]) ).
cnf(c_0_14,plain,
( sbrdtbr0(X1) = xk
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2)))
| ~ epred2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,hypothesis,
aElementOf0(esk33_0,szDzozmdt0(sdtlpdtrp0(xC,xi))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,hypothesis,
epred2_1(xi),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2)))
| ~ epred2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,negated_conjecture,
( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sbrdtbr0(X1) != xk
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) != xx ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,hypothesis,
sbrdtbr0(esk33_0) = xk,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_20,hypothesis,
sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk33_0) = xx,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,hypothesis,
aSubsetOf0(esk33_0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_16])]) ).
cnf(c_0_22,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM586+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n008.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 00:47:28 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 28.67/16.86 % Version : CSE_E---1.7
% 28.67/16.86 % Problem : theBenchmark.p
% 28.67/16.86 % SZS status Theorem for theBenchmark.p
% 28.67/16.86 % SZS output start CNFRefutation
% See solution above
% 28.77/16.93 % Total time : 13.796s
%------------------------------------------------------------------------------