TSTP Solution File: NUM585+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM585+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n009.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 : Thu Aug 31 10:38:59 EDT 2023
% Result : Theorem 136.02s 136.07s
% Output : CNFRefutation 136.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 80
% Syntax : Number of formulae : 125 ( 17 unt; 73 typ; 0 def)
% Number of atoms : 1598 ( 231 equ)
% Maximal formula atoms : 693 ( 30 avg)
% Number of connectives : 2447 ( 901 ~;1080 |; 373 &)
% ( 20 <=>; 73 =>; 0 <=; 0 <~>)
% Maximal formula depth : 134 ( 10 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 121 ( 61 >; 60 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 62 ( 62 usr; 12 con; 0-4 aty)
% Number of variables : 137 ( 0 sgn; 111 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aSet0: $i > $o ).
tff(decl_23,type,
aElement0: $i > $o ).
tff(decl_24,type,
aElementOf0: ( $i * $i ) > $o ).
tff(decl_25,type,
isFinite0: $i > $o ).
tff(decl_26,type,
slcrc0: $i ).
tff(decl_27,type,
isCountable0: $i > $o ).
tff(decl_28,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff(decl_29,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_30,type,
sdtmndt0: ( $i * $i ) > $i ).
tff(decl_31,type,
szNzAzT0: $i ).
tff(decl_32,type,
sz00: $i ).
tff(decl_33,type,
szszuzczcdt0: $i > $i ).
tff(decl_34,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(decl_35,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_36,type,
sbrdtbr0: $i > $i ).
tff(decl_37,type,
szmzizndt0: $i > $i ).
tff(decl_38,type,
szmzazxdt0: $i > $i ).
tff(decl_39,type,
slbdtrb0: $i > $i ).
tff(decl_40,type,
slbdtsldtrb0: ( $i * $i ) > $i ).
tff(decl_41,type,
aFunction0: $i > $o ).
tff(decl_42,type,
szDzozmdt0: $i > $i ).
tff(decl_43,type,
sdtlpdtrp0: ( $i * $i ) > $i ).
tff(decl_44,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(decl_45,type,
sdtlcdtrc0: ( $i * $i ) > $i ).
tff(decl_46,type,
sdtexdt0: ( $i * $i ) > $i ).
tff(decl_47,type,
szDzizrdt0: $i > $i ).
tff(decl_48,type,
xT: $i ).
tff(decl_49,type,
xK: $i ).
tff(decl_50,type,
xS: $i ).
tff(decl_51,type,
xc: $i ).
tff(decl_52,type,
xk: $i ).
tff(decl_53,type,
xN: $i ).
tff(decl_54,type,
xC: $i ).
tff(decl_55,type,
epred1_1: $i > $o ).
tff(decl_56,type,
epred2_1: $i > $o ).
tff(decl_57,type,
esk1_1: $i > $i ).
tff(decl_58,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
esk5_1: $i > $i ).
tff(decl_62,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk10_1: $i > $i ).
tff(decl_67,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_71,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk20_1: $i > $i ).
tff(decl_77,type,
esk21_1: $i > $i ).
tff(decl_78,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_79,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk31_1: $i > $i ).
tff(decl_88,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_89,type,
esk33_0: $i ).
tff(decl_90,type,
esk34_1: $i > $i ).
tff(decl_91,type,
esk35_0: $i ).
tff(decl_92,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_93,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_94,type,
esk38_2: ( $i * $i ) > $i ).
fof(m__,conjecture,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
& ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
<=> ? [X3] :
( aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X1)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X2 ) ) )
=> ( ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
=> aElementOf0(X2,xT) )
| aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))),xT) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__4151,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4151) ).
fof(m__3965,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
=> aElementOf0(X3,xS) )
& aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
& sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK
& aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3965) ).
fof(m__3453,hypothesis,
( aFunction0(xc)
& ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(xc))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& sbrdtbr0(X1) = xK ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& sbrdtbr0(X1) = xK )
=> aElementOf0(X1,szDzozmdt0(xc)) ) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X2) = X1 ) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X1,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
fof(mImgRng,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgRng) ).
fof(c_0_5,plain,
! [X1] :
( epred2_1(X1)
<=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
introduced(definition) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
& ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
<=> ? [X3] :
( aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X1)))
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X2 ) ) )
=> ( ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
=> aElementOf0(X2,xT) )
| aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))),xT) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_7,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> epred2_1(X1) ) ),
inference(apply_def,[status(thm)],[m__4151,c_0_5]) ).
fof(c_0_8,plain,
! [X1] :
( epred1_1(X1)
<=> ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
=> aElementOf0(X3,xS) )
& aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
& sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK
& aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ) ),
introduced(definition) ).
fof(c_0_9,plain,
! [X1] :
( epred2_1(X1)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_5]) ).
fof(c_0_10,negated_conjecture,
! [X215,X217] :
( aElementOf0(esk33_0,szNzAzT0)
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))))
& ( aElementOf0(esk34_1(X215),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))
| ~ aElementOf0(X215,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,esk33_0),esk34_1(X215)) = X215
| ~ aElementOf0(X215,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))) )
& ( ~ aElementOf0(X217,szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))
| sdtlpdtrp0(sdtlpdtrp0(xC,esk33_0),X217) != X215
| aElementOf0(X215,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))) )
& aElementOf0(esk35_0,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))))
& ~ aElementOf0(esk35_0,xT)
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))),xT) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
fof(c_0_11,hypothesis,
! [X213] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( ~ aElementOf0(X213,szNzAzT0)
| epred2_1(X213) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_12,plain,
! [X1] :
( epred1_1(X1)
=> ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
=> aElementOf0(X3,xS) )
& aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
& sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK
& aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ) ),
inference(split_equiv,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X229,X230,X231,X232,X233,X234,X235,X237,X238,X239,X240,X242,X243,X244] :
( ( aFunction0(sdtlpdtrp0(xC,X229))
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X230,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X230)
| ~ epred2_1(X229) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ epred2_1(X229) )
& ( aElement0(X231)
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ epred2_1(X229) )
& ( aElementOf0(X231,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ epred2_1(X229) )
& ( X231 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X231,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ epred2_1(X229) )
& ( ~ aElement0(X232)
| ~ aElementOf0(X232,sdtlpdtrp0(xN,X229))
| X232 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X232,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ epred2_1(X229) )
& ( aSet0(X233)
| ~ aElementOf0(X233,szDzozmdt0(sdtlpdtrp0(xC,X229)))
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X234,X233)
| aElementOf0(X234,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X233,szDzozmdt0(sdtlpdtrp0(xC,X229)))
| ~ epred2_1(X229) )
& ( aSubsetOf0(X233,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X233,szDzozmdt0(sdtlpdtrp0(xC,X229)))
| ~ epred2_1(X229) )
& ( sbrdtbr0(X233) = xk
| ~ aElementOf0(X233,szDzozmdt0(sdtlpdtrp0(xC,X229)))
| ~ epred2_1(X229) )
& ( aElementOf0(esk37_2(X229,X235),X235)
| ~ aSet0(X235)
| sbrdtbr0(X235) != xk
| aElementOf0(X235,szDzozmdt0(sdtlpdtrp0(xC,X229)))
| ~ epred2_1(X229) )
& ( ~ aElementOf0(esk37_2(X229,X235),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X235)
| sbrdtbr0(X235) != xk
| aElementOf0(X235,szDzozmdt0(sdtlpdtrp0(xC,X229)))
| ~ epred2_1(X229) )
& ( ~ aSubsetOf0(X235,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X235) != xk
| aElementOf0(X235,szDzozmdt0(sdtlpdtrp0(xC,X229)))
| ~ epred2_1(X229) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X229)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X238,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X238)
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| ~ aElementOf0(X238,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X238)
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X238,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X238)
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X238,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X238)
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X238,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X238)
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X238,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X238)
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X238,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X238)
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| aElement0(X239)
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| aElement0(X239)
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElement0(X239)
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElement0(X239)
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElement0(X239)
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElement0(X239)
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElement0(X239)
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| aElementOf0(X239,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| aElementOf0(X239,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(X239,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(X239,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(X239,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(X239,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(X239,sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| X239 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| X239 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| X239 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| X239 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| X239 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| X239 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| X239 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X239,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aElement0(X240)
| ~ aElementOf0(X240,sdtlpdtrp0(xN,X229))
| X240 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| ~ aElement0(X240)
| ~ aElementOf0(X240,sdtlpdtrp0(xN,X229))
| X240 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElement0(X240)
| ~ aElementOf0(X240,sdtlpdtrp0(xN,X229))
| X240 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElement0(X240)
| ~ aElementOf0(X240,sdtlpdtrp0(xN,X229))
| X240 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElement0(X240)
| ~ aElementOf0(X240,sdtlpdtrp0(xN,X229))
| X240 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElement0(X240)
| ~ aElementOf0(X240,sdtlpdtrp0(xN,X229))
| X240 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElement0(X240)
| ~ aElementOf0(X240,sdtlpdtrp0(xN,X229))
| X240 = szmzizndt0(sdtlpdtrp0(xN,X229))
| aElementOf0(X240,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| aElementOf0(esk38_2(X229,X237),X237)
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| aElementOf0(esk38_2(X229,X237),X237)
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(esk38_2(X229,X237),X237)
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(esk38_2(X229,X237),X237)
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(esk38_2(X229,X237),X237)
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(esk38_2(X229,X237),X237)
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| aElementOf0(esk38_2(X229,X237),X237)
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aElementOf0(esk38_2(X229,X237),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| ~ aElementOf0(esk38_2(X229,X237),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(esk38_2(X229,X237),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(esk38_2(X229,X237),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(esk38_2(X229,X237),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(esk38_2(X229,X237),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(esk38_2(X229,X237),sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aSubsetOf0(X237,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| ~ aSubsetOf0(X237,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSubsetOf0(X237,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSubsetOf0(X237,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSubsetOf0(X237,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSubsetOf0(X237,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aSubsetOf0(X237,sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))))
| sbrdtbr0(X237) != xk
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X229)),sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X237,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X242,sdtlpdtrp0(xN,X229))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X229)),X242)
| ~ aElementOf0(X237,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElement0(X243)
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X237,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( aElementOf0(X243,X237)
| X243 = szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElementOf0(X243,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X237,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( ~ aElementOf0(X244,X237)
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X237,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( X244 != szmzizndt0(sdtlpdtrp0(xN,X229))
| ~ aElement0(X244)
| aElementOf0(X244,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X237,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk))
| ~ aSet0(X237)
| ~ epred2_1(X229) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X229),X237) = sdtlpdtrp0(xc,sdtpldt0(X237,szmzizndt0(sdtlpdtrp0(xN,X229))))
| ~ aElementOf0(X237,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X229),szmzizndt0(sdtlpdtrp0(xN,X229))),xk))
| ~ aSet0(X237)
| ~ epred2_1(X229) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])]) ).
cnf(c_0_14,negated_conjecture,
( aElementOf0(esk34_1(X1),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
aElementOf0(esk35_0,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,hypothesis,
( epred2_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
aElementOf0(esk33_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_18,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[m__3965,c_0_8]) ).
fof(c_0_19,plain,
! [X219,X220,X221,X222,X223,X225,X226,X227,X228] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(X221,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X221)
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| aElement0(X222)
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| aElementOf0(X222,sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| X222 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X222,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,X219))
| X223 = szmzizndt0(sdtlpdtrp0(xN,X219))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| aElementOf0(esk36_2(X219,X220),X220)
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(esk36_2(X219,X220),sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| ~ aSubsetOf0(X220,sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))))
| sbrdtbr0(X220) != xk
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X219)),sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X225,sdtlpdtrp0(xN,X219))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X219)),X225)
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSet0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElement0(X226)
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(X226,X220)
| X226 = szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElementOf0(X226,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X227,X220)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,X219))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( ~ aElementOf0(X228,sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))))
| aElementOf0(X228,xS)
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aSubsetOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),xS)
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( sbrdtbr0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219)))) = xK
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) )
& ( aElementOf0(sdtpldt0(X220,szmzizndt0(sdtlpdtrp0(xN,X219))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(X220,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X219),szmzizndt0(sdtlpdtrp0(xN,X219))),xk))
| ~ aSet0(X220)
| ~ epred1_1(X219) ) ),
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_12])])])])])]) ).
cnf(c_0_20,plain,
( sbrdtbr0(X1) = xk
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2)))
| ~ epred2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
aElementOf0(esk34_1(esk35_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
epred2_1(esk33_0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
( aSet0(X1)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2)))
| ~ epred2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_24,hypothesis,
! [X212] :
( ~ aElementOf0(X212,szNzAzT0)
| epred1_1(X212) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
cnf(c_0_25,plain,
( sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))) = xK
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| sbrdtbr0(X1) != xk
| ~ aSet0(X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
sbrdtbr0(esk34_1(esk35_0)) = xk,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_27,negated_conjecture,
aSet0(esk34_1(esk35_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_21]),c_0_22])]) ).
cnf(c_0_28,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_13]) ).
cnf(c_0_29,hypothesis,
( epred1_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))),xS)
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| sbrdtbr0(X1) != xk
| ~ aSet0(X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_31,hypothesis,
! [X170,X171,X172,X174,X176,X177,X178] :
( aFunction0(xc)
& ( aSet0(X170)
| ~ aElementOf0(X170,szDzozmdt0(xc)) )
& ( ~ aElementOf0(X171,X170)
| aElementOf0(X171,xS)
| ~ aElementOf0(X170,szDzozmdt0(xc)) )
& ( aSubsetOf0(X170,xS)
| ~ aElementOf0(X170,szDzozmdt0(xc)) )
& ( sbrdtbr0(X170) = xK
| ~ aElementOf0(X170,szDzozmdt0(xc)) )
& ( aElementOf0(esk20_1(X172),X172)
| ~ aSet0(X172)
| sbrdtbr0(X172) != xK
| aElementOf0(X172,szDzozmdt0(xc)) )
& ( ~ aElementOf0(esk20_1(X172),xS)
| ~ aSet0(X172)
| sbrdtbr0(X172) != xK
| aElementOf0(X172,szDzozmdt0(xc)) )
& ( ~ aSubsetOf0(X172,xS)
| sbrdtbr0(X172) != xK
| aElementOf0(X172,szDzozmdt0(xc)) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ( aElementOf0(esk21_1(X174),szDzozmdt0(xc))
| ~ aElementOf0(X174,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( sdtlpdtrp0(xc,esk21_1(X174)) = X174
| ~ aElementOf0(X174,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X177,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X177) != X176
| aElementOf0(X176,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X178,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X178,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3453])])])])])]) ).
cnf(c_0_32,negated_conjecture,
( sbrdtbr0(sdtpldt0(esk34_1(esk35_0),szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK
| ~ epred1_1(X1)
| ~ aSubsetOf0(esk34_1(esk35_0),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_33,negated_conjecture,
aSubsetOf0(esk34_1(esk35_0),sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_21]),c_0_22])]) ).
cnf(c_0_34,negated_conjecture,
epred1_1(esk33_0),
inference(spm,[status(thm)],[c_0_29,c_0_17]) ).
cnf(c_0_35,negated_conjecture,
( aSubsetOf0(sdtpldt0(esk34_1(esk35_0),szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
| ~ epred1_1(X1)
| ~ aSubsetOf0(esk34_1(esk35_0),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_26]),c_0_27])]) ).
cnf(c_0_36,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| sbrdtbr0(X2) != xk
| ~ aSet0(X2)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_37,negated_conjecture,
( sdtlpdtrp0(sdtlpdtrp0(xC,esk33_0),esk34_1(X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,esk33_0),szDzozmdt0(sdtlpdtrp0(xC,esk33_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_38,plain,
! [X156,X157] :
( ~ aFunction0(X156)
| ~ aElementOf0(X157,szDzozmdt0(X156))
| aElementOf0(sdtlpdtrp0(X156,X157),sdtlcdtrc0(X156,szDzozmdt0(X156))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgRng])])]) ).
cnf(c_0_39,hypothesis,
( aElementOf0(X1,szDzozmdt0(xc))
| ~ aSubsetOf0(X1,xS)
| sbrdtbr0(X1) != xK ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
sbrdtbr0(sdtpldt0(esk34_1(esk35_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) = xK,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_41,negated_conjecture,
aSubsetOf0(sdtpldt0(esk34_1(esk35_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))),xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_33]),c_0_34])]) ).
cnf(c_0_42,negated_conjecture,
( sdtlpdtrp0(xc,sdtpldt0(esk34_1(esk35_0),szmzizndt0(sdtlpdtrp0(xN,X1)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),esk34_1(esk35_0))
| ~ epred2_1(X1)
| ~ aSubsetOf0(esk34_1(esk35_0),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_26]),c_0_27])]) ).
cnf(c_0_43,negated_conjecture,
sdtlpdtrp0(sdtlpdtrp0(xC,esk33_0),esk34_1(esk35_0)) = esk35_0,
inference(spm,[status(thm)],[c_0_37,c_0_15]) ).
cnf(c_0_44,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,hypothesis,
aElementOf0(sdtpldt0(esk34_1(esk35_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))),szDzozmdt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_46,negated_conjecture,
sdtlpdtrp0(xc,sdtpldt0(esk34_1(esk35_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) = esk35_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_33]),c_0_43]),c_0_22])]) ).
cnf(c_0_47,hypothesis,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_48,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_49,hypothesis,
aElementOf0(esk35_0,sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_50,negated_conjecture,
~ aElementOf0(esk35_0,xT),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_51,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM585+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 11:59:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 136.02/136.07 % Version : CSE_E---1.5
% 136.02/136.07 % Problem : theBenchmark.p
% 136.02/136.07 % Proof found
% 136.02/136.07 % SZS status Theorem for theBenchmark.p
% 136.02/136.07 % SZS output start Proof
% See solution above
% 136.02/136.09 % Total time : 135.488000 s
% 136.02/136.09 % SZS output end Proof
% 136.02/136.09 % Total time : 135.502000 s
%------------------------------------------------------------------------------