TSTP Solution File: NUM626+1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM626+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 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 : 600s
% DateTime : Mon Jul 18 11:53:19 EDT 2022
% Result : Theorem 0.42s 0.60s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 107
% Syntax : Number of formulae : 612 ( 335 unt; 44 typ; 0 def)
% Number of atoms : 3658 (1184 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 5750 ( 910 ~;1054 |; 106 &;3580 @)
% ( 6 <=>; 94 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 47 ( 44 usr; 21 con; 0-2 aty)
% Number of variables : 758 ( 0 ^ 754 !; 4 ?; 758 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_aElement0,type,
aElement0: $i > $o ).
thf(tp_aElementOf0,type,
aElementOf0: $i > $i > $o ).
thf(tp_aFunction0,type,
aFunction0: $i > $o ).
thf(tp_aSet0,type,
aSet0: $i > $o ).
thf(tp_aSubsetOf0,type,
aSubsetOf0: $i > $i > $o ).
thf(tp_iLess0,type,
iLess0: $i > $i > $o ).
thf(tp_isCountable0,type,
isCountable0: $i > $o ).
thf(tp_isFinite0,type,
isFinite0: $i > $o ).
thf(tp_sK1_W1,type,
sK1_W1: $i > $i ).
thf(tp_sK2_W1,type,
sK2_W1: $i > $i ).
thf(tp_sbrdtbr0,type,
sbrdtbr0: $i > $i ).
thf(tp_sdtexdt0,type,
sdtexdt0: $i > $i > $i ).
thf(tp_sdtlbdtrb0,type,
sdtlbdtrb0: $i > $i > $i ).
thf(tp_sdtlcdtrc0,type,
sdtlcdtrc0: $i > $i > $i ).
thf(tp_sdtlpdtrp0,type,
sdtlpdtrp0: $i > $i > $i ).
thf(tp_sdtlseqdt0,type,
sdtlseqdt0: $i > $i > $o ).
thf(tp_sdtmndt0,type,
sdtmndt0: $i > $i > $i ).
thf(tp_sdtpldt0,type,
sdtpldt0: $i > $i > $i ).
thf(tp_slbdtrb0,type,
slbdtrb0: $i > $i ).
thf(tp_slbdtsldtrb0,type,
slbdtsldtrb0: $i > $i > $i ).
thf(tp_slcrc0,type,
slcrc0: $i ).
thf(tp_sz00,type,
sz00: $i ).
thf(tp_szDzizrdt0,type,
szDzizrdt0: $i > $i ).
thf(tp_szDzozmdt0,type,
szDzozmdt0: $i > $i ).
thf(tp_szNzAzT0,type,
szNzAzT0: $i ).
thf(tp_szmzazxdt0,type,
szmzazxdt0: $i > $i ).
thf(tp_szmzizndt0,type,
szmzizndt0: $i > $i ).
thf(tp_szszuzczcdt0,type,
szszuzczcdt0: $i > $i ).
thf(tp_xC,type,
xC: $i ).
thf(tp_xK,type,
xK: $i ).
thf(tp_xN,type,
xN: $i ).
thf(tp_xO,type,
xO: $i ).
thf(tp_xP,type,
xP: $i ).
thf(tp_xQ,type,
xQ: $i ).
thf(tp_xS,type,
xS: $i ).
thf(tp_xT,type,
xT: $i ).
thf(tp_xc,type,
xc: $i ).
thf(tp_xd,type,
xd: $i ).
thf(tp_xe,type,
xe: $i ).
thf(tp_xk,type,
xk: $i ).
thf(tp_xm,type,
xm: $i ).
thf(tp_xn,type,
xn: $i ).
thf(tp_xp,type,
xp: $i ).
thf(tp_xx,type,
xx: $i ).
thf(13,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( sbrdtbr0 @ ( slbdtrb0 @ W0 ) )
= W0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
thf(14,axiom,
! [W0: $i] :
( ( ( aSubsetOf0 @ W0 @ szNzAzT0 )
& ( isFinite0 @ W0 ) )
=> ? [W1: $i] :
( ( aElementOf0 @ W1 @ szNzAzT0 )
& ( aSubsetOf0 @ W0 @ ( slbdtrb0 @ W1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFinSubSeg) ).
thf(15,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
<=> ( aSubsetOf0 @ ( slbdtrb0 @ W0 ) @ ( slbdtrb0 @ W1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegLess) ).
thf(16,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ W1 ) ) )
<=> ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ W1 ) )
| ( W0 = W1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
thf(17,axiom,
( ( slbdtrb0 @ sz00 )
= slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
thf(18,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( isFinite0 @ ( slbdtrb0 @ W0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegFin) ).
thf(19,axiom,
! [W0: $i,W1: $i] :
( ( ( aSubsetOf0 @ W0 @ szNzAzT0 )
& ( aSubsetOf0 @ W1 @ szNzAzT0 )
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) )
=> ( ( ( aElementOf0 @ ( szmzizndt0 @ W0 ) @ W1 )
& ( aElementOf0 @ ( szmzizndt0 @ W1 ) @ W0 ) )
=> ( ( szmzizndt0 @ W0 )
= ( szmzizndt0 @ W1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMinMin) ).
thf(26,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( aElement0 @ ( sbrdtbr0 @ W0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardS) ).
thf(27,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( iLess0 @ W0 @ ( szszuzczcdt0 @ W0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
thf(28,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( iLess0 @ W0 @ W1 )
=> $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIHSort) ).
thf(29,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
thf(30,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 )
& ( aElementOf0 @ W2 @ szNzAzT0 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( sdtlseqdt0 @ W0 @ W2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
thf(31,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
thf(32,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( sdtlseqdt0 @ W0 @ W0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
thf(33,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( sdtlseqdt0 @ W0 @ ( szszuzczcdt0 @ W0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
thf(34,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
<=> ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ ( szszuzczcdt0 @ W1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
thf(35,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
thf(36,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( sdtlseqdt0 @ sz00 @ W0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
thf(37,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
=> $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRel) ).
thf(38,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( W0
!= ( szszuzczcdt0 @ W0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
thf(39,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( W0 = sz00 )
| ? [W1: $i] :
( ( aElementOf0 @ W1 @ szNzAzT0 )
& ( W0
= ( szszuzczcdt0 @ W1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
thf(40,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( ( szszuzczcdt0 @ W0 )
= ( szszuzczcdt0 @ W1 ) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
thf(41,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 )
& ( ( szszuzczcdt0 @ W0 )
!= sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
thf(42,axiom,
aElementOf0 @ sz00 @ szNzAzT0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
thf(43,axiom,
( ( aSet0 @ szNzAzT0 )
& ( isCountable0 @ szNzAzT0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
thf(50,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aSet0 @ W0 )
& ( aSet0 @ W1 )
& ( aSet0 @ W2 ) )
=> ( ( ( aSubsetOf0 @ W0 @ W1 )
& ( aSubsetOf0 @ W1 @ W2 ) )
=> ( aSubsetOf0 @ W0 @ W2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
thf(51,axiom,
! [W0: $i,W1: $i] :
( ( ( aSet0 @ W0 )
& ( aSet0 @ W1 ) )
=> ( ( ( aSubsetOf0 @ W0 @ W1 )
& ( aSubsetOf0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
thf(52,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( aSubsetOf0 @ W0 @ W0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
thf(53,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isFinite0 @ W0 ) )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
=> ( isFinite0 @ W1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
thf(56,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( ( isCountable0 @ W0 )
=> $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCntRel) ).
thf(58,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( ( isFinite0 @ W0 )
=> $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFinRel) ).
thf(59,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElement0 @ W1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
thf(60,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mElmSort) ).
thf(61,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSetSort) ).
thf(62,axiom,
( ( aElementOf0 @ xp @ xP )
& $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5538) ).
thf(63,axiom,
xp = xx,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5496) ).
thf(64,axiom,
( ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ) )
& ( aElementOf0 @ xx @ xQ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5481) ).
thf(65,axiom,
aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( sdtlpdtrp0 @ xN @ xm ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5461) ).
thf(66,axiom,
~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5442) ).
thf(67,axiom,
( xx
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5401) ).
thf(68,axiom,
( ( aElementOf0 @ xm @ szNzAzT0 )
& ( xx
= ( sdtlpdtrp0 @ xe @ xm ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5389) ).
thf(69,axiom,
( ( aElementOf0 @ xx @ szNzAzT0 )
& ( aElementOf0 @ xx @ xO ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5365) ).
thf(70,axiom,
aElementOf0 @ xx @ xP,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).
thf(71,axiom,
( ( sdtlpdtrp0 @ xd @ xn )
= ( szDzizrdt0 @ xd ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5321) ).
thf(75,axiom,
aSubsetOf0 @ xP @ xO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5208) ).
thf(76,axiom,
aSubsetOf0 @ xP @ xQ,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5195) ).
thf(77,axiom,
aElementOf0 @ xp @ xO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5182) ).
thf(78,axiom,
aElementOf0 @ xp @ xQ,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5173) ).
thf(79,axiom,
( ( aSet0 @ xP )
& ( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
thf(80,axiom,
( xp
= ( szmzizndt0 @ xQ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
thf(82,axiom,
aSubsetOf0 @ xQ @ szNzAzT0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
thf(83,axiom,
( ( aSubsetOf0 @ xQ @ xO )
& ( xQ != slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
thf(84,axiom,
aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xO @ xK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
thf(85,axiom,
aSubsetOf0 @ xO @ xS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
thf(87,axiom,
( ( aSet0 @ xO )
& ( isCountable0 @ xO ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
thf(99,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 )
& ( W0 != W1 ) )
=> ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3821) ).
thf(100,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W1 @ W0 )
=> ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
thf(101,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
thf(103,axiom,
( ( aElementOf0 @ xk @ szNzAzT0 )
& ( ( szszuzczcdt0 @ xk )
= xK ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
thf(104,axiom,
xK != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3520) ).
thf(105,axiom,
xK != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
thf(109,axiom,
aElementOf0 @ xK @ szNzAzT0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
thf(111,conjecture,
aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
thf(112,negated_conjecture,
( ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[111]) ).
thf(113,plain,
( ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
= $false ),
inference(unfold_def,[status(thm)],[112]) ).
thf(114,plain,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( sbrdtbr0 @ ( slbdtrb0 @ W0 ) )
= W0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(115,plain,
( ( ! [W0: $i] :
( ( ( aSubsetOf0 @ W0 @ szNzAzT0 )
& ( isFinite0 @ W0 ) )
=> ? [W1: $i] :
( ( aElementOf0 @ W1 @ szNzAzT0 )
& ( aSubsetOf0 @ W0 @ ( slbdtrb0 @ W1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(116,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
<=> ( aSubsetOf0 @ ( slbdtrb0 @ W0 ) @ ( slbdtrb0 @ W1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(117,plain,
( ( ( slbdtrb0 @ sz00 )
= slcrc0 )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(118,plain,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( isFinite0 @ ( slbdtrb0 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(119,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aSubsetOf0 @ W0 @ szNzAzT0 )
& ( aSubsetOf0 @ W1 @ szNzAzT0 )
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) )
=> ( ( ( aElementOf0 @ ( szmzizndt0 @ W0 ) @ W1 )
& ( aElementOf0 @ ( szmzizndt0 @ W1 ) @ W0 ) )
=> ( ( szmzizndt0 @ W0 )
= ( szmzizndt0 @ W1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(120,plain,
( ( ! [W0: $i] :
( ( aSet0 @ W0 )
=> ( aElement0 @ ( sbrdtbr0 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(121,plain,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ sz00 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(122,plain,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( sdtlseqdt0 @ sz00 @ W0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(123,plain,
( ( ( aSet0 @ szNzAzT0 )
& ( isCountable0 @ szNzAzT0 ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(124,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aSet0 @ W0 )
& ( aSet0 @ W1 )
& ( aSet0 @ W2 ) )
=> ( ( ( aSubsetOf0 @ W0 @ W1 )
& ( aSubsetOf0 @ W1 @ W2 ) )
=> ( aSubsetOf0 @ W0 @ W2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(125,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aSet0 @ W0 )
& ( aSet0 @ W1 ) )
=> ( ( ( aSubsetOf0 @ W0 @ W1 )
& ( aSubsetOf0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(126,plain,
( ( ! [W0: $i] :
( ( aSet0 @ W0 )
=> ( aSubsetOf0 @ W0 @ W0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(127,plain,
( ( ! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isFinite0 @ W0 ) )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
=> ( isFinite0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(128,plain,
( ( ! [W0: $i] :
( ( aSet0 @ W0 )
=> ( ( isCountable0 @ W0 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(129,plain,
( ( ! [W0: $i] :
( ( aSet0 @ W0 )
=> ( ( isFinite0 @ W0 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(130,plain,
( ( ! [W0: $i] :
( ( aElement0 @ W0 )
=> $true ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(131,plain,
( ( ! [W0: $i] :
( ( aSet0 @ W0 )
=> $true ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(132,plain,
( ( ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ) )
& ( aElementOf0 @ xx @ xQ ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(133,plain,
( ( ( aElementOf0 @ xm @ szNzAzT0 )
& ( xx
= ( sdtlpdtrp0 @ xe @ xm ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(134,plain,
( ( aSubsetOf0 @ xP @ xO )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(135,plain,
( ( aSubsetOf0 @ xP @ xQ )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(136,plain,
( ( ( aSet0 @ xP )
& ( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(137,plain,
( ( xp
= ( szmzizndt0 @ xQ ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(138,plain,
( ( aSubsetOf0 @ xQ @ szNzAzT0 )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(139,plain,
( ( ( aSubsetOf0 @ xQ @ xO )
& ( xQ != slcrc0 ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(140,plain,
( ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xO @ xK ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(141,plain,
( ( aSubsetOf0 @ xO @ xS )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(142,plain,
( ( ( aSet0 @ xO )
& ( isCountable0 @ xO ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(143,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W1 @ W0 )
=> ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(144,plain,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(145,plain,
( ( ( aElementOf0 @ xk @ szNzAzT0 )
& ( ( szszuzczcdt0 @ xk )
= xK ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(146,plain,
( ( ( xK != sz00 ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(147,plain,
( ( ( xK != sz00 ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(148,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ W1 ) ) )
<=> ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ W1 ) )
| ( W0 = W1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(149,plain,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( iLess0 @ W0 @ ( szszuzczcdt0 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(150,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( iLess0 @ W0 @ W1 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(151,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(152,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 )
& ( aElementOf0 @ W2 @ szNzAzT0 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( sdtlseqdt0 @ W0 @ W2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(153,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(154,plain,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(155,plain,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( sdtlseqdt0 @ W0 @ ( szszuzczcdt0 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(156,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
<=> ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ ( szszuzczcdt0 @ W1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(157,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(158,plain,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( W0
!= ( szszuzczcdt0 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(159,plain,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( W0 = sz00 )
| ? [W1: $i] :
( ( aElementOf0 @ W1 @ szNzAzT0 )
& ( W0
= ( szszuzczcdt0 @ W1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(160,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( ( szszuzczcdt0 @ W0 )
= ( szszuzczcdt0 @ W1 ) )
=> ( W0 = W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(161,plain,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 )
& ( ( szszuzczcdt0 @ W0 )
!= sz00 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(162,plain,
( ( aElementOf0 @ sz00 @ szNzAzT0 )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(163,plain,
( ( ! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElement0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(164,plain,
( ( ( aElementOf0 @ xp @ xP )
& $false )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(165,plain,
( ( xp = xx )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(166,plain,
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( sdtlpdtrp0 @ xN @ xm ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(167,plain,
( ( ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(168,plain,
( ( xx
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(169,plain,
( ( ( aElementOf0 @ xx @ szNzAzT0 )
& ( aElementOf0 @ xx @ xO ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(170,plain,
( ( aElementOf0 @ xx @ xP )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(171,plain,
( ( ( sdtlpdtrp0 @ xd @ xn )
= ( szDzizrdt0 @ xd ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(172,plain,
( ( aElementOf0 @ xp @ xO )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(173,plain,
( ( aElementOf0 @ xp @ xQ )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(174,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 )
& ( W0 != W1 ) )
=> ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(175,plain,
( ( aElementOf0 @ xK @ szNzAzT0 )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(176,plain,
( ( ~ ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[113]) ).
thf(177,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( ( sbrdtbr0 @ ( slbdtrb0 @ W0 ) )
= W0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[114]) ).
thf(178,plain,
( ( ! [W0: $i] :
( ~ ( aSubsetOf0 @ W0 @ szNzAzT0 )
| ~ ( isFinite0 @ W0 )
| ( ( aElementOf0 @ ( sK1_W1 @ W0 ) @ szNzAzT0 )
& ( aSubsetOf0 @ W0 @ ( slbdtrb0 @ ( sK1_W1 @ W0 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[115]) ).
thf(179,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ ( slbdtrb0 @ W0 ) @ ( slbdtrb0 @ W1 ) )
| ( sdtlseqdt0 @ W0 @ W1 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( aSubsetOf0 @ ( slbdtrb0 @ W0 ) @ ( slbdtrb0 @ W1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[116]) ).
thf(180,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( isFinite0 @ ( slbdtrb0 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[118]) ).
thf(181,plain,
( ( ! [W0: $i,W1: $i] :
( ( W1 = slcrc0 )
| ( W0 = slcrc0 )
| ~ ( aSubsetOf0 @ W0 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ W1 @ szNzAzT0 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ W0 ) @ W1 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ W1 ) @ W0 )
| ( ( szmzizndt0 @ W0 )
= ( szmzizndt0 @ W1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[119]) ).
thf(182,plain,
( ( ! [W0: $i] :
( ~ ( aSet0 @ W0 )
| ( aElement0 @ ( sbrdtbr0 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[120]) ).
thf(183,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ sz00 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[121]) ).
thf(184,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( sdtlseqdt0 @ sz00 @ W0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[122]) ).
thf(185,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aSet0 @ W0 )
| ~ ( aSet0 @ W1 )
| ~ ( aSet0 @ W2 )
| ~ ( aSubsetOf0 @ W0 @ W1 )
| ~ ( aSubsetOf0 @ W1 @ W2 )
| ( aSubsetOf0 @ W0 @ W2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[124]) ).
thf(186,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aSet0 @ W0 )
| ~ ( aSet0 @ W1 )
| ~ ( aSubsetOf0 @ W0 @ W1 )
| ~ ( aSubsetOf0 @ W1 @ W0 )
| ( W0 = W1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[125]) ).
thf(187,plain,
( ( ! [W0: $i] :
( ~ ( aSet0 @ W0 )
| ( aSubsetOf0 @ W0 @ W0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[126]) ).
thf(188,plain,
( ( ! [W0: $i] :
( ~ ( aSet0 @ W0 )
| ~ ( isFinite0 @ W0 )
| ! [W1: $i] :
( ~ ( aSubsetOf0 @ W1 @ W0 )
| ( isFinite0 @ W1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[127]) ).
thf(189,plain,
( ( ! [W0: $i] :
~ ( aSet0 @ W0 )
| $true )
= $true ),
inference(extcnf_combined,[status(esa)],[128]) ).
thf(190,plain,
( ( ! [W0: $i] :
~ ( aSet0 @ W0 )
| $true )
= $true ),
inference(extcnf_combined,[status(esa)],[129]) ).
thf(191,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(extcnf_combined,[status(esa)],[130]) ).
thf(192,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(extcnf_combined,[status(esa)],[131]) ).
thf(193,plain,
( ( ( xx
= ( sdtlpdtrp0 @ xe @ xm ) )
& ( aElementOf0 @ xm @ szNzAzT0 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[133]) ).
thf(194,plain,
( ( ( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
& ( aSet0 @ xP ) )
= $true ),
inference(extcnf_combined,[status(esa)],[136]) ).
thf(195,plain,
( ( ( xQ != slcrc0 )
& ( aSubsetOf0 @ xQ @ xO ) )
= $true ),
inference(extcnf_combined,[status(esa)],[139]) ).
thf(196,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ W1 @ W0 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[143]) ).
thf(197,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[144]) ).
thf(198,plain,
( ( ( ( szszuzczcdt0 @ xk )
= xK )
& ( aElementOf0 @ xk @ szNzAzT0 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[145]) ).
thf(199,plain,
( ( ( xK != sz00 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[146]) ).
thf(200,plain,
( ( ( xK != sz00 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[147]) ).
thf(201,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ W1 ) ) )
| ( W0 = W1 )
| ( aElementOf0 @ W0 @ ( slbdtrb0 @ W1 ) ) )
& ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ( W0 != W1 )
| ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ W1 ) ) ) )
& ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( aElementOf0 @ W0 @ ( slbdtrb0 @ W1 ) )
| ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ W1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[148]) ).
thf(202,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( iLess0 @ W0 @ ( szszuzczcdt0 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[149]) ).
thf(203,plain,
( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 )
| $true )
= $true ),
inference(extcnf_combined,[status(esa)],[150]) ).
thf(204,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ( sdtlseqdt0 @ W0 @ W1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[151]) ).
thf(205,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( aElementOf0 @ W2 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ W0 @ W2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[152]) ).
thf(206,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W0 )
| ( W0 = W1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[153]) ).
thf(207,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[154]) ).
thf(208,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( sdtlseqdt0 @ W0 @ ( szszuzczcdt0 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[155]) ).
thf(209,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ ( szszuzczcdt0 @ W1 ) ) )
& ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ ( szszuzczcdt0 @ W1 ) )
| ( sdtlseqdt0 @ W0 @ W1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[156]) ).
thf(210,plain,
( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 )
| $true )
= $true ),
inference(extcnf_combined,[status(esa)],[157]) ).
thf(211,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( W0
!= ( szszuzczcdt0 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[158]) ).
thf(212,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( W0 = sz00 )
| ( ( W0
= ( szszuzczcdt0 @ ( sK2_W1 @ W0 ) ) )
& ( aElementOf0 @ ( sK2_W1 @ W0 ) @ szNzAzT0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[159]) ).
thf(213,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ W0 )
!= ( szszuzczcdt0 @ W1 ) )
| ( W0 = W1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[160]) ).
thf(214,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ W0 )
!= sz00 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[161]) ).
thf(215,plain,
( ( ! [W0: $i] :
( ~ ( aSet0 @ W0 )
| ! [W1: $i] :
( ~ ( aElementOf0 @ W1 @ W0 )
| ( aElement0 @ W1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[163]) ).
thf(216,plain,
$false = $true,
inference(extcnf_combined,[status(esa)],[164]) ).
thf(217,plain,
( ( ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[174]) ).
thf(218,plain,
( ( aElementOf0 @ xK @ szNzAzT0 )
= $true ),
inference(copy,[status(thm)],[175]) ).
thf(219,plain,
( ( ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[217]) ).
thf(220,plain,
( ( aElementOf0 @ xp @ xQ )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(221,plain,
( ( aElementOf0 @ xp @ xO )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(222,plain,
( ( ( sdtlpdtrp0 @ xd @ xn )
= ( szDzizrdt0 @ xd ) )
= $true ),
inference(copy,[status(thm)],[171]) ).
thf(223,plain,
( ( aElementOf0 @ xx @ xP )
= $true ),
inference(copy,[status(thm)],[170]) ).
thf(224,plain,
( ( ( aElementOf0 @ xx @ szNzAzT0 )
& ( aElementOf0 @ xx @ xO ) )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(225,plain,
( ( xx
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) )
= $true ),
inference(copy,[status(thm)],[168]) ).
thf(226,plain,
( ( ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) )
= $true ),
inference(copy,[status(thm)],[167]) ).
thf(227,plain,
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( sdtlpdtrp0 @ xN @ xm ) )
= $true ),
inference(copy,[status(thm)],[166]) ).
thf(228,plain,
( ( xp = xx )
= $true ),
inference(copy,[status(thm)],[165]) ).
thf(229,plain,
$false = $true,
inference(copy,[status(thm)],[216]) ).
thf(230,plain,
( ( ! [W0: $i] :
( ~ ( aSet0 @ W0 )
| ! [W1: $i] :
( ~ ( aElementOf0 @ W1 @ W0 )
| ( aElement0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[215]) ).
thf(231,plain,
( ( aElementOf0 @ sz00 @ szNzAzT0 )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(232,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ W0 )
!= sz00 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 ) ) )
= $true ),
inference(copy,[status(thm)],[214]) ).
thf(233,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ W0 )
!= ( szszuzczcdt0 @ W1 ) )
| ( W0 = W1 ) ) )
= $true ),
inference(copy,[status(thm)],[213]) ).
thf(234,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( W0 = sz00 )
| ( ( W0
= ( szszuzczcdt0 @ ( sK2_W1 @ W0 ) ) )
& ( aElementOf0 @ ( sK2_W1 @ W0 ) @ szNzAzT0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[212]) ).
thf(235,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( W0
!= ( szszuzczcdt0 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[211]) ).
thf(236,plain,
( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 )
| $true )
= $true ),
inference(copy,[status(thm)],[210]) ).
thf(237,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ ( szszuzczcdt0 @ W1 ) ) )
& ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ ( szszuzczcdt0 @ W1 ) )
| ( sdtlseqdt0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[209]) ).
thf(238,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( sdtlseqdt0 @ W0 @ ( szszuzczcdt0 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[208]) ).
thf(239,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(copy,[status(thm)],[207]) ).
thf(240,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W0 )
| ( W0 = W1 ) ) )
= $true ),
inference(copy,[status(thm)],[206]) ).
thf(241,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( aElementOf0 @ W2 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[205]) ).
thf(242,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ( sdtlseqdt0 @ W0 @ W1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) )
= $true ),
inference(copy,[status(thm)],[204]) ).
thf(243,plain,
( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 )
| $true )
= $true ),
inference(copy,[status(thm)],[203]) ).
thf(244,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( iLess0 @ W0 @ ( szszuzczcdt0 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[202]) ).
thf(245,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ W1 ) ) )
| ( W0 = W1 )
| ( aElementOf0 @ W0 @ ( slbdtrb0 @ W1 ) ) )
& ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ( W0 != W1 )
| ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ W1 ) ) ) )
& ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( aElementOf0 @ W0 @ ( slbdtrb0 @ W1 ) )
| ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ W1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[201]) ).
thf(246,plain,
( ( ( xK != sz00 ) )
= $true ),
inference(copy,[status(thm)],[200]) ).
thf(247,plain,
( ( ( xK != sz00 ) )
= $true ),
inference(copy,[status(thm)],[199]) ).
thf(248,plain,
( ( ( ( szszuzczcdt0 @ xk )
= xK )
& ( aElementOf0 @ xk @ szNzAzT0 ) )
= $true ),
inference(copy,[status(thm)],[198]) ).
thf(249,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) )
& ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[197]) ).
thf(250,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ W1 @ W0 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[196]) ).
thf(251,plain,
( ( ( aSet0 @ xO )
& ( isCountable0 @ xO ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(252,plain,
( ( aSubsetOf0 @ xO @ xS )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(253,plain,
( ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xO @ xK ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(254,plain,
( ( ( xQ != slcrc0 )
& ( aSubsetOf0 @ xQ @ xO ) )
= $true ),
inference(copy,[status(thm)],[195]) ).
thf(255,plain,
( ( aSubsetOf0 @ xQ @ szNzAzT0 )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(256,plain,
( ( xp
= ( szmzizndt0 @ xQ ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(257,plain,
( ( ( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
& ( aSet0 @ xP ) )
= $true ),
inference(copy,[status(thm)],[194]) ).
thf(258,plain,
( ( aSubsetOf0 @ xP @ xQ )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(259,plain,
( ( aSubsetOf0 @ xP @ xO )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(260,plain,
( ( ( xx
= ( sdtlpdtrp0 @ xe @ xm ) )
& ( aElementOf0 @ xm @ szNzAzT0 ) )
= $true ),
inference(copy,[status(thm)],[193]) ).
thf(261,plain,
( ( ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ) )
& ( aElementOf0 @ xx @ xQ ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(262,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[192]) ).
thf(263,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[191]) ).
thf(264,plain,
( ( ! [W0: $i] :
~ ( aSet0 @ W0 )
| $true )
= $true ),
inference(copy,[status(thm)],[190]) ).
thf(265,plain,
( ( ! [W0: $i] :
~ ( aSet0 @ W0 )
| $true )
= $true ),
inference(copy,[status(thm)],[189]) ).
thf(266,plain,
( ( ! [W0: $i] :
( ~ ( aSet0 @ W0 )
| ~ ( isFinite0 @ W0 )
| ! [W1: $i] :
( ~ ( aSubsetOf0 @ W1 @ W0 )
| ( isFinite0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[188]) ).
thf(267,plain,
( ( ! [W0: $i] :
( ~ ( aSet0 @ W0 )
| ( aSubsetOf0 @ W0 @ W0 ) ) )
= $true ),
inference(copy,[status(thm)],[187]) ).
thf(268,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aSet0 @ W0 )
| ~ ( aSet0 @ W1 )
| ~ ( aSubsetOf0 @ W0 @ W1 )
| ~ ( aSubsetOf0 @ W1 @ W0 )
| ( W0 = W1 ) ) )
= $true ),
inference(copy,[status(thm)],[186]) ).
thf(269,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aSet0 @ W0 )
| ~ ( aSet0 @ W1 )
| ~ ( aSet0 @ W2 )
| ~ ( aSubsetOf0 @ W0 @ W1 )
| ~ ( aSubsetOf0 @ W1 @ W2 )
| ( aSubsetOf0 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[185]) ).
thf(270,plain,
( ( ( aSet0 @ szNzAzT0 )
& ( isCountable0 @ szNzAzT0 ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(271,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( sdtlseqdt0 @ sz00 @ W0 ) ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(272,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ sz00 ) ) )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(273,plain,
( ( ! [W0: $i] :
( ~ ( aSet0 @ W0 )
| ( aElement0 @ ( sbrdtbr0 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[182]) ).
thf(274,plain,
( ( ! [W0: $i,W1: $i] :
( ( W1 = slcrc0 )
| ( W0 = slcrc0 )
| ~ ( aSubsetOf0 @ W0 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ W1 @ szNzAzT0 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ W0 ) @ W1 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ W1 ) @ W0 )
| ( ( szmzizndt0 @ W0 )
= ( szmzizndt0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[181]) ).
thf(275,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( isFinite0 @ ( slbdtrb0 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(276,plain,
( ( ( slbdtrb0 @ sz00 )
= slcrc0 )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(277,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ ( slbdtrb0 @ W0 ) @ ( slbdtrb0 @ W1 ) )
| ( sdtlseqdt0 @ W0 @ W1 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( aSubsetOf0 @ ( slbdtrb0 @ W0 ) @ ( slbdtrb0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(278,plain,
( ( ! [W0: $i] :
( ~ ( aSubsetOf0 @ W0 @ szNzAzT0 )
| ~ ( isFinite0 @ W0 )
| ( ( aElementOf0 @ ( sK1_W1 @ W0 ) @ szNzAzT0 )
& ( aSubsetOf0 @ W0 @ ( slbdtrb0 @ ( sK1_W1 @ W0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[178]) ).
thf(279,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( ( sbrdtbr0 @ ( slbdtrb0 @ W0 ) )
= W0 ) ) )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(280,plain,
( ( ~ ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(281,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ SX0 )
!= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( aElementOf0 @ ( szszuzczcdt0 @ SX0 ) @ szNzAzT0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(282,plain,
( ( ~ ( ( ( szszuzczcdt0 @ xk )
!= xK )
| ~ ( aElementOf0 @ xk @ szNzAzT0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(283,plain,
( ( ~ ( ( xx
!= ( sdtlpdtrp0 @ xe @ xm ) )
| ~ ( aElementOf0 @ xm @ szNzAzT0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(284,plain,
( ( ! [SX0: $i] :
( ~ ( aSubsetOf0 @ SX0 @ szNzAzT0 )
| ~ ( isFinite0 @ SX0 )
| ~ ( ~ ( aElementOf0 @ ( sK1_W1 @ SX0 ) @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SX0 @ ( slbdtrb0 @ ( sK1_W1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(285,plain,
( ( ~ ( ~ ( ( xQ != slcrc0 ) )
| ~ ( aSubsetOf0 @ xQ @ xO ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(286,plain,
( ( ~ ( ~ ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ) )
| ~ ( aElementOf0 @ xx @ xQ ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(287,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( SX0 = sz00 )
| ~ ( ( SX0
!= ( szszuzczcdt0 @ ( sK2_W1 @ SX0 ) ) )
| ~ ( aElementOf0 @ ( sK2_W1 @ SX0 ) @ szNzAzT0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(288,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ SX0 ) @ szNzAzT0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( isCountable0 @ ( sdtlpdtrp0 @ xN @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(289,plain,
( ( ~ ( ( xP
!= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
| ~ ( aSet0 @ xP ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(290,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) )
| ( SX0 = SX1 )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ( SX0 != SX1 )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX0 @ ( slbdtrb0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(291,plain,
( ( ~ ( ~ ( aSet0 @ szNzAzT0 )
| ~ ( isCountable0 @ szNzAzT0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(292,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ ( slbdtrb0 @ SX0 ) @ ( slbdtrb0 @ SX1 ) )
| ( sdtlseqdt0 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SX0 @ SX1 )
| ( aSubsetOf0 @ ( slbdtrb0 @ SX0 ) @ ( slbdtrb0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(293,plain,
( ( ~ ( ~ ( aElementOf0 @ xx @ szNzAzT0 )
| ~ ( aElementOf0 @ xx @ xO ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(294,plain,
( ( ~ ( ~ ( aSet0 @ xO )
| ~ ( isCountable0 @ xO ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(295,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SX0 @ SX1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SX0 ) @ ( szszuzczcdt0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ SX0 ) @ ( szszuzczcdt0 @ SX1 ) )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[237]) ).
thf(296,plain,
! [SV1: $i] :
( ( ! [SY54: $i] :
( ( SV1 = SY54 )
| ~ ( aElementOf0 @ SV1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY54 @ szNzAzT0 )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SY54 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(297,plain,
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(298,plain,
! [SV2: $i] :
( ( ~ ( aSet0 @ SV2 )
| ! [SY55: $i] :
( ~ ( aElementOf0 @ SY55 @ SV2 )
| ( aElement0 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(299,plain,
! [SV3: $i] :
( ( ! [SY56: $i] :
( ~ ( aElementOf0 @ SV3 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY56 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ SV3 )
!= ( szszuzczcdt0 @ SY56 ) )
| ( SV3 = SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(300,plain,
! [SV4: $i] :
( ( ~ ( aElementOf0 @ SV4 @ szNzAzT0 )
| ( SV4
!= ( szszuzczcdt0 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(301,plain,
( ( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(302,plain,
! [SV5: $i] :
( ( ~ ( aElementOf0 @ SV5 @ szNzAzT0 )
| ( sdtlseqdt0 @ SV5 @ ( szszuzczcdt0 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(303,plain,
! [SV6: $i] :
( ( ~ ( aElementOf0 @ SV6 @ szNzAzT0 )
| ( sdtlseqdt0 @ SV6 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(304,plain,
! [SV7: $i] :
( ( ! [SY57: $i] :
( ~ ( aElementOf0 @ SV7 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY57 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SV7 @ SY57 )
| ~ ( sdtlseqdt0 @ SY57 @ SV7 )
| ( SV7 = SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(305,plain,
! [SV8: $i] :
( ( ! [SY58: $i,SY59: $i] :
( ~ ( aElementOf0 @ SV8 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY58 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY59 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SV8 @ SY58 )
| ~ ( sdtlseqdt0 @ SY58 @ SY59 )
| ( sdtlseqdt0 @ SV8 @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(306,plain,
! [SV9: $i] :
( ( ! [SY60: $i] :
( ~ ( aElementOf0 @ SV9 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY60 @ szNzAzT0 )
| ( sdtlseqdt0 @ SV9 @ SY60 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SY60 ) @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(307,plain,
( ( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(308,plain,
! [SV10: $i] :
( ( ~ ( aElementOf0 @ SV10 @ szNzAzT0 )
| ( iLess0 @ SV10 @ ( szszuzczcdt0 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(309,plain,
( ( xK = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(310,plain,
( ( xK = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(311,plain,
! [SV11: $i] :
( ( ! [SY61: $i] :
( ~ ( aElementOf0 @ SV11 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY61 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SY61 @ SV11 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ SV11 ) @ ( sdtlpdtrp0 @ xN @ SY61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(312,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(313,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(314,plain,
( ( ( ! [W0: $i] :
~ ( aSet0 @ W0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(315,plain,
( ( ( ! [W0: $i] :
~ ( aSet0 @ W0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(316,plain,
! [SV14: $i] :
( ( ~ ( aSet0 @ SV14 )
| ~ ( isFinite0 @ SV14 )
| ! [SY62: $i] :
( ~ ( aSubsetOf0 @ SY62 @ SV14 )
| ( isFinite0 @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(317,plain,
! [SV15: $i] :
( ( ~ ( aSet0 @ SV15 )
| ( aSubsetOf0 @ SV15 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(318,plain,
! [SV16: $i] :
( ( ! [SY63: $i] :
( ~ ( aSet0 @ SV16 )
| ~ ( aSet0 @ SY63 )
| ~ ( aSubsetOf0 @ SV16 @ SY63 )
| ~ ( aSubsetOf0 @ SY63 @ SV16 )
| ( SV16 = SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(319,plain,
! [SV17: $i] :
( ( ! [SY64: $i,SY65: $i] :
( ~ ( aSet0 @ SV17 )
| ~ ( aSet0 @ SY64 )
| ~ ( aSet0 @ SY65 )
| ~ ( aSubsetOf0 @ SV17 @ SY64 )
| ~ ( aSubsetOf0 @ SY64 @ SY65 )
| ( aSubsetOf0 @ SV17 @ SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(320,plain,
! [SV18: $i] :
( ( ~ ( aElementOf0 @ SV18 @ szNzAzT0 )
| ( sdtlseqdt0 @ sz00 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(321,plain,
! [SV19: $i] :
( ( ~ ( aElementOf0 @ SV19 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV19 ) @ sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(322,plain,
! [SV20: $i] :
( ( ~ ( aSet0 @ SV20 )
| ( aElement0 @ ( sbrdtbr0 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(323,plain,
! [SV21: $i] :
( ( ! [SY66: $i] :
( ( SY66 = slcrc0 )
| ( SV21 = slcrc0 )
| ~ ( aSubsetOf0 @ SV21 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SY66 @ szNzAzT0 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV21 ) @ SY66 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SY66 ) @ SV21 )
| ( ( szmzizndt0 @ SV21 )
= ( szmzizndt0 @ SY66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(324,plain,
! [SV22: $i] :
( ( ~ ( aElementOf0 @ SV22 @ szNzAzT0 )
| ( isFinite0 @ ( slbdtrb0 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(325,plain,
! [SV23: $i] :
( ( ~ ( aElementOf0 @ SV23 @ szNzAzT0 )
| ( ( sbrdtbr0 @ ( slbdtrb0 @ SV23 ) )
= SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(326,plain,
( ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(327,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ SX0 )
!= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( aElementOf0 @ ( szszuzczcdt0 @ SX0 ) @ szNzAzT0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(328,plain,
( ( ( ( szszuzczcdt0 @ xk )
!= xK )
| ~ ( aElementOf0 @ xk @ szNzAzT0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(329,plain,
( ( ( xx
!= ( sdtlpdtrp0 @ xe @ xm ) )
| ~ ( aElementOf0 @ xm @ szNzAzT0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(330,plain,
! [SV24: $i] :
( ( ~ ( aSubsetOf0 @ SV24 @ szNzAzT0 )
| ~ ( isFinite0 @ SV24 )
| ~ ( ~ ( aElementOf0 @ ( sK1_W1 @ SV24 ) @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SV24 @ ( slbdtrb0 @ ( sK1_W1 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(331,plain,
( ( ~ ( ( xQ != slcrc0 ) )
| ~ ( aSubsetOf0 @ xQ @ xO ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(332,plain,
( ( ~ ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ) )
| ~ ( aElementOf0 @ xx @ xQ ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(333,plain,
! [SV25: $i] :
( ( ~ ( aElementOf0 @ SV25 @ szNzAzT0 )
| ( SV25 = sz00 )
| ~ ( ( SV25
!= ( szszuzczcdt0 @ ( sK2_W1 @ SV25 ) ) )
| ~ ( aElementOf0 @ ( sK2_W1 @ SV25 ) @ szNzAzT0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(334,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ SX0 ) @ szNzAzT0 ) )
| ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( isCountable0 @ ( sdtlpdtrp0 @ xN @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(335,plain,
( ( ( xP
!= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
| ~ ( aSet0 @ xP ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(336,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) )
| ( SX0 = SX1 )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ( SX0 != SX1 )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX0 @ ( slbdtrb0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(337,plain,
( ( ~ ( aSet0 @ szNzAzT0 )
| ~ ( isCountable0 @ szNzAzT0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(338,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ ( slbdtrb0 @ SX0 ) @ ( slbdtrb0 @ SX1 ) )
| ( sdtlseqdt0 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SX0 @ SX1 )
| ( aSubsetOf0 @ ( slbdtrb0 @ SX0 ) @ ( slbdtrb0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(339,plain,
( ( ~ ( aElementOf0 @ xx @ szNzAzT0 )
| ~ ( aElementOf0 @ xx @ xO ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(340,plain,
( ( ~ ( aSet0 @ xO )
| ~ ( isCountable0 @ xO ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(341,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SX0 @ SX1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SX0 ) @ ( szszuzczcdt0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ SX0 ) @ ( szszuzczcdt0 @ SX1 ) )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(342,plain,
! [SV26: $i,SV1: $i] :
( ( ( SV1 = SV26 )
| ~ ( aElementOf0 @ SV1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV26 @ szNzAzT0 )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(343,plain,
! [SV2: $i] :
( ( ( ~ ( aSet0 @ SV2 ) )
= $true )
| ( ( ! [SY55: $i] :
( ~ ( aElementOf0 @ SY55 @ SV2 )
| ( aElement0 @ SY55 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(344,plain,
! [SV27: $i,SV3: $i] :
( ( ~ ( aElementOf0 @ SV3 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV27 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ SV3 )
!= ( szszuzczcdt0 @ SV27 ) )
| ( SV3 = SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(345,plain,
! [SV4: $i] :
( ( ( ~ ( aElementOf0 @ SV4 @ szNzAzT0 ) )
= $true )
| ( ( ( SV4
!= ( szszuzczcdt0 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(346,plain,
( ( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(347,plain,
! [SV5: $i] :
( ( ( ~ ( aElementOf0 @ SV5 @ szNzAzT0 ) )
= $true )
| ( ( sdtlseqdt0 @ SV5 @ ( szszuzczcdt0 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(348,plain,
! [SV6: $i] :
( ( ( ~ ( aElementOf0 @ SV6 @ szNzAzT0 ) )
= $true )
| ( ( sdtlseqdt0 @ SV6 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(349,plain,
! [SV28: $i,SV7: $i] :
( ( ~ ( aElementOf0 @ SV7 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV28 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SV7 @ SV28 )
| ~ ( sdtlseqdt0 @ SV28 @ SV7 )
| ( SV7 = SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(350,plain,
! [SV29: $i,SV8: $i] :
( ( ! [SY67: $i] :
( ~ ( aElementOf0 @ SV8 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV29 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY67 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SV8 @ SV29 )
| ~ ( sdtlseqdt0 @ SV29 @ SY67 )
| ( sdtlseqdt0 @ SV8 @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(351,plain,
! [SV30: $i,SV9: $i] :
( ( ~ ( aElementOf0 @ SV9 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV30 @ szNzAzT0 )
| ( sdtlseqdt0 @ SV9 @ SV30 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV30 ) @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(352,plain,
( ( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(353,plain,
! [SV10: $i] :
( ( ( ~ ( aElementOf0 @ SV10 @ szNzAzT0 ) )
= $true )
| ( ( iLess0 @ SV10 @ ( szszuzczcdt0 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(354,plain,
! [SV31: $i,SV11: $i] :
( ( ~ ( aElementOf0 @ SV11 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV31 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SV31 @ SV11 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ SV11 ) @ ( sdtlpdtrp0 @ xN @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(355,plain,
! [SV32: $i] :
( ( ( ~ ( aSet0 @ SV32 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(356,plain,
! [SV33: $i] :
( ( ( ~ ( aSet0 @ SV33 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(357,plain,
! [SV14: $i] :
( ( ( ~ ( aSet0 @ SV14 )
| ~ ( isFinite0 @ SV14 ) )
= $true )
| ( ( ! [SY62: $i] :
( ~ ( aSubsetOf0 @ SY62 @ SV14 )
| ( isFinite0 @ SY62 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(358,plain,
! [SV15: $i] :
( ( ( ~ ( aSet0 @ SV15 ) )
= $true )
| ( ( aSubsetOf0 @ SV15 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(359,plain,
! [SV34: $i,SV16: $i] :
( ( ~ ( aSet0 @ SV16 )
| ~ ( aSet0 @ SV34 )
| ~ ( aSubsetOf0 @ SV16 @ SV34 )
| ~ ( aSubsetOf0 @ SV34 @ SV16 )
| ( SV16 = SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(360,plain,
! [SV35: $i,SV17: $i] :
( ( ! [SY68: $i] :
( ~ ( aSet0 @ SV17 )
| ~ ( aSet0 @ SV35 )
| ~ ( aSet0 @ SY68 )
| ~ ( aSubsetOf0 @ SV17 @ SV35 )
| ~ ( aSubsetOf0 @ SV35 @ SY68 )
| ( aSubsetOf0 @ SV17 @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(361,plain,
! [SV18: $i] :
( ( ( ~ ( aElementOf0 @ SV18 @ szNzAzT0 ) )
= $true )
| ( ( sdtlseqdt0 @ sz00 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(362,plain,
! [SV19: $i] :
( ( ( ~ ( aElementOf0 @ SV19 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV19 ) @ sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(363,plain,
! [SV20: $i] :
( ( ( ~ ( aSet0 @ SV20 ) )
= $true )
| ( ( aElement0 @ ( sbrdtbr0 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(364,plain,
! [SV21: $i,SV36: $i] :
( ( ( SV36 = slcrc0 )
| ( SV21 = slcrc0 )
| ~ ( aSubsetOf0 @ SV21 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SV36 @ szNzAzT0 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV21 ) @ SV36 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV36 ) @ SV21 )
| ( ( szmzizndt0 @ SV21 )
= ( szmzizndt0 @ SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(365,plain,
! [SV22: $i] :
( ( ( ~ ( aElementOf0 @ SV22 @ szNzAzT0 ) )
= $true )
| ( ( isFinite0 @ ( slbdtrb0 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(366,plain,
! [SV23: $i] :
( ( ( ~ ( aElementOf0 @ SV23 @ szNzAzT0 ) )
= $true )
| ( ( ( sbrdtbr0 @ ( slbdtrb0 @ SV23 ) )
= SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(367,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ SX0 )
!= sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(368,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( aElementOf0 @ ( szszuzczcdt0 @ SX0 ) @ szNzAzT0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(369,plain,
( ( ( ( szszuzczcdt0 @ xk )
!= xK ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(370,plain,
( ( ~ ( aElementOf0 @ xk @ szNzAzT0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(371,plain,
( ( ( xx
!= ( sdtlpdtrp0 @ xe @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(372,plain,
( ( ~ ( aElementOf0 @ xm @ szNzAzT0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(373,plain,
! [SV24: $i] :
( ( ( ~ ( aSubsetOf0 @ SV24 @ szNzAzT0 )
| ~ ( isFinite0 @ SV24 ) )
= $true )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK1_W1 @ SV24 ) @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SV24 @ ( slbdtrb0 @ ( sK1_W1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(374,plain,
( ( ~ ( ( xQ != slcrc0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(375,plain,
( ( ~ ( aSubsetOf0 @ xQ @ xO ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(376,plain,
( ( ~ ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(377,plain,
( ( ~ ( aElementOf0 @ xx @ xQ ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(378,plain,
! [SV25: $i] :
( ( ( ~ ( aElementOf0 @ SV25 @ szNzAzT0 ) )
= $true )
| ( ( ( SV25 = sz00 )
| ~ ( ( SV25
!= ( szszuzczcdt0 @ ( sK2_W1 @ SV25 ) ) )
| ~ ( aElementOf0 @ ( sK2_W1 @ SV25 ) @ szNzAzT0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(379,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ SX0 ) @ szNzAzT0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(380,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( isCountable0 @ ( sdtlpdtrp0 @ xN @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(381,plain,
( ( ( xP
!= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(382,plain,
( ( ~ ( aSet0 @ xP ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(383,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) )
| ( SX0 = SX1 )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(384,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ( SX0 != SX1 )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX0 @ ( slbdtrb0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(385,plain,
( ( ~ ( aSet0 @ szNzAzT0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(386,plain,
( ( ~ ( isCountable0 @ szNzAzT0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(387,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ ( slbdtrb0 @ SX0 ) @ ( slbdtrb0 @ SX1 ) )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[338]) ).
thf(388,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SX0 @ SX1 )
| ( aSubsetOf0 @ ( slbdtrb0 @ SX0 ) @ ( slbdtrb0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[338]) ).
thf(389,plain,
( ( ~ ( aElementOf0 @ xx @ szNzAzT0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(390,plain,
( ( ~ ( aElementOf0 @ xx @ xO ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(391,plain,
( ( ~ ( aSet0 @ xO ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(392,plain,
( ( ~ ( isCountable0 @ xO ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(393,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SX0 @ SX1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SX0 ) @ ( szszuzczcdt0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(394,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ SX0 ) @ ( szszuzczcdt0 @ SX1 ) )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(395,plain,
! [SV26: $i,SV1: $i] :
( ( ( ( SV1 = SV26 )
| ~ ( aElementOf0 @ SV1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV26 @ szNzAzT0 ) )
= $true )
| ( ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV26 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(396,plain,
! [SV2: $i] :
( ( ( aSet0 @ SV2 )
= $false )
| ( ( ! [SY55: $i] :
( ~ ( aElementOf0 @ SY55 @ SV2 )
| ( aElement0 @ SY55 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(397,plain,
! [SV27: $i,SV3: $i] :
( ( ( ~ ( aElementOf0 @ SV3 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV27 @ szNzAzT0 ) )
= $true )
| ( ( ( ( szszuzczcdt0 @ SV3 )
!= ( szszuzczcdt0 @ SV27 ) )
| ( SV3 = SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(398,plain,
! [SV4: $i] :
( ( ( aElementOf0 @ SV4 @ szNzAzT0 )
= $false )
| ( ( ( SV4
!= ( szszuzczcdt0 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(399,plain,
! [SV37: $i] :
( ( ( ~ ( aElementOf0 @ SV37 @ szNzAzT0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(400,plain,
! [SV5: $i] :
( ( ( aElementOf0 @ SV5 @ szNzAzT0 )
= $false )
| ( ( sdtlseqdt0 @ SV5 @ ( szszuzczcdt0 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(401,plain,
! [SV6: $i] :
( ( ( aElementOf0 @ SV6 @ szNzAzT0 )
= $false )
| ( ( sdtlseqdt0 @ SV6 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(402,plain,
! [SV28: $i,SV7: $i] :
( ( ( ~ ( aElementOf0 @ SV7 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV28 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV7 @ SV28 )
| ~ ( sdtlseqdt0 @ SV28 @ SV7 )
| ( SV7 = SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(403,plain,
! [SV38: $i,SV29: $i,SV8: $i] :
( ( ~ ( aElementOf0 @ SV8 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV29 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV38 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SV8 @ SV29 )
| ~ ( sdtlseqdt0 @ SV29 @ SV38 )
| ( sdtlseqdt0 @ SV8 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(404,plain,
! [SV30: $i,SV9: $i] :
( ( ( ~ ( aElementOf0 @ SV9 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV30 @ szNzAzT0 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV9 @ SV30 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV30 ) @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(405,plain,
! [SV39: $i] :
( ( ( ~ ( aElementOf0 @ SV39 @ szNzAzT0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(406,plain,
! [SV10: $i] :
( ( ( aElementOf0 @ SV10 @ szNzAzT0 )
= $false )
| ( ( iLess0 @ SV10 @ ( szszuzczcdt0 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(407,plain,
! [SV31: $i,SV11: $i] :
( ( ( ~ ( aElementOf0 @ SV11 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV31 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV31 @ SV11 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ SV11 ) @ ( sdtlpdtrp0 @ xN @ SV31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(408,plain,
! [SV32: $i] :
( ( ( aSet0 @ SV32 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(409,plain,
! [SV33: $i] :
( ( ( aSet0 @ SV33 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(410,plain,
! [SV14: $i] :
( ( ( ~ ( aSet0 @ SV14 ) )
= $true )
| ( ( ~ ( isFinite0 @ SV14 ) )
= $true )
| ( ( ! [SY62: $i] :
( ~ ( aSubsetOf0 @ SY62 @ SV14 )
| ( isFinite0 @ SY62 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(411,plain,
! [SV15: $i] :
( ( ( aSet0 @ SV15 )
= $false )
| ( ( aSubsetOf0 @ SV15 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(412,plain,
! [SV34: $i,SV16: $i] :
( ( ( ~ ( aSet0 @ SV16 )
| ~ ( aSet0 @ SV34 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV16 @ SV34 )
| ~ ( aSubsetOf0 @ SV34 @ SV16 )
| ( SV16 = SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(413,plain,
! [SV40: $i,SV35: $i,SV17: $i] :
( ( ~ ( aSet0 @ SV17 )
| ~ ( aSet0 @ SV35 )
| ~ ( aSet0 @ SV40 )
| ~ ( aSubsetOf0 @ SV17 @ SV35 )
| ~ ( aSubsetOf0 @ SV35 @ SV40 )
| ( aSubsetOf0 @ SV17 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(414,plain,
! [SV18: $i] :
( ( ( aElementOf0 @ SV18 @ szNzAzT0 )
= $false )
| ( ( sdtlseqdt0 @ sz00 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(415,plain,
! [SV19: $i] :
( ( ( aElementOf0 @ SV19 @ szNzAzT0 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV19 ) @ sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(416,plain,
! [SV20: $i] :
( ( ( aSet0 @ SV20 )
= $false )
| ( ( aElement0 @ ( sbrdtbr0 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(417,plain,
! [SV21: $i,SV36: $i] :
( ( ( ( SV36 = slcrc0 )
| ( SV21 = slcrc0 )
| ~ ( aSubsetOf0 @ SV21 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SV36 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV21 ) @ SV36 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV36 ) @ SV21 )
| ( ( szmzizndt0 @ SV21 )
= ( szmzizndt0 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(418,plain,
! [SV22: $i] :
( ( ( aElementOf0 @ SV22 @ szNzAzT0 )
= $false )
| ( ( isFinite0 @ ( slbdtrb0 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(419,plain,
! [SV23: $i] :
( ( ( aElementOf0 @ SV23 @ szNzAzT0 )
= $false )
| ( ( ( sbrdtbr0 @ ( slbdtrb0 @ SV23 ) )
= SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(420,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ SX0 )
!= sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(421,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( aElementOf0 @ ( szszuzczcdt0 @ SX0 ) @ szNzAzT0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(422,plain,
( ( ( szszuzczcdt0 @ xk )
= xK )
= $true ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(423,plain,
( ( aElementOf0 @ xk @ szNzAzT0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(424,plain,
( ( xx
= ( sdtlpdtrp0 @ xe @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(425,plain,
( ( aElementOf0 @ xm @ szNzAzT0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(426,plain,
! [SV24: $i] :
( ( ( ~ ( aSubsetOf0 @ SV24 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( isFinite0 @ SV24 ) )
= $true )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK1_W1 @ SV24 ) @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SV24 @ ( slbdtrb0 @ ( sK1_W1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(427,plain,
( ( ( xQ != slcrc0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(428,plain,
( ( aSubsetOf0 @ xQ @ xO )
= $true ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(429,plain,
( ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(430,plain,
( ( aElementOf0 @ xx @ xQ )
= $true ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(431,plain,
! [SV25: $i] :
( ( ( aElementOf0 @ SV25 @ szNzAzT0 )
= $false )
| ( ( ( SV25 = sz00 )
| ~ ( ( SV25
!= ( szszuzczcdt0 @ ( sK2_W1 @ SV25 ) ) )
| ~ ( aElementOf0 @ ( sK2_W1 @ SV25 ) @ szNzAzT0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(432,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ SX0 ) @ szNzAzT0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(433,plain,
( ( ! [SX0: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ( isCountable0 @ ( sdtlpdtrp0 @ xN @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(434,plain,
( ( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(435,plain,
( ( aSet0 @ xP )
= $true ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(436,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) )
| ( SX0 = SX1 )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(437,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ( SX0 != SX1 )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX0 @ ( slbdtrb0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(438,plain,
( ( aSet0 @ szNzAzT0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(439,plain,
( ( isCountable0 @ szNzAzT0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(440,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ ( slbdtrb0 @ SX0 ) @ ( slbdtrb0 @ SX1 ) )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(441,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SX0 @ SX1 )
| ( aSubsetOf0 @ ( slbdtrb0 @ SX0 ) @ ( slbdtrb0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(442,plain,
( ( aElementOf0 @ xx @ szNzAzT0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(443,plain,
( ( aElementOf0 @ xx @ xO )
= $true ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(444,plain,
( ( aSet0 @ xO )
= $true ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(445,plain,
( ( isCountable0 @ xO )
= $true ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(446,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SX0 @ SX1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SX0 ) @ ( szszuzczcdt0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[393]) ).
thf(447,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ SX0 ) @ ( szszuzczcdt0 @ SX1 ) )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(448,plain,
! [SV26: $i,SV1: $i] :
( ( ( SV1 = SV26 )
= $true )
| ( ( ~ ( aElementOf0 @ SV1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV26 @ szNzAzT0 ) )
= $true )
| ( ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV26 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(449,plain,
! [SV2: $i,SV41: $i] :
( ( ( ~ ( aElementOf0 @ SV41 @ SV2 )
| ( aElement0 @ SV41 ) )
= $true )
| ( ( aSet0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(450,plain,
! [SV27: $i,SV3: $i] :
( ( ( ~ ( aElementOf0 @ SV3 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV27 @ szNzAzT0 ) )
= $true )
| ( ( ( ( szszuzczcdt0 @ SV3 )
!= ( szszuzczcdt0 @ SV27 ) )
| ( SV3 = SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(451,plain,
! [SV4: $i] :
( ( ( SV4
= ( szszuzczcdt0 @ SV4 ) )
= $false )
| ( ( aElementOf0 @ SV4 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(452,plain,
! [SV37: $i] :
( ( ( aElementOf0 @ SV37 @ szNzAzT0 )
= $false )
| ( ( ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(453,plain,
! [SV28: $i,SV7: $i] :
( ( ( ~ ( aElementOf0 @ SV7 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV28 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV7 @ SV28 )
| ~ ( sdtlseqdt0 @ SV28 @ SV7 )
| ( SV7 = SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(454,plain,
! [SV38: $i,SV29: $i,SV8: $i] :
( ( ( ~ ( aElementOf0 @ SV8 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV29 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV38 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV8 @ SV29 )
| ~ ( sdtlseqdt0 @ SV29 @ SV38 )
| ( sdtlseqdt0 @ SV8 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(455,plain,
! [SV30: $i,SV9: $i] :
( ( ( ~ ( aElementOf0 @ SV9 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV30 @ szNzAzT0 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV9 @ SV30 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV30 ) @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(456,plain,
! [SV39: $i] :
( ( ( aElementOf0 @ SV39 @ szNzAzT0 )
= $false )
| ( ( ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(457,plain,
! [SV31: $i,SV11: $i] :
( ( ( ~ ( aElementOf0 @ SV11 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV31 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV31 @ SV11 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ SV11 ) @ ( sdtlpdtrp0 @ xN @ SV31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(458,plain,
! [SV14: $i] :
( ( ( aSet0 @ SV14 )
= $false )
| ( ( ~ ( isFinite0 @ SV14 ) )
= $true )
| ( ( ! [SY62: $i] :
( ~ ( aSubsetOf0 @ SY62 @ SV14 )
| ( isFinite0 @ SY62 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(459,plain,
! [SV34: $i,SV16: $i] :
( ( ( ~ ( aSet0 @ SV16 ) )
= $true )
| ( ( ~ ( aSet0 @ SV34 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV16 @ SV34 )
| ~ ( aSubsetOf0 @ SV34 @ SV16 )
| ( SV16 = SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(460,plain,
! [SV40: $i,SV35: $i,SV17: $i] :
( ( ( ~ ( aSet0 @ SV17 )
| ~ ( aSet0 @ SV35 )
| ~ ( aSet0 @ SV40 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV17 @ SV35 )
| ~ ( aSubsetOf0 @ SV35 @ SV40 )
| ( aSubsetOf0 @ SV17 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(461,plain,
! [SV19: $i] :
( ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV19 ) @ sz00 )
= $false )
| ( ( aElementOf0 @ SV19 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(462,plain,
! [SV21: $i,SV36: $i] :
( ( ( SV36 = slcrc0 )
= $true )
| ( ( ( SV21 = slcrc0 )
| ~ ( aSubsetOf0 @ SV21 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SV36 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV21 ) @ SV36 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV36 ) @ SV21 )
| ( ( szmzizndt0 @ SV21 )
= ( szmzizndt0 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(463,plain,
! [SV42: $i] :
( ( ~ ( aElementOf0 @ SV42 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ SV42 )
!= sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(464,plain,
! [SV43: $i] :
( ( ~ ( aElementOf0 @ SV43 @ szNzAzT0 )
| ( aElementOf0 @ ( szszuzczcdt0 @ SV43 ) @ szNzAzT0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(465,plain,
! [SV24: $i] :
( ( ( aSubsetOf0 @ SV24 @ szNzAzT0 )
= $false )
| ( ( ~ ( isFinite0 @ SV24 ) )
= $true )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK1_W1 @ SV24 ) @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SV24 @ ( slbdtrb0 @ ( sK1_W1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(466,plain,
( ( xQ = slcrc0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(467,plain,
! [SV25: $i] :
( ( ( SV25 = sz00 )
= $true )
| ( ( ~ ( ( SV25
!= ( szszuzczcdt0 @ ( sK2_W1 @ SV25 ) ) )
| ~ ( aElementOf0 @ ( sK2_W1 @ SV25 ) @ szNzAzT0 ) ) )
= $true )
| ( ( aElementOf0 @ SV25 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(468,plain,
! [SV44: $i] :
( ( ~ ( aElementOf0 @ SV44 @ szNzAzT0 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ SV44 ) @ szNzAzT0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(469,plain,
! [SV45: $i] :
( ( ~ ( aElementOf0 @ SV45 @ szNzAzT0 )
| ( isCountable0 @ ( sdtlpdtrp0 @ xN @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(470,plain,
! [SV46: $i] :
( ( ! [SY69: $i] :
( ~ ( aElementOf0 @ SV46 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY69 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV46 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SY69 ) ) )
| ( SV46 = SY69 )
| ( aElementOf0 @ SV46 @ ( slbdtrb0 @ SY69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(471,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ( SX0 != SX1 )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX0 @ ( slbdtrb0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(472,plain,
! [SV47: $i] :
( ( ! [SY70: $i] :
( ~ ( aElementOf0 @ SV47 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY70 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ ( slbdtrb0 @ SV47 ) @ ( slbdtrb0 @ SY70 ) )
| ( sdtlseqdt0 @ SV47 @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(473,plain,
! [SV48: $i] :
( ( ! [SY71: $i] :
( ~ ( aElementOf0 @ SV48 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY71 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SV48 @ SY71 )
| ( aSubsetOf0 @ ( slbdtrb0 @ SV48 ) @ ( slbdtrb0 @ SY71 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(474,plain,
! [SV49: $i] :
( ( ! [SY72: $i] :
( ~ ( aElementOf0 @ SV49 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY72 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SV49 @ SY72 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV49 ) @ ( szszuzczcdt0 @ SY72 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(475,plain,
! [SV50: $i] :
( ( ! [SY73: $i] :
( ~ ( aElementOf0 @ SV50 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY73 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV50 ) @ ( szszuzczcdt0 @ SY73 ) )
| ( sdtlseqdt0 @ SV50 @ SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(476,plain,
! [SV26: $i,SV1: $i] :
( ( ( ~ ( aElementOf0 @ SV1 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV26 @ szNzAzT0 ) )
= $true )
| ( ( SV1 = SV26 )
= $true )
| ( ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV26 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(477,plain,
! [SV2: $i,SV41: $i] :
( ( ( ~ ( aElementOf0 @ SV41 @ SV2 ) )
= $true )
| ( ( aElement0 @ SV41 )
= $true )
| ( ( aSet0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(478,plain,
! [SV27: $i,SV3: $i] :
( ( ( aElementOf0 @ SV3 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV27 @ szNzAzT0 ) )
= $true )
| ( ( ( ( szszuzczcdt0 @ SV3 )
!= ( szszuzczcdt0 @ SV27 ) )
| ( SV3 = SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(479,plain,
! [SV37: $i,SV51: $i] :
( ( ( ~ ( aElementOf0 @ SV51 @ szNzAzT0 ) )
= $true )
| ( ( aElementOf0 @ SV37 @ szNzAzT0 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(480,plain,
! [SV28: $i,SV7: $i] :
( ( ( aElementOf0 @ SV7 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV28 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV7 @ SV28 )
| ~ ( sdtlseqdt0 @ SV28 @ SV7 )
| ( SV7 = SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(481,plain,
! [SV38: $i,SV29: $i,SV8: $i] :
( ( ( ~ ( aElementOf0 @ SV8 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV29 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV38 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV8 @ SV29 )
| ~ ( sdtlseqdt0 @ SV29 @ SV38 )
| ( sdtlseqdt0 @ SV8 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(482,plain,
! [SV30: $i,SV9: $i] :
( ( ( aElementOf0 @ SV9 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV30 @ szNzAzT0 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV9 @ SV30 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV30 ) @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(483,plain,
! [SV39: $i,SV52: $i] :
( ( ( ~ ( aElementOf0 @ SV52 @ szNzAzT0 ) )
= $true )
| ( ( aElementOf0 @ SV39 @ szNzAzT0 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(484,plain,
! [SV31: $i,SV11: $i] :
( ( ( aElementOf0 @ SV11 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV31 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV31 @ SV11 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ SV11 ) @ ( sdtlpdtrp0 @ xN @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(485,plain,
! [SV14: $i] :
( ( ( isFinite0 @ SV14 )
= $false )
| ( ( aSet0 @ SV14 )
= $false )
| ( ( ! [SY62: $i] :
( ~ ( aSubsetOf0 @ SY62 @ SV14 )
| ( isFinite0 @ SY62 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(486,plain,
! [SV34: $i,SV16: $i] :
( ( ( aSet0 @ SV16 )
= $false )
| ( ( ~ ( aSet0 @ SV34 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV16 @ SV34 )
| ~ ( aSubsetOf0 @ SV34 @ SV16 )
| ( SV16 = SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(487,plain,
! [SV40: $i,SV35: $i,SV17: $i] :
( ( ( ~ ( aSet0 @ SV17 )
| ~ ( aSet0 @ SV35 ) )
= $true )
| ( ( ~ ( aSet0 @ SV40 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV17 @ SV35 )
| ~ ( aSubsetOf0 @ SV35 @ SV40 )
| ( aSubsetOf0 @ SV17 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(488,plain,
! [SV36: $i,SV21: $i] :
( ( ( SV21 = slcrc0 )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV21 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SV36 @ szNzAzT0 ) )
= $true )
| ( ( SV36 = slcrc0 )
= $true )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV21 ) @ SV36 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV36 ) @ SV21 )
| ( ( szmzizndt0 @ SV21 )
= ( szmzizndt0 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(489,plain,
! [SV42: $i] :
( ( ( ~ ( aElementOf0 @ SV42 @ szNzAzT0 ) )
= $true )
| ( ( ( ( szszuzczcdt0 @ SV42 )
!= sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(490,plain,
! [SV43: $i] :
( ( ( ~ ( aElementOf0 @ SV43 @ szNzAzT0 ) )
= $true )
| ( ( aElementOf0 @ ( szszuzczcdt0 @ SV43 ) @ szNzAzT0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(491,plain,
! [SV24: $i] :
( ( ( isFinite0 @ SV24 )
= $false )
| ( ( aSubsetOf0 @ SV24 @ szNzAzT0 )
= $false )
| ( ( ~ ( ~ ( aElementOf0 @ ( sK1_W1 @ SV24 ) @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SV24 @ ( slbdtrb0 @ ( sK1_W1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(492,plain,
! [SV25: $i] :
( ( ( ( SV25
!= ( szszuzczcdt0 @ ( sK2_W1 @ SV25 ) ) )
| ~ ( aElementOf0 @ ( sK2_W1 @ SV25 ) @ szNzAzT0 ) )
= $false )
| ( ( SV25 = sz00 )
= $true )
| ( ( aElementOf0 @ SV25 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(493,plain,
! [SV44: $i] :
( ( ( ~ ( aElementOf0 @ SV44 @ szNzAzT0 ) )
= $true )
| ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ SV44 ) @ szNzAzT0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(494,plain,
! [SV45: $i] :
( ( ( ~ ( aElementOf0 @ SV45 @ szNzAzT0 ) )
= $true )
| ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[469]) ).
thf(495,plain,
! [SV53: $i,SV46: $i] :
( ( ~ ( aElementOf0 @ SV46 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV53 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV46 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV53 ) ) )
| ( SV46 = SV53 )
| ( aElementOf0 @ SV46 @ ( slbdtrb0 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(496,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ( SX0 != SX1 )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(497,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX0 @ ( slbdtrb0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(498,plain,
! [SV54: $i,SV47: $i] :
( ( ~ ( aElementOf0 @ SV47 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV54 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ ( slbdtrb0 @ SV47 ) @ ( slbdtrb0 @ SV54 ) )
| ( sdtlseqdt0 @ SV47 @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(499,plain,
! [SV55: $i,SV48: $i] :
( ( ~ ( aElementOf0 @ SV48 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV55 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SV48 @ SV55 )
| ( aSubsetOf0 @ ( slbdtrb0 @ SV48 ) @ ( slbdtrb0 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(500,plain,
! [SV56: $i,SV49: $i] :
( ( ~ ( aElementOf0 @ SV49 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV56 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SV49 @ SV56 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV49 ) @ ( szszuzczcdt0 @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(501,plain,
! [SV57: $i,SV50: $i] :
( ( ~ ( aElementOf0 @ SV50 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV57 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV50 ) @ ( szszuzczcdt0 @ SV57 ) )
| ( sdtlseqdt0 @ SV50 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(502,plain,
! [SV26: $i,SV1: $i] :
( ( ( aElementOf0 @ SV1 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV26 @ szNzAzT0 ) )
= $true )
| ( ( SV1 = SV26 )
= $true )
| ( ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV26 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(503,plain,
! [SV2: $i,SV41: $i] :
( ( ( aElementOf0 @ SV41 @ SV2 )
= $false )
| ( ( aElement0 @ SV41 )
= $true )
| ( ( aSet0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(504,plain,
! [SV3: $i,SV27: $i] :
( ( ( aElementOf0 @ SV27 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV3 @ szNzAzT0 )
= $false )
| ( ( ( ( szszuzczcdt0 @ SV3 )
!= ( szszuzczcdt0 @ SV27 ) )
| ( SV3 = SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(505,plain,
! [SV37: $i,SV51: $i] :
( ( ( aElementOf0 @ SV51 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV37 @ szNzAzT0 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(506,plain,
! [SV7: $i,SV28: $i] :
( ( ( aElementOf0 @ SV28 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV7 @ szNzAzT0 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV7 @ SV28 )
| ~ ( sdtlseqdt0 @ SV28 @ SV7 )
| ( SV7 = SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(507,plain,
! [SV38: $i,SV29: $i,SV8: $i] :
( ( ( ~ ( aElementOf0 @ SV8 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV29 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV38 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV8 @ SV29 )
| ~ ( sdtlseqdt0 @ SV29 @ SV38 )
| ( sdtlseqdt0 @ SV8 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(508,plain,
! [SV9: $i,SV30: $i] :
( ( ( aElementOf0 @ SV30 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV9 @ szNzAzT0 )
= $false )
| ( ( ( sdtlseqdt0 @ SV9 @ SV30 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV30 ) @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(509,plain,
! [SV39: $i,SV52: $i] :
( ( ( aElementOf0 @ SV52 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV39 @ szNzAzT0 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(510,plain,
! [SV11: $i,SV31: $i] :
( ( ( aElementOf0 @ SV31 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV11 @ szNzAzT0 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV31 @ SV11 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ SV11 ) @ ( sdtlpdtrp0 @ xN @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(511,plain,
! [SV14: $i,SV58: $i] :
( ( ( ~ ( aSubsetOf0 @ SV58 @ SV14 )
| ( isFinite0 @ SV58 ) )
= $true )
| ( ( aSet0 @ SV14 )
= $false )
| ( ( isFinite0 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(512,plain,
! [SV16: $i,SV34: $i] :
( ( ( aSet0 @ SV34 )
= $false )
| ( ( aSet0 @ SV16 )
= $false )
| ( ( ~ ( aSubsetOf0 @ SV16 @ SV34 )
| ~ ( aSubsetOf0 @ SV34 @ SV16 )
| ( SV16 = SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(513,plain,
! [SV40: $i,SV35: $i,SV17: $i] :
( ( ( ~ ( aSet0 @ SV17 ) )
= $true )
| ( ( ~ ( aSet0 @ SV35 ) )
= $true )
| ( ( ~ ( aSet0 @ SV40 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV17 @ SV35 )
| ~ ( aSubsetOf0 @ SV35 @ SV40 )
| ( aSubsetOf0 @ SV17 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(514,plain,
! [SV36: $i,SV21: $i] :
( ( ( ~ ( aSubsetOf0 @ SV21 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV36 @ szNzAzT0 ) )
= $true )
| ( ( SV21 = slcrc0 )
= $true )
| ( ( SV36 = slcrc0 )
= $true )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV21 ) @ SV36 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV36 ) @ SV21 )
| ( ( szmzizndt0 @ SV21 )
= ( szmzizndt0 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(515,plain,
! [SV42: $i] :
( ( ( aElementOf0 @ SV42 @ szNzAzT0 )
= $false )
| ( ( ( ( szszuzczcdt0 @ SV42 )
!= sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(516,plain,
! [SV43: $i] :
( ( ( aElementOf0 @ SV43 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ ( szszuzczcdt0 @ SV43 ) @ szNzAzT0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(517,plain,
! [SV24: $i] :
( ( ( ~ ( aElementOf0 @ ( sK1_W1 @ SV24 ) @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SV24 @ ( slbdtrb0 @ ( sK1_W1 @ SV24 ) ) ) )
= $false )
| ( ( aSubsetOf0 @ SV24 @ szNzAzT0 )
= $false )
| ( ( isFinite0 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(518,plain,
! [SV25: $i] :
( ( ( ( SV25
!= ( szszuzczcdt0 @ ( sK2_W1 @ SV25 ) ) ) )
= $false )
| ( ( SV25 = sz00 )
= $true )
| ( ( aElementOf0 @ SV25 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(519,plain,
! [SV25: $i] :
( ( ( ~ ( aElementOf0 @ ( sK2_W1 @ SV25 ) @ szNzAzT0 ) )
= $false )
| ( ( SV25 = sz00 )
= $true )
| ( ( aElementOf0 @ SV25 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(520,plain,
! [SV44: $i] :
( ( ( aElementOf0 @ SV44 @ szNzAzT0 )
= $false )
| ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ SV44 ) @ szNzAzT0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(521,plain,
! [SV45: $i] :
( ( ( aElementOf0 @ SV45 @ szNzAzT0 )
= $false )
| ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(522,plain,
! [SV53: $i,SV46: $i] :
( ( ( ~ ( aElementOf0 @ SV46 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV53 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV46 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV53 ) ) )
| ( SV46 = SV53 )
| ( aElementOf0 @ SV46 @ ( slbdtrb0 @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(523,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ( SX0 != SX1 )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(524,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aElementOf0 @ SX0 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SX0 @ ( slbdtrb0 @ SX1 ) )
| ( aElementOf0 @ SX0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(525,plain,
! [SV54: $i,SV47: $i] :
( ( ( ~ ( aElementOf0 @ SV47 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV54 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ ( slbdtrb0 @ SV47 ) @ ( slbdtrb0 @ SV54 ) )
| ( sdtlseqdt0 @ SV47 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(526,plain,
! [SV55: $i,SV48: $i] :
( ( ( ~ ( aElementOf0 @ SV48 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV55 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV48 @ SV55 )
| ( aSubsetOf0 @ ( slbdtrb0 @ SV48 ) @ ( slbdtrb0 @ SV55 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(527,plain,
! [SV56: $i,SV49: $i] :
( ( ( ~ ( aElementOf0 @ SV49 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV56 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV49 @ SV56 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV49 ) @ ( szszuzczcdt0 @ SV56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(528,plain,
! [SV57: $i,SV50: $i] :
( ( ( ~ ( aElementOf0 @ SV50 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV57 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV50 ) @ ( szszuzczcdt0 @ SV57 ) )
| ( sdtlseqdt0 @ SV50 @ SV57 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(529,plain,
! [SV1: $i,SV26: $i] :
( ( ( aElementOf0 @ SV26 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV1 @ szNzAzT0 )
= $false )
| ( ( SV1 = SV26 )
= $true )
| ( ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV26 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(530,plain,
! [SV27: $i,SV3: $i] :
( ( ( ( ( szszuzczcdt0 @ SV3 )
!= ( szszuzczcdt0 @ SV27 ) ) )
= $true )
| ( ( SV3 = SV27 )
= $true )
| ( ( aElementOf0 @ SV3 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV27 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(531,plain,
! [SV28: $i,SV7: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV7 @ SV28 )
| ~ ( sdtlseqdt0 @ SV28 @ SV7 ) )
= $true )
| ( ( SV7 = SV28 )
= $true )
| ( ( aElementOf0 @ SV7 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV28 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(532,plain,
! [SV38: $i,SV29: $i,SV8: $i] :
( ( ( aElementOf0 @ SV8 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV29 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV38 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV8 @ SV29 )
| ~ ( sdtlseqdt0 @ SV29 @ SV38 )
| ( sdtlseqdt0 @ SV8 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(533,plain,
! [SV30: $i,SV9: $i] :
( ( ( sdtlseqdt0 @ SV9 @ SV30 )
= $true )
| ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV30 ) @ SV9 )
= $true )
| ( ( aElementOf0 @ SV9 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV30 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[508]) ).
thf(534,plain,
! [SV11: $i,SV31: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV31 @ SV11 ) )
= $true )
| ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ SV11 ) @ ( sdtlpdtrp0 @ xN @ SV31 ) )
= $true )
| ( ( aElementOf0 @ SV11 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV31 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[510]) ).
thf(535,plain,
! [SV14: $i,SV58: $i] :
( ( ( ~ ( aSubsetOf0 @ SV58 @ SV14 ) )
= $true )
| ( ( isFinite0 @ SV58 )
= $true )
| ( ( aSet0 @ SV14 )
= $false )
| ( ( isFinite0 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[511]) ).
thf(536,plain,
! [SV34: $i,SV16: $i] :
( ( ( ~ ( aSubsetOf0 @ SV16 @ SV34 )
| ~ ( aSubsetOf0 @ SV34 @ SV16 ) )
= $true )
| ( ( SV16 = SV34 )
= $true )
| ( ( aSet0 @ SV16 )
= $false )
| ( ( aSet0 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[512]) ).
thf(537,plain,
! [SV40: $i,SV35: $i,SV17: $i] :
( ( ( aSet0 @ SV17 )
= $false )
| ( ( ~ ( aSet0 @ SV35 ) )
= $true )
| ( ( ~ ( aSet0 @ SV40 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV17 @ SV35 )
| ~ ( aSubsetOf0 @ SV35 @ SV40 )
| ( aSubsetOf0 @ SV17 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(538,plain,
! [SV36: $i,SV21: $i] :
( ( ( aSubsetOf0 @ SV21 @ szNzAzT0 )
= $false )
| ( ( ~ ( aSubsetOf0 @ SV36 @ szNzAzT0 ) )
= $true )
| ( ( SV21 = slcrc0 )
= $true )
| ( ( SV36 = slcrc0 )
= $true )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV21 ) @ SV36 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV36 ) @ SV21 )
| ( ( szmzizndt0 @ SV21 )
= ( szmzizndt0 @ SV36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(539,plain,
! [SV42: $i] :
( ( ( ( szszuzczcdt0 @ SV42 )
= sz00 )
= $false )
| ( ( aElementOf0 @ SV42 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(540,plain,
! [SV24: $i] :
( ( ( ~ ( aElementOf0 @ ( sK1_W1 @ SV24 ) @ szNzAzT0 ) )
= $false )
| ( ( aSubsetOf0 @ SV24 @ szNzAzT0 )
= $false )
| ( ( isFinite0 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[517]) ).
thf(541,plain,
! [SV24: $i] :
( ( ( ~ ( aSubsetOf0 @ SV24 @ ( slbdtrb0 @ ( sK1_W1 @ SV24 ) ) ) )
= $false )
| ( ( aSubsetOf0 @ SV24 @ szNzAzT0 )
= $false )
| ( ( isFinite0 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[517]) ).
thf(542,plain,
! [SV25: $i] :
( ( ( SV25
= ( szszuzczcdt0 @ ( sK2_W1 @ SV25 ) ) )
= $true )
| ( ( SV25 = sz00 )
= $true )
| ( ( aElementOf0 @ SV25 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(543,plain,
! [SV25: $i] :
( ( ( aElementOf0 @ ( sK2_W1 @ SV25 ) @ szNzAzT0 )
= $true )
| ( ( SV25 = sz00 )
= $true )
| ( ( aElementOf0 @ SV25 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(544,plain,
! [SV53: $i,SV46: $i] :
( ( ( ~ ( aElementOf0 @ SV46 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV53 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV46 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV53 ) ) )
| ( SV46 = SV53 )
| ( aElementOf0 @ SV46 @ ( slbdtrb0 @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(545,plain,
! [SV59: $i] :
( ( ! [SY74: $i] :
( ~ ( aElementOf0 @ SV59 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY74 @ szNzAzT0 )
| ( SV59 != SY74 )
| ( aElementOf0 @ SV59 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SY74 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(546,plain,
! [SV60: $i] :
( ( ! [SY75: $i] :
( ~ ( aElementOf0 @ SV60 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY75 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV60 @ ( slbdtrb0 @ SY75 ) )
| ( aElementOf0 @ SV60 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SY75 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(547,plain,
! [SV54: $i,SV47: $i] :
( ( ( ~ ( aElementOf0 @ SV47 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV54 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ ( slbdtrb0 @ SV47 ) @ ( slbdtrb0 @ SV54 ) )
| ( sdtlseqdt0 @ SV47 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(548,plain,
! [SV55: $i,SV48: $i] :
( ( ( ~ ( aElementOf0 @ SV48 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV55 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV48 @ SV55 )
| ( aSubsetOf0 @ ( slbdtrb0 @ SV48 ) @ ( slbdtrb0 @ SV55 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(549,plain,
! [SV56: $i,SV49: $i] :
( ( ( ~ ( aElementOf0 @ SV49 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV56 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV49 @ SV56 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV49 ) @ ( szszuzczcdt0 @ SV56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[527]) ).
thf(550,plain,
! [SV57: $i,SV50: $i] :
( ( ( ~ ( aElementOf0 @ SV50 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV57 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV50 ) @ ( szszuzczcdt0 @ SV57 ) )
| ( sdtlseqdt0 @ SV50 @ SV57 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(551,plain,
! [SV26: $i,SV1: $i] :
( ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV26 ) ) )
= $false )
| ( ( SV1 = SV26 )
= $true )
| ( ( aElementOf0 @ SV1 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV26 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(552,plain,
! [SV27: $i,SV3: $i] :
( ( ( ( szszuzczcdt0 @ SV3 )
= ( szszuzczcdt0 @ SV27 ) )
= $false )
| ( ( SV3 = SV27 )
= $true )
| ( ( aElementOf0 @ SV3 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV27 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(553,plain,
! [SV28: $i,SV7: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV7 @ SV28 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV28 @ SV7 ) )
= $true )
| ( ( SV7 = SV28 )
= $true )
| ( ( aElementOf0 @ SV7 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV28 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(554,plain,
! [SV38: $i,SV8: $i,SV29: $i] :
( ( ( aElementOf0 @ SV29 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV8 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV38 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV8 @ SV29 )
| ~ ( sdtlseqdt0 @ SV29 @ SV38 )
| ( sdtlseqdt0 @ SV8 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(555,plain,
! [SV11: $i,SV31: $i] :
( ( ( sdtlseqdt0 @ SV31 @ SV11 )
= $false )
| ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ SV11 ) @ ( sdtlpdtrp0 @ xN @ SV31 ) )
= $true )
| ( ( aElementOf0 @ SV11 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV31 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(556,plain,
! [SV14: $i,SV58: $i] :
( ( ( aSubsetOf0 @ SV58 @ SV14 )
= $false )
| ( ( isFinite0 @ SV58 )
= $true )
| ( ( aSet0 @ SV14 )
= $false )
| ( ( isFinite0 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(557,plain,
! [SV34: $i,SV16: $i] :
( ( ( ~ ( aSubsetOf0 @ SV16 @ SV34 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV34 @ SV16 ) )
= $true )
| ( ( SV16 = SV34 )
= $true )
| ( ( aSet0 @ SV16 )
= $false )
| ( ( aSet0 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(558,plain,
! [SV40: $i,SV17: $i,SV35: $i] :
( ( ( aSet0 @ SV35 )
= $false )
| ( ( aSet0 @ SV17 )
= $false )
| ( ( ~ ( aSet0 @ SV40 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV17 @ SV35 )
| ~ ( aSubsetOf0 @ SV35 @ SV40 )
| ( aSubsetOf0 @ SV17 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(559,plain,
! [SV21: $i,SV36: $i] :
( ( ( aSubsetOf0 @ SV36 @ szNzAzT0 )
= $false )
| ( ( aSubsetOf0 @ SV21 @ szNzAzT0 )
= $false )
| ( ( SV21 = slcrc0 )
= $true )
| ( ( SV36 = slcrc0 )
= $true )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV21 ) @ SV36 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV36 ) @ SV21 )
| ( ( szmzizndt0 @ SV21 )
= ( szmzizndt0 @ SV36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(560,plain,
! [SV24: $i] :
( ( ( aElementOf0 @ ( sK1_W1 @ SV24 ) @ szNzAzT0 )
= $true )
| ( ( aSubsetOf0 @ SV24 @ szNzAzT0 )
= $false )
| ( ( isFinite0 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(561,plain,
! [SV24: $i] :
( ( ( aSubsetOf0 @ SV24 @ ( slbdtrb0 @ ( sK1_W1 @ SV24 ) ) )
= $true )
| ( ( aSubsetOf0 @ SV24 @ szNzAzT0 )
= $false )
| ( ( isFinite0 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(562,plain,
! [SV53: $i,SV46: $i] :
( ( ( aElementOf0 @ SV46 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV53 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV46 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV53 ) ) )
| ( SV46 = SV53 )
| ( aElementOf0 @ SV46 @ ( slbdtrb0 @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(563,plain,
! [SV61: $i,SV59: $i] :
( ( ~ ( aElementOf0 @ SV59 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV61 @ szNzAzT0 )
| ( SV59 != SV61 )
| ( aElementOf0 @ SV59 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(564,plain,
! [SV62: $i,SV60: $i] :
( ( ~ ( aElementOf0 @ SV60 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV62 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV60 @ ( slbdtrb0 @ SV62 ) )
| ( aElementOf0 @ SV60 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(565,plain,
! [SV54: $i,SV47: $i] :
( ( ( aElementOf0 @ SV47 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV54 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ ( slbdtrb0 @ SV47 ) @ ( slbdtrb0 @ SV54 ) )
| ( sdtlseqdt0 @ SV47 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(566,plain,
! [SV55: $i,SV48: $i] :
( ( ( aElementOf0 @ SV48 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV55 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV48 @ SV55 )
| ( aSubsetOf0 @ ( slbdtrb0 @ SV48 ) @ ( slbdtrb0 @ SV55 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(567,plain,
! [SV56: $i,SV49: $i] :
( ( ( aElementOf0 @ SV49 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV56 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV49 @ SV56 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV49 ) @ ( szszuzczcdt0 @ SV56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(568,plain,
! [SV57: $i,SV50: $i] :
( ( ( aElementOf0 @ SV50 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV57 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV50 ) @ ( szszuzczcdt0 @ SV57 ) )
| ( sdtlseqdt0 @ SV50 @ SV57 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(569,plain,
! [SV28: $i,SV7: $i] :
( ( ( sdtlseqdt0 @ SV7 @ SV28 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV28 @ SV7 ) )
= $true )
| ( ( SV7 = SV28 )
= $true )
| ( ( aElementOf0 @ SV7 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV28 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(570,plain,
! [SV29: $i,SV8: $i,SV38: $i] :
( ( ( aElementOf0 @ SV38 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV8 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV29 @ szNzAzT0 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV8 @ SV29 )
| ~ ( sdtlseqdt0 @ SV29 @ SV38 )
| ( sdtlseqdt0 @ SV8 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(571,plain,
! [SV34: $i,SV16: $i] :
( ( ( aSubsetOf0 @ SV16 @ SV34 )
= $false )
| ( ( ~ ( aSubsetOf0 @ SV34 @ SV16 ) )
= $true )
| ( ( SV16 = SV34 )
= $true )
| ( ( aSet0 @ SV16 )
= $false )
| ( ( aSet0 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(572,plain,
! [SV35: $i,SV17: $i,SV40: $i] :
( ( ( aSet0 @ SV40 )
= $false )
| ( ( aSet0 @ SV17 )
= $false )
| ( ( aSet0 @ SV35 )
= $false )
| ( ( ~ ( aSubsetOf0 @ SV17 @ SV35 )
| ~ ( aSubsetOf0 @ SV35 @ SV40 )
| ( aSubsetOf0 @ SV17 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(573,plain,
! [SV36: $i,SV21: $i] :
( ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV21 ) @ SV36 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV36 ) @ SV21 ) )
= $true )
| ( ( ( szmzizndt0 @ SV21 )
= ( szmzizndt0 @ SV36 ) )
= $true )
| ( ( SV36 = slcrc0 )
= $true )
| ( ( SV21 = slcrc0 )
= $true )
| ( ( aSubsetOf0 @ SV21 @ szNzAzT0 )
= $false )
| ( ( aSubsetOf0 @ SV36 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(574,plain,
! [SV46: $i,SV53: $i] :
( ( ( aElementOf0 @ SV53 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV46 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV46 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV53 ) ) )
| ( SV46 = SV53 )
| ( aElementOf0 @ SV46 @ ( slbdtrb0 @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(575,plain,
! [SV61: $i,SV59: $i] :
( ( ( ~ ( aElementOf0 @ SV59 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV61 @ szNzAzT0 ) )
= $true )
| ( ( ( SV59 != SV61 )
| ( aElementOf0 @ SV59 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[563]) ).
thf(576,plain,
! [SV62: $i,SV60: $i] :
( ( ( ~ ( aElementOf0 @ SV60 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV62 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV60 @ ( slbdtrb0 @ SV62 ) )
| ( aElementOf0 @ SV60 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV62 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[564]) ).
thf(577,plain,
! [SV47: $i,SV54: $i] :
( ( ( aElementOf0 @ SV54 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV47 @ szNzAzT0 )
= $false )
| ( ( ~ ( aSubsetOf0 @ ( slbdtrb0 @ SV47 ) @ ( slbdtrb0 @ SV54 ) )
| ( sdtlseqdt0 @ SV47 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(578,plain,
! [SV48: $i,SV55: $i] :
( ( ( aElementOf0 @ SV55 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV48 @ szNzAzT0 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV48 @ SV55 )
| ( aSubsetOf0 @ ( slbdtrb0 @ SV48 ) @ ( slbdtrb0 @ SV55 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(579,plain,
! [SV49: $i,SV56: $i] :
( ( ( aElementOf0 @ SV56 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV49 @ szNzAzT0 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV49 @ SV56 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV49 ) @ ( szszuzczcdt0 @ SV56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(580,plain,
! [SV50: $i,SV57: $i] :
( ( ( aElementOf0 @ SV57 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV50 @ szNzAzT0 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV50 ) @ ( szszuzczcdt0 @ SV57 ) )
| ( sdtlseqdt0 @ SV50 @ SV57 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(581,plain,
! [SV7: $i,SV28: $i] :
( ( ( sdtlseqdt0 @ SV28 @ SV7 )
= $false )
| ( ( sdtlseqdt0 @ SV7 @ SV28 )
= $false )
| ( ( SV7 = SV28 )
= $true )
| ( ( aElementOf0 @ SV7 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV28 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(582,plain,
! [SV38: $i,SV29: $i,SV8: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV8 @ SV29 )
| ~ ( sdtlseqdt0 @ SV29 @ SV38 ) )
= $true )
| ( ( sdtlseqdt0 @ SV8 @ SV38 )
= $true )
| ( ( aElementOf0 @ SV29 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV8 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV38 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(583,plain,
! [SV16: $i,SV34: $i] :
( ( ( aSubsetOf0 @ SV34 @ SV16 )
= $false )
| ( ( aSubsetOf0 @ SV16 @ SV34 )
= $false )
| ( ( SV16 = SV34 )
= $true )
| ( ( aSet0 @ SV16 )
= $false )
| ( ( aSet0 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(584,plain,
! [SV40: $i,SV35: $i,SV17: $i] :
( ( ( ~ ( aSubsetOf0 @ SV17 @ SV35 )
| ~ ( aSubsetOf0 @ SV35 @ SV40 ) )
= $true )
| ( ( aSubsetOf0 @ SV17 @ SV40 )
= $true )
| ( ( aSet0 @ SV35 )
= $false )
| ( ( aSet0 @ SV17 )
= $false )
| ( ( aSet0 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(585,plain,
! [SV36: $i,SV21: $i] :
( ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV21 ) @ SV36 ) )
= $true )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV36 ) @ SV21 ) )
= $true )
| ( ( ( szmzizndt0 @ SV21 )
= ( szmzizndt0 @ SV36 ) )
= $true )
| ( ( SV36 = slcrc0 )
= $true )
| ( ( SV21 = slcrc0 )
= $true )
| ( ( aSubsetOf0 @ SV21 @ szNzAzT0 )
= $false )
| ( ( aSubsetOf0 @ SV36 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[573]) ).
thf(586,plain,
! [SV53: $i,SV46: $i] :
( ( ( ~ ( aElementOf0 @ SV46 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV53 ) ) ) )
= $true )
| ( ( ( SV46 = SV53 )
| ( aElementOf0 @ SV46 @ ( slbdtrb0 @ SV53 ) ) )
= $true )
| ( ( aElementOf0 @ SV46 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV53 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[574]) ).
thf(587,plain,
! [SV61: $i,SV59: $i] :
( ( ( ~ ( aElementOf0 @ SV59 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV61 @ szNzAzT0 ) )
= $true )
| ( ( ( SV59 != SV61 )
| ( aElementOf0 @ SV59 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(588,plain,
! [SV62: $i,SV60: $i] :
( ( ( ~ ( aElementOf0 @ SV60 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV62 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV60 @ ( slbdtrb0 @ SV62 ) )
| ( aElementOf0 @ SV60 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV62 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(589,plain,
! [SV54: $i,SV47: $i] :
( ( ( ~ ( aSubsetOf0 @ ( slbdtrb0 @ SV47 ) @ ( slbdtrb0 @ SV54 ) ) )
= $true )
| ( ( sdtlseqdt0 @ SV47 @ SV54 )
= $true )
| ( ( aElementOf0 @ SV47 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV54 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(590,plain,
! [SV55: $i,SV48: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV48 @ SV55 ) )
= $true )
| ( ( aSubsetOf0 @ ( slbdtrb0 @ SV48 ) @ ( slbdtrb0 @ SV55 ) )
= $true )
| ( ( aElementOf0 @ SV48 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV55 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(591,plain,
! [SV56: $i,SV49: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV49 @ SV56 ) )
= $true )
| ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV49 ) @ ( szszuzczcdt0 @ SV56 ) )
= $true )
| ( ( aElementOf0 @ SV49 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV56 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(592,plain,
! [SV57: $i,SV50: $i] :
( ( ( ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV50 ) @ ( szszuzczcdt0 @ SV57 ) ) )
= $true )
| ( ( sdtlseqdt0 @ SV50 @ SV57 )
= $true )
| ( ( aElementOf0 @ SV50 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV57 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(593,plain,
! [SV38: $i,SV29: $i,SV8: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV8 @ SV29 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV29 @ SV38 ) )
= $true )
| ( ( sdtlseqdt0 @ SV8 @ SV38 )
= $true )
| ( ( aElementOf0 @ SV29 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV8 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV38 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(594,plain,
! [SV40: $i,SV35: $i,SV17: $i] :
( ( ( ~ ( aSubsetOf0 @ SV17 @ SV35 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV35 @ SV40 ) )
= $true )
| ( ( aSubsetOf0 @ SV17 @ SV40 )
= $true )
| ( ( aSet0 @ SV35 )
= $false )
| ( ( aSet0 @ SV17 )
= $false )
| ( ( aSet0 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(595,plain,
! [SV36: $i,SV21: $i] :
( ( ( aElementOf0 @ ( szmzizndt0 @ SV21 ) @ SV36 )
= $false )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV36 ) @ SV21 ) )
= $true )
| ( ( ( szmzizndt0 @ SV21 )
= ( szmzizndt0 @ SV36 ) )
= $true )
| ( ( SV36 = slcrc0 )
= $true )
| ( ( SV21 = slcrc0 )
= $true )
| ( ( aSubsetOf0 @ SV21 @ szNzAzT0 )
= $false )
| ( ( aSubsetOf0 @ SV36 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(596,plain,
! [SV53: $i,SV46: $i] :
( ( ( aElementOf0 @ SV46 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV53 ) ) )
= $false )
| ( ( ( SV46 = SV53 )
| ( aElementOf0 @ SV46 @ ( slbdtrb0 @ SV53 ) ) )
= $true )
| ( ( aElementOf0 @ SV46 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV53 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(597,plain,
! [SV61: $i,SV59: $i] :
( ( ( aElementOf0 @ SV59 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV61 @ szNzAzT0 ) )
= $true )
| ( ( ( SV59 != SV61 )
| ( aElementOf0 @ SV59 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(598,plain,
! [SV62: $i,SV60: $i] :
( ( ( aElementOf0 @ SV60 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV62 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV60 @ ( slbdtrb0 @ SV62 ) )
| ( aElementOf0 @ SV60 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV62 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(599,plain,
! [SV54: $i,SV47: $i] :
( ( ( aSubsetOf0 @ ( slbdtrb0 @ SV47 ) @ ( slbdtrb0 @ SV54 ) )
= $false )
| ( ( sdtlseqdt0 @ SV47 @ SV54 )
= $true )
| ( ( aElementOf0 @ SV47 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV54 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(600,plain,
! [SV55: $i,SV48: $i] :
( ( ( sdtlseqdt0 @ SV48 @ SV55 )
= $false )
| ( ( aSubsetOf0 @ ( slbdtrb0 @ SV48 ) @ ( slbdtrb0 @ SV55 ) )
= $true )
| ( ( aElementOf0 @ SV48 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV55 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(601,plain,
! [SV56: $i,SV49: $i] :
( ( ( sdtlseqdt0 @ SV49 @ SV56 )
= $false )
| ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV49 ) @ ( szszuzczcdt0 @ SV56 ) )
= $true )
| ( ( aElementOf0 @ SV49 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV56 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(602,plain,
! [SV57: $i,SV50: $i] :
( ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ SV50 ) @ ( szszuzczcdt0 @ SV57 ) )
= $false )
| ( ( sdtlseqdt0 @ SV50 @ SV57 )
= $true )
| ( ( aElementOf0 @ SV50 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV57 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(603,plain,
! [SV38: $i,SV29: $i,SV8: $i] :
( ( ( sdtlseqdt0 @ SV8 @ SV29 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV29 @ SV38 ) )
= $true )
| ( ( sdtlseqdt0 @ SV8 @ SV38 )
= $true )
| ( ( aElementOf0 @ SV29 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV8 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV38 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(604,plain,
! [SV40: $i,SV35: $i,SV17: $i] :
( ( ( aSubsetOf0 @ SV17 @ SV35 )
= $false )
| ( ( ~ ( aSubsetOf0 @ SV35 @ SV40 ) )
= $true )
| ( ( aSubsetOf0 @ SV17 @ SV40 )
= $true )
| ( ( aSet0 @ SV35 )
= $false )
| ( ( aSet0 @ SV17 )
= $false )
| ( ( aSet0 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(605,plain,
! [SV21: $i,SV36: $i] :
( ( ( aElementOf0 @ ( szmzizndt0 @ SV36 ) @ SV21 )
= $false )
| ( ( aElementOf0 @ ( szmzizndt0 @ SV21 ) @ SV36 )
= $false )
| ( ( ( szmzizndt0 @ SV21 )
= ( szmzizndt0 @ SV36 ) )
= $true )
| ( ( SV36 = slcrc0 )
= $true )
| ( ( SV21 = slcrc0 )
= $true )
| ( ( aSubsetOf0 @ SV21 @ szNzAzT0 )
= $false )
| ( ( aSubsetOf0 @ SV36 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(606,plain,
! [SV53: $i,SV46: $i] :
( ( ( SV46 = SV53 )
= $true )
| ( ( aElementOf0 @ SV46 @ ( slbdtrb0 @ SV53 ) )
= $true )
| ( ( aElementOf0 @ SV46 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV53 ) ) )
= $false )
| ( ( aElementOf0 @ SV46 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV53 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(607,plain,
! [SV59: $i,SV61: $i] :
( ( ( aElementOf0 @ SV61 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV59 @ szNzAzT0 )
= $false )
| ( ( ( SV59 != SV61 )
| ( aElementOf0 @ SV59 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(608,plain,
! [SV60: $i,SV62: $i] :
( ( ( aElementOf0 @ SV62 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV60 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV60 @ ( slbdtrb0 @ SV62 ) )
| ( aElementOf0 @ SV60 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV62 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(609,plain,
! [SV8: $i,SV38: $i,SV29: $i] :
( ( ( sdtlseqdt0 @ SV29 @ SV38 )
= $false )
| ( ( sdtlseqdt0 @ SV8 @ SV29 )
= $false )
| ( ( sdtlseqdt0 @ SV8 @ SV38 )
= $true )
| ( ( aElementOf0 @ SV29 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV8 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV38 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(610,plain,
! [SV17: $i,SV40: $i,SV35: $i] :
( ( ( aSubsetOf0 @ SV35 @ SV40 )
= $false )
| ( ( aSubsetOf0 @ SV17 @ SV35 )
= $false )
| ( ( aSubsetOf0 @ SV17 @ SV40 )
= $true )
| ( ( aSet0 @ SV35 )
= $false )
| ( ( aSet0 @ SV17 )
= $false )
| ( ( aSet0 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(611,plain,
! [SV61: $i,SV59: $i] :
( ( ( ( SV59 != SV61 ) )
= $true )
| ( ( aElementOf0 @ SV59 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV61 ) ) )
= $true )
| ( ( aElementOf0 @ SV59 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV61 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(612,plain,
! [SV62: $i,SV60: $i] :
( ( ( ~ ( aElementOf0 @ SV60 @ ( slbdtrb0 @ SV62 ) ) )
= $true )
| ( ( aElementOf0 @ SV60 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV62 ) ) )
= $true )
| ( ( aElementOf0 @ SV60 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV62 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(613,plain,
! [SV61: $i,SV59: $i] :
( ( ( SV59 = SV61 )
= $false )
| ( ( aElementOf0 @ SV59 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV61 ) ) )
= $true )
| ( ( aElementOf0 @ SV59 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV61 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(614,plain,
! [SV62: $i,SV60: $i] :
( ( ( aElementOf0 @ SV60 @ ( slbdtrb0 @ SV62 ) )
= $false )
| ( ( aElementOf0 @ SV60 @ ( slbdtrb0 @ ( szszuzczcdt0 @ SV62 ) ) )
= $true )
| ( ( aElementOf0 @ SV60 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV62 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(615,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[218,614,613,610,609,606,605,602,601,600,599,583,581,561,560,556,555,552,551,543,542,539,533,521,520,516,509,505,503,466,461,451,445,444,443,442,439,438,435,434,430,429,428,425,424,423,422,419,418,416,414,411,409,408,406,401,400,326,313,312,310,309,297,276,259,258,256,255,253,252,231,229,228,227,225,223,222,221,220]) ).
thf(616,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[615]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM626+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n008.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 : 600
% 0.13/0.34 % DateTime : Thu Jul 7 18:52:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.40 ..
% 0.19/0.43
% 0.19/0.43 No.of.Axioms: 110
% 0.19/0.43
% 0.19/0.43 Length.of.Defs: 0
% 0.19/0.43
% 0.19/0.43 Contains.Choice.Funs: false
% 0.19/0.47 .....
% 0.19/0.49 (rf:2,axioms:62,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:112,loop_count:0,foatp_calls:0,translation:fof_full)......................
% 0.42/0.60
% 0.42/0.60 ********************************
% 0.42/0.60 * All subproblems solved! *
% 0.42/0.60 ********************************
% 0.42/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:62,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:615,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.47/0.69
% 0.47/0.69 %**** Beginning of derivation protocol ****
% 0.47/0.69 % SZS output start CNFRefutation
% See solution above
% 0.47/0.69
% 0.47/0.69 %**** End of derivation protocol ****
% 0.47/0.69 %**** no. of clauses in derivation: 568 ****
% 0.47/0.69 %**** clause counter: 615 ****
% 0.47/0.69
% 0.47/0.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:62,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:615,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------