TSTP Solution File: NUM632+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM632+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 : n026.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 11:53:24 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 64
% Syntax : Number of formulae : 225 ( 96 unt; 40 typ; 0 def)
% Number of atoms : 1441 ( 517 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 2024 ( 317 ~; 438 |; 38 &;1191 @)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 43 ( 40 usr; 19 con; 0-2 aty)
% Number of variables : 300 ( 0 ^ 300 !; 0 ?; 300 :)
% 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_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_xn,type,
xn: $i ).
thf(tp_xp,type,
xp: $i ).
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(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(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(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(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(42,axiom,
aElementOf0 @ sz00 @ szNzAzT0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
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(62,axiom,
( ( sdtlpdtrp0 @ xc @ xQ )
= ( sdtlpdtrp0 @ xd @ xn ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5568) ).
thf(64,axiom,
( ( sdtlpdtrp0 @ xd @ xn )
= ( szDzizrdt0 @ xd ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5321) ).
thf(68,axiom,
aSubsetOf0 @ xP @ xO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5208) ).
thf(69,axiom,
aSubsetOf0 @ xP @ xQ,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5195) ).
thf(70,axiom,
aElementOf0 @ xp @ xO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5182) ).
thf(71,axiom,
aElementOf0 @ xp @ xQ,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5173) ).
thf(73,axiom,
( xp
= ( szmzizndt0 @ xQ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
thf(74,axiom,
aElementOf0 @ xQ @ ( szDzozmdt0 @ xc ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5116) ).
thf(75,axiom,
aSubsetOf0 @ xQ @ szNzAzT0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
thf(92,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(102,axiom,
aElementOf0 @ xK @ szNzAzT0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
thf(104,conjecture,
( ( sdtlpdtrp0 @ xc @ xQ )
= ( szDzizrdt0 @ xd ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
thf(105,negated_conjecture,
( ( ( sdtlpdtrp0 @ xc @ xQ )
= ( szDzizrdt0 @ xd ) )
= $false ),
inference(negate_conjecture,[status(cth)],[104]) ).
thf(106,plain,
( ( ( sdtlpdtrp0 @ xc @ xQ )
= ( szDzizrdt0 @ xd ) )
= $false ),
inference(unfold_def,[status(thm)],[105]) ).
thf(107,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(108,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( iLess0 @ W0 @ W1 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(109,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(110,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(111,plain,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(112,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(113,plain,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( W0
!= ( szszuzczcdt0 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(114,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(115,plain,
( ( aElementOf0 @ sz00 @ szNzAzT0 )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(116,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(117,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(118,plain,
( ( ! [W0: $i] :
( ( aSet0 @ W0 )
=> ( aSubsetOf0 @ W0 @ W0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(119,plain,
( ( aSubsetOf0 @ xP @ xO )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(120,plain,
( ( aElementOf0 @ xp @ xO )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(121,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)],[92]) ).
thf(122,plain,
( ( aElementOf0 @ xK @ szNzAzT0 )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(123,plain,
( ( ( sdtlpdtrp0 @ xc @ xQ )
= ( sdtlpdtrp0 @ xd @ xn ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(124,plain,
( ( ( sdtlpdtrp0 @ xd @ xn )
= ( szDzizrdt0 @ xd ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(125,plain,
( ( aSubsetOf0 @ xP @ xQ )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(126,plain,
( ( aElementOf0 @ xp @ xQ )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(127,plain,
( ( xp
= ( szmzizndt0 @ xQ ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(128,plain,
( ( aElementOf0 @ xQ @ ( szDzozmdt0 @ xc ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(129,plain,
( ( aSubsetOf0 @ xQ @ szNzAzT0 )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(130,plain,
( ( ( ( sdtlpdtrp0 @ xc @ xQ )
!= ( szDzizrdt0 @ xd ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[106]) ).
thf(131,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)],[107]) ).
thf(132,plain,
( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 )
| $true )
= $true ),
inference(extcnf_combined,[status(esa)],[108]) ).
thf(133,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)],[109]) ).
thf(134,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)],[110]) ).
thf(135,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[111]) ).
thf(136,plain,
( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 )
| $true )
= $true ),
inference(extcnf_combined,[status(esa)],[112]) ).
thf(137,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( W0
!= ( szszuzczcdt0 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[113]) ).
thf(138,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ W0 )
!= ( szszuzczcdt0 @ W1 ) )
| ( W0 = W1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[114]) ).
thf(139,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)],[116]) ).
thf(140,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aSet0 @ W0 )
| ~ ( aSet0 @ W1 )
| ~ ( aSubsetOf0 @ W0 @ W1 )
| ~ ( aSubsetOf0 @ W1 @ W0 )
| ( W0 = W1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[117]) ).
thf(141,plain,
( ( ! [W0: $i] :
( ~ ( aSet0 @ W0 )
| ( aSubsetOf0 @ W0 @ W0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[118]) ).
thf(142,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)],[121]) ).
thf(143,plain,
( ( aSubsetOf0 @ xQ @ szNzAzT0 )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(144,plain,
( ( aElementOf0 @ xQ @ ( szDzozmdt0 @ xc ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(145,plain,
( ( xp
= ( szmzizndt0 @ xQ ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(146,plain,
( ( aElementOf0 @ xp @ xQ )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(147,plain,
( ( aSubsetOf0 @ xP @ xQ )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(148,plain,
( ( ( sdtlpdtrp0 @ xd @ xn )
= ( szDzizrdt0 @ xd ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(149,plain,
( ( ( sdtlpdtrp0 @ xc @ xQ )
= ( sdtlpdtrp0 @ xd @ xn ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(150,plain,
( ( aElementOf0 @ xK @ szNzAzT0 )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(151,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)],[142]) ).
thf(152,plain,
( ( aElementOf0 @ xp @ xO )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(153,plain,
( ( aSubsetOf0 @ xP @ xO )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(154,plain,
( ( ! [W0: $i] :
( ~ ( aSet0 @ W0 )
| ( aSubsetOf0 @ W0 @ W0 ) ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(155,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aSet0 @ W0 )
| ~ ( aSet0 @ W1 )
| ~ ( aSubsetOf0 @ W0 @ W1 )
| ~ ( aSubsetOf0 @ W1 @ W0 )
| ( W0 = W1 ) ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(156,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)],[139]) ).
thf(157,plain,
( ( aElementOf0 @ sz00 @ szNzAzT0 )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(158,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ W0 )
!= ( szszuzczcdt0 @ W1 ) )
| ( W0 = W1 ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(159,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( W0
!= ( szszuzczcdt0 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(160,plain,
( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 )
| $true )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(161,plain,
( ( ! [W0: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(162,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ~ ( aElementOf0 @ W1 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W0 )
| ( W0 = W1 ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(163,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)],[133]) ).
thf(164,plain,
( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 )
| $true )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(165,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)],[131]) ).
thf(166,plain,
( ( ( ( sdtlpdtrp0 @ xc @ xQ )
!= ( szDzizrdt0 @ xd ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(167,plain,
! [SV1: $i] :
( ( ! [SY23: $i] :
( ( SV1 = SY23 )
| ~ ( aElementOf0 @ SV1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY23 @ szNzAzT0 )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SY23 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(168,plain,
! [SV2: $i] :
( ( ~ ( aSet0 @ SV2 )
| ( aSubsetOf0 @ SV2 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(169,plain,
! [SV3: $i] :
( ( ! [SY24: $i] :
( ~ ( aSet0 @ SV3 )
| ~ ( aSet0 @ SY24 )
| ~ ( aSubsetOf0 @ SV3 @ SY24 )
| ~ ( aSubsetOf0 @ SY24 @ SV3 )
| ( SV3 = SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(170,plain,
! [SV4: $i] :
( ( ! [SY25: $i,SY26: $i] :
( ~ ( aSet0 @ SV4 )
| ~ ( aSet0 @ SY25 )
| ~ ( aSet0 @ SY26 )
| ~ ( aSubsetOf0 @ SV4 @ SY25 )
| ~ ( aSubsetOf0 @ SY25 @ SY26 )
| ( aSubsetOf0 @ SV4 @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(171,plain,
! [SV5: $i] :
( ( ! [SY27: $i] :
( ~ ( aElementOf0 @ SV5 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY27 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ SV5 )
!= ( szszuzczcdt0 @ SY27 ) )
| ( SV5 = SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(172,plain,
! [SV6: $i] :
( ( ~ ( aElementOf0 @ SV6 @ szNzAzT0 )
| ( SV6
!= ( szszuzczcdt0 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(173,plain,
( ( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(174,plain,
! [SV7: $i] :
( ( ~ ( aElementOf0 @ SV7 @ szNzAzT0 )
| ( sdtlseqdt0 @ SV7 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(175,plain,
! [SV8: $i] :
( ( ! [SY28: $i] :
( ~ ( aElementOf0 @ SV8 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY28 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SV8 @ SY28 )
| ~ ( sdtlseqdt0 @ SY28 @ SV8 )
| ( SV8 = SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(176,plain,
! [SV9: $i] :
( ( ! [SY29: $i,SY30: $i] :
( ~ ( aElementOf0 @ SV9 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY29 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY30 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SV9 @ SY29 )
| ~ ( sdtlseqdt0 @ SY29 @ SY30 )
| ( sdtlseqdt0 @ SV9 @ SY30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(177,plain,
( ( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 )
| ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(178,plain,
! [SV10: $i] :
( ( ! [SY31: $i] :
( ( SY31 = slcrc0 )
| ( SV10 = slcrc0 )
| ~ ( aSubsetOf0 @ SV10 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SY31 @ szNzAzT0 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV10 ) @ SY31 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SY31 ) @ SV10 )
| ( ( szmzizndt0 @ SV10 )
= ( szmzizndt0 @ SY31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(179,plain,
( ( ( sdtlpdtrp0 @ xc @ xQ )
= ( szDzizrdt0 @ xd ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(180,plain,
! [SV11: $i,SV1: $i] :
( ( ( SV1 = SV11 )
| ~ ( aElementOf0 @ SV1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV11 @ szNzAzT0 )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(181,plain,
! [SV2: $i] :
( ( ( ~ ( aSet0 @ SV2 ) )
= $true )
| ( ( aSubsetOf0 @ SV2 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(182,plain,
! [SV12: $i,SV3: $i] :
( ( ~ ( aSet0 @ SV3 )
| ~ ( aSet0 @ SV12 )
| ~ ( aSubsetOf0 @ SV3 @ SV12 )
| ~ ( aSubsetOf0 @ SV12 @ SV3 )
| ( SV3 = SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(183,plain,
! [SV13: $i,SV4: $i] :
( ( ! [SY32: $i] :
( ~ ( aSet0 @ SV4 )
| ~ ( aSet0 @ SV13 )
| ~ ( aSet0 @ SY32 )
| ~ ( aSubsetOf0 @ SV4 @ SV13 )
| ~ ( aSubsetOf0 @ SV13 @ SY32 )
| ( aSubsetOf0 @ SV4 @ SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(184,plain,
! [SV14: $i,SV5: $i] :
( ( ~ ( aElementOf0 @ SV5 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV14 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ SV5 )
!= ( szszuzczcdt0 @ SV14 ) )
| ( SV5 = SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(185,plain,
! [SV6: $i] :
( ( ( ~ ( aElementOf0 @ SV6 @ szNzAzT0 ) )
= $true )
| ( ( ( SV6
!= ( szszuzczcdt0 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(186,plain,
( ( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(187,plain,
! [SV7: $i] :
( ( ( ~ ( aElementOf0 @ SV7 @ szNzAzT0 ) )
= $true )
| ( ( sdtlseqdt0 @ SV7 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(188,plain,
! [SV15: $i,SV8: $i] :
( ( ~ ( aElementOf0 @ SV8 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV15 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SV8 @ SV15 )
| ~ ( sdtlseqdt0 @ SV15 @ SV8 )
| ( SV8 = SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(189,plain,
! [SV16: $i,SV9: $i] :
( ( ! [SY33: $i] :
( ~ ( aElementOf0 @ SV9 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV16 @ szNzAzT0 )
| ~ ( aElementOf0 @ SY33 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SV9 @ SV16 )
| ~ ( sdtlseqdt0 @ SV16 @ SY33 )
| ( sdtlseqdt0 @ SV9 @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(190,plain,
( ( ( ! [W0: $i] :
~ ( aElementOf0 @ W0 @ szNzAzT0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(191,plain,
! [SV10: $i,SV17: $i] :
( ( ( SV17 = slcrc0 )
| ( SV10 = slcrc0 )
| ~ ( aSubsetOf0 @ SV10 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SV17 @ szNzAzT0 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV10 ) @ SV17 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV17 ) @ SV10 )
| ( ( szmzizndt0 @ SV10 )
= ( szmzizndt0 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(192,plain,
! [SV11: $i,SV1: $i] :
( ( ( ( SV1 = SV11 )
| ~ ( aElementOf0 @ SV1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV11 @ szNzAzT0 ) )
= $true )
| ( ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(193,plain,
! [SV2: $i] :
( ( ( aSet0 @ SV2 )
= $false )
| ( ( aSubsetOf0 @ SV2 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(194,plain,
! [SV12: $i,SV3: $i] :
( ( ( ~ ( aSet0 @ SV3 )
| ~ ( aSet0 @ SV12 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV3 @ SV12 )
| ~ ( aSubsetOf0 @ SV12 @ SV3 )
| ( SV3 = SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(195,plain,
! [SV18: $i,SV13: $i,SV4: $i] :
( ( ~ ( aSet0 @ SV4 )
| ~ ( aSet0 @ SV13 )
| ~ ( aSet0 @ SV18 )
| ~ ( aSubsetOf0 @ SV4 @ SV13 )
| ~ ( aSubsetOf0 @ SV13 @ SV18 )
| ( aSubsetOf0 @ SV4 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(196,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( aElementOf0 @ SV5 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV14 @ szNzAzT0 ) )
= $true )
| ( ( ( ( szszuzczcdt0 @ SV5 )
!= ( szszuzczcdt0 @ SV14 ) )
| ( SV5 = SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(197,plain,
! [SV6: $i] :
( ( ( aElementOf0 @ SV6 @ szNzAzT0 )
= $false )
| ( ( ( SV6
!= ( szszuzczcdt0 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(198,plain,
! [SV19: $i] :
( ( ( ~ ( aElementOf0 @ SV19 @ szNzAzT0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(199,plain,
! [SV7: $i] :
( ( ( aElementOf0 @ SV7 @ szNzAzT0 )
= $false )
| ( ( sdtlseqdt0 @ SV7 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(200,plain,
! [SV15: $i,SV8: $i] :
( ( ( ~ ( aElementOf0 @ SV8 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV15 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV8 @ SV15 )
| ~ ( sdtlseqdt0 @ SV15 @ SV8 )
| ( SV8 = SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(201,plain,
! [SV20: $i,SV16: $i,SV9: $i] :
( ( ~ ( aElementOf0 @ SV9 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV16 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV20 @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ SV9 @ SV16 )
| ~ ( sdtlseqdt0 @ SV16 @ SV20 )
| ( sdtlseqdt0 @ SV9 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(202,plain,
! [SV21: $i] :
( ( ( ~ ( aElementOf0 @ SV21 @ szNzAzT0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(203,plain,
! [SV10: $i,SV17: $i] :
( ( ( ( SV17 = slcrc0 )
| ( SV10 = slcrc0 )
| ~ ( aSubsetOf0 @ SV10 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SV17 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV10 ) @ SV17 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV17 ) @ SV10 )
| ( ( szmzizndt0 @ SV10 )
= ( szmzizndt0 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(204,plain,
! [SV11: $i,SV1: $i] :
( ( ( SV1 = SV11 )
= $true )
| ( ( ~ ( aElementOf0 @ SV1 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV11 @ szNzAzT0 ) )
= $true )
| ( ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(205,plain,
! [SV12: $i,SV3: $i] :
( ( ( ~ ( aSet0 @ SV3 ) )
= $true )
| ( ( ~ ( aSet0 @ SV12 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV3 @ SV12 )
| ~ ( aSubsetOf0 @ SV12 @ SV3 )
| ( SV3 = SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(206,plain,
! [SV18: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( aSet0 @ SV4 )
| ~ ( aSet0 @ SV13 )
| ~ ( aSet0 @ SV18 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV4 @ SV13 )
| ~ ( aSubsetOf0 @ SV13 @ SV18 )
| ( aSubsetOf0 @ SV4 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(207,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( aElementOf0 @ SV5 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV14 @ szNzAzT0 ) )
= $true )
| ( ( ( ( szszuzczcdt0 @ SV5 )
!= ( szszuzczcdt0 @ SV14 ) )
| ( SV5 = SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(208,plain,
! [SV6: $i] :
( ( ( SV6
= ( szszuzczcdt0 @ SV6 ) )
= $false )
| ( ( aElementOf0 @ SV6 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(209,plain,
! [SV19: $i] :
( ( ( aElementOf0 @ SV19 @ szNzAzT0 )
= $false )
| ( ( ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(210,plain,
! [SV15: $i,SV8: $i] :
( ( ( ~ ( aElementOf0 @ SV8 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV15 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV8 @ SV15 )
| ~ ( sdtlseqdt0 @ SV15 @ SV8 )
| ( SV8 = SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(211,plain,
! [SV20: $i,SV16: $i,SV9: $i] :
( ( ( ~ ( aElementOf0 @ SV9 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV16 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV20 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV9 @ SV16 )
| ~ ( sdtlseqdt0 @ SV16 @ SV20 )
| ( sdtlseqdt0 @ SV9 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(212,plain,
! [SV21: $i] :
( ( ( aElementOf0 @ SV21 @ szNzAzT0 )
= $false )
| ( ( ! [W1: $i] :
~ ( aElementOf0 @ W1 @ szNzAzT0 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(213,plain,
! [SV10: $i,SV17: $i] :
( ( ( SV17 = slcrc0 )
= $true )
| ( ( ( SV10 = slcrc0 )
| ~ ( aSubsetOf0 @ SV10 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SV17 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV10 ) @ SV17 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV17 ) @ SV10 )
| ( ( szmzizndt0 @ SV10 )
= ( szmzizndt0 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(214,plain,
! [SV11: $i,SV1: $i] :
( ( ( ~ ( aElementOf0 @ SV1 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV11 @ szNzAzT0 ) )
= $true )
| ( ( SV1 = SV11 )
= $true )
| ( ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(215,plain,
! [SV12: $i,SV3: $i] :
( ( ( aSet0 @ SV3 )
= $false )
| ( ( ~ ( aSet0 @ SV12 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV3 @ SV12 )
| ~ ( aSubsetOf0 @ SV12 @ SV3 )
| ( SV3 = SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(216,plain,
! [SV18: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( aSet0 @ SV4 )
| ~ ( aSet0 @ SV13 ) )
= $true )
| ( ( ~ ( aSet0 @ SV18 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV4 @ SV13 )
| ~ ( aSubsetOf0 @ SV13 @ SV18 )
| ( aSubsetOf0 @ SV4 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(217,plain,
! [SV14: $i,SV5: $i] :
( ( ( aElementOf0 @ SV5 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV14 @ szNzAzT0 ) )
= $true )
| ( ( ( ( szszuzczcdt0 @ SV5 )
!= ( szszuzczcdt0 @ SV14 ) )
| ( SV5 = SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(218,plain,
! [SV19: $i,SV22: $i] :
( ( ( ~ ( aElementOf0 @ SV22 @ szNzAzT0 ) )
= $true )
| ( ( aElementOf0 @ SV19 @ szNzAzT0 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(219,plain,
! [SV15: $i,SV8: $i] :
( ( ( aElementOf0 @ SV8 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV15 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV8 @ SV15 )
| ~ ( sdtlseqdt0 @ SV15 @ SV8 )
| ( SV8 = SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(220,plain,
! [SV20: $i,SV16: $i,SV9: $i] :
( ( ( ~ ( aElementOf0 @ SV9 @ szNzAzT0 )
| ~ ( aElementOf0 @ SV16 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV20 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV9 @ SV16 )
| ~ ( sdtlseqdt0 @ SV16 @ SV20 )
| ( sdtlseqdt0 @ SV9 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(221,plain,
! [SV21: $i,SV23: $i] :
( ( ( ~ ( aElementOf0 @ SV23 @ szNzAzT0 ) )
= $true )
| ( ( aElementOf0 @ SV21 @ szNzAzT0 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(222,plain,
! [SV17: $i,SV10: $i] :
( ( ( SV10 = slcrc0 )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV10 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ SV17 @ szNzAzT0 ) )
= $true )
| ( ( SV17 = slcrc0 )
= $true )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV10 ) @ SV17 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV17 ) @ SV10 )
| ( ( szmzizndt0 @ SV10 )
= ( szmzizndt0 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(223,plain,
! [SV11: $i,SV1: $i] :
( ( ( aElementOf0 @ SV1 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV11 @ szNzAzT0 ) )
= $true )
| ( ( SV1 = SV11 )
= $true )
| ( ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(224,plain,
! [SV3: $i,SV12: $i] :
( ( ( aSet0 @ SV12 )
= $false )
| ( ( aSet0 @ SV3 )
= $false )
| ( ( ~ ( aSubsetOf0 @ SV3 @ SV12 )
| ~ ( aSubsetOf0 @ SV12 @ SV3 )
| ( SV3 = SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(225,plain,
! [SV18: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( aSet0 @ SV4 ) )
= $true )
| ( ( ~ ( aSet0 @ SV13 ) )
= $true )
| ( ( ~ ( aSet0 @ SV18 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV4 @ SV13 )
| ~ ( aSubsetOf0 @ SV13 @ SV18 )
| ( aSubsetOf0 @ SV4 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(226,plain,
! [SV5: $i,SV14: $i] :
( ( ( aElementOf0 @ SV14 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV5 @ szNzAzT0 )
= $false )
| ( ( ( ( szszuzczcdt0 @ SV5 )
!= ( szszuzczcdt0 @ SV14 ) )
| ( SV5 = SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(227,plain,
! [SV19: $i,SV22: $i] :
( ( ( aElementOf0 @ SV22 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV19 @ szNzAzT0 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(228,plain,
! [SV8: $i,SV15: $i] :
( ( ( aElementOf0 @ SV15 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV8 @ szNzAzT0 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV8 @ SV15 )
| ~ ( sdtlseqdt0 @ SV15 @ SV8 )
| ( SV8 = SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(229,plain,
! [SV20: $i,SV16: $i,SV9: $i] :
( ( ( ~ ( aElementOf0 @ SV9 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV16 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV20 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV9 @ SV16 )
| ~ ( sdtlseqdt0 @ SV16 @ SV20 )
| ( sdtlseqdt0 @ SV9 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(230,plain,
! [SV21: $i,SV23: $i] :
( ( ( aElementOf0 @ SV23 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV21 @ szNzAzT0 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(231,plain,
! [SV17: $i,SV10: $i] :
( ( ( ~ ( aSubsetOf0 @ SV10 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV17 @ szNzAzT0 ) )
= $true )
| ( ( SV10 = slcrc0 )
= $true )
| ( ( SV17 = slcrc0 )
= $true )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV10 ) @ SV17 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV17 ) @ SV10 )
| ( ( szmzizndt0 @ SV10 )
= ( szmzizndt0 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(232,plain,
! [SV1: $i,SV11: $i] :
( ( ( aElementOf0 @ SV11 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV1 @ szNzAzT0 )
= $false )
| ( ( SV1 = SV11 )
= $true )
| ( ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(233,plain,
! [SV12: $i,SV3: $i] :
( ( ( ~ ( aSubsetOf0 @ SV3 @ SV12 )
| ~ ( aSubsetOf0 @ SV12 @ SV3 ) )
= $true )
| ( ( SV3 = SV12 )
= $true )
| ( ( aSet0 @ SV3 )
= $false )
| ( ( aSet0 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(234,plain,
! [SV18: $i,SV13: $i,SV4: $i] :
( ( ( aSet0 @ SV4 )
= $false )
| ( ( ~ ( aSet0 @ SV13 ) )
= $true )
| ( ( ~ ( aSet0 @ SV18 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV4 @ SV13 )
| ~ ( aSubsetOf0 @ SV13 @ SV18 )
| ( aSubsetOf0 @ SV4 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(235,plain,
! [SV14: $i,SV5: $i] :
( ( ( ( ( szszuzczcdt0 @ SV5 )
!= ( szszuzczcdt0 @ SV14 ) ) )
= $true )
| ( ( SV5 = SV14 )
= $true )
| ( ( aElementOf0 @ SV5 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV14 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(236,plain,
! [SV15: $i,SV8: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV8 @ SV15 )
| ~ ( sdtlseqdt0 @ SV15 @ SV8 ) )
= $true )
| ( ( SV8 = SV15 )
= $true )
| ( ( aElementOf0 @ SV8 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV15 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(237,plain,
! [SV20: $i,SV16: $i,SV9: $i] :
( ( ( aElementOf0 @ SV9 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV16 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( aElementOf0 @ SV20 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV9 @ SV16 )
| ~ ( sdtlseqdt0 @ SV16 @ SV20 )
| ( sdtlseqdt0 @ SV9 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(238,plain,
! [SV17: $i,SV10: $i] :
( ( ( aSubsetOf0 @ SV10 @ szNzAzT0 )
= $false )
| ( ( ~ ( aSubsetOf0 @ SV17 @ szNzAzT0 ) )
= $true )
| ( ( SV10 = slcrc0 )
= $true )
| ( ( SV17 = slcrc0 )
= $true )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV10 ) @ SV17 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV17 ) @ SV10 )
| ( ( szmzizndt0 @ SV10 )
= ( szmzizndt0 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(239,plain,
! [SV11: $i,SV1: $i] :
( ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV1 ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ SV11 ) ) )
= $false )
| ( ( SV1 = SV11 )
= $true )
| ( ( aElementOf0 @ SV1 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV11 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(240,plain,
! [SV12: $i,SV3: $i] :
( ( ( ~ ( aSubsetOf0 @ SV3 @ SV12 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV12 @ SV3 ) )
= $true )
| ( ( SV3 = SV12 )
= $true )
| ( ( aSet0 @ SV3 )
= $false )
| ( ( aSet0 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(241,plain,
! [SV18: $i,SV4: $i,SV13: $i] :
( ( ( aSet0 @ SV13 )
= $false )
| ( ( aSet0 @ SV4 )
= $false )
| ( ( ~ ( aSet0 @ SV18 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV4 @ SV13 )
| ~ ( aSubsetOf0 @ SV13 @ SV18 )
| ( aSubsetOf0 @ SV4 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(242,plain,
! [SV14: $i,SV5: $i] :
( ( ( ( szszuzczcdt0 @ SV5 )
= ( szszuzczcdt0 @ SV14 ) )
= $false )
| ( ( SV5 = SV14 )
= $true )
| ( ( aElementOf0 @ SV5 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV14 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(243,plain,
! [SV15: $i,SV8: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV8 @ SV15 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV15 @ SV8 ) )
= $true )
| ( ( SV8 = SV15 )
= $true )
| ( ( aElementOf0 @ SV8 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV15 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(244,plain,
! [SV20: $i,SV9: $i,SV16: $i] :
( ( ( aElementOf0 @ SV16 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV9 @ szNzAzT0 )
= $false )
| ( ( ~ ( aElementOf0 @ SV20 @ szNzAzT0 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV9 @ SV16 )
| ~ ( sdtlseqdt0 @ SV16 @ SV20 )
| ( sdtlseqdt0 @ SV9 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(245,plain,
! [SV10: $i,SV17: $i] :
( ( ( aSubsetOf0 @ SV17 @ szNzAzT0 )
= $false )
| ( ( aSubsetOf0 @ SV10 @ szNzAzT0 )
= $false )
| ( ( SV10 = slcrc0 )
= $true )
| ( ( SV17 = slcrc0 )
= $true )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV10 ) @ SV17 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV17 ) @ SV10 )
| ( ( szmzizndt0 @ SV10 )
= ( szmzizndt0 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(246,plain,
! [SV12: $i,SV3: $i] :
( ( ( aSubsetOf0 @ SV3 @ SV12 )
= $false )
| ( ( ~ ( aSubsetOf0 @ SV12 @ SV3 ) )
= $true )
| ( ( SV3 = SV12 )
= $true )
| ( ( aSet0 @ SV3 )
= $false )
| ( ( aSet0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(247,plain,
! [SV13: $i,SV4: $i,SV18: $i] :
( ( ( aSet0 @ SV18 )
= $false )
| ( ( aSet0 @ SV4 )
= $false )
| ( ( aSet0 @ SV13 )
= $false )
| ( ( ~ ( aSubsetOf0 @ SV4 @ SV13 )
| ~ ( aSubsetOf0 @ SV13 @ SV18 )
| ( aSubsetOf0 @ SV4 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(248,plain,
! [SV15: $i,SV8: $i] :
( ( ( sdtlseqdt0 @ SV8 @ SV15 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV15 @ SV8 ) )
= $true )
| ( ( SV8 = SV15 )
= $true )
| ( ( aElementOf0 @ SV8 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV15 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(249,plain,
! [SV16: $i,SV9: $i,SV20: $i] :
( ( ( aElementOf0 @ SV20 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV9 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV16 @ szNzAzT0 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV9 @ SV16 )
| ~ ( sdtlseqdt0 @ SV16 @ SV20 )
| ( sdtlseqdt0 @ SV9 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(250,plain,
! [SV17: $i,SV10: $i] :
( ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV10 ) @ SV17 )
| ~ ( aElementOf0 @ ( szmzizndt0 @ SV17 ) @ SV10 ) )
= $true )
| ( ( ( szmzizndt0 @ SV10 )
= ( szmzizndt0 @ SV17 ) )
= $true )
| ( ( SV17 = slcrc0 )
= $true )
| ( ( SV10 = slcrc0 )
= $true )
| ( ( aSubsetOf0 @ SV10 @ szNzAzT0 )
= $false )
| ( ( aSubsetOf0 @ SV17 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(251,plain,
! [SV3: $i,SV12: $i] :
( ( ( aSubsetOf0 @ SV12 @ SV3 )
= $false )
| ( ( aSubsetOf0 @ SV3 @ SV12 )
= $false )
| ( ( SV3 = SV12 )
= $true )
| ( ( aSet0 @ SV3 )
= $false )
| ( ( aSet0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(252,plain,
! [SV18: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( aSubsetOf0 @ SV4 @ SV13 )
| ~ ( aSubsetOf0 @ SV13 @ SV18 ) )
= $true )
| ( ( aSubsetOf0 @ SV4 @ SV18 )
= $true )
| ( ( aSet0 @ SV13 )
= $false )
| ( ( aSet0 @ SV4 )
= $false )
| ( ( aSet0 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(253,plain,
! [SV8: $i,SV15: $i] :
( ( ( sdtlseqdt0 @ SV15 @ SV8 )
= $false )
| ( ( sdtlseqdt0 @ SV8 @ SV15 )
= $false )
| ( ( SV8 = SV15 )
= $true )
| ( ( aElementOf0 @ SV8 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV15 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(254,plain,
! [SV20: $i,SV16: $i,SV9: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV9 @ SV16 )
| ~ ( sdtlseqdt0 @ SV16 @ SV20 ) )
= $true )
| ( ( sdtlseqdt0 @ SV9 @ SV20 )
= $true )
| ( ( aElementOf0 @ SV16 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV9 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV20 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(255,plain,
! [SV17: $i,SV10: $i] :
( ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV10 ) @ SV17 ) )
= $true )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV17 ) @ SV10 ) )
= $true )
| ( ( ( szmzizndt0 @ SV10 )
= ( szmzizndt0 @ SV17 ) )
= $true )
| ( ( SV17 = slcrc0 )
= $true )
| ( ( SV10 = slcrc0 )
= $true )
| ( ( aSubsetOf0 @ SV10 @ szNzAzT0 )
= $false )
| ( ( aSubsetOf0 @ SV17 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(256,plain,
! [SV18: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( aSubsetOf0 @ SV4 @ SV13 ) )
= $true )
| ( ( ~ ( aSubsetOf0 @ SV13 @ SV18 ) )
= $true )
| ( ( aSubsetOf0 @ SV4 @ SV18 )
= $true )
| ( ( aSet0 @ SV13 )
= $false )
| ( ( aSet0 @ SV4 )
= $false )
| ( ( aSet0 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(257,plain,
! [SV20: $i,SV16: $i,SV9: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV9 @ SV16 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV16 @ SV20 ) )
= $true )
| ( ( sdtlseqdt0 @ SV9 @ SV20 )
= $true )
| ( ( aElementOf0 @ SV16 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV9 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV20 @ szNzAzT0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(258,plain,
! [SV17: $i,SV10: $i] :
( ( ( aElementOf0 @ ( szmzizndt0 @ SV10 ) @ SV17 )
= $false )
| ( ( ~ ( aElementOf0 @ ( szmzizndt0 @ SV17 ) @ SV10 ) )
= $true )
| ( ( ( szmzizndt0 @ SV10 )
= ( szmzizndt0 @ SV17 ) )
= $true )
| ( ( SV17 = slcrc0 )
= $true )
| ( ( SV10 = slcrc0 )
= $true )
| ( ( aSubsetOf0 @ SV10 @ szNzAzT0 )
= $false )
| ( ( aSubsetOf0 @ SV17 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(259,plain,
! [SV18: $i,SV13: $i,SV4: $i] :
( ( ( aSubsetOf0 @ SV4 @ SV13 )
= $false )
| ( ( ~ ( aSubsetOf0 @ SV13 @ SV18 ) )
= $true )
| ( ( aSubsetOf0 @ SV4 @ SV18 )
= $true )
| ( ( aSet0 @ SV13 )
= $false )
| ( ( aSet0 @ SV4 )
= $false )
| ( ( aSet0 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(260,plain,
! [SV20: $i,SV16: $i,SV9: $i] :
( ( ( sdtlseqdt0 @ SV9 @ SV16 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV16 @ SV20 ) )
= $true )
| ( ( sdtlseqdt0 @ SV9 @ SV20 )
= $true )
| ( ( aElementOf0 @ SV16 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV9 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV20 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(261,plain,
! [SV10: $i,SV17: $i] :
( ( ( aElementOf0 @ ( szmzizndt0 @ SV17 ) @ SV10 )
= $false )
| ( ( aElementOf0 @ ( szmzizndt0 @ SV10 ) @ SV17 )
= $false )
| ( ( ( szmzizndt0 @ SV10 )
= ( szmzizndt0 @ SV17 ) )
= $true )
| ( ( SV17 = slcrc0 )
= $true )
| ( ( SV10 = slcrc0 )
= $true )
| ( ( aSubsetOf0 @ SV10 @ szNzAzT0 )
= $false )
| ( ( aSubsetOf0 @ SV17 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(262,plain,
! [SV4: $i,SV18: $i,SV13: $i] :
( ( ( aSubsetOf0 @ SV13 @ SV18 )
= $false )
| ( ( aSubsetOf0 @ SV4 @ SV13 )
= $false )
| ( ( aSubsetOf0 @ SV4 @ SV18 )
= $true )
| ( ( aSet0 @ SV13 )
= $false )
| ( ( aSet0 @ SV4 )
= $false )
| ( ( aSet0 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(263,plain,
! [SV9: $i,SV20: $i,SV16: $i] :
( ( ( sdtlseqdt0 @ SV16 @ SV20 )
= $false )
| ( ( sdtlseqdt0 @ SV9 @ SV16 )
= $false )
| ( ( sdtlseqdt0 @ SV9 @ SV20 )
= $true )
| ( ( aElementOf0 @ SV16 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV9 @ szNzAzT0 )
= $false )
| ( ( aElementOf0 @ SV20 @ szNzAzT0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(264,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[143,263,262,261,253,251,242,239,230,227,208,199,193,179,157,153,152,150,149,148,147,146,145,144]) ).
thf(265,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM632+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jul 7 17:02:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.39 ..
% 0.19/0.42
% 0.19/0.42 No.of.Axioms: 103
% 0.19/0.42
% 0.19/0.42 Length.of.Defs: 0
% 0.19/0.42
% 0.19/0.42 Contains.Choice.Funs: false
% 0.19/0.46 .....
% 0.19/0.47 (rf:2,axioms:23,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:105,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.19/0.53
% 0.19/0.53 ********************************
% 0.19/0.53 * All subproblems solved! *
% 0.19/0.53 ********************************
% 0.19/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:23,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:264,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.53
% 0.19/0.53 %**** Beginning of derivation protocol ****
% 0.19/0.53 % SZS output start CNFRefutation
% See solution above
% 0.19/0.54
% 0.19/0.54 %**** End of derivation protocol ****
% 0.19/0.54 %**** no. of clauses in derivation: 185 ****
% 0.19/0.54 %**** clause counter: 264 ****
% 0.19/0.54
% 0.19/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:23,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:264,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------