TSTP Solution File: NUM621+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM621+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.o2Ty7bCIux true
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 12:42:48 EDT 2023
% Result : Timeout 285.82s 41.53s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 58
% Syntax : Number of formulae : 202 ( 67 unt; 31 typ; 0 def)
% Number of atoms : 416 ( 83 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1198 ( 187 ~; 192 |; 29 &; 766 @)
% ( 7 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 30 usr; 14 con; 0-3 aty)
% Number of variables : 138 ( 0 ^; 138 !; 0 ?; 138 :)
% Comments :
%------------------------------------------------------------------------------
thf(xx_type,type,
xx: $i ).
thf(szDzizrdt0_type,type,
szDzizrdt0: $i > $i ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
thf(aFunction0_type,type,
aFunction0: $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(xQ_type,type,
xQ: $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(xP_type,type,
xP: $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(xN_type,type,
xN: $i ).
thf(sdtlbdtrb0_type,type,
sdtlbdtrb0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(xS_type,type,
xS: $i ).
thf(xe_type,type,
xe: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(xd_type,type,
xd: $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(isFinite0_type,type,
isFinite0: $i > $o ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(xO_type,type,
xO: $i ).
thf(xm_type,type,
xm: $i ).
thf(xp_type,type,
xp: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xn_type,type,
xn: $i ).
thf(sdtlcdtrc0_type,type,
sdtlcdtrc0: $i > $i > $i ).
thf(m__5164,axiom,
( ( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
& ( aSet0 @ xP ) ) ).
thf(zip_derived_cl190,plain,
( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ),
inference(cnf,[status(esa)],[m__5164]) ).
thf(m__5147,axiom,
( xp
= ( szmzizndt0 @ xQ ) ) ).
thf(zip_derived_cl189,plain,
( xp
= ( szmzizndt0 @ xQ ) ),
inference(cnf,[status(esa)],[m__5147]) ).
thf(zip_derived_cl1696,plain,
( xP
= ( sdtmndt0 @ xQ @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl189]) ).
thf(m__5348,axiom,
aElementOf0 @ xx @ xP ).
thf(zip_derived_cl202,plain,
aElementOf0 @ xx @ xP,
inference(cnf,[status(esa)],[m__5348]) ).
thf(mDefDiff,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W1 )
& ( aSet0 @ W0 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtmndt0 @ W0 @ W1 ) )
<=> ( ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ( ( W3 != W1 )
& ( aElementOf0 @ W3 @ W0 )
& ( aElement0 @ W3 ) ) )
& ( aSet0 @ W2 ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [W3: $i,W1: $i,W0: $i] :
( ( zip_tseitin_1 @ W3 @ W1 @ W0 )
<=> ( ( aElement0 @ W3 )
& ( aElementOf0 @ W3 @ W0 )
& ( W3 != W1 ) ) ) ).
thf(zf_stmt_2,axiom,
! [W0: $i,W1: $i] :
( ( ( aSet0 @ W0 )
& ( aElement0 @ W1 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtmndt0 @ W0 @ W1 ) )
<=> ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ( zip_tseitin_1 @ W3 @ W1 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElementOf0 @ X2 @ X3 )
| ( zip_tseitin_1 @ X2 @ X1 @ X0 )
| ( X3
!= ( sdtmndt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X0 )
| ~ ( zip_tseitin_1 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
!= ( sdtmndt0 @ X0 @ X1 ) )
| ~ ( aElementOf0 @ X3 @ X2 )
| ~ ( aElement0 @ X1 )
| ~ ( aSet0 @ X0 )
| ( X3 != X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl27]) ).
thf(zip_derived_cl1670,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElementOf0 @ X1 @ X2 )
| ( X2
!= ( sdtmndt0 @ X0 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1238]) ).
thf(zip_derived_cl6355,plain,
! [X0: $i] :
( ( xP
!= ( sdtmndt0 @ X0 @ xx ) )
| ~ ( aElement0 @ xx )
| ~ ( aSet0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl1670]) ).
thf(mEOfElem,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElement0 @ W1 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
thf(m__5365,axiom,
( ( aElementOf0 @ xx @ xO )
& ( aElementOf0 @ xx @ szNzAzT0 ) ) ).
thf(zip_derived_cl203,plain,
aElementOf0 @ xx @ xO,
inference(cnf,[status(esa)],[m__5365]) ).
thf(zip_derived_cl1469,plain,
( ~ ( aSet0 @ xO )
| ( aElement0 @ xx ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl203]) ).
thf(m__4891,axiom,
( ( xO
= ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
& ( aSet0 @ xO ) ) ).
thf(zip_derived_cl179,plain,
aSet0 @ xO,
inference(cnf,[status(esa)],[m__4891]) ).
thf(zip_derived_cl1470,plain,
aElement0 @ xx,
inference(demod,[status(thm)],[zip_derived_cl1469,zip_derived_cl179]) ).
thf(zip_derived_cl6399,plain,
! [X0: $i] :
( ( xP
!= ( sdtmndt0 @ X0 @ xx ) )
| ~ ( aSet0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6355,zip_derived_cl1470]) ).
thf(mDefSub,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(m__3671,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ).
thf(zip_derived_cl151,plain,
! [X0: $i] :
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl2176,plain,
! [X0: $i] :
( ~ ( aSet0 @ szNzAzT0 )
| ( aSet0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl151]) ).
thf(mNATSet,axiom,
( ( isCountable0 @ szNzAzT0 )
& ( aSet0 @ szNzAzT0 ) ) ).
thf(zip_derived_cl41,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl2180,plain,
! [X0: $i] :
( ( aSet0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2176,zip_derived_cl41]) ).
thf(m__,conjecture,
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( sdtlpdtrp0 @ xN @ xm ) )
=> ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ) ).
thf(zf_stmt_3,negated_conjecture,
~ ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( sdtlpdtrp0 @ xN @ xm ) )
=> ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl209,plain,
aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( sdtlpdtrp0 @ xN @ xm ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl151_001,plain,
! [X0: $i] :
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(mSubTrans,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aSet0 @ W0 )
& ( aSet0 @ W1 )
& ( aSet0 @ W2 ) )
=> ( ( ( aSubsetOf0 @ W0 @ W1 )
& ( aSubsetOf0 @ W1 @ W2 ) )
=> ( aSubsetOf0 @ W0 @ W2 ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 )
| ~ ( aSet0 @ X0 )
| ~ ( aSet0 @ X2 )
| ( aSubsetOf0 @ X0 @ X2 )
| ~ ( aSubsetOf0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[mSubTrans]) ).
thf(zip_derived_cl11_002,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl1565,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X1 @ X2 )
| ( aSubsetOf0 @ X0 @ X2 )
| ~ ( aSet0 @ X2 )
| ~ ( aSet0 @ X0 )
| ~ ( aSubsetOf0 @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl11]) ).
thf(zip_derived_cl2173,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aSet0 @ X1 )
| ~ ( aSet0 @ szNzAzT0 )
| ( aSubsetOf0 @ X1 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl1565]) ).
thf(zip_derived_cl41_003,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl2187,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aSet0 @ X1 )
| ( aSubsetOf0 @ X1 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2173,zip_derived_cl41]) ).
thf(zip_derived_cl20788,plain,
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ szNzAzT0 )
| ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xn ) )
| ~ ( aElementOf0 @ xm @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl2187]) ).
thf(zip_derived_cl11_004,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl209_005,plain,
aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( sdtlpdtrp0 @ xN @ xm ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1444,plain,
( ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( aSet0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl209]) ).
thf(zip_derived_cl2180_006,plain,
! [X0: $i] :
( ( aSet0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2176,zip_derived_cl41]) ).
thf(zip_derived_cl20016,plain,
( ( aSet0 @ ( sdtlpdtrp0 @ xN @ xn ) )
| ~ ( aElementOf0 @ xm @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1444,zip_derived_cl2180]) ).
thf(m__5389,axiom,
( ( xx
= ( sdtlpdtrp0 @ xe @ xm ) )
& ( aElementOf0 @ xm @ szNzAzT0 ) ) ).
thf(zip_derived_cl206,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__5389]) ).
thf(zip_derived_cl20021,plain,
aSet0 @ ( sdtlpdtrp0 @ xN @ xn ),
inference(demod,[status(thm)],[zip_derived_cl20016,zip_derived_cl206]) ).
thf(zip_derived_cl206_007,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__5389]) ).
thf(zip_derived_cl20800,plain,
aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ szNzAzT0,
inference(demod,[status(thm)],[zip_derived_cl20788,zip_derived_cl20021,zip_derived_cl206]) ).
thf(mDefMin,axiom,
! [W0: $i] :
( ( ( aSubsetOf0 @ W0 @ szNzAzT0 )
& ( W0 != slcrc0 ) )
=> ! [W1: $i] :
( ( W1
= ( szmzizndt0 @ W0 ) )
<=> ( ( aElementOf0 @ W1 @ W0 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W0 )
=> ( sdtlseqdt0 @ W1 @ W2 ) ) ) ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( szmzizndt0 @ X0 ) )
| ( aElementOf0 @ X1 @ X0 )
| ( X0 = slcrc0 )
| ~ ( aSubsetOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefMin]) ).
thf(zip_derived_cl20817,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xN @ xn )
= slcrc0 )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xn ) )
| ( X0
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20800,zip_derived_cl72]) ).
thf(m__5309,axiom,
( ( ( sdtlpdtrp0 @ xe @ xn )
= xp )
& ( aElementOf0 @ xn @ szNzAzT0 )
& ( aElementOf0 @ xn @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ) ).
thf(zip_derived_cl198,plain,
( ( sdtlpdtrp0 @ xe @ xn )
= xp ),
inference(cnf,[status(esa)],[m__5309]) ).
thf(m__4660,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( sdtlpdtrp0 @ xe @ W0 )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( ( szDzozmdt0 @ xe )
= szNzAzT0 )
& ( aFunction0 @ xe ) ) ).
thf(zip_derived_cl171,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xe @ X0 )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__4660]) ).
thf(zip_derived_cl2220,plain,
( ( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) )
| ~ ( aElementOf0 @ xn @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl171]) ).
thf(zip_derived_cl199,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl2223,plain,
( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2220,zip_derived_cl199]) ).
thf(zip_derived_cl20830,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xN @ xn )
= slcrc0 )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xn ) )
| ( X0 != xp ) ),
inference(demod,[status(thm)],[zip_derived_cl20817,zip_derived_cl2223]) ).
thf(zip_derived_cl2180_008,plain,
! [X0: $i] :
( ( aSet0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2176,zip_derived_cl41]) ).
thf(zip_derived_cl151_009,plain,
! [X0: $i] :
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl209_010,plain,
aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( sdtlpdtrp0 @ xN @ xm ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl1443,plain,
! [X0: $i] :
( ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xn ) )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl10]) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( szmzizndt0 @ X0 ) )
| ( sdtlseqdt0 @ X1 @ X2 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ( X0 = slcrc0 )
| ~ ( aSubsetOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefMin]) ).
thf(zip_derived_cl2518,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xn ) )
| ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ szNzAzT0 )
| ( ( sdtlpdtrp0 @ xN @ xm )
= slcrc0 )
| ( sdtlseqdt0 @ X1 @ X0 )
| ( X1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1443,zip_derived_cl71]) ).
thf(m__5401,axiom,
( xx
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ) ).
thf(zip_derived_cl207,plain,
( xx
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference(cnf,[status(esa)],[m__5401]) ).
thf(zip_derived_cl2534,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xn ) )
| ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ szNzAzT0 )
| ( ( sdtlpdtrp0 @ xN @ xm )
= slcrc0 )
| ( sdtlseqdt0 @ X1 @ X0 )
| ( X1 != xx ) ),
inference(demod,[status(thm)],[zip_derived_cl2518,zip_derived_cl207]) ).
thf(zip_derived_cl3631,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ( X0 != xx )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( ( sdtlpdtrp0 @ xN @ xm )
= slcrc0 )
| ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl2534]) ).
thf(zip_derived_cl206_011,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__5389]) ).
thf(zip_derived_cl3632,plain,
! [X0: $i,X1: $i] :
( ( X0 != xx )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( ( sdtlpdtrp0 @ xN @ xm )
= slcrc0 )
| ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3631,zip_derived_cl206]) ).
thf(zip_derived_cl20013,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xn ) )
| ( ( sdtlpdtrp0 @ xN @ xm )
= slcrc0 )
| ( sdtlseqdt0 @ X1 @ X0 )
| ( X1 != xx ) ),
inference('sup-',[status(thm)],[zip_derived_cl2180,zip_derived_cl3632]) ).
thf(zip_derived_cl206_012,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__5389]) ).
thf(zip_derived_cl20030,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xn ) )
| ( ( sdtlpdtrp0 @ xN @ xm )
= slcrc0 )
| ( sdtlseqdt0 @ X1 @ X0 )
| ( X1 != xx ) ),
inference(demod,[status(thm)],[zip_derived_cl20013,zip_derived_cl206]) ).
thf(zip_derived_cl22829,plain,
! [X0: $i,X1: $i] :
( ( X0 != xp )
| ( ( sdtlpdtrp0 @ xN @ xn )
= slcrc0 )
| ( X1 != xx )
| ( sdtlseqdt0 @ X1 @ X0 )
| ( ( sdtlpdtrp0 @ xN @ xm )
= slcrc0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20830,zip_derived_cl20030]) ).
thf(zip_derived_cl22847,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xN @ xm )
= slcrc0 )
| ( sdtlseqdt0 @ X0 @ xp )
| ( X0 != xx )
| ( ( sdtlpdtrp0 @ xN @ xn )
= slcrc0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl22829]) ).
thf(zip_derived_cl23013,plain,
( ( ( sdtlpdtrp0 @ xN @ xn )
= slcrc0 )
| ( sdtlseqdt0 @ xx @ xp )
| ( ( sdtlpdtrp0 @ xN @ xm )
= slcrc0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl22847]) ).
thf(zip_derived_cl152,plain,
! [X0: $i] :
( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(mCountNFin,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isCountable0 @ W0 ) )
=> ~ ( isFinite0 @ W0 ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ~ ( isFinite0 @ X0 )
| ~ ( isCountable0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCountNFin]) ).
thf(zip_derived_cl1736,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( isFinite0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl6]) ).
thf(zip_derived_cl23060,plain,
( ~ ( isFinite0 @ slcrc0 )
| ( sdtlseqdt0 @ xx @ xp )
| ( ( sdtlpdtrp0 @ xN @ xn )
= slcrc0 )
| ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ~ ( aElementOf0 @ xm @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23013,zip_derived_cl1736]) ).
thf(mEmpFin,axiom,
isFinite0 @ slcrc0 ).
thf(zip_derived_cl4,plain,
isFinite0 @ slcrc0,
inference(cnf,[status(esa)],[mEmpFin]) ).
thf(zip_derived_cl206_013,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__5389]) ).
thf(zip_derived_cl23143,plain,
( ( sdtlseqdt0 @ xx @ xp )
| ( ( sdtlpdtrp0 @ xN @ xn )
= slcrc0 )
| ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23060,zip_derived_cl4,zip_derived_cl206]) ).
thf(zip_derived_cl23220,plain,
( ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ( ( sdtlpdtrp0 @ xN @ xn )
= slcrc0 )
| ( sdtlseqdt0 @ xx @ xp ) ),
inference('sup-',[status(thm)],[zip_derived_cl2180,zip_derived_cl23143]) ).
thf(zip_derived_cl206_014,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__5389]) ).
thf(zip_derived_cl23224,plain,
( ( ( sdtlpdtrp0 @ xN @ xn )
= slcrc0 )
| ( sdtlseqdt0 @ xx @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl23220,zip_derived_cl206]) ).
thf(zip_derived_cl1736_015,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( isFinite0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl6]) ).
thf(zip_derived_cl23237,plain,
( ~ ( isFinite0 @ slcrc0 )
| ( sdtlseqdt0 @ xx @ xp )
| ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xn ) )
| ~ ( aElementOf0 @ xn @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23224,zip_derived_cl1736]) ).
thf(zip_derived_cl4_016,plain,
isFinite0 @ slcrc0,
inference(cnf,[status(esa)],[mEmpFin]) ).
thf(zip_derived_cl20021_017,plain,
aSet0 @ ( sdtlpdtrp0 @ xN @ xn ),
inference(demod,[status(thm)],[zip_derived_cl20016,zip_derived_cl206]) ).
thf(zip_derived_cl199_018,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl23400,plain,
sdtlseqdt0 @ xx @ xp,
inference(demod,[status(thm)],[zip_derived_cl23237,zip_derived_cl4,zip_derived_cl20021,zip_derived_cl199]) ).
thf(mLessASymm,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLessASymm]) ).
thf(zip_derived_cl23445,plain,
( ~ ( sdtlseqdt0 @ xp @ xx )
| ( xp = xx )
| ~ ( aElementOf0 @ xx @ szNzAzT0 )
| ~ ( aElementOf0 @ xp @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23400,zip_derived_cl56]) ).
thf(zip_derived_cl204,plain,
aElementOf0 @ xx @ szNzAzT0,
inference(cnf,[status(esa)],[m__5365]) ).
thf(m__4998,axiom,
aSubsetOf0 @ xO @ xS ).
thf(zip_derived_cl185,plain,
aSubsetOf0 @ xO @ xS,
inference(cnf,[status(esa)],[m__4998]) ).
thf(zip_derived_cl10_019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl1500,plain,
! [X0: $i] :
( ~ ( aSet0 @ xS )
| ~ ( aElementOf0 @ X0 @ xO )
| ( aElementOf0 @ X0 @ xS ) ),
inference('sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl10]) ).
thf(zip_derived_cl11_020,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(m__3435,axiom,
( ( isCountable0 @ xS )
& ( aSubsetOf0 @ xS @ szNzAzT0 ) ) ).
thf(zip_derived_cl134,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl1481,plain,
( ~ ( aSet0 @ szNzAzT0 )
| ( aSet0 @ xS ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl134]) ).
thf(zip_derived_cl41_021,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl1483,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1481,zip_derived_cl41]) ).
thf(zip_derived_cl4914,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xO )
| ( aElementOf0 @ X0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1500,zip_derived_cl1483]) ).
thf(m__5182,axiom,
aElementOf0 @ xp @ xO ).
thf(zip_derived_cl193,plain,
aElementOf0 @ xp @ xO,
inference(cnf,[status(esa)],[m__5182]) ).
thf(zip_derived_cl4915,plain,
aElementOf0 @ xp @ xS,
inference('sup+',[status(thm)],[zip_derived_cl4914,zip_derived_cl193]) ).
thf(zip_derived_cl134_022,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl10_023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl1478,plain,
! [X0: $i] :
( ~ ( aSet0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ xS )
| ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl10]) ).
thf(zip_derived_cl41_024,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl1485,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xS )
| ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1478,zip_derived_cl41]) ).
thf(zip_derived_cl4984,plain,
aElementOf0 @ xp @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl4915,zip_derived_cl1485]) ).
thf(zip_derived_cl23454,plain,
( ~ ( sdtlseqdt0 @ xp @ xx )
| ( xp = xx ) ),
inference(demod,[status(thm)],[zip_derived_cl23445,zip_derived_cl204,zip_derived_cl4984]) ).
thf(m__5195,axiom,
aSubsetOf0 @ xP @ xQ ).
thf(zip_derived_cl194,plain,
aSubsetOf0 @ xP @ xQ,
inference(cnf,[status(esa)],[m__5195]) ).
thf(zip_derived_cl10_025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl1539,plain,
! [X0: $i] :
( ~ ( aSet0 @ xQ )
| ~ ( aElementOf0 @ X0 @ xP )
| ( aElementOf0 @ X0 @ xQ ) ),
inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl10]) ).
thf(zip_derived_cl11_026,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(m__5093,axiom,
( ( xQ != slcrc0 )
& ( aSubsetOf0 @ xQ @ xO ) ) ).
thf(zip_derived_cl188,plain,
aSubsetOf0 @ xQ @ xO,
inference(cnf,[status(esa)],[m__5093]) ).
thf(zip_derived_cl1508,plain,
( ~ ( aSet0 @ xO )
| ( aSet0 @ xQ ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl188]) ).
thf(zip_derived_cl179_027,plain,
aSet0 @ xO,
inference(cnf,[status(esa)],[m__4891]) ).
thf(zip_derived_cl1510,plain,
aSet0 @ xQ,
inference(demod,[status(thm)],[zip_derived_cl1508,zip_derived_cl179]) ).
thf(zip_derived_cl5376,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xP )
| ( aElementOf0 @ X0 @ xQ ) ),
inference(demod,[status(thm)],[zip_derived_cl1539,zip_derived_cl1510]) ).
thf(zip_derived_cl202_028,plain,
aElementOf0 @ xx @ xP,
inference(cnf,[status(esa)],[m__5348]) ).
thf(zip_derived_cl5377,plain,
aElementOf0 @ xx @ xQ,
inference('sup+',[status(thm)],[zip_derived_cl5376,zip_derived_cl202]) ).
thf(zip_derived_cl71_029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( szmzizndt0 @ X0 ) )
| ( sdtlseqdt0 @ X1 @ X2 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ( X0 = slcrc0 )
| ~ ( aSubsetOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefMin]) ).
thf(zip_derived_cl5397,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ xQ @ szNzAzT0 )
| ( xQ = slcrc0 )
| ( sdtlseqdt0 @ X0 @ xx )
| ( X0
!= ( szmzizndt0 @ xQ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5377,zip_derived_cl71]) ).
thf(zip_derived_cl189_030,plain,
( xp
= ( szmzizndt0 @ xQ ) ),
inference(cnf,[status(esa)],[m__5147]) ).
thf(zip_derived_cl5416,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ xQ @ szNzAzT0 )
| ( xQ = slcrc0 )
| ( sdtlseqdt0 @ X0 @ xx )
| ( X0 != xp ) ),
inference(demod,[status(thm)],[zip_derived_cl5397,zip_derived_cl189]) ).
thf(zip_derived_cl187,plain,
xQ != slcrc0,
inference(cnf,[status(esa)],[m__5093]) ).
thf(zip_derived_cl5417,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ xQ @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ xx )
| ( X0 != xp ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5416,zip_derived_cl187]) ).
thf(zip_derived_cl188_031,plain,
aSubsetOf0 @ xQ @ xO,
inference(cnf,[status(esa)],[m__5093]) ).
thf(zip_derived_cl185_032,plain,
aSubsetOf0 @ xO @ xS,
inference(cnf,[status(esa)],[m__4998]) ).
thf(zip_derived_cl1565_033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X1 @ X2 )
| ( aSubsetOf0 @ X0 @ X2 )
| ~ ( aSet0 @ X2 )
| ~ ( aSet0 @ X0 )
| ~ ( aSubsetOf0 @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl11]) ).
thf(zip_derived_cl1569,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ X0 @ xO )
| ~ ( aSet0 @ X0 )
| ~ ( aSet0 @ xS )
| ( aSubsetOf0 @ X0 @ xS ) ),
inference('sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl1565]) ).
thf(zip_derived_cl1483_034,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1481,zip_derived_cl41]) ).
thf(zip_derived_cl5625,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ X0 @ xO )
| ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ X0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1569,zip_derived_cl1483]) ).
thf(zip_derived_cl5633,plain,
( ( aSubsetOf0 @ xQ @ xS )
| ~ ( aSet0 @ xQ ) ),
inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl5625]) ).
thf(zip_derived_cl1510_035,plain,
aSet0 @ xQ,
inference(demod,[status(thm)],[zip_derived_cl1508,zip_derived_cl179]) ).
thf(zip_derived_cl5639,plain,
aSubsetOf0 @ xQ @ xS,
inference(demod,[status(thm)],[zip_derived_cl5633,zip_derived_cl1510]) ).
thf(zip_derived_cl134_036,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl1565_037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X1 @ X2 )
| ( aSubsetOf0 @ X0 @ X2 )
| ~ ( aSet0 @ X2 )
| ~ ( aSet0 @ X0 )
| ~ ( aSubsetOf0 @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl11]) ).
thf(zip_derived_cl1568,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ X0 @ xS )
| ~ ( aSet0 @ X0 )
| ~ ( aSet0 @ szNzAzT0 )
| ( aSubsetOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl1565]) ).
thf(zip_derived_cl41_038,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl1577,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ X0 @ xS )
| ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1568,zip_derived_cl41]) ).
thf(zip_derived_cl5700,plain,
( ( aSubsetOf0 @ xQ @ szNzAzT0 )
| ~ ( aSet0 @ xQ ) ),
inference('sup-',[status(thm)],[zip_derived_cl5639,zip_derived_cl1577]) ).
thf(zip_derived_cl1510_039,plain,
aSet0 @ xQ,
inference(demod,[status(thm)],[zip_derived_cl1508,zip_derived_cl179]) ).
thf(zip_derived_cl5706,plain,
aSubsetOf0 @ xQ @ szNzAzT0,
inference(demod,[status(thm)],[zip_derived_cl5700,zip_derived_cl1510]) ).
thf(zip_derived_cl186185,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ xx )
| ( X0 != xp ) ),
inference(demod,[status(thm)],[zip_derived_cl5417,zip_derived_cl5706]) ).
thf(zip_derived_cl186278,plain,
( ( xp = xx )
| ( xp != xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl23454,zip_derived_cl186185]) ).
thf(zip_derived_cl186325,plain,
xp = xx,
inference(simplify,[status(thm)],[zip_derived_cl186278]) ).
thf(zip_derived_cl186566,plain,
! [X0: $i] :
( ( xP
!= ( sdtmndt0 @ X0 @ xp ) )
| ~ ( aSet0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6399,zip_derived_cl186325]) ).
thf(zip_derived_cl191463,plain,
( ( xP != xP )
| ~ ( aSet0 @ xQ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1696,zip_derived_cl186566]) ).
thf(zip_derived_cl1510_040,plain,
aSet0 @ xQ,
inference(demod,[status(thm)],[zip_derived_cl1508,zip_derived_cl179]) ).
thf(zip_derived_cl191465,plain,
xP != xP,
inference(demod,[status(thm)],[zip_derived_cl191463,zip_derived_cl1510]) ).
thf(zip_derived_cl191466,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl191465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM621+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.o2Ty7bCIux true
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 14:10:23 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.36/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.36/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.36/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.36/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.36/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.36/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 285.82/41.53 % Solved by fo/fo3_bce.sh.
% 285.82/41.53 % BCE start: 211
% 285.82/41.53 % BCE eliminated: 4
% 285.82/41.53 % PE start: 207
% 285.82/41.53 logic: eq
% 285.82/41.53 % PE eliminated: 0
% 285.82/41.53 % done 20225 iterations in 40.697s
% 285.82/41.53 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 285.82/41.53 % SZS output start Refutation
% See solution above
% 285.82/41.54
% 285.82/41.54
% 285.82/41.54 % Terminating...
% 285.82/41.65 % Runner terminated.
% 286.65/41.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------