TSTP Solution File: NUM579+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM579+3 : 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.FTo7qSfhuB true
% Computer : n025.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 12:42:30 EDT 2023
% Result : Theorem 17.96s 3.18s
% Output : Refutation 17.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 63
% Syntax : Number of formulae : 140 ( 35 unt; 41 typ; 0 def)
% Number of atoms : 327 ( 38 equ; 0 cnn)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 1515 ( 81 ~; 86 |; 76 &;1206 @)
% ( 14 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 55 ( 55 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 33 usr; 10 con; 0-3 aty)
% Number of variables : 114 ( 0 ^; 114 !; 0 ?; 114 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_25_type,type,
zip_tseitin_25: $i > $i > $i > $o ).
thf(zip_tseitin_24_type,type,
zip_tseitin_24: $i > $i > $o ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
thf(aFunction0_type,type,
aFunction0: $i > $o ).
thf(zip_tseitin_21_type,type,
zip_tseitin_21: $i > $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $i > $o ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xS_type,type,
xS: $i ).
thf(sk__31_type,type,
sk__31: $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(sk__32_type,type,
sk__32: $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(isFinite0_type,type,
isFinite0: $i > $o ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xk_type,type,
xk: $i ).
thf(xK_type,type,
xK: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(xN_type,type,
xN: $i ).
thf(zip_tseitin_22_type,type,
zip_tseitin_22: $i > $i > $o ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $i > $i > $o ).
thf(zip_tseitin_26_type,type,
zip_tseitin_26: $i > $i > $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(zip_tseitin_20_type,type,
zip_tseitin_20: $i > $o ).
thf(sk__30_type,type,
sk__30: $i ).
thf(mCardCons,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isFinite0 @ W0 ) )
=> ! [W1: $i] :
( ( aElement0 @ W1 )
=> ( ~ ( aElementOf0 @ W1 @ W0 )
=> ( ( sbrdtbr0 @ ( sdtpldt0 @ W0 @ W1 ) )
= ( szszuzczcdt0 @ ( sbrdtbr0 @ W0 ) ) ) ) ) ) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ( ( sbrdtbr0 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( szszuzczcdt0 @ ( sbrdtbr0 @ X1 ) ) )
| ( aElementOf0 @ X0 @ X1 )
| ~ ( isFinite0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mCardCons]) ).
thf(m__,conjecture,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ! [W1: $i] :
( ( ( aElementOf0 @ W1 @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ xk ) )
& ( ( sbrdtbr0 @ W1 )
= xk )
& ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( ( W2
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
& ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( aElement0 @ W2 ) ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( aSet0 @ W1 ) )
=> ( ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
=> ( ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( ( ( W2
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
| ( aElementOf0 @ W2 @ W1 ) )
& ( aElement0 @ W2 ) ) )
& ( aSet0 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
=> ( ( aElementOf0 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ ( slbdtsldtrb0 @ xS @ xK ) )
| ( ( ( sbrdtbr0 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
= xK )
& ( ( aSubsetOf0 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ xS )
| ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
=> ( aElementOf0 @ W2 @ xS ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_26: $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [W2: $i,W1: $i,W0: $i] :
( ( zip_tseitin_26 @ W2 @ W1 @ W0 )
<=> ( ( aElement0 @ W2 )
& ( zip_tseitin_25 @ W2 @ W1 @ W0 ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_25: $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [W2: $i,W1: $i,W0: $i] :
( ( zip_tseitin_25 @ W2 @ W1 @ W0 )
<=> ( ( aElementOf0 @ W2 @ W1 )
| ( W2
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_24: $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [W2: $i,W0: $i] :
( ( zip_tseitin_24 @ W2 @ W0 )
<=> ( ( aElement0 @ W2 )
& ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( W2
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ).
thf(zf_stmt_6,conjecture,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ! [W1: $i] :
( ( ( aSet0 @ W1 )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( zip_tseitin_24 @ W2 @ W0 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( ( sbrdtbr0 @ W1 )
= xk )
& ( aElementOf0 @ W1 @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ xk ) ) )
=> ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) )
=> ( ( ( aSet0 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( zip_tseitin_26 @ W2 @ W1 @ W0 ) ) )
=> ( ( ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
=> ( aElementOf0 @ W2 @ xS ) )
| ( aSubsetOf0 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ xS ) )
& ( ( sbrdtbr0 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
= xK ) )
| ( aElementOf0 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ ( slbdtsldtrb0 @ xS @ xK ) ) ) ) ) ) ) ).
thf(zf_stmt_7,negated_conjecture,
~ ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ! [W1: $i] :
( ( ( aSet0 @ W1 )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( zip_tseitin_24 @ W2 @ W0 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( ( sbrdtbr0 @ W1 )
= xk )
& ( aElementOf0 @ W1 @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ xk ) ) )
=> ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) )
=> ( ( ( aSet0 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( zip_tseitin_26 @ W2 @ W1 @ W0 ) ) )
=> ( ( ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
=> ( aElementOf0 @ W2 @ xS ) )
| ( aSubsetOf0 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ xS ) )
& ( ( sbrdtbr0 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
= xK ) )
| ( aElementOf0 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ ( slbdtsldtrb0 @ xS @ xK ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl264,plain,
( ~ ( aElementOf0 @ sk__32 @ xS )
| ( ( sbrdtbr0 @ ( sdtpldt0 @ sk__31 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) )
!= xK ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl69_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ( ( sbrdtbr0 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( szszuzczcdt0 @ ( sbrdtbr0 @ X1 ) ) )
| ( aElementOf0 @ X0 @ X1 )
| ~ ( isFinite0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mCardCons]) ).
thf(zip_derived_cl263,plain,
( ( aElementOf0 @ sk__32 @ ( sdtpldt0 @ sk__31 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) )
| ( ( sbrdtbr0 @ ( sdtpldt0 @ sk__31 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) )
!= xK ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl4923,plain,
( ~ ( aSet0 @ sk__31 )
| ~ ( isFinite0 @ sk__31 )
| ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) @ sk__31 )
| ~ ( aElement0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) )
| ( aElementOf0 @ sk__32 @ ( sdtpldt0 @ sk__31 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) )
| ( ( szszuzczcdt0 @ ( sbrdtbr0 @ sk__31 ) )
!= xK ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl263]) ).
thf(zip_derived_cl273,plain,
aSet0 @ sk__31,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl270,plain,
( ( sbrdtbr0 @ sk__31 )
= xk ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(mCardNum,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( ( aElementOf0 @ ( sbrdtbr0 @ W0 ) @ szNzAzT0 )
<=> ( isFinite0 @ W0 ) ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ ( sbrdtbr0 @ X0 ) @ szNzAzT0 )
| ( isFinite0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCardNum]) ).
thf(zip_derived_cl2721,plain,
( ~ ( aElementOf0 @ xk @ szNzAzT0 )
| ( isFinite0 @ sk__31 )
| ~ ( aSet0 @ sk__31 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl66]) ).
thf(m__3533,axiom,
( ( ( szszuzczcdt0 @ xk )
= xK )
& ( aElementOf0 @ xk @ szNzAzT0 ) ) ).
thf(zip_derived_cl210,plain,
aElementOf0 @ xk @ szNzAzT0,
inference(cnf,[status(esa)],[m__3533]) ).
thf(zip_derived_cl273_002,plain,
aSet0 @ sk__31,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl2727,plain,
isFinite0 @ sk__31,
inference(demod,[status(thm)],[zip_derived_cl2721,zip_derived_cl210,zip_derived_cl273]) ).
thf(zip_derived_cl255,plain,
aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) @ ( sdtlpdtrp0 @ xN @ sk__30 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl254,plain,
aElementOf0 @ sk__30 @ szNzAzT0,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(m__3671,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W1 @ szNzAzT0 ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ).
thf(zip_derived_cl235,plain,
! [X0: $i] :
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
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_cl13,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_cl2346,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aSet0 @ szNzAzT0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl235,zip_derived_cl13]) ).
thf(mNATSet,axiom,
( ( isCountable0 @ szNzAzT0 )
& ( aSet0 @ szNzAzT0 ) ) ).
thf(zip_derived_cl44,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl2353,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2346,zip_derived_cl44]) ).
thf(zip_derived_cl2370,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl2353]) ).
thf(zip_derived_cl2474,plain,
aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) @ szNzAzT0,
inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl2370]) ).
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(zip_derived_cl2475,plain,
( ( aElement0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) )
| ~ ( aSet0 @ szNzAzT0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2474,zip_derived_cl2]) ).
thf(zip_derived_cl44_003,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl2479,plain,
aElement0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2475,zip_derived_cl44]) ).
thf(zip_derived_cl270_004,plain,
( ( sbrdtbr0 @ sk__31 )
= xk ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl209,plain,
( ( szszuzczcdt0 @ xk )
= xK ),
inference(cnf,[status(esa)],[m__3533]) ).
thf(zip_derived_cl4925,plain,
( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) @ sk__31 )
| ( aElementOf0 @ sk__32 @ ( sdtpldt0 @ sk__31 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) )
| ( xK != xK ) ),
inference(demod,[status(thm)],[zip_derived_cl4923,zip_derived_cl273,zip_derived_cl2727,zip_derived_cl2479,zip_derived_cl270,zip_derived_cl209]) ).
thf(zip_derived_cl4926,plain,
( ( aElementOf0 @ sk__32 @ ( sdtpldt0 @ sk__31 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) )
| ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) @ sk__31 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4925]) ).
thf(zip_derived_cl271,plain,
aSubsetOf0 @ sk__31 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl13_005,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_cl5053,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) )
| ~ ( aElementOf0 @ X0 @ sk__31 )
| ~ ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl13]) ).
thf(zip_derived_cl259,plain,
aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl5058,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) )
| ~ ( aElementOf0 @ X0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl5053,zip_derived_cl259]) ).
thf(zip_derived_cl257,plain,
! [X1: $i] :
( ( zip_tseitin_24 @ X1 @ sk__30 )
| ~ ( aElementOf0 @ X1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl246,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
| ~ ( zip_tseitin_24 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl1774,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) )
| ( X0
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl257,zip_derived_cl246]) ).
thf(zip_derived_cl2358,plain,
~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1774]) ).
thf(zip_derived_cl5066,plain,
~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) @ sk__31 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5058,zip_derived_cl2358]) ).
thf(zip_derived_cl6513,plain,
aElementOf0 @ sk__32 @ ( sdtpldt0 @ sk__31 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4926,zip_derived_cl5066]) ).
thf(zip_derived_cl266,plain,
! [X4: $i] :
( ( zip_tseitin_26 @ X4 @ sk__31 @ sk__30 )
| ~ ( aElementOf0 @ X4 @ ( sdtpldt0 @ sk__31 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl252,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_25 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_26 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1758,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ sk__31 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) )
| ( zip_tseitin_25 @ X0 @ sk__31 @ sk__30 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl266,zip_derived_cl252]) ).
thf(zip_derived_cl248,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
| ( aElementOf0 @ X1 @ X2 )
| ~ ( zip_tseitin_25 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1760,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ sk__31 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) )
| ( aElementOf0 @ X0 @ sk__31 )
| ( X0
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1758,zip_derived_cl248]) ).
thf(zip_derived_cl6516,plain,
( ( aElementOf0 @ sk__32 @ sk__31 )
| ( sk__32
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6513,zip_derived_cl1760]) ).
thf(zip_derived_cl255_006,plain,
aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) @ ( sdtlpdtrp0 @ xN @ sk__30 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(mZeroLess,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( sdtlseqdt0 @ sz00 @ W0 ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz00 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mZeroLess]) ).
thf(zip_derived_cl254_007,plain,
aElementOf0 @ sk__30 @ szNzAzT0,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(m__3754,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W1 @ W0 )
=> ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ) ).
thf(zip_derived_cl237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ( aElementOf0 @ X2 @ ( sdtlpdtrp0 @ xN @ X1 ) )
| ~ ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[m__3754]) ).
thf(zip_derived_cl4693,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ sk__30 ) )
| ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( sdtlseqdt0 @ X0 @ sk__30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl237]) ).
thf(zip_derived_cl9099,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ sk__30 @ szNzAzT0 )
| ~ ( aElementOf0 @ sz00 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ sz00 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl4693]) ).
thf(zip_derived_cl254_008,plain,
aElementOf0 @ sk__30 @ szNzAzT0,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(mZeroNum,axiom,
aElementOf0 @ sz00 @ szNzAzT0 ).
thf(zip_derived_cl45,plain,
aElementOf0 @ sz00 @ szNzAzT0,
inference(cnf,[status(esa)],[mZeroNum]) ).
thf(m__3623,axiom,
( ( aFunction0 @ xN )
& ( ( szDzozmdt0 @ xN )
= szNzAzT0 )
& ( ( sdtlpdtrp0 @ xN @ sz00 )
= xS )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
| ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W1 @ szNzAzT0 ) )
& ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
=> ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
=> ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( ( W1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
& ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( aElement0 @ W1 ) ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_23: $i > $o ).
thf(zf_stmt_9,axiom,
! [W0: $i] :
( ( zip_tseitin_23 @ W0 )
=> ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W1: $i] : ( zip_tseitin_22 @ W1 @ W0 )
& ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
=> ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_22: $i > $i > $o ).
thf(zf_stmt_11,axiom,
! [W1: $i,W0: $i] :
( ( zip_tseitin_22 @ W1 @ W0 )
=> ( ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( zip_tseitin_21 @ W1 @ W0 ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_21: $i > $i > $o ).
thf(zf_stmt_13,axiom,
! [W1: $i,W0: $i] :
( ( zip_tseitin_21 @ W1 @ W0 )
<=> ( ( aElement0 @ W1 )
& ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( W1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ).
thf(zf_stmt_14,type,
zip_tseitin_20: $i > $o ).
thf(zf_stmt_15,axiom,
! [W0: $i] :
( ( ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W1: $i] : ( zip_tseitin_19 @ W1 @ W0 ) )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) )
=> ( zip_tseitin_20 @ W0 ) ) ).
thf(zf_stmt_16,type,
zip_tseitin_19: $i > $i > $o ).
thf(zf_stmt_17,axiom,
! [W1: $i,W0: $i] :
( ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( zip_tseitin_19 @ W1 @ W0 ) ) ).
thf(zf_stmt_18,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( ( zip_tseitin_20 @ W0 )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
=> ( zip_tseitin_23 @ W0 ) ) )
& ( ( sdtlpdtrp0 @ xN @ sz00 )
= xS )
& ( ( szDzozmdt0 @ xN )
= szNzAzT0 )
& ( aFunction0 @ xN ) ) ).
thf(zip_derived_cl231,plain,
( ( sdtlpdtrp0 @ xN @ sz00 )
= xS ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl9107,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) )
| ( aElementOf0 @ X0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl9099,zip_derived_cl254,zip_derived_cl45,zip_derived_cl231]) ).
thf(zip_derived_cl9131,plain,
aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) @ xS,
inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl9107]) ).
thf(zip_derived_cl9156,plain,
( ( aElementOf0 @ sk__32 @ sk__31 )
| ( aElementOf0 @ sk__32 @ xS ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6516,zip_derived_cl9131]) ).
thf(zip_derived_cl5058_009,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) )
| ~ ( aElementOf0 @ X0 @ sk__31 ) ),
inference(demod,[status(thm)],[zip_derived_cl5053,zip_derived_cl259]) ).
thf(zip_derived_cl257_010,plain,
! [X1: $i] :
( ( zip_tseitin_24 @ X1 @ sk__30 )
| ~ ( aElementOf0 @ X1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl245,plain,
! [X0: $i,X1: $i] :
( ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ X1 ) )
| ~ ( zip_tseitin_24 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl1773,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl257,zip_derived_cl245]) ).
thf(zip_derived_cl5065,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ sk__31 )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5058,zip_derived_cl1773]) ).
thf(zip_derived_cl9107_011,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) )
| ( aElementOf0 @ X0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl9099,zip_derived_cl254,zip_derived_cl45,zip_derived_cl231]) ).
thf(zip_derived_cl9129,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ sk__31 )
| ( aElementOf0 @ X0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5065,zip_derived_cl9107]) ).
thf(zip_derived_cl9284,plain,
aElementOf0 @ sk__32 @ xS,
inference(clc,[status(thm)],[zip_derived_cl9156,zip_derived_cl9129]) ).
thf(zip_derived_cl9285,plain,
( ( sbrdtbr0 @ ( sdtpldt0 @ sk__31 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) ) )
!= xK ),
inference(demod,[status(thm)],[zip_derived_cl264,zip_derived_cl9284]) ).
thf(zip_derived_cl9293,plain,
( ~ ( aSet0 @ sk__31 )
| ~ ( isFinite0 @ sk__31 )
| ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) @ sk__31 )
| ~ ( aElement0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) )
| ( ( szszuzczcdt0 @ ( sbrdtbr0 @ sk__31 ) )
!= xK ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl9285]) ).
thf(zip_derived_cl273_012,plain,
aSet0 @ sk__31,
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl2727_013,plain,
isFinite0 @ sk__31,
inference(demod,[status(thm)],[zip_derived_cl2721,zip_derived_cl210,zip_derived_cl273]) ).
thf(zip_derived_cl5066_014,plain,
~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ) @ sk__31 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5058,zip_derived_cl2358]) ).
thf(zip_derived_cl2479_015,plain,
aElement0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2475,zip_derived_cl44]) ).
thf(zip_derived_cl270_016,plain,
( ( sbrdtbr0 @ sk__31 )
= xk ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl209_017,plain,
( ( szszuzczcdt0 @ xk )
= xK ),
inference(cnf,[status(esa)],[m__3533]) ).
thf(zip_derived_cl9296,plain,
xK != xK,
inference(demod,[status(thm)],[zip_derived_cl9293,zip_derived_cl273,zip_derived_cl2727,zip_derived_cl5066,zip_derived_cl2479,zip_derived_cl270,zip_derived_cl209]) ).
thf(zip_derived_cl9297,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl9296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM579+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FTo7qSfhuB true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 14:18:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.07/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 17.96/3.18 % Solved by fo/fo6_bce.sh.
% 17.96/3.18 % BCE start: 274
% 17.96/3.18 % BCE eliminated: 0
% 17.96/3.18 % PE start: 274
% 17.96/3.18 logic: eq
% 17.96/3.18 % PE eliminated: 25
% 17.96/3.18 % done 1003 iterations in 2.395s
% 17.96/3.18 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 17.96/3.18 % SZS output start Refutation
% See solution above
% 17.96/3.18
% 17.96/3.18
% 17.96/3.18 % Terminating...
% 18.27/3.25 % Runner terminated.
% 18.27/3.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------