TSTP Solution File: NUM581+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM581+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LsH03OGyDq true
% Computer : n023.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 12:42:31 EDT 2023
% Result : Theorem 7.99s 1.69s
% Output : Refutation 7.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 53
% Syntax : Number of formulae : 85 ( 12 unt; 36 typ; 0 def)
% Number of atoms : 192 ( 15 equ; 0 cnn)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 893 ( 36 ~; 43 |; 56 &; 714 @)
% ( 9 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 30 usr; 10 con; 0-2 aty)
% Number of variables : 60 ( 0 ^; 60 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_21_type,type,
zip_tseitin_21: $i > $i > $o ).
thf(zip_tseitin_20_type,type,
zip_tseitin_20: $i > $o ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
thf(aFunction0_type,type,
aFunction0: $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xi_type,type,
xi: $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_19_type,type,
zip_tseitin_19: $i > $i > $o ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xS_type,type,
xS: $i ).
thf(zip_tseitin_24_type,type,
zip_tseitin_24: $i > $o ).
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__30_type,type,
sk__30: $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $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(zip_tseitin_23_type,type,
zip_tseitin_23: $i > $o ).
thf(xN_type,type,
xN: $i ).
thf(zip_tseitin_22_type,type,
zip_tseitin_22: $i > $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xQ_type,type,
xQ: $i ).
thf(m__,conjecture,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ) )
=> ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( ( ( W0
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
| ( aElementOf0 @ W0 @ xQ ) )
& ( aElement0 @ W0 ) ) )
& ( aSet0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
=> ( ( aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xS )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( aElementOf0 @ W0 @ xS ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_24: $i > $o ).
thf(zf_stmt_1,axiom,
! [W0: $i] :
( ( zip_tseitin_24 @ W0 )
<=> ( ( aElement0 @ W0 )
& ( ( aElementOf0 @ W0 @ xQ )
| ( W0
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) ).
thf(zf_stmt_2,conjecture,
( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) )
=> ( ( ( aSet0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( zip_tseitin_24 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( aElementOf0 @ W0 @ xS ) )
| ( aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xS ) ) ) ) ).
thf(zf_stmt_3,negated_conjecture,
~ ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) )
=> ( ( ( aSet0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( zip_tseitin_24 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( aElementOf0 @ W0 @ xS ) )
| ( aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xS ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl272,plain,
~ ( aElementOf0 @ sk__30 @ xS ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl273,plain,
aElementOf0 @ sk__30 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(m__4007,axiom,
( ( ( sbrdtbr0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
= xK )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( ( aElement0 @ W0 )
& ( ( aElementOf0 @ W0 @ xQ )
| ( W0
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) )
& ( aSet0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ).
thf(zip_derived_cl263,plain,
! [X0: $i] :
( ( X0
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
| ( aElementOf0 @ X0 @ xQ )
| ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ),
inference(cnf,[status(esa)],[m__4007]) ).
thf(zip_derived_cl2415,plain,
( ( sk__30
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
| ( aElementOf0 @ sk__30 @ xQ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl263]) ).
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_4,axiom,
! [W0: $i] :
( ( ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W1: $i] : ( zip_tseitin_19 @ W1 @ W0 ) )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) )
=> ( zip_tseitin_20 @ W0 ) ) ).
thf(zip_derived_cl214,plain,
! [X0: $i] :
( ( zip_tseitin_20 @ X0 )
| ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zf_stmt_5,type,
zip_tseitin_23: $i > $o ).
thf(zf_stmt_6,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_7,type,
zip_tseitin_22: $i > $i > $o ).
thf(zf_stmt_8,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_9,type,
zip_tseitin_21: $i > $i > $o ).
thf(zf_stmt_10,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_11,type,
zip_tseitin_20: $i > $o ).
thf(zf_stmt_12,type,
zip_tseitin_19: $i > $i > $o ).
thf(zf_stmt_13,axiom,
! [W1: $i,W0: $i] :
( ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( zip_tseitin_19 @ W1 @ W0 ) ) ).
thf(zf_stmt_14,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_cl232,plain,
! [X0: $i] :
( ~ ( zip_tseitin_20 @ X0 )
| ~ ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ( zip_tseitin_23 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl1759,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( zip_tseitin_23 @ X0 )
| ~ ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl214,zip_derived_cl232]) ).
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(zip_derived_cl5085,plain,
! [X0: $i] :
( ~ ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ( zip_tseitin_23 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1759,zip_derived_cl235]) ).
thf(zip_derived_cl236,plain,
! [X0: $i] :
( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl5086,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( zip_tseitin_23 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl5085,zip_derived_cl236]) ).
thf(zip_derived_cl221,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( zip_tseitin_23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl5087,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) @ ( sdtlpdtrp0 @ xN @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5086,zip_derived_cl221]) ).
thf(zip_derived_cl5132,plain,
( ( aElementOf0 @ sk__30 @ xQ )
| ~ ( aElementOf0 @ xi @ szNzAzT0 )
| ( aElementOf0 @ sk__30 @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2415,zip_derived_cl5087]) ).
thf(m__3989,axiom,
aElementOf0 @ xi @ szNzAzT0 ).
thf(zip_derived_cl244,plain,
aElementOf0 @ xi @ szNzAzT0,
inference(cnf,[status(esa)],[m__3989]) ).
thf(zip_derived_cl5137,plain,
( ( aElementOf0 @ sk__30 @ xQ )
| ( aElementOf0 @ sk__30 @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5132,zip_derived_cl244]) ).
thf(m__3989_02,axiom,
( ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xk ) )
& ( ( sbrdtbr0 @ xQ )
= xk )
& ( aSubsetOf0 @ xQ @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xQ )
=> ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
& ( aSet0 @ xQ )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( ( aElement0 @ W0 )
& ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
& ( W0
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ).
thf(zip_derived_cl253,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
| ~ ( aElementOf0 @ X0 @ xQ ) ),
inference(cnf,[status(esa)],[m__3989_02]) ).
thf(zip_derived_cl250,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xi ) )
| ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ),
inference(cnf,[status(esa)],[m__3989_02]) ).
thf(zip_derived_cl4483,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xQ )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl250]) ).
thf(zip_derived_cl5618,plain,
aElementOf0 @ sk__30 @ ( sdtlpdtrp0 @ xN @ xi ),
inference(clc,[status(thm)],[zip_derived_cl5137,zip_derived_cl4483]) ).
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_cl244_001,plain,
aElementOf0 @ xi @ szNzAzT0,
inference(cnf,[status(esa)],[m__3989]) ).
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_cl4321,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ xi ) )
| ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( sdtlseqdt0 @ X0 @ xi ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl237]) ).
thf(zip_derived_cl5849,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ xi @ szNzAzT0 )
| ~ ( aElementOf0 @ sz00 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xi ) )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ sz00 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl4321]) ).
thf(zip_derived_cl244_002,plain,
aElementOf0 @ xi @ szNzAzT0,
inference(cnf,[status(esa)],[m__3989]) ).
thf(mZeroNum,axiom,
aElementOf0 @ sz00 @ szNzAzT0 ).
thf(zip_derived_cl45,plain,
aElementOf0 @ sz00 @ szNzAzT0,
inference(cnf,[status(esa)],[mZeroNum]) ).
thf(zip_derived_cl231,plain,
( ( sdtlpdtrp0 @ xN @ sz00 )
= xS ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl5857,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xi ) )
| ( aElementOf0 @ X0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl5849,zip_derived_cl244,zip_derived_cl45,zip_derived_cl231]) ).
thf(zip_derived_cl5938,plain,
aElementOf0 @ sk__30 @ xS,
inference('s_sup-',[status(thm)],[zip_derived_cl5618,zip_derived_cl5857]) ).
thf(zip_derived_cl5957,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl5938]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM581+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LsH03OGyDq true
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Aug 25 12:17:27 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.52/0.63 % Total configuration time : 435
% 0.52/0.63 % Estimated wc time : 1092
% 0.52/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.99/1.69 % Solved by fo/fo6_bce.sh.
% 7.99/1.69 % BCE start: 277
% 7.99/1.69 % BCE eliminated: 0
% 7.99/1.69 % PE start: 277
% 7.99/1.69 logic: eq
% 7.99/1.69 % PE eliminated: 21
% 7.99/1.69 % done 740 iterations in 0.981s
% 7.99/1.69 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.99/1.69 % SZS output start Refutation
% See solution above
% 7.99/1.70
% 7.99/1.70
% 7.99/1.70 % Terminating...
% 7.99/1.77 % Runner terminated.
% 7.99/1.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------