TSTP Solution File: NUM629+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM629+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.KeXaoRu8up true
% Computer : n014.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 12:42:52 EDT 2023
% Result : Theorem 29.74s 4.86s
% Output : Refutation 29.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 60
% Syntax : Number of formulae : 114 ( 33 unt; 42 typ; 0 def)
% Number of atoms : 194 ( 30 equ; 0 cnn)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 750 ( 37 ~; 36 |; 52 &; 591 @)
% ( 4 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 41 >; 0 *; 0 +; 0 <<)
% Number of symbols : 39 ( 37 usr; 16 con; 0-2 aty)
% Number of variables : 53 ( 0 ^; 53 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $i > $i > $o ).
thf(szDzizrdt0_type,type,
szDzizrdt0: $i > $i ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(aFunction0_type,type,
aFunction0: $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xe_type,type,
xe: $i ).
thf(xO_type,type,
xO: $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(sdtlbdtrb0_type,type,
sdtlbdtrb0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xS_type,type,
xS: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $i > $o ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(xQ_type,type,
xQ: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xp_type,type,
xp: $i ).
thf(xP_type,type,
xP: $i ).
thf(xd_type,type,
xd: $i ).
thf(zip_tseitin_21_type,type,
zip_tseitin_21: $i > $i > $o ).
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(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(zip_tseitin_20_type,type,
zip_tseitin_20: $i > $o ).
thf(xD_type,type,
xD: $i ).
thf(xn_type,type,
xn: $i ).
thf(m__,conjecture,
( ( aElementOf0 @ xP @ ( slbdtsldtrb0 @ xD @ xk ) )
| ( aSubsetOf0 @ xP @ xD )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ xP )
=> ( aElementOf0 @ W0 @ xD ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( aElementOf0 @ xP @ ( slbdtsldtrb0 @ xD @ xk ) )
| ( aSubsetOf0 @ xP @ xD )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ xP )
=> ( aElementOf0 @ W0 @ xD ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl487,plain,
~ ( aElementOf0 @ sk__47 @ xD ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mDiffCons,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aSet0 @ W1 ) )
=> ( ~ ( aElementOf0 @ W0 @ W1 )
=> ( ( sdtmndt0 @ ( sdtpldt0 @ W1 @ W0 ) @ W0 )
= W1 ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 )
| ( ( sdtmndt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X0 )
= X1 )
| ( aElementOf0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDiffCons]) ).
thf(zip_derived_cl488,plain,
aElementOf0 @ sk__47 @ xP,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__5334,axiom,
( ( aSubsetOf0 @ xP @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xP )
=> ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ) ) ).
thf(zip_derived_cl478,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
| ~ ( aElementOf0 @ X0 @ xP ) ),
inference(cnf,[status(esa)],[m__5334]) ).
thf(zip_derived_cl3258,plain,
aElementOf0 @ sk__47 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl478]) ).
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_1,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(zip_derived_cl226,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X1 ) ) )
| ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) ) ) )
| ~ ( zip_tseitin_23 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9603,plain,
( ~ ( zip_tseitin_23 @ xn )
| ( aElementOf0 @ sk__47 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3258,zip_derived_cl226]) ).
thf(m__5309,axiom,
( ( ( sdtlpdtrp0 @ xe @ xn )
= xp )
& ( aElementOf0 @ xn @ szNzAzT0 )
& ( aElementOf0 @ xn @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
& ( ( sdtlpdtrp0 @ xd @ xn )
= ( szDzizrdt0 @ xd ) )
& ( aElementOf0 @ xn @ ( szDzozmdt0 @ xd ) ) ) ).
thf(zip_derived_cl473,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(m__4660,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aElementOf0 @ ( sdtlpdtrp0 @ xe @ W0 ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xe @ W0 ) @ W1 ) )
& ( ( sdtlpdtrp0 @ xe @ W0 )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( ( szDzozmdt0 @ xe )
= szNzAzT0 )
& ( aFunction0 @ xe ) ) ).
thf(zip_derived_cl401,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xe @ X0 )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__4660]) ).
thf(zip_derived_cl8467,plain,
( ( sdtlpdtrp0 @ xe @ xn )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl401]) ).
thf(zip_derived_cl472,plain,
( ( sdtlpdtrp0 @ xe @ xn )
= xp ),
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl8487,plain,
( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8467,zip_derived_cl472]) ).
thf(zip_derived_cl9614,plain,
( ~ ( zip_tseitin_23 @ xn )
| ( aElementOf0 @ sk__47 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9603,zip_derived_cl8487]) ).
thf(zip_derived_cl473_001,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zf_stmt_2,type,
zip_tseitin_23: $i > $o ).
thf(zf_stmt_3,type,
zip_tseitin_22: $i > $i > $o ).
thf(zf_stmt_4,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_5,type,
zip_tseitin_21: $i > $i > $o ).
thf(zf_stmt_6,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_7,type,
zip_tseitin_20: $i > $o ).
thf(zf_stmt_8,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_9,type,
zip_tseitin_19: $i > $i > $o ).
thf(zf_stmt_10,axiom,
! [W1: $i,W0: $i] :
( ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( zip_tseitin_19 @ W1 @ W0 ) ) ).
thf(zf_stmt_11,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_11]) ).
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_cl236,plain,
! [X0: $i] :
( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl7001,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( zip_tseitin_23 @ X0 )
| ~ ( zip_tseitin_20 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl232,zip_derived_cl236]) ).
thf(zip_derived_cl7021,plain,
( ~ ( zip_tseitin_20 @ xn )
| ( zip_tseitin_23 @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl7001]) ).
thf(zip_derived_cl473_002,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl235,plain,
! [X0: $i] :
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl2192,plain,
aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl235]) ).
thf(zip_derived_cl214,plain,
! [X0: $i] :
( ( zip_tseitin_20 @ X0 )
| ~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl12023,plain,
zip_tseitin_20 @ xn,
inference('sup-',[status(thm)],[zip_derived_cl2192,zip_derived_cl214]) ).
thf(zip_derived_cl12045,plain,
zip_tseitin_23 @ xn,
inference(demod,[status(thm)],[zip_derived_cl7021,zip_derived_cl12023]) ).
thf(zip_derived_cl12047,plain,
aElementOf0 @ sk__47 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ xp ),
inference(demod,[status(thm)],[zip_derived_cl9614,zip_derived_cl12045]) ).
thf(zip_derived_cl473_003,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl399,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sdtlpdtrp0 @ xe @ X0 ) @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__4660]) ).
thf(zip_derived_cl7092,plain,
aElementOf0 @ ( sdtlpdtrp0 @ xe @ xn ) @ ( sdtlpdtrp0 @ xN @ xn ),
inference('sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl399]) ).
thf(zip_derived_cl472_004,plain,
( ( sdtlpdtrp0 @ xe @ xn )
= xp ),
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl7109,plain,
aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xn ),
inference(demod,[status(thm)],[zip_derived_cl7092,zip_derived_cl472]) ).
thf(mConsDiff,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( ( sdtpldt0 @ ( sdtmndt0 @ W0 @ W1 ) @ W1 )
= W0 ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( ( sdtpldt0 @ ( sdtmndt0 @ X1 @ X0 ) @ X0 )
= X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mConsDiff]) ).
thf(zip_derived_cl22912,plain,
( ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xn ) )
| ( ( sdtpldt0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ xp ) @ xp )
= ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7109,zip_derived_cl37]) ).
thf(zip_derived_cl473_005,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl233,plain,
! [X0: $i] :
( ( aSet0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl1408,plain,
aSet0 @ ( sdtlpdtrp0 @ xN @ xn ),
inference('sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl233]) ).
thf(m__5585,axiom,
( ( xD
= ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xD )
<=> ( ( aElement0 @ W0 )
& ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
& ( W0
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) )
& ( aSet0 @ xD )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ W0 ) ) ) ).
thf(zip_derived_cl486,plain,
( xD
= ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ),
inference(cnf,[status(esa)],[m__5585]) ).
thf(zip_derived_cl8487_006,plain,
( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8467,zip_derived_cl472]) ).
thf(zip_derived_cl22681,plain,
( xD
= ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl486,zip_derived_cl8487]) ).
thf(zip_derived_cl22941,plain,
( ( sdtpldt0 @ xD @ xp )
= ( sdtlpdtrp0 @ xN @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl22912,zip_derived_cl1408,zip_derived_cl22681]) ).
thf(zip_derived_cl24167,plain,
aElementOf0 @ sk__47 @ ( sdtmndt0 @ ( sdtpldt0 @ xD @ xp ) @ xp ),
inference(demod,[status(thm)],[zip_derived_cl12047,zip_derived_cl22941]) ).
thf(zip_derived_cl24177,plain,
( ( aElementOf0 @ sk__47 @ xD )
| ( aElementOf0 @ xp @ xD )
| ~ ( aSet0 @ xD )
| ~ ( aElement0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl24167]) ).
thf(zip_derived_cl485,plain,
! [X0: $i] :
( ( X0
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) )
| ~ ( aElementOf0 @ X0 @ xD ) ),
inference(cnf,[status(esa)],[m__5585]) ).
thf(zip_derived_cl1339,plain,
~ ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ xD ),
inference(eq_res,[status(thm)],[zip_derived_cl485]) ).
thf(zip_derived_cl8487_007,plain,
( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8467,zip_derived_cl472]) ).
thf(zip_derived_cl8545,plain,
~ ( aElementOf0 @ xp @ xD ),
inference(demod,[status(thm)],[zip_derived_cl1339,zip_derived_cl8487]) ).
thf(zip_derived_cl481,plain,
aSet0 @ xD,
inference(cnf,[status(esa)],[m__5585]) ).
thf(m__5147,axiom,
( ( xp
= ( szmzizndt0 @ xQ ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xQ )
=> ( sdtlseqdt0 @ xp @ W0 ) )
& ( aElementOf0 @ xp @ xQ ) ) ).
thf(zip_derived_cl453,plain,
aElementOf0 @ xp @ xQ,
inference(cnf,[status(esa)],[m__5147]) ).
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_cl543,plain,
( ~ ( aSet0 @ xQ )
| ( aElement0 @ xp ) ),
inference('sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl2]) ).
thf(m__5078,axiom,
( ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xO @ xK ) )
& ( ( sbrdtbr0 @ xQ )
= xK )
& ( aSubsetOf0 @ xQ @ xO )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xQ )
=> ( aElementOf0 @ W0 @ xO ) )
& ( aSet0 @ xQ ) ) ).
thf(zip_derived_cl439,plain,
aSet0 @ xQ,
inference(cnf,[status(esa)],[m__5078]) ).
thf(zip_derived_cl544,plain,
aElement0 @ xp,
inference(demod,[status(thm)],[zip_derived_cl543,zip_derived_cl439]) ).
thf(zip_derived_cl24178,plain,
aElementOf0 @ sk__47 @ xD,
inference(demod,[status(thm)],[zip_derived_cl24177,zip_derived_cl8545,zip_derived_cl481,zip_derived_cl544]) ).
thf(zip_derived_cl24182,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl487,zip_derived_cl24178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM629+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KeXaoRu8up true
% 0.12/0.34 % Computer : n014.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 : 300
% 0.12/0.34 % DateTime : Fri Aug 25 09:16:18 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
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 29.74/4.86 % Solved by fo/fo5.sh.
% 29.74/4.86 % done 4916 iterations in 4.089s
% 29.74/4.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 29.74/4.86 % SZS output start Refutation
% See solution above
% 29.74/4.86
% 29.74/4.86
% 29.74/4.86 % Terminating...
% 30.23/4.96 % Runner terminated.
% 30.23/4.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------