%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL951^24 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nQJCAZpuRg true
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:37:39 PM UTC 2026
% Result : Theorem 4.28s 1.18s
% Output : Refutation 4.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 91 ( 39 unt; 0 typ; 0 def)
% Number of atoms : 307 ( 15 equ; 0 cnn)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 1014 ( 78 ~; 60 |; 16 &; 786 @)
% ( 0 <=>; 74 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 9 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 36 ( 34 usr; 8 con; 0-5 aty)
% Number of variables : 327 ( 36 ^; 291 !; 0 ?; 327 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $i > mworld > $i > $i > $o ).
thf(sk__24_type,type,
sk__24: mworld ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__33_type,type,
sk__33: mworld > $i > mworld ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: mworld > $i > $i > $i > $o ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: mworld > mworld > $i > $o ).
thf(sk__23_type,type,
sk__23: $i ).
thf(sk__22_type,type,
sk__22: mworld ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(sk__27_type,type,
sk__27: mworld > mworld ).
thf(sk__32_type,type,
sk__32: mworld > $i > $i > mworld ).
thf(mactual_type,type,
mactual: mworld ).
thf(sk__26_type,type,
sk__26: mworld > $i > mworld ).
thf(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: mworld > mworld > $i > $i > $o ).
thf(sk__28_type,type,
sk__28: mworld > mworld ).
thf(sk__21_type,type,
sk__21: $i ).
thf(in_type,type,
in: $i > $i > mworld > $o ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: mworld > mworld > $i > $i > $o ).
thf(mnot_type,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(qmltpeq_type,type,
qmltpeq: $i > $i > mworld > $o ).
thf(sk__20_type,type,
sk__20: mworld ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: mworld > $i > mworld > $i > $i > $o ).
thf(sk__34_type,type,
sk__34: mworld > $i > $i > mworld ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(sk__29_type,type,
sk__29: mworld > $i > $i > mworld ).
thf(eiw_di_type,type,
eiw_di: $i > mworld > $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: mworld > mworld > $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__25_type,type,
sk__25: mworld > $i > mworld ).
thf(sk__31_type,type,
sk__31: $i > $i > mworld > $i ).
thf(sk__30_type,type,
sk__30: $i > $i > mworld > $i > mworld ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ) ).
thf('0',plain,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_di_def]) ).
thf('1',plain,
( mforall_di
= ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
! [X4: $i] :
( ( eiw_di @ X4 @ V_2 )
=> ( V_1 @ X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ) ).
thf('2',plain,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).
thf('3',plain,
( mbox
= ( ^ [V_1: mworld > $o,V_2: mworld] :
! [X4: mworld] :
( ( mrel @ V_2 @ X4 )
=> ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mand_def,axiom,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ) ).
thf('4',plain,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand_def]) ).
thf('5',plain,
( mand
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mnot_def,axiom,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ) ).
thf('6',plain,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot_def]) ).
thf('7',plain,
( mnot
= ( ^ [V_1: mworld > $o,V_2: mworld] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
thf('8',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('9',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(l45_zfmisc_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mnot
@ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ A @ ( singleton @ B ) ) ) ) )
@ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ A @ empty_set ) ) ) )
@ ( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ C @ A ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ C @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i] :
( ( eiw_di @ X6 @ X4 )
=> ! [X8: mworld] :
( ( mrel @ X4 @ X8 )
=> ! [X10: $i] :
( ( eiw_di @ X10 @ X8 )
=> ! [X12: mworld] :
( ( mrel @ X8 @ X12 )
=> ~ ( ! [X22: mworld] :
( ( mrel @ X12 @ X22 )
=> ! [X24: $i] :
( ( eiw_di @ X24 @ X22 )
=> ! [X26: mworld] :
( ( mrel @ X22 @ X26 )
=> ~ ( ! [X30: mworld] :
( ( mrel @ X26 @ X30 )
=> ~ ! [X32: mworld] :
( ( mrel @ X30 @ X32 )
=> ( qmltpeq @ X24 @ X10 @ X32 ) ) )
& ! [X28: mworld] :
( ( mrel @ X26 @ X28 )
=> ( in @ X24 @ X6 @ X28 ) ) ) ) ) )
& ! [X18: mworld] :
( ( mrel @ X12 @ X18 )
=> ~ ! [X20: mworld] :
( ( mrel @ X18 @ X20 )
=> ( qmltpeq @ X6 @ empty_set @ X20 ) ) )
& ! [X14: mworld] :
( ( mrel @ X12 @ X14 )
=> ~ ! [X16: mworld] :
( ( mrel @ X14 @ X16 )
=> ( qmltpeq @ X6 @ ( singleton @ X10 ) @ X16 ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [X24: $i,X22: mworld,X10: $i,X6: $i] :
( ( ( eiw_di @ X24 @ X22 )
=> ! [X26: mworld] : ( zip_tseitin_12 @ X26 @ X24 @ X22 @ X10 @ X6 ) )
=> ( zip_tseitin_13 @ X24 @ X22 @ X10 @ X6 ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: mworld,X2: $i,X3: $i] :
( ( zip_tseitin_13 @ X0 @ X1 @ X2 @ X3 )
| ~ ( zip_tseitin_12 @ ( sk__30 @ X3 @ X2 @ X1 @ X0 ) @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,axiom,
! [X26: mworld,X24: $i,X22: mworld,X10: $i,X6: $i] :
( ( ( mrel @ X22 @ X26 )
=> ~ ( zip_tseitin_11 @ X26 @ X24 @ X10 @ X6 ) )
=> ( zip_tseitin_12 @ X26 @ X24 @ X22 @ X10 @ X6 ) ) ).
thf(zip_derived_cl56,plain,
! [X0: mworld,X1: $i,X2: mworld,X3: $i,X4: $i] :
( ( zip_tseitin_12 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( zip_tseitin_11 @ X0 @ X1 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl275,plain,
! [X0: $i,X1: $i,X2: mworld,X3: $i] :
( ( zip_tseitin_13 @ X3 @ X2 @ X1 @ X0 )
| ( zip_tseitin_11 @ ( sk__30 @ X0 @ X1 @ X2 @ X3 ) @ X3 @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl58,zip_derived_cl56]) ).
thf(zip_derived_cl275_001,plain,
! [X0: $i,X1: $i,X2: mworld,X3: $i] :
( ( zip_tseitin_13 @ X3 @ X2 @ X1 @ X0 )
| ( zip_tseitin_11 @ ( sk__30 @ X0 @ X1 @ X2 @ X3 ) @ X3 @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl58,zip_derived_cl56]) ).
thf(zf_stmt_3,axiom,
! [X26: mworld,X24: $i,X10: $i,X6: $i] :
( ( zip_tseitin_11 @ X26 @ X24 @ X10 @ X6 )
=> ( ! [X28: mworld] :
( ( mrel @ X26 @ X28 )
=> ( in @ X24 @ X6 @ X28 ) )
& ! [X30: mworld] :
( ( mrel @ X26 @ X30 )
=> ~ ! [X32: mworld] : ( zip_tseitin_10 @ X32 @ X30 @ X24 @ X10 ) ) ) ) ).
thf(zip_derived_cl54,plain,
! [X0: mworld,X1: mworld,X2: $i,X3: $i,X4: $i] :
( ~ ( mrel @ X0 @ X1 )
| ( in @ X2 @ X3 @ X1 )
| ~ ( zip_tseitin_11 @ X0 @ X2 @ X4 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(mrel_universal,axiom,
! [W: mworld,V: mworld] : ( mrel @ W @ V ) ).
thf(zip_derived_cl0,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl148,plain,
! [X0: mworld,X1: mworld,X2: $i,X3: $i,X4: $i] :
( ( in @ X2 @ X3 @ X1 )
| ~ ( zip_tseitin_11 @ X0 @ X2 @ X4 @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl0]) ).
thf(zip_derived_cl332,plain,
! [X0: $i,X1: $i,X2: $i,X3: mworld,X4: mworld] :
( ( zip_tseitin_13 @ X2 @ X3 @ X1 @ X0 )
| ( in @ X2 @ X0 @ X4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl148]) ).
thf(zf_stmt_4,axiom,
! [X22: mworld,X12: mworld,X10: $i,X6: $i] :
( ( ( mrel @ X12 @ X22 )
=> ! [X24: $i] : ( zip_tseitin_13 @ X24 @ X22 @ X10 @ X6 ) )
=> ( zip_tseitin_14 @ X22 @ X12 @ X10 @ X6 ) ) ).
thf(zip_derived_cl60,plain,
! [X0: mworld,X1: mworld,X2: $i,X3: $i] :
( ( zip_tseitin_14 @ X0 @ X1 @ X2 @ X3 )
| ~ ( zip_tseitin_13 @ ( sk__31 @ X3 @ X2 @ X0 ) @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl352,plain,
! [X0: $i,X1: $i,X2: mworld,X3: mworld,X4: mworld] :
( ( in @ ( sk__31 @ X0 @ X1 @ X2 ) @ X0 @ X4 )
| ( zip_tseitin_14 @ X2 @ X3 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl60]) ).
thf(t41_zfmisc_1,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mnot
@ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ A @ ( singleton @ B ) ) ) ) )
@ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ A @ empty_set ) ) ) )
@ ( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ C @ A ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ C @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_5,conjecture,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i] :
( ( eiw_di @ X6 @ X4 )
=> ! [X8: mworld] :
( ( mrel @ X4 @ X8 )
=> ! [X10: $i] :
( ( eiw_di @ X10 @ X8 )
=> ! [X12: mworld] :
( ( mrel @ X8 @ X12 )
=> ~ ( ! [X14: mworld] :
( ( mrel @ X12 @ X14 )
=> ~ ! [X16: mworld] :
( ( mrel @ X14 @ X16 )
=> ( qmltpeq @ X6 @ ( singleton @ X10 ) @ X16 ) ) )
& ! [X18: mworld] :
( ( mrel @ X12 @ X18 )
=> ~ ! [X20: mworld] :
( ( mrel @ X18 @ X20 )
=> ( qmltpeq @ X6 @ empty_set @ X20 ) ) )
& ! [X22: mworld] :
( ( mrel @ X12 @ X22 )
=> ! [X24: $i] :
( ( eiw_di @ X24 @ X22 )
=> ! [X26: mworld] :
( ( mrel @ X22 @ X26 )
=> ~ ( ! [X28: mworld] :
( ( mrel @ X26 @ X28 )
=> ( in @ X24 @ X6 @ X28 ) )
& ! [X30: mworld] :
( ( mrel @ X26 @ X30 )
=> ~ ! [X32: mworld] :
( ( mrel @ X30 @ X32 )
=> ( qmltpeq @ X24 @ X10 @ X32 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_6,negated_conjecture,
~ ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i] :
( ( eiw_di @ X6 @ X4 )
=> ! [X8: mworld] :
( ( mrel @ X4 @ X8 )
=> ! [X10: $i] :
( ( eiw_di @ X10 @ X8 )
=> ! [X12: mworld] :
( ( mrel @ X8 @ X12 )
=> ~ ( ! [X14: mworld] :
( ( mrel @ X12 @ X14 )
=> ~ ! [X16: mworld] :
( ( mrel @ X14 @ X16 )
=> ( qmltpeq @ X6 @ ( singleton @ X10 ) @ X16 ) ) )
& ! [X18: mworld] :
( ( mrel @ X12 @ X18 )
=> ~ ! [X20: mworld] :
( ( mrel @ X18 @ X20 )
=> ( qmltpeq @ X6 @ empty_set @ X20 ) ) )
& ! [X22: mworld] :
( ( mrel @ X12 @ X22 )
=> ! [X24: $i] :
( ( eiw_di @ X24 @ X22 )
=> ! [X26: mworld] :
( ( mrel @ X22 @ X26 )
=> ~ ( ! [X28: mworld] :
( ( mrel @ X26 @ X28 )
=> ( in @ X24 @ X6 @ X28 ) )
& ! [X30: mworld] :
( ( mrel @ X26 @ X30 )
=> ~ ! [X32: mworld] :
( ( mrel @ X30 @ X32 )
=> ( qmltpeq @ X24 @ X10 @ X32 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl48,plain,
! [X2: $i,X3: mworld,X4: mworld,X5: mworld] :
( ~ ( eiw_di @ X2 @ X3 )
| ~ ( mrel @ ( sk__25 @ X4 @ X2 ) @ X5 )
| ( qmltpeq @ X2 @ sk__23 @ X5 )
| ~ ( in @ X2 @ sk__21 @ ( sk__26 @ X4 @ X2 ) )
| ~ ( mrel @ X3 @ X4 )
| ~ ( mrel @ sk__24 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl0_002,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl0_003,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl0_004,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl279,plain,
! [X2: $i,X3: mworld,X4: mworld,X5: mworld] :
( ~ ( eiw_di @ X2 @ X3 )
| ( qmltpeq @ X2 @ sk__23 @ X5 )
| ~ ( in @ X2 @ sk__21 @ ( sk__26 @ X4 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl1080,plain,
! [X0: mworld,X1: $i,X3: mworld,X4: mworld,X5: mworld] :
( ( zip_tseitin_14 @ X0 @ X5 @ X1 @ sk__21 )
| ( qmltpeq @ ( sk__31 @ sk__21 @ X1 @ X0 ) @ sk__23 @ X3 )
| ~ ( eiw_di @ ( sk__31 @ sk__21 @ X1 @ X0 ) @ X4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl279]) ).
thf(zip_derived_cl60_005,plain,
! [X0: mworld,X1: mworld,X2: $i,X3: $i] :
( ( zip_tseitin_14 @ X0 @ X1 @ X2 @ X3 )
| ~ ( zip_tseitin_13 @ ( sk__31 @ X3 @ X2 @ X0 ) @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: mworld,X2: $i,X3: $i] :
( ( zip_tseitin_13 @ X0 @ X1 @ X2 @ X3 )
| ( eiw_di @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl171,plain,
! [X0: $i,X1: $i,X2: mworld,X3: mworld] :
( ( zip_tseitin_14 @ X2 @ X3 @ X1 @ X0 )
| ( eiw_di @ ( sk__31 @ X0 @ X1 @ X2 ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl60,zip_derived_cl59]) ).
thf(eiw_di_decr,axiom,
! [W: mworld,V: mworld,X: $i] :
( ( ( eiw_di @ X @ W )
& ( mrel @ V @ W ) )
=> ( eiw_di @ X @ V ) ) ).
thf(zip_derived_cl2,plain,
! [X0: mworld,X1: mworld,X2: $i] :
( ~ ( mrel @ X0 @ X1 )
| ~ ( eiw_di @ X2 @ X1 )
| ( eiw_di @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[eiw_di_decr]) ).
thf(zip_derived_cl0_006,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl70,plain,
! [X0: mworld,X1: mworld,X2: $i] :
( ~ ( eiw_di @ X2 @ X1 )
| ( eiw_di @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl303,plain,
! [X0: mworld,X1: $i,X2: $i,X3: mworld,X4: mworld] :
( ( zip_tseitin_14 @ X0 @ X4 @ X1 @ X2 )
| ( eiw_di @ ( sk__31 @ X2 @ X1 @ X0 ) @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl70]) ).
thf(zip_derived_cl1209,plain,
! [X0: mworld,X1: $i,X3: mworld,X5: mworld] :
( ( qmltpeq @ ( sk__31 @ sk__21 @ X1 @ X0 ) @ sk__23 @ X3 )
| ( zip_tseitin_14 @ X0 @ X5 @ X1 @ sk__21 ) ),
inference(clc,[status(thm)],[zip_derived_cl1080,zip_derived_cl303]) ).
thf(zf_stmt_7,axiom,
! [X32: mworld,X30: mworld,X24: $i,X10: $i] :
( ( ( mrel @ X30 @ X32 )
=> ( qmltpeq @ X24 @ X10 @ X32 ) )
=> ( zip_tseitin_10 @ X32 @ X30 @ X24 @ X10 ) ) ).
thf(zip_derived_cl52,plain,
! [X0: mworld,X1: mworld,X2: $i,X3: $i] :
( ( zip_tseitin_10 @ X0 @ X1 @ X2 @ X3 )
| ~ ( qmltpeq @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl55,plain,
! [X0: mworld,X1: mworld,X2: $i,X3: $i,X4: $i] :
( ~ ( mrel @ X0 @ X1 )
| ~ ( zip_tseitin_10 @ ( sk__29 @ X1 @ X2 @ X3 ) @ X1 @ X3 @ X2 )
| ~ ( zip_tseitin_11 @ X0 @ X3 @ X2 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl0_007,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl160,plain,
! [X0: mworld,X1: mworld,X2: $i,X3: $i,X4: $i] :
( ~ ( zip_tseitin_10 @ ( sk__29 @ X1 @ X2 @ X3 ) @ X1 @ X3 @ X2 )
| ~ ( zip_tseitin_11 @ X0 @ X3 @ X2 @ X4 ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl0]) ).
thf(zip_derived_cl161,plain,
! [X0: $i,X1: $i,X2: mworld,X3: $i,X4: mworld] :
( ~ ( qmltpeq @ X1 @ X0 @ ( sk__29 @ X2 @ X0 @ X1 ) )
| ~ ( zip_tseitin_11 @ X4 @ X1 @ X0 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl160]) ).
thf(zip_derived_cl1214,plain,
! [X0: mworld,X1: $i,X3: $i,X4: mworld,X5: mworld] :
( ( zip_tseitin_14 @ X0 @ X5 @ X1 @ sk__21 )
| ~ ( zip_tseitin_11 @ X4 @ ( sk__31 @ sk__21 @ X1 @ X0 ) @ sk__23 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1209,zip_derived_cl161]) ).
thf(zip_derived_cl1238,plain,
! [X0: $i,X1: mworld,X2: $i,X3: mworld,X4: mworld] :
( ( zip_tseitin_13 @ ( sk__31 @ sk__21 @ X2 @ X1 ) @ X3 @ sk__23 @ X0 )
| ( zip_tseitin_14 @ X1 @ X4 @ X2 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl1214]) ).
thf(zip_derived_cl60_008,plain,
! [X0: mworld,X1: mworld,X2: $i,X3: $i] :
( ( zip_tseitin_14 @ X0 @ X1 @ X2 @ X3 )
| ~ ( zip_tseitin_13 @ ( sk__31 @ X3 @ X2 @ X0 ) @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1327,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ( zip_tseitin_14 @ X0 @ X2 @ sk__23 @ sk__21 )
| ( zip_tseitin_14 @ X0 @ X1 @ sk__23 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1238,zip_derived_cl60]) ).
thf(zip_derived_cl1334,plain,
! [X0: mworld,X1: mworld] : ( zip_tseitin_14 @ X1 @ X0 @ sk__23 @ sk__21 ),
inference(condensation,[status(thm)],[zip_derived_cl1327]) ).
thf(zf_stmt_8,type,
zip_tseitin_16: mworld > mworld > $i > $i > $o ).
thf(zf_stmt_9,axiom,
! [X14: mworld,X12: mworld,X10: $i,X6: $i] :
( ( ( mrel @ X12 @ X14 )
=> ~ ! [X16: mworld] :
( ( mrel @ X14 @ X16 )
=> ( qmltpeq @ X6 @ ( singleton @ X10 ) @ X16 ) ) )
=> ( zip_tseitin_16 @ X14 @ X12 @ X10 @ X6 ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_15: mworld > mworld > $i > $o ).
thf(zf_stmt_11,axiom,
! [X18: mworld,X12: mworld,X6: $i] :
( ( ( mrel @ X12 @ X18 )
=> ~ ! [X20: mworld] :
( ( mrel @ X18 @ X20 )
=> ( qmltpeq @ X6 @ empty_set @ X20 ) ) )
=> ( zip_tseitin_15 @ X18 @ X12 @ X6 ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_14: mworld > mworld > $i > $i > $o ).
thf(zf_stmt_13,type,
zip_tseitin_13: $i > mworld > $i > $i > $o ).
thf(zf_stmt_14,type,
zip_tseitin_12: mworld > $i > mworld > $i > $i > $o ).
thf(zf_stmt_15,type,
zip_tseitin_11: mworld > $i > $i > $i > $o ).
thf(zf_stmt_16,type,
zip_tseitin_10: mworld > mworld > $i > $i > $o ).
thf(zf_stmt_17,axiom,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i] :
( ( eiw_di @ X6 @ X4 )
=> ! [X8: mworld] :
( ( mrel @ X4 @ X8 )
=> ! [X10: $i] :
( ( eiw_di @ X10 @ X8 )
=> ! [X12: mworld] :
( ( mrel @ X8 @ X12 )
=> ~ ( ! [X14: mworld] : ( zip_tseitin_16 @ X14 @ X12 @ X10 @ X6 )
& ! [X18: mworld] : ( zip_tseitin_15 @ X18 @ X12 @ X6 )
& ! [X22: mworld] : ( zip_tseitin_14 @ X22 @ X12 @ X10 @ X6 ) ) ) ) ) ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: mworld,X2: $i,X3: mworld,X4: mworld] :
( ~ ( eiw_di @ X0 @ X1 )
| ~ ( eiw_di @ X2 @ X3 )
| ~ ( zip_tseitin_14 @ ( sk__32 @ X4 @ X2 @ X0 ) @ X4 @ X2 @ X0 )
| ~ ( zip_tseitin_15 @ ( sk__33 @ X4 @ X0 ) @ X4 @ X0 )
| ~ ( zip_tseitin_16 @ ( sk__34 @ X4 @ X2 @ X0 ) @ X4 @ X2 @ X0 )
| ~ ( mrel @ X3 @ X4 )
| ~ ( mrel @ X1 @ X3 )
| ~ ( mrel @ mactual @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl0_009,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl0_010,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl0_011,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl298,plain,
! [X0: $i,X1: mworld,X2: $i,X3: mworld,X4: mworld] :
( ~ ( eiw_di @ X0 @ X1 )
| ~ ( eiw_di @ X2 @ X3 )
| ~ ( zip_tseitin_14 @ ( sk__32 @ X4 @ X2 @ X0 ) @ X4 @ X2 @ X0 )
| ~ ( zip_tseitin_15 @ ( sk__33 @ X4 @ X0 ) @ X4 @ X0 )
| ~ ( zip_tseitin_16 @ ( sk__34 @ X4 @ X2 @ X0 ) @ X4 @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl1335,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ~ ( zip_tseitin_16 @ ( sk__34 @ X0 @ sk__23 @ sk__21 ) @ X0 @ sk__23 @ sk__21 )
| ~ ( zip_tseitin_15 @ ( sk__33 @ X0 @ sk__21 ) @ X0 @ sk__21 )
| ~ ( eiw_di @ sk__23 @ X1 )
| ~ ( eiw_di @ sk__21 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1334,zip_derived_cl298]) ).
thf(zip_derived_cl64,plain,
! [X0: mworld,X1: mworld,X2: $i,X3: $i,X4: mworld] :
( ( zip_tseitin_16 @ X0 @ X1 @ X2 @ X3 )
| ( qmltpeq @ X3 @ ( singleton @ X2 ) @ X4 )
| ~ ( mrel @ X0 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl0_012,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl163,plain,
! [X0: mworld,X1: mworld,X2: $i,X3: $i,X4: mworld] :
( ( zip_tseitin_16 @ X0 @ X1 @ X2 @ X3 )
| ( qmltpeq @ X3 @ ( singleton @ X2 ) @ X4 ) ),
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl0]) ).
thf(zip_derived_cl42,plain,
! [X0: mworld] :
( ~ ( qmltpeq @ sk__21 @ ( singleton @ sk__23 ) @ ( sk__28 @ X0 ) )
| ~ ( mrel @ sk__24 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl0_013,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl113,plain,
! [X0: mworld] :
~ ( qmltpeq @ sk__21 @ ( singleton @ sk__23 ) @ ( sk__28 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl0]) ).
thf(zip_derived_cl164,plain,
! [X1: mworld,X2: mworld] : ( zip_tseitin_16 @ X2 @ X1 @ sk__23 @ sk__21 ),
inference('sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl113]) ).
thf(zip_derived_cl62,plain,
! [X0: mworld,X1: mworld,X2: $i,X3: mworld] :
( ( zip_tseitin_15 @ X0 @ X1 @ X2 )
| ( qmltpeq @ X2 @ empty_set @ X3 )
| ~ ( mrel @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl0_014,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl155,plain,
! [X0: mworld,X1: mworld,X2: $i,X3: mworld] :
( ( zip_tseitin_15 @ X0 @ X1 @ X2 )
| ( qmltpeq @ X2 @ empty_set @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl0]) ).
thf(zip_derived_cl44,plain,
! [X1: mworld] :
( ~ ( qmltpeq @ sk__21 @ empty_set @ ( sk__27 @ X1 ) )
| ~ ( mrel @ sk__24 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl0_015,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl69,plain,
! [X1: mworld] :
~ ( qmltpeq @ sk__21 @ empty_set @ ( sk__27 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl0]) ).
thf(zip_derived_cl156,plain,
! [X1: mworld,X2: mworld] : ( zip_tseitin_15 @ X2 @ X1 @ sk__21 ),
inference('sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl69]) ).
thf(zip_derived_cl50,plain,
eiw_di @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl70_016,plain,
! [X0: mworld,X1: mworld,X2: $i] :
( ~ ( eiw_di @ X2 @ X1 )
| ( eiw_di @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl71,plain,
! [X0: mworld] : ( eiw_di @ sk__23 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl70]) ).
thf(zip_derived_cl51,plain,
eiw_di @ sk__21 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl70_017,plain,
! [X0: mworld,X1: mworld,X2: $i] :
( ~ ( eiw_di @ X2 @ X1 )
| ( eiw_di @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl72,plain,
! [X0: mworld] : ( eiw_di @ sk__21 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl70]) ).
thf(zip_derived_cl1337,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1335,zip_derived_cl164,zip_derived_cl156,zip_derived_cl71,zip_derived_cl72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL951^24 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nQJCAZpuRg true
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 06:10:14 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Running portfolio for 300 s
% 0.10/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Number of cores: 8
% 0.10/0.37 % Python version: Python 3.12.3
% 0.10/0.37 % Running in HO mode
% 0.37/0.60 % Total configuration time : 828
% 0.37/0.60 % Estimated wc time : 1656
% 0.37/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.40/0.67 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.41/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.41/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.41/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.41/0.73 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.41/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.41/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.43/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.43/0.85 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 4.28/1.18 % Solved by lams/40_c.s.sh.
% 4.28/1.18 % done 633 iterations in 0.488s
% 4.28/1.18 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.28/1.18 % SZS output start Refutation
% See solution above
% 4.28/1.18
% 4.28/1.18
% 4.28/1.18 % Terminating...
% 2.19/1.23 % Runner terminated.
% 2.19/1.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------