%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL952^12 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.l8HB8JJLdr true
% Computer : n005.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 2.98s 1.06s
% Output : Refutation 2.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 34 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 110 ( 12 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 293 ( 16 ~; 14 |; 0 &; 230 @)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 8 con; 0-3 aty)
% Number of variables : 87 ( 28 ^; 59 !; 0 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(sk__25_type,type,
sk__25: $i ).
thf(sk__23_type,type,
sk__23: $i ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(in_type,type,
in: $i > $i > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(sk__28_type,type,
sk__28: mworld > $i > $i > mworld ).
thf(sk__27_type,type,
sk__27: mworld ).
thf(qmltpeq_type,type,
qmltpeq: $i > $i > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(sk__26_type,type,
sk__26: mworld ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(eiw_di_type,type,
eiw_di: $i > mworld > $o ).
thf(sk__22_type,type,
sk__22: mworld ).
thf(sk__24_type,type,
sk__24: 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(mimplies_def,axiom,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ) ).
thf('4',plain,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).
thf('5',plain,
( mimplies
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
=> ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
thf('6',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('7',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(t51_zfmisc_1,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ A @ ( singleton @ B ) ) @ ( singleton @ B ) ) ) @ ( mbox @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,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 )
=> ( qmltpeq @ ( set_intersection2 @ X6 @ ( singleton @ X10 ) ) @ ( singleton @ X10 ) @ X14 ) )
=> ! [X16: mworld] :
( ( mrel @ X12 @ X16 )
=> ( in @ X10 @ X6 @ X16 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,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 )
=> ( qmltpeq @ ( set_intersection2 @ X6 @ ( singleton @ X10 ) ) @ ( singleton @ X10 ) @ X14 ) )
=> ! [X16: mworld] :
( ( mrel @ X12 @ X16 )
=> ( in @ X10 @ X6 @ X16 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
~ ( in @ sk__25 @ sk__23 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl50,plain,
eiw_di @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl49,plain,
eiw_di @ sk__25 @ sk__24,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl48,plain,
! [X0: mworld] :
( ( qmltpeq @ ( set_intersection2 @ sk__23 @ ( singleton @ sk__25 ) ) @ ( singleton @ sk__25 ) @ X0 )
| ~ ( mrel @ sk__26 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
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_cl112,plain,
! [X0: mworld] : ( qmltpeq @ ( set_intersection2 @ sk__23 @ ( singleton @ sk__25 ) ) @ ( singleton @ sk__25 ) @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl0]) ).
thf(l30_zfmisc_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ A @ ( singleton @ B ) ) @ ( singleton @ B ) ) ) @ ( mbox @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_2,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] :
( ( mrel @ X12 @ X14 )
=> ( qmltpeq @ ( set_intersection2 @ X6 @ ( singleton @ X10 ) ) @ ( singleton @ X10 ) @ X14 ) )
=> ! [X16: mworld] :
( ( mrel @ X12 @ X16 )
=> ( in @ X10 @ X6 @ X16 ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: mworld,X2: $i,X3: mworld,X4: mworld,X5: mworld] :
( ~ ( eiw_di @ X0 @ X1 )
| ~ ( eiw_di @ X2 @ X3 )
| ~ ( qmltpeq @ ( set_intersection2 @ X0 @ ( singleton @ X2 ) ) @ ( singleton @ X2 ) @ ( sk__28 @ X4 @ X2 @ X0 ) )
| ~ ( mrel @ X4 @ X5 )
| ( in @ X2 @ X0 @ X5 )
| ~ ( mrel @ X3 @ X4 )
| ~ ( mrel @ X1 @ X3 )
| ~ ( mrel @ mactual @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl0_001,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
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_cl478,plain,
! [X0: $i,X1: mworld,X2: $i,X3: mworld,X4: mworld,X5: mworld] :
( ~ ( eiw_di @ X0 @ X1 )
| ~ ( eiw_di @ X2 @ X3 )
| ~ ( qmltpeq @ ( set_intersection2 @ X0 @ ( singleton @ X2 ) ) @ ( singleton @ X2 ) @ ( sk__28 @ X4 @ X2 @ X0 ) )
| ( in @ X2 @ X0 @ X5 ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl479,plain,
! [X1: mworld,X2: mworld,X3: mworld] :
( ( in @ sk__25 @ sk__23 @ X1 )
| ~ ( eiw_di @ sk__25 @ X2 )
| ~ ( eiw_di @ sk__23 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl478]) ).
thf(zip_derived_cl481,plain,
! [X0: mworld,X1: mworld] :
( ~ ( eiw_di @ sk__23 @ X0 )
| ( in @ sk__25 @ sk__23 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl479]) ).
thf(zip_derived_cl483,plain,
! [X0: mworld] : ( in @ sk__25 @ sk__23 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl481]) ).
thf(zip_derived_cl486,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl483]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL952^12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.l8HB8JJLdr true
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 5 12:31:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Number of cores: 8
% 0.11/0.37 % Python version: Python 3.12.3
% 0.11/0.38 % Running in HO mode
% 0.42/0.66 % Total configuration time : 828
% 0.42/0.66 % Estimated wc time : 1656
% 0.42/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.46/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.46/0.80 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.46/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.46/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.46/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.46/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.46/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.46/0.86 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.46/0.86 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 2.98/1.06 % Solved by lams/40_noforms.sh.
% 2.98/1.06 % done 174 iterations in 0.234s
% 2.98/1.06 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.98/1.06 % SZS output start Refutation
% See solution above
% 2.98/1.06
% 2.98/1.06
% 2.98/1.06 % Terminating...
% 2.98/1.12 % Runner terminated.
% 2.98/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------