%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL943^24 : 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.HnEDw9OfoP true
% Computer : n001.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 01:37:36 PM UTC 2026
% Result : Theorem 0.44s 0.71s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 105 ( 12 equ; 0 cnn)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 186 ( 8 ~; 16 |; 0 &; 130 @)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 68 ( 27 ^; 41 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(sk__6_type,type,
sk__6: mworld ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mor_type,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(r_type,type,
r: mworld > $o ).
thf(sk__7_type,type,
sk__7: mworld ).
thf(sk__4_type,type,
sk__4: mworld > mworld ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(sk__5_type,type,
sk__5: mworld ).
thf(p_type,type,
p: mworld > $o ).
thf(sk__2_type,type,
sk__2: mworld ).
thf(q_type,type,
q: mworld > $o ).
thf(mbox_def,axiom,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ) ).
thf('0',plain,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).
thf('1',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('2',plain,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).
thf('3',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(mor_def,axiom,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ) ).
thf('4',plain,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor_def]) ).
thf('5',plain,
( mor
= ( ^ [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(pel5,conjecture,
mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ r ) ) ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ r ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ( ! [X6: mworld] :
( ( mrel @ X4 @ X6 )
=> ( ( ! [X8: mworld] :
( ( mrel @ X6 @ X8 )
=> ( p @ X8 ) )
| ! [X10: mworld] :
( ( mrel @ X6 @ X10 )
=> ( q @ X10 ) ) )
=> ( ! [X12: mworld] :
( ( mrel @ X6 @ X12 )
=> ( p @ X12 ) )
| ! [X14: mworld] :
( ( mrel @ X6 @ X14 )
=> ( r @ X14 ) ) ) ) )
=> ( ! [X16: mworld] :
( ( mrel @ X4 @ X16 )
=> ( p @ X16 ) )
| ! [X18: mworld] :
( ( mrel @ X4 @ X18 )
=> ( ! [X20: mworld] :
( ( mrel @ X18 @ X20 )
=> ( q @ X20 ) )
=> ! [X22: mworld] :
( ( mrel @ X18 @ X22 )
=> ( r @ X22 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ( ! [X6: mworld] :
( ( mrel @ X4 @ X6 )
=> ( ( ! [X8: mworld] :
( ( mrel @ X6 @ X8 )
=> ( p @ X8 ) )
| ! [X10: mworld] :
( ( mrel @ X6 @ X10 )
=> ( q @ X10 ) ) )
=> ( ! [X12: mworld] :
( ( mrel @ X6 @ X12 )
=> ( p @ X12 ) )
| ! [X14: mworld] :
( ( mrel @ X6 @ X14 )
=> ( r @ X14 ) ) ) ) )
=> ( ! [X16: mworld] :
( ( mrel @ X4 @ X16 )
=> ( p @ X16 ) )
| ! [X18: mworld] :
( ( mrel @ X4 @ X18 )
=> ( ! [X20: mworld] :
( ( mrel @ X18 @ X20 )
=> ( q @ X20 ) )
=> ! [X22: mworld] :
( ( mrel @ X18 @ X22 )
=> ( r @ X22 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
~ ( p @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
! [X1: mworld,X2: mworld,X3: mworld] :
( ~ ( q @ ( sk__4 @ X1 ) )
| ~ ( mrel @ X1 @ X2 )
| ( p @ X2 )
| ~ ( mrel @ X1 @ X3 )
| ( r @ X3 )
| ~ ( mrel @ sk__2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X0: mworld] :
( ( q @ X0 )
| ~ ( mrel @ sk__6 @ 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_cl12,plain,
! [X0: mworld] : ( q @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
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_cl16,plain,
! [X2: mworld,X3: mworld] :
( ( p @ X2 )
| ( r @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl12,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
~ ( r @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl17,plain,
! [X0: mworld] : ( p @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl4]) ).
thf(zip_derived_cl21,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL943^24 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HnEDw9OfoP true
% 0.07/0.33 % Computer : n001.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sat Sep 5 05:49:16 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.33 % Running portfolio for 300 s
% 0.07/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Number of cores: 8
% 0.07/0.34 % Python version: Python 3.12.3
% 0.07/0.34 % Running in HO mode
% 0.38/0.63 % Total configuration time : 828
% 0.38/0.63 % Estimated wc time : 1656
% 0.38/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.44/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.44/0.71 % Solved by lams/40_c.s.sh.
% 0.44/0.71 % done 10 iterations in 0.012s
% 0.44/0.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.44/0.71 % SZS output start Refutation
% See solution above
% 0.44/0.71
% 0.44/0.71
% 0.44/0.71 % Terminating...
% 0.44/0.74 % Runner terminated.
% 0.44/0.75 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------