%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO899^8 : TPTP v9.2.0. 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.E1toxj9xUS true
% Computer : n013.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 Oct 2 05:08:31 PM UTC 2025
% Result : Theorem 0.42s 0.82s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 77 ( 12 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 132 ( 11 ~; 7 |; 7 &; 91 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 45 ( 24 ^; 14 !; 7 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(p_type,type,
p: mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mdia_type,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(sk__2_type,type,
sk__2: mworld ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(q_type,type,
q: mworld > $o ).
thf(mdia_def,axiom,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( Phi @ V )
& ( mrel @ W @ V ) ) ) ) ).
thf('0',plain,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( Phi @ V )
& ( mrel @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_def]) ).
thf('1',plain,
( mdia
= ( ^ [V_1: mworld > $o,V_2: mworld] :
? [X4: mworld] :
( ( V_1 @ X4 )
& ( mrel @ V_2 @ X4 ) ) ) ),
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(con,conjecture,
mlocal @ ( mimplies @ ( mdia @ ( mimplies @ p @ ( mbox @ q ) ) ) @ ( mimplies @ ( mbox @ p ) @ ( mdia @ q ) ) ) ).
thf(zf_stmt_0,conjecture,
( ? [X4: mworld] :
( ( ( p @ X4 )
=> ! [X6: mworld] :
( ( mrel @ X4 @ X6 )
=> ( q @ X6 ) ) )
& ( mrel @ mactual @ X4 ) )
=> ( ! [X8: mworld] :
( ( mrel @ mactual @ X8 )
=> ( p @ X8 ) )
=> ? [X10: mworld] :
( ( q @ X10 )
& ( mrel @ mactual @ X10 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ? [X4: mworld] :
( ( ( p @ X4 )
=> ! [X6: mworld] :
( ( mrel @ X4 @ X6 )
=> ( q @ X6 ) ) )
& ( mrel @ mactual @ X4 ) )
=> ( ! [X8: mworld] :
( ( mrel @ mactual @ X8 )
=> ( p @ X8 ) )
=> ? [X10: mworld] :
( ( q @ X10 )
& ( mrel @ mactual @ X10 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X2: mworld] :
( ( p @ X2 )
| ~ ( mrel @ mactual @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: mworld] :
( ~ ( mrel @ sk__2 @ X0 )
| ( q @ X0 )
| ~ ( p @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ sk__2 )
| ( q @ X0 )
| ~ ( mrel @ sk__2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl2,plain,
mrel @ mactual @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X0: mworld] :
( ( q @ X0 )
| ~ ( mrel @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl2_001,plain,
mrel @ mactual @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X1: mworld] :
( ~ ( q @ X1 )
| ~ ( mrel @ mactual @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
~ ( q @ sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl17,plain,
~ ( mrel @ sk__2 @ sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl13]) ).
thf(mrel_reflexive,axiom,
! [W: mworld] : ( mrel @ W @ W ) ).
thf(zip_derived_cl0,plain,
! [X0: mworld] : ( mrel @ X0 @ X0 ),
inference(cnf,[status(esa)],[mrel_reflexive]) ).
thf(zip_derived_cl19,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.18 % Problem : SYO899^8 : TPTP v9.2.0. Released v8.1.0.
% 0.10/0.19 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E1toxj9xUS true
% 0.13/0.40 % Computer : n013.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8042.1875MB
% 0.13/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Wed Oct 1 17:54:53 EDT 2025
% 0.13/0.40 % CPUTime :
% 0.13/0.40 % Running portfolio for 300 s
% 0.13/0.40 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40 % Number of cores: 8
% 0.13/0.41 % Python version: Python 3.6.8
% 0.13/0.41 % Running in HO mode
% 0.39/0.67 % Total configuration time : 828
% 0.39/0.67 % Estimated wc time : 1656
% 0.39/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.42/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.42/0.82 % Solved by lams/40_c.s.sh.
% 0.42/0.82 % done 7 iterations in 0.010s
% 0.42/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.42/0.82 % SZS output start Refutation
% See solution above
% 0.42/0.82
% 0.42/0.82
% 0.42/0.82 % Terminating...
% 0.44/0.88 % Runner terminated.
% 0.44/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------