%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL525+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Y6kM6pbIdS true
% Computer : n014.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 01:36:08 PM UTC 2026
% Result : Theorem 0.42s 0.72s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 3 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 118 ( 18 ~; 15 |; 2 &; 77 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(modus_ponens_strict_implies_type,type,
modus_ponens_strict_implies: $o ).
thf(axiom_M_type,type,
axiom_M: $o ).
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(necessarily_type,type,
necessarily: $i > $i ).
thf(sk__57_type,type,
sk__57: $i ).
thf(strict_implies_type,type,
strict_implies: $i > $i > $i ).
thf(op_strict_implies_type,type,
op_strict_implies: $o ).
thf(sk__56_type,type,
sk__56: $i ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(modus_ponens_strict_implies,axiom,
( modus_ponens_strict_implies
<=> ! [X: $i,Y: $i] :
( ( ( is_a_theorem @ X )
& ( is_a_theorem @ ( strict_implies @ X @ Y ) ) )
=> ( is_a_theorem @ Y ) ) ) ).
thf(zip_derived_cl84,plain,
( modus_ponens_strict_implies
| ~ ( is_a_theorem @ sk__57 ) ),
inference(cnf,[status(esa)],[modus_ponens_strict_implies]) ).
thf(s1_0_modus_ponens_strict_implies,conjecture,
modus_ponens_strict_implies ).
thf(zf_stmt_0,negated_conjecture,
~ modus_ponens_strict_implies,
inference('cnf.neg',[status(esa)],[s1_0_modus_ponens_strict_implies]) ).
thf(zip_derived_cl145,plain,
~ modus_ponens_strict_implies,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl717,plain,
~ ( is_a_theorem @ sk__57 ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl145]) ).
thf(zip_derived_cl83,plain,
( modus_ponens_strict_implies
| ( is_a_theorem @ ( strict_implies @ sk__56 @ sk__57 ) ) ),
inference(cnf,[status(esa)],[modus_ponens_strict_implies]) ).
thf(zip_derived_cl145_001,plain,
~ modus_ponens_strict_implies,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl720,plain,
is_a_theorem @ ( strict_implies @ sk__56 @ sk__57 ),
inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl145]) ).
thf(s1_0_op_strict_implies,axiom,
op_strict_implies ).
thf(zip_derived_cl142,plain,
op_strict_implies,
inference(cnf,[status(esa)],[s1_0_op_strict_implies]) ).
thf(op_strict_implies,axiom,
( op_strict_implies
=> ! [X: $i,Y: $i] :
( ( strict_implies @ X @ Y )
= ( necessarily @ ( implies @ X @ Y ) ) ) ) ).
thf(zip_derived_cl132,plain,
! [X0: $i,X1: $i] :
( ( ( strict_implies @ X0 @ X1 )
= ( necessarily @ ( implies @ X0 @ X1 ) ) )
| ~ op_strict_implies ),
inference(cnf,[status(esa)],[op_strict_implies]) ).
thf(zip_derived_cl655,plain,
! [X0: $i,X1: $i] :
( ( strict_implies @ X1 @ X0 )
= ( necessarily @ ( implies @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl142,zip_derived_cl132]) ).
thf(km5_axiom_M,axiom,
axiom_M ).
thf(zip_derived_cl137,plain,
axiom_M,
inference(cnf,[status(esa)],[km5_axiom_M]) ).
thf(axiom_M,axiom,
( axiom_M
<=> ! [X: $i] : ( is_a_theorem @ ( implies @ ( necessarily @ X ) @ X ) ) ) ).
thf(zip_derived_cl94,plain,
! [X0: $i] :
( ( is_a_theorem @ ( implies @ ( necessarily @ X0 ) @ X0 ) )
| ~ axiom_M ),
inference(cnf,[status(esa)],[axiom_M]) ).
thf(zip_derived_cl687,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( necessarily @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl137,zip_derived_cl94]) ).
thf(hilbert_modus_ponens,axiom,
modus_ponens ).
thf(zip_derived_cl63,plain,
modus_ponens,
inference(cnf,[status(esa)],[hilbert_modus_ponens]) ).
thf(modus_ponens,axiom,
( modus_ponens
<=> ! [X: $i,Y: $i] :
( ( ( is_a_theorem @ X )
& ( is_a_theorem @ ( implies @ X @ Y ) ) )
=> ( is_a_theorem @ Y ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ X0 )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ X1 )
| ~ modus_ponens ),
inference(cnf,[status(esa)],[modus_ponens]) ).
thf(zip_derived_cl710,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).
thf(zip_derived_cl734,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ ( necessarily @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl687,zip_derived_cl710]) ).
thf(zip_derived_cl736,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( strict_implies @ X1 @ X0 ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl655,zip_derived_cl734]) ).
thf(zip_derived_cl737,plain,
is_a_theorem @ ( implies @ sk__56 @ sk__57 ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl736]) ).
thf(zip_derived_cl710_002,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ X1 )
| ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).
thf(zip_derived_cl738,plain,
( ~ ( is_a_theorem @ sk__56 )
| ( is_a_theorem @ sk__57 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl710]) ).
thf(zip_derived_cl82,plain,
( modus_ponens_strict_implies
| ( is_a_theorem @ sk__56 ) ),
inference(cnf,[status(esa)],[modus_ponens_strict_implies]) ).
thf(zip_derived_cl145_003,plain,
~ modus_ponens_strict_implies,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl718,plain,
is_a_theorem @ sk__56,
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl145]) ).
thf(zip_derived_cl739,plain,
is_a_theorem @ sk__57,
inference(demod,[status(thm)],[zip_derived_cl738,zip_derived_cl718]) ).
thf(zip_derived_cl742,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl717,zip_derived_cl739]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL525+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Y6kM6pbIdS true
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 13:10:57 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
% 0.10/0.38 % Number of cores: 8
% 0.10/0.38 % Python version: Python 3.12.3
% 0.10/0.38 % Running in FO mode
% 0.38/0.60 % Total configuration time : 435
% 0.38/0.60 % Estimated wc time : 1092
% 0.38/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.72 % Solved by fo/fo6_bce.sh.
% 0.42/0.72 % BCE start: 146
% 0.42/0.72 % BCE eliminated: 4
% 0.42/0.72 % PE start: 142
% 0.42/0.72 logic: eq
% 0.42/0.72 % PE eliminated: 80
% 0.42/0.72 % done 20 iterations in 0.035s
% 0.42/0.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.42/0.72 % SZS output start Refutation
% See solution above
% 0.42/0.72
% 0.42/0.72
% 0.42/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.42/0.73 % Terminating...
% 0.42/0.78 % Runner terminated.
% 1.49/0.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------