%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL542+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IYaMLuk3kp true
% Computer : n027.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 01:36:10 PM UTC 2026
% Result : Theorem 0.47s 0.77s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 3 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 88 ( 11 ~; 7 |; 0 &; 65 @)
% ( 3 <=>; 2 =>; 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 : 13 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 19 ( 0 ^; 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__79_type,type,
sk__79: $i ).
thf(and_type,type,
and: $i > $i > $i ).
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(necessarily_type,type,
necessarily: $i > $i ).
thf(axiom_m2_type,type,
axiom_m2: $o ).
thf(strict_implies_type,type,
strict_implies: $i > $i > $i ).
thf(op_strict_implies_type,type,
op_strict_implies: $o ).
thf(and_1_type,type,
and_1: $o ).
thf(necessitation_type,type,
necessitation: $o ).
thf(sk__78_type,type,
sk__78: $i ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(s1_0_op_strict_implies,axiom,
op_strict_implies ).
thf(zip_derived_cl143,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_cl658,plain,
! [X0: $i,X1: $i] :
( ( strict_implies @ X1 @ X0 )
= ( necessarily @ ( implies @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl143,zip_derived_cl132]) ).
thf(km4b_necessitation,axiom,
necessitation ).
thf(zip_derived_cl135,plain,
necessitation,
inference(cnf,[status(esa)],[km4b_necessitation]) ).
thf(necessitation,axiom,
( necessitation
<=> ! [X: $i] :
( ( is_a_theorem @ X )
=> ( is_a_theorem @ ( necessarily @ X ) ) ) ) ).
thf(zip_derived_cl78,plain,
! [X0: $i] :
( ~ ( is_a_theorem @ X0 )
| ( is_a_theorem @ ( necessarily @ X0 ) )
| ~ necessitation ),
inference(cnf,[status(esa)],[necessitation]) ).
thf(zip_derived_cl709,plain,
! [X0: $i] :
( ( is_a_theorem @ ( necessarily @ X0 ) )
| ~ ( is_a_theorem @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl135,zip_derived_cl78]) ).
thf(zip_derived_cl726,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_cl658,zip_derived_cl709]) ).
thf(axiom_m2,axiom,
( axiom_m2
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( strict_implies @ ( and @ X @ Y ) @ X ) ) ) ).
thf(zip_derived_cl113,plain,
( axiom_m2
| ~ ( is_a_theorem @ ( strict_implies @ ( and @ sk__78 @ sk__79 ) @ sk__78 ) ) ),
inference(cnf,[status(esa)],[axiom_m2]) ).
thf(s1_0_axiom_m2,conjecture,
axiom_m2 ).
thf(zf_stmt_0,negated_conjecture,
~ axiom_m2,
inference('cnf.neg',[status(esa)],[s1_0_axiom_m2]) ).
thf(zip_derived_cl146,plain,
~ axiom_m2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl706,plain,
~ ( is_a_theorem @ ( strict_implies @ ( and @ sk__78 @ sk__79 ) @ sk__78 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl113,zip_derived_cl146]) ).
thf(zip_derived_cl727,plain,
~ ( is_a_theorem @ ( implies @ ( and @ sk__78 @ sk__79 ) @ sk__78 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl706]) ).
thf(hilbert_and_1,axiom,
and_1 ).
thf(zip_derived_cl68,plain,
and_1,
inference(cnf,[status(esa)],[hilbert_and_1]) ).
thf(and_1,axiom,
( and_1
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ ( and @ X @ Y ) @ X ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) )
| ~ and_1 ),
inference(cnf,[status(esa)],[and_1]) ).
thf(zip_derived_cl694,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( and @ X0 @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl15]) ).
thf(zip_derived_cl737,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl727,zip_derived_cl694]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL542+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IYaMLuk3kp true
% 0.09/0.35 % Computer : n027.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 21:52:59 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.12.3
% 0.14/0.37 % Running in FO mode
% 0.45/0.64 % Total configuration time : 435
% 0.45/0.64 % Estimated wc time : 1092
% 0.45/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.77 % Solved by fo/fo6_bce.sh.
% 0.47/0.77 % BCE start: 147
% 0.47/0.77 % BCE eliminated: 4
% 0.47/0.77 % PE start: 143
% 0.47/0.77 logic: eq
% 0.47/0.77 % PE eliminated: 82
% 0.47/0.77 % done 18 iterations in 0.035s
% 0.47/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.47/0.77 % SZS output start Refutation
% See solution above
% 0.47/0.77
% 0.47/0.77
% 0.47/0.77 % Terminating...
% 1.46/0.80 % Runner terminated.
% 1.46/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------