%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL455+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.ICQJvOECit true
% Computer : n008.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 01:36:00 PM UTC 2026
% Result : Theorem 0.51s 0.80s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 7 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 94 ( 7 ~; 4 |; 0 &; 79 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(op_or_type,type,
op_or: $o ).
thf(and_type,type,
and: $i > $i > $i ).
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(r2_type,type,
r2: $o ).
thf(sk__45_type,type,
sk__45: $i ).
thf(implies_1_type,type,
implies_1: $o ).
thf(op_implies_and_type,type,
op_implies_and: $o ).
thf(or_type,type,
or: $i > $i > $i ).
thf(sk__46_type,type,
sk__46: $i ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(not_type,type,
not: $i > $i ).
thf(r2,axiom,
( r2
<=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ Q @ ( or @ P @ Q ) ) ) ) ).
thf(zip_derived_cl48,plain,
( r2
| ~ ( is_a_theorem @ ( implies @ sk__46 @ ( or @ sk__45 @ sk__46 ) ) ) ),
inference(cnf,[status(esa)],[r2]) ).
thf(principia_r2,conjecture,
r2 ).
thf(zf_stmt_0,negated_conjecture,
~ r2,
inference('cnf.neg',[status(esa)],[principia_r2]) ).
thf(zip_derived_cl81,plain,
~ r2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl387,plain,
~ ( is_a_theorem @ ( implies @ sk__46 @ ( or @ sk__45 @ sk__46 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl48,zip_derived_cl81]) ).
thf(hilbert_op_implies_and,axiom,
op_implies_and ).
thf(zip_derived_cl61,plain,
op_implies_and,
inference(cnf,[status(esa)],[hilbert_op_implies_and]) ).
thf(op_implies_and,axiom,
( op_implies_and
=> ! [X: $i,Y: $i] :
( ( implies @ X @ Y )
= ( not @ ( and @ X @ ( not @ Y ) ) ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ( ( implies @ X0 @ X1 )
= ( not @ ( and @ X0 @ ( not @ X1 ) ) ) )
| ~ op_implies_and ),
inference(cnf,[status(esa)],[op_implies_and]) ).
thf(zip_derived_cl360,plain,
! [X0: $i,X1: $i] :
( ( implies @ X1 @ X0 )
= ( not @ ( and @ X1 @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl57]) ).
thf(hilbert_op_or,axiom,
op_or ).
thf(zip_derived_cl60,plain,
op_or,
inference(cnf,[status(esa)],[hilbert_op_or]) ).
thf(op_or,axiom,
( op_or
=> ! [X: $i,Y: $i] :
( ( or @ X @ Y )
= ( not @ ( and @ ( not @ X ) @ ( not @ Y ) ) ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ( ( or @ X0 @ X1 )
= ( not @ ( and @ ( not @ X0 ) @ ( not @ X1 ) ) ) )
| ~ op_or ),
inference(cnf,[status(esa)],[op_or]) ).
thf(zip_derived_cl358,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( not @ ( and @ ( not @ X1 ) @ ( not @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl413,plain,
! [X0: $i,X1: $i] :
( ( or @ X1 @ X0 )
= ( implies @ ( not @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl360,zip_derived_cl358]) ).
thf(hilbert_implies_1,axiom,
implies_1 ).
thf(zip_derived_cl65,plain,
implies_1,
inference(cnf,[status(esa)],[hilbert_implies_1]) ).
thf(implies_1,axiom,
( implies_1
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) )
| ~ implies_1 ),
inference(cnf,[status(esa)],[implies_1]) ).
thf(zip_derived_cl374,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl9]) ).
thf(zip_derived_cl418,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl413,zip_derived_cl374]) ).
thf(zip_derived_cl431,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl387,zip_derived_cl418]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL455+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ICQJvOECit true
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 5 06:31:53 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Running portfolio for 300 s
% 0.11/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Number of cores: 8
% 0.11/0.39 % Python version: Python 3.12.3
% 0.11/0.39 % Running in FO mode
% 0.46/0.68 % Total configuration time : 435
% 0.46/0.68 % Estimated wc time : 1092
% 0.46/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.80 % Solved by fo/fo6_bce.sh.
% 0.51/0.80 % BCE start: 82
% 0.51/0.80 % BCE eliminated: 0
% 0.51/0.80 % PE start: 82
% 0.51/0.80 logic: eq
% 0.51/0.80 % PE eliminated: 50
% 0.51/0.80 % done 18 iterations in 0.025s
% 0.51/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.80 % SZS output start Refutation
% See solution above
% 0.51/0.80
% 0.51/0.80
% 0.51/0.80 % Terminating...
% 0.51/0.87 % Runner terminated.
% 0.51/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------