%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL453+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.yxQXgdVsSF 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 0.45s 0.84s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 56 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 14 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 335 ( 25 ~; 21 |; 1 &; 280 @)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 77 ( 0 ^; 77 !; 0 ?; 77 :)
% 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(implies_1_type,type,
implies_1: $o ).
thf(sk__43_type,type,
sk__43: $i ).
thf(op_implies_and_type,type,
op_implies_and: $o ).
thf(or_type,type,
or: $i > $i > $i ).
thf(cn3_type,type,
cn3: $o ).
thf(or_3_type,type,
or_3: $o ).
thf(modus_ponens_type,type,
modus_ponens: $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(implies_2_type,type,
implies_2: $o ).
thf(not_type,type,
not: $i > $i ).
thf(cn3,axiom,
( cn3
<=> ! [P: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ P ) @ P ) @ P ) ) ) ).
thf(zip_derived_cl44,plain,
( cn3
| ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__43 ) @ sk__43 ) @ sk__43 ) ) ),
inference(cnf,[status(esa)],[cn3]) ).
thf(luka_cn3,conjecture,
cn3 ).
thf(zf_stmt_0,negated_conjecture,
~ cn3,
inference('cnf.neg',[status(esa)],[luka_cn3]) ).
thf(zip_derived_cl81,plain,
~ cn3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl379,plain,
~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ sk__43 ) @ sk__43 ) @ sk__43 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl44,zip_derived_cl81]) ).
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_cl363,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(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_cl352,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(zip_derived_cl402,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl363,zip_derived_cl352]) ).
thf(zip_derived_cl411,plain,
~ ( is_a_theorem @ ( implies @ ( or @ sk__43 @ sk__43 ) @ sk__43 ) ),
inference(demod,[status(thm)],[zip_derived_cl379,zip_derived_cl402]) ).
thf(hilbert_or_3,axiom,
or_3 ).
thf(zip_derived_cl73,plain,
or_3,
inference(cnf,[status(esa)],[hilbert_or_3]) ).
thf(or_3,axiom,
( or_3
<=> ! [X: $i,Y: $i,Z: $i] : ( is_a_theorem @ ( implies @ ( implies @ X @ Z ) @ ( implies @ ( implies @ Y @ Z ) @ ( implies @ ( or @ X @ Y ) @ Z ) ) ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( implies @ X2 @ X1 ) @ ( implies @ ( or @ X0 @ X2 ) @ X1 ) ) ) )
| ~ or_3 ),
inference(cnf,[status(esa)],[or_3]) ).
thf(zip_derived_cl377,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ ( implies @ X1 @ X0 ) @ ( implies @ ( or @ X2 @ X1 ) @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl73,zip_derived_cl25]) ).
thf(hilbert_implies_2,axiom,
implies_2 ).
thf(zip_derived_cl66,plain,
implies_2,
inference(cnf,[status(esa)],[hilbert_implies_2]) ).
thf(implies_2,axiom,
( implies_2
<=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ ( implies @ X @ ( implies @ X @ Y ) ) @ ( implies @ X @ Y ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( implies @ X0 @ X1 ) ) @ ( implies @ X0 @ X1 ) ) )
| ~ implies_2 ),
inference(cnf,[status(esa)],[implies_2]) ).
thf(zip_derived_cl367,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( implies @ X1 @ X0 ) ) @ ( implies @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl11]) ).
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_cl381,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_cl475,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ ( implies @ X1 @ X0 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl367,zip_derived_cl381]) ).
thf(zip_derived_cl509,plain,
! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ ( implies @ ( or @ X1 @ X1 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl475]) ).
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_cl366,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_cl475_001,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ ( implies @ X1 @ X0 ) ) )
| ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl367,zip_derived_cl381]) ).
thf(zip_derived_cl498,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl475]) ).
thf(zip_derived_cl352_002,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(zip_derived_cl402_003,plain,
! [X0: $i,X1: $i] :
( ( implies @ ( not @ X1 ) @ X0 )
= ( or @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl363,zip_derived_cl352]) ).
thf(zip_derived_cl381_004,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_cl413,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( not @ X1 ) )
| ~ ( is_a_theorem @ ( or @ X1 @ X0 ) )
| ( is_a_theorem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl381]) ).
thf(zip_derived_cl427,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
| ~ ( is_a_theorem @ ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 ) )
| ( is_a_theorem @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl413]) ).
thf(zip_derived_cl656,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( or @ ( and @ X0 @ ( not @ X0 ) ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl427]) ).
thf(zip_derived_cl352_005,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(zip_derived_cl363_006,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_cl405,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( not @ ( and @ ( implies @ X1 @ X0 ) @ ( not @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl352,zip_derived_cl363]) ).
thf(zip_derived_cl352_007,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(zip_derived_cl407,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( or @ ( and @ X1 @ ( not @ X0 ) ) @ X2 )
= ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl405,zip_derived_cl352]) ).
thf(zip_derived_cl702,plain,
! [X0: $i,X1: $i] :
( ~ ( is_a_theorem @ ( implies @ ( implies @ X0 @ X0 ) @ X1 ) )
| ( is_a_theorem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl656,zip_derived_cl407]) ).
thf(zip_derived_cl745,plain,
! [X0: $i] : ( is_a_theorem @ ( implies @ ( or @ X0 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl509,zip_derived_cl702]) ).
thf(zip_derived_cl821,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl411,zip_derived_cl745]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL453+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yxQXgdVsSF true
% 0.10/0.37 % Computer : n008.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 12:39:53 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Running portfolio for 300 s
% 0.10/0.38 % 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
% 0.10/0.39 % Running in FO mode
% 0.40/0.67 % Total configuration time : 435
% 0.40/0.67 % Estimated wc time : 1092
% 0.40/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.45/0.84 % Solved by fo/fo6_bce.sh.
% 0.45/0.84 % BCE start: 82
% 0.45/0.84 % BCE eliminated: 3
% 0.45/0.84 % PE start: 79
% 0.45/0.84 logic: eq
% 0.45/0.84 % PE eliminated: 49
% 0.45/0.84 % done 123 iterations in 0.084s
% 0.45/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.45/0.84 % SZS output start Refutation
% See solution above
% 0.45/0.85
% 0.45/0.85
% 0.45/0.85 % Terminating...
% 0.45/0.88 % Runner terminated.
% 1.66/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------