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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO258+1 : TPTP v9.2.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iMez6pQoob true

% Computer : n029.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 04:34:32 PM UTC 2025

% Result   : Theorem 0.53s 0.75s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   30 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   56 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  229 (  21   ~;  21   |;   2   &; 182   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   5 con; 0-4 aty)
%            Number of variables   :   36 (   0   ^;  36   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i ).

thf(before_on_line_type,type,
    before_on_line: $i > $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(between_on_line_type,type,
    between_on_line: $i > $i > $i > $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(bet_def,axiom,
    ! [L: $i,A: $i,B: $i,C: $i] :
      ( ( between_on_line @ L @ A @ B @ C )
    <=> ( ( ( before_on_line @ L @ A @ B )
          & ( before_on_line @ L @ B @ C ) )
        | ( ( before_on_line @ L @ C @ B )
          & ( before_on_line @ L @ B @ A ) ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( between_on_line @ X0 @ X1 @ X2 @ X3 )
      | ~ ( before_on_line @ X0 @ X1 @ X2 )
      | ~ ( before_on_line @ X0 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[bet_def]) ).

thf(con,conjecture,
    ! [L: $i,A: $i,B: $i,C: $i] :
      ( ( between_on_line @ L @ A @ B @ C )
     => ( between_on_line @ L @ C @ B @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [L: $i,A: $i,B: $i,C: $i] :
        ( ( between_on_line @ L @ A @ B @ C )
       => ( between_on_line @ L @ C @ B @ A ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl60,plain,
    ~ ( between_on_line @ sk_ @ sk__3 @ sk__2 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl99,plain,
    ( ~ ( before_on_line @ sk_ @ sk__2 @ sk__1 )
    | ~ ( before_on_line @ sk_ @ sk__3 @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl60]) ).

thf(zip_derived_cl59,plain,
    between_on_line @ sk_ @ sk__1 @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( before_on_line @ X0 @ X1 @ X2 )
      | ( before_on_line @ X0 @ X3 @ X2 )
      | ~ ( between_on_line @ X0 @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[bet_def]) ).

thf(zip_derived_cl106,plain,
    ( ( before_on_line @ sk_ @ sk__1 @ sk__2 )
    | ( before_on_line @ sk_ @ sk__3 @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl20]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( between_on_line @ X0 @ X1 @ X2 @ X3 )
      | ~ ( before_on_line @ X0 @ X3 @ X2 )
      | ~ ( before_on_line @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[bet_def]) ).

thf(zip_derived_cl60_001,plain,
    ~ ( between_on_line @ sk_ @ sk__3 @ sk__2 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104,plain,
    ( ~ ( before_on_line @ sk_ @ sk__2 @ sk__3 )
    | ~ ( before_on_line @ sk_ @ sk__1 @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl60]) ).

thf(zip_derived_cl59_002,plain,
    between_on_line @ sk_ @ sk__1 @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( before_on_line @ X0 @ X1 @ X2 )
      | ( before_on_line @ X0 @ X1 @ X3 )
      | ~ ( between_on_line @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[bet_def]) ).

thf(zip_derived_cl107,plain,
    ( ( before_on_line @ sk_ @ sk__2 @ sk__3 )
    | ( before_on_line @ sk_ @ sk__2 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl21]) ).

thf(zip_derived_cl99_003,plain,
    ( ~ ( before_on_line @ sk_ @ sk__2 @ sk__1 )
    | ~ ( before_on_line @ sk_ @ sk__3 @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl60]) ).

thf(zip_derived_cl59_004,plain,
    between_on_line @ sk_ @ sk__1 @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( before_on_line @ X0 @ X1 @ X2 )
      | ( before_on_line @ X0 @ X2 @ X1 )
      | ~ ( between_on_line @ X0 @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[bet_def]) ).

thf(zip_derived_cl105,plain,
    ( ( before_on_line @ sk_ @ sk__2 @ sk__3 )
    | ( before_on_line @ sk_ @ sk__3 @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl19]) ).

thf(zip_derived_cl123,plain,
    ( ~ ( before_on_line @ sk_ @ sk__2 @ sk__1 )
    | ( before_on_line @ sk_ @ sk__2 @ sk__3 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl99,zip_derived_cl105]) ).

thf(zip_derived_cl202,plain,
    before_on_line @ sk_ @ sk__2 @ sk__3,
    inference(clc,[status(thm)],[zip_derived_cl107,zip_derived_cl123]) ).

thf(zip_derived_cl203,plain,
    ~ ( before_on_line @ sk_ @ sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl202]) ).

thf(zip_derived_cl208,plain,
    before_on_line @ sk_ @ sk__3 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl203]) ).

thf(zip_derived_cl215,plain,
    ~ ( before_on_line @ sk_ @ sk__2 @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl208]) ).

thf(zip_derived_cl59_005,plain,
    between_on_line @ sk_ @ sk__1 @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( before_on_line @ X0 @ X1 @ X2 )
      | ( before_on_line @ X0 @ X2 @ X1 )
      | ~ ( between_on_line @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[bet_def]) ).

thf(zip_derived_cl108,plain,
    ( ( before_on_line @ sk_ @ sk__1 @ sk__2 )
    | ( before_on_line @ sk_ @ sk__2 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl22]) ).

thf(zip_derived_cl203_006,plain,
    ~ ( before_on_line @ sk_ @ sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl202]) ).

thf(zip_derived_cl224,plain,
    before_on_line @ sk_ @ sk__2 @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl203]) ).

thf(zip_derived_cl225,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl224]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO258+1 : TPTP v9.2.0. Bugfixed v6.4.0.
% 0.04/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iMez6pQoob true
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 17:42:38 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.52/0.64  % Total configuration time : 435
% 0.52/0.64  % Estimated wc time : 1092
% 0.52/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75  % Solved by fo/fo3_bce.sh.
% 0.53/0.75  % BCE start: 61
% 0.53/0.75  % BCE eliminated: 0
% 0.53/0.75  % PE start: 61
% 0.53/0.75  logic: neq
% 0.53/0.75  % PE eliminated: 10
% 0.53/0.75  % done 83 iterations in 0.031s
% 0.53/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.75  % SZS output start Refutation
% See solution above
% 0.53/0.75  
% 0.53/0.75  
% 0.53/0.75  % Terminating...
% 0.55/0.84  % Runner terminated.
% 1.70/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------