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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO248+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yiukha2Z17 true

% Computer : n014.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 04:34:30 PM UTC 2025

% Result   : Theorem 1.45s 2.64s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   28 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   85 (   7   ~;   8   |;   2   &;  64   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(apart_point_and_line_type,type,
    apart_point_and_line: $i > $i > $o ).

thf(incident_point_and_line_type,type,
    incident_point_and_line: $i > $i > $o ).

thf(sk__type,type,
    sk_: $i ).

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

thf(right_apart_point_type,type,
    right_apart_point: $i > $i > $o ).

thf(left_apart_point_type,type,
    left_apart_point: $i > $i > $o ).

thf(parallel_lines_type,type,
    parallel_lines: $i > $i > $i ).

thf(reverse_line_type,type,
    reverse_line: $i > $i ).

thf(con,conjecture,
    ! [A: $i,B: $i,L: $i] :
      ( ( ( apart_point_and_line @ A @ L )
        & ( incident_point_and_line @ B @ ( parallel_lines @ L @ A ) ) )
     => ( apart_point_and_line @ B @ L ) ) ).

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

thf(zip_derived_cl67,plain,
    apart_point_and_line @ sk_ @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(a6_defns,axiom,
    ! [A: $i,L: $i] :
      ( ( apart_point_and_line @ A @ L )
    <=> ( ( left_apart_point @ A @ L )
        | ( right_apart_point @ A @ L ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( right_apart_point @ X0 @ X1 )
      | ( left_apart_point @ X0 @ X1 )
      | ~ ( apart_point_and_line @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a6_defns]) ).

thf(a2_defns,axiom,
    ! [X: $i,Y: $i] :
      ( ( right_apart_point @ X @ Y )
    <=> ( left_apart_point @ X @ ( reverse_line @ Y ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( left_apart_point @ X0 @ ( reverse_line @ X1 ) )
      | ~ ( right_apart_point @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a2_defns]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ X1 @ X0 )
      | ( left_apart_point @ X1 @ X0 )
      | ( left_apart_point @ X1 @ ( reverse_line @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl2]) ).

thf(zip_derived_cl120,plain,
    ( ( left_apart_point @ sk_ @ ( reverse_line @ sk__2 ) )
    | ( left_apart_point @ sk_ @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl108]) ).

thf(ax10_basics,axiom,
    ! [A: $i,L: $i] :
      ~ ( ( left_apart_point @ A @ L )
        | ( left_apart_point @ A @ ( reverse_line @ L ) ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_apart_point @ X0 @ X1 ),
    inference(cnf,[status(esa)],[ax10_basics]) ).

thf(zip_derived_cl144,plain,
    left_apart_point @ sk_ @ ( reverse_line @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl47]) ).

thf(zip_derived_cl47_001,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_apart_point @ X0 @ X1 ),
    inference(cnf,[status(esa)],[ax10_basics]) ).

thf(zip_derived_cl145,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl47]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.99  % Problem  : GEO248+3 : TPTP v9.2.0. Released v4.0.0.
% 0.13/1.09  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yiukha2Z17 true
% 0.17/1.51  % Computer : n014.cluster.edu
% 0.17/1.51  % Model    : x86_64 x86_64
% 0.17/1.51  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/1.51  % Memory   : 8042.1875MB
% 0.17/1.51  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/1.51  % CPULimit : 300
% 0.17/1.51  % WCLimit  : 300
% 0.17/1.51  % DateTime : Wed Oct  1 17:29:54 EDT 2025
% 0.17/1.53  % CPUTime  : 
% 0.17/1.53  % Running portfolio for 300 s
% 0.17/1.53  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/1.54  % Number of cores: 8
% 0.17/1.55  % Python version: Python 3.6.8
% 0.17/1.57  % Running in FO mode
% 0.36/2.10  % Total configuration time : 435
% 0.36/2.10  % Estimated wc time : 1092
% 0.36/2.10  % Estimated cpu time (7 cpus) : 156.0
% 0.36/2.42  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.42/2.47  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.42/2.49  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.42/2.51  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.42/2.53  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.45/2.55  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.45/2.57  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.45/2.64  % Solved by fo/fo3_bce.sh.
% 1.45/2.64  % BCE start: 70
% 1.45/2.64  % BCE eliminated: 0
% 1.45/2.64  % PE start: 70
% 1.45/2.64  logic: neq
% 1.45/2.64  % PE eliminated: 29
% 1.45/2.64  % done 22 iterations in 0.063s
% 1.45/2.64  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.45/2.64  % SZS output start Refutation
% See solution above
% 1.45/2.64  
% 1.45/2.64  
% 1.45/2.64  % Terminating...
% 1.96/2.87  % Runner terminated.
% 1.96/2.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------