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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO237+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BImJtsPJ0q true

% Computer : n020.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 04:34:27 PM UTC 2025

% Result   : Theorem 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   30 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   93 (   7   ~;   8   |;   2   &;  70   @)
%                                         (   2 <=>;   4  =>;   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     :    9 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   26 (   0   ^;  26   !;   0   ?;  26   :)

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

thf(divides_points_type,type,
    divides_points: $i > $i > $i > $o ).

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

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

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

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

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

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

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

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

thf(zip_derived_cl70,plain,
    divides_points @ sk__3 @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(a8_defns,axiom,
    ! [A: $i,B: $i,L: $i] :
      ( ( divides_points @ L @ A @ B )
    <=> ( ( ( left_apart_point @ A @ L )
          & ( right_apart_point @ B @ L ) )
        | ( ( right_apart_point @ A @ L )
          & ( left_apart_point @ B @ L ) ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( right_apart_point @ X0 @ X1 )
      | ( right_apart_point @ X2 @ X1 )
      | ~ ( divides_points @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[a8_defns]) ).

thf(zip_derived_cl127,plain,
    ( ( right_apart_point @ sk__1 @ sk__3 )
    | ( right_apart_point @ sk_ @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl70,zip_derived_cl16]) ).

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(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_cl131,plain,
    ! [X0: $i,X1: $i] :
      ~ ( right_apart_point @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl47]) ).

thf(zip_derived_cl134,plain,
    right_apart_point @ sk__1 @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl131]) ).

thf(zip_derived_cl131_001,plain,
    ! [X0: $i,X1: $i] :
      ~ ( right_apart_point @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl47]) ).

thf(zip_derived_cl135,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl131]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO237+3 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BImJtsPJ0q true
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 17:47:53 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/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
% 0.48/0.63  % Total configuration time : 435
% 0.48/0.63  % Estimated wc time : 1092
% 0.48/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74  % Solved by fo/fo6_bce.sh.
% 0.55/0.74  % BCE start: 71
% 0.55/0.74  % BCE eliminated: 0
% 0.55/0.74  % PE start: 71
% 0.55/0.74  logic: neq
% 0.55/0.74  % PE eliminated: 24
% 0.55/0.74  % done 11 iterations in 0.017s
% 0.55/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.74  % SZS output start Refutation
% See solution above
% 0.55/0.74  
% 0.55/0.74  
% 0.55/0.74  % Terminating...
% 0.61/0.85  % Runner terminated.
% 1.58/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------