TSTP Solution File: GEO237+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO237+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gAcPKWvRgu true

% Computer : n016.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 : Wed Aug 30 23:57:57 EDT 2023

% Result   : Theorem 0.53s 0.74s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   21 (   6 unt;   7 typ;   0 def)
%            Number of atoms       :   28 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   84 (   7   ~;   8   |;   0   &;  63   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

% 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__2_type,type,
    sk__2: $i ).

thf(sk__3_type,type,
    sk__3: $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(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_cl67,plain,
    apart_point_and_line @ sk__2 @ sk__3,
    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(zip_derived_cl114,plain,
    ( ( left_apart_point @ sk__2 @ sk__3 )
    | ( right_apart_point @ sk__2 @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl10]) ).

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(clc,[status(thm)],[zip_derived_cl2,zip_derived_cl47]) ).

thf(zip_derived_cl139,plain,
    left_apart_point @ sk__2 @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl131]) ).

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

thf(zip_derived_cl140,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl47]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO237+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gAcPKWvRgu true
% 0.13/0.34  % Computer : n016.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 : Tue Aug 29 23:44:16 EDT 2023
% 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.53/0.66  % Total configuration time : 435
% 0.53/0.66  % Estimated wc time : 1092
% 0.53/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74  % Solved by fo/fo3_bce.sh.
% 0.53/0.74  % BCE start: 71
% 0.53/0.74  % BCE eliminated: 0
% 0.53/0.74  % PE start: 71
% 0.53/0.74  logic: neq
% 0.53/0.74  % PE eliminated: 22
% 0.53/0.74  % done 17 iterations in 0.017s
% 0.53/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.74  % SZS output start Refutation
% See solution above
% 0.53/0.74  
% 0.53/0.74  
% 0.53/0.74  % Terminating...
% 0.58/0.86  % Runner terminated.
% 1.58/0.87  % Zipperpin 1.5 exiting
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