TSTP Solution File: GEO237+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO237+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uEu7K5iE2B 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 : Wed Aug 30 23:57:56 EDT 2023

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   16 (   5 unt;   6 typ;   0 def)
%            Number of atoms       :   21 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   66 (   6   ~;   6   |;   0   &;  49   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

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

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

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

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(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_cl59,plain,
    apart_point_and_line @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( left_apart_point @ X0 @ ( reverse_line @ X1 ) )
      | ( left_apart_point @ X0 @ X1 )
      | ~ ( apart_point_and_line @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[apt_def]) ).

thf(oag10,axiom,
    ! [A: $i,L: $i] :
      ~ ( ( left_apart_point @ A @ L )
        | ( left_apart_point @ A @ ( reverse_line @ L ) ) ) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_apart_point @ X0 @ X1 ),
    inference(cnf,[status(esa)],[oag10]) ).

thf(zip_derived_cl39_001,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_apart_point @ X0 @ X1 ),
    inference(cnf,[status(esa)],[oag10]) ).

thf(zip_derived_cl115,plain,
    ! [X0: $i,X1: $i] :
      ~ ( apart_point_and_line @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl39,zip_derived_cl39]) ).

thf(zip_derived_cl116,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl115]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GEO237+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.04/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uEu7K5iE2B true
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Aug 30 00:08:27 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.46/0.63  % Total configuration time : 435
% 0.46/0.63  % Estimated wc time : 1092
% 0.46/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75  % Solved by fo/fo6_bce.sh.
% 0.57/0.75  % BCE start: 63
% 0.57/0.75  % BCE eliminated: 0
% 0.57/0.75  % PE start: 63
% 0.57/0.75  logic: neq
% 0.57/0.75  % PE eliminated: 18
% 0.57/0.75  % done 6 iterations in 0.014s
% 0.57/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.75  % SZS output start Refutation
% See solution above
% 0.57/0.75  
% 0.57/0.75  
% 0.57/0.75  % Terminating...
% 0.62/0.85  % Runner terminated.
% 1.54/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------