TSTP Solution File: GEO226+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO226+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.r5OsKByqfh true

% Computer : n021.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 23:57:51 EDT 2023

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   24 (   6 unt;   8 typ;   0 def)
%            Number of atoms       :   38 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  121 (  19   ~;  10   |;   6   &;  80   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  22   !;   2   ?;  24   :)

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

thf(line_type,type,
    line: $i > $o ).

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

thf(distinct_points_type,type,
    distinct_points: $i > $i > $o ).

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

thf(point_type,type,
    point: $i > $o ).

thf(intersection_point_type,type,
    intersection_point: $i > $i > $i ).

thf(convergent_lines_type,type,
    convergent_lines: $i > $i > $o ).

thf(con,conjecture,
    ! [L: $i,M: $i] :
      ( ( ( line @ L )
        & ( line @ M )
        & ( convergent_lines @ L @ M ) )
     => ? [X: $i] :
          ( ( point @ X )
         => ( ~ ( apart_point_and_line @ X @ L )
            & ~ ( apart_point_and_line @ X @ M ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [L: $i,M: $i] :
        ( ( ( line @ L )
          & ( line @ M )
          & ( convergent_lines @ L @ M ) )
       => ? [X: $i] :
            ( ( point @ X )
           => ( ~ ( apart_point_and_line @ X @ L )
              & ~ ( apart_point_and_line @ X @ M ) ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl19,plain,
    ! [X1: $i] :
      ( ( apart_point_and_line @ X1 @ sk_ )
      | ( apart_point_and_line @ X1 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(con2,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( convergent_lines @ X @ Y )
     => ( ( ( apart_point_and_line @ Z @ X )
          | ( apart_point_and_line @ Z @ Y ) )
       => ( distinct_points @ Z @ ( intersection_point @ X @ Y ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( distinct_points @ X2 @ ( intersection_point @ X0 @ X1 ) )
      | ~ ( apart_point_and_line @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[con2]) ).

thf(apart1,axiom,
    ! [X: $i] :
      ~ ( distinct_points @ X @ X ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ~ ( distinct_points @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart1]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X1 @ X0 ) @ X0 )
      | ~ ( convergent_lines @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ ( intersection_point @ X0 @ sk__1 ) @ sk_ )
      | ~ ( convergent_lines @ X0 @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl43]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( distinct_points @ X2 @ ( intersection_point @ X0 @ X1 ) )
      | ~ ( apart_point_and_line @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[con2]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] :
      ~ ( distinct_points @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart1]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X1 @ X0 ) @ X1 )
      | ~ ( convergent_lines @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).

thf(zip_derived_cl50,plain,
    ( ~ ( convergent_lines @ sk_ @ sk__1 )
    | ~ ( convergent_lines @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl47]) ).

thf(zip_derived_cl20,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20_002,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl20,zip_derived_cl20]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO226+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.r5OsKByqfh true
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 19:54:29 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.48/0.65  % Total configuration time : 435
% 0.48/0.65  % Estimated wc time : 1092
% 0.48/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74  % Solved by fo/fo6_bce.sh.
% 0.57/0.74  % BCE start: 23
% 0.57/0.74  % BCE eliminated: 0
% 0.57/0.74  % PE start: 23
% 0.57/0.74  logic: neq
% 0.57/0.74  % PE eliminated: 0
% 0.57/0.74  % done 27 iterations in 0.015s
% 0.57/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.74  % SZS output start Refutation
% See solution above
% 0.57/0.74  
% 0.57/0.74  
% 0.57/0.74  % Terminating...
% 0.57/0.86  % Runner terminated.
% 1.58/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------