TSTP Solution File: GEO226+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO226+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c6tpuAVxlT 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 23:57:51 EDT 2023

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   25 (   6 unt;   7 typ;   0 def)
%            Number of atoms       :   40 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  122 (  18   ~;   9   |;   6   &;  82   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   25 (   0   ^;  23   !;   2   ?;  25   :)

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

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

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

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

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

thf(sk__1_type,type,
    sk__1: $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_cl20,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax6,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( convergent_lines @ X @ Y )
     => ( ( convergent_lines @ X @ Z )
        | ( convergent_lines @ Y @ Z ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( convergent_lines @ X0 @ X2 )
      | ( convergent_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ sk_ @ X0 )
      | ( convergent_lines @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl5]) ).

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(ci3,axiom,
    ! [X: $i,Y: $i] :
      ( ( convergent_lines @ X @ Y )
     => ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ X ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X0 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci3]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ ( intersection_point @ sk__1 @ X0 ) @ sk_ )
      | ~ ( convergent_lines @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl8]) ).

thf(ci4,axiom,
    ! [X: $i,Y: $i] :
      ( ( convergent_lines @ X @ Y )
     => ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ Y ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X1 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci4]) ).

thf(zip_derived_cl46,plain,
    ( ~ ( convergent_lines @ sk__1 @ sk_ )
    | ~ ( convergent_lines @ sk__1 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl9]) ).

thf(zip_derived_cl47,plain,
    ~ ( convergent_lines @ sk__1 @ sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl48,plain,
    convergent_lines @ sk_ @ sk_,
    inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl47]) ).

thf(apart3,axiom,
    ! [X: $i] :
      ~ ( convergent_lines @ X @ X ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ~ ( convergent_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart3]) ).

thf(zip_derived_cl49,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO226+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c6tpuAVxlT true
% 0.14/0.33  % Computer : n016.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Tue Aug 29 23:04:31 EDT 2023
% 0.14/0.33  % CPUTime  : 
% 0.14/0.33  % Running portfolio for 300 s
% 0.14/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.33  % Number of cores: 8
% 0.14/0.33  % Python version: Python 3.6.8
% 0.14/0.33  % Running in FO mode
% 0.47/0.63  % Total configuration time : 435
% 0.47/0.63  % Estimated wc time : 1092
% 0.47/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75  % Solved by fo/fo6_bce.sh.
% 0.57/0.75  % BCE start: 23
% 0.57/0.75  % BCE eliminated: 0
% 0.57/0.75  % PE start: 23
% 0.57/0.75  logic: neq
% 0.57/0.75  % PE eliminated: 0
% 0.57/0.75  % done 25 iterations in 0.016s
% 0.57/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.75  % SZS output start Refutation
% See solution above
% 0.57/0.75  
% 0.57/0.75  
% 0.57/0.76  % Terminating...
% 0.62/0.84  % Runner terminated.
% 1.68/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------