TSTP Solution File: GEO173+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO173+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.JG1MY20QtW true

% Computer : n008.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 23:57:07 EDT 2023

% Result   : Theorem 0.22s 0.83s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   29 (   9 unt;   8 typ;   0 def)
%            Number of atoms       :   52 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  173 (  14   ~;  21   |;   5   &; 128   @)
%                                         (   0 <=>;   5  =>;   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     :    9 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   26 (   0   ^;  26   !;   0   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf(distinct_lines_type,type,
    distinct_lines: $i > $i > $o ).

thf(line_connecting_type,type,
    line_connecting: $i > $i > $i ).

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

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

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

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

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

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

thf(con,conjecture,
    ! [X: $i,Y: $i,U: $i,V: $i] :
      ( ( ( distinct_points @ X @ Y )
        & ( convergent_lines @ U @ V )
        & ( distinct_lines @ U @ ( line_connecting @ X @ Y ) ) )
     => ( ( apart_point_and_line @ X @ U )
        | ( apart_point_and_line @ Y @ U ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i,U: $i,V: $i] :
        ( ( ( distinct_points @ X @ Y )
          & ( convergent_lines @ U @ V )
          & ( distinct_lines @ U @ ( line_connecting @ X @ Y ) ) )
       => ( ( apart_point_and_line @ X @ U )
          | ( apart_point_and_line @ Y @ U ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl50,plain,
    distinct_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    distinct_points @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(cu1,axiom,
    ! [X: $i,Y: $i,U: $i,V: $i] :
      ( ( ( distinct_points @ X @ Y )
        & ( distinct_lines @ U @ V ) )
     => ( ( apart_point_and_line @ X @ U )
        | ( apart_point_and_line @ X @ V )
        | ( apart_point_and_line @ Y @ U )
        | ( apart_point_and_line @ Y @ V ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( apart_point_and_line @ X0 @ X1 )
      | ( apart_point_and_line @ X2 @ X1 )
      | ~ ( distinct_points @ X2 @ X0 )
      | ~ ( distinct_lines @ X1 @ X3 )
      | ( apart_point_and_line @ X2 @ X3 )
      | ( apart_point_and_line @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[cu1]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i] :
      ( ( apart_point_and_line @ sk__1 @ X0 )
      | ( apart_point_and_line @ sk_ @ X0 )
      | ~ ( distinct_lines @ X0 @ X1 )
      | ( apart_point_and_line @ sk_ @ X1 )
      | ( apart_point_and_line @ sk__1 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl10]) ).

thf(zip_derived_cl197,plain,
    ( ( apart_point_and_line @ sk__1 @ sk__2 )
    | ( apart_point_and_line @ sk_ @ sk__2 )
    | ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
    | ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl85]) ).

thf(zip_derived_cl52,plain,
    ~ ( apart_point_and_line @ sk__1 @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51,plain,
    ~ ( apart_point_and_line @ sk_ @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl199,plain,
    ( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
    | ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl52,zip_derived_cl51]) ).

thf(ci2,axiom,
    ! [X: $i,Y: $i] :
      ( ( distinct_points @ X @ Y )
     => ~ ( apart_point_and_line @ Y @ ( line_connecting @ X @ Y ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ X0 @ ( line_connecting @ X1 @ X0 ) )
      | ~ ( distinct_points @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[ci2]) ).

thf(zip_derived_cl206,plain,
    ( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
    | ~ ( distinct_points @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl7]) ).

thf(zip_derived_cl49_001,plain,
    distinct_points @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl207,plain,
    apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl49]) ).

thf(ci1,axiom,
    ! [X: $i,Y: $i] :
      ( ( distinct_points @ X @ Y )
     => ~ ( apart_point_and_line @ X @ ( line_connecting @ X @ Y ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ X0 @ ( line_connecting @ X0 @ X1 ) )
      | ~ ( distinct_points @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci1]) ).

thf(zip_derived_cl222,plain,
    ~ ( distinct_points @ sk_ @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl6]) ).

thf(zip_derived_cl49_002,plain,
    distinct_points @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl223,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO173+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JG1MY20QtW true
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Tue Aug 29 22:35:17 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.83  % Solved by fo/fo6_bce.sh.
% 0.22/0.83  % BCE start: 53
% 0.22/0.83  % BCE eliminated: 0
% 0.22/0.83  % PE start: 53
% 0.22/0.83  logic: neq
% 0.22/0.83  % PE eliminated: 12
% 0.22/0.83  % done 85 iterations in 0.053s
% 0.22/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.83  % SZS output start Refutation
% See solution above
% 0.22/0.83  
% 0.22/0.83  
% 0.22/0.83  % Terminating...
% 1.32/0.87  % Runner terminated.
% 1.32/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------