TSTP Solution File: GEO178+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO178+2 : 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.i8U6YAzfTZ true

% Computer : n002.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 23:57:11 EDT 2023

% Result   : Theorem 0.21s 0.75s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (   8 unt;   6 typ;   0 def)
%            Number of atoms       :   32 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  102 (  10   ~;   7   |;   5   &;  76   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

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

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

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

thf(con,conjecture,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( distinct_points @ X @ Y )
        & ( apart_point_and_line @ Z @ ( line_connecting @ X @ Y ) ) )
     => ( ( distinct_points @ Z @ X )
        & ( distinct_points @ Z @ Y ) ) ) ).

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

thf(zip_derived_cl14,plain,
    ( ~ ( distinct_points @ sk__2 @ sk_ )
    | ~ ( distinct_points @ sk__2 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    apart_point_and_line @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(con1,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( distinct_points @ X @ Y )
     => ( ( apart_point_and_line @ Z @ ( line_connecting @ X @ Y ) )
       => ( ( distinct_points @ Z @ X )
          & ( distinct_points @ Z @ Y ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ X2 @ X1 )
      | ~ ( apart_point_and_line @ X2 @ ( line_connecting @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[con1]) ).

thf(zip_derived_cl28,plain,
    ( ( distinct_points @ sk__2 @ sk__1 )
    | ~ ( distinct_points @ sk_ @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl6]) ).

thf(zip_derived_cl16,plain,
    distinct_points @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    distinct_points @ sk__2 @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl16]) ).

thf(zip_derived_cl31,plain,
    ~ ( distinct_points @ sk__2 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl29]) ).

thf(zip_derived_cl15_001,plain,
    apart_point_and_line @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ X2 @ X0 )
      | ~ ( apart_point_and_line @ X2 @ ( line_connecting @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[con1]) ).

thf(zip_derived_cl40,plain,
    ( ( distinct_points @ sk__2 @ sk_ )
    | ~ ( distinct_points @ sk_ @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl7]) ).

thf(zip_derived_cl16_002,plain,
    distinct_points @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41,plain,
    distinct_points @ sk__2 @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl16]) ).

thf(zip_derived_cl44,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl41]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO178+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.i8U6YAzfTZ true
% 0.13/0.35  % Computer : n002.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 22:49:50 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % Solved by fo/fo3_bce.sh.
% 0.21/0.75  % BCE start: 17
% 0.21/0.75  % BCE eliminated: 5
% 0.21/0.75  % PE start: 12
% 0.21/0.75  logic: neq
% 0.21/0.75  % PE eliminated: 0
% 0.21/0.75  % done 20 iterations in 0.012s
% 0.21/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.75  % SZS output start Refutation
% See solution above
% 0.21/0.75  
% 0.21/0.75  
% 0.21/0.75  % Terminating...
% 1.35/0.86  % Runner terminated.
% 1.35/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------