TSTP Solution File: GEO225+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO225+1 : 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.IgSHdYYM53 true

% Computer : n018.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 23:57:50 EDT 2023

% Result   : Theorem 0.52s 0.73s
% Output   : Refutation 0.52s
% 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_connecting_type,type,
    line_connecting: $i > $i > $i ).

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

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

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(sk__1_type,type,
    sk__1: $i ).

thf(con,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( point @ A )
        & ( point @ B )
        & ( distinct_points @ A @ B ) )
     => ? [X: $i] :
          ( ( line @ X )
         => ( ~ ( apart_point_and_line @ A @ X )
            & ~ ( apart_point_and_line @ B @ X ) ) ) ) ).

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

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

thf(apart4,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( distinct_points @ X @ Y )
     => ( ( distinct_points @ X @ Z )
        | ( distinct_points @ Y @ Z ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ X0 @ X2 )
      | ( distinct_points @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[apart4]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ( distinct_points @ sk_ @ X0 )
      | ( distinct_points @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl3]) ).

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

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_cl27,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk__1 @ X0 ) )
      | ~ ( distinct_points @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl6]) ).

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_cl44,plain,
    ( ~ ( distinct_points @ sk__1 @ sk_ )
    | ~ ( distinct_points @ sk__1 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl7]) ).

thf(zip_derived_cl45,plain,
    ~ ( distinct_points @ sk__1 @ sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl48,plain,
    distinct_points @ sk_ @ sk_,
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl45]) ).

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_cl49,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IgSHdYYM53 true
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 21:44:48 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.52/0.64  % Total configuration time : 435
% 0.52/0.64  % Estimated wc time : 1092
% 0.52/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73  % Solved by fo/fo6_bce.sh.
% 0.52/0.73  % BCE start: 23
% 0.52/0.73  % BCE eliminated: 0
% 0.52/0.73  % PE start: 23
% 0.52/0.73  logic: neq
% 0.52/0.73  % PE eliminated: 0
% 0.52/0.73  % done 23 iterations in 0.013s
% 0.52/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.73  % SZS output start Refutation
% See solution above
% 0.52/0.73  
% 0.52/0.73  
% 0.52/0.74  % Terminating...
% 0.59/0.84  % Runner terminated.
% 1.53/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------