TSTP Solution File: GEO209+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO209+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.6Ahw10iLZW true

% Computer : n029.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 23:57:37 EDT 2023

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (   8 unt;   7 typ;   0 def)
%            Number of atoms       :   41 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  121 (  17   ~;  12   |;   8   &;  80   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

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

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

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

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

thf(sk__3_type,type,
    sk__3: $i ).

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

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

thf(con,conjecture,
    ! [A: $i,L: $i,M: $i,N: $i] :
      ( ( ( apart_point_and_line @ A @ L )
        & ~ ( apart_point_and_line @ A @ M )
        & ~ ( apart_point_and_line @ A @ N )
        & ~ ( convergent_lines @ M @ L )
        & ~ ( convergent_lines @ N @ L ) )
     => ~ ( distinct_lines @ M @ N ) ) ).

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

thf(zip_derived_cl22,plain,
    ~ ( convergent_lines @ sk__2 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    distinct_lines @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(cup1,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( distinct_lines @ Y @ Z )
     => ( ( apart_point_and_line @ X @ Y )
        | ( apart_point_and_line @ X @ Z )
        | ( convergent_lines @ Y @ Z ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( apart_point_and_line @ X0 @ X1 )
      | ~ ( distinct_lines @ X1 @ X2 )
      | ( apart_point_and_line @ X0 @ X2 )
      | ( convergent_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[cup1]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ sk__2 @ sk__3 )
      | ( apart_point_and_line @ X0 @ sk__3 )
      | ( apart_point_and_line @ X0 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl16]) ).

thf(zip_derived_cl19,plain,
    ~ ( apart_point_and_line @ sk_ @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl161,plain,
    ( ( apart_point_and_line @ sk_ @ sk__2 )
    | ( convergent_lines @ sk__2 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl19]) ).

thf(zip_derived_cl21,plain,
    ~ ( apart_point_and_line @ sk_ @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl165,plain,
    convergent_lines @ sk__2 @ sk__3,
    inference(clc,[status(thm)],[zip_derived_cl161,zip_derived_cl21]) ).

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_cl166,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ sk__3 @ X0 )
      | ( convergent_lines @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl5]) ).

thf(zip_derived_cl18,plain,
    ~ ( convergent_lines @ sk__3 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl171,plain,
    convergent_lines @ sk__2 @ sk__1,
    inference('sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl18]) ).

thf(zip_derived_cl174,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl171]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO209+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6Ahw10iLZW true
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Aug 30 00:20:27 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.56/0.66  % Total configuration time : 435
% 0.56/0.66  % Estimated wc time : 1092
% 0.56/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74  % Solved by fo/fo3_bce.sh.
% 0.56/0.74  % BCE start: 23
% 0.56/0.74  % BCE eliminated: 0
% 0.56/0.74  % PE start: 23
% 0.56/0.74  logic: neq
% 0.56/0.74  % PE eliminated: 0
% 0.56/0.74  % done 75 iterations in 0.027s
% 0.56/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.74  % SZS output start Refutation
% See solution above
% 0.56/0.74  
% 0.56/0.74  
% 0.56/0.74  % Terminating...
% 1.55/0.85  % Runner terminated.
% 1.55/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------