TSTP Solution File: GEO184+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO184+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4dAL6L4ife 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 23:57:16 EDT 2023

% Result   : Theorem 0.56s 0.82s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   44 (  14 unt;  10 typ;   0 def)
%            Number of atoms       :   73 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  249 (  22   ~;  22   |;   7   &; 188   @)
%                                         (   2 <=>;   5  =>;   3  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   36 (   0   ^;  36   !;   0   ?;  36   :)

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

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

thf(equal_lines_type,type,
    equal_lines: $i > $i > $o ).

thf(incident_point_and_line_type,type,
    incident_point_and_line: $i > $i > $o ).

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(ax2,axiom,
    ! [X: $i,Y: $i] :
      ( ( equal_lines @ X @ Y )
    <=> ~ ( distinct_lines @ X @ Y ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i] :
      ( ( equal_lines @ X0 @ X1 )
      | ( distinct_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

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

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

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

thf(zip_derived_cl71,plain,
    distinct_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl52]) ).

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_cl76,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_cl254,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_cl71,zip_derived_cl76]) ).

thf(zip_derived_cl51,plain,
    incident_point_and_line @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(a4,axiom,
    ! [X: $i,Y: $i] :
      ( ( incident_point_and_line @ X @ Y )
    <=> ~ ( apart_point_and_line @ X @ Y ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ X0 @ X1 )
      | ~ ( incident_point_and_line @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl58,plain,
    ~ ( apart_point_and_line @ sk__1 @ sk__2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl44]) ).

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

thf(zip_derived_cl44_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ X0 @ X1 )
      | ~ ( incident_point_and_line @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a4]) ).

thf(zip_derived_cl57,plain,
    ~ ( apart_point_and_line @ sk_ @ sk__2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl44]) ).

thf(zip_derived_cl257,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_cl254,zip_derived_cl58,zip_derived_cl57]) ).

thf(zip_derived_cl319,plain,
    ( ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ) )
   <= ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl257]) ).

thf(zip_derived_cl318,plain,
    ( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
   <= ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl257]) ).

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_cl322,plain,
    ( ~ ( distinct_points @ sk_ @ sk__1 )
   <= ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl6]) ).

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

thf('0',plain,
    ~ ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl49]) ).

thf('1',plain,
    ( ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ) )
    | ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl257]) ).

thf('2',plain,
    apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ),
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl324,plain,
    apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl319,'2']) ).

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_cl327,plain,
    ~ ( distinct_points @ sk_ @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl7]) ).

thf(zip_derived_cl49_003,plain,
    distinct_points @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl328,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl327,zip_derived_cl49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO184+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4dAL6L4ife true
% 0.13/0.34  % Computer : n029.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 23:47:42 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.51/0.63  % Total configuration time : 435
% 0.51/0.63  % Estimated wc time : 1092
% 0.51/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.82  % Solved by fo/fo1_av.sh.
% 0.56/0.82  % done 134 iterations in 0.068s
% 0.56/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.82  % SZS output start Refutation
% See solution above
% 0.56/0.82  
% 0.56/0.82  
% 0.56/0.82  % Terminating...
% 0.56/0.87  % Runner terminated.
% 0.56/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------