TSTP Solution File: GEO203+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO203+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.aBTPkEkyi8 true

% Computer : n027.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 23:57:32 EDT 2023

% Result   : Theorem 0.58s 0.88s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   40 (  10 unt;  10 typ;   0 def)
%            Number of atoms       :   71 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  332 (  21   ~;  29   |;   5   &; 270   @)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 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   :   34 (   0   ^;  34   !;   0   ?;  34   :)

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

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

thf(intersection_point_type,type,
    intersection_point: $i > $i > $i ).

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

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

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

thf(sk__2_type,type,
    sk__2: $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,Z: $i] :
      ( ( ( convergent_lines @ X @ Y )
        & ( convergent_lines @ X @ Z )
        & ( distinct_points @ ( intersection_point @ X @ Y ) @ ( intersection_point @ X @ Z ) ) )
     => ( equal_lines @ ( line_connecting @ ( intersection_point @ X @ Y ) @ ( intersection_point @ X @ Z ) ) @ X ) ) ).

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

thf(zip_derived_cl48,plain,
    ~ ( equal_lines @ ( line_connecting @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__2 ) ) @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    distinct_lines @ ( line_connecting @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__2 ) ) @ sk_,
    inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl48]) ).

thf(zip_derived_cl49,plain,
    distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__2 ),
    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_cl87,plain,
    ! [X0: $i,X1: $i] :
      ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ X0 )
      | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X0 )
      | ~ ( distinct_lines @ X0 @ X1 )
      | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X1 )
      | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl10]) ).

thf(zip_derived_cl192,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ ( line_connecting @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__2 ) ) )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ ( line_connecting @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__2 ) ) )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl87]) ).

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_cl368,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk_ )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ ( line_connecting @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__2 ) ) )
    | ~ ( distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl192,zip_derived_cl7]) ).

thf(zip_derived_cl49_001,plain,
    distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl369,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk_ )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ ( line_connecting @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl368,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_cl504,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk_ )
    | ~ ( distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl369,zip_derived_cl6]) ).

thf(zip_derived_cl49_002,plain,
    distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl505,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl49]) ).

thf(ci3,axiom,
    ! [X: $i,Y: $i] :
      ( ( convergent_lines @ X @ Y )
     => ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ X ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X0 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci3]) ).

thf(zip_derived_cl562,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
    | ~ ( convergent_lines @ sk_ @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl8]) ).

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

thf(zip_derived_cl563,plain,
    apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl562,zip_derived_cl50]) ).

thf(zip_derived_cl8_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X0 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci3]) ).

thf(zip_derived_cl577,plain,
    ~ ( convergent_lines @ sk_ @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl563,zip_derived_cl8]) ).

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

thf(zip_derived_cl578,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl577,zip_derived_cl51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO203+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aBTPkEkyi8 true
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Aug 29 19:56:08 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.50/0.66  % Total configuration time : 435
% 0.50/0.66  % Estimated wc time : 1092
% 0.50/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.88  % Solved by fo/fo6_bce.sh.
% 0.58/0.88  % BCE start: 52
% 0.58/0.88  % BCE eliminated: 0
% 0.58/0.88  % PE start: 52
% 0.58/0.88  logic: neq
% 0.58/0.88  % PE eliminated: 12
% 0.58/0.88  % done 139 iterations in 0.140s
% 0.58/0.88  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.88  % SZS output start Refutation
% See solution above
% 0.58/0.88  
% 0.58/0.88  
% 0.58/0.88  % Terminating...
% 0.60/0.97  % Runner terminated.
% 0.60/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------