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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO191+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KI9iujh8a8 true

% Computer : n012.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 : Thu Oct  2 04:34:11 PM UTC 2025

% Result   : Theorem 5.45s 1.94s
% Output   : Refutation 5.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   35 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   85 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  327 (  21   ~;  39   |;   5   &; 256   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   43 (   0   ^;  43   !;   0   ?;  43   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

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

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

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

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

thf(con,conjecture,
    ! [X: $i,Y: $i,U: $i,V: $i] :
      ( ( ( convergent_lines @ X @ Y )
        & ( convergent_lines @ U @ V )
        & ( ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ U )
          | ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ V ) ) )
     => ( ( apart_point_and_line @ ( intersection_point @ U @ V ) @ X )
        | ( apart_point_and_line @ ( intersection_point @ U @ V ) @ Y ) ) ) ).

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

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

thf(ceq3,axiom,
    ! [X: $i,Y: $i] :
      ( ( convergent_lines @ X @ Y )
     => ( distinct_lines @ X @ Y ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( distinct_lines @ X0 @ X1 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ceq3]) ).

thf(zip_derived_cl19,plain,
    distinct_lines @ sk_ @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl13]) ).

thf(zip_derived_cl16,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__2 )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(con2,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( convergent_lines @ X @ Y )
     => ( ( ( apart_point_and_line @ Z @ X )
          | ( apart_point_and_line @ Z @ Y ) )
       => ( distinct_points @ Z @ ( intersection_point @ X @ Y ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( distinct_points @ X2 @ ( intersection_point @ X0 @ X1 ) )
      | ~ ( apart_point_and_line @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[con2]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ( distinct_points @ X0 @ ( intersection_point @ sk__2 @ sk__3 ) )
      | ~ ( apart_point_and_line @ X0 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl8]) ).

thf(zip_derived_cl47,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__2 )
    | ( distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk__2 @ sk__3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl41]) ).

thf(zip_derived_cl17_001,plain,
    convergent_lines @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( distinct_points @ X2 @ ( intersection_point @ X0 @ X1 ) )
      | ~ ( apart_point_and_line @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[con2]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( distinct_points @ X0 @ ( intersection_point @ sk__2 @ sk__3 ) )
      | ~ ( apart_point_and_line @ X0 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl9]) ).

thf(zip_derived_cl265,plain,
    distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk__2 @ sk__3 ),
    inference(clc,[status(thm)],[zip_derived_cl47,zip_derived_cl45]) ).

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_cl267,plain,
    ! [X0: $i,X1: $i] :
      ( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ 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__2 @ sk__3 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl10]) ).

thf(zip_derived_cl2424,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_ )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
    | ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl267]) ).

thf(zip_derived_cl15,plain,
    ~ ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2495,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
    | ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2424,zip_derived_cl15]) ).

thf(zip_derived_cl14,plain,
    ~ ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2523,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
    | ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ ) ),
    inference(clc,[status(thm)],[zip_derived_cl2495,zip_derived_cl14]) ).

thf(zip_derived_cl18_002,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( distinct_points @ X2 @ ( intersection_point @ X0 @ X1 ) )
      | ~ ( apart_point_and_line @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[con2]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i] :
      ( ( distinct_points @ X0 @ ( intersection_point @ sk_ @ sk__1 ) )
      | ~ ( apart_point_and_line @ X0 @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl8]) ).

thf(zip_derived_cl2558,plain,
    ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
    | ( distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2523,zip_derived_cl39]) ).

thf(zip_derived_cl18_004,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( distinct_points @ X2 @ ( intersection_point @ X0 @ X1 ) )
      | ~ ( apart_point_and_line @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[con2]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ( distinct_points @ X0 @ ( intersection_point @ sk_ @ sk__1 ) )
      | ~ ( apart_point_and_line @ X0 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl9]) ).

thf(zip_derived_cl2582,plain,
    distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__1 ),
    inference(clc,[status(thm)],[zip_derived_cl2558,zip_derived_cl43]) ).

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_cl2583,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl2582,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO191+2 : TPTP v9.2.0. Released v3.3.0.
% 0.09/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KI9iujh8a8 true
% 0.09/0.35  % Computer : n012.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8042.1875MB
% 0.09/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Wed Oct  1 17:29:23 EDT 2025
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  % Running portfolio for 300 s
% 0.09/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Number of cores: 8
% 0.09/0.36  % Python version: Python 3.6.8
% 0.09/0.36  % Running in FO mode
% 0.40/0.63  % Total configuration time : 435
% 0.40/0.63  % Estimated wc time : 1092
% 0.40/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.40/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.40/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.40/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.40/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.45/1.94  % Solved by fo/fo13.sh.
% 5.45/1.94  % done 898 iterations in 0.991s
% 5.45/1.94  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.45/1.94  % SZS output start Refutation
% See solution above
% 5.45/1.94  
% 5.45/1.94  
% 5.45/1.94  % Terminating...
% 5.76/2.08  % Runner terminated.
% 5.79/2.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------