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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO185+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ut45m0fwyH true

% Computer : n004.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 04:34:08 PM UTC 2025

% Result   : Theorem 0.85s 2.34s
% Output   : Refutation 0.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   20 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   41 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  134 (  19   ~;   9   |;   6   &;  94   @)
%                                         (   0 <=>;   4  =>;   2  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

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

thf(sk__type,type,
    sk_: $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] :
      ( ( ( distinct_points @ X @ Y )
        & ( convergent_lines @ U @ V )
        & ~ ( distinct_points @ X @ ( intersection_point @ U @ V ) ) )
     => ( ~ ( apart_point_and_line @ X @ U )
        & ~ ( apart_point_and_line @ X @ V ) ) ) ).

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

thf(zip_derived_cl15,plain,
    ~ ( distinct_points @ sk_ @ ( intersection_point @ 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_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_cl142,plain,
    ( ~ ( convergent_lines @ sk__2 @ sk__3 )
    | ~ ( apart_point_and_line @ sk_ @ sk__2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl9]) ).

thf(zip_derived_cl16,plain,
    convergent_lines @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ( ( apart_point_and_line @ sk_ @ sk__2 )
    | ( apart_point_and_line @ sk_ @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    ( ( apart_point_and_line @ sk_ @ sk__2 )
   <= ( apart_point_and_line @ sk_ @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl15_001,plain,
    ~ ( distinct_points @ sk_ @ ( intersection_point @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl108,plain,
    ( ~ ( convergent_lines @ sk__2 @ sk__3 )
    | ~ ( apart_point_and_line @ sk_ @ sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl8]) ).

thf(zip_derived_cl16_002,plain,
    convergent_lines @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl109,plain,
    ~ ( apart_point_and_line @ sk_ @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl16]) ).

thf(zip_derived_cl18,plain,
    ( ( apart_point_and_line @ sk_ @ sk__3 )
   <= ( apart_point_and_line @ sk_ @ sk__3 ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf('0',plain,
    ~ ( apart_point_and_line @ sk_ @ sk__3 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl109,zip_derived_cl18]) ).

thf('1',plain,
    ( ( apart_point_and_line @ sk_ @ sk__2 )
    | ( apart_point_and_line @ sk_ @ sk__3 ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf('2',plain,
    apart_point_and_line @ sk_ @ sk__2,
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl118,plain,
    apart_point_and_line @ sk_ @ sk__2,
    inference(simpl_trail,[status(thm)],[zip_derived_cl19,'2']) ).

thf(zip_derived_cl143,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl16,zip_derived_cl118]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.98  % Problem  : GEO185+2 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.99  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ut45m0fwyH true
% 0.10/1.33  % Computer : n004.cluster.edu
% 0.10/1.33  % Model    : x86_64 x86_64
% 0.10/1.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/1.33  % Memory   : 8042.1875MB
% 0.10/1.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/1.33  % CPULimit : 300
% 0.10/1.33  % WCLimit  : 300
% 0.10/1.33  % DateTime : Wed Oct  1 17:39:25 EDT 2025
% 0.10/1.35  % CPUTime  : 
% 0.10/1.35  % Running portfolio for 300 s
% 0.10/1.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/1.36  % Number of cores: 8
% 0.12/1.38  % Python version: Python 3.6.8
% 0.12/1.40  % Running in FO mode
% 0.31/1.90  % Total configuration time : 435
% 0.31/1.90  % Estimated wc time : 1092
% 0.31/1.90  % Estimated cpu time (7 cpus) : 156.0
% 0.81/2.18  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.81/2.21  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.81/2.23  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.85/2.28  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.85/2.29  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.85/2.31  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.85/2.32  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.85/2.34  % Solved by fo/fo1_av.sh.
% 0.85/2.34  % done 60 iterations in 0.030s
% 0.85/2.34  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.85/2.34  % SZS output start Refutation
% See solution above
% 0.85/2.34  
% 0.85/2.34  
% 0.85/2.34  % Terminating...
% 1.11/2.61  % Runner terminated.
% 1.11/2.61  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------