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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO209+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.CCrwfQhgFY true

% Computer : n009.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 04:34:18 PM UTC 2025

% Result   : Theorem 0.53s 0.73s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   8 unt;   0 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  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

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

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

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

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

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

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

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

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_cl79,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_cl122,plain,
    ( ( apart_point_and_line @ sk_ @ sk__2 )
    | ( convergent_lines @ sk__2 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,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_cl124,plain,
    convergent_lines @ sk__2 @ sk__3,
    inference(clc,[status(thm)],[zip_derived_cl122,zip_derived_cl21]) ).

thf(apart6,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)],[apart6]) ).

thf(zip_derived_cl125,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ sk__3 @ X0 )
      | ( convergent_lines @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl5]) ).

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

thf(zip_derived_cl145,plain,
    convergent_lines @ sk__2 @ sk__1,
    inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl18]) ).

thf(zip_derived_cl149,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl145]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO209+2 : TPTP v9.2.0. Released v3.3.0.
% 0.11/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CCrwfQhgFY true
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Oct  1 17:46:53 EDT 2025
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  % Running portfolio for 300 s
% 0.13/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.52/0.61  % Total configuration time : 435
% 0.52/0.61  % Estimated wc time : 1092
% 0.52/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.73  % Solved by fo/fo3_bce.sh.
% 0.53/0.73  % BCE start: 23
% 0.53/0.73  % BCE eliminated: 0
% 0.53/0.73  % PE start: 23
% 0.53/0.73  logic: neq
% 0.53/0.73  % PE eliminated: 0
% 0.53/0.73  % done 63 iterations in 0.024s
% 0.53/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.73  % SZS output start Refutation
% See solution above
% 0.53/0.73  
% 0.53/0.73  
% 0.53/0.73  % Terminating...
% 0.58/0.83  % Runner terminated.
% 0.58/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------