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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO231+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PEqGW91GUx true

% Computer : n028.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 04:34:25 PM UTC 2025

% Result   : Theorem 0.54s 0.77s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   65 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  201 (  25   ~;  21   |;   3   &; 145   @)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   51 (   0   ^;  51   !;   0   ?;  51   :)

% Comments : 
%------------------------------------------------------------------------------
thf(equally_directed_opposite_lines_type,type,
    equally_directed_opposite_lines: $i > $i > $o ).

thf(unequally_directed_lines_type,type,
    unequally_directed_lines: $i > $i > $o ).

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

thf(equally_directed_lines_type,type,
    equally_directed_lines: $i > $i > $o ).

thf(unequally_directed_opposite_lines_type,type,
    unequally_directed_opposite_lines: $i > $i > $o ).

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

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

thf(left_convergent_lines_type,type,
    left_convergent_lines: $i > $i > $o ).

thf(reverse_line_type,type,
    reverse_line: $i > $i ).

thf(con,conjecture,
    ! [L: $i,M: $i,N: $i] :
      ( ( ( equally_directed_opposite_lines @ L @ M )
        & ( equally_directed_lines @ L @ N ) )
     => ( equally_directed_opposite_lines @ M @ N ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [L: $i,M: $i,N: $i] :
        ( ( ( equally_directed_opposite_lines @ L @ M )
          & ( equally_directed_lines @ L @ N ) )
       => ( equally_directed_opposite_lines @ M @ N ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl68,plain,
    equally_directed_lines @ sk_ @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(a4_defns,axiom,
    ! [X: $i,Y: $i] :
      ( ( equally_directed_lines @ X @ Y )
    <=> ~ ( unequally_directed_lines @ X @ Y ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( equally_directed_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a4_defns]) ).

thf(zip_derived_cl118,plain,
    ~ ( unequally_directed_lines @ sk_ @ sk__2 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl6]) ).

thf(ax8_basics,axiom,
    ! [L: $i,M: $i] :
      ( ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
      | ( unequally_directed_lines @ L @ M ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ( unequally_directed_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax8_basics]) ).

thf(zip_derived_cl69,plain,
    equally_directed_opposite_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(a1_defns,axiom,
    ! [X: $i,Y: $i] :
      ( ( unequally_directed_opposite_lines @ X @ Y )
    <=> ( unequally_directed_lines @ X @ ( reverse_line @ Y ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_opposite_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(cnf,[status(esa)],[a1_defns]) ).

thf(a5_defns,axiom,
    ! [X: $i,Y: $i] :
      ( ( equally_directed_opposite_lines @ X @ Y )
    <=> ~ ( unequally_directed_opposite_lines @ X @ Y ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_opposite_lines @ X0 @ X1 )
      | ~ ( equally_directed_opposite_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a5_defns]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X1 @ ( reverse_line @ X0 ) )
      | ~ ( equally_directed_opposite_lines @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).

thf(zip_derived_cl103,plain,
    ~ ( unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl101]) ).

thf(zip_derived_cl147,plain,
    unequally_directed_lines @ sk_ @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl103]) ).

thf(ax6_basics,axiom,
    ! [L: $i,M: $i,N: $i] :
      ( ( unequally_directed_lines @ L @ M )
     => ( ( unequally_directed_lines @ L @ N )
        | ( unequally_directed_lines @ M @ N ) ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ X0 @ X2 )
      | ( unequally_directed_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ax6_basics]) ).

thf(zip_derived_cl153,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl38]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( equally_directed_opposite_lines @ X0 @ X1 )
      | ( unequally_directed_opposite_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a5_defns]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ~ ( unequally_directed_opposite_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a1_defns]) ).

thf(zip_derived_cl102,plain,
    ! [X0: $i,X1: $i] :
      ( ( equally_directed_opposite_lines @ X1 @ X0 )
      | ( unequally_directed_lines @ X1 @ ( reverse_line @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).

thf(zip_derived_cl67,plain,
    ~ ( equally_directed_opposite_lines @ sk__1 @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104,plain,
    unequally_directed_lines @ sk__1 @ ( reverse_line @ sk__2 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl102,zip_derived_cl67]) ).

thf(ax9_basics,axiom,
    ! [L: $i,M: $i] :
      ( ( ( unequally_directed_lines @ L @ M )
        & ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) )
     => ( ( left_convergent_lines @ L @ M )
        | ( left_convergent_lines @ L @ ( reverse_line @ M ) ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i] :
      ( ( left_convergent_lines @ X0 @ ( reverse_line @ X1 ) )
      | ( left_convergent_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ~ ( unequally_directed_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax9_basics]) ).

thf(ax11_basics,axiom,
    ! [L: $i,M: $i] :
      ~ ( ( left_convergent_lines @ L @ M )
        | ( left_convergent_lines @ L @ ( reverse_line @ M ) ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_convergent_lines @ X0 @ X1 ),
    inference(cnf,[status(esa)],[ax11_basics]) ).

thf(zip_derived_cl154,plain,
    ! [X0: $i,X1: $i] :
      ( ( left_convergent_lines @ X0 @ ( reverse_line @ X1 ) )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ~ ( unequally_directed_lines @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl49]) ).

thf(zip_derived_cl49_001,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_convergent_lines @ X0 @ X1 ),
    inference(cnf,[status(esa)],[ax11_basics]) ).

thf(zip_derived_cl155,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl154,zip_derived_cl49]) ).

thf(zip_derived_cl159,plain,
    ~ ( unequally_directed_lines @ sk__1 @ sk__2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl155]) ).

thf(zip_derived_cl164,plain,
    unequally_directed_lines @ sk_ @ sk__2,
    inference('s_sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl159]) ).

thf(zip_derived_cl165,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl164]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : GEO231+3 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PEqGW91GUx true
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed Oct  1 17:43:23 EDT 2025
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.46/0.62  % Total configuration time : 435
% 0.46/0.62  % Estimated wc time : 1092
% 0.46/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.77  % Solved by fo/fo6_bce.sh.
% 0.54/0.77  % BCE start: 70
% 0.54/0.77  % BCE eliminated: 0
% 0.54/0.77  % PE start: 70
% 0.54/0.77  logic: neq
% 0.54/0.77  % PE eliminated: 31
% 0.54/0.77  % done 36 iterations in 0.040s
% 0.54/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.77  % SZS output start Refutation
% See solution above
% 0.54/0.77  
% 0.54/0.77  
% 0.54/0.77  % Terminating...
% 0.59/0.85  % Runner terminated.
% 1.67/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------