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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO268+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BxylcT78vo true

% Computer : n017.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 04:34:34 PM UTC 2025

% Result   : Theorem 0.55s 0.76s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   37 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   69 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  225 (  26   ~;  25   |;   1   &; 167   @)
%                                         (   4 <=>;   2  =>;   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     :    8 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   48 (   0   ^;  48   !;   0   ?;  48   :)

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

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

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

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

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

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

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

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(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(con,conjecture,
    ! [L: $i,M: $i] :
      ( ( unequally_directed_lines @ L @ M )
    <=> ( unequally_directed_opposite_lines @ L @ ( reverse_line @ M ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [L: $i,M: $i] :
        ( ( unequally_directed_lines @ L @ M )
      <=> ( unequally_directed_opposite_lines @ L @ ( reverse_line @ M ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl68,plain,
    ( ~ ( unequally_directed_opposite_lines @ sk_ @ ( reverse_line @ sk__1 ) )
    | ~ ( unequally_directed_lines @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl101,plain,
    ( ~ ( unequally_directed_lines @ sk_ @ ( reverse_line @ ( reverse_line @ sk__1 ) ) )
    | ~ ( unequally_directed_lines @ sk_ @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl68]) ).

thf(zip_derived_cl67,plain,
    ( ( unequally_directed_opposite_lines @ sk_ @ ( reverse_line @ sk__1 ) )
    | ( unequally_directed_lines @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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,
    ( ( unequally_directed_lines @ sk_ @ sk__1 )
    | ( unequally_directed_lines @ sk_ @ ( reverse_line @ ( reverse_line @ sk__1 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl0]) ).

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_cl133,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ sk__1 )
      | ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ ( reverse_line @ sk__1 ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl38]) ).

thf(zip_derived_cl44_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ( unequally_directed_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax8_basics]) ).

thf(ax5_basics,axiom,
    ! [L: $i] : ( equally_directed_lines @ L @ L ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] : ( equally_directed_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[ax5_basics]) ).

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_cl112,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ X0 @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl6]) ).

thf(zip_derived_cl140,plain,
    ! [X0: $i] : ( unequally_directed_lines @ ( reverse_line @ X0 ) @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl112]) ).

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_cl146,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_002,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_convergent_lines @ X0 @ X1 ),
    inference(cnf,[status(esa)],[ax11_basics]) ).

thf(zip_derived_cl147,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl146,zip_derived_cl49]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ ( reverse_line @ ( reverse_line @ X0 ) ) @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl147]) ).

thf(zip_derived_cl156,plain,
    ( ( unequally_directed_lines @ sk_ @ sk__1 )
    | ( unequally_directed_lines @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl150]) ).

thf(zip_derived_cl157,plain,
    unequally_directed_lines @ sk_ @ sk__1,
    inference(simplify,[status(thm)],[zip_derived_cl156]) ).

thf(zip_derived_cl158,plain,
    ~ ( unequally_directed_lines @ sk_ @ ( reverse_line @ ( reverse_line @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl157]) ).

thf(zip_derived_cl160,plain,
    unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl158]) ).

thf(zip_derived_cl147_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl146,zip_derived_cl49]) ).

thf(zip_derived_cl162,plain,
    ~ ( unequally_directed_lines @ sk_ @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl147]) ).

thf(zip_derived_cl157_004,plain,
    unequally_directed_lines @ sk_ @ sk__1,
    inference(simplify,[status(thm)],[zip_derived_cl156]) ).

thf(zip_derived_cl163,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl157]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO268+3 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BxylcT78vo true
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 17:26:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.54/0.65  % Total configuration time : 435
% 0.54/0.65  % Estimated wc time : 1092
% 0.54/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76  % Solved by fo/fo6_bce.sh.
% 0.55/0.76  % BCE start: 69
% 0.55/0.76  % BCE eliminated: 0
% 0.55/0.76  % PE start: 69
% 0.55/0.76  logic: neq
% 0.55/0.76  % PE eliminated: 31
% 0.55/0.76  % done 33 iterations in 0.022s
% 0.55/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.76  % SZS output start Refutation
% See solution above
% 0.55/0.76  
% 0.55/0.76  
% 0.55/0.76  % Terminating...
% 0.61/0.86  % Runner terminated.
% 0.61/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------