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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO902_8 : TPTP v9.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.m0nQn4TWwo true

% Computer : n026.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 05:08:32 PM UTC 2025

% Result   : Theorem 0.22s 1.50s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   33 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   95 (  13   ~;   7   |;   8   &;  63   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  12   !;   8   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf('$ki_world_type',type,
    '$ki_world': $tType ).

thf(sk__type,type,
    sk_: '$ki_world' ).

thf(p_type,type,
    p: '$ki_world' > $o ).

thf(sk__1_type,type,
    sk__1: '$ki_world' > '$ki_world' ).

thf('$ki_accessible_type',type,
    '$ki_accessible': '$ki_world' > '$ki_world' > $o ).

thf('$ki_local_world_type',type,
    '$ki_local_world': '$ki_world' ).

thf(verify,conjecture,
    ( ? [W: '$ki_world'] :
        ( ! [W0: '$ki_world'] :
            ( ( '$ki_accessible' @ W @ W0 )
           => ? [W1: '$ki_world'] :
                ( ( p @ W1 )
                & ( '$ki_accessible' @ W0 @ W1 ) ) )
        & ( '$ki_accessible' @ '$ki_local_world' @ W ) )
   => ? [W: '$ki_world'] :
        ( ? [W0: '$ki_world'] :
            ( ( p @ W0 )
            & ( '$ki_accessible' @ W @ W0 ) )
        & ( '$ki_accessible' @ '$ki_local_world' @ W ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ? [W: '$ki_world'] :
          ( ! [W0: '$ki_world'] :
              ( ( '$ki_accessible' @ W @ W0 )
             => ? [W1: '$ki_world'] :
                  ( ( p @ W1 )
                  & ( '$ki_accessible' @ W0 @ W1 ) ) )
          & ( '$ki_accessible' @ '$ki_local_world' @ W ) )
     => ? [W: '$ki_world'] :
          ( ? [W0: '$ki_world'] :
              ( ( p @ W0 )
              & ( '$ki_accessible' @ W @ W0 ) )
          & ( '$ki_accessible' @ '$ki_local_world' @ W ) ) ),
    inference('cnf.neg',[status(esa)],[verify]) ).

thf(zip_derived_cl2,plain,
    ! [X0: '$ki_world'] :
      ( ( '$ki_accessible' @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( '$ki_accessible' @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    '$ki_accessible' @ '$ki_local_world' @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mrel_reflexive,axiom,
    ! [W: '$ki_world'] : ( '$ki_accessible' @ W @ W ) ).

thf(zip_derived_cl0,plain,
    ! [X0: '$ki_world'] : ( '$ki_accessible' @ X0 @ X0 ),
    inference(cnf,[status(esa)],[mrel_reflexive]) ).

thf(zip_derived_cl1,plain,
    ! [X0: '$ki_world'] :
      ( ( p @ ( sk__1 @ X0 ) )
      | ~ ( '$ki_accessible' @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X1: '$ki_world',X2: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ X1 @ X2 )
      | ~ ( p @ X2 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk_ @ X1 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ~ ( '$ki_accessible' @ X0 @ ( sk__1 @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ~ ( '$ki_accessible' @ X0 @ ( sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl5]) ).

thf(zip_derived_cl11,plain,
    ~ ( '$ki_accessible' @ sk_ @ ( sk__1 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl6]) ).

thf(zip_derived_cl12,plain,
    ~ ( '$ki_accessible' @ sk_ @ sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl11]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: '$ki_world'] : ( '$ki_accessible' @ X0 @ X0 ),
    inference(cnf,[status(esa)],[mrel_reflexive]) ).

thf(zip_derived_cl13,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.61  % Problem  : SYO902_8 : TPTP v9.2.0. Released v8.2.0.
% 0.09/0.68  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.m0nQn4TWwo true
% 0.09/1.00  % Computer : n026.cluster.edu
% 0.09/1.00  % Model    : x86_64 x86_64
% 0.09/1.00  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/1.00  % Memory   : 8042.1875MB
% 0.09/1.00  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/1.00  % CPULimit : 300
% 0.09/1.00  % WCLimit  : 300
% 0.09/1.00  % DateTime : Wed Oct  1 17:49:09 EDT 2025
% 0.13/1.01  % CPUTime  : 
% 0.13/1.01  % Running portfolio for 300 s
% 0.13/1.01  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/1.02  % Number of cores: 8
% 0.13/1.04  % Python version: Python 3.6.8
% 0.13/1.04  % Running in FO mode
% 0.22/1.31  % Total configuration time : 435
% 0.22/1.31  % Estimated wc time : 1092
% 0.22/1.31  % Estimated cpu time (7 cpus) : 156.0
% 0.22/1.44  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/1.45  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/1.47  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/1.50  % Solved by fo/fo6_bce.sh.
% 0.22/1.50  % BCE start: 5
% 0.22/1.50  % BCE eliminated: 0
% 0.22/1.50  % PE start: 5
% 0.22/1.50  logic: neq
% 0.22/1.50  % PE eliminated: 1
% 0.22/1.50  % done 6 iterations in 0.007s
% 0.22/1.50  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/1.50  % SZS output start Refutation
% See solution above
% 0.22/1.50  
% 0.22/1.50  
% 0.22/1.50  % Terminating...
% 1.00/1.89  % Runner terminated.
% 1.03/1.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------