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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO899_8 : TPTP v9.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.o5z9kpa7da true

% Computer : n019.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 05:08:31 PM UTC 2025

% Result   : Theorem 0.52s 0.75s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   37 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   96 (  14   ~;   9   |;   4   &;  59   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 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   :   16 (   0   ^;  12   !;   4   ?;  16   :)

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

thf(q_type,type,
    q: '$ki_world' > $o ).

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

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

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

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

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

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

thf(zip_derived_cl3,plain,
    ! [X1: '$ki_world'] :
      ( ~ ( q @ X1 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk_ @ X0 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ sk_ )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl3]) ).

thf(zip_derived_cl2,plain,
    '$ki_accessible' @ '$ki_local_world' @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk_ @ X0 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    ~ ( '$ki_accessible' @ '$ki_local_world' @ sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl7]) ).

thf(zip_derived_cl2_001,plain,
    '$ki_accessible' @ '$ki_local_world' @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYO899_8 : TPTP v9.2.0. Released v8.2.0.
% 0.11/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.o5z9kpa7da true
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 17:54:23 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.51/0.60  % Total configuration time : 435
% 0.51/0.60  % Estimated wc time : 1092
% 0.51/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.75  % Solved by fo/fo6_bce.sh.
% 0.52/0.75  % BCE start: 5
% 0.52/0.75  % BCE eliminated: 0
% 0.52/0.75  % PE start: 5
% 0.52/0.75  logic: neq
% 0.52/0.75  % PE eliminated: 2
% 0.52/0.75  % done 3 iterations in 0.005s
% 0.52/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.75  % SZS output start Refutation
% See solution above
% 0.52/0.75  
% 0.52/0.75  
% 0.52/0.75  % Terminating...
% 0.54/0.82  % Runner terminated.
% 0.54/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------