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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO888_10 : 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.EZLbOWT5Bv true

% Computer : n004.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 05:08:28 PM UTC 2025

% Result   : Theorem 0.54s 0.72s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   17 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   55 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  169 (  23   ~;  16   |;   2   &; 108   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  19   !;   0   ?;  19   :)

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

thf(g_type,type,
    g: '$ki_world' > $i > $o ).

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

thf(h_type,type,
    h: '$ki_world' > $i > $o ).

thf(f_type,type,
    f: '$ki_world' > $i > $o ).

thf('$ki_exists_in_world_$i_type',type,
    '$ki_exists_in_world_$i': '$ki_world' > $i > $o ).

thf(sk__2_type,type,
    sk__2: '$ki_world' ).

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

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

thf(verify,conjecture,
    ( ( ! [X: $i] :
          ( ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ X )
         => ( ( f @ '$ki_local_world' @ X )
           => ! [W: '$ki_world'] :
                ( ( '$ki_accessible' @ '$ki_local_world' @ W )
               => ( g @ W @ X ) ) ) )
      & ! [X: $i] :
          ( ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ X )
         => ( ( g @ '$ki_local_world' @ X )
           => ! [W: '$ki_world'] :
                ( ( '$ki_accessible' @ '$ki_local_world' @ W )
               => ( h @ W @ X ) ) ) ) )
   => ! [X: $i] :
        ( ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ X )
       => ( ( f @ '$ki_local_world' @ X )
         => ! [W: '$ki_world'] :
              ( ( '$ki_accessible' @ '$ki_local_world' @ W )
             => ( h @ W @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [X: $i] :
            ( ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ X )
           => ( ( f @ '$ki_local_world' @ X )
             => ! [W: '$ki_world'] :
                  ( ( '$ki_accessible' @ '$ki_local_world' @ W )
                 => ( g @ W @ X ) ) ) )
        & ! [X: $i] :
            ( ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ X )
           => ( ( g @ '$ki_local_world' @ X )
             => ! [W: '$ki_world'] :
                  ( ( '$ki_accessible' @ '$ki_local_world' @ W )
                 => ( h @ W @ X ) ) ) ) )
     => ! [X: $i] :
          ( ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ X )
         => ( ( f @ '$ki_local_world' @ X )
           => ! [W: '$ki_world'] :
                ( ( '$ki_accessible' @ '$ki_local_world' @ W )
               => ( h @ W @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[verify]) ).

thf(zip_derived_cl5,plain,
    f @ '$ki_local_world' @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: '$ki_world'] :
      ( ~ ( f @ '$ki_local_world' @ X0 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
      | ( g @ X1 @ X0 )
      | ~ ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ sk__1 )
      | ( g @ X0 @ sk__1 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl3]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i,X3: '$ki_world'] :
      ( ~ ( g @ '$ki_local_world' @ X2 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
      | ( h @ X3 @ X2 )
      | ~ ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ~ ( h @ sk__2 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ( ~ ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ sk__1 )
    | ~ ( '$ki_accessible' @ '$ki_local_world' @ sk__2 )
    | ~ ( g @ '$ki_local_world' @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).

thf(zip_derived_cl11,plain,
    ( ~ ( '$ki_accessible' @ '$ki_local_world' @ '$ki_local_world' )
    | ~ ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ sk__1 )
    | ~ ( '$ki_accessible' @ '$ki_local_world' @ sk__2 )
    | ~ ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl10]) ).

thf(zip_derived_cl12,plain,
    ( ~ ( '$ki_accessible' @ '$ki_local_world' @ sk__2 )
    | ~ ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ sk__1 )
    | ~ ( '$ki_accessible' @ '$ki_local_world' @ '$ki_local_world' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11]) ).

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_cl13,plain,
    ( ~ ( '$ki_accessible' @ '$ki_local_world' @ sk__2 )
    | ~ ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    '$ki_accessible' @ '$ki_local_world' @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ~ ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl6]) ).

thf(zip_derived_cl8,plain,
    '$ki_exists_in_world_$i' @ '$ki_local_world' @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl8]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SYO888_10 : TPTP v9.2.0. Released v8.2.0.
% 0.08/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EZLbOWT5Bv true
% 0.12/0.33  % Computer : n004.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 18:05:08 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.54/0.63  % Total configuration time : 435
% 0.54/0.63  % Estimated wc time : 1092
% 0.54/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.72  % Solved by fo/fo6_bce.sh.
% 0.54/0.72  % BCE start: 9
% 0.54/0.72  % BCE eliminated: 0
% 0.54/0.72  % PE start: 9
% 0.54/0.72  logic: neq
% 0.54/0.72  % PE eliminated: 3
% 0.54/0.72  % done 5 iterations in 0.007s
% 0.54/0.72  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.72  % SZS output start Refutation
% See solution above
% 0.54/0.72  
% 0.54/0.72  
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.72  % Terminating...
% 0.63/0.75  % Runner terminated.
% 0.63/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------