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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO887_22 : 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.Fpv0AWqruV true

% Computer : n011.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 0.53s 0.71s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   30 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   93 (  13   ~;   7   |;   6   &;  63   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;  11   !;   6   ?;  17   :)

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

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

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

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

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

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

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

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

thf(zip_derived_cl5,plain,
    ! [X0: '$ki_world'] :
      ( ( '$ki_exists_in_world_$i' @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    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_cl4,plain,
    ! [X0: '$ki_world'] :
      ( ( f @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X1: '$ki_world',X2: $i] :
      ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
      | ~ ( f @ X1 @ X2 )
      | ~ ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ~ ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ ( sk__1 @ X0 ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).

thf(zip_derived_cl8,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ ( sk__1 @ X0 ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    ~ ( '$ki_exists_in_world_$i' @ '$ki_local_world' @ ( sk__1 @ '$ki_local_world' ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl8]) ).

thf(zip_derived_cl13,plain,
    ~ ( '$ki_accessible' @ '$ki_local_world' @ '$ki_local_world' ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).

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

thf(zip_derived_cl14,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYO887_22 : TPTP v9.2.0. Released v8.2.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Fpv0AWqruV true
% 0.12/0.33  % Computer : n011.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 17:56:38 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
% 0.45/0.62  % Total configuration time : 435
% 0.45/0.62  % Estimated wc time : 1092
% 0.45/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71  % Solved by fo/fo6_bce.sh.
% 0.53/0.71  % BCE start: 7
% 0.53/0.71  % BCE eliminated: 0
% 0.53/0.71  % PE start: 7
% 0.53/0.71  logic: neq
% 0.53/0.71  % PE eliminated: 1
% 0.53/0.71  % done 5 iterations in 0.009s
% 0.53/0.71  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.71  % SZS output start Refutation
% See solution above
% 0.53/0.71  
% 0.53/0.71  
% 0.53/0.71  % Terminating...
% 0.53/0.73  % Runner terminated.
% 0.53/0.74  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------