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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL961_11 : TPTP v9.3.1. 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.0kjvkEofti true

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:37:41 PM UTC 2026

% Result   : Theorem 0.47s 0.75s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   27 (   0 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   65 (   4   ~;   3   |;   0   &;  42   @)
%                                         (   0 <=>;  16  =>;   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     :    7 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

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

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

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

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

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

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

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

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

thf(zip_derived_cl0,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

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

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

thf(zip_derived_cl1,plain,
    ! [X0: '$ki_world'] :
      ( ( p @ X0 )
      | ~ ( '$ki_accessible' @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl9,plain,
    ~ ( '$ki_accessible' @ sk__2 @ sk__1 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).

thf(zip_derived_cl11,plain,
    $false,
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl9]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL961_11 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0kjvkEofti true
% 0.10/0.36  % Computer : n003.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sat Sep  5 17:04:51 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  % Running portfolio for 300 s
% 0.10/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Number of cores: 8
% 0.10/0.36  % Python version: Python 3.12.3
% 0.14/0.37  % Running in FO mode
% 0.46/0.65  % Total configuration time : 435
% 0.46/0.65  % Estimated wc time : 1092
% 0.46/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.75  % Solved by fo/fo6_bce.sh.
% 0.47/0.75  % BCE start: 9
% 0.47/0.75  % BCE eliminated: 2
% 0.47/0.75  % PE start: 7
% 0.47/0.75  logic: neq
% 0.47/0.75  % PE eliminated: 5
% 0.47/0.75  % done 0 iterations in 0.005s
% 0.47/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.47/0.75  % SZS output start Refutation
% See solution above
% 0.47/0.75  
% 0.47/0.75  
% 0.47/0.75  % Terminating...
% 0.47/0.78  % Runner terminated.
% 1.32/0.80  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------