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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL941_5 : TPTP v9.3.1. 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.qpK49MATxP true

% Computer : n015.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 01:37:36 PM UTC 2026

% Result   : Theorem 9.90s 2.10s
% Output   : Refutation 10.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :  690 (  34 unt;   0 typ;   0 def)
%            Number of atoms       : 4828 (   0 equ;   0 cnn)
%            Maximal formula atoms :  128 (   6 avg)
%            Number of connectives : 23555 (2323   ~;3849   |;  63   &;17094   @)
%                                         (   0 <=>; 130  =>;  96  <=;   0 <~>)
%            Maximal formula depth :   25 (  12 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  25 usr;  23 con; 0-3 aty)
%            Number of variables   : 2408 (   0   ^;2408   !;   0   ?;2408   :)

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

thf(sk__92_type,type,
    sk__92: '$ki_world' ).

thf(sk__87_type,type,
    sk__87: '$ki_world' ).

thf(sk__90_type,type,
    sk__90: '$ki_world' ).

thf(sk__89_type,type,
    sk__89: '$ki_world' ).

thf(sk__88_type,type,
    sk__88: '$ki_world' ).

thf(sk__86_type,type,
    sk__86: '$ki_world' ).

thf(sk__99_type,type,
    sk__99: '$ki_world' ).

thf(sk__98_type,type,
    sk__98: '$ki_world' ).

thf(e2_type,type,
    e2: $i ).

thf(sk__83_type,type,
    sk__83: '$ki_world' ).

thf(sk__93_type,type,
    sk__93: '$ki_world' ).

thf(sk__94_type,type,
    sk__94: '$ki_world' ).

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

thf(e0_type,type,
    e0: $i ).

thf(e3_type,type,
    e3: $i ).

thf(e1_type,type,
    e1: $i ).

thf(sk__84_type,type,
    sk__84: '$ki_world' ).

thf(sk__97_type,type,
    sk__97: '$ki_world' ).

thf(qmltpeq_type,type,
    qmltpeq: '$ki_world' > $i > $i > $o ).

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

thf(sk__96_type,type,
    sk__96: '$ki_world' ).

thf(sk__85_type,type,
    sk__85: '$ki_world' ).

thf(sk__91_type,type,
    sk__91: '$ki_world' ).

thf(sk__95_type,type,
    sk__95: '$ki_world' ).

thf(op_type,type,
    op: $i > $i > $i ).

thf(verify,conjecture,
    ( ! [W: '$ki_world'] :
        ( ( '$ki_accessible' @ '$ki_local_world' @ W )
       => ~ ( ( ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e0 @ e0 ) @ e0 ) )
              & ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e1 @ e1 ) @ e0 ) )
              & ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e2 @ e2 ) @ e0 ) )
              & ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e3 @ e3 ) @ e0 ) ) )
            | ( ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e0 @ e0 ) @ e1 ) )
              & ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e1 @ e1 ) @ e1 ) )
              & ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e2 @ e2 ) @ e1 ) )
              & ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e3 @ e3 ) @ e1 ) ) )
            | ( ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e0 @ e0 ) @ e2 ) )
              & ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e1 @ e1 ) @ e2 ) )
              & ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e2 @ e2 ) @ e2 ) )
              & ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e3 @ e3 ) @ e2 ) ) )
            | ( ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e0 @ e0 ) @ e3 ) )
              & ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e1 @ e1 ) @ e3 ) )
              & ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e2 @ e2 ) @ e3 ) )
              & ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( qmltpeq @ W0 @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) )
    | ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e3 ) @ e3 ) )
      & ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e2 ) @ e3 ) )
      & ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e1 ) @ e3 ) )
      & ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e0 ) @ e3 ) ) )
    | ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e3 ) @ e2 ) )
      & ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e2 ) @ e2 ) )
      & ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e1 ) @ e2 ) )
      & ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e0 ) @ e2 ) ) )
    | ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e3 ) @ e1 ) )
      & ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e2 ) @ e1 ) )
      & ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e1 ) @ e1 ) )
      & ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e0 ) @ e1 ) ) )
    | ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e3 ) @ e0 ) )
      & ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e2 ) @ e0 ) )
      & ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e1 ) @ e0 ) )
      & ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e0 ) @ e0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ~ ( ( ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e0 @ e0 ) @ e0 ) )
                & ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e1 @ e1 ) @ e0 ) )
                & ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e2 @ e2 ) @ e0 ) )
                & ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e3 @ e3 ) @ e0 ) ) )
              | ( ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e0 @ e0 ) @ e1 ) )
                & ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e1 @ e1 ) @ e1 ) )
                & ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e2 @ e2 ) @ e1 ) )
                & ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e3 @ e3 ) @ e1 ) ) )
              | ( ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e0 @ e0 ) @ e2 ) )
                & ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e1 @ e1 ) @ e2 ) )
                & ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e2 @ e2 ) @ e2 ) )
                & ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e3 @ e3 ) @ e2 ) ) )
              | ( ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e0 @ e0 ) @ e3 ) )
                & ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e1 @ e1 ) @ e3 ) )
                & ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e2 @ e2 ) @ e3 ) )
                & ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( qmltpeq @ W0 @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) )
      | ( ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e3 @ e3 ) @ e3 ) )
        & ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e2 @ e2 ) @ e3 ) )
        & ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e1 @ e1 ) @ e3 ) )
        & ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e0 @ e0 ) @ e3 ) ) )
      | ( ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e3 @ e3 ) @ e2 ) )
        & ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e2 @ e2 ) @ e2 ) )
        & ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e1 @ e1 ) @ e2 ) )
        & ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e0 @ e0 ) @ e2 ) ) )
      | ( ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e3 @ e3 ) @ e1 ) )
        & ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e2 @ e2 ) @ e1 ) )
        & ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e1 @ e1 ) @ e1 ) )
        & ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e0 @ e0 ) @ e1 ) ) )
      | ( ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e3 @ e3 ) @ e0 ) )
        & ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e2 @ e2 ) @ e0 ) )
        & ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e1 @ e1 ) @ e0 ) )
        & ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ( qmltpeq @ W @ ( op @ e0 @ e0 ) @ e0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[verify]) ).

thf(zip_derived_cl378,plain,
    ! [X0: '$ki_world',X5: '$ki_world',X7: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl378]) ).

thf(zip_derived_cl377,plain,
    ! [X0: '$ki_world',X4: '$ki_world',X7: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl377]) ).

thf(zip_derived_cl379,plain,
    ! [X0: '$ki_world',X6: '$ki_world',X7: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl379]) ).

thf(zip_derived_cl393,plain,
    ! [X0: '$ki_world',X4: '$ki_world',X7: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl393]) ).

thf(zip_derived_cl394,plain,
    ! [X0: '$ki_world',X5: '$ki_world',X7: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl394]) ).

thf(zip_derived_cl392,plain,
    ! [X0: '$ki_world',X3: '$ki_world',X7: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl392]) ).

thf(zip_derived_cl395,plain,
    ! [X0: '$ki_world',X6: '$ki_world',X7: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl395]) ).

thf(zip_derived_cl389,plain,
    ! [X0: '$ki_world',X2: '$ki_world',X4: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl389]) ).

thf(zip_derived_cl373,plain,
    ! [X0: '$ki_world',X2: '$ki_world',X4: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl373]) ).

thf(zip_derived_cl374,plain,
    ! [X0: '$ki_world',X2: '$ki_world',X5: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl374]) ).

thf(zip_derived_cl372,plain,
    ! [X0: '$ki_world',X2: '$ki_world',X3: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl372]) ).

thf(zip_derived_cl375,plain,
    ! [X0: '$ki_world',X2: '$ki_world',X6: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl375]) ).

thf(ax1,axiom,
    ( ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e3 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e3 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e3 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e3 ) @ e0 ) ) )
    & ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e2 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e2 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e2 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e2 ) @ e0 ) ) )
    & ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e1 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e1 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e1 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e1 ) @ e0 ) ) )
    & ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e0 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e0 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e0 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e3 @ e0 ) @ e0 ) ) )
    & ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e3 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e3 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e3 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e3 ) @ e0 ) ) )
    & ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e2 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e2 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e2 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e2 ) @ e0 ) ) )
    & ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e1 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e1 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e1 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e1 ) @ e0 ) ) )
    & ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e0 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e0 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e0 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e2 @ e0 ) @ e0 ) ) )
    & ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e3 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e3 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e3 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e3 ) @ e0 ) ) )
    & ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e2 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e2 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e2 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e2 ) @ e0 ) ) )
    & ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e1 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e1 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e1 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e1 ) @ e0 ) ) )
    & ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e0 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e0 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e0 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e1 @ e0 ) @ e0 ) ) )
    & ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e3 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e3 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e3 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e3 ) @ e0 ) ) )
    & ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e2 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e2 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e2 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e2 ) @ e0 ) ) )
    & ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e1 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e1 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e1 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e1 ) @ e0 ) ) )
    & ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e0 ) @ e3 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e0 ) @ e2 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e0 ) @ e1 ) )
      | ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( qmltpeq @ W @ ( op @ e0 @ e0 ) @ e0 ) ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e0 @ e0 ) @ e2 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e0 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl600,plain,
    ( ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e3 ) )
   <= ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

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(zip_derived_cl2206,plain,
    ( ! [X0: '$ki_world'] : ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e3 )
   <= ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl600,zip_derived_cl0]) ).

thf(zip_derived_cl324,plain,
    ( ~ ( qmltpeq @ sk__84 @ ( op @ e3 @ e3 ) @ e3 )
    | ( '$ki_accessible' @ '$ki_local_world' @ sk__85 )
    | ~ ( qmltpeq @ sk__86 @ ( op @ e1 @ e1 ) @ e3 )
    | ~ ( qmltpeq @ sk__87 @ ( op @ e0 @ e0 ) @ e3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl873,plain,
    ( ~ ( qmltpeq @ sk__87 @ ( op @ e0 @ e0 ) @ e3 )
   <= ~ ( qmltpeq @ sk__87 @ ( op @ e0 @ e0 ) @ e3 ) ),
    inference(split,[status(esa)],[zip_derived_cl324]) ).

thf('12',plain,
    ( ( qmltpeq @ sk__87 @ ( op @ e0 @ e0 ) @ e3 )
    | ~ ! [X0: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
          | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2206,zip_derived_cl873]) ).

thf(zip_derived_cl390,plain,
    ! [X0: '$ki_world',X2: '$ki_world',X5: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl390]) ).

thf(zip_derived_cl391,plain,
    ! [X0: '$ki_world',X2: '$ki_world',X6: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl391]) ).

thf('15',plain,
    ( ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e3 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl597,plain,
    ( ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e0 ) )
   <= ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl2051,plain,
    ( ! [X3: '$ki_world'] : ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e0 )
   <= ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl597,zip_derived_cl0]) ).

thf(zip_derived_cl276,plain,
    ( ~ ( qmltpeq @ sk__96 @ ( op @ e3 @ e3 ) @ e0 )
    | ( '$ki_accessible' @ '$ki_local_world' @ sk__97 )
    | ~ ( qmltpeq @ sk__98 @ ( op @ e1 @ e1 ) @ e0 )
    | ~ ( qmltpeq @ sk__99 @ ( op @ e0 @ e0 ) @ e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl681,plain,
    ( ~ ( qmltpeq @ sk__99 @ ( op @ e0 @ e0 ) @ e0 )
   <= ~ ( qmltpeq @ sk__99 @ ( op @ e0 @ e0 ) @ e0 ) ),
    inference(split,[status(esa)],[zip_derived_cl276]) ).

thf('16',plain,
    ( ~ ! [X3: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
          | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ( qmltpeq @ sk__99 @ ( op @ e0 @ e0 ) @ e0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2051,zip_derived_cl681]) ).

thf(zip_derived_cl598,plain,
    ( ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e1 ) )
   <= ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl2086,plain,
    ( ! [X2: '$ki_world'] : ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e1 )
   <= ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl598,zip_derived_cl0]) ).

thf(zip_derived_cl292,plain,
    ( ~ ( qmltpeq @ sk__92 @ ( op @ e3 @ e3 ) @ e1 )
    | ( '$ki_accessible' @ '$ki_local_world' @ sk__93 )
    | ~ ( qmltpeq @ sk__94 @ ( op @ e1 @ e1 ) @ e1 )
    | ~ ( qmltpeq @ sk__95 @ ( op @ e0 @ e0 ) @ e1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl745,plain,
    ( ~ ( qmltpeq @ sk__95 @ ( op @ e0 @ e0 ) @ e1 )
   <= ~ ( qmltpeq @ sk__95 @ ( op @ e0 @ e0 ) @ e1 ) ),
    inference(split,[status(esa)],[zip_derived_cl292]) ).

thf('17',plain,
    ( ~ ! [X2: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
          | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ( qmltpeq @ sk__95 @ ( op @ e0 @ e0 ) @ e1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2086,zip_derived_cl745]) ).

thf(zip_derived_cl599,plain,
    ( ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e0 @ e0 ) @ e2 ) )
   <= ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e0 @ e0 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl2146,plain,
    ( ! [X1: '$ki_world'] : ( qmltpeq @ X1 @ ( op @ e0 @ e0 ) @ e2 )
   <= ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e0 @ e0 ) @ e2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl599,zip_derived_cl0]) ).

thf(zip_derived_cl308,plain,
    ( ~ ( qmltpeq @ sk__88 @ ( op @ e3 @ e3 ) @ e2 )
    | ( '$ki_accessible' @ '$ki_local_world' @ sk__89 )
    | ~ ( qmltpeq @ sk__90 @ ( op @ e1 @ e1 ) @ e2 )
    | ~ ( qmltpeq @ sk__91 @ ( op @ e0 @ e0 ) @ e2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl809,plain,
    ( ~ ( qmltpeq @ sk__91 @ ( op @ e0 @ e0 ) @ e2 )
   <= ~ ( qmltpeq @ sk__91 @ ( op @ e0 @ e0 ) @ e2 ) ),
    inference(split,[status(esa)],[zip_derived_cl308]) ).

thf('18',plain,
    ( ~ ! [X1: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
          | ( qmltpeq @ X1 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ( qmltpeq @ sk__91 @ ( op @ e0 @ e0 ) @ e2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2146,zip_derived_cl809]) ).

thf(zip_derived_cl385,plain,
    ! [X0: '$ki_world',X4: '$ki_world',X9: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl385]) ).

thf(zip_derived_cl401,plain,
    ! [X0: '$ki_world',X4: '$ki_world',X9: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('20',plain,
    ( ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl401]) ).

thf(zip_derived_cl387,plain,
    ! [X0: '$ki_world',X6: '$ki_world',X9: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl387]) ).

thf(zip_derived_cl384,plain,
    ! [X0: '$ki_world',X3: '$ki_world',X9: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl384]) ).

thf(zip_derived_cl386,plain,
    ! [X0: '$ki_world',X5: '$ki_world',X9: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl386]) ).

thf(zip_derived_cl403,plain,
    ! [X0: '$ki_world',X6: '$ki_world',X9: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl403]) ).

thf(zip_derived_cl402,plain,
    ! [X0: '$ki_world',X5: '$ki_world',X9: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl402]) ).

thf(zip_derived_cl400,plain,
    ! [X0: '$ki_world',X3: '$ki_world',X9: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('26',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl400]) ).

thf(zip_derived_cl396,plain,
    ! [X0: '$ki_world',X3: '$ki_world',X8: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl396]) ).

thf(zip_derived_cl397,plain,
    ! [X0: '$ki_world',X4: '$ki_world',X8: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl397]) ).

thf(zip_derived_cl398,plain,
    ! [X0: '$ki_world',X5: '$ki_world',X8: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('29',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl398]) ).

thf(zip_derived_cl399,plain,
    ! [X0: '$ki_world',X6: '$ki_world',X8: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl399]) ).

thf(zip_derived_cl381,plain,
    ! [X0: '$ki_world',X4: '$ki_world',X8: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl381]) ).

thf(zip_derived_cl382,plain,
    ! [X0: '$ki_world',X5: '$ki_world',X8: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl382]) ).

thf(zip_derived_cl383,plain,
    ! [X0: '$ki_world',X6: '$ki_world',X8: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl383]) ).

thf(zip_derived_cl380,plain,
    ! [X0: '$ki_world',X3: '$ki_world',X8: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl380]) ).

thf(zip_derived_cl473,plain,
    ! [X1: '$ki_world',X4: '$ki_world',X7: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('35',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl473]) ).

thf(zip_derived_cl537,plain,
    ! [X1: '$ki_world',X4: '$ki_world',X7: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl537]) ).

thf(zip_derived_cl545,plain,
    ! [X1: '$ki_world',X4: '$ki_world',X9: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl545]) ).

thf(zip_derived_cl541,plain,
    ! [X1: '$ki_world',X4: '$ki_world',X8: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl541]) ).

thf(zip_derived_cl477,plain,
    ! [X1: '$ki_world',X4: '$ki_world',X8: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl477]) ).

thf(zip_derived_cl481,plain,
    ! [X1: '$ki_world',X4: '$ki_world',X9: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl481]) ).

thf(zip_derived_cl585,plain,
    ! [X4: '$ki_world',X7: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl585]) ).

thf(zip_derived_cl553,plain,
    ! [X4: '$ki_world',X7: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl553]) ).

thf(zip_derived_cl569,plain,
    ! [X4: '$ki_world',X7: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl569]) ).

thf(zip_derived_cl577,plain,
    ! [X4: '$ki_world',X9: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl577]) ).

thf(zip_derived_cl573,plain,
    ! [X4: '$ki_world',X8: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl573]) ).

thf(zip_derived_cl561,plain,
    ! [X4: '$ki_world',X9: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl561]) ).

thf(zip_derived_cl557,plain,
    ! [X4: '$ki_world',X8: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl557]) ).

thf(zip_derived_cl589,plain,
    ! [X4: '$ki_world',X8: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl589]) ).

thf(zip_derived_cl593,plain,
    ! [X4: '$ki_world',X9: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl593]) ).

thf(zip_derived_cl505,plain,
    ! [X4: '$ki_world',X7: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl505]) ).

thf(zip_derived_cl489,plain,
    ! [X4: '$ki_world',X7: '$ki_world',X10: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl489]) ).

thf(zip_derived_cl497,plain,
    ! [X4: '$ki_world',X9: '$ki_world',X10: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('52',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl497]) ).

thf(zip_derived_cl493,plain,
    ! [X4: '$ki_world',X8: '$ki_world',X10: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('53',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl493]) ).

thf(zip_derived_cl509,plain,
    ! [X4: '$ki_world',X8: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl509]) ).

thf(zip_derived_cl513,plain,
    ! [X4: '$ki_world',X9: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl513]) ).

thf(zip_derived_cl529,plain,
    ! [X4: '$ki_world',X9: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl529]) ).

thf(zip_derived_cl521,plain,
    ! [X4: '$ki_world',X7: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl521]) ).

thf(zip_derived_cl525,plain,
    ! [X4: '$ki_world',X8: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('58',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl525]) ).

thf(zip_derived_cl539,plain,
    ! [X1: '$ki_world',X6: '$ki_world',X7: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl539]) ).

thf(zip_derived_cl538,plain,
    ! [X1: '$ki_world',X5: '$ki_world',X7: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl538]) ).

thf(zip_derived_cl555,plain,
    ! [X6: '$ki_world',X7: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl555]) ).

thf(zip_derived_cl571,plain,
    ! [X6: '$ki_world',X7: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl571]) ).

thf(zip_derived_cl587,plain,
    ! [X6: '$ki_world',X7: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl587]) ).

thf(zip_derived_cl570,plain,
    ! [X5: '$ki_world',X7: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl570]) ).

thf(zip_derived_cl586,plain,
    ! [X5: '$ki_world',X7: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl586]) ).

thf(zip_derived_cl554,plain,
    ! [X5: '$ki_world',X7: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl554]) ).

thf(zip_derived_cl542,plain,
    ! [X1: '$ki_world',X5: '$ki_world',X8: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl542]) ).

thf(zip_derived_cl543,plain,
    ! [X1: '$ki_world',X6: '$ki_world',X8: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl543]) ).

thf(zip_derived_cl32,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e2 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
      | ( qmltpeq @ X3 @ ( op @ e3 @ e3 ) @ e0 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl660,plain,
    ( ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e3 @ e3 ) @ e3 ) )
   <= ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e3 @ e3 ) @ e3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl0_004,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3053,plain,
    ( ! [X0: '$ki_world'] : ( qmltpeq @ X0 @ ( op @ e3 @ e3 ) @ e3 )
   <= ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e3 @ e3 ) @ e3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl660,zip_derived_cl0]) ).

thf(zip_derived_cl876,plain,
    ( ~ ( qmltpeq @ sk__84 @ ( op @ e3 @ e3 ) @ e3 )
   <= ~ ( qmltpeq @ sk__84 @ ( op @ e3 @ e3 ) @ e3 ) ),
    inference(split,[status(esa)],[zip_derived_cl324]) ).

thf('69',plain,
    ( ~ ! [X0: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
          | ( qmltpeq @ X0 @ ( op @ e3 @ e3 ) @ e3 ) )
    | ( qmltpeq @ sk__84 @ ( op @ e3 @ e3 ) @ e3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3053,zip_derived_cl876]) ).

thf(zip_derived_cl546,plain,
    ! [X1: '$ki_world',X5: '$ki_world',X9: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('70',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl546]) ).

thf('71',plain,
    ( ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e3 @ e3 ) @ e3 ) )
    | ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl659,plain,
    ( ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e2 ) )
   <= ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl0_005,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3043,plain,
    ( ! [X1: '$ki_world'] : ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e2 )
   <= ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl659,zip_derived_cl0]) ).

thf(zip_derived_cl812,plain,
    ( ~ ( qmltpeq @ sk__88 @ ( op @ e3 @ e3 ) @ e2 )
   <= ~ ( qmltpeq @ sk__88 @ ( op @ e3 @ e3 ) @ e2 ) ),
    inference(split,[status(esa)],[zip_derived_cl308]) ).

thf('72',plain,
    ( ~ ! [X1: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
          | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ( qmltpeq @ sk__88 @ ( op @ e3 @ e3 ) @ e2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3043,zip_derived_cl812]) ).

thf(zip_derived_cl658,plain,
    ( ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e3 @ e3 ) @ e1 ) )
   <= ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl0_006,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3033,plain,
    ( ! [X2: '$ki_world'] : ( qmltpeq @ X2 @ ( op @ e3 @ e3 ) @ e1 )
   <= ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl658,zip_derived_cl0]) ).

thf(zip_derived_cl748,plain,
    ( ~ ( qmltpeq @ sk__92 @ ( op @ e3 @ e3 ) @ e1 )
   <= ~ ( qmltpeq @ sk__92 @ ( op @ e3 @ e3 ) @ e1 ) ),
    inference(split,[status(esa)],[zip_derived_cl292]) ).

thf('73',plain,
    ( ~ ! [X2: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
          | ( qmltpeq @ X2 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ( qmltpeq @ sk__92 @ ( op @ e3 @ e3 ) @ e1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3033,zip_derived_cl748]) ).

thf(zip_derived_cl595,plain,
    ! [X6: '$ki_world',X9: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('74',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl595]) ).

thf(zip_derived_cl563,plain,
    ! [X6: '$ki_world',X9: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl563]) ).

thf(zip_derived_cl579,plain,
    ! [X6: '$ki_world',X9: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('76',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl579]) ).

thf(zip_derived_cl575,plain,
    ! [X6: '$ki_world',X8: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl575]) ).

thf(zip_derived_cl591,plain,
    ! [X6: '$ki_world',X8: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl591]) ).

thf(zip_derived_cl559,plain,
    ! [X6: '$ki_world',X8: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl559]) ).

thf(zip_derived_cl558,plain,
    ! [X5: '$ki_world',X8: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl558]) ).

thf(zip_derived_cl574,plain,
    ! [X5: '$ki_world',X8: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl574]) ).

thf(zip_derived_cl590,plain,
    ! [X5: '$ki_world',X8: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl590]) ).

thf(zip_derived_cl578,plain,
    ! [X5: '$ki_world',X9: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('83',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl578]) ).

thf(zip_derived_cl594,plain,
    ! [X5: '$ki_world',X9: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl594]) ).

thf(zip_derived_cl562,plain,
    ! [X5: '$ki_world',X9: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl562]) ).

thf(zip_derived_cl657,plain,
    ( ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e3 @ e3 ) @ e0 ) )
   <= ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl0_007,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3017,plain,
    ( ! [X3: '$ki_world'] : ( qmltpeq @ X3 @ ( op @ e3 @ e3 ) @ e0 )
   <= ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl657,zip_derived_cl0]) ).

thf(zip_derived_cl684,plain,
    ( ~ ( qmltpeq @ sk__96 @ ( op @ e3 @ e3 ) @ e0 )
   <= ~ ( qmltpeq @ sk__96 @ ( op @ e3 @ e3 ) @ e0 ) ),
    inference(split,[status(esa)],[zip_derived_cl276]) ).

thf('86',plain,
    ( ~ ! [X3: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
          | ( qmltpeq @ X3 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ( qmltpeq @ sk__96 @ ( op @ e3 @ e3 ) @ e0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3017,zip_derived_cl684]) ).

thf(zip_derived_cl483,plain,
    ! [X1: '$ki_world',X6: '$ki_world',X9: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl483]) ).

thf(zip_derived_cl475,plain,
    ! [X1: '$ki_world',X6: '$ki_world',X7: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl475]) ).

thf(zip_derived_cl479,plain,
    ! [X1: '$ki_world',X6: '$ki_world',X8: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl479]) ).

thf(zip_derived_cl491,plain,
    ! [X6: '$ki_world',X7: '$ki_world',X10: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('90',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl491]) ).

thf(zip_derived_cl507,plain,
    ! [X6: '$ki_world',X7: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl507]) ).

thf(zip_derived_cl523,plain,
    ! [X6: '$ki_world',X7: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl523]) ).

thf(zip_derived_cl531,plain,
    ! [X6: '$ki_world',X9: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl531]) ).

thf(zip_derived_cl527,plain,
    ! [X6: '$ki_world',X8: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl527]) ).

thf(zip_derived_cl499,plain,
    ! [X6: '$ki_world',X9: '$ki_world',X10: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl499]) ).

thf(zip_derived_cl515,plain,
    ! [X6: '$ki_world',X9: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl515]) ).

thf(zip_derived_cl511,plain,
    ! [X6: '$ki_world',X8: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl511]) ).

thf(zip_derived_cl495,plain,
    ! [X6: '$ki_world',X8: '$ki_world',X10: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl495]) ).

thf(zip_derived_cl27,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e2 @ e2 ) @ e2 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
      | ( qmltpeq @ X3 @ ( op @ e2 @ e2 ) @ e0 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl639,plain,
    ( ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e2 @ e2 ) @ e2 ) )
   <= ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl0_008,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl2805,plain,
    ( ! [X1: '$ki_world'] : ( qmltpeq @ X1 @ ( op @ e2 @ e2 ) @ e2 )
   <= ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl639,zip_derived_cl0]) ).

thf(zip_derived_cl312,plain,
    ( ~ ( qmltpeq @ sk__88 @ ( op @ e3 @ e3 ) @ e2 )
    | ~ ( qmltpeq @ sk__89 @ ( op @ e2 @ e2 ) @ e2 )
    | ~ ( qmltpeq @ sk__90 @ ( op @ e1 @ e1 ) @ e2 )
    | ~ ( qmltpeq @ sk__91 @ ( op @ e0 @ e0 ) @ e2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl825,plain,
    ( ~ ( qmltpeq @ sk__89 @ ( op @ e2 @ e2 ) @ e2 )
   <= ~ ( qmltpeq @ sk__89 @ ( op @ e2 @ e2 ) @ e2 ) ),
    inference(split,[status(esa)],[zip_derived_cl312]) ).

thf('99',plain,
    ( ~ ! [X1: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
          | ( qmltpeq @ X1 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ( qmltpeq @ sk__89 @ ( op @ e2 @ e2 ) @ e2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2805,zip_derived_cl825]) ).

thf(zip_derived_cl490,plain,
    ! [X5: '$ki_world',X7: '$ki_world',X10: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl490]) ).

thf(zip_derived_cl498,plain,
    ! [X5: '$ki_world',X9: '$ki_world',X10: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl498]) ).

thf('102',plain,
    ( ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e2 @ e2 ) @ e3 ) )
    | ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e2 @ e2 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl638,plain,
    ( ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e2 @ e2 ) @ e1 ) )
   <= ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e2 @ e2 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl0_009,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl2795,plain,
    ( ! [X2: '$ki_world'] : ( qmltpeq @ X2 @ ( op @ e2 @ e2 ) @ e1 )
   <= ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e2 @ e2 ) @ e1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl638,zip_derived_cl0]) ).

thf(zip_derived_cl296,plain,
    ( ~ ( qmltpeq @ sk__92 @ ( op @ e3 @ e3 ) @ e1 )
    | ~ ( qmltpeq @ sk__93 @ ( op @ e2 @ e2 ) @ e1 )
    | ~ ( qmltpeq @ sk__94 @ ( op @ e1 @ e1 ) @ e1 )
    | ~ ( qmltpeq @ sk__95 @ ( op @ e0 @ e0 ) @ e1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl761,plain,
    ( ~ ( qmltpeq @ sk__93 @ ( op @ e2 @ e2 ) @ e1 )
   <= ~ ( qmltpeq @ sk__93 @ ( op @ e2 @ e2 ) @ e1 ) ),
    inference(split,[status(esa)],[zip_derived_cl296]) ).

thf('103',plain,
    ( ~ ! [X2: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
          | ( qmltpeq @ X2 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ( qmltpeq @ sk__93 @ ( op @ e2 @ e2 ) @ e1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2795,zip_derived_cl761]) ).

thf(zip_derived_cl478,plain,
    ! [X1: '$ki_world',X5: '$ki_world',X8: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl478]) ).

thf(zip_derived_cl474,plain,
    ! [X1: '$ki_world',X5: '$ki_world',X7: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl474]) ).

thf(zip_derived_cl482,plain,
    ! [X1: '$ki_world',X5: '$ki_world',X9: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl482]) ).

thf(zip_derived_cl530,plain,
    ! [X5: '$ki_world',X9: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl530]) ).

thf(zip_derived_cl526,plain,
    ! [X5: '$ki_world',X8: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl526]) ).

thf(zip_derived_cl522,plain,
    ! [X5: '$ki_world',X7: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl522]) ).

thf(zip_derived_cl514,plain,
    ! [X5: '$ki_world',X9: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl514]) ).

thf(zip_derived_cl506,plain,
    ! [X5: '$ki_world',X7: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('111',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl506]) ).

thf(zip_derived_cl510,plain,
    ! [X5: '$ki_world',X8: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl510]) ).

thf(zip_derived_cl640,plain,
    ( ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e2 @ e2 ) @ e3 ) )
   <= ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e2 @ e2 ) @ e3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl0_010,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl2821,plain,
    ( ! [X0: '$ki_world'] : ( qmltpeq @ X0 @ ( op @ e2 @ e2 ) @ e3 )
   <= ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e2 @ e2 ) @ e3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl0]) ).

thf(zip_derived_cl328,plain,
    ( ~ ( qmltpeq @ sk__84 @ ( op @ e3 @ e3 ) @ e3 )
    | ~ ( qmltpeq @ sk__85 @ ( op @ e2 @ e2 ) @ e3 )
    | ~ ( qmltpeq @ sk__86 @ ( op @ e1 @ e1 ) @ e3 )
    | ~ ( qmltpeq @ sk__87 @ ( op @ e0 @ e0 ) @ e3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl889,plain,
    ( ~ ( qmltpeq @ sk__85 @ ( op @ e2 @ e2 ) @ e3 )
   <= ~ ( qmltpeq @ sk__85 @ ( op @ e2 @ e2 ) @ e3 ) ),
    inference(split,[status(esa)],[zip_derived_cl328]) ).

thf('113',plain,
    ( ~ ! [X0: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
          | ( qmltpeq @ X0 @ ( op @ e2 @ e2 ) @ e3 ) )
    | ( qmltpeq @ sk__85 @ ( op @ e2 @ e2 ) @ e3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2821,zip_derived_cl889]) ).

thf(zip_derived_cl637,plain,
    ( ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e2 @ e2 ) @ e0 ) )
   <= ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e2 @ e2 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl0_011,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl2780,plain,
    ( ! [X3: '$ki_world'] : ( qmltpeq @ X3 @ ( op @ e2 @ e2 ) @ e0 )
   <= ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e2 @ e2 ) @ e0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl637,zip_derived_cl0]) ).

thf(zip_derived_cl280,plain,
    ( ~ ( qmltpeq @ sk__96 @ ( op @ e3 @ e3 ) @ e0 )
    | ~ ( qmltpeq @ sk__97 @ ( op @ e2 @ e2 ) @ e0 )
    | ~ ( qmltpeq @ sk__98 @ ( op @ e1 @ e1 ) @ e0 )
    | ~ ( qmltpeq @ sk__99 @ ( op @ e0 @ e0 ) @ e0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl697,plain,
    ( ~ ( qmltpeq @ sk__97 @ ( op @ e2 @ e2 ) @ e0 )
   <= ~ ( qmltpeq @ sk__97 @ ( op @ e2 @ e2 ) @ e0 ) ),
    inference(split,[status(esa)],[zip_derived_cl280]) ).

thf('114',plain,
    ( ~ ! [X3: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
          | ( qmltpeq @ X3 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ( qmltpeq @ sk__97 @ ( op @ e2 @ e2 ) @ e0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2780,zip_derived_cl697]) ).

thf(zip_derived_cl486,plain,
    ! [X2: '$ki_world',X5: '$ki_world',X10: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl486]) ).

thf(zip_derived_cl470,plain,
    ! [X1: '$ki_world',X2: '$ki_world',X5: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl470]) ).

thf(zip_derived_cl502,plain,
    ! [X2: '$ki_world',X5: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl502]) ).

thf(zip_derived_cl518,plain,
    ! [X2: '$ki_world',X5: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl518]) ).

thf(zip_derived_cl550,plain,
    ! [X2: '$ki_world',X5: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl550]) ).

thf(zip_derived_cl534,plain,
    ! [X1: '$ki_world',X2: '$ki_world',X5: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl534]) ).

thf(zip_derived_cl566,plain,
    ! [X2: '$ki_world',X5: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('121',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl566]) ).

thf(zip_derived_cl582,plain,
    ! [X2: '$ki_world',X5: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl582]) ).

thf(zip_derived_cl533,plain,
    ! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl533]) ).

thf(zip_derived_cl469,plain,
    ! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('124',plain,
    ( ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl469]) ).

thf(zip_derived_cl565,plain,
    ! [X2: '$ki_world',X4: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl565]) ).

thf(zip_derived_cl581,plain,
    ! [X2: '$ki_world',X4: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl581]) ).

thf(zip_derived_cl501,plain,
    ! [X2: '$ki_world',X4: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl501]) ).

thf(zip_derived_cl517,plain,
    ! [X2: '$ki_world',X4: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl517]) ).

thf(zip_derived_cl485,plain,
    ! [X2: '$ki_world',X4: '$ki_world',X10: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('129',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl485]) ).

thf(zip_derived_cl549,plain,
    ! [X2: '$ki_world',X4: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('130',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl549]) ).

thf(zip_derived_cl487,plain,
    ! [X2: '$ki_world',X6: '$ki_world',X10: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl487]) ).

thf(zip_derived_cl551,plain,
    ! [X2: '$ki_world',X6: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl551]) ).

thf(zip_derived_cl471,plain,
    ! [X1: '$ki_world',X2: '$ki_world',X6: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl471]) ).

thf(zip_derived_cl535,plain,
    ! [X1: '$ki_world',X2: '$ki_world',X6: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl535]) ).

thf(zip_derived_cl583,plain,
    ! [X2: '$ki_world',X6: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('135',plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl583]) ).

thf(zip_derived_cl519,plain,
    ! [X2: '$ki_world',X6: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl519]) ).

thf(zip_derived_cl567,plain,
    ! [X2: '$ki_world',X6: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl567]) ).

thf(zip_derived_cl503,plain,
    ! [X2: '$ki_world',X6: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl503]) ).

thf(zip_derived_cl418,plain,
    ! [X1: '$ki_world',X5: '$ki_world',X9: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl418]) ).

thf(zip_derived_cl410,plain,
    ! [X1: '$ki_world',X5: '$ki_world',X7: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl410]) ).

thf(zip_derived_cl414,plain,
    ! [X1: '$ki_world',X5: '$ki_world',X8: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl414]) ).

thf(zip_derived_cl406,plain,
    ! [X1: '$ki_world',X2: '$ki_world',X5: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl406]) ).

thf(zip_derived_cl415,plain,
    ! [X1: '$ki_world',X6: '$ki_world',X8: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl415]) ).

thf(zip_derived_cl411,plain,
    ! [X1: '$ki_world',X6: '$ki_world',X7: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl411]) ).

thf(zip_derived_cl419,plain,
    ! [X1: '$ki_world',X6: '$ki_world',X9: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl419]) ).

thf(zip_derived_cl417,plain,
    ! [X1: '$ki_world',X4: '$ki_world',X9: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl417]) ).

thf(zip_derived_cl413,plain,
    ! [X1: '$ki_world',X4: '$ki_world',X8: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl413]) ).

thf(zip_derived_cl409,plain,
    ! [X1: '$ki_world',X4: '$ki_world',X7: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl409]) ).

thf(zip_derived_cl407,plain,
    ! [X1: '$ki_world',X2: '$ki_world',X6: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl407]) ).

thf(zip_derived_cl405,plain,
    ! [X1: '$ki_world',X2: '$ki_world',X4: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl405]) ).

thf(zip_derived_cl462,plain,
    ! [X5: '$ki_world',X8: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl462]) ).

thf(zip_derived_cl461,plain,
    ! [X4: '$ki_world',X8: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('152',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl461]) ).

thf(zip_derived_cl457,plain,
    ! [X4: '$ki_world',X7: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl457]) ).

thf(zip_derived_cl458,plain,
    ! [X5: '$ki_world',X7: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl458]) ).

thf(zip_derived_cl463,plain,
    ! [X6: '$ki_world',X8: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl463]) ).

thf(zip_derived_cl459,plain,
    ! [X6: '$ki_world',X7: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl459]) ).

thf(zip_derived_cl467,plain,
    ! [X6: '$ki_world',X9: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('157',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl467]) ).

thf(zip_derived_cl465,plain,
    ! [X4: '$ki_world',X9: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('158',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl465]) ).

thf(zip_derived_cl466,plain,
    ! [X5: '$ki_world',X9: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl466]) ).

thf(zip_derived_cl451,plain,
    ! [X6: '$ki_world',X9: '$ki_world',X11: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl451]) ).

thf(zip_derived_cl450,plain,
    ! [X5: '$ki_world',X9: '$ki_world',X11: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl450]) ).

thf(zip_derived_cl449,plain,
    ! [X4: '$ki_world',X9: '$ki_world',X11: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl449]) ).

thf(zip_derived_cl447,plain,
    ! [X6: '$ki_world',X8: '$ki_world',X11: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl447]) ).

thf(zip_derived_cl446,plain,
    ! [X5: '$ki_world',X8: '$ki_world',X11: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl446]) ).

thf(zip_derived_cl445,plain,
    ! [X4: '$ki_world',X8: '$ki_world',X11: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl445]) ).

thf(zip_derived_cl22,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e1 @ e1 ) @ e2 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
      | ( qmltpeq @ X3 @ ( op @ e1 @ e1 ) @ e0 ) ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl620,plain,
    ( ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e1 @ e1 ) @ e3 ) )
   <= ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e1 @ e1 ) @ e3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl0_012,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl2584,plain,
    ( ! [X0: '$ki_world'] : ( qmltpeq @ X0 @ ( op @ e1 @ e1 ) @ e3 )
   <= ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e1 @ e1 ) @ e3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl620,zip_derived_cl0]) ).

thf(zip_derived_cl874,plain,
    ( ~ ( qmltpeq @ sk__86 @ ( op @ e1 @ e1 ) @ e3 )
   <= ~ ( qmltpeq @ sk__86 @ ( op @ e1 @ e1 ) @ e3 ) ),
    inference(split,[status(esa)],[zip_derived_cl324]) ).

thf('166',plain,
    ( ~ ! [X0: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
          | ( qmltpeq @ X0 @ ( op @ e1 @ e1 ) @ e3 ) )
    | ( qmltpeq @ sk__86 @ ( op @ e1 @ e1 ) @ e3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2584,zip_derived_cl874]) ).

thf(zip_derived_cl443,plain,
    ! [X6: '$ki_world',X7: '$ki_world',X11: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl443]) ).

thf(zip_derived_cl442,plain,
    ! [X5: '$ki_world',X7: '$ki_world',X11: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('168',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl442]) ).

thf('169',plain,
    ( ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e1 @ e1 ) @ e3 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl619,plain,
    ( ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e1 @ e1 ) @ e2 ) )
   <= ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl0_013,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl2574,plain,
    ( ! [X1: '$ki_world'] : ( qmltpeq @ X1 @ ( op @ e1 @ e1 ) @ e2 )
   <= ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl619,zip_derived_cl0]) ).

thf(zip_derived_cl810,plain,
    ( ~ ( qmltpeq @ sk__90 @ ( op @ e1 @ e1 ) @ e2 )
   <= ~ ( qmltpeq @ sk__90 @ ( op @ e1 @ e1 ) @ e2 ) ),
    inference(split,[status(esa)],[zip_derived_cl308]) ).

thf('170',plain,
    ( ~ ! [X1: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
          | ( qmltpeq @ X1 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ( qmltpeq @ sk__90 @ ( op @ e1 @ e1 ) @ e2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2574,zip_derived_cl810]) ).

thf(zip_derived_cl618,plain,
    ( ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e1 @ e1 ) @ e1 ) )
   <= ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl0_014,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl2558,plain,
    ( ! [X2: '$ki_world'] : ( qmltpeq @ X2 @ ( op @ e1 @ e1 ) @ e1 )
   <= ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl618,zip_derived_cl0]) ).

thf(zip_derived_cl746,plain,
    ( ~ ( qmltpeq @ sk__94 @ ( op @ e1 @ e1 ) @ e1 )
   <= ~ ( qmltpeq @ sk__94 @ ( op @ e1 @ e1 ) @ e1 ) ),
    inference(split,[status(esa)],[zip_derived_cl292]) ).

thf('171',plain,
    ( ~ ! [X2: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
          | ( qmltpeq @ X2 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ( qmltpeq @ sk__94 @ ( op @ e1 @ e1 ) @ e1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2558,zip_derived_cl746]) ).

thf(zip_derived_cl439,plain,
    ! [X2: '$ki_world',X6: '$ki_world',X11: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl439]) ).

thf(zip_derived_cl438,plain,
    ! [X2: '$ki_world',X5: '$ki_world',X11: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl438]) ).

thf(zip_derived_cl437,plain,
    ! [X2: '$ki_world',X4: '$ki_world',X11: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl437]) ).

thf(zip_derived_cl455,plain,
    ! [X2: '$ki_world',X6: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('175',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl455]) ).

thf(zip_derived_cl454,plain,
    ! [X2: '$ki_world',X5: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl454]) ).

thf(zip_derived_cl453,plain,
    ! [X2: '$ki_world',X4: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('177',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl453]) ).

thf(zip_derived_cl425,plain,
    ! [X4: '$ki_world',X7: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('178',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl425]) ).

thf(zip_derived_cl429,plain,
    ! [X4: '$ki_world',X8: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('179',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl429]) ).

thf(zip_derived_cl433,plain,
    ! [X4: '$ki_world',X9: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl433]) ).

thf(zip_derived_cl426,plain,
    ! [X5: '$ki_world',X7: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('181',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl426]) ).

thf(zip_derived_cl430,plain,
    ! [X5: '$ki_world',X8: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl430]) ).

thf(zip_derived_cl434,plain,
    ! [X5: '$ki_world',X9: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl434]) ).

thf(zip_derived_cl421,plain,
    ! [X2: '$ki_world',X4: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('184',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl421]) ).

thf(zip_derived_cl422,plain,
    ! [X2: '$ki_world',X5: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('185',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl422]) ).

thf(zip_derived_cl427,plain,
    ! [X6: '$ki_world',X7: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl427]) ).

thf(zip_derived_cl431,plain,
    ! [X6: '$ki_world',X8: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('187',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl431]) ).

thf(zip_derived_cl435,plain,
    ! [X6: '$ki_world',X9: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('188',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl435]) ).

thf(zip_derived_cl423,plain,
    ! [X2: '$ki_world',X6: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('189',plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl423]) ).

thf(zip_derived_cl617,plain,
    ( ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e1 @ e1 ) @ e0 ) )
   <= ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e1 @ e1 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl0_015,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl2548,plain,
    ( ! [X3: '$ki_world'] : ( qmltpeq @ X3 @ ( op @ e1 @ e1 ) @ e0 )
   <= ! [X3: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
        | ( qmltpeq @ X3 @ ( op @ e1 @ e1 ) @ e0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl617,zip_derived_cl0]) ).

thf(zip_derived_cl682,plain,
    ( ~ ( qmltpeq @ sk__98 @ ( op @ e1 @ e1 ) @ e0 )
   <= ~ ( qmltpeq @ sk__98 @ ( op @ e1 @ e1 ) @ e0 ) ),
    inference(split,[status(esa)],[zip_derived_cl276]) ).

thf('190',plain,
    ( ~ ! [X3: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
          | ( qmltpeq @ X3 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ( qmltpeq @ sk__98 @ ( op @ e1 @ e1 ) @ e0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2548,zip_derived_cl682]) ).

thf(zip_derived_cl408,plain,
    ! [X1: '$ki_world',X3: '$ki_world',X7: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('191',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl408]) ).

thf(zip_derived_cl424,plain,
    ! [X3: '$ki_world',X7: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('192',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl424]) ).

thf(zip_derived_cl440,plain,
    ! [X3: '$ki_world',X7: '$ki_world',X11: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('193',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl440]) ).

thf(zip_derived_cl456,plain,
    ! [X3: '$ki_world',X7: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('194',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl456]) ).

thf(zip_derived_cl536,plain,
    ! [X1: '$ki_world',X3: '$ki_world',X7: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('195',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl536]) ).

thf(zip_derived_cl552,plain,
    ! [X3: '$ki_world',X7: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('196',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl552]) ).

thf(zip_derived_cl584,plain,
    ! [X3: '$ki_world',X7: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('197',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl584]) ).

thf(zip_derived_cl568,plain,
    ! [X3: '$ki_world',X7: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl568]) ).

thf(zip_derived_cl520,plain,
    ! [X3: '$ki_world',X7: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl520]) ).

thf(zip_derived_cl504,plain,
    ! [X3: '$ki_world',X7: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('200',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl504]) ).

thf(zip_derived_cl488,plain,
    ! [X3: '$ki_world',X7: '$ki_world',X10: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('201',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl488]) ).

thf(zip_derived_cl472,plain,
    ! [X1: '$ki_world',X3: '$ki_world',X7: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('202',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl472]) ).

thf(zip_derived_cl540,plain,
    ! [X1: '$ki_world',X3: '$ki_world',X8: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('203',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl540]) ).

thf(zip_derived_cl544,plain,
    ! [X1: '$ki_world',X3: '$ki_world',X9: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl544]) ).

thf(zip_derived_cl412,plain,
    ! [X1: '$ki_world',X3: '$ki_world',X8: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('205',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl412]) ).

thf(zip_derived_cl416,plain,
    ! [X1: '$ki_world',X3: '$ki_world',X9: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('206',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl416]) ).

thf(zip_derived_cl532,plain,
    ! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('207',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl404,plain,
    ! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('208',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl404]) ).

thf(zip_derived_cl476,plain,
    ! [X1: '$ki_world',X3: '$ki_world',X8: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('209',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl476]) ).

thf(zip_derived_cl468,plain,
    ! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('210',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl468]) ).

thf(zip_derived_cl480,plain,
    ! [X1: '$ki_world',X3: '$ki_world',X9: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('211',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl480]) ).

thf(zip_derived_cl580,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('212',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl580]) ).

thf(zip_derived_cl516,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('213',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl516]) ).

thf(zip_derived_cl452,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('214',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl452]) ).

thf(zip_derived_cl564,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('215',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl564]) ).

thf(zip_derived_cl500,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('216',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl500]) ).

thf(zip_derived_cl436,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X11: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('217',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl436]) ).

thf(zip_derived_cl576,plain,
    ! [X3: '$ki_world',X9: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('218',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl576]) ).

thf(zip_derived_cl448,plain,
    ! [X3: '$ki_world',X9: '$ki_world',X11: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('219',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl448]) ).

thf(zip_derived_cl592,plain,
    ! [X3: '$ki_world',X9: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('220',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl592]) ).

thf(zip_derived_cl464,plain,
    ! [X3: '$ki_world',X9: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('221',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl464]) ).

thf(zip_derived_cl528,plain,
    ! [X3: '$ki_world',X9: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('222',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl528]) ).

thf(zip_derived_cl512,plain,
    ! [X3: '$ki_world',X9: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('223',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl512]) ).

thf(zip_derived_cl524,plain,
    ! [X3: '$ki_world',X8: '$ki_world',X12: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('224',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl524]) ).

thf(zip_derived_cl460,plain,
    ! [X3: '$ki_world',X8: '$ki_world',X12: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('225',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl460]) ).

thf(zip_derived_cl588,plain,
    ! [X3: '$ki_world',X8: '$ki_world',X12: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('226',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl588]) ).

thf(zip_derived_cl508,plain,
    ! [X3: '$ki_world',X8: '$ki_world',X11: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('227',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl508]) ).

thf(zip_derived_cl444,plain,
    ! [X3: '$ki_world',X8: '$ki_world',X11: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('228',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl444]) ).

thf(zip_derived_cl572,plain,
    ! [X3: '$ki_world',X8: '$ki_world',X11: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('229',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl572]) ).

thf(zip_derived_cl496,plain,
    ! [X3: '$ki_world',X9: '$ki_world',X10: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('230',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl496]) ).

thf(zip_derived_cl432,plain,
    ! [X3: '$ki_world',X9: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('231',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl432]) ).

thf(zip_derived_cl560,plain,
    ! [X3: '$ki_world',X9: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('232',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl560]) ).

thf(zip_derived_cl428,plain,
    ! [X3: '$ki_world',X8: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('233',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl428]) ).

thf(zip_derived_cl492,plain,
    ! [X3: '$ki_world',X8: '$ki_world',X10: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('234',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl492]) ).

thf(zip_derived_cl556,plain,
    ! [X3: '$ki_world',X8: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('235',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl556]) ).

thf(zip_derived_cl1449,plain,
    ( ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
   <= ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl468]) ).

thf(zip_derived_cl0_016,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl4433,plain,
    ( ! [X14: '$ki_world'] : ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
   <= ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1449,zip_derived_cl0]) ).

thf(zip_derived_cl697_017,plain,
    ( ~ ( qmltpeq @ sk__97 @ ( op @ e2 @ e2 ) @ e0 )
   <= ~ ( qmltpeq @ sk__97 @ ( op @ e2 @ e2 ) @ e0 ) ),
    inference(split,[status(esa)],[zip_derived_cl280]) ).

thf('236',plain,
    ( ( qmltpeq @ sk__97 @ ( op @ e2 @ e2 ) @ e0 )
    | ~ ! [X14: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
          | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4433,zip_derived_cl697]) ).

thf(zip_derived_cl1705,plain,
    ( ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) )
   <= ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl532]) ).

thf(zip_derived_cl0_018,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl4790,plain,
    ( ! [X15: '$ki_world'] : ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
   <= ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1705,zip_derived_cl0]) ).

thf(zip_derived_cl684_019,plain,
    ( ~ ( qmltpeq @ sk__96 @ ( op @ e3 @ e3 ) @ e0 )
   <= ~ ( qmltpeq @ sk__96 @ ( op @ e3 @ e3 ) @ e0 ) ),
    inference(split,[status(esa)],[zip_derived_cl276]) ).

thf('237',plain,
    ( ( qmltpeq @ sk__96 @ ( op @ e3 @ e3 ) @ e0 )
    | ~ ! [X15: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
          | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4790,zip_derived_cl684]) ).

thf(zip_derived_cl1193,plain,
    ( ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
   <= ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl404]) ).

thf(zip_derived_cl0_020,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3703,plain,
    ( ! [X13: '$ki_world'] : ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
   <= ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1193,zip_derived_cl0]) ).

thf(zip_derived_cl682_021,plain,
    ( ~ ( qmltpeq @ sk__98 @ ( op @ e1 @ e1 ) @ e0 )
   <= ~ ( qmltpeq @ sk__98 @ ( op @ e1 @ e1 ) @ e0 ) ),
    inference(split,[status(esa)],[zip_derived_cl276]) ).

thf('238',plain,
    ( ( qmltpeq @ sk__98 @ ( op @ e1 @ e1 ) @ e0 )
    | ~ ! [X13: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
          | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3703,zip_derived_cl682]) ).

thf(zip_derived_cl484,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X10: '$ki_world',X14: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
      | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('239',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X14: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X14 )
        | ( qmltpeq @ X14 @ ( op @ e2 @ e2 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl484]) ).

thf(zip_derived_cl548,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X10: '$ki_world',X15: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
      | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('240',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X15: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X15 )
        | ( qmltpeq @ X15 @ ( op @ e3 @ e3 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl548]) ).

thf(zip_derived_cl420,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X10: '$ki_world',X13: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
      | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('241',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X13: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X13 )
        | ( qmltpeq @ X13 @ ( op @ e1 @ e1 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl420]) ).

thf('242',plain,
    ( ~ ( qmltpeq @ sk__99 @ ( op @ e0 @ e0 ) @ e0 )
    | ~ ( qmltpeq @ sk__97 @ ( op @ e2 @ e2 ) @ e0 )
    | ~ ( qmltpeq @ sk__96 @ ( op @ e3 @ e3 ) @ e0 )
    | ~ ( qmltpeq @ sk__98 @ ( op @ e1 @ e1 ) @ e0 ) ),
    inference(split,[status(esa)],[zip_derived_cl280]) ).

thf(zip_derived_cl340,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl940,plain,
    ( ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
   <= ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl340]) ).

thf(zip_derived_cl0_022,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3104,plain,
    ( ! [X0: '$ki_world'] : ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
   <= ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl940,zip_derived_cl0]) ).

thf(zip_derived_cl681_023,plain,
    ( ~ ( qmltpeq @ sk__99 @ ( op @ e0 @ e0 ) @ e0 )
   <= ~ ( qmltpeq @ sk__99 @ ( op @ e0 @ e0 ) @ e0 ) ),
    inference(split,[status(esa)],[zip_derived_cl276]) ).

thf('243',plain,
    ( ~ ! [X0: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
          | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ( qmltpeq @ sk__99 @ ( op @ e0 @ e0 ) @ e0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3104,zip_derived_cl681]) ).

thf(zip_derived_cl388,plain,
    ! [X0: '$ki_world',X2: '$ki_world',X3: '$ki_world',X12: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X12 )
      | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1129,plain,
    ( ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) )
   <= ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl388]) ).

thf(zip_derived_cl0_024,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3561,plain,
    ( ! [X12: '$ki_world'] : ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 )
   <= ! [X12: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
        | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1129,zip_derived_cl0]) ).

thf(zip_derived_cl745_025,plain,
    ( ~ ( qmltpeq @ sk__95 @ ( op @ e0 @ e0 ) @ e1 )
   <= ~ ( qmltpeq @ sk__95 @ ( op @ e0 @ e0 ) @ e1 ) ),
    inference(split,[status(esa)],[zip_derived_cl292]) ).

thf('244',plain,
    ( ( qmltpeq @ sk__95 @ ( op @ e0 @ e0 ) @ e1 )
    | ~ ! [X12: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ sk__83 @ X12 )
          | ( qmltpeq @ X12 @ ( op @ e0 @ e0 ) @ e1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3561,zip_derived_cl745]) ).

thf(zip_derived_cl344,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X3: '$ki_world',X7: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('245',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl344]) ).

thf(zip_derived_cl345,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X4: '$ki_world',X7: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('246',plain,
    ( ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl345]) ).

thf(zip_derived_cl346,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X5: '$ki_world',X7: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('247',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl346]) ).

thf(zip_derived_cl347,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X6: '$ki_world',X7: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('248',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl347]) ).

thf(zip_derived_cl353,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X4: '$ki_world',X9: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('249',plain,
    ( ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl353]) ).

thf(zip_derived_cl355,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X6: '$ki_world',X9: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('250',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl355]) ).

thf(zip_derived_cl341,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X4: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('251',plain,
    ( ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl341]) ).

thf(zip_derived_cl343,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X6: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('252',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl343]) ).

thf(zip_derived_cl354,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X5: '$ki_world',X9: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('253',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl354]) ).

thf(zip_derived_cl342,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X5: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('254',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl342]) ).

thf(zip_derived_cl349,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X4: '$ki_world',X8: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('255',plain,
    ( ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl349]) ).

thf(zip_derived_cl350,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X5: '$ki_world',X8: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('256',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl350]) ).

thf(zip_derived_cl351,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X6: '$ki_world',X8: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('257',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl351]) ).

thf(zip_derived_cl352,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X3: '$ki_world',X9: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('258',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl352]) ).

thf('259',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl340]) ).

thf(zip_derived_cl348,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X3: '$ki_world',X8: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X1 )
      | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('260',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl348]) ).

thf(zip_derived_cl939,plain,
    ( ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) )
   <= ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl340]) ).

thf(zip_derived_cl0_026,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3094,plain,
    ( ! [X1: '$ki_world'] : ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 )
   <= ! [X1: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
        | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl939,zip_derived_cl0]) ).

thf(zip_derived_cl748_027,plain,
    ( ~ ( qmltpeq @ sk__92 @ ( op @ e3 @ e3 ) @ e1 )
   <= ~ ( qmltpeq @ sk__92 @ ( op @ e3 @ e3 ) @ e1 ) ),
    inference(split,[status(esa)],[zip_derived_cl292]) ).

thf('261',plain,
    ( ( qmltpeq @ sk__92 @ ( op @ e3 @ e3 ) @ e1 )
    | ~ ! [X1: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ sk__83 @ X1 )
          | ( qmltpeq @ X1 @ ( op @ e3 @ e3 ) @ e1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3094,zip_derived_cl748]) ).

thf('262',plain,
    ( ~ ( qmltpeq @ sk__92 @ ( op @ e3 @ e3 ) @ e1 )
    | ~ ( qmltpeq @ sk__94 @ ( op @ e1 @ e1 ) @ e1 )
    | ~ ( qmltpeq @ sk__93 @ ( op @ e2 @ e2 ) @ e1 )
    | ~ ( qmltpeq @ sk__95 @ ( op @ e0 @ e0 ) @ e1 ) ),
    inference(split,[status(esa)],[zip_derived_cl296]) ).

thf(zip_derived_cl356,plain,
    ! [X0: '$ki_world',X2: '$ki_world',X3: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1001,plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
   <= ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl356]) ).

thf(zip_derived_cl0_028,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3294,plain,
    ( ! [X10: '$ki_world'] : ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
   <= ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1001,zip_derived_cl0]) ).

thf(zip_derived_cl761_029,plain,
    ( ~ ( qmltpeq @ sk__93 @ ( op @ e2 @ e2 ) @ e1 )
   <= ~ ( qmltpeq @ sk__93 @ ( op @ e2 @ e2 ) @ e1 ) ),
    inference(split,[status(esa)],[zip_derived_cl296]) ).

thf('263',plain,
    ( ( qmltpeq @ sk__93 @ ( op @ e2 @ e2 ) @ e1 )
    | ~ ! [X10: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
          | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3294,zip_derived_cl761]) ).

thf(zip_derived_cl369,plain,
    ! [X0: '$ki_world',X4: '$ki_world',X9: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('264',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl369]) ).

thf(zip_derived_cl371,plain,
    ! [X0: '$ki_world',X6: '$ki_world',X9: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('265',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl371]) ).

thf(zip_derived_cl361,plain,
    ! [X0: '$ki_world',X4: '$ki_world',X7: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('266',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl361]) ).

thf(zip_derived_cl363,plain,
    ! [X0: '$ki_world',X6: '$ki_world',X7: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('267',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl363]) ).

thf(zip_derived_cl368,plain,
    ! [X0: '$ki_world',X3: '$ki_world',X9: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('268',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl368]) ).

thf(zip_derived_cl360,plain,
    ! [X0: '$ki_world',X3: '$ki_world',X7: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('269',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl360]) ).

thf(zip_derived_cl364,plain,
    ! [X0: '$ki_world',X3: '$ki_world',X8: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('270',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl364]) ).

thf(zip_derived_cl365,plain,
    ! [X0: '$ki_world',X4: '$ki_world',X8: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('271',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl365]) ).

thf(zip_derived_cl367,plain,
    ! [X0: '$ki_world',X6: '$ki_world',X8: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('272',plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl367]) ).

thf(zip_derived_cl985,plain,
    ( ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
   <= ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl352]) ).

thf(zip_derived_cl0_030,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3256,plain,
    ( ! [X9: '$ki_world'] : ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
   <= ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl985,zip_derived_cl0]) ).

thf(zip_derived_cl812_031,plain,
    ( ~ ( qmltpeq @ sk__88 @ ( op @ e3 @ e3 ) @ e2 )
   <= ~ ( qmltpeq @ sk__88 @ ( op @ e3 @ e3 ) @ e2 ) ),
    inference(split,[status(esa)],[zip_derived_cl308]) ).

thf('273',plain,
    ( ( qmltpeq @ sk__88 @ ( op @ e3 @ e3 ) @ e2 )
    | ~ ! [X9: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
          | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3256,zip_derived_cl812]) ).

thf(zip_derived_cl969,plain,
    ( ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) )
   <= ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl348]) ).

thf(zip_derived_cl0_032,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3212,plain,
    ( ! [X8: '$ki_world'] : ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
   <= ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl969,zip_derived_cl0]) ).

thf(zip_derived_cl825_033,plain,
    ( ~ ( qmltpeq @ sk__89 @ ( op @ e2 @ e2 ) @ e2 )
   <= ~ ( qmltpeq @ sk__89 @ ( op @ e2 @ e2 ) @ e2 ) ),
    inference(split,[status(esa)],[zip_derived_cl312]) ).

thf('274',plain,
    ( ( qmltpeq @ sk__89 @ ( op @ e2 @ e2 ) @ e2 )
    | ~ ! [X8: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
          | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3212,zip_derived_cl825]) ).

thf(zip_derived_cl953,plain,
    ( ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
   <= ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl344]) ).

thf(zip_derived_cl0_034,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3173,plain,
    ( ! [X7: '$ki_world'] : ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
   <= ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl953,zip_derived_cl0]) ).

thf(zip_derived_cl810_035,plain,
    ( ~ ( qmltpeq @ sk__90 @ ( op @ e1 @ e1 ) @ e2 )
   <= ~ ( qmltpeq @ sk__90 @ ( op @ e1 @ e1 ) @ e2 ) ),
    inference(split,[status(esa)],[zip_derived_cl308]) ).

thf('275',plain,
    ( ~ ! [X7: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
          | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) )
    | ( qmltpeq @ sk__90 @ ( op @ e1 @ e1 ) @ e2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3173,zip_derived_cl810]) ).

thf(zip_derived_cl370,plain,
    ! [X0: '$ki_world',X5: '$ki_world',X9: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X9 )
      | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('276',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X9: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X9 )
        | ( qmltpeq @ X9 @ ( op @ e3 @ e3 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl370]) ).

thf(zip_derived_cl366,plain,
    ! [X0: '$ki_world',X5: '$ki_world',X8: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X8 )
      | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('277',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X8: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X8 )
        | ( qmltpeq @ X8 @ ( op @ e2 @ e2 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl366]) ).

thf(zip_derived_cl362,plain,
    ! [X0: '$ki_world',X5: '$ki_world',X7: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('278',plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
    | ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl362]) ).

thf('279',plain,
    ( ~ ( qmltpeq @ sk__91 @ ( op @ e0 @ e0 ) @ e2 )
    | ~ ( qmltpeq @ sk__89 @ ( op @ e2 @ e2 ) @ e2 )
    | ~ ( qmltpeq @ sk__88 @ ( op @ e3 @ e3 ) @ e2 )
    | ~ ( qmltpeq @ sk__90 @ ( op @ e1 @ e1 ) @ e2 ) ),
    inference(split,[status(esa)],[zip_derived_cl312]) ).

thf(zip_derived_cl938,plain,
    ( ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
   <= ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl340]) ).

thf(zip_derived_cl0_036,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3078,plain,
    ( ! [X2: '$ki_world'] : ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
   <= ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl938,zip_derived_cl0]) ).

thf(zip_derived_cl809_037,plain,
    ( ~ ( qmltpeq @ sk__91 @ ( op @ e0 @ e0 ) @ e2 )
   <= ~ ( qmltpeq @ sk__91 @ ( op @ e0 @ e0 ) @ e2 ) ),
    inference(split,[status(esa)],[zip_derived_cl308]) ).

thf('280',plain,
    ( ~ ! [X2: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
          | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ( qmltpeq @ sk__91 @ ( op @ e0 @ e0 ) @ e2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3078,zip_derived_cl809]) ).

thf(zip_derived_cl945,plain,
    ( ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) )
   <= ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl342]) ).

thf(zip_derived_cl0_038,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3133,plain,
    ( ! [X5: '$ki_world'] : ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
   <= ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl945,zip_derived_cl0]) ).

thf(zip_derived_cl889_039,plain,
    ( ~ ( qmltpeq @ sk__85 @ ( op @ e2 @ e2 ) @ e3 )
   <= ~ ( qmltpeq @ sk__85 @ ( op @ e2 @ e2 ) @ e3 ) ),
    inference(split,[status(esa)],[zip_derived_cl328]) ).

thf('281',plain,
    ( ( qmltpeq @ sk__85 @ ( op @ e2 @ e2 ) @ e3 )
    | ~ ! [X5: '$ki_world'] :
          ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
          | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3133,zip_derived_cl889]) ).

thf(zip_derived_cl941,plain,
    ( ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
   <= ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl341]) ).

thf(zip_derived_cl0_040,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3120,plain,
    ( ! [X4: '$ki_world'] : ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
   <= ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl941,zip_derived_cl0]) ).

thf(zip_derived_cl874_041,plain,
    ( ~ ( qmltpeq @ sk__86 @ ( op @ e1 @ e1 ) @ e3 )
   <= ~ ( qmltpeq @ sk__86 @ ( op @ e1 @ e1 ) @ e3 ) ),
    inference(split,[status(esa)],[zip_derived_cl324]) ).

thf('282',plain,
    ( ( qmltpeq @ sk__86 @ ( op @ e1 @ e1 ) @ e3 )
    | ~ ! [X4: '$ki_world'] :
          ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
          | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3120,zip_derived_cl874]) ).

thf(zip_derived_cl949,plain,
    ( ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
   <= ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl343]) ).

thf(zip_derived_cl0_042,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3153,plain,
    ( ! [X6: '$ki_world'] : ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
   <= ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl949,zip_derived_cl0]) ).

thf(zip_derived_cl876_043,plain,
    ( ~ ( qmltpeq @ sk__84 @ ( op @ e3 @ e3 ) @ e3 )
   <= ~ ( qmltpeq @ sk__84 @ ( op @ e3 @ e3 ) @ e3 ) ),
    inference(split,[status(esa)],[zip_derived_cl324]) ).

thf('283',plain,
    ( ( qmltpeq @ sk__84 @ ( op @ e3 @ e3 ) @ e3 )
    | ~ ! [X6: '$ki_world'] :
          ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
          | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3153,zip_derived_cl876]) ).

thf(zip_derived_cl358,plain,
    ! [X0: '$ki_world',X2: '$ki_world',X5: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('284',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X5: '$ki_world'] :
        ( ( qmltpeq @ X5 @ ( op @ e2 @ e2 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl358]) ).

thf(zip_derived_cl357,plain,
    ! [X0: '$ki_world',X2: '$ki_world',X4: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('285',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X4: '$ki_world'] :
        ( ( qmltpeq @ X4 @ ( op @ e1 @ e1 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X4 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl357]) ).

thf('286',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl356]) ).

thf(zip_derived_cl359,plain,
    ! [X0: '$ki_world',X2: '$ki_world',X6: '$ki_world',X10: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X10 )
      | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X2 )
      | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 )
      | ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('287',plain,
    ( ! [X10: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X10 )
        | ( qmltpeq @ X10 @ ( op @ e2 @ e2 ) @ e1 ) )
    | ! [X6: '$ki_world'] :
        ( ( qmltpeq @ X6 @ ( op @ e3 @ e3 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X6 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X2: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X2 )
        | ( qmltpeq @ X2 @ ( op @ e0 @ e0 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl359]) ).

thf(zip_derived_cl1065,plain,
    ( ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
   <= ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl372]) ).

thf(zip_derived_cl0_044,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3424,plain,
    ( ! [X11: '$ki_world'] : ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
   <= ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1065,zip_derived_cl0]) ).

thf(zip_derived_cl746_045,plain,
    ( ~ ( qmltpeq @ sk__94 @ ( op @ e1 @ e1 ) @ e1 )
   <= ~ ( qmltpeq @ sk__94 @ ( op @ e1 @ e1 ) @ e1 ) ),
    inference(split,[status(esa)],[zip_derived_cl292]) ).

thf('288',plain,
    ( ~ ! [X11: '$ki_world'] :
          ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
          | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ( qmltpeq @ sk__94 @ ( op @ e1 @ e1 ) @ e1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3424,zip_derived_cl746]) ).

thf(zip_derived_cl376,plain,
    ! [X0: '$ki_world',X3: '$ki_world',X7: '$ki_world',X11: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
      | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 )
      | ~ ( '$ki_accessible' @ sk__83 @ X11 )
      | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 )
      | ~ ( '$ki_accessible' @ sk__83 @ X7 )
      | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 )
      | ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
      | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('289',plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
    | ! [X11: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X11 )
        | ( qmltpeq @ X11 @ ( op @ e1 @ e1 ) @ e1 ) )
    | ! [X0: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X0 )
        | ( qmltpeq @ X0 @ ( op @ e0 @ e0 ) @ e0 ) )
    | ! [X7: '$ki_world'] :
        ( ~ ( '$ki_accessible' @ sk__83 @ X7 )
        | ( qmltpeq @ X7 @ ( op @ e1 @ e1 ) @ e2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl376]) ).

thf(zip_derived_cl937,plain,
    ( ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) )
   <= ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl340]) ).

thf(zip_derived_cl0_046,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl3068,plain,
    ( ! [X3: '$ki_world'] : ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
   <= ! [X3: '$ki_world'] :
        ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
        | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl937,zip_derived_cl0]) ).

thf(zip_derived_cl873_047,plain,
    ( ~ ( qmltpeq @ sk__87 @ ( op @ e0 @ e0 ) @ e3 )
   <= ~ ( qmltpeq @ sk__87 @ ( op @ e0 @ e0 ) @ e3 ) ),
    inference(split,[status(esa)],[zip_derived_cl324]) ).

thf('290',plain,
    ( ( qmltpeq @ sk__87 @ ( op @ e0 @ e0 ) @ e3 )
    | ~ ! [X3: '$ki_world'] :
          ( ( qmltpeq @ X3 @ ( op @ e0 @ e0 ) @ e3 )
          | ~ ( '$ki_accessible' @ sk__83 @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3068,zip_derived_cl873]) ).

thf('291',plain,
    ( ~ ( qmltpeq @ sk__87 @ ( op @ e0 @ e0 ) @ e3 )
    | ~ ( qmltpeq @ sk__84 @ ( op @ e3 @ e3 ) @ e3 )
    | ~ ( qmltpeq @ sk__86 @ ( op @ e1 @ e1 ) @ e3 )
    | ~ ( qmltpeq @ sk__85 @ ( op @ e2 @ e2 ) @ e3 ) ),
    inference(split,[status(esa)],[zip_derived_cl328]) ).

thf(zip_derived_cl4796,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','269','270','271','272','273','274','275','276','277','278','279','280','281','282','283','284','285','286','287','288','289','290','291']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL941_5 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qpK49MATxP true
% 0.10/0.36  % Computer : n015.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 : Sun Sep  6 00:49:43 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  % Running portfolio for 300 s
% 0.10/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  % Number of cores: 8
% 0.10/0.37  % Python version: Python 3.12.3
% 0.10/0.38  % Running in FO mode
% 0.45/0.66  % Total configuration time : 435
% 0.45/0.66  % Estimated wc time : 1092
% 0.45/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.90/2.10  % Solved by fo/fo1_av.sh.
% 9.90/2.10  % done 1841 iterations in 1.157s
% 9.90/2.10  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.90/2.10  % SZS output start Refutation
% See solution above
% 10.63/2.15  
% 10.63/2.15  
% 10.63/2.15  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 10.63/2.15  % Terminating...
% 10.63/2.20  % Runner terminated.
% 2.78/2.22  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------