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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL944_8 : 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.cS2rVZ3qOa true

% Computer : n008.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 01:37:37 PM UTC 2026

% Result   : Theorem 4.68s 1.33s
% Output   : Refutation 4.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   62 (  28 unt;   0 typ;   0 def)
%            Number of atoms       :  186 (   0 equ;   0 cnn)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  659 (  78   ~;  87   |;   2   &; 457   @)
%                                         (   0 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   7 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  15 usr;   3 con; 0-2 aty)
%            Number of variables   :  103 (   0   ^; 103   !;   0   ?; 103   :)

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

thf(r2_type,type,
    r2: '$ki_world' > $o ).

thf(sk__155_type,type,
    sk__155: '$ki_world' > $i ).

thf(implies_type,type,
    implies: $i > $i > $i ).

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

thf(sk__157_type,type,
    sk__157: '$ki_world' > $i ).

thf(sk__156_type,type,
    sk__156: '$ki_world' > '$ki_world' ).

thf(sk__154_type,type,
    sk__154: '$ki_world' > '$ki_world' ).

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

thf(is_a_theorem_type,type,
    is_a_theorem: '$ki_world' > $i > $o ).

thf(or_2_type,type,
    or_2: '$ki_world' > $o ).

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

thf(sk__158_type,type,
    sk__158: '$ki_world' > '$ki_world' ).

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

thf(sk__187_type,type,
    sk__187: '$ki_world' ).

thf(or_type,type,
    or: $i > $i > $i ).

thf(verify,conjecture,
    ! [W: '$ki_world'] :
      ( ( '$ki_accessible' @ '$ki_local_world' @ W )
     => ( r2 @ W ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [W: '$ki_world'] :
        ( ( '$ki_accessible' @ '$ki_local_world' @ W )
       => ( r2 @ W ) ),
    inference('cnf.neg',[status(esa)],[verify]) ).

thf(zip_derived_cl291,plain,
    '$ki_accessible' @ '$ki_local_world' @ sk__187,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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

thf(r2_0,axiom,
    ( ! [W: '$ki_world'] :
        ( ( '$ki_accessible' @ '$ki_local_world' @ W )
       => ( ! [W0: '$ki_world'] :
              ( ( '$ki_accessible' @ W @ W0 )
             => ! [P: $i] :
                  ( ( '$ki_exists_in_world_$i' @ W0 @ P )
                 => ! [W1: '$ki_world'] :
                      ( ( '$ki_accessible' @ W0 @ W1 )
                     => ! [Q: $i] :
                          ( ( '$ki_exists_in_world_$i' @ W1 @ Q )
                         => ! [W2: '$ki_world'] :
                              ( ( '$ki_accessible' @ W1 @ W2 )
                             => ( is_a_theorem @ W2 @ ( implies @ Q @ ( or @ P @ Q ) ) ) ) ) ) ) )
         => ! [W0: '$ki_world'] :
              ( ( '$ki_accessible' @ W @ W0 )
             => ( r2 @ W0 ) ) ) )
    & ! [W: '$ki_world'] :
        ( ( '$ki_accessible' @ '$ki_local_world' @ W )
       => ( ! [W0: '$ki_world'] :
              ( ( '$ki_accessible' @ W @ W0 )
             => ( r2 @ W0 ) )
         => ! [W0: '$ki_world'] :
              ( ( '$ki_accessible' @ W @ W0 )
             => ! [P: $i] :
                  ( ( '$ki_exists_in_world_$i' @ W0 @ P )
                 => ! [W1: '$ki_world'] :
                      ( ( '$ki_accessible' @ W0 @ W1 )
                     => ! [Q: $i] :
                          ( ( '$ki_exists_in_world_$i' @ W1 @ Q )
                         => ! [W2: '$ki_world'] :
                              ( ( '$ki_accessible' @ W1 @ W2 )
                             => ( is_a_theorem @ W2 @ ( implies @ Q @ ( or @ P @ Q ) ) ) ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl229,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ( '$ki_accessible' @ ( sk__156 @ X0 ) @ ( sk__158 @ X0 ) )
      | ~ ( '$ki_accessible' @ X0 @ X1 )
      | ( r2 @ X1 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference(cnf,[status(esa)],[r2_0]) ).

thf(zip_derived_cl596,plain,
    ! [X0: '$ki_world'] :
      ( ( '$ki_accessible' @ ( sk__156 @ '$ki_local_world' ) @ ( sk__158 @ '$ki_local_world' ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ( r2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl229]) ).

thf(zip_derived_cl604,plain,
    ( ( '$ki_accessible' @ ( sk__156 @ '$ki_local_world' ) @ ( sk__158 @ '$ki_local_world' ) )
    | ( r2 @ sk__187 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl291,zip_derived_cl596]) ).

thf(zip_derived_cl292,plain,
    ~ ( r2 @ sk__187 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl605,plain,
    '$ki_accessible' @ ( sk__156 @ '$ki_local_world' ) @ ( sk__158 @ '$ki_local_world' ),
    inference(demod,[status(thm)],[zip_derived_cl604,zip_derived_cl292]) ).

thf(zip_derived_cl291_001,plain,
    '$ki_accessible' @ '$ki_local_world' @ sk__187,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl230,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ( '$ki_accessible' @ ( sk__154 @ X0 ) @ ( sk__156 @ X0 ) )
      | ~ ( '$ki_accessible' @ X0 @ X1 )
      | ( r2 @ X1 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference(cnf,[status(esa)],[r2_0]) ).

thf(zip_derived_cl619,plain,
    ! [X0: '$ki_world'] :
      ( ( '$ki_accessible' @ ( sk__154 @ '$ki_local_world' ) @ ( sk__156 @ '$ki_local_world' ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ( r2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl230]) ).

thf(zip_derived_cl624,plain,
    ( ( '$ki_accessible' @ ( sk__154 @ '$ki_local_world' ) @ ( sk__156 @ '$ki_local_world' ) )
    | ( r2 @ sk__187 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl291,zip_derived_cl619]) ).

thf(zip_derived_cl292_003,plain,
    ~ ( r2 @ sk__187 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl625,plain,
    '$ki_accessible' @ ( sk__154 @ '$ki_local_world' ) @ ( sk__156 @ '$ki_local_world' ),
    inference(demod,[status(thm)],[zip_derived_cl624,zip_derived_cl292]) ).

thf(zip_derived_cl291_004,plain,
    '$ki_accessible' @ '$ki_local_world' @ sk__187,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl231,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ( '$ki_accessible' @ X0 @ ( sk__154 @ X0 ) )
      | ~ ( '$ki_accessible' @ X0 @ X1 )
      | ( r2 @ X1 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference(cnf,[status(esa)],[r2_0]) ).

thf(zip_derived_cl579,plain,
    ! [X0: '$ki_world'] :
      ( ( '$ki_accessible' @ '$ki_local_world' @ ( sk__154 @ '$ki_local_world' ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ( r2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl231]) ).

thf(zip_derived_cl582,plain,
    ( ( '$ki_accessible' @ '$ki_local_world' @ ( sk__154 @ '$ki_local_world' ) )
    | ( r2 @ sk__187 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl291,zip_derived_cl579]) ).

thf(zip_derived_cl292_006,plain,
    ~ ( r2 @ sk__187 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl583,plain,
    '$ki_accessible' @ '$ki_local_world' @ ( sk__154 @ '$ki_local_world' ),
    inference(demod,[status(thm)],[zip_derived_cl582,zip_derived_cl292]) ).

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

thf(hilbert_or_2,axiom,
    ! [W: '$ki_world'] :
      ( ( '$ki_accessible' @ '$ki_local_world' @ W )
     => ( or_2 @ W ) ) ).

thf(zip_derived_cl282,plain,
    ! [X0: '$ki_world'] :
      ( ( or_2 @ X0 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference(cnf,[status(esa)],[hilbert_or_2]) ).

thf(or_2_0,axiom,
    ( ! [W: '$ki_world'] :
        ( ( '$ki_accessible' @ '$ki_local_world' @ W )
       => ( ! [W0: '$ki_world'] :
              ( ( '$ki_accessible' @ W @ W0 )
             => ! [X: $i] :
                  ( ( '$ki_exists_in_world_$i' @ W0 @ X )
                 => ! [W1: '$ki_world'] :
                      ( ( '$ki_accessible' @ W0 @ W1 )
                     => ! [Y: $i] :
                          ( ( '$ki_exists_in_world_$i' @ W1 @ Y )
                         => ! [W2: '$ki_world'] :
                              ( ( '$ki_accessible' @ W1 @ W2 )
                             => ( is_a_theorem @ W2 @ ( implies @ Y @ ( or @ X @ Y ) ) ) ) ) ) ) )
         => ! [W0: '$ki_world'] :
              ( ( '$ki_accessible' @ W @ W0 )
             => ( or_2 @ W0 ) ) ) )
    & ! [W: '$ki_world'] :
        ( ( '$ki_accessible' @ '$ki_local_world' @ W )
       => ( ! [W0: '$ki_world'] :
              ( ( '$ki_accessible' @ W @ W0 )
             => ( or_2 @ W0 ) )
         => ! [W0: '$ki_world'] :
              ( ( '$ki_accessible' @ W @ W0 )
             => ! [X: $i] :
                  ( ( '$ki_exists_in_world_$i' @ W0 @ X )
                 => ! [W1: '$ki_world'] :
                      ( ( '$ki_accessible' @ W0 @ W1 )
                     => ! [Y: $i] :
                          ( ( '$ki_exists_in_world_$i' @ W1 @ Y )
                         => ! [W2: '$ki_world'] :
                              ( ( '$ki_accessible' @ W1 @ W2 )
                             => ( is_a_theorem @ W2 @ ( implies @ Y @ ( or @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl128,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: $i,X5: $i] :
      ( ~ ( or_2 @ ( sk__87 @ X0 ) )
      | ~ ( '$ki_accessible' @ X0 @ X1 )
      | ~ ( '$ki_accessible' @ X1 @ X2 )
      | ~ ( '$ki_accessible' @ X2 @ X3 )
      | ( is_a_theorem @ X3 @ ( implies @ X4 @ ( or @ X5 @ X4 ) ) )
      | ~ ( '$ki_exists_in_world_$i' @ X2 @ X4 )
      | ~ ( '$ki_exists_in_world_$i' @ X1 @ X5 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference(cnf,[status(esa)],[or_2_0]) ).

thf(zip_derived_cl445,plain,
    ! [X0: '$ki_world',X1: $i,X2: '$ki_world',X3: $i,X4: '$ki_world',X5: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '$ki_local_world' @ ( sk__87 @ X0 ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ~ ( '$ki_exists_in_world_$i' @ X2 @ X1 )
      | ~ ( '$ki_exists_in_world_$i' @ X4 @ X3 )
      | ( is_a_theorem @ X5 @ ( implies @ X3 @ ( or @ X1 @ X3 ) ) )
      | ~ ( '$ki_accessible' @ X4 @ X5 )
      | ~ ( '$ki_accessible' @ X2 @ X4 )
      | ~ ( '$ki_accessible' @ X0 @ X2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl282,zip_derived_cl128]) ).

thf(zip_derived_cl1189,plain,
    ! [X0: $i,X1: '$ki_world',X2: $i,X3: '$ki_world',X4: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '$ki_local_world' @ ( sk__87 @ '$ki_local_world' ) )
      | ~ ( '$ki_exists_in_world_$i' @ X1 @ X0 )
      | ~ ( '$ki_exists_in_world_$i' @ X3 @ X2 )
      | ( is_a_theorem @ X4 @ ( implies @ X2 @ ( or @ X0 @ X2 ) ) )
      | ~ ( '$ki_accessible' @ X3 @ X4 )
      | ~ ( '$ki_accessible' @ X1 @ X3 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl445]) ).

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

thf(zip_derived_cl129,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: '$ki_world',X4: $i,X5: $i] :
      ( ( '$ki_accessible' @ X0 @ ( sk__87 @ X0 ) )
      | ~ ( '$ki_accessible' @ X0 @ X1 )
      | ~ ( '$ki_accessible' @ X1 @ X2 )
      | ~ ( '$ki_accessible' @ X2 @ X3 )
      | ( is_a_theorem @ X3 @ ( implies @ X4 @ ( or @ X5 @ X4 ) ) )
      | ~ ( '$ki_exists_in_world_$i' @ X2 @ X4 )
      | ~ ( '$ki_exists_in_world_$i' @ X1 @ X5 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference(cnf,[status(esa)],[or_2_0]) ).

thf(zip_derived_cl796,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: $i,X4: $i] :
      ( ( '$ki_accessible' @ '$ki_local_world' @ ( sk__87 @ '$ki_local_world' ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ~ ( '$ki_accessible' @ X0 @ X1 )
      | ~ ( '$ki_accessible' @ X1 @ X2 )
      | ( is_a_theorem @ X2 @ ( implies @ X3 @ ( or @ X4 @ X3 ) ) )
      | ~ ( '$ki_exists_in_world_$i' @ X1 @ X3 )
      | ~ ( '$ki_exists_in_world_$i' @ X0 @ X4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl129]) ).

thf(zip_derived_cl1192,plain,
    ! [X0: $i,X1: '$ki_world',X2: $i,X3: '$ki_world',X4: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
      | ~ ( '$ki_accessible' @ X1 @ X3 )
      | ~ ( '$ki_accessible' @ X3 @ X4 )
      | ( is_a_theorem @ X4 @ ( implies @ X2 @ ( or @ X0 @ X2 ) ) )
      | ~ ( '$ki_exists_in_world_$i' @ X3 @ X2 )
      | ~ ( '$ki_exists_in_world_$i' @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1189,zip_derived_cl796]) ).

thf(zip_derived_cl1194,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: $i,X3: $i] :
      ( ~ ( '$ki_accessible' @ ( sk__154 @ '$ki_local_world' ) @ X0 )
      | ~ ( '$ki_accessible' @ X0 @ X1 )
      | ( is_a_theorem @ X1 @ ( implies @ X2 @ ( or @ X3 @ X2 ) ) )
      | ~ ( '$ki_exists_in_world_$i' @ X0 @ X2 )
      | ~ ( '$ki_exists_in_world_$i' @ ( sk__154 @ '$ki_local_world' ) @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl1192]) ).

thf(zip_derived_cl1220,plain,
    ! [X0: '$ki_world',X1: $i,X2: $i] :
      ( ~ ( '$ki_accessible' @ ( sk__156 @ '$ki_local_world' ) @ X0 )
      | ( is_a_theorem @ X0 @ ( implies @ X1 @ ( or @ X2 @ X1 ) ) )
      | ~ ( '$ki_exists_in_world_$i' @ ( sk__156 @ '$ki_local_world' ) @ X1 )
      | ~ ( '$ki_exists_in_world_$i' @ ( sk__154 @ '$ki_local_world' ) @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl625,zip_derived_cl1194]) ).

thf(zip_derived_cl1235,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( sk__158 @ '$ki_local_world' ) @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) )
      | ~ ( '$ki_exists_in_world_$i' @ ( sk__156 @ '$ki_local_world' ) @ X0 )
      | ~ ( '$ki_exists_in_world_$i' @ ( sk__154 @ '$ki_local_world' ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl1220]) ).

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

thf(zip_derived_cl228,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ ( is_a_theorem @ ( sk__158 @ X0 ) @ ( implies @ ( sk__157 @ X0 ) @ ( or @ ( sk__155 @ X0 ) @ ( sk__157 @ X0 ) ) ) )
      | ~ ( '$ki_accessible' @ X0 @ X1 )
      | ( r2 @ X1 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference(cnf,[status(esa)],[r2_0]) ).

thf(zip_derived_cl712,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( is_a_theorem @ ( sk__158 @ '$ki_local_world' ) @ ( implies @ ( sk__157 @ '$ki_local_world' ) @ ( or @ ( sk__155 @ '$ki_local_world' ) @ ( sk__157 @ '$ki_local_world' ) ) ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ( r2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl228]) ).

thf(zip_derived_cl1248,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( '$ki_exists_in_world_$i' @ ( sk__154 @ '$ki_local_world' ) @ ( sk__155 @ '$ki_local_world' ) )
      | ~ ( '$ki_exists_in_world_$i' @ ( sk__156 @ '$ki_local_world' ) @ ( sk__157 @ '$ki_local_world' ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ( r2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1235,zip_derived_cl712]) ).

thf(zip_derived_cl291_010,plain,
    '$ki_accessible' @ '$ki_local_world' @ sk__187,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl226,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ( '$ki_exists_in_world_$i' @ ( sk__154 @ X0 ) @ ( sk__155 @ X0 ) )
      | ~ ( '$ki_accessible' @ X0 @ X1 )
      | ( r2 @ X1 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference(cnf,[status(esa)],[r2_0]) ).

thf(zip_derived_cl652,plain,
    ! [X0: '$ki_world'] :
      ( ( '$ki_exists_in_world_$i' @ ( sk__154 @ '$ki_local_world' ) @ ( sk__155 @ '$ki_local_world' ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ( r2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl226]) ).

thf(zip_derived_cl657,plain,
    ( ( '$ki_exists_in_world_$i' @ ( sk__154 @ '$ki_local_world' ) @ ( sk__155 @ '$ki_local_world' ) )
    | ( r2 @ sk__187 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl291,zip_derived_cl652]) ).

thf(zip_derived_cl292_012,plain,
    ~ ( r2 @ sk__187 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl658,plain,
    '$ki_exists_in_world_$i' @ ( sk__154 @ '$ki_local_world' ) @ ( sk__155 @ '$ki_local_world' ),
    inference(demod,[status(thm)],[zip_derived_cl657,zip_derived_cl292]) ).

thf(zip_derived_cl291_013,plain,
    '$ki_accessible' @ '$ki_local_world' @ sk__187,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl227,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ( '$ki_exists_in_world_$i' @ ( sk__156 @ X0 ) @ ( sk__157 @ X0 ) )
      | ~ ( '$ki_accessible' @ X0 @ X1 )
      | ( r2 @ X1 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference(cnf,[status(esa)],[r2_0]) ).

thf(zip_derived_cl682,plain,
    ! [X0: '$ki_world'] :
      ( ( '$ki_exists_in_world_$i' @ ( sk__156 @ '$ki_local_world' ) @ ( sk__157 @ '$ki_local_world' ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ( r2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl227]) ).

thf(zip_derived_cl687,plain,
    ( ( '$ki_exists_in_world_$i' @ ( sk__156 @ '$ki_local_world' ) @ ( sk__157 @ '$ki_local_world' ) )
    | ( r2 @ sk__187 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl291,zip_derived_cl682]) ).

thf(zip_derived_cl292_015,plain,
    ~ ( r2 @ sk__187 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl688,plain,
    '$ki_exists_in_world_$i' @ ( sk__156 @ '$ki_local_world' ) @ ( sk__157 @ '$ki_local_world' ),
    inference(demod,[status(thm)],[zip_derived_cl687,zip_derived_cl292]) ).

thf(zip_derived_cl1249,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ( r2 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1248,zip_derived_cl658,zip_derived_cl688]) ).

thf(zip_derived_cl292_016,plain,
    ~ ( r2 @ sk__187 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1254,plain,
    ~ ( '$ki_accessible' @ '$ki_local_world' @ sk__187 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1249,zip_derived_cl292]) ).

thf(zip_derived_cl291_017,plain,
    '$ki_accessible' @ '$ki_local_world' @ sk__187,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1255,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1254,zip_derived_cl291]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL944_8 : 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.cS2rVZ3qOa true
% 0.11/0.37  % Computer : n008.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sat Sep  5 20:08:23 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  % Running portfolio for 300 s
% 0.11/0.38  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38  % Number of cores: 8
% 0.11/0.38  % Python version: Python 3.12.3
% 0.11/0.39  % Running in FO mode
% 0.47/0.67  % Total configuration time : 435
% 0.47/0.67  % Estimated wc time : 1092
% 0.47/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.03/1.25  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 4.68/1.33  % Solved by fo/fo6_bce.sh.
% 4.68/1.33  % BCE start: 293
% 4.68/1.33  % BCE eliminated: 0
% 4.68/1.33  % PE start: 293
% 4.68/1.33  logic: neq
% 4.68/1.33  % PE eliminated: 34
% 4.68/1.33  % done 396 iterations in 0.572s
% 4.68/1.33  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.68/1.33  % SZS output start Refutation
% See solution above
% 4.68/1.34  
% 4.68/1.34  
% 4.68/1.34  % Terminating...
% 4.68/1.36  % Runner terminated.
% 4.68/1.40  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------