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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU386+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.l57L3WSdG2 true

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:54:26 PM UTC 2025

% Result   : Theorem 0.85s 2.56s
% Output   : Refutation 0.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   70 (  42 unt;   0 typ;   0 def)
%            Number of atoms       :  238 (   9 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  755 ( 111   ~; 115   |;  28   &; 476   @)
%                                         (   3 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;   4 con; 0-3 aty)
%            Number of variables   :   51 (   0   ^;  51   !;   0   ?;  51   :)

% Comments : 
%------------------------------------------------------------------------------
thf(top_str_type,type,
    top_str: $i > $o ).

thf(the_carrier_type,type,
    the_carrier: $i > $i ).

thf(sk__12_type,type,
    sk__12: $i ).

thf(one_sorted_str_type,type,
    one_sorted_str: $i > $o ).

thf(is_often_in_type,type,
    is_often_in: $i > $i > $i > $o ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(transitive_relstr_type,type,
    transitive_relstr: $i > $o ).

thf(is_a_cluster_point_of_netstr_type,type,
    is_a_cluster_point_of_netstr: $i > $i > $i > $o ).

thf(point_neighbourhood_type,type,
    point_neighbourhood: $i > $i > $i > $o ).

thf(sk__3_type,type,
    sk__3: $i > $i > $i > $i ).

thf(net_str_type,type,
    net_str: $i > $i > $o ).

thf(empty_carrier_type,type,
    empty_carrier: $i > $o ).

thf(directed_relstr_type,type,
    directed_relstr: $i > $o ).

thf(is_eventually_in_type,type,
    is_eventually_in: $i > $i > $i > $o ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(sk__10_type,type,
    sk__10: $i ).

thf(lim_points_of_net_type,type,
    lim_points_of_net: $i > $i > $i ).

thf(topological_space_type,type,
    topological_space: $i > $o ).

thf(powerset_type,type,
    powerset: $i > $i ).

thf(element_type,type,
    element: $i > $i > $o ).

thf(dt_l1_pre_topc,axiom,
    ! [A: $i] :
      ( ( top_str @ A )
     => ( one_sorted_str @ A ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( one_sorted_str @ X0 )
      | ~ ( top_str @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l1_pre_topc]) ).

thf(t29_waybel_9,conjecture,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( topological_space @ A )
        & ( top_str @ A ) )
     => ! [B: $i] :
          ( ( ~ ( empty_carrier @ B )
            & ( transitive_relstr @ B )
            & ( directed_relstr @ B )
            & ( net_str @ B @ A ) )
         => ! [C: $i] :
              ( ( element @ C @ ( the_carrier @ A ) )
             => ( ( in @ C @ ( lim_points_of_net @ A @ B ) )
               => ( is_a_cluster_point_of_netstr @ A @ B @ C ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( empty_carrier @ A )
          & ( topological_space @ A )
          & ( top_str @ A ) )
       => ! [B: $i] :
            ( ( ~ ( empty_carrier @ B )
              & ( transitive_relstr @ B )
              & ( directed_relstr @ B )
              & ( net_str @ B @ A ) )
           => ! [C: $i] :
                ( ( element @ C @ ( the_carrier @ A ) )
               => ( ( in @ C @ ( lim_points_of_net @ A @ B ) )
                 => ( is_a_cluster_point_of_netstr @ A @ B @ C ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t29_waybel_9]) ).

thf(zip_derived_cl35,plain,
    net_str @ sk__11 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35_001,plain,
    net_str @ sk__11 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32,plain,
    element @ sk__12 @ ( the_carrier @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d9_waybel_9,axiom,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( topological_space @ A )
        & ( top_str @ A ) )
     => ! [B: $i] :
          ( ( ~ ( empty_carrier @ B )
            & ( net_str @ B @ A ) )
         => ! [C: $i] :
              ( ( element @ C @ ( the_carrier @ A ) )
             => ( ( is_a_cluster_point_of_netstr @ A @ B @ C )
              <=> ! [D: $i] :
                    ( ( point_neighbourhood @ D @ A @ C )
                   => ( is_often_in @ A @ B @ D ) ) ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( empty_carrier @ X0 )
      | ~ ( net_str @ X0 @ X1 )
      | ( point_neighbourhood @ ( sk__3 @ X2 @ X0 @ X1 ) @ X1 @ X2 )
      | ( is_a_cluster_point_of_netstr @ X1 @ X0 @ X2 )
      | ~ ( element @ X2 @ ( the_carrier @ X1 ) )
      | ~ ( top_str @ X1 )
      | ~ ( topological_space @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[d9_waybel_9]) ).

thf(zip_derived_cl186,plain,
    ! [X0: $i] :
      ( ( empty_carrier @ sk__10 )
      | ~ ( topological_space @ sk__10 )
      | ~ ( top_str @ sk__10 )
      | ( is_a_cluster_point_of_netstr @ sk__10 @ X0 @ sk__12 )
      | ( point_neighbourhood @ ( sk__3 @ sk__12 @ X0 @ sk__10 ) @ sk__10 @ sk__12 )
      | ~ ( net_str @ X0 @ sk__10 )
      | ( empty_carrier @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl8]) ).

thf(zip_derived_cl29,plain,
    ~ ( empty_carrier @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30,plain,
    topological_space @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31,plain,
    top_str @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192,plain,
    ! [X0: $i] :
      ( ( is_a_cluster_point_of_netstr @ sk__10 @ X0 @ sk__12 )
      | ( point_neighbourhood @ ( sk__3 @ sk__12 @ X0 @ sk__10 ) @ sk__10 @ sk__12 )
      | ~ ( net_str @ X0 @ sk__10 )
      | ( empty_carrier @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl29,zip_derived_cl30,zip_derived_cl31]) ).

thf(zip_derived_cl194,plain,
    ( ( empty_carrier @ sk__11 )
    | ( point_neighbourhood @ ( sk__3 @ sk__12 @ sk__11 @ sk__10 ) @ sk__10 @ sk__12 )
    | ( is_a_cluster_point_of_netstr @ sk__10 @ sk__11 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl192]) ).

thf(zip_derived_cl38,plain,
    ~ ( empty_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ~ ( is_a_cluster_point_of_netstr @ sk__10 @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl195,plain,
    point_neighbourhood @ ( sk__3 @ sk__12 @ sk__11 @ sk__10 ) @ sk__10 @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl38,zip_derived_cl33]) ).

thf(zip_derived_cl34,plain,
    in @ sk__12 @ ( lim_points_of_net @ sk__10 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35_002,plain,
    net_str @ sk__11 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_k11_yellow_6,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( topological_space @ A )
        & ( top_str @ A )
        & ~ ( empty_carrier @ B )
        & ( transitive_relstr @ B )
        & ( directed_relstr @ B )
        & ( net_str @ B @ A ) )
     => ( element @ ( lim_points_of_net @ A @ B ) @ ( powerset @ ( the_carrier @ A ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( top_str @ X0 )
      | ~ ( topological_space @ X0 )
      | ( empty_carrier @ X0 )
      | ( empty_carrier @ X1 )
      | ~ ( transitive_relstr @ X1 )
      | ~ ( directed_relstr @ X1 )
      | ~ ( net_str @ X1 @ X0 )
      | ( element @ ( lim_points_of_net @ X0 @ X1 ) @ ( powerset @ ( the_carrier @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[dt_k11_yellow_6]) ).

thf(zip_derived_cl137,plain,
    ( ( element @ ( lim_points_of_net @ sk__10 @ sk__11 ) @ ( powerset @ ( the_carrier @ sk__10 ) ) )
    | ~ ( directed_relstr @ sk__11 )
    | ~ ( transitive_relstr @ sk__11 )
    | ( empty_carrier @ sk__11 )
    | ( empty_carrier @ sk__10 )
    | ~ ( topological_space @ sk__10 )
    | ~ ( top_str @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl11]) ).

thf(zip_derived_cl36,plain,
    directed_relstr @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,plain,
    transitive_relstr @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38_003,plain,
    ~ ( empty_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29_004,plain,
    ~ ( empty_carrier @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30_005,plain,
    topological_space @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31_006,plain,
    top_str @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138,plain,
    element @ ( lim_points_of_net @ sk__10 @ sk__11 ) @ ( powerset @ ( the_carrier @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl36,zip_derived_cl37,zip_derived_cl38,zip_derived_cl29,zip_derived_cl30,zip_derived_cl31]) ).

thf(d18_yellow_6,axiom,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( topological_space @ A )
        & ( top_str @ A ) )
     => ! [B: $i] :
          ( ( ~ ( empty_carrier @ B )
            & ( transitive_relstr @ B )
            & ( directed_relstr @ B )
            & ( net_str @ B @ A ) )
         => ! [C: $i] :
              ( ( element @ C @ ( powerset @ ( the_carrier @ A ) ) )
             => ( ( C
                  = ( lim_points_of_net @ A @ B ) )
              <=> ! [D: $i] :
                    ( ( element @ D @ ( the_carrier @ A ) )
                   => ( ( in @ D @ C )
                    <=> ! [E: $i] :
                          ( ( point_neighbourhood @ E @ A @ D )
                         => ( is_eventually_in @ A @ B @ E ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( empty_carrier @ X0 )
      | ~ ( transitive_relstr @ X0 )
      | ~ ( directed_relstr @ X0 )
      | ~ ( net_str @ X0 @ X1 )
      | ( X2
       != ( lim_points_of_net @ X1 @ X0 ) )
      | ~ ( point_neighbourhood @ X3 @ X1 @ X4 )
      | ( is_eventually_in @ X1 @ X0 @ X3 )
      | ~ ( in @ X4 @ X2 )
      | ~ ( element @ X4 @ ( the_carrier @ X1 ) )
      | ~ ( element @ X2 @ ( powerset @ ( the_carrier @ X1 ) ) )
      | ~ ( top_str @ X1 )
      | ~ ( topological_space @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[d18_yellow_6]) ).

thf(zip_derived_cl238,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( empty_carrier @ sk__10 )
      | ~ ( topological_space @ sk__10 )
      | ~ ( top_str @ sk__10 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__10 ) )
      | ~ ( in @ X0 @ ( lim_points_of_net @ sk__10 @ sk__11 ) )
      | ( is_eventually_in @ sk__10 @ X2 @ X1 )
      | ~ ( point_neighbourhood @ X1 @ sk__10 @ X0 )
      | ( ( lim_points_of_net @ sk__10 @ sk__11 )
       != ( lim_points_of_net @ sk__10 @ X2 ) )
      | ~ ( net_str @ X2 @ sk__10 )
      | ~ ( directed_relstr @ X2 )
      | ~ ( transitive_relstr @ X2 )
      | ( empty_carrier @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl7]) ).

thf(zip_derived_cl29_007,plain,
    ~ ( empty_carrier @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30_008,plain,
    topological_space @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31_009,plain,
    top_str @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl246,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__10 ) )
      | ~ ( in @ X0 @ ( lim_points_of_net @ sk__10 @ sk__11 ) )
      | ( is_eventually_in @ sk__10 @ X2 @ X1 )
      | ~ ( point_neighbourhood @ X1 @ sk__10 @ X0 )
      | ( ( lim_points_of_net @ sk__10 @ sk__11 )
       != ( lim_points_of_net @ sk__10 @ X2 ) )
      | ~ ( net_str @ X2 @ sk__10 )
      | ~ ( directed_relstr @ X2 )
      | ~ ( transitive_relstr @ X2 )
      | ( empty_carrier @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl29,zip_derived_cl30,zip_derived_cl31]) ).

thf(zip_derived_cl260,plain,
    ! [X0: $i,X1: $i] :
      ( ( empty_carrier @ X0 )
      | ~ ( transitive_relstr @ X0 )
      | ~ ( directed_relstr @ X0 )
      | ~ ( net_str @ X0 @ sk__10 )
      | ( ( lim_points_of_net @ sk__10 @ sk__11 )
       != ( lim_points_of_net @ sk__10 @ X0 ) )
      | ~ ( point_neighbourhood @ X1 @ sk__10 @ sk__12 )
      | ( is_eventually_in @ sk__10 @ X0 @ X1 )
      | ~ ( element @ sk__12 @ ( the_carrier @ sk__10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl246]) ).

thf(zip_derived_cl32_010,plain,
    element @ sk__12 @ ( the_carrier @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl262,plain,
    ! [X0: $i,X1: $i] :
      ( ( empty_carrier @ X0 )
      | ~ ( transitive_relstr @ X0 )
      | ~ ( directed_relstr @ X0 )
      | ~ ( net_str @ X0 @ sk__10 )
      | ( ( lim_points_of_net @ sk__10 @ sk__11 )
       != ( lim_points_of_net @ sk__10 @ X0 ) )
      | ~ ( point_neighbourhood @ X1 @ sk__10 @ sk__12 )
      | ( is_eventually_in @ sk__10 @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl32]) ).

thf(zip_derived_cl263,plain,
    ! [X0: $i] :
      ( ( is_eventually_in @ sk__10 @ X0 @ ( sk__3 @ sk__12 @ sk__11 @ sk__10 ) )
      | ( ( lim_points_of_net @ sk__10 @ sk__11 )
       != ( lim_points_of_net @ sk__10 @ X0 ) )
      | ~ ( net_str @ X0 @ sk__10 )
      | ~ ( directed_relstr @ X0 )
      | ~ ( transitive_relstr @ X0 )
      | ( empty_carrier @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl262]) ).

thf(zip_derived_cl329,plain,
    ( ( empty_carrier @ sk__11 )
    | ~ ( transitive_relstr @ sk__11 )
    | ~ ( directed_relstr @ sk__11 )
    | ( ( lim_points_of_net @ sk__10 @ sk__11 )
     != ( lim_points_of_net @ sk__10 @ sk__11 ) )
    | ( is_eventually_in @ sk__10 @ sk__11 @ ( sk__3 @ sk__12 @ sk__11 @ sk__10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl263]) ).

thf(zip_derived_cl38_011,plain,
    ~ ( empty_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37_012,plain,
    transitive_relstr @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36_013,plain,
    directed_relstr @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl330,plain,
    ( ( ( lim_points_of_net @ sk__10 @ sk__11 )
     != ( lim_points_of_net @ sk__10 @ sk__11 ) )
    | ( is_eventually_in @ sk__10 @ sk__11 @ ( sk__3 @ sk__12 @ sk__11 @ sk__10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl38,zip_derived_cl37,zip_derived_cl36]) ).

thf(zip_derived_cl331,plain,
    is_eventually_in @ sk__10 @ sk__11 @ ( sk__3 @ sk__12 @ sk__11 @ sk__10 ),
    inference(simplify,[status(thm)],[zip_derived_cl330]) ).

thf(t28_yellow_6,axiom,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( one_sorted_str @ A ) )
     => ! [B: $i] :
          ( ( ~ ( empty_carrier @ B )
            & ( transitive_relstr @ B )
            & ( directed_relstr @ B )
            & ( net_str @ B @ A ) )
         => ! [C: $i] :
              ( ( is_eventually_in @ A @ B @ C )
             => ( is_often_in @ A @ B @ C ) ) ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( empty_carrier @ X0 )
      | ~ ( transitive_relstr @ X0 )
      | ~ ( directed_relstr @ X0 )
      | ~ ( net_str @ X0 @ X1 )
      | ( is_often_in @ X1 @ X0 @ X2 )
      | ~ ( is_eventually_in @ X1 @ X0 @ X2 )
      | ~ ( one_sorted_str @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[t28_yellow_6]) ).

thf(zip_derived_cl332,plain,
    ( ( empty_carrier @ sk__10 )
    | ~ ( one_sorted_str @ sk__10 )
    | ( is_often_in @ sk__10 @ sk__11 @ ( sk__3 @ sk__12 @ sk__11 @ sk__10 ) )
    | ~ ( net_str @ sk__11 @ sk__10 )
    | ~ ( directed_relstr @ sk__11 )
    | ~ ( transitive_relstr @ sk__11 )
    | ( empty_carrier @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl331,zip_derived_cl24]) ).

thf(zip_derived_cl29_014,plain,
    ~ ( empty_carrier @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35_015,plain,
    net_str @ sk__11 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36_016,plain,
    directed_relstr @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37_017,plain,
    transitive_relstr @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38_018,plain,
    ~ ( empty_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl333,plain,
    ( ~ ( one_sorted_str @ sk__10 )
    | ( is_often_in @ sk__10 @ sk__11 @ ( sk__3 @ sk__12 @ sk__11 @ sk__10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl332,zip_derived_cl29,zip_derived_cl35,zip_derived_cl36,zip_derived_cl37,zip_derived_cl38]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( empty_carrier @ X0 )
      | ~ ( net_str @ X0 @ X1 )
      | ~ ( is_often_in @ X1 @ X0 @ ( sk__3 @ X2 @ X0 @ X1 ) )
      | ( is_a_cluster_point_of_netstr @ X1 @ X0 @ X2 )
      | ~ ( element @ X2 @ ( the_carrier @ X1 ) )
      | ~ ( top_str @ X1 )
      | ~ ( topological_space @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[d9_waybel_9]) ).

thf(zip_derived_cl334,plain,
    ( ~ ( one_sorted_str @ sk__10 )
    | ( empty_carrier @ sk__10 )
    | ~ ( topological_space @ sk__10 )
    | ~ ( top_str @ sk__10 )
    | ~ ( element @ sk__12 @ ( the_carrier @ sk__10 ) )
    | ( is_a_cluster_point_of_netstr @ sk__10 @ sk__11 @ sk__12 )
    | ~ ( net_str @ sk__11 @ sk__10 )
    | ( empty_carrier @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl9]) ).

thf(zip_derived_cl29_019,plain,
    ~ ( empty_carrier @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30_020,plain,
    topological_space @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31_021,plain,
    top_str @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32_022,plain,
    element @ sk__12 @ ( the_carrier @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35_023,plain,
    net_str @ sk__11 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38_024,plain,
    ~ ( empty_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl335,plain,
    ( ~ ( one_sorted_str @ sk__10 )
    | ( is_a_cluster_point_of_netstr @ sk__10 @ sk__11 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl29,zip_derived_cl30,zip_derived_cl31,zip_derived_cl32,zip_derived_cl35,zip_derived_cl38]) ).

thf(zip_derived_cl33_025,plain,
    ~ ( is_a_cluster_point_of_netstr @ sk__10 @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl336,plain,
    ~ ( one_sorted_str @ sk__10 ),
    inference(clc,[status(thm)],[zip_derived_cl335,zip_derived_cl33]) ).

thf(zip_derived_cl337,plain,
    ~ ( top_str @ sk__10 ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl336]) ).

thf(zip_derived_cl31_026,plain,
    top_str @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl338,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl337,zip_derived_cl31]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/1.06  % Problem  : SEU386+1 : TPTP v9.2.0. Released v3.3.0.
% 0.10/1.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.l57L3WSdG2 true
% 0.10/1.55  % Computer : n020.cluster.edu
% 0.10/1.55  % Model    : x86_64 x86_64
% 0.10/1.55  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/1.55  % Memory   : 8042.1875MB
% 0.10/1.55  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/1.55  % CPULimit : 300
% 0.10/1.55  % WCLimit  : 300
% 0.10/1.55  % DateTime : Wed Oct  1 16:09:54 EDT 2025
% 0.15/1.57  % CPUTime  : 
% 0.15/1.57  % Running portfolio for 300 s
% 0.15/1.57  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/1.58  % Number of cores: 8
% 0.15/1.61  % Python version: Python 3.6.8
% 0.15/1.63  % Running in FO mode
% 0.15/2.09  % Total configuration time : 435
% 0.15/2.09  % Estimated wc time : 1092
% 0.15/2.09  % Estimated cpu time (7 cpus) : 156.0
% 0.58/2.20  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.79/2.23  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.83/2.28  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.83/2.33  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.84/2.36  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.84/2.37  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.84/2.38  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.85/2.56  % Solved by fo/fo4.sh.
% 0.85/2.56  % done 159 iterations in 0.079s
% 0.85/2.56  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.85/2.56  % SZS output start Refutation
% See solution above
% 0.85/2.56  
% 0.85/2.56  
% 0.85/2.56  % Terminating...
% 1.04/2.72  % Runner terminated.
% 1.04/2.73  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------