TSTP Solution File: SEU376+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU376+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HlCL2fynhz true

% Computer : n029.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 Aug 31 19:12:31 EDT 2023

% Result   : Theorem 1.40s 1.06s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   89 (  37 unt;  19 typ;   0 def)
%            Number of atoms       :  210 (   0 equ;   0 cnn)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  860 (  98   ~; 101   |;  18   &; 622   @)
%                                         (   3 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   33 (  33   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  19 usr;   4 con; 0-3 aty)
%            Number of variables   :   65 (   0   ^;  62   !;   3   ?;  65   :)

% Comments : 
%------------------------------------------------------------------------------
thf(related_type,type,
    related: $i > $i > $i > $o ).

thf(rel_str_type,type,
    rel_str: $i > $o ).

thf(sk__14_type,type,
    sk__14: $i ).

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

thf(sk__6_type,type,
    sk__6: $i > $i > $i > $i ).

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

thf(sk__2_type,type,
    sk__2: $i > $i > $i > $i ).

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

thf(apply_netmap_type,type,
    apply_netmap: $i > $i > $i > $i ).

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

thf(sk__13_type,type,
    sk__13: $i ).

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

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

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

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

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

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

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

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

thf(t28_yellow_6,conjecture,
    ! [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(zf_stmt_0,negated_conjecture,
    ~ ! [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 ) ) ) ),
    inference('cnf.neg',[status(esa)],[t28_yellow_6]) ).

thf(zip_derived_cl50,plain,
    ~ ( is_often_in @ sk__12 @ sk__13 @ sk__14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51,plain,
    net_str @ sk__13 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d12_waybel_0,axiom,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( one_sorted_str @ A ) )
     => ! [B: $i] :
          ( ( ~ ( empty_carrier @ B )
            & ( net_str @ B @ A ) )
         => ! [C: $i] :
              ( ( is_often_in @ A @ B @ C )
            <=> ! [D: $i] :
                  ( ( element @ D @ ( the_carrier @ B ) )
                 => ? [E: $i] :
                      ( ( in @ ( apply_netmap @ A @ B @ E ) @ C )
                      & ( related @ B @ D @ E )
                      & ( element @ E @ ( the_carrier @ B ) ) ) ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( empty_carrier @ X0 )
      | ~ ( net_str @ X0 @ X1 )
      | ( element @ ( sk__2 @ X2 @ X0 @ X1 ) @ ( the_carrier @ X0 ) )
      | ( is_often_in @ X1 @ X0 @ X2 )
      | ~ ( one_sorted_str @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[d12_waybel_0]) ).

thf(zip_derived_cl180,plain,
    ! [X0: $i] :
      ( ( empty_carrier @ sk__12 )
      | ~ ( one_sorted_str @ sk__12 )
      | ( is_often_in @ sk__12 @ sk__13 @ X0 )
      | ( element @ ( sk__2 @ X0 @ sk__13 @ sk__12 ) @ ( the_carrier @ sk__13 ) )
      | ( empty_carrier @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl5]) ).

thf(zip_derived_cl47,plain,
    ~ ( empty_carrier @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    one_sorted_str @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54,plain,
    ~ ( empty_carrier @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl182,plain,
    ! [X0: $i] :
      ( ( is_often_in @ sk__12 @ sk__13 @ X0 )
      | ( element @ ( sk__2 @ X0 @ sk__13 @ sk__12 ) @ ( the_carrier @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl47,zip_derived_cl48,zip_derived_cl54]) ).

thf(zip_derived_cl49,plain,
    is_eventually_in @ sk__12 @ sk__13 @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d11_waybel_0,axiom,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( one_sorted_str @ A ) )
     => ! [B: $i] :
          ( ( ~ ( empty_carrier @ B )
            & ( net_str @ B @ A ) )
         => ! [C: $i] :
              ( ( is_eventually_in @ A @ B @ C )
            <=> ? [D: $i] :
                  ( ! [E: $i] :
                      ( ( element @ E @ ( the_carrier @ B ) )
                     => ( ( related @ B @ D @ E )
                       => ( in @ ( apply_netmap @ A @ B @ E ) @ C ) ) )
                  & ( element @ D @ ( the_carrier @ B ) ) ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( empty_carrier @ X0 )
      | ~ ( net_str @ X0 @ X1 )
      | ~ ( is_eventually_in @ X1 @ X0 @ X2 )
      | ( element @ ( sk__1 @ X2 @ X0 @ X1 ) @ ( the_carrier @ X0 ) )
      | ~ ( one_sorted_str @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[d11_waybel_0]) ).

thf(zip_derived_cl177,plain,
    ( ( empty_carrier @ sk__12 )
    | ~ ( one_sorted_str @ sk__12 )
    | ( element @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ ( the_carrier @ sk__13 ) )
    | ~ ( net_str @ sk__13 @ sk__12 )
    | ( empty_carrier @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl3]) ).

thf(zip_derived_cl47_001,plain,
    ~ ( empty_carrier @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48_002,plain,
    one_sorted_str @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51_003,plain,
    net_str @ sk__13 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54_004,plain,
    ~ ( empty_carrier @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl178,plain,
    element @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ ( the_carrier @ sk__13 ),
    inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl47,zip_derived_cl48,zip_derived_cl51,zip_derived_cl54]) ).

thf(d5_yellow_6,axiom,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( rel_str @ A ) )
     => ( ( directed_relstr @ A )
      <=> ! [B: $i] :
            ( ( element @ B @ ( the_carrier @ A ) )
           => ! [C: $i] :
                ( ( element @ C @ ( the_carrier @ A ) )
               => ? [D: $i] :
                    ( ( related @ A @ C @ D )
                    & ( related @ A @ B @ D )
                    & ( element @ D @ ( the_carrier @ A ) ) ) ) ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( directed_relstr @ X0 )
      | ~ ( element @ X1 @ ( the_carrier @ X0 ) )
      | ( related @ X0 @ X1 @ ( sk__6 @ X1 @ X2 @ X0 ) )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ~ ( rel_str @ X0 )
      | ( empty_carrier @ X0 ) ),
    inference(cnf,[status(esa)],[d5_yellow_6]) ).

thf(zip_derived_cl187,plain,
    ! [X0: $i] :
      ( ( empty_carrier @ sk__13 )
      | ~ ( rel_str @ sk__13 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__13 ) )
      | ( related @ sk__13 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ X0 @ sk__13 ) )
      | ~ ( directed_relstr @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl15]) ).

thf(zip_derived_cl54_005,plain,
    ~ ( empty_carrier @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51_006,plain,
    net_str @ sk__13 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_l1_waybel_0,axiom,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ! [B: $i] :
          ( ( net_str @ B @ A )
         => ( rel_str @ B ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( net_str @ X0 @ X1 )
      | ( rel_str @ X0 )
      | ~ ( one_sorted_str @ X1 ) ),
    inference(cnf,[status(esa)],[dt_l1_waybel_0]) ).

thf(zip_derived_cl57,plain,
    ( ~ ( one_sorted_str @ sk__12 )
    | ( rel_str @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl25]) ).

thf(zip_derived_cl48_007,plain,
    one_sorted_str @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58,plain,
    rel_str @ sk__13,
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl48]) ).

thf(zip_derived_cl52,plain,
    directed_relstr @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__13 ) )
      | ( related @ sk__13 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ X0 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl54,zip_derived_cl58,zip_derived_cl52]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( empty_carrier @ X0 )
      | ~ ( net_str @ X0 @ X1 )
      | ~ ( is_eventually_in @ X1 @ X0 @ X2 )
      | ~ ( related @ X0 @ ( sk__1 @ X2 @ X0 @ X1 ) @ X3 )
      | ( in @ ( apply_netmap @ X1 @ X0 @ X3 ) @ X2 )
      | ~ ( element @ X3 @ ( the_carrier @ X0 ) )
      | ~ ( one_sorted_str @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[d11_waybel_0]) ).

thf(zip_derived_cl511,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__13 ) )
      | ( empty_carrier @ sk__12 )
      | ~ ( one_sorted_str @ sk__12 )
      | ~ ( element @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ X0 @ sk__13 ) @ ( the_carrier @ sk__13 ) )
      | ( in @ ( apply_netmap @ sk__12 @ sk__13 @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ X0 @ sk__13 ) ) @ sk__14 )
      | ~ ( is_eventually_in @ sk__12 @ sk__13 @ sk__14 )
      | ~ ( net_str @ sk__13 @ sk__12 )
      | ( empty_carrier @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl4]) ).

thf(zip_derived_cl47_008,plain,
    ~ ( empty_carrier @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48_009,plain,
    one_sorted_str @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49_010,plain,
    is_eventually_in @ sk__12 @ sk__13 @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51_011,plain,
    net_str @ sk__13 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54_012,plain,
    ~ ( empty_carrier @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl513,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__13 ) )
      | ~ ( element @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ X0 @ sk__13 ) @ ( the_carrier @ sk__13 ) )
      | ( in @ ( apply_netmap @ sk__12 @ sk__13 @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ X0 @ sk__13 ) ) @ sk__14 ) ),
    inference(demod,[status(thm)],[zip_derived_cl511,zip_derived_cl47,zip_derived_cl48,zip_derived_cl49,zip_derived_cl51,zip_derived_cl54]) ).

thf(zip_derived_cl178_013,plain,
    element @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ ( the_carrier @ sk__13 ),
    inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl47,zip_derived_cl48,zip_derived_cl51,zip_derived_cl54]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( directed_relstr @ X0 )
      | ~ ( element @ X1 @ ( the_carrier @ X0 ) )
      | ( element @ ( sk__6 @ X1 @ X2 @ X0 ) @ ( the_carrier @ X0 ) )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ~ ( rel_str @ X0 )
      | ( empty_carrier @ X0 ) ),
    inference(cnf,[status(esa)],[d5_yellow_6]) ).

thf(zip_derived_cl189,plain,
    ! [X0: $i] :
      ( ( empty_carrier @ sk__13 )
      | ~ ( rel_str @ sk__13 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__13 ) )
      | ( element @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ X0 @ sk__13 ) @ ( the_carrier @ sk__13 ) )
      | ~ ( directed_relstr @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl17]) ).

thf(zip_derived_cl54_014,plain,
    ~ ( empty_carrier @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58_015,plain,
    rel_str @ sk__13,
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl48]) ).

thf(zip_derived_cl52_016,plain,
    directed_relstr @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__13 ) )
      | ( element @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ X0 @ sk__13 ) @ ( the_carrier @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl189,zip_derived_cl54,zip_derived_cl58,zip_derived_cl52]) ).

thf(zip_derived_cl905,plain,
    ! [X0: $i] :
      ( ( in @ ( apply_netmap @ sk__12 @ sk__13 @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ X0 @ sk__13 ) ) @ sk__14 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__13 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl513,zip_derived_cl196]) ).

thf(zip_derived_cl178_017,plain,
    element @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ ( the_carrier @ sk__13 ),
    inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl47,zip_derived_cl48,zip_derived_cl51,zip_derived_cl54]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( directed_relstr @ X0 )
      | ~ ( element @ X1 @ ( the_carrier @ X0 ) )
      | ( related @ X0 @ X2 @ ( sk__6 @ X1 @ X2 @ X0 ) )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ~ ( rel_str @ X0 )
      | ( empty_carrier @ X0 ) ),
    inference(cnf,[status(esa)],[d5_yellow_6]) ).

thf(zip_derived_cl188,plain,
    ! [X0: $i] :
      ( ( empty_carrier @ sk__13 )
      | ~ ( rel_str @ sk__13 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__13 ) )
      | ( related @ sk__13 @ X0 @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ X0 @ sk__13 ) )
      | ~ ( directed_relstr @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl16]) ).

thf(zip_derived_cl54_018,plain,
    ~ ( empty_carrier @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58_019,plain,
    rel_str @ sk__13,
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl48]) ).

thf(zip_derived_cl52_020,plain,
    directed_relstr @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl195,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__13 ) )
      | ( related @ sk__13 @ X0 @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ X0 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl54,zip_derived_cl58,zip_derived_cl52]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( empty_carrier @ X0 )
      | ~ ( net_str @ X0 @ X1 )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ~ ( related @ X0 @ ( sk__2 @ X3 @ X0 @ X1 ) @ X2 )
      | ~ ( in @ ( apply_netmap @ X1 @ X0 @ X2 ) @ X3 )
      | ( is_often_in @ X1 @ X0 @ X3 )
      | ~ ( one_sorted_str @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[d12_waybel_0]) ).

thf(zip_derived_cl501,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ ( sk__2 @ X1 @ sk__13 @ X0 ) @ ( the_carrier @ sk__13 ) )
      | ( empty_carrier @ X0 )
      | ~ ( one_sorted_str @ X0 )
      | ( is_often_in @ X0 @ sk__13 @ X1 )
      | ~ ( in @ ( apply_netmap @ X0 @ sk__13 @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ ( sk__2 @ X1 @ sk__13 @ X0 ) @ sk__13 ) ) @ X1 )
      | ~ ( element @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ ( sk__2 @ X1 @ sk__13 @ X0 ) @ sk__13 ) @ ( the_carrier @ sk__13 ) )
      | ~ ( net_str @ sk__13 @ X0 )
      | ( empty_carrier @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl6]) ).

thf(zip_derived_cl54_021,plain,
    ~ ( empty_carrier @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl508,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ ( sk__2 @ X1 @ sk__13 @ X0 ) @ ( the_carrier @ sk__13 ) )
      | ( empty_carrier @ X0 )
      | ~ ( one_sorted_str @ X0 )
      | ( is_often_in @ X0 @ sk__13 @ X1 )
      | ~ ( in @ ( apply_netmap @ X0 @ sk__13 @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ ( sk__2 @ X1 @ sk__13 @ X0 ) @ sk__13 ) ) @ X1 )
      | ~ ( element @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ ( sk__2 @ X1 @ sk__13 @ X0 ) @ sk__13 ) @ ( the_carrier @ sk__13 ) )
      | ~ ( net_str @ sk__13 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl54]) ).

thf(zip_derived_cl196_022,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__13 ) )
      | ( element @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ X0 @ sk__13 ) @ ( the_carrier @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl189,zip_derived_cl54,zip_derived_cl58,zip_derived_cl52]) ).

thf(zip_derived_cl789,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( net_str @ sk__13 @ X0 )
      | ~ ( in @ ( apply_netmap @ X0 @ sk__13 @ ( sk__6 @ ( sk__1 @ sk__14 @ sk__13 @ sk__12 ) @ ( sk__2 @ X1 @ sk__13 @ X0 ) @ sk__13 ) ) @ X1 )
      | ( is_often_in @ X0 @ sk__13 @ X1 )
      | ~ ( one_sorted_str @ X0 )
      | ( empty_carrier @ X0 )
      | ~ ( element @ ( sk__2 @ X1 @ sk__13 @ X0 ) @ ( the_carrier @ sk__13 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl508,zip_derived_cl196]) ).

thf(zip_derived_cl906,plain,
    ( ~ ( element @ ( sk__2 @ sk__14 @ sk__13 @ sk__12 ) @ ( the_carrier @ sk__13 ) )
    | ~ ( element @ ( sk__2 @ sk__14 @ sk__13 @ sk__12 ) @ ( the_carrier @ sk__13 ) )
    | ( empty_carrier @ sk__12 )
    | ~ ( one_sorted_str @ sk__12 )
    | ( is_often_in @ sk__12 @ sk__13 @ sk__14 )
    | ~ ( net_str @ sk__13 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl905,zip_derived_cl789]) ).

thf(zip_derived_cl47_023,plain,
    ~ ( empty_carrier @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48_024,plain,
    one_sorted_str @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_025,plain,
    ~ ( is_often_in @ sk__12 @ sk__13 @ sk__14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51_026,plain,
    net_str @ sk__13 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl907,plain,
    ( ~ ( element @ ( sk__2 @ sk__14 @ sk__13 @ sk__12 ) @ ( the_carrier @ sk__13 ) )
    | ~ ( element @ ( sk__2 @ sk__14 @ sk__13 @ sk__12 ) @ ( the_carrier @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl906,zip_derived_cl47,zip_derived_cl48,zip_derived_cl50,zip_derived_cl51]) ).

thf(zip_derived_cl908,plain,
    ~ ( element @ ( sk__2 @ sk__14 @ sk__13 @ sk__12 ) @ ( the_carrier @ sk__13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl907]) ).

thf(zip_derived_cl909,plain,
    is_often_in @ sk__12 @ sk__13 @ sk__14,
    inference('sup-',[status(thm)],[zip_derived_cl182,zip_derived_cl908]) ).

thf(zip_derived_cl910,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl909]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU376+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HlCL2fynhz true
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Aug 23 15:24:23 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.40/1.06  % Solved by fo/fo4.sh.
% 1.40/1.06  % done 212 iterations in 0.263s
% 1.40/1.06  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.40/1.06  % SZS output start Refutation
% See solution above
% 1.40/1.06  
% 1.40/1.06  
% 1.40/1.06  % Terminating...
% 1.76/1.15  % Runner terminated.
% 1.76/1.17  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------