TSTP Solution File: SEU376+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU376+1 : 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.DsbNmTuMzn true

% Computer : n006.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 19:12:30 EDT 2023

% Result   : Theorem 1.35s 0.86s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   92 (  39 unt;  19 typ;   0 def)
%            Number of atoms       :  211 (   0 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  894 ( 107   ~;  99   |;  18   &; 649   @)
%                                         (   3 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   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   :   67 (   0   ^;  64   !;   3   ?;  67   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__25_type,type,
    sk__25: $i ).

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

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

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

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

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

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

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

thf(sk__26_type,type,
    sk__26: $i ).

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

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

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

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

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

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

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

thf(sk__27_type,type,
    sk__27: $i ).

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

thf(rel_str_type,type,
    rel_str: $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_cl98,plain,
    directed_relstr @ sk__26,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl24,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_cl686,plain,
    ! [X0: $i,X1: $i] :
      ( ( empty_carrier @ sk__26 )
      | ~ ( rel_str @ sk__26 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__26 ) )
      | ( element @ ( sk__6 @ X0 @ X1 @ sk__26 ) @ ( the_carrier @ sk__26 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__26 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl98,zip_derived_cl24]) ).

thf(zip_derived_cl100,plain,
    ~ ( empty_carrier @ sk__26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97,plain,
    net_str @ sk__26 @ sk__25,
    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_cl34,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_cl746,plain,
    ( ~ ( one_sorted_str @ sk__25 )
    | ( rel_str @ sk__26 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl34]) ).

thf(zip_derived_cl94,plain,
    one_sorted_str @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl747,plain,
    rel_str @ sk__26,
    inference(demod,[status(thm)],[zip_derived_cl746,zip_derived_cl94]) ).

thf(zip_derived_cl855,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X1 @ ( the_carrier @ sk__26 ) )
      | ( element @ ( sk__6 @ X0 @ X1 @ sk__26 ) @ ( the_carrier @ sk__26 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__26 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl100,zip_derived_cl747]) ).

thf(zip_derived_cl98_001,plain,
    directed_relstr @ sk__26,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,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_cl685,plain,
    ! [X0: $i,X1: $i] :
      ( ( empty_carrier @ sk__26 )
      | ~ ( rel_str @ sk__26 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__26 ) )
      | ( related @ sk__26 @ X1 @ ( sk__6 @ X0 @ X1 @ sk__26 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__26 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl98,zip_derived_cl23]) ).

thf(zip_derived_cl100_002,plain,
    ~ ( empty_carrier @ sk__26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl747_003,plain,
    rel_str @ sk__26,
    inference(demod,[status(thm)],[zip_derived_cl746,zip_derived_cl94]) ).

thf(zip_derived_cl841,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X1 @ ( the_carrier @ sk__26 ) )
      | ( related @ sk__26 @ X1 @ ( sk__6 @ X0 @ X1 @ sk__26 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__26 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl685,zip_derived_cl100,zip_derived_cl747]) ).

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_cl15,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_cl96,plain,
    ~ ( is_often_in @ sk__25 @ sk__26 @ sk__27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl674,plain,
    ! [X0: $i] :
      ( ( empty_carrier @ sk__25 )
      | ~ ( one_sorted_str @ sk__25 )
      | ~ ( in @ ( apply_netmap @ sk__25 @ sk__26 @ X0 ) @ sk__27 )
      | ~ ( related @ sk__26 @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ X0 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__26 ) )
      | ~ ( net_str @ sk__26 @ sk__25 )
      | ( empty_carrier @ sk__26 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl96]) ).

thf(zip_derived_cl93,plain,
    ~ ( empty_carrier @ sk__25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94_004,plain,
    one_sorted_str @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97_005,plain,
    net_str @ sk__26 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_006,plain,
    ~ ( empty_carrier @ sk__26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl878,plain,
    ! [X0: $i] :
      ( ~ ( in @ ( apply_netmap @ sk__25 @ sk__26 @ X0 ) @ sk__27 )
      | ~ ( related @ sk__26 @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ X0 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__26 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl674,zip_derived_cl93,zip_derived_cl94,zip_derived_cl97,zip_derived_cl100]) ).

thf(zip_derived_cl881,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__26 ) )
      | ~ ( element @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ ( the_carrier @ sk__26 ) )
      | ~ ( element @ ( sk__6 @ X0 @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ sk__26 ) @ ( the_carrier @ sk__26 ) )
      | ~ ( in @ ( apply_netmap @ sk__25 @ sk__26 @ ( sk__6 @ X0 @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ sk__26 ) ) @ sk__27 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl841,zip_derived_cl878]) ).

thf(zip_derived_cl14,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_cl96_007,plain,
    ~ ( is_often_in @ sk__25 @ sk__26 @ sk__27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl670,plain,
    ( ( empty_carrier @ sk__25 )
    | ~ ( one_sorted_str @ sk__25 )
    | ( element @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ ( the_carrier @ sk__26 ) )
    | ~ ( net_str @ sk__26 @ sk__25 )
    | ( empty_carrier @ sk__26 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl96]) ).

thf(zip_derived_cl93_008,plain,
    ~ ( empty_carrier @ sk__25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94_009,plain,
    one_sorted_str @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97_010,plain,
    net_str @ sk__26 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_011,plain,
    ~ ( empty_carrier @ sk__26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl842,plain,
    element @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ ( the_carrier @ sk__26 ),
    inference(demod,[status(thm)],[zip_derived_cl670,zip_derived_cl93,zip_derived_cl94,zip_derived_cl97,zip_derived_cl100]) ).

thf(zip_derived_cl884,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__26 ) )
      | ~ ( element @ ( sk__6 @ X0 @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ sk__26 ) @ ( the_carrier @ sk__26 ) )
      | ~ ( in @ ( apply_netmap @ sk__25 @ sk__26 @ ( sk__6 @ X0 @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ sk__26 ) ) @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl881,zip_derived_cl842]) ).

thf(zip_derived_cl98_012,plain,
    directed_relstr @ sk__26,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22,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_cl684,plain,
    ! [X0: $i,X1: $i] :
      ( ( empty_carrier @ sk__26 )
      | ~ ( rel_str @ sk__26 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__26 ) )
      | ( related @ sk__26 @ X0 @ ( sk__6 @ X0 @ X1 @ sk__26 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__26 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl98,zip_derived_cl22]) ).

thf(zip_derived_cl100_013,plain,
    ~ ( empty_carrier @ sk__26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl747_014,plain,
    rel_str @ sk__26,
    inference(demod,[status(thm)],[zip_derived_cl746,zip_derived_cl94]) ).

thf(zip_derived_cl830,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X1 @ ( the_carrier @ sk__26 ) )
      | ( related @ sk__26 @ X0 @ ( sk__6 @ X0 @ X1 @ sk__26 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__26 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl684,zip_derived_cl100,zip_derived_cl747]) ).

thf(zip_derived_cl95,plain,
    is_eventually_in @ sk__25 @ sk__26 @ sk__27,
    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_cl13,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_cl666,plain,
    ! [X0: $i] :
      ( ( empty_carrier @ sk__25 )
      | ~ ( one_sorted_str @ sk__25 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__26 ) )
      | ( in @ ( apply_netmap @ sk__25 @ sk__26 @ X0 ) @ sk__27 )
      | ~ ( related @ sk__26 @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ X0 )
      | ~ ( net_str @ sk__26 @ sk__25 )
      | ( empty_carrier @ sk__26 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl95,zip_derived_cl13]) ).

thf(zip_derived_cl93_015,plain,
    ~ ( empty_carrier @ sk__25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94_016,plain,
    one_sorted_str @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97_017,plain,
    net_str @ sk__26 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_018,plain,
    ~ ( empty_carrier @ sk__26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl885,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__26 ) )
      | ( in @ ( apply_netmap @ sk__25 @ sk__26 @ X0 ) @ sk__27 )
      | ~ ( related @ sk__26 @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl666,zip_derived_cl93,zip_derived_cl94,zip_derived_cl97,zip_derived_cl100]) ).

thf(zip_derived_cl887,plain,
    ! [X0: $i] :
      ( ~ ( element @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ ( the_carrier @ sk__26 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__26 ) )
      | ( in @ ( apply_netmap @ sk__25 @ sk__26 @ ( sk__6 @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ X0 @ sk__26 ) ) @ sk__27 )
      | ~ ( element @ ( sk__6 @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ X0 @ sk__26 ) @ ( the_carrier @ sk__26 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl830,zip_derived_cl885]) ).

thf(zip_derived_cl95_019,plain,
    is_eventually_in @ sk__25 @ sk__26 @ sk__27,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,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_cl665,plain,
    ( ( empty_carrier @ sk__25 )
    | ~ ( one_sorted_str @ sk__25 )
    | ( element @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ ( the_carrier @ sk__26 ) )
    | ~ ( net_str @ sk__26 @ sk__25 )
    | ( empty_carrier @ sk__26 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl95,zip_derived_cl12]) ).

thf(zip_derived_cl93_020,plain,
    ~ ( empty_carrier @ sk__25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94_021,plain,
    one_sorted_str @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97_022,plain,
    net_str @ sk__26 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_023,plain,
    ~ ( empty_carrier @ sk__26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl831,plain,
    element @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ ( the_carrier @ sk__26 ),
    inference(demod,[status(thm)],[zip_derived_cl665,zip_derived_cl93,zip_derived_cl94,zip_derived_cl97,zip_derived_cl100]) ).

thf(zip_derived_cl890,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__26 ) )
      | ( in @ ( apply_netmap @ sk__25 @ sk__26 @ ( sk__6 @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ X0 @ sk__26 ) ) @ sk__27 )
      | ~ ( element @ ( sk__6 @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ X0 @ sk__26 ) @ ( the_carrier @ sk__26 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl887,zip_derived_cl831]) ).

thf(zip_derived_cl929,plain,
    ( ~ ( element @ ( sk__6 @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ sk__26 ) @ ( the_carrier @ sk__26 ) )
    | ~ ( element @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ ( the_carrier @ sk__26 ) )
    | ~ ( element @ ( sk__6 @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ sk__26 ) @ ( the_carrier @ sk__26 ) )
    | ~ ( element @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ ( the_carrier @ sk__26 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl884,zip_derived_cl890]) ).

thf(zip_derived_cl831_024,plain,
    element @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ ( the_carrier @ sk__26 ),
    inference(demod,[status(thm)],[zip_derived_cl665,zip_derived_cl93,zip_derived_cl94,zip_derived_cl97,zip_derived_cl100]) ).

thf(zip_derived_cl842_025,plain,
    element @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ ( the_carrier @ sk__26 ),
    inference(demod,[status(thm)],[zip_derived_cl670,zip_derived_cl93,zip_derived_cl94,zip_derived_cl97,zip_derived_cl100]) ).

thf(zip_derived_cl930,plain,
    ( ~ ( element @ ( sk__6 @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ sk__26 ) @ ( the_carrier @ sk__26 ) )
    | ~ ( element @ ( sk__6 @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ sk__26 ) @ ( the_carrier @ sk__26 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl929,zip_derived_cl831,zip_derived_cl842]) ).

thf(zip_derived_cl931,plain,
    ~ ( element @ ( sk__6 @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ sk__26 ) @ ( the_carrier @ sk__26 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl930]) ).

thf(zip_derived_cl959,plain,
    ( ~ ( element @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ ( the_carrier @ sk__26 ) )
    | ~ ( element @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ ( the_carrier @ sk__26 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl855,zip_derived_cl931]) ).

thf(zip_derived_cl831_026,plain,
    element @ ( sk__1 @ sk__27 @ sk__26 @ sk__25 ) @ ( the_carrier @ sk__26 ),
    inference(demod,[status(thm)],[zip_derived_cl665,zip_derived_cl93,zip_derived_cl94,zip_derived_cl97,zip_derived_cl100]) ).

thf(zip_derived_cl842_027,plain,
    element @ ( sk__2 @ sk__27 @ sk__26 @ sk__25 ) @ ( the_carrier @ sk__26 ),
    inference(demod,[status(thm)],[zip_derived_cl670,zip_derived_cl93,zip_derived_cl94,zip_derived_cl97,zip_derived_cl100]) ).

thf(zip_derived_cl960,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl959,zip_derived_cl831,zip_derived_cl842]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SEU376+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DsbNmTuMzn true
% 0.10/0.32  % Computer : n006.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Wed Aug 23 23:52:38 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Running portfolio for 300 s
% 0.10/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in FO mode
% 0.17/0.62  % Total configuration time : 435
% 0.17/0.62  % Estimated wc time : 1092
% 0.17/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.35/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.35/0.86  % Solved by fo/fo3_bce.sh.
% 1.35/0.86  % BCE start: 109
% 1.35/0.86  % BCE eliminated: 9
% 1.35/0.86  % PE start: 100
% 1.35/0.86  logic: eq
% 1.35/0.86  % PE eliminated: -12
% 1.35/0.86  % done 150 iterations in 0.103s
% 1.35/0.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.86  % SZS output start Refutation
% See solution above
% 1.35/0.86  
% 1.35/0.86  
% 1.35/0.86  % Terminating...
% 1.68/0.93  % Runner terminated.
% 1.68/0.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------