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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU375+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.fzQ2pgM31A true

% Computer : n012.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 04:54:25 PM UTC 2025

% Result   : Theorem 0.42s 0.99s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   76 (  35 unt;   0 typ;   0 def)
%            Number of atoms       :  299 (  17 equ;   0 cnn)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives : 1064 ( 180   ~; 170   |;  18   &; 661   @)
%                                         (   1 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;   8 con; 0-3 aty)
%            Number of variables   :  105 (   0   ^; 105   !;   0   ?; 105   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__16_type,type,
    sk__16: $i ).

thf(full_subnetstr_type,type,
    full_subnetstr: $i > $i > $i > $o ).

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

thf(subnetstr_type,type,
    subnetstr: $i > $i > $i > $o ).

thf(sk__19_type,type,
    sk__19: $i ).

thf(sk__18_type,type,
    sk__18: $i ).

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

thf(sk__17_type,type,
    sk__17: $i ).

thf(sk__15_type,type,
    sk__15: $i ).

thf(full_subrelstr_type,type,
    full_subrelstr: $i > $i > $o ).

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

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

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

thf(sk__20_type,type,
    sk__20: $i ).

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

thf(subrelstr_type,type,
    subrelstr: $i > $i > $o ).

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

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

thf(empty_type,type,
    empty: $i > $o ).

thf(sk__21_type,type,
    sk__21: $i ).

thf(dt_l1_orders_2,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ( one_sorted_str @ A ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( one_sorted_str @ X0 )
      | ~ ( rel_str @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l1_orders_2]) ).

thf(fc1_struct_0,axiom,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( one_sorted_str @ A ) )
     => ~ ( empty @ ( the_carrier @ A ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ~ ( empty @ ( the_carrier @ X0 ) )
      | ~ ( one_sorted_str @ X0 )
      | ( empty_carrier @ X0 ) ),
    inference(cnf,[status(esa)],[fc1_struct_0]) ).

thf(t21_yellow_6,conjecture,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ! [B: $i] :
          ( ( ~ ( empty_carrier @ B )
            & ( net_str @ B @ A ) )
         => ! [C: $i] :
              ( ( ~ ( empty_carrier @ C )
                & ( full_subnetstr @ C @ A @ B )
                & ( subnetstr @ C @ A @ B ) )
             => ! [D: $i] :
                  ( ( element @ D @ ( the_carrier @ B ) )
                 => ! [E: $i] :
                      ( ( element @ E @ ( the_carrier @ B ) )
                     => ! [F: $i] :
                          ( ( element @ F @ ( the_carrier @ C ) )
                         => ! [G: $i] :
                              ( ( element @ G @ ( the_carrier @ C ) )
                             => ( ( ( D = F )
                                  & ( E = G )
                                  & ( related @ B @ D @ E ) )
                               => ( related @ C @ F @ G ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( one_sorted_str @ A )
       => ! [B: $i] :
            ( ( ~ ( empty_carrier @ B )
              & ( net_str @ B @ A ) )
           => ! [C: $i] :
                ( ( ~ ( empty_carrier @ C )
                  & ( full_subnetstr @ C @ A @ B )
                  & ( subnetstr @ C @ A @ B ) )
               => ! [D: $i] :
                    ( ( element @ D @ ( the_carrier @ B ) )
                   => ! [E: $i] :
                        ( ( element @ E @ ( the_carrier @ B ) )
                       => ! [F: $i] :
                            ( ( element @ F @ ( the_carrier @ C ) )
                           => ! [G: $i] :
                                ( ( element @ G @ ( the_carrier @ C ) )
                               => ( ( ( D = F )
                                    & ( E = G )
                                    & ( related @ B @ D @ E ) )
                                 => ( related @ C @ F @ G ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t21_yellow_6]) ).

thf(zip_derived_cl55,plain,
    ~ ( empty_carrier @ sk__17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl302,plain,
    ( ~ ( one_sorted_str @ sk__17 )
    | ~ ( empty @ ( the_carrier @ sk__17 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl55]) ).

thf(zip_derived_cl60,plain,
    ~ ( related @ sk__17 @ sk__20 @ sk__21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63,plain,
    sk__18 = sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61,plain,
    sk__19 = sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl311,plain,
    ~ ( related @ sk__17 @ sk__18 @ sk__19 ),
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl63,zip_derived_cl61]) ).

thf(zip_derived_cl56,plain,
    full_subnetstr @ sk__17 @ sk__15 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56_001,plain,
    full_subnetstr @ sk__17 @ sk__15 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d9_yellow_6,axiom,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ! [B: $i] :
          ( ( net_str @ B @ A )
         => ! [C: $i] :
              ( ( subnetstr @ C @ A @ B )
             => ( ( full_subnetstr @ C @ A @ B )
              <=> ( ( full_subrelstr @ C @ B )
                  & ( subrelstr @ C @ B ) ) ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( net_str @ X0 @ X1 )
      | ~ ( full_subnetstr @ X2 @ X1 @ X0 )
      | ( subrelstr @ X2 @ X0 )
      | ~ ( subnetstr @ X2 @ X1 @ X0 )
      | ~ ( one_sorted_str @ X1 ) ),
    inference(cnf,[status(esa)],[d9_yellow_6]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( net_str @ X0 @ X1 )
      | ~ ( full_subnetstr @ X2 @ X1 @ X0 )
      | ( full_subrelstr @ X2 @ X0 )
      | ~ ( subnetstr @ X2 @ X1 @ X0 )
      | ~ ( one_sorted_str @ X1 ) ),
    inference(cnf,[status(esa)],[d9_yellow_6]) ).

thf(t61_yellow_0,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i] :
          ( ( ( full_subrelstr @ B @ A )
            & ( subrelstr @ B @ A ) )
         => ! [C: $i] :
              ( ( element @ C @ ( the_carrier @ A ) )
             => ! [D: $i] :
                  ( ( element @ D @ ( the_carrier @ A ) )
                 => ! [E: $i] :
                      ( ( element @ E @ ( the_carrier @ B ) )
                     => ! [F: $i] :
                          ( ( element @ F @ ( the_carrier @ B ) )
                         => ( ( ( E = C )
                              & ( F = D )
                              & ( related @ A @ C @ D )
                              & ( in @ E @ ( the_carrier @ B ) )
                              & ( in @ F @ ( the_carrier @ B ) ) )
                           => ( related @ B @ E @ F ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( full_subrelstr @ X0 @ X1 )
      | ~ ( subrelstr @ X0 @ X1 )
      | ~ ( element @ X2 @ ( the_carrier @ X1 ) )
      | ~ ( element @ X3 @ ( the_carrier @ X0 ) )
      | ( related @ X0 @ X4 @ X3 )
      | ~ ( in @ X3 @ ( the_carrier @ X0 ) )
      | ( X3 != X2 )
      | ~ ( in @ X4 @ ( the_carrier @ X0 ) )
      | ~ ( related @ X1 @ X5 @ X2 )
      | ( X4 != X5 )
      | ~ ( element @ X4 @ ( the_carrier @ X0 ) )
      | ~ ( element @ X5 @ ( the_carrier @ X1 ) )
      | ~ ( rel_str @ X1 ) ),
    inference(cnf,[status(esa)],[t61_yellow_0]) ).

thf(zip_derived_cl300,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( one_sorted_str @ X0 )
      | ~ ( subnetstr @ X2 @ X0 @ X1 )
      | ~ ( full_subnetstr @ X2 @ X0 @ X1 )
      | ~ ( net_str @ X1 @ X0 )
      | ~ ( rel_str @ X1 )
      | ~ ( element @ X6 @ ( the_carrier @ X1 ) )
      | ~ ( element @ X5 @ ( the_carrier @ X2 ) )
      | ( X5 != X6 )
      | ~ ( related @ X1 @ X6 @ X3 )
      | ~ ( in @ X5 @ ( the_carrier @ X2 ) )
      | ( X4 != X3 )
      | ~ ( in @ X4 @ ( the_carrier @ X2 ) )
      | ( related @ X2 @ X5 @ X4 )
      | ~ ( element @ X4 @ ( the_carrier @ X2 ) )
      | ~ ( element @ X3 @ ( the_carrier @ X1 ) )
      | ~ ( subrelstr @ X2 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl69]) ).

thf(zip_derived_cl306,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( one_sorted_str @ X0 )
      | ~ ( subnetstr @ X2 @ X0 @ X1 )
      | ~ ( full_subnetstr @ X2 @ X0 @ X1 )
      | ~ ( net_str @ X1 @ X0 )
      | ~ ( element @ X6 @ ( the_carrier @ X1 ) )
      | ~ ( element @ X7 @ ( the_carrier @ X2 ) )
      | ( related @ X2 @ X5 @ X7 )
      | ~ ( in @ X7 @ ( the_carrier @ X2 ) )
      | ( X7 != X6 )
      | ~ ( in @ X5 @ ( the_carrier @ X2 ) )
      | ~ ( related @ X1 @ X4 @ X6 )
      | ( X5 != X4 )
      | ~ ( element @ X5 @ ( the_carrier @ X2 ) )
      | ~ ( element @ X4 @ ( the_carrier @ X1 ) )
      | ~ ( rel_str @ X1 )
      | ~ ( net_str @ X1 @ X3 )
      | ~ ( full_subnetstr @ X2 @ X3 @ X1 )
      | ~ ( subnetstr @ X2 @ X3 @ X1 )
      | ~ ( one_sorted_str @ X3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl300]) ).

thf(zip_derived_cl393,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( one_sorted_str @ X0 )
      | ~ ( subnetstr @ X2 @ X0 @ X1 )
      | ~ ( full_subnetstr @ X2 @ X0 @ X1 )
      | ~ ( net_str @ X1 @ X0 )
      | ~ ( rel_str @ X1 )
      | ~ ( element @ X3 @ ( the_carrier @ X1 ) )
      | ~ ( element @ X4 @ ( the_carrier @ X2 ) )
      | ( X4 != X3 )
      | ~ ( related @ X1 @ X3 @ X5 )
      | ~ ( in @ X4 @ ( the_carrier @ X2 ) )
      | ~ ( in @ X5 @ ( the_carrier @ X2 ) )
      | ( related @ X2 @ X4 @ X5 )
      | ~ ( element @ X5 @ ( the_carrier @ X2 ) )
      | ~ ( element @ X5 @ ( the_carrier @ X1 ) )
      | ~ ( net_str @ X1 @ X6 )
      | ~ ( full_subnetstr @ X2 @ X6 @ X1 )
      | ~ ( subnetstr @ X2 @ X6 @ X1 )
      | ~ ( one_sorted_str @ X6 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl306]) ).

thf(zip_derived_cl420,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( one_sorted_str @ X0 )
      | ~ ( subnetstr @ X2 @ X0 @ X1 )
      | ~ ( full_subnetstr @ X2 @ X0 @ X1 )
      | ~ ( net_str @ X1 @ X0 )
      | ~ ( element @ X3 @ ( the_carrier @ X1 ) )
      | ~ ( element @ X3 @ ( the_carrier @ X2 ) )
      | ( related @ X2 @ X4 @ X3 )
      | ~ ( in @ X3 @ ( the_carrier @ X2 ) )
      | ~ ( in @ X4 @ ( the_carrier @ X2 ) )
      | ~ ( related @ X1 @ X4 @ X3 )
      | ~ ( element @ X4 @ ( the_carrier @ X2 ) )
      | ~ ( element @ X4 @ ( the_carrier @ X1 ) )
      | ~ ( rel_str @ X1 )
      | ~ ( net_str @ X1 @ X5 )
      | ~ ( full_subnetstr @ X2 @ X5 @ X1 )
      | ~ ( subnetstr @ X2 @ X5 @ X1 )
      | ~ ( one_sorted_str @ X5 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl393]) ).

thf(zip_derived_cl426,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( one_sorted_str @ X0 )
      | ~ ( subnetstr @ sk__17 @ X0 @ sk__16 )
      | ~ ( full_subnetstr @ sk__17 @ X0 @ sk__16 )
      | ~ ( net_str @ sk__16 @ X0 )
      | ~ ( rel_str @ sk__16 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__16 ) )
      | ~ ( element @ X1 @ ( the_carrier @ sk__17 ) )
      | ~ ( related @ sk__16 @ X1 @ X2 )
      | ~ ( in @ X1 @ ( the_carrier @ sk__17 ) )
      | ~ ( in @ X2 @ ( the_carrier @ sk__17 ) )
      | ( related @ sk__17 @ X1 @ X2 )
      | ~ ( element @ X2 @ ( the_carrier @ sk__17 ) )
      | ~ ( element @ X2 @ ( the_carrier @ sk__16 ) )
      | ~ ( net_str @ sk__16 @ sk__15 )
      | ~ ( subnetstr @ sk__17 @ sk__15 @ sk__16 )
      | ~ ( one_sorted_str @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl420]) ).

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

thf(zip_derived_cl14,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_cl66,plain,
    net_str @ sk__16 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl326,plain,
    ( ~ ( one_sorted_str @ sk__15 )
    | ( rel_str @ sk__16 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl66]) ).

thf(zip_derived_cl54,plain,
    one_sorted_str @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl327,plain,
    rel_str @ sk__16,
    inference(demod,[status(thm)],[zip_derived_cl326,zip_derived_cl54]) ).

thf(zip_derived_cl66_002,plain,
    net_str @ sk__16 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    subnetstr @ sk__17 @ sk__15 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54_003,plain,
    one_sorted_str @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl431,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( one_sorted_str @ X0 )
      | ~ ( subnetstr @ sk__17 @ X0 @ sk__16 )
      | ~ ( full_subnetstr @ sk__17 @ X0 @ sk__16 )
      | ~ ( net_str @ sk__16 @ X0 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__16 ) )
      | ~ ( element @ X1 @ ( the_carrier @ sk__17 ) )
      | ~ ( related @ sk__16 @ X1 @ X2 )
      | ~ ( in @ X1 @ ( the_carrier @ sk__17 ) )
      | ~ ( in @ X2 @ ( the_carrier @ sk__17 ) )
      | ( related @ sk__17 @ X1 @ X2 )
      | ~ ( element @ X2 @ ( the_carrier @ sk__17 ) )
      | ~ ( element @ X2 @ ( the_carrier @ sk__16 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl327,zip_derived_cl66,zip_derived_cl57,zip_derived_cl54]) ).

thf(zip_derived_cl433,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__16 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__17 ) )
      | ( related @ sk__17 @ X1 @ X0 )
      | ~ ( in @ X0 @ ( the_carrier @ sk__17 ) )
      | ~ ( in @ X1 @ ( the_carrier @ sk__17 ) )
      | ~ ( related @ sk__16 @ X1 @ X0 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__17 ) )
      | ~ ( element @ X1 @ ( the_carrier @ sk__16 ) )
      | ~ ( net_str @ sk__16 @ sk__15 )
      | ~ ( subnetstr @ sk__17 @ sk__15 @ sk__16 )
      | ~ ( one_sorted_str @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl431]) ).

thf(zip_derived_cl66_004,plain,
    net_str @ sk__16 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_005,plain,
    subnetstr @ sk__17 @ sk__15 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54_006,plain,
    one_sorted_str @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl435,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__16 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__17 ) )
      | ( related @ sk__17 @ X1 @ X0 )
      | ~ ( in @ X0 @ ( the_carrier @ sk__17 ) )
      | ~ ( in @ X1 @ ( the_carrier @ sk__17 ) )
      | ~ ( related @ sk__16 @ X1 @ X0 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__17 ) )
      | ~ ( element @ X1 @ ( the_carrier @ sk__16 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl66,zip_derived_cl57,zip_derived_cl54]) ).

thf(t1_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( element @ A @ B ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl436,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X1 @ ( the_carrier @ sk__16 ) )
      | ~ ( element @ X1 @ ( the_carrier @ sk__17 ) )
      | ~ ( related @ sk__16 @ X1 @ X0 )
      | ~ ( in @ X1 @ ( the_carrier @ sk__17 ) )
      | ~ ( in @ X0 @ ( the_carrier @ sk__17 ) )
      | ( related @ sk__17 @ X1 @ X0 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__16 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl435,zip_derived_cl53]) ).

thf(zip_derived_cl53_007,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl437,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__16 ) )
      | ( related @ sk__17 @ X1 @ X0 )
      | ~ ( in @ X0 @ ( the_carrier @ sk__17 ) )
      | ~ ( in @ X1 @ ( the_carrier @ sk__17 ) )
      | ~ ( related @ sk__16 @ X1 @ X0 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__16 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl436,zip_derived_cl53]) ).

thf(zip_derived_cl439,plain,
    ( ~ ( element @ sk__18 @ ( the_carrier @ sk__16 ) )
    | ~ ( related @ sk__16 @ sk__18 @ sk__19 )
    | ~ ( in @ sk__18 @ ( the_carrier @ sk__17 ) )
    | ~ ( in @ sk__19 @ ( the_carrier @ sk__17 ) )
    | ~ ( element @ sk__19 @ ( the_carrier @ sk__16 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl311,zip_derived_cl437]) ).

thf(zip_derived_cl65,plain,
    element @ sk__18 @ ( the_carrier @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62,plain,
    related @ sk__16 @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58,plain,
    element @ sk__19 @ ( the_carrier @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl440,plain,
    ( ~ ( in @ sk__18 @ ( the_carrier @ sk__17 ) )
    | ~ ( in @ sk__19 @ ( the_carrier @ sk__17 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl439,zip_derived_cl65,zip_derived_cl62,zip_derived_cl58]) ).

thf(t2_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ B )
     => ( ( empty @ B )
        | ( in @ A @ B ) ) ) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t2_subset]) ).

thf(zip_derived_cl59,plain,
    element @ sk__21 @ ( the_carrier @ sk__17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61_008,plain,
    sk__19 = sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl336,plain,
    element @ sk__19 @ ( the_carrier @ sk__17 ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl61]) ).

thf(zip_derived_cl347,plain,
    ( ( empty @ ( the_carrier @ sk__17 ) )
    | ( in @ sk__19 @ ( the_carrier @ sk__17 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl68,zip_derived_cl336]) ).

thf(zip_derived_cl442,plain,
    ( ~ ( in @ sk__18 @ ( the_carrier @ sk__17 ) )
    | ( empty @ ( the_carrier @ sk__17 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl440,zip_derived_cl347]) ).

thf(zip_derived_cl68_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t2_subset]) ).

thf(zip_derived_cl64,plain,
    element @ sk__20 @ ( the_carrier @ sk__17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63_010,plain,
    sk__18 = sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl337,plain,
    element @ sk__18 @ ( the_carrier @ sk__17 ),
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl63]) ).

thf(zip_derived_cl345,plain,
    ( ( empty @ ( the_carrier @ sk__17 ) )
    | ( in @ sk__18 @ ( the_carrier @ sk__17 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl68,zip_derived_cl337]) ).

thf(zip_derived_cl444,plain,
    empty @ ( the_carrier @ sk__17 ),
    inference(clc,[status(thm)],[zip_derived_cl442,zip_derived_cl345]) ).

thf(zip_derived_cl445,plain,
    ~ ( one_sorted_str @ sk__17 ),
    inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl444]) ).

thf(zip_derived_cl460,plain,
    ~ ( rel_str @ sk__17 ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl445]) ).

thf(zip_derived_cl14_011,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(dt_m1_yellow_6,axiom,
    ! [A: $i,B: $i] :
      ( ( ( one_sorted_str @ A )
        & ( net_str @ B @ A ) )
     => ! [C: $i] :
          ( ( subnetstr @ C @ A @ B )
         => ( net_str @ C @ A ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( one_sorted_str @ X0 )
      | ~ ( net_str @ X1 @ X0 )
      | ( net_str @ X2 @ X0 )
      | ~ ( subnetstr @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m1_yellow_6]) ).

thf(zip_derived_cl57_012,plain,
    subnetstr @ sk__17 @ sk__15 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl356,plain,
    ( ( net_str @ sk__17 @ sk__15 )
    | ~ ( net_str @ sk__16 @ sk__15 )
    | ~ ( one_sorted_str @ sk__15 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl57]) ).

thf(zip_derived_cl66_013,plain,
    net_str @ sk__16 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54_014,plain,
    one_sorted_str @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl357,plain,
    net_str @ sk__17 @ sk__15,
    inference(demod,[status(thm)],[zip_derived_cl356,zip_derived_cl66,zip_derived_cl54]) ).

thf(zip_derived_cl360,plain,
    ( ~ ( one_sorted_str @ sk__15 )
    | ( rel_str @ sk__17 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl357]) ).

thf(zip_derived_cl54_015,plain,
    one_sorted_str @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl361,plain,
    rel_str @ sk__17,
    inference(demod,[status(thm)],[zip_derived_cl360,zip_derived_cl54]) ).

thf(zip_derived_cl461,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl460,zip_derived_cl361]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.16  % Problem  : SEU375+1 : TPTP v9.2.0. Released v3.3.0.
% 0.04/0.16  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fzQ2pgM31A true
% 0.10/0.37  % Computer : n012.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8042.1875MB
% 0.10/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Wed Oct  1 16:12:23 EDT 2025
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  % Running portfolio for 300 s
% 0.10/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  % Number of cores: 8
% 0.10/0.38  % Python version: Python 3.6.8
% 0.10/0.38  % Running in FO mode
% 0.36/0.64  % Total configuration time : 435
% 0.36/0.64  % Estimated wc time : 1092
% 0.36/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.41/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.41/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.41/0.87  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.41/0.89  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/0.96  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/0.98  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.42/0.99  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.42/0.99  % Solved by fo/fo3_bce.sh.
% 0.42/0.99  % BCE start: 73
% 0.42/0.99  % BCE eliminated: 8
% 0.42/0.99  % PE start: 65
% 0.42/0.99  logic: eq
% 0.42/0.99  % PE eliminated: 1
% 0.42/0.99  % done 118 iterations in 0.124s
% 0.42/0.99  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.42/0.99  % SZS output start Refutation
% See solution above
% 0.42/0.99  
% 0.42/0.99  
% 0.42/1.00  % Terminating...
% 1.65/1.17  % Runner terminated.
% 1.69/1.19  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------