TSTP Solution File: SEU375+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU375+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.ckKO5gsRFs 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 Aug 31 19:12:30 EDT 2023

% Result   : Theorem 1.13s 0.82s
% Output   : Refutation 1.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   99 (  38 unt;  20 typ;   0 def)
%            Number of atoms       :  289 (  15 equ;   0 cnn)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives : 1025 ( 168   ~; 157   |;  18   &; 647   @)
%                                         (   1 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;   8 con; 0-3 aty)
%            Number of variables   :   94 (   0   ^;  94   !;   0   ?;  94   :)

% 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(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_cl68_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t2_subset]) ).

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_cl56,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_cl340,plain,
    ( ~ ( net_str @ sk__16 @ sk__15 )
    | ( subrelstr @ sk__17 @ sk__16 )
    | ~ ( subnetstr @ sk__17 @ sk__15 @ sk__16 )
    | ~ ( one_sorted_str @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl9]) ).

thf(zip_derived_cl66,plain,
    net_str @ sk__16 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl341,plain,
    ( ( subrelstr @ sk__17 @ sk__16 )
    | ~ ( subnetstr @ sk__17 @ sk__15 @ sk__16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl66,zip_derived_cl54]) ).

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

thf(zip_derived_cl406,plain,
    subrelstr @ sk__17 @ sk__16,
    inference(demod,[status(thm)],[zip_derived_cl341,zip_derived_cl57]) ).

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

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

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_cl413,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( subrelstr @ X1 @ X0 )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ~ ( element @ X3 @ ( the_carrier @ X1 ) )
      | ( related @ X1 @ X4 @ X3 )
      | ~ ( in @ X3 @ ( the_carrier @ X1 ) )
      | ( X3 != X2 )
      | ~ ( in @ X4 @ ( the_carrier @ X1 ) )
      | ~ ( related @ X0 @ X4 @ X2 )
      | ~ ( element @ X4 @ ( the_carrier @ X1 ) )
      | ~ ( element @ X4 @ ( the_carrier @ X0 ) )
      | ~ ( rel_str @ X0 )
      | ~ ( net_str @ X0 @ X5 )
      | ~ ( full_subnetstr @ X1 @ X5 @ X0 )
      | ~ ( subnetstr @ X1 @ X5 @ X0 )
      | ~ ( one_sorted_str @ X5 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl300]) ).

thf(zip_derived_cl548,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $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 @ X3 @ ( the_carrier @ X2 ) )
      | ~ ( related @ X1 @ X3 @ X4 )
      | ~ ( in @ X3 @ ( the_carrier @ X2 ) )
      | ~ ( in @ X4 @ ( the_carrier @ X2 ) )
      | ( related @ X2 @ X3 @ X4 )
      | ~ ( element @ X4 @ ( the_carrier @ X2 ) )
      | ~ ( element @ X4 @ ( the_carrier @ X1 ) )
      | ~ ( subrelstr @ X2 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl413]) ).

thf(zip_derived_cl561,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( one_sorted_str @ X0 )
      | ~ ( subnetstr @ X1 @ X0 @ sk__16 )
      | ~ ( full_subnetstr @ X1 @ X0 @ sk__16 )
      | ~ ( net_str @ sk__16 @ X0 )
      | ~ ( rel_str @ sk__16 )
      | ~ ( element @ sk__18 @ ( the_carrier @ X1 ) )
      | ~ ( related @ sk__16 @ sk__18 @ X2 )
      | ~ ( in @ sk__18 @ ( the_carrier @ X1 ) )
      | ~ ( in @ X2 @ ( the_carrier @ X1 ) )
      | ( related @ X1 @ sk__18 @ X2 )
      | ~ ( element @ X2 @ ( the_carrier @ X1 ) )
      | ~ ( element @ X2 @ ( the_carrier @ sk__16 ) )
      | ~ ( subrelstr @ X1 @ sk__16 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl548]) ).

thf(zip_derived_cl66_003,plain,
    net_str @ sk__16 @ sk__15,
    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_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_cl318,plain,
    ( ( rel_str @ sk__16 )
    | ~ ( one_sorted_str @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl14]) ).

thf(zip_derived_cl54_004,plain,
    one_sorted_str @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl319,plain,
    rel_str @ sk__16,
    inference(demod,[status(thm)],[zip_derived_cl318,zip_derived_cl54]) ).

thf(zip_derived_cl567,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( one_sorted_str @ X0 )
      | ~ ( subnetstr @ X1 @ X0 @ sk__16 )
      | ~ ( full_subnetstr @ X1 @ X0 @ sk__16 )
      | ~ ( net_str @ sk__16 @ X0 )
      | ~ ( element @ sk__18 @ ( the_carrier @ X1 ) )
      | ~ ( related @ sk__16 @ sk__18 @ X2 )
      | ~ ( in @ sk__18 @ ( the_carrier @ X1 ) )
      | ~ ( in @ X2 @ ( the_carrier @ X1 ) )
      | ( related @ X1 @ sk__18 @ X2 )
      | ~ ( element @ X2 @ ( the_carrier @ X1 ) )
      | ~ ( element @ X2 @ ( the_carrier @ sk__16 ) )
      | ~ ( subrelstr @ X1 @ sk__16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl561,zip_derived_cl319]) ).

thf(zip_derived_cl571,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( one_sorted_str @ sk__15 )
      | ~ ( subnetstr @ X0 @ sk__15 @ sk__16 )
      | ~ ( full_subnetstr @ X0 @ sk__15 @ sk__16 )
      | ~ ( element @ sk__18 @ ( the_carrier @ X0 ) )
      | ~ ( related @ sk__16 @ sk__18 @ X1 )
      | ~ ( in @ sk__18 @ ( the_carrier @ X0 ) )
      | ~ ( in @ X1 @ ( the_carrier @ X0 ) )
      | ( related @ X0 @ sk__18 @ X1 )
      | ~ ( element @ X1 @ ( the_carrier @ X0 ) )
      | ~ ( element @ X1 @ ( the_carrier @ sk__16 ) )
      | ~ ( subrelstr @ X0 @ sk__16 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl567]) ).

thf(zip_derived_cl54_005,plain,
    one_sorted_str @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl572,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subnetstr @ X0 @ sk__15 @ sk__16 )
      | ~ ( full_subnetstr @ X0 @ sk__15 @ sk__16 )
      | ~ ( element @ sk__18 @ ( the_carrier @ X0 ) )
      | ~ ( related @ sk__16 @ sk__18 @ X1 )
      | ~ ( in @ sk__18 @ ( the_carrier @ X0 ) )
      | ~ ( in @ X1 @ ( the_carrier @ X0 ) )
      | ( related @ X0 @ sk__18 @ X1 )
      | ~ ( element @ X1 @ ( the_carrier @ X0 ) )
      | ~ ( element @ X1 @ ( the_carrier @ sk__16 ) )
      | ~ ( subrelstr @ X0 @ sk__16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl571,zip_derived_cl54]) ).

thf(zip_derived_cl574,plain,
    ! [X0: $i] :
      ( ~ ( subnetstr @ sk__17 @ sk__15 @ sk__16 )
      | ~ ( full_subnetstr @ sk__17 @ sk__15 @ sk__16 )
      | ~ ( element @ sk__18 @ ( the_carrier @ sk__17 ) )
      | ~ ( related @ sk__16 @ sk__18 @ X0 )
      | ~ ( in @ sk__18 @ ( the_carrier @ sk__17 ) )
      | ~ ( in @ X0 @ ( the_carrier @ sk__17 ) )
      | ( related @ sk__17 @ sk__18 @ X0 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__17 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__16 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl406,zip_derived_cl572]) ).

thf(zip_derived_cl57_006,plain,
    subnetstr @ sk__17 @ sk__15 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56_007,plain,
    full_subnetstr @ sk__17 @ sk__15 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64,plain,
    element @ sk__20 @ ( the_carrier @ sk__17 ),
    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_cl343,plain,
    element @ sk__18 @ ( the_carrier @ sk__17 ),
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl63]) ).

thf(zip_derived_cl576,plain,
    ! [X0: $i] :
      ( ~ ( related @ sk__16 @ sk__18 @ X0 )
      | ~ ( in @ sk__18 @ ( the_carrier @ sk__17 ) )
      | ~ ( in @ X0 @ ( the_carrier @ sk__17 ) )
      | ( related @ sk__17 @ sk__18 @ X0 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__17 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__16 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl574,zip_derived_cl57,zip_derived_cl56,zip_derived_cl343]) ).

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_cl577,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__16 ) )
      | ( related @ sk__17 @ sk__18 @ X0 )
      | ~ ( in @ X0 @ ( the_carrier @ sk__17 ) )
      | ~ ( in @ sk__18 @ ( the_carrier @ sk__17 ) )
      | ~ ( related @ sk__16 @ sk__18 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl576,zip_derived_cl53]) ).

thf(zip_derived_cl578,plain,
    ! [X0: $i] :
      ( ~ ( element @ sk__18 @ ( the_carrier @ sk__17 ) )
      | ( empty @ ( the_carrier @ sk__17 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__16 ) )
      | ( related @ sk__17 @ sk__18 @ X0 )
      | ~ ( in @ X0 @ ( the_carrier @ sk__17 ) )
      | ~ ( related @ sk__16 @ sk__18 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl577]) ).

thf(zip_derived_cl343_008,plain,
    element @ sk__18 @ ( the_carrier @ sk__17 ),
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl63]) ).

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(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_cl57_009,plain,
    subnetstr @ sk__17 @ sk__15 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_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_cl344,plain,
    ( ~ ( one_sorted_str @ sk__15 )
    | ~ ( net_str @ sk__16 @ sk__15 )
    | ( net_str @ sk__17 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl17]) ).

thf(zip_derived_cl54_010,plain,
    one_sorted_str @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl66_011,plain,
    net_str @ sk__16 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl345,plain,
    net_str @ sk__17 @ sk__15,
    inference(demod,[status(thm)],[zip_derived_cl344,zip_derived_cl54,zip_derived_cl66]) ).

thf(zip_derived_cl14_012,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_cl348,plain,
    ( ( rel_str @ sk__17 )
    | ~ ( one_sorted_str @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl14]) ).

thf(zip_derived_cl54_013,plain,
    one_sorted_str @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl349,plain,
    rel_str @ sk__17,
    inference(demod,[status(thm)],[zip_derived_cl348,zip_derived_cl54]) ).

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(zip_derived_cl354,plain,
    one_sorted_str @ sk__17,
    inference('s_sup-',[status(thm)],[zip_derived_cl349,zip_derived_cl12]) ).

thf(zip_derived_cl355,plain,
    ~ ( empty @ ( the_carrier @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl354]) ).

thf(zip_derived_cl581,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__16 ) )
      | ( related @ sk__17 @ sk__18 @ X0 )
      | ~ ( in @ X0 @ ( the_carrier @ sk__17 ) )
      | ~ ( related @ sk__16 @ sk__18 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl343,zip_derived_cl355]) ).

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

thf(zip_derived_cl63_014,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_cl316,plain,
    ~ ( related @ sk__17 @ sk__18 @ sk__19 ),
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl63,zip_derived_cl61]) ).

thf(zip_derived_cl584,plain,
    ( ~ ( related @ sk__16 @ sk__18 @ sk__19 )
    | ~ ( in @ sk__19 @ ( the_carrier @ sk__17 ) )
    | ~ ( element @ sk__19 @ ( the_carrier @ sk__16 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl316]) ).

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_cl585,plain,
    ~ ( in @ sk__19 @ ( the_carrier @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl584,zip_derived_cl62,zip_derived_cl58]) ).

thf(zip_derived_cl586,plain,
    ( ~ ( element @ sk__19 @ ( the_carrier @ sk__17 ) )
    | ( empty @ ( the_carrier @ sk__17 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl585]) ).

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

thf(zip_derived_cl61_015,plain,
    sk__19 = sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl342,plain,
    element @ sk__19 @ ( the_carrier @ sk__17 ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl61]) ).

thf(zip_derived_cl355_016,plain,
    ~ ( empty @ ( the_carrier @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl354]) ).

thf(zip_derived_cl589,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl342,zip_derived_cl355]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU375+1 : 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.ckKO5gsRFs true
% 0.14/0.35  % Computer : n012.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 : Thu Aug 24 01:11:57 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.13/0.82  % Solved by fo/fo6_bce.sh.
% 1.13/0.82  % BCE start: 73
% 1.13/0.82  % BCE eliminated: 8
% 1.13/0.82  % PE start: 65
% 1.13/0.82  logic: eq
% 1.13/0.82  % PE eliminated: 2
% 1.13/0.82  % done 169 iterations in 0.090s
% 1.13/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.13/0.82  % SZS output start Refutation
% See solution above
% 1.13/0.82  
% 1.13/0.82  
% 1.13/0.82  % Terminating...
% 1.60/0.87  % Runner terminated.
% 1.60/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------