TSTP Solution File: SEU375+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU375+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Btx1RhAYXt true

% Computer : n007.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 148.33s 22.08s
% Output   : Refutation 148.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  114 (  37 unt;  23 typ;   0 def)
%            Number of atoms       :  277 (  17 equ;   0 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  904 ( 128   ~; 123   |;  19   &; 590   @)
%                                         (   6 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   28 (  28   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  23 usr;   8 con; 0-3 aty)
%            Number of variables   :   98 (   0   ^;  98   !;   0   ?;  98   :)

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

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

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

thf(sk__478_type,type,
    sk__478: $i ).

thf(sk__479_type,type,
    sk__479: $i ).

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

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

thf(subset_type,type,
    subset: $i > $i > $o ).

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

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

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

thf(sk__476_type,type,
    sk__476: $i ).

thf(sk__480_type,type,
    sk__480: $i ).

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

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

thf(sk__474_type,type,
    sk__474: $i ).

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

thf(sk__475_type,type,
    sk__475: $i ).

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

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

thf(sk__477_type,type,
    sk__477: $i ).

thf(the_InternalRel_type,type,
    the_InternalRel: $i > $i ).

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

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_cl2272,plain,
    full_subnetstr @ sk__476 @ sk__474 @ sk__475,
    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_cl683,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(zip_derived_cl13480,plain,
    ( ~ ( one_sorted_str @ sk__474 )
    | ~ ( subnetstr @ sk__476 @ sk__474 @ sk__475 )
    | ( full_subrelstr @ sk__476 @ sk__475 )
    | ~ ( net_str @ sk__475 @ sk__474 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2272,zip_derived_cl683]) ).

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_cl2507,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_cl13489,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( net_str @ sk__475 @ sk__474 )
      | ~ ( subnetstr @ sk__476 @ sk__474 @ sk__475 )
      | ~ ( one_sorted_str @ sk__474 )
      | ~ ( rel_str @ sk__475 )
      | ~ ( element @ X3 @ ( the_carrier @ sk__475 ) )
      | ~ ( element @ X2 @ ( the_carrier @ sk__476 ) )
      | ( X2 != X3 )
      | ~ ( related @ sk__475 @ X3 @ X0 )
      | ~ ( in @ X2 @ ( the_carrier @ sk__476 ) )
      | ( X1 != X0 )
      | ~ ( in @ X1 @ ( the_carrier @ sk__476 ) )
      | ( related @ sk__476 @ X2 @ X1 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__476 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__475 ) )
      | ~ ( subrelstr @ sk__476 @ sk__475 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl13480,zip_derived_cl2507]) ).

thf(zip_derived_cl2282,plain,
    net_str @ sk__475 @ sk__474,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2273,plain,
    subnetstr @ sk__476 @ sk__474 @ sk__475,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2270,plain,
    one_sorted_str @ sk__474,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2282_001,plain,
    net_str @ sk__475 @ sk__474,
    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_cl792,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_cl22644,plain,
    ( ( rel_str @ sk__475 )
    | ~ ( one_sorted_str @ sk__474 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2282,zip_derived_cl792]) ).

thf(zip_derived_cl2270_002,plain,
    one_sorted_str @ sk__474,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22645,plain,
    rel_str @ sk__475,
    inference(demod,[status(thm)],[zip_derived_cl22644,zip_derived_cl2270]) ).

thf(zip_derived_cl2272_003,plain,
    full_subnetstr @ sk__476 @ sk__474 @ sk__475,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl684,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_cl13481,plain,
    ( ~ ( one_sorted_str @ sk__474 )
    | ~ ( subnetstr @ sk__476 @ sk__474 @ sk__475 )
    | ( subrelstr @ sk__476 @ sk__475 )
    | ~ ( net_str @ sk__475 @ sk__474 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2272,zip_derived_cl684]) ).

thf(zip_derived_cl2270_004,plain,
    one_sorted_str @ sk__474,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2273_005,plain,
    subnetstr @ sk__476 @ sk__474 @ sk__475,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2282_006,plain,
    net_str @ sk__475 @ sk__474,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21964,plain,
    subrelstr @ sk__476 @ sk__475,
    inference(demod,[status(thm)],[zip_derived_cl13481,zip_derived_cl2270,zip_derived_cl2273,zip_derived_cl2282]) ).

thf(zip_derived_cl70786,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( element @ X3 @ ( the_carrier @ sk__475 ) )
      | ~ ( element @ X2 @ ( the_carrier @ sk__476 ) )
      | ( X2 != X3 )
      | ~ ( related @ sk__475 @ X3 @ X0 )
      | ~ ( in @ X2 @ ( the_carrier @ sk__476 ) )
      | ( X1 != X0 )
      | ~ ( in @ X1 @ ( the_carrier @ sk__476 ) )
      | ( related @ sk__476 @ X2 @ X1 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__476 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__475 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl13489,zip_derived_cl2282,zip_derived_cl2273,zip_derived_cl2270,zip_derived_cl22645,zip_derived_cl21964]) ).

thf(zip_derived_cl70787,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__475 ) )
      | ~ ( element @ X1 @ ( the_carrier @ sk__476 ) )
      | ( related @ sk__476 @ X2 @ X1 )
      | ~ ( in @ X1 @ ( the_carrier @ sk__476 ) )
      | ( X1 != X0 )
      | ~ ( in @ X2 @ ( the_carrier @ sk__476 ) )
      | ~ ( related @ sk__475 @ X2 @ X0 )
      | ~ ( element @ X2 @ ( the_carrier @ sk__476 ) )
      | ~ ( element @ X2 @ ( the_carrier @ sk__475 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl70786]) ).

thf(zip_derived_cl70897,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__475 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__476 ) )
      | ~ ( related @ sk__475 @ X0 @ X1 )
      | ~ ( in @ X0 @ ( the_carrier @ sk__476 ) )
      | ~ ( in @ X1 @ ( the_carrier @ sk__476 ) )
      | ( related @ sk__476 @ X0 @ X1 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__476 ) )
      | ~ ( element @ X1 @ ( the_carrier @ sk__475 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl70787]) ).

thf(zip_derived_cl21964_007,plain,
    subrelstr @ sk__476 @ sk__475,
    inference(demod,[status(thm)],[zip_derived_cl13481,zip_derived_cl2270,zip_derived_cl2273,zip_derived_cl2282]) ).

thf(d13_yellow_0,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i] :
          ( ( rel_str @ B )
         => ( ( subrelstr @ B @ A )
          <=> ( ( subset @ ( the_carrier @ B ) @ ( the_carrier @ A ) )
              & ( subset @ ( the_InternalRel @ B ) @ ( the_InternalRel @ A ) ) ) ) ) ) ).

thf(zip_derived_cl238,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rel_str @ X0 )
      | ~ ( subrelstr @ X0 @ X1 )
      | ( subset @ ( the_carrier @ X0 ) @ ( the_carrier @ X1 ) )
      | ~ ( rel_str @ X1 ) ),
    inference(cnf,[status(esa)],[d13_yellow_0]) ).

thf(zip_derived_cl21965,plain,
    ( ~ ( rel_str @ sk__476 )
    | ( subset @ ( the_carrier @ sk__476 ) @ ( the_carrier @ sk__475 ) )
    | ~ ( rel_str @ sk__475 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21964,zip_derived_cl238]) ).

thf(zip_derived_cl22645_008,plain,
    rel_str @ sk__475,
    inference(demod,[status(thm)],[zip_derived_cl22644,zip_derived_cl2270]) ).

thf(zip_derived_cl22646,plain,
    ( ~ ( rel_str @ sk__476 )
    | ( subset @ ( the_carrier @ sk__476 ) @ ( the_carrier @ sk__475 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl21965,zip_derived_cl22645]) ).

thf(zip_derived_cl21964_009,plain,
    subrelstr @ sk__476 @ sk__475,
    inference(demod,[status(thm)],[zip_derived_cl13481,zip_derived_cl2270,zip_derived_cl2273,zip_derived_cl2282]) ).

thf(dt_m1_yellow_0,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i] :
          ( ( subrelstr @ B @ A )
         => ( rel_str @ B ) ) ) ).

thf(zip_derived_cl799,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subrelstr @ X0 @ X1 )
      | ( rel_str @ X0 )
      | ~ ( rel_str @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m1_yellow_0]) ).

thf(zip_derived_cl26474,plain,
    ( ( rel_str @ sk__476 )
    | ~ ( rel_str @ sk__475 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21964,zip_derived_cl799]) ).

thf(zip_derived_cl22645_010,plain,
    rel_str @ sk__475,
    inference(demod,[status(thm)],[zip_derived_cl22644,zip_derived_cl2270]) ).

thf(zip_derived_cl26476,plain,
    rel_str @ sk__476,
    inference(demod,[status(thm)],[zip_derived_cl26474,zip_derived_cl22645]) ).

thf(zip_derived_cl26478,plain,
    subset @ ( the_carrier @ sk__476 ) @ ( the_carrier @ sk__475 ),
    inference(demod,[status(thm)],[zip_derived_cl22646,zip_derived_cl26476]) ).

thf(t3_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ ( powerset @ B ) )
    <=> ( subset @ A @ B ) ) ).

thf(zip_derived_cl2400,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ ( powerset @ X1 ) )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t3_subset]) ).

thf(zip_derived_cl31829,plain,
    element @ ( the_carrier @ sk__476 ) @ ( powerset @ ( the_carrier @ sk__475 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26478,zip_derived_cl2400]) ).

thf(t4_subset,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( in @ A @ B )
        & ( element @ B @ ( powerset @ C ) ) )
     => ( element @ A @ C ) ) ).

thf(zip_derived_cl2449,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( element @ X1 @ ( powerset @ X2 ) )
      | ( element @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[t4_subset]) ).

thf(zip_derived_cl44880,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ ( the_carrier @ sk__476 ) )
      | ( element @ X0 @ ( the_carrier @ sk__475 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl31829,zip_derived_cl2449]) ).

thf(zip_derived_cl70998,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X1 @ ( the_carrier @ sk__475 ) )
      | ~ ( element @ X1 @ ( the_carrier @ sk__476 ) )
      | ( related @ sk__476 @ X0 @ X1 )
      | ~ ( in @ X1 @ ( the_carrier @ sk__476 ) )
      | ~ ( in @ X0 @ ( the_carrier @ sk__476 ) )
      | ~ ( related @ sk__475 @ X0 @ X1 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__476 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl70897,zip_derived_cl44880]) ).

thf(zip_derived_cl44880_011,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ ( the_carrier @ sk__476 ) )
      | ( element @ X0 @ ( the_carrier @ sk__475 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl31829,zip_derived_cl2449]) ).

thf(zip_derived_cl70999,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__476 ) )
      | ~ ( related @ sk__475 @ X0 @ X1 )
      | ~ ( in @ X0 @ ( the_carrier @ sk__476 ) )
      | ~ ( in @ X1 @ ( the_carrier @ sk__476 ) )
      | ( related @ sk__476 @ X0 @ X1 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__476 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl70998,zip_derived_cl44880]) ).

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

thf(zip_derived_cl2242,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl71000,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X1 @ ( the_carrier @ sk__476 ) )
      | ( related @ sk__476 @ X0 @ X1 )
      | ~ ( in @ X1 @ ( the_carrier @ sk__476 ) )
      | ~ ( in @ X0 @ ( the_carrier @ sk__476 ) )
      | ~ ( related @ sk__475 @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl70999,zip_derived_cl2242]) ).

thf(zip_derived_cl2242_012,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl71001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( related @ sk__475 @ X0 @ X1 )
      | ~ ( in @ X0 @ ( the_carrier @ sk__476 ) )
      | ~ ( in @ X1 @ ( the_carrier @ sk__476 ) )
      | ( related @ sk__476 @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl71000,zip_derived_cl2242]) ).

thf(zip_derived_cl2276,plain,
    ~ ( related @ sk__476 @ sk__479 @ sk__480 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2279,plain,
    sk__477 = sk__479,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2277,plain,
    sk__478 = sk__480,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20793,plain,
    ~ ( related @ sk__476 @ sk__477 @ sk__478 ),
    inference(demod,[status(thm)],[zip_derived_cl2276,zip_derived_cl2279,zip_derived_cl2277]) ).

thf(zip_derived_cl71006,plain,
    ( ~ ( in @ sk__478 @ ( the_carrier @ sk__476 ) )
    | ~ ( in @ sk__477 @ ( the_carrier @ sk__476 ) )
    | ~ ( related @ sk__475 @ sk__477 @ sk__478 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl71001,zip_derived_cl20793]) ).

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

thf(zip_derived_cl789,plain,
    ! [X0: $i] :
      ( ( one_sorted_str @ X0 )
      | ~ ( rel_str @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l1_orders_2]) ).

thf(zip_derived_cl2275,plain,
    element @ sk__480 @ ( the_carrier @ sk__476 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2277_013,plain,
    sk__478 = sk__480,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20945,plain,
    element @ sk__478 @ ( the_carrier @ sk__476 ),
    inference(demod,[status(thm)],[zip_derived_cl2275,zip_derived_cl2277]) ).

thf(d2_subset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( empty @ A )
       => ( ( element @ B @ A )
        <=> ( empty @ B ) ) )
      & ( ~ ( empty @ A )
       => ( ( element @ B @ A )
        <=> ( in @ B @ A ) ) ) ) ).

thf(zip_derived_cl407,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ( in @ X0 @ X1 )
      | ( empty @ X1 ) ),
    inference(cnf,[status(esa)],[d2_subset_1]) ).

thf(zip_derived_cl23449,plain,
    ( ( in @ sk__478 @ ( the_carrier @ sk__476 ) )
    | ( empty @ ( the_carrier @ sk__476 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20945,zip_derived_cl407]) ).

thf(d1_struct_0,axiom,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ( ( empty_carrier @ A )
      <=> ( empty @ ( the_carrier @ A ) ) ) ) ).

thf(zip_derived_cl341,plain,
    ! [X0: $i] :
      ( ~ ( empty @ ( the_carrier @ X0 ) )
      | ( empty_carrier @ X0 )
      | ~ ( one_sorted_str @ X0 ) ),
    inference(cnf,[status(esa)],[d1_struct_0]) ).

thf(zip_derived_cl25113,plain,
    ( ( in @ sk__478 @ ( the_carrier @ sk__476 ) )
    | ( empty_carrier @ sk__476 )
    | ~ ( one_sorted_str @ sk__476 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23449,zip_derived_cl341]) ).

thf(zip_derived_cl2271,plain,
    ~ ( empty_carrier @ sk__476 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25127,plain,
    ( ( in @ sk__478 @ ( the_carrier @ sk__476 ) )
    | ~ ( one_sorted_str @ sk__476 ) ),
    inference(demod,[status(thm)],[zip_derived_cl25113,zip_derived_cl2271]) ).

thf(zip_derived_cl25358,plain,
    ( ~ ( rel_str @ sk__476 )
    | ( in @ sk__478 @ ( the_carrier @ sk__476 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl789,zip_derived_cl25127]) ).

thf(zip_derived_cl26476_014,plain,
    rel_str @ sk__476,
    inference(demod,[status(thm)],[zip_derived_cl26474,zip_derived_cl22645]) ).

thf(zip_derived_cl26480,plain,
    in @ sk__478 @ ( the_carrier @ sk__476 ),
    inference(demod,[status(thm)],[zip_derived_cl25358,zip_derived_cl26476]) ).

thf(zip_derived_cl789_015,plain,
    ! [X0: $i] :
      ( ( one_sorted_str @ X0 )
      | ~ ( rel_str @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l1_orders_2]) ).

thf(zip_derived_cl2280,plain,
    element @ sk__479 @ ( the_carrier @ sk__476 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2279_016,plain,
    sk__477 = sk__479,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20950,plain,
    element @ sk__477 @ ( the_carrier @ sk__476 ),
    inference(demod,[status(thm)],[zip_derived_cl2280,zip_derived_cl2279]) ).

thf(zip_derived_cl407_017,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ( in @ X0 @ X1 )
      | ( empty @ X1 ) ),
    inference(cnf,[status(esa)],[d2_subset_1]) ).

thf(zip_derived_cl23447,plain,
    ( ( in @ sk__477 @ ( the_carrier @ sk__476 ) )
    | ( empty @ ( the_carrier @ sk__476 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20950,zip_derived_cl407]) ).

thf(zip_derived_cl341_018,plain,
    ! [X0: $i] :
      ( ~ ( empty @ ( the_carrier @ X0 ) )
      | ( empty_carrier @ X0 )
      | ~ ( one_sorted_str @ X0 ) ),
    inference(cnf,[status(esa)],[d1_struct_0]) ).

thf(zip_derived_cl23919,plain,
    ( ( in @ sk__477 @ ( the_carrier @ sk__476 ) )
    | ( empty_carrier @ sk__476 )
    | ~ ( one_sorted_str @ sk__476 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23447,zip_derived_cl341]) ).

thf(zip_derived_cl2271_019,plain,
    ~ ( empty_carrier @ sk__476 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23933,plain,
    ( ( in @ sk__477 @ ( the_carrier @ sk__476 ) )
    | ~ ( one_sorted_str @ sk__476 ) ),
    inference(demod,[status(thm)],[zip_derived_cl23919,zip_derived_cl2271]) ).

thf(zip_derived_cl23969,plain,
    ( ~ ( rel_str @ sk__476 )
    | ( in @ sk__477 @ ( the_carrier @ sk__476 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl789,zip_derived_cl23933]) ).

thf(zip_derived_cl26476_020,plain,
    rel_str @ sk__476,
    inference(demod,[status(thm)],[zip_derived_cl26474,zip_derived_cl22645]) ).

thf(zip_derived_cl26479,plain,
    in @ sk__477 @ ( the_carrier @ sk__476 ),
    inference(demod,[status(thm)],[zip_derived_cl23969,zip_derived_cl26476]) ).

thf(zip_derived_cl2278,plain,
    related @ sk__475 @ sk__477 @ sk__478,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl71009,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl71006,zip_derived_cl26480,zip_derived_cl26479,zip_derived_cl2278]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SEU375+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Btx1RhAYXt true
% 0.15/0.37  % Computer : n007.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Wed Aug 23 17:31:54 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.38  % Python version: Python 3.6.8
% 0.15/0.38  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.69  % Estimated wc time : 1092
% 0.22/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 148.33/22.08  % Solved by fo/fo6_bce.sh.
% 148.33/22.08  % BCE start: 2580
% 148.33/22.08  % BCE eliminated: 26
% 148.33/22.08  % PE start: 2554
% 148.33/22.08  logic: eq
% 148.33/22.08  % PE eliminated: 205
% 148.33/22.08  % done 5328 iterations in 21.317s
% 148.33/22.08  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 148.33/22.08  % SZS output start Refutation
% See solution above
% 148.33/22.08  
% 148.33/22.08  
% 148.69/22.09  % Terminating...
% 148.69/22.17  % Runner terminated.
% 148.69/22.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------