TSTP Solution File: SEU383+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU383+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.PNLjqKebxe true

% Computer : n002.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 19:12:33 EDT 2023

% Result   : Theorem 39.33s 6.26s
% Output   : Refutation 39.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  109 (  27 unt;  23 typ;   0 def)
%            Number of atoms       :  223 (  36 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  706 (  74   ~;  89   |;  22   &; 495   @)
%                                         (   6 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  23 usr;   4 con; 0-3 aty)
%            Number of variables   :   74 (   0   ^;  74   !;   0   ?;  74   :)

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

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

thf(empty_set_type,type,
    empty_set: $i ).

thf(filtered_subset_type,type,
    filtered_subset: $i > $i > $o ).

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

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

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

thf(upper_relstr_subset_type,type,
    upper_relstr_subset: $i > $i > $o ).

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

thf(join_on_relstr_type,type,
    join_on_relstr: $i > $i > $i ).

thf(proper_element_type,type,
    proper_element: $i > $i > $o ).

thf(bottom_of_relstr_type,type,
    bottom_of_relstr: $i > $i ).

thf(lower_bounded_relstr_type,type,
    lower_bounded_relstr: $i > $o ).

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

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

thf(reflexive_relstr_type,type,
    reflexive_relstr: $i > $o ).

thf(antisymmetric_relstr_type,type,
    antisymmetric_relstr: $i > $o ).

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

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

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

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

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

thf(sk__16_type,type,
    sk__16: $i ).

thf(t8_waybel_7,conjecture,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( reflexive_relstr @ A )
        & ( transitive_relstr @ A )
        & ( antisymmetric_relstr @ A )
        & ( lower_bounded_relstr @ A )
        & ( rel_str @ A ) )
     => ! [B: $i] :
          ( ( ~ ( empty @ B )
            & ( filtered_subset @ B @ A )
            & ( upper_relstr_subset @ B @ A )
            & ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
         => ( ( proper_element @ B @ ( powerset @ ( the_carrier @ A ) ) )
          <=> ~ ( in @ ( bottom_of_relstr @ A ) @ B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( empty_carrier @ A )
          & ( reflexive_relstr @ A )
          & ( transitive_relstr @ A )
          & ( antisymmetric_relstr @ A )
          & ( lower_bounded_relstr @ A )
          & ( rel_str @ A ) )
       => ! [B: $i] :
            ( ( ~ ( empty @ B )
              & ( filtered_subset @ B @ A )
              & ( upper_relstr_subset @ B @ A )
              & ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
           => ( ( proper_element @ B @ ( powerset @ ( the_carrier @ A ) ) )
            <=> ~ ( in @ ( bottom_of_relstr @ A ) @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t8_waybel_7]) ).

thf(zip_derived_cl71,plain,
    ( ~ ( in @ ( bottom_of_relstr @ sk__16 ) @ sk__17 )
    | ( proper_element @ sk__17 @ ( powerset @ ( the_carrier @ sk__16 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t2_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ! [C: $i] :
          ( ( in @ C @ A )
        <=> ( in @ C @ B ) )
     => ( A = B ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( in @ ( sk__15 @ X0 @ X1 ) @ X0 )
      | ( in @ ( sk__15 @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[t2_tarski]) ).

thf(zip_derived_cl73,plain,
    element @ sk__17 @ ( powerset @ ( the_carrier @ sk__16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl58,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_cl414,plain,
    ! [X0: $i] :
      ( ( element @ X0 @ ( the_carrier @ sk__16 ) )
      | ~ ( in @ X0 @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl58]) ).

thf(zip_derived_cl1211,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__15 @ sk__17 @ X0 ) @ X0 )
      | ( X0 = sk__17 )
      | ( element @ ( sk__15 @ sk__17 @ X0 ) @ ( the_carrier @ sk__16 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl414]) ).

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

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl8707,plain,
    ! [X0: $i] :
      ( ( element @ ( sk__15 @ sk__17 @ X0 ) @ ( the_carrier @ sk__16 ) )
      | ( X0 = sk__17 )
      | ( element @ ( sk__15 @ sk__17 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1211,zip_derived_cl51]) ).

thf(zip_derived_cl46190,plain,
    ( ( element @ ( sk__15 @ sk__17 @ ( the_carrier @ sk__16 ) ) @ ( the_carrier @ sk__16 ) )
    | ( ( the_carrier @ sk__16 )
      = sk__17 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl8707]) ).

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

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t2_subset]) ).

thf(zip_derived_cl46198,plain,
    ( ( ( the_carrier @ sk__16 )
      = sk__17 )
    | ( empty @ ( the_carrier @ sk__16 ) )
    | ( in @ ( sk__15 @ sk__17 @ ( the_carrier @ sk__16 ) ) @ ( the_carrier @ sk__16 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46190,zip_derived_cl52]) ).

thf(zip_derived_cl46190_001,plain,
    ( ( element @ ( sk__15 @ sk__17 @ ( the_carrier @ sk__16 ) ) @ ( the_carrier @ sk__16 ) )
    | ( ( the_carrier @ sk__16 )
      = sk__17 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl8707]) ).

thf(t44_yellow_0,axiom,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( antisymmetric_relstr @ A )
        & ( lower_bounded_relstr @ A )
        & ( rel_str @ A ) )
     => ! [B: $i] :
          ( ( element @ B @ ( the_carrier @ A ) )
         => ( related @ A @ ( bottom_of_relstr @ A ) @ B ) ) ) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
      | ( related @ X1 @ ( bottom_of_relstr @ X1 ) @ X0 )
      | ~ ( rel_str @ X1 )
      | ~ ( lower_bounded_relstr @ X1 )
      | ~ ( antisymmetric_relstr @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[t44_yellow_0]) ).

thf(zip_derived_cl46199,plain,
    ( ( ( the_carrier @ sk__16 )
      = sk__17 )
    | ( empty_carrier @ sk__16 )
    | ~ ( antisymmetric_relstr @ sk__16 )
    | ~ ( lower_bounded_relstr @ sk__16 )
    | ~ ( rel_str @ sk__16 )
    | ( related @ sk__16 @ ( bottom_of_relstr @ sk__16 ) @ ( sk__15 @ sk__17 @ ( the_carrier @ sk__16 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46190,zip_derived_cl57]) ).

thf(zip_derived_cl65,plain,
    ~ ( empty_carrier @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68,plain,
    antisymmetric_relstr @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69,plain,
    lower_bounded_relstr @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl70,plain,
    rel_str @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46223,plain,
    ( ( ( the_carrier @ sk__16 )
      = sk__17 )
    | ( related @ sk__16 @ ( bottom_of_relstr @ sk__16 ) @ ( sk__15 @ sk__17 @ ( the_carrier @ sk__16 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl46199,zip_derived_cl65,zip_derived_cl68,zip_derived_cl69,zip_derived_cl70]) ).

thf(zip_derived_cl46190_002,plain,
    ( ( element @ ( sk__15 @ sk__17 @ ( the_carrier @ sk__16 ) ) @ ( the_carrier @ sk__16 ) )
    | ( ( the_carrier @ sk__16 )
      = sk__17 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl8707]) ).

thf(zip_derived_cl73_003,plain,
    element @ sk__17 @ ( powerset @ ( the_carrier @ sk__16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d20_waybel_0,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
         => ( ( upper_relstr_subset @ B @ A )
          <=> ! [C: $i] :
                ( ( element @ C @ ( the_carrier @ A ) )
               => ! [D: $i] :
                    ( ( element @ D @ ( the_carrier @ A ) )
                   => ( ( ( in @ C @ B )
                        & ( related @ A @ C @ D ) )
                     => ( in @ D @ B ) ) ) ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
      | ~ ( upper_relstr_subset @ X0 @ X1 )
      | ~ ( element @ X2 @ ( the_carrier @ X1 ) )
      | ( in @ X2 @ X0 )
      | ~ ( related @ X1 @ X3 @ X2 )
      | ~ ( in @ X3 @ X0 )
      | ~ ( element @ X3 @ ( the_carrier @ X1 ) )
      | ~ ( rel_str @ X1 ) ),
    inference(cnf,[status(esa)],[d20_waybel_0]) ).

thf(zip_derived_cl127,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rel_str @ sk__16 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__16 ) )
      | ~ ( in @ X0 @ sk__17 )
      | ~ ( related @ sk__16 @ X0 @ X1 )
      | ( in @ X1 @ sk__17 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__16 ) )
      | ~ ( upper_relstr_subset @ sk__17 @ sk__16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl8]) ).

thf(zip_derived_cl70_004,plain,
    rel_str @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74,plain,
    upper_relstr_subset @ sk__17 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__16 ) )
      | ~ ( in @ X0 @ sk__17 )
      | ~ ( related @ sk__16 @ X0 @ X1 )
      | ( in @ X1 @ sk__17 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__16 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl70,zip_derived_cl74]) ).

thf(zip_derived_cl414_005,plain,
    ! [X0: $i] :
      ( ( element @ X0 @ ( the_carrier @ sk__16 ) )
      | ~ ( in @ X0 @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl58]) ).

thf(zip_derived_cl1482,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X1 @ ( the_carrier @ sk__16 ) )
      | ( in @ X1 @ sk__17 )
      | ~ ( related @ sk__16 @ X0 @ X1 )
      | ~ ( in @ X0 @ sk__17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl128,zip_derived_cl414]) ).

thf(zip_derived_cl46201,plain,
    ! [X0: $i] :
      ( ( ( the_carrier @ sk__16 )
        = sk__17 )
      | ~ ( in @ X0 @ sk__17 )
      | ~ ( related @ sk__16 @ X0 @ ( sk__15 @ sk__17 @ ( the_carrier @ sk__16 ) ) )
      | ( in @ ( sk__15 @ sk__17 @ ( the_carrier @ sk__16 ) ) @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46190,zip_derived_cl1482]) ).

thf(zip_derived_cl46616,plain,
    ( ( ( the_carrier @ sk__16 )
      = sk__17 )
    | ( in @ ( sk__15 @ sk__17 @ ( the_carrier @ sk__16 ) ) @ sk__17 )
    | ~ ( in @ ( bottom_of_relstr @ sk__16 ) @ sk__17 )
    | ( ( the_carrier @ sk__16 )
      = sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46223,zip_derived_cl46201]) ).

thf(zip_derived_cl46633,plain,
    ( ~ ( in @ ( bottom_of_relstr @ sk__16 ) @ sk__17 )
    | ( in @ ( sk__15 @ sk__17 @ ( the_carrier @ sk__16 ) ) @ sk__17 )
    | ( ( the_carrier @ sk__16 )
      = sk__17 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl46616]) ).

thf(zip_derived_cl73_006,plain,
    element @ sk__17 @ ( powerset @ ( the_carrier @ sk__16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t5_tex_2,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ B @ ( powerset @ A ) )
     => ( ( proper_element @ B @ ( powerset @ A ) )
      <=> ( B != A ) ) ) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( proper_element @ X1 @ ( powerset @ X0 ) )
      | ~ ( element @ X1 @ ( powerset @ X0 ) ) ),
    inference(cnf,[status(esa)],[t5_tex_2]) ).

thf(zip_derived_cl753,plain,
    ( ( proper_element @ sk__17 @ ( powerset @ ( the_carrier @ sk__16 ) ) )
    | ( sk__17
      = ( the_carrier @ sk__16 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl60]) ).

thf(zip_derived_cl72,plain,
    ( ( in @ ( bottom_of_relstr @ sk__16 ) @ sk__17 )
    | ~ ( proper_element @ sk__17 @ ( powerset @ ( the_carrier @ sk__16 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl757,plain,
    ( ( sk__17
      = ( the_carrier @ sk__16 ) )
    | ( in @ ( bottom_of_relstr @ sk__16 ) @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl753,zip_derived_cl72]) ).

thf(zip_derived_cl46636,plain,
    ( ( ( the_carrier @ sk__16 )
      = sk__17 )
    | ( in @ ( sk__15 @ sk__17 @ ( the_carrier @ sk__16 ) ) @ sk__17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl46633,zip_derived_cl757]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( in @ ( sk__15 @ X0 @ X1 ) @ X0 )
      | ~ ( in @ ( sk__15 @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[t2_tarski]) ).

thf(zip_derived_cl46641,plain,
    ( ( ( the_carrier @ sk__16 )
      = sk__17 )
    | ~ ( in @ ( sk__15 @ sk__17 @ ( the_carrier @ sk__16 ) ) @ ( the_carrier @ sk__16 ) )
    | ( ( the_carrier @ sk__16 )
      = sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46636,zip_derived_cl53]) ).

thf(zip_derived_cl46663,plain,
    ( ~ ( in @ ( sk__15 @ sk__17 @ ( the_carrier @ sk__16 ) ) @ ( the_carrier @ sk__16 ) )
    | ( ( the_carrier @ sk__16 )
      = sk__17 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl46641]) ).

thf(zip_derived_cl46930,plain,
    ( ( empty @ ( the_carrier @ sk__16 ) )
    | ( ( the_carrier @ sk__16 )
      = sk__17 )
    | ( ( the_carrier @ sk__16 )
      = sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46198,zip_derived_cl46663]) ).

thf(zip_derived_cl46954,plain,
    ( ( ( the_carrier @ sk__16 )
      = sk__17 )
    | ( empty @ ( the_carrier @ sk__16 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl46930]) ).

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

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ~ ( empty @ ( the_carrier @ X0 ) )
      | ~ ( one_sorted_str @ X0 )
      | ( empty_carrier @ X0 ) ),
    inference(cnf,[status(esa)],[fc1_struct_0]) ).

thf(zip_derived_cl46967,plain,
    ( ( ( the_carrier @ sk__16 )
      = sk__17 )
    | ( empty_carrier @ sk__16 )
    | ~ ( one_sorted_str @ sk__16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46954,zip_derived_cl25]) ).

thf(zip_derived_cl65_007,plain,
    ~ ( empty_carrier @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( one_sorted_str @ X0 )
      | ~ ( rel_str @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l1_orders_2]) ).

thf(zip_derived_cl70_008,plain,
    rel_str @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl85,plain,
    one_sorted_str @ sk__16,
    inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl70]) ).

thf(zip_derived_cl47008,plain,
    ( ( the_carrier @ sk__16 )
    = sk__17 ),
    inference(demod,[status(thm)],[zip_derived_cl46967,zip_derived_cl65,zip_derived_cl85]) ).

thf(zip_derived_cl47016,plain,
    ( ~ ( in @ ( bottom_of_relstr @ sk__16 ) @ sk__17 )
    | ( proper_element @ sk__17 @ ( powerset @ sk__17 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl47008]) ).

thf(d11_yellow_0,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ( ( bottom_of_relstr @ A )
        = ( join_on_relstr @ A @ empty_set ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( ( bottom_of_relstr @ X0 )
        = ( join_on_relstr @ X0 @ empty_set ) )
      | ~ ( rel_str @ X0 ) ),
    inference(cnf,[status(esa)],[d11_yellow_0]) ).

thf(zip_derived_cl70_009,plain,
    rel_str @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122,plain,
    ( ( bottom_of_relstr @ sk__16 )
    = ( join_on_relstr @ sk__16 @ empty_set ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl70]) ).

thf(dt_k1_yellow_0,axiom,
    ! [A: $i,B: $i] :
      ( ( rel_str @ A )
     => ( element @ ( join_on_relstr @ A @ B ) @ ( the_carrier @ A ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rel_str @ X0 )
      | ( element @ ( join_on_relstr @ X0 @ X1 ) @ ( the_carrier @ X0 ) ) ),
    inference(cnf,[status(esa)],[dt_k1_yellow_0]) ).

thf(zip_derived_cl674,plain,
    ( ( element @ ( bottom_of_relstr @ sk__16 ) @ ( the_carrier @ sk__16 ) )
    | ~ ( rel_str @ sk__16 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl15]) ).

thf(zip_derived_cl70_010,plain,
    rel_str @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl676,plain,
    element @ ( bottom_of_relstr @ sk__16 ) @ ( the_carrier @ sk__16 ),
    inference(demod,[status(thm)],[zip_derived_cl674,zip_derived_cl70]) ).

thf(zip_derived_cl52_011,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t2_subset]) ).

thf(zip_derived_cl716,plain,
    ( ( empty @ ( the_carrier @ sk__16 ) )
    | ( in @ ( bottom_of_relstr @ sk__16 ) @ ( the_carrier @ sk__16 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl52]) ).

thf(zip_derived_cl47008_012,plain,
    ( ( the_carrier @ sk__16 )
    = sk__17 ),
    inference(demod,[status(thm)],[zip_derived_cl46967,zip_derived_cl65,zip_derived_cl85]) ).

thf(zip_derived_cl76,plain,
    ~ ( empty @ sk__17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47008_013,plain,
    ( ( the_carrier @ sk__16 )
    = sk__17 ),
    inference(demod,[status(thm)],[zip_derived_cl46967,zip_derived_cl65,zip_derived_cl85]) ).

thf(zip_derived_cl47039,plain,
    in @ ( bottom_of_relstr @ sk__16 ) @ sk__17,
    inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl47008,zip_derived_cl76,zip_derived_cl47008]) ).

thf(zip_derived_cl49171,plain,
    proper_element @ sk__17 @ ( powerset @ sk__17 ),
    inference(demod,[status(thm)],[zip_derived_cl47016,zip_derived_cl47039]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( proper_element @ X0 @ ( powerset @ X1 ) )
      | ( X0 != X1 )
      | ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
    inference(cnf,[status(esa)],[t5_tex_2]) ).

thf(zip_derived_cl49172,plain,
    ( ~ ( element @ sk__17 @ ( powerset @ sk__17 ) )
    | ( sk__17 != sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49171,zip_derived_cl61]) ).

thf(reflexivity_r1_tarski,axiom,
    ! [A: $i,B: $i] : ( subset @ A @ A ) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).

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

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ ( powerset @ X1 ) )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t3_subset]) ).

thf(zip_derived_cl294,plain,
    ! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl56]) ).

thf(zip_derived_cl49185,plain,
    sk__17 != sk__17,
    inference(demod,[status(thm)],[zip_derived_cl49172,zip_derived_cl294]) ).

thf(zip_derived_cl49186,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl49185]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SEU383+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PNLjqKebxe true
% 0.16/0.36  % Computer : n002.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Wed Aug 23 22:11:46 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.16/0.36  % Running portfolio for 300 s
% 0.16/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37  % Number of cores: 8
% 0.16/0.37  % Python version: Python 3.6.8
% 0.16/0.37  % Running in FO mode
% 0.23/0.66  % Total configuration time : 435
% 0.23/0.66  % Estimated wc time : 1092
% 0.23/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 39.33/6.26  % Solved by fo/fo5.sh.
% 39.33/6.26  % done 4000 iterations in 5.457s
% 39.33/6.26  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 39.33/6.26  % SZS output start Refutation
% See solution above
% 39.33/6.26  
% 39.33/6.26  
% 39.33/6.26  % Terminating...
% 39.82/6.39  % Runner terminated.
% 39.86/6.40  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------