TSTP Solution File: SEU243+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU243+2 : 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.culei4bqyB 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 19:11:33 EDT 2023

% Result   : Theorem 0.21s 0.83s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   80 (  19 unt;  14 typ;   0 def)
%            Number of atoms       :  182 (  34 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  627 (  62   ~; 102   |;   6   &; 449   @)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   3 con; 0-2 aty)
%            Number of variables   :   38 (   0   ^;  38   !;   0   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
thf(empty_set_type,type,
    empty_set: $i ).

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

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

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

thf(is_well_founded_in_type,type,
    is_well_founded_in: $i > $i > $o ).

thf(sk__4_type,type,
    sk__4: $i ).

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

thf(fiber_type,type,
    fiber: $i > $i > $i ).

thf(well_founded_relation_type,type,
    well_founded_relation: $i > $o ).

thf(relation_field_type,type,
    relation_field: $i > $i ).

thf(sk__type,type,
    sk_: $i > $i ).

thf(sk__3_type,type,
    sk__3: $i > $i > $i ).

thf(relation_type,type,
    relation: $i > $o ).

thf(disjoint_type,type,
    disjoint: $i > $i > $o ).

thf(t5_wellord1,conjecture,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( well_founded_relation @ A )
      <=> ( is_well_founded_in @ A @ ( relation_field @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( relation @ A )
       => ( ( well_founded_relation @ A )
        <=> ( is_well_founded_in @ A @ ( relation_field @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t5_wellord1]) ).

thf(zip_derived_cl14,plain,
    ( ~ ( is_well_founded_in @ sk__4 @ ( relation_field @ sk__4 ) )
    | ~ ( well_founded_relation @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d2_wellord1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( well_founded_relation @ A )
      <=> ! [B: $i] :
            ~ ( ( subset @ B @ ( relation_field @ A ) )
              & ( B != empty_set )
              & ! [C: $i] :
                  ~ ( ( in @ C @ B )
                    & ( disjoint @ ( fiber @ A @ C ) @ B ) ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( subset @ ( sk_ @ X0 ) @ ( relation_field @ X0 ) )
      | ( well_founded_relation @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d2_wellord1]) ).

thf(zip_derived_cl16,plain,
    ( ( well_founded_relation @ sk__4 )
    | ( subset @ ( sk_ @ sk__4 ) @ ( relation_field @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl15,plain,
    ( ( is_well_founded_in @ sk__4 @ ( relation_field @ sk__4 ) )
    | ( well_founded_relation @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d3_wellord1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( is_well_founded_in @ A @ B )
        <=> ! [C: $i] :
              ~ ( ( subset @ C @ B )
                & ( C != empty_set )
                & ! [D: $i] :
                    ~ ( ( in @ D @ C )
                      & ( disjoint @ ( fiber @ A @ D ) @ C ) ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_well_founded_in @ X0 @ X1 )
      | ~ ( subset @ X2 @ X1 )
      | ( X2 = empty_set )
      | ( disjoint @ ( fiber @ X0 @ ( sk__3 @ X2 @ X0 ) ) @ X2 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d3_wellord1]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( well_founded_relation @ sk__4 )
      | ~ ( relation @ sk__4 )
      | ( disjoint @ ( fiber @ sk__4 @ ( sk__3 @ X0 @ sk__4 ) ) @ X0 )
      | ( X0 = empty_set )
      | ~ ( subset @ X0 @ ( relation_field @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl8]) ).

thf(zip_derived_cl13_001,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ( well_founded_relation @ sk__4 )
      | ( disjoint @ ( fiber @ sk__4 @ ( sk__3 @ X0 @ sk__4 ) ) @ X0 )
      | ( X0 = empty_set )
      | ~ ( subset @ X0 @ ( relation_field @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl13]) ).

thf(zip_derived_cl33,plain,
    ( ( well_founded_relation @ sk__4 )
    | ( ( sk_ @ sk__4 )
      = empty_set )
    | ( disjoint @ ( fiber @ sk__4 @ ( sk__3 @ ( sk_ @ sk__4 ) @ sk__4 ) ) @ ( sk_ @ sk__4 ) )
    | ( well_founded_relation @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl32]) ).

thf(zip_derived_cl35,plain,
    ( ( disjoint @ ( fiber @ sk__4 @ ( sk__3 @ ( sk_ @ sk__4 ) @ sk__4 ) ) @ ( sk_ @ sk__4 ) )
    | ( ( sk_ @ sk__4 )
      = empty_set )
    | ( well_founded_relation @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( disjoint @ ( fiber @ X0 @ X1 ) @ ( sk_ @ X0 ) )
      | ~ ( in @ X1 @ ( sk_ @ X0 ) )
      | ( well_founded_relation @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d2_wellord1]) ).

thf(zip_derived_cl38,plain,
    ( ( well_founded_relation @ sk__4 )
    | ( ( sk_ @ sk__4 )
      = empty_set )
    | ~ ( relation @ sk__4 )
    | ( well_founded_relation @ sk__4 )
    | ~ ( in @ ( sk__3 @ ( sk_ @ sk__4 ) @ sk__4 ) @ ( sk_ @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl0]) ).

thf(zip_derived_cl13_002,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    ( ( well_founded_relation @ sk__4 )
    | ( ( sk_ @ sk__4 )
      = empty_set )
    | ( well_founded_relation @ sk__4 )
    | ~ ( in @ ( sk__3 @ ( sk_ @ sk__4 ) @ sk__4 ) @ ( sk_ @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl13]) ).

thf(zip_derived_cl40,plain,
    ( ~ ( in @ ( sk__3 @ ( sk_ @ sk__4 ) @ sk__4 ) @ ( sk_ @ sk__4 ) )
    | ( ( sk_ @ sk__4 )
      = empty_set )
    | ( well_founded_relation @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl16_003,plain,
    ( ( well_founded_relation @ sk__4 )
    | ( subset @ ( sk_ @ sk__4 ) @ ( relation_field @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl15_004,plain,
    ( ( is_well_founded_in @ sk__4 @ ( relation_field @ sk__4 ) )
    | ( well_founded_relation @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_well_founded_in @ X0 @ X1 )
      | ~ ( subset @ X2 @ X1 )
      | ( X2 = empty_set )
      | ( in @ ( sk__3 @ X2 @ X0 ) @ X2 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d3_wellord1]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( well_founded_relation @ sk__4 )
      | ~ ( relation @ sk__4 )
      | ( in @ ( sk__3 @ X0 @ sk__4 ) @ X0 )
      | ( X0 = empty_set )
      | ~ ( subset @ X0 @ ( relation_field @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl9]) ).

thf(zip_derived_cl13_005,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( well_founded_relation @ sk__4 )
      | ( in @ ( sk__3 @ X0 @ sk__4 ) @ X0 )
      | ( X0 = empty_set )
      | ~ ( subset @ X0 @ ( relation_field @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl13]) ).

thf(zip_derived_cl26,plain,
    ( ( well_founded_relation @ sk__4 )
    | ( ( sk_ @ sk__4 )
      = empty_set )
    | ( in @ ( sk__3 @ ( sk_ @ sk__4 ) @ sk__4 ) @ ( sk_ @ sk__4 ) )
    | ( well_founded_relation @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl25]) ).

thf(zip_derived_cl28,plain,
    ( ( in @ ( sk__3 @ ( sk_ @ sk__4 ) @ sk__4 ) @ ( sk_ @ sk__4 ) )
    | ( ( sk_ @ sk__4 )
      = empty_set )
    | ( well_founded_relation @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl41,plain,
    ( ( well_founded_relation @ sk__4 )
    | ( ( sk_ @ sk__4 )
      = empty_set ) ),
    inference(clc,[status(thm)],[zip_derived_cl40,zip_derived_cl28]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( ( sk_ @ X0 )
       != empty_set )
      | ( well_founded_relation @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d2_wellord1]) ).

thf(zip_derived_cl43,plain,
    ( ( empty_set != empty_set )
    | ( well_founded_relation @ sk__4 )
    | ~ ( relation @ sk__4 )
    | ( well_founded_relation @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl1]) ).

thf(zip_derived_cl13_006,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    ( ( empty_set != empty_set )
    | ( well_founded_relation @ sk__4 )
    | ( well_founded_relation @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl13]) ).

thf(zip_derived_cl48,plain,
    well_founded_relation @ sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl50,plain,
    ~ ( is_well_founded_in @ sk__4 @ ( relation_field @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl48]) ).

thf(zip_derived_cl13_007,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13_008,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( sk__2 @ X0 @ X1 ) @ X0 )
      | ( is_well_founded_in @ X1 @ X0 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d3_wellord1]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( is_well_founded_in @ sk__4 @ X0 )
      | ( subset @ ( sk__2 @ X0 @ sk__4 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl7]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( well_founded_relation @ X0 )
      | ~ ( subset @ X1 @ ( relation_field @ X0 ) )
      | ( X1 = empty_set )
      | ( disjoint @ ( fiber @ X0 @ ( sk__1 @ X1 @ X0 ) ) @ X1 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d2_wellord1]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( is_well_founded_in @ sk__4 @ ( relation_field @ X0 ) )
      | ~ ( relation @ X0 )
      | ( disjoint @ ( fiber @ X0 @ ( sk__1 @ ( sk__2 @ ( relation_field @ X0 ) @ sk__4 ) @ X0 ) ) @ ( sk__2 @ ( relation_field @ X0 ) @ sk__4 ) )
      | ( ( sk__2 @ ( relation_field @ X0 ) @ sk__4 )
        = empty_set )
      | ~ ( well_founded_relation @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl3]) ).

thf(zip_derived_cl54,plain,
    ( ~ ( well_founded_relation @ sk__4 )
    | ( ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 )
      = empty_set )
    | ( disjoint @ ( fiber @ sk__4 @ ( sk__1 @ ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 ) @ sk__4 ) ) @ ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( is_well_founded_in @ sk__4 @ ( relation_field @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl20]) ).

thf(zip_derived_cl48_009,plain,
    well_founded_relation @ sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl50_010,plain,
    ~ ( is_well_founded_in @ sk__4 @ ( relation_field @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl48]) ).

thf(zip_derived_cl55,plain,
    ( ( ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 )
      = empty_set )
    | ( disjoint @ ( fiber @ sk__4 @ ( sk__1 @ ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 ) @ sk__4 ) ) @ ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl48,zip_derived_cl50]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( disjoint @ ( fiber @ X0 @ X1 ) @ ( sk__2 @ X2 @ X0 ) )
      | ~ ( in @ X1 @ ( sk__2 @ X2 @ X0 ) )
      | ( is_well_founded_in @ X0 @ X2 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d3_wellord1]) ).

thf(zip_derived_cl56,plain,
    ( ( ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 )
      = empty_set )
    | ~ ( relation @ sk__4 )
    | ( is_well_founded_in @ sk__4 @ ( relation_field @ sk__4 ) )
    | ~ ( in @ ( sk__1 @ ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 ) @ sk__4 ) @ ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl5]) ).

thf(zip_derived_cl13_011,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_012,plain,
    ~ ( is_well_founded_in @ sk__4 @ ( relation_field @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl48]) ).

thf(zip_derived_cl57,plain,
    ( ( ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 )
      = empty_set )
    | ~ ( in @ ( sk__1 @ ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 ) @ sk__4 ) @ ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl13,zip_derived_cl50]) ).

thf(zip_derived_cl13_013,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19_014,plain,
    ! [X0: $i] :
      ( ( is_well_founded_in @ sk__4 @ X0 )
      | ( subset @ ( sk__2 @ X0 @ sk__4 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl7]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( well_founded_relation @ X0 )
      | ~ ( subset @ X1 @ ( relation_field @ X0 ) )
      | ( X1 = empty_set )
      | ( in @ ( sk__1 @ X1 @ X0 ) @ X1 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d2_wellord1]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( is_well_founded_in @ sk__4 @ ( relation_field @ X0 ) )
      | ~ ( relation @ X0 )
      | ( in @ ( sk__1 @ ( sk__2 @ ( relation_field @ X0 ) @ sk__4 ) @ X0 ) @ ( sk__2 @ ( relation_field @ X0 ) @ sk__4 ) )
      | ( ( sk__2 @ ( relation_field @ X0 ) @ sk__4 )
        = empty_set )
      | ~ ( well_founded_relation @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl4]) ).

thf(zip_derived_cl36,plain,
    ( ~ ( well_founded_relation @ sk__4 )
    | ( ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 )
      = empty_set )
    | ( in @ ( sk__1 @ ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 ) @ sk__4 ) @ ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( is_well_founded_in @ sk__4 @ ( relation_field @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl22]) ).

thf(zip_derived_cl15_015,plain,
    ( ( is_well_founded_in @ sk__4 @ ( relation_field @ sk__4 ) )
    | ( well_founded_relation @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,plain,
    ( ( is_well_founded_in @ sk__4 @ ( relation_field @ sk__4 ) )
    | ( in @ ( sk__1 @ ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 ) @ sk__4 ) @ ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 )
      = empty_set ) ),
    inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl15]) ).

thf(zip_derived_cl50_016,plain,
    ~ ( is_well_founded_in @ sk__4 @ ( relation_field @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl48]) ).

thf(zip_derived_cl51,plain,
    ( ( in @ ( sk__1 @ ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 ) @ sk__4 ) @ ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 )
      = empty_set ) ),
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl50]) ).

thf(zip_derived_cl58,plain,
    ( ( sk__2 @ ( relation_field @ sk__4 ) @ sk__4 )
    = empty_set ),
    inference(clc,[status(thm)],[zip_derived_cl57,zip_derived_cl51]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__2 @ X0 @ X1 )
       != empty_set )
      | ( is_well_founded_in @ X1 @ X0 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d3_wellord1]) ).

thf(zip_derived_cl60,plain,
    ( ( empty_set != empty_set )
    | ~ ( relation @ sk__4 )
    | ( is_well_founded_in @ sk__4 @ ( relation_field @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl6]) ).

thf(zip_derived_cl13_017,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63,plain,
    ( ( empty_set != empty_set )
    | ( is_well_founded_in @ sk__4 @ ( relation_field @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl13]) ).

thf(zip_derived_cl64,plain,
    is_well_founded_in @ sk__4 @ ( relation_field @ sk__4 ),
    inference(simplify,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl66,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU243+2 : 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.culei4bqyB true
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug 24 01:56:46 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.83  % Solved by fo/fo4.sh.
% 0.21/0.83  % done 34 iterations in 0.029s
% 0.21/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.83  % SZS output start Refutation
% See solution above
% 0.21/0.84  
% 0.21/0.84  
% 0.21/0.84  % Terminating...
% 2.32/0.95  % Runner terminated.
% 2.32/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------