TSTP Solution File: SET669+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET669+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.S8HXlgTTDz true

% Computer : n026.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 16:15:27 EDT 2023

% Result   : Theorem 9.92s 2.02s
% Output   : Refutation 9.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  102 (  45 unt;  17 typ;   0 def)
%            Number of atoms       :  192 (  13 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  707 (  64   ~;  62   |;   6   &; 536   @)
%                                         (   4 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   5 con; 0-3 aty)
%            Number of variables   :  114 (   0   ^; 114   !;   0   ?; 114   :)

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

thf(member_type,type,
    member: $i > $i > $o ).

thf(sk__14_type,type,
    sk__14: $i ).

thf(range_of_type,type,
    range_of: $i > $i ).

thf(domain_type,type,
    domain: $i > $i > $i > $i ).

thf(set_type_type,type,
    set_type: $i ).

thf(subset_type_type,type,
    subset_type: $i > $i ).

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

thf(identity_relation_of_type,type,
    identity_relation_of: $i > $i ).

thf(sk__13_type,type,
    sk__13: $i ).

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

thf(ilf_type_type,type,
    ilf_type: $i > $i > $o ).

thf(range_type,type,
    range: $i > $i > $i > $i ).

thf(power_set_type,type,
    power_set: $i > $i ).

thf(relation_type_type,type,
    relation_type: $i > $i > $i ).

thf(member_type_type,type,
    member_type: $i > $i ).

thf(sk__12_type,type,
    sk__12: $i ).

thf(prove_relset_1_32,conjecture,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ ( relation_type @ B @ C ) )
             => ( ( subset @ ( identity_relation_of @ C ) @ D )
               => ( ( subset @ C @ ( domain @ B @ C @ D ) )
                  & ( C
                    = ( range @ B @ C @ D ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i] :
        ( ( ilf_type @ B @ set_type )
       => ! [C: $i] :
            ( ( ilf_type @ C @ set_type )
           => ! [D: $i] :
                ( ( ilf_type @ D @ ( relation_type @ B @ C ) )
               => ( ( subset @ ( identity_relation_of @ C ) @ D )
                 => ( ( subset @ C @ ( domain @ B @ C @ D ) )
                    & ( C
                      = ( range @ B @ C @ D ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[prove_relset_1_32]) ).

thf(zip_derived_cl63,plain,
    subset @ ( identity_relation_of @ sk__13 ) @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61,plain,
    ilf_type @ sk__14 @ ( relation_type @ sk__12 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(p2,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ set_type )
             => ! [E: $i] :
                  ( ( ilf_type @ E @ ( relation_type @ B @ C ) )
                 => ( ( subset @ ( identity_relation_of @ D ) @ E )
                   => ( ( subset @ D @ ( domain @ B @ C @ E ) )
                      & ( subset @ D @ ( range @ B @ C @ E ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ( subset @ X3 @ ( range @ X2 @ X0 @ X1 ) )
      | ~ ( subset @ ( identity_relation_of @ X3 ) @ X1 )
      | ~ ( ilf_type @ X3 @ set_type )
      | ~ ( ilf_type @ X2 @ set_type ) ),
    inference(cnf,[status(esa)],[p2]) ).

thf(p32,axiom,
    ! [B: $i] : ( ilf_type @ B @ set_type ) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl59_001,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl59_002,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl118,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ( subset @ X3 @ ( range @ X2 @ X0 @ X1 ) )
      | ~ ( subset @ ( identity_relation_of @ X3 ) @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl59,zip_derived_cl59,zip_derived_cl59]) ).

thf(zip_derived_cl120,plain,
    ! [X0: $i] :
      ( ~ ( subset @ ( identity_relation_of @ X0 ) @ sk__14 )
      | ( subset @ X0 @ ( range @ sk__12 @ sk__13 @ sk__14 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl118]) ).

thf(zip_derived_cl240,plain,
    subset @ sk__13 @ ( range @ sk__12 @ sk__13 @ sk__14 ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl120]) ).

thf(p1,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ( ( ( subset @ B @ C )
              & ( subset @ C @ B ) )
           => ( B = C ) ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ( X1 = X0 )
      | ~ ( subset @ X0 @ X1 )
      | ~ ( subset @ X1 @ X0 )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p1]) ).

thf(zip_derived_cl59_003,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl59_004,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( subset @ X0 @ X1 )
      | ~ ( subset @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl59,zip_derived_cl59]) ).

thf(zip_derived_cl245,plain,
    ( ~ ( subset @ ( range @ sk__12 @ sk__13 @ sk__14 ) @ sk__13 )
    | ( ( range @ sk__12 @ sk__13 @ sk__14 )
      = sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl69]) ).

thf(zip_derived_cl62,plain,
    ( ~ ( subset @ sk__13 @ ( domain @ sk__12 @ sk__13 @ sk__14 ) )
    | ( sk__13
     != ( range @ sk__12 @ sk__13 @ sk__14 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63_005,plain,
    subset @ ( identity_relation_of @ sk__13 ) @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61_006,plain,
    ilf_type @ sk__14 @ ( relation_type @ sk__12 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ( subset @ X3 @ ( domain @ X2 @ X0 @ X1 ) )
      | ~ ( subset @ ( identity_relation_of @ X3 ) @ X1 )
      | ~ ( ilf_type @ X3 @ set_type )
      | ~ ( ilf_type @ X2 @ set_type ) ),
    inference(cnf,[status(esa)],[p2]) ).

thf(zip_derived_cl59_007,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl59_008,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl59_009,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ( subset @ X3 @ ( domain @ X2 @ X0 @ X1 ) )
      | ~ ( subset @ ( identity_relation_of @ X3 ) @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl59,zip_derived_cl59,zip_derived_cl59]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i] :
      ( ~ ( subset @ ( identity_relation_of @ X0 ) @ sk__14 )
      | ( subset @ X0 @ ( domain @ sk__12 @ sk__13 @ sk__14 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl95]) ).

thf(zip_derived_cl104,plain,
    subset @ sk__13 @ ( domain @ sk__12 @ sk__13 @ sk__14 ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl96]) ).

thf(zip_derived_cl105,plain,
    ( sk__13
   != ( range @ sk__12 @ sk__13 @ sk__14 ) ),
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl104]) ).

thf(zip_derived_cl257,plain,
    ~ ( subset @ ( range @ sk__12 @ sk__13 @ sk__14 ) @ sk__13 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl245,zip_derived_cl105]) ).

thf(zip_derived_cl61_010,plain,
    ilf_type @ sk__14 @ ( relation_type @ sk__12 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(p30,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ ( relation_type @ B @ C ) )
             => ( ( range @ B @ C @ D )
                = ( range_of @ D ) ) ) ) ) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ( ( range @ X2 @ X0 @ X1 )
        = ( range_of @ X1 ) )
      | ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ~ ( ilf_type @ X2 @ set_type ) ),
    inference(cnf,[status(esa)],[p30]) ).

thf(zip_derived_cl59_011,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl59_012,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl1851,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( range @ X2 @ X0 @ X1 )
        = ( range_of @ X1 ) )
      | ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl59,zip_derived_cl59]) ).

thf(zip_derived_cl1856,plain,
    ( ( range @ sk__12 @ sk__13 @ sk__14 )
    = ( range_of @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl1851]) ).

thf(zip_derived_cl1946,plain,
    ~ ( subset @ ( range_of @ sk__14 ) @ sk__13 ),
    inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl1856]) ).

thf(p7,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ( ( subset @ B @ C )
          <=> ! [D: $i] :
                ( ( ilf_type @ D @ set_type )
               => ( ( member @ D @ B )
                 => ( member @ D @ C ) ) ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
      | ( subset @ X1 @ X0 )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p7]) ).

thf(zip_derived_cl59_013,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl59_014,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i,X1: $i] :
      ( ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
      | ( subset @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl59,zip_derived_cl59]) ).

thf(zip_derived_cl61_015,plain,
    ilf_type @ sk__14 @ ( relation_type @ sk__12 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(p31,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ ( relation_type @ B @ C ) )
             => ( ilf_type @ ( range @ B @ C @ D ) @ ( subset_type @ C ) ) ) ) ) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ( ilf_type @ ( range @ X1 @ X0 @ X2 ) @ ( subset_type @ X0 ) )
      | ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl59_016,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl59_017,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl1979,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ilf_type @ ( range @ X1 @ X0 @ X2 ) @ ( subset_type @ X0 ) )
      | ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl59,zip_derived_cl59]) ).

thf(zip_derived_cl1985,plain,
    ilf_type @ ( range @ sk__12 @ sk__13 @ sk__14 ) @ ( subset_type @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl1979]) ).

thf(zip_derived_cl1856_018,plain,
    ( ( range @ sk__12 @ sk__13 @ sk__14 )
    = ( range_of @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl1851]) ).

thf(zip_derived_cl1989,plain,
    ilf_type @ ( range_of @ sk__14 ) @ ( subset_type @ sk__13 ),
    inference(demod,[status(thm)],[zip_derived_cl1985,zip_derived_cl1856]) ).

thf(p16,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ( ( ilf_type @ C @ ( subset_type @ B ) )
          <=> ( ilf_type @ C @ ( member_type @ ( power_set @ B ) ) ) ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( ilf_type @ X0 @ ( subset_type @ X1 ) )
      | ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p16]) ).

thf(zip_derived_cl59_019,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl59_020,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl327,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ ( subset_type @ X1 ) )
      | ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl59,zip_derived_cl59]) ).

thf(zip_derived_cl2066,plain,
    ilf_type @ ( range_of @ sk__14 ) @ ( member_type @ ( power_set @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1989,zip_derived_cl327]) ).

thf(p22,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ~ ( empty @ C )
            & ( ilf_type @ C @ set_type ) )
         => ( ( ilf_type @ B @ ( member_type @ C ) )
          <=> ( member @ B @ C ) ) ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ( empty @ X0 )
      | ~ ( ilf_type @ X0 @ set_type )
      | ~ ( ilf_type @ X1 @ ( member_type @ X0 ) )
      | ( member @ X1 @ X0 )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl59_021,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl59_022,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl408,plain,
    ! [X0: $i,X1: $i] :
      ( ( empty @ X0 )
      | ~ ( ilf_type @ X1 @ ( member_type @ X0 ) )
      | ( member @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl59,zip_derived_cl59]) ).

thf(zip_derived_cl2204,plain,
    ( ( member @ ( range_of @ sk__14 ) @ ( power_set @ sk__13 ) )
    | ( empty @ ( power_set @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2066,zip_derived_cl408]) ).

thf(p21,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ( ~ ( empty @ ( power_set @ B ) )
        & ( ilf_type @ ( power_set @ B ) @ set_type ) ) ) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i] :
      ( ~ ( empty @ ( power_set @ X0 ) )
      | ~ ( ilf_type @ X0 @ set_type ) ),
    inference(cnf,[status(esa)],[p21]) ).

thf(zip_derived_cl59_023,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i] :
      ~ ( empty @ ( power_set @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl59]) ).

thf(zip_derived_cl2226,plain,
    member @ ( range_of @ sk__14 ) @ ( power_set @ sk__13 ),
    inference(demod,[status(thm)],[zip_derived_cl2204,zip_derived_cl65]) ).

thf(p20,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ( ( member @ B @ ( power_set @ C ) )
          <=> ! [D: $i] :
                ( ( ilf_type @ D @ set_type )
               => ( ( member @ D @ B )
                 => ( member @ D @ C ) ) ) ) ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( member @ X1 @ ( power_set @ X0 ) )
      | ~ ( member @ X2 @ X1 )
      | ( member @ X2 @ X0 )
      | ~ ( ilf_type @ X2 @ set_type )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p20]) ).

thf(zip_derived_cl59_024,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl59_025,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl59_026,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl981,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X1 @ ( power_set @ X0 ) )
      | ~ ( member @ X2 @ X1 )
      | ( member @ X2 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl59,zip_derived_cl59,zip_derived_cl59]) ).

thf(zip_derived_cl2231,plain,
    ! [X0: $i] :
      ( ( member @ X0 @ sk__13 )
      | ~ ( member @ X0 @ ( range_of @ sk__14 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2226,zip_derived_cl981]) ).

thf(zip_derived_cl2410,plain,
    ! [X0: $i] :
      ( ( subset @ ( range_of @ sk__14 ) @ X0 )
      | ( member @ ( sk__1 @ X0 @ ( range_of @ sk__14 ) ) @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl2231]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
      | ( subset @ X1 @ X0 )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p7]) ).

thf(zip_derived_cl59_027,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl59_028,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p32]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
      | ( subset @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl59,zip_derived_cl59]) ).

thf(zip_derived_cl16458,plain,
    ( ( subset @ ( range_of @ sk__14 ) @ sk__13 )
    | ( subset @ ( range_of @ sk__14 ) @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2410,zip_derived_cl103]) ).

thf(zip_derived_cl16502,plain,
    subset @ ( range_of @ sk__14 ) @ sk__13,
    inference(simplify,[status(thm)],[zip_derived_cl16458]) ).

thf(zip_derived_cl16503,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1946,zip_derived_cl16502]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET669+3 : TPTP v8.1.2. Released v2.2.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.S8HXlgTTDz true
% 0.14/0.35  % Computer : n026.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 : Sat Aug 26 12:28:03 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
% 0.22/0.69  % Total configuration time : 435
% 0.22/0.69  % Estimated wc time : 1092
% 0.22/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 9.92/2.02  % Solved by fo/fo5.sh.
% 9.92/2.02  % done 1340 iterations in 1.227s
% 9.92/2.02  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.92/2.02  % SZS output start Refutation
% See solution above
% 9.92/2.02  
% 9.92/2.02  
% 9.92/2.02  % Terminating...
% 10.13/2.11  % Runner terminated.
% 10.13/2.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------