TSTP Solution File: SET647+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET647+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.AiAuEz90jb true

% Computer : n011.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 16:15:18 EDT 2023

% Result   : Theorem 6.52s 1.57s
% Output   : Refutation 6.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   91 (  32 unt;  16 typ;   0 def)
%            Number of atoms       :  179 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  653 (  62   ~;  61   |;   4   &; 487   @)
%                                         (   5 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  16 usr;   5 con; 0-2 aty)
%            Number of variables   :  114 (   0   ^; 114   !;   0   ?; 114   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cross_product_type,type,
    cross_product: $i > $i > $i ).

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

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

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

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

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

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

thf(binary_relation_type_type,type,
    binary_relation_type: $i ).

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

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

thf(sk__9_type,type,
    sk__9: $i > $i > $i ).

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

thf(domain_of_type,type,
    domain_of: $i > $i ).

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

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

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

thf(prove_relset_1_9,conjecture,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ binary_relation_type )
         => ( ( subset @ ( domain_of @ C ) @ B )
           => ( ilf_type @ C @ ( relation_type @ B @ ( range_of @ C ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i] :
        ( ( ilf_type @ B @ set_type )
       => ! [C: $i] :
            ( ( ilf_type @ C @ binary_relation_type )
           => ( ( subset @ ( domain_of @ C ) @ B )
             => ( ilf_type @ C @ ( relation_type @ B @ ( range_of @ C ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[prove_relset_1_9]) ).

thf(zip_derived_cl52,plain,
    ~ ( ilf_type @ sk__13 @ ( relation_type @ sk__12 @ ( range_of @ sk__13 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl37,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ( member @ ( sk__9 @ X0 @ X1 ) @ X1 )
      | ( member @ X1 @ ( power_set @ X0 ) )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p20]) ).

thf(p26,axiom,
    ! [B: $i] : ( ilf_type @ B @ set_type ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl49_001,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl642,plain,
    ! [X0: $i,X1: $i] :
      ( ( member @ ( sk__9 @ X0 @ X1 ) @ X1 )
      | ( member @ X1 @ ( power_set @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl49,zip_derived_cl49]) ).

thf(p17,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ( subset @ B @ B ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ( subset @ X0 @ X0 )
      | ~ ( ilf_type @ X0 @ set_type ) ),
    inference(cnf,[status(esa)],[p17]) ).

thf(zip_derived_cl49_002,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl472,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl49]) ).

thf(zip_derived_cl51,plain,
    subset @ ( domain_of @ sk__13 ) @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(p3,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ set_type )
             => ( ( subset @ B @ C )
               => ( ( subset @ ( cross_product @ B @ D ) @ ( cross_product @ C @ D ) )
                  & ( subset @ ( cross_product @ D @ B ) @ ( cross_product @ D @ C ) ) ) ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( subset @ X1 @ X0 )
      | ( subset @ ( cross_product @ X1 @ X2 ) @ ( cross_product @ X0 @ X2 ) )
      | ~ ( ilf_type @ X2 @ set_type )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p3]) ).

thf(zip_derived_cl49_003,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl49_004,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl49_005,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl477,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X1 @ X0 )
      | ( subset @ ( cross_product @ X1 @ X2 ) @ ( cross_product @ X0 @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl49,zip_derived_cl49,zip_derived_cl49]) ).

thf(zip_derived_cl53,plain,
    ilf_type @ sk__13 @ binary_relation_type,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(p2,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ binary_relation_type )
     => ( subset @ B @ ( cross_product @ ( domain_of @ B ) @ ( range_of @ B ) ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( subset @ X0 @ ( cross_product @ ( domain_of @ X0 ) @ ( range_of @ X0 ) ) )
      | ~ ( ilf_type @ X0 @ binary_relation_type ) ),
    inference(cnf,[status(esa)],[p2]) ).

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

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( subset @ X1 @ X0 )
      | ~ ( subset @ X0 @ X2 )
      | ( subset @ X1 @ X2 )
      | ~ ( ilf_type @ X2 @ set_type )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p1]) ).

thf(zip_derived_cl49_006,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl49_007,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl49_008,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl468,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X1 @ X0 )
      | ~ ( subset @ X0 @ X2 )
      | ( subset @ X1 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl49,zip_derived_cl49,zip_derived_cl49]) ).

thf(zip_derived_cl471,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( subset @ ( cross_product @ ( domain_of @ X0 ) @ ( range_of @ X0 ) ) @ X1 )
      | ( subset @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl468]) ).

thf(zip_derived_cl475,plain,
    ! [X0: $i] :
      ( ~ ( subset @ ( cross_product @ ( domain_of @ sk__13 ) @ ( range_of @ sk__13 ) ) @ X0 )
      | ( subset @ sk__13 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl471]) ).

thf(zip_derived_cl513,plain,
    ! [X0: $i] :
      ( ~ ( subset @ ( domain_of @ sk__13 ) @ X0 )
      | ( subset @ sk__13 @ ( cross_product @ X0 @ ( range_of @ sk__13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl475]) ).

thf(zip_derived_cl468_009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X1 @ X0 )
      | ~ ( subset @ X0 @ X2 )
      | ( subset @ X1 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl49,zip_derived_cl49,zip_derived_cl49]) ).

thf(zip_derived_cl689,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subset @ ( domain_of @ sk__13 ) @ X0 )
      | ~ ( subset @ ( cross_product @ X0 @ ( range_of @ sk__13 ) ) @ X1 )
      | ( subset @ sk__13 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl468]) ).

thf(zip_derived_cl719,plain,
    ! [X0: $i] :
      ( ~ ( subset @ ( cross_product @ sk__12 @ ( range_of @ sk__13 ) ) @ X0 )
      | ( subset @ sk__13 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl689]) ).

thf(zip_derived_cl729,plain,
    subset @ sk__13 @ ( cross_product @ sk__12 @ ( range_of @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl719]) ).

thf(p12,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_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( subset @ X1 @ X0 )
      | ~ ( member @ X2 @ X1 )
      | ( member @ X2 @ X0 )
      | ~ ( ilf_type @ X2 @ set_type )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p12]) ).

thf(zip_derived_cl49_010,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl49_011,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl49_012,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl554,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X1 @ X0 )
      | ~ ( member @ X2 @ X1 )
      | ( member @ X2 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl49,zip_derived_cl49,zip_derived_cl49]) ).

thf(zip_derived_cl736,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__13 )
      | ( member @ X0 @ ( cross_product @ sk__12 @ ( range_of @ sk__13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl554]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( member @ ( sk__9 @ X0 @ X1 ) @ X0 )
      | ( member @ X1 @ ( power_set @ X0 ) )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p20]) ).

thf(zip_derived_cl49_013,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl49_014,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl563,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ ( sk__9 @ X0 @ X1 ) @ X0 )
      | ( member @ X1 @ ( power_set @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl49,zip_derived_cl49]) ).

thf(zip_derived_cl957,plain,
    ! [X0: $i] :
      ( ~ ( member @ ( sk__9 @ ( cross_product @ sk__12 @ ( range_of @ sk__13 ) ) @ X0 ) @ sk__13 )
      | ( member @ X0 @ ( power_set @ ( cross_product @ sk__12 @ ( range_of @ sk__13 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl563]) ).

thf(zip_derived_cl3090,plain,
    ( ( member @ sk__13 @ ( power_set @ ( cross_product @ sk__12 @ ( range_of @ sk__13 ) ) ) )
    | ( member @ sk__13 @ ( power_set @ ( cross_product @ sk__12 @ ( range_of @ sk__13 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl957]) ).

thf(zip_derived_cl3091,plain,
    member @ sk__13 @ ( power_set @ ( cross_product @ sk__12 @ ( range_of @ sk__13 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3090]) ).

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 )
      | ~ ( member @ X1 @ X0 )
      | ( ilf_type @ X1 @ ( member_type @ X0 ) )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl49_015,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl49_016,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl666,plain,
    ! [X0: $i,X1: $i] :
      ( ( empty @ X0 )
      | ~ ( member @ X1 @ X0 )
      | ( ilf_type @ X1 @ ( member_type @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl49,zip_derived_cl49]) ).

thf(p24,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ( ( empty @ B )
      <=> ! [C: $i] :
            ( ( ilf_type @ C @ set_type )
           => ~ ( member @ C @ B ) ) ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( empty @ X0 )
      | ~ ( member @ X1 @ X0 )
      | ~ ( ilf_type @ X1 @ set_type )
      | ~ ( ilf_type @ X0 @ set_type ) ),
    inference(cnf,[status(esa)],[p24]) ).

thf(zip_derived_cl49_017,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl49_018,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl498,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( empty @ X0 )
      | ~ ( member @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl49,zip_derived_cl49]) ).

thf(zip_derived_cl667,plain,
    ! [X0: $i,X1: $i] :
      ( ( ilf_type @ X1 @ ( member_type @ X0 ) )
      | ~ ( member @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl666,zip_derived_cl498]) ).

thf(p15,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_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
      | ( ilf_type @ X0 @ ( subset_type @ X1 ) )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p15]) ).

thf(zip_derived_cl49_019,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl49_020,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl579,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
      | ( ilf_type @ X0 @ ( subset_type @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl49,zip_derived_cl49]) ).

thf(zip_derived_cl668,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X1 @ ( power_set @ X0 ) )
      | ( ilf_type @ X1 @ ( subset_type @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl667,zip_derived_cl579]) ).

thf(zip_derived_cl3095,plain,
    ilf_type @ sk__13 @ ( subset_type @ ( cross_product @ sk__12 @ ( range_of @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3091,zip_derived_cl668]) ).

thf(p4,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ( ! [D: $i] :
                ( ( ilf_type @ D @ ( subset_type @ ( cross_product @ B @ C ) ) )
               => ( ilf_type @ D @ ( relation_type @ B @ C ) ) )
            & ! [E: $i] :
                ( ( ilf_type @ E @ ( relation_type @ B @ C ) )
               => ( ilf_type @ E @ ( subset_type @ ( cross_product @ B @ C ) ) ) ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
      | ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ~ ( ilf_type @ X2 @ set_type ) ),
    inference(cnf,[status(esa)],[p4]) ).

thf(zip_derived_cl49_021,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl49_022,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl501,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
      | ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl49,zip_derived_cl49]) ).

thf(zip_derived_cl3096,plain,
    ilf_type @ sk__13 @ ( relation_type @ sk__12 @ ( range_of @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3095,zip_derived_cl501]) ).

thf(zip_derived_cl3102,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl3096]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET647+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AiAuEz90jb true
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 09:55:09 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /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
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.52/1.57  % Solved by fo/fo6_bce.sh.
% 6.52/1.57  % BCE start: 54
% 6.52/1.57  % BCE eliminated: 0
% 6.52/1.57  % PE start: 54
% 6.52/1.57  logic: eq
% 6.52/1.57  % PE eliminated: 0
% 6.52/1.57  % done 603 iterations in 0.832s
% 6.52/1.57  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.52/1.57  % SZS output start Refutation
% See solution above
% 6.52/1.57  
% 6.52/1.57  
% 6.52/1.57  % Terminating...
% 7.04/1.65  % Runner terminated.
% 7.04/1.66  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------