TSTP Solution File: SET650+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET650+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4tRebCaTaW true

% Computer : n004.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 16:15:19 EDT 2023

% Result   : Theorem 0.89s 0.84s
% Output   : Refutation 0.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   90 (  30 unt;  18 typ;   0 def)
%            Number of atoms       :  175 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  630 (  60   ~;  64   |;   7   &; 467   @)
%                                         (   4 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  18 usr;   6 con; 0-2 aty)
%            Number of variables   :  116 (   0   ^; 114   !;   2   ?; 116   :)

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

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

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

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

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

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

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

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

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

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

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

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

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

thf(sk__5_type,type,
    sk__5: $i > $i > $i ).

thf(relation_like_type,type,
    relation_like: $i > $o ).

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

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

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

thf(prove_relset_1_12,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 @ ( domain_of @ D ) @ B )
                & ( subset @ ( range_of @ D ) @ C ) ) ) ) ) ).

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 @ ( domain_of @ D ) @ B )
                  & ( subset @ ( range_of @ D ) @ C ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[prove_relset_1_12]) ).

thf(zip_derived_cl56,plain,
    ( ~ ( subset @ ( domain_of @ sk__16 ) @ sk__14 )
    | ~ ( subset @ ( range_of @ sk__16 ) @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(p10,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_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ( member @ ( sk__5 @ X0 @ X1 ) @ X1 )
      | ( subset @ X1 @ X0 )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p10]) ).

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

thf(zip_derived_cl53,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl53_001,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl665,plain,
    ! [X0: $i,X1: $i] :
      ( ( member @ ( sk__5 @ X0 @ X1 ) @ X1 )
      | ( subset @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl53,zip_derived_cl53]) ).

thf(p1,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ binary_relation_type )
         => ( ( member @ B @ ( domain_of @ C ) )
          <=> ? [D: $i] :
                ( ( member @ ( ordered_pair @ B @ D ) @ C )
                & ( ilf_type @ D @ set_type ) ) ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( member @ X1 @ ( domain_of @ X0 ) )
      | ( member @ ( ordered_pair @ X1 @ ( sk_ @ X0 @ X1 ) ) @ X0 )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p1]) ).

thf(zip_derived_cl53_002,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl518,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( member @ X1 @ ( domain_of @ X0 ) )
      | ( member @ ( ordered_pair @ X1 @ ( sk_ @ X0 @ X1 ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl53]) ).

thf(zip_derived_cl55,plain,
    ilf_type @ sk__16 @ ( relation_type @ sk__14 @ sk__15 ),
    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 )
             => ! [E: $i] :
                  ( ( ilf_type @ E @ set_type )
                 => ! [F: $i] :
                      ( ( ilf_type @ F @ ( relation_type @ B @ C ) )
                     => ( ( member @ ( ordered_pair @ D @ E ) @ F )
                       => ( ( member @ D @ B )
                          & ( member @ E @ C ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( ilf_type @ X1 @ set_type )
      | ( member @ X2 @ X3 )
      | ~ ( member @ ( ordered_pair @ X2 @ X1 ) @ X4 )
      | ~ ( ilf_type @ X4 @ ( relation_type @ X3 @ X0 ) )
      | ~ ( ilf_type @ X2 @ set_type )
      | ~ ( ilf_type @ X3 @ set_type ) ),
    inference(cnf,[status(esa)],[p3]) ).

thf(zip_derived_cl53_003,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl53_004,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl53_005,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl53_006,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl552,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( member @ X2 @ X3 )
      | ~ ( member @ ( ordered_pair @ X2 @ X1 ) @ X4 )
      | ~ ( ilf_type @ X4 @ ( relation_type @ X3 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).

thf(zip_derived_cl553,plain,
    ! [X0: $i,X1: $i] :
      ( ( member @ X0 @ sk__14 )
      | ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ sk__16 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl552]) ).

thf(zip_derived_cl574,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ ( domain_of @ sk__16 ) )
      | ~ ( ilf_type @ sk__16 @ binary_relation_type )
      | ( member @ X0 @ sk__14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl553]) ).

thf(zip_derived_cl55_007,plain,
    ilf_type @ sk__16 @ ( relation_type @ sk__14 @ sk__15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(p8,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_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
      | ~ ( ilf_type @ X2 @ set_type ) ),
    inference(cnf,[status(esa)],[p8]) ).

thf(zip_derived_cl53_008,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl53_009,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl613,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl53,zip_derived_cl53]) ).

thf(p23,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 ) ) )
             => ( relation_like @ D ) ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ( relation_like @ X1 )
      | ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
      | ~ ( ilf_type @ X2 @ set_type ) ),
    inference(cnf,[status(esa)],[p23]) ).

thf(zip_derived_cl53_010,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl53_011,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl561,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( relation_like @ X1 )
      | ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl53,zip_derived_cl53]) ).

thf(zip_derived_cl614,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
      | ( relation_like @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl613,zip_derived_cl561]) ).

thf(zip_derived_cl615,plain,
    relation_like @ sk__16,
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl614]) ).

thf(p13,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ( ( ilf_type @ B @ binary_relation_type )
      <=> ( ( relation_like @ B )
          & ( ilf_type @ B @ set_type ) ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ~ ( relation_like @ X0 )
      | ~ ( ilf_type @ X0 @ set_type )
      | ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( ilf_type @ X0 @ set_type ) ),
    inference(cnf,[status(esa)],[p13]) ).

thf(zip_derived_cl540,plain,
    ! [X0: $i] :
      ( ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( ilf_type @ X0 @ set_type )
      | ~ ( relation_like @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl53_012,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl541,plain,
    ! [X0: $i] :
      ( ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( relation_like @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl540,zip_derived_cl53]) ).

thf(zip_derived_cl616,plain,
    ilf_type @ sk__16 @ binary_relation_type,
    inference('s_sup-',[status(thm)],[zip_derived_cl615,zip_derived_cl541]) ).

thf(zip_derived_cl617,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ ( domain_of @ sk__16 ) )
      | ( member @ X0 @ sk__14 ) ),
    inference(demod,[status(thm)],[zip_derived_cl574,zip_derived_cl616]) ).

thf(zip_derived_cl667,plain,
    ! [X0: $i] :
      ( ( subset @ ( domain_of @ sk__16 ) @ X0 )
      | ( member @ ( sk__5 @ X0 @ ( domain_of @ sk__16 ) ) @ sk__14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl665,zip_derived_cl617]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( member @ ( sk__5 @ X0 @ X1 ) @ X0 )
      | ( subset @ X1 @ X0 )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p10]) ).

thf(zip_derived_cl53_013,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl53_014,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl580,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ ( sk__5 @ X0 @ X1 ) @ X0 )
      | ( subset @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl53,zip_derived_cl53]) ).

thf(zip_derived_cl850,plain,
    ( ( subset @ ( domain_of @ sk__16 ) @ sk__14 )
    | ( subset @ ( domain_of @ sk__16 ) @ sk__14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl667,zip_derived_cl580]) ).

thf(zip_derived_cl851,plain,
    subset @ ( domain_of @ sk__16 ) @ sk__14,
    inference(simplify,[status(thm)],[zip_derived_cl850]) ).

thf(zip_derived_cl852,plain,
    ~ ( subset @ ( range_of @ sk__16 ) @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl851]) ).

thf(zip_derived_cl665_015,plain,
    ! [X0: $i,X1: $i] :
      ( ( member @ ( sk__5 @ X0 @ X1 ) @ X1 )
      | ( subset @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl53,zip_derived_cl53]) ).

thf(p2,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ binary_relation_type )
         => ( ( member @ B @ ( range_of @ C ) )
          <=> ? [D: $i] :
                ( ( member @ ( ordered_pair @ D @ B ) @ C )
                & ( ilf_type @ D @ set_type ) ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( member @ X1 @ ( range_of @ X0 ) )
      | ( member @ ( ordered_pair @ ( sk__1 @ X0 @ X1 ) @ X1 ) @ X0 )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p2]) ).

thf(zip_derived_cl53_016,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl530,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( member @ X1 @ ( range_of @ X0 ) )
      | ( member @ ( ordered_pair @ ( sk__1 @ X0 @ X1 ) @ X1 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl53]) ).

thf(zip_derived_cl55_017,plain,
    ilf_type @ sk__16 @ ( relation_type @ sk__14 @ sk__15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( ilf_type @ X1 @ set_type )
      | ( member @ X1 @ X0 )
      | ~ ( member @ ( ordered_pair @ X2 @ X1 ) @ X3 )
      | ~ ( ilf_type @ X3 @ ( relation_type @ X4 @ X0 ) )
      | ~ ( ilf_type @ X2 @ set_type )
      | ~ ( ilf_type @ X4 @ set_type ) ),
    inference(cnf,[status(esa)],[p3]) ).

thf(zip_derived_cl53_018,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl53_019,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl53_020,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl53_021,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl559,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( member @ X1 @ X0 )
      | ~ ( member @ ( ordered_pair @ X2 @ X1 ) @ X3 )
      | ~ ( ilf_type @ X3 @ ( relation_type @ X4 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).

thf(zip_derived_cl560,plain,
    ! [X0: $i,X1: $i] :
      ( ( member @ X0 @ sk__15 )
      | ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ sk__16 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl559]) ).

thf(zip_derived_cl584,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ ( range_of @ sk__16 ) )
      | ~ ( ilf_type @ sk__16 @ binary_relation_type )
      | ( member @ X0 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl530,zip_derived_cl560]) ).

thf(zip_derived_cl616_022,plain,
    ilf_type @ sk__16 @ binary_relation_type,
    inference('s_sup-',[status(thm)],[zip_derived_cl615,zip_derived_cl541]) ).

thf(zip_derived_cl619,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ ( range_of @ sk__16 ) )
      | ( member @ X0 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl584,zip_derived_cl616]) ).

thf(zip_derived_cl668,plain,
    ! [X0: $i] :
      ( ( subset @ ( range_of @ sk__16 ) @ X0 )
      | ( member @ ( sk__5 @ X0 @ ( range_of @ sk__16 ) ) @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl665,zip_derived_cl619]) ).

thf(zip_derived_cl580_023,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ ( sk__5 @ X0 @ X1 ) @ X0 )
      | ( subset @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl53,zip_derived_cl53]) ).

thf(zip_derived_cl861,plain,
    ( ( subset @ ( range_of @ sk__16 ) @ sk__15 )
    | ( subset @ ( range_of @ sk__16 ) @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl580]) ).

thf(zip_derived_cl862,plain,
    subset @ ( range_of @ sk__16 ) @ sk__15,
    inference(simplify,[status(thm)],[zip_derived_cl861]) ).

thf(zip_derived_cl863,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl852,zip_derived_cl862]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET650+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4tRebCaTaW true
% 0.13/0.35  % Computer : n004.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
% 0.20/0.35  % DateTime : Sat Aug 26 16:11:07 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.20/0.35  % Running portfolio for 300 s
% 0.20/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.89/0.84  % Solved by fo/fo6_bce.sh.
% 0.89/0.84  % BCE start: 58
% 0.89/0.84  % BCE eliminated: 0
% 0.89/0.84  % PE start: 58
% 0.89/0.84  logic: eq
% 0.89/0.84  % PE eliminated: 0
% 0.89/0.84  % done 180 iterations in 0.093s
% 0.89/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.89/0.84  % SZS output start Refutation
% See solution above
% 0.89/0.84  
% 0.89/0.84  
% 0.89/0.84  % Terminating...
% 1.46/0.89  % Runner terminated.
% 1.46/0.89  % Zipperpin 1.5 exiting
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