TSTP Solution File: SET681+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET681+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.SlNu3xMsI7 true

% Computer : n014.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 16:15:34 EDT 2023

% Result   : Theorem 1.28s 0.85s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   93 (  32 unt;  19 typ;   0 def)
%            Number of atoms       :  186 (   4 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  694 (  79   ~;  64   |;  11   &; 503   @)
%                                         (   6 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   8 con; 0-3 aty)
%            Number of variables   :  120 (   0   ^; 117   !;   3   ?; 120   :)

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

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

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

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

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

thf(sk__11_type,type,
    sk__11: $i ).

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

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

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

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

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

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

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

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

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

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

thf(p1,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_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( member @ X1 @ ( range_of @ X0 ) )
      | ( member @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ X1 ) @ X0 )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p1]) ).

thf(p31,axiom,
    ! [B: $i] : ( ilf_type @ B @ set_type ) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl556,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( member @ X1 @ ( range_of @ X0 ) )
      | ( member @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ X1 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl55]) ).

thf(p8,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_cl13,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)],[p8]) ).

thf(zip_derived_cl55_001,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl55_002,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl630,plain,
    ! [X0: $i,X1: $i] :
      ( ( empty @ X0 )
      | ~ ( member @ X1 @ X0 )
      | ( ilf_type @ X1 @ ( member_type @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl55,zip_derived_cl55]) ).

thf(p10,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ( ( empty @ B )
      <=> ! [C: $i] :
            ( ( ilf_type @ C @ set_type )
           => ~ ( member @ C @ B ) ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( empty @ X0 )
      | ~ ( member @ X1 @ X0 )
      | ~ ( ilf_type @ X1 @ set_type )
      | ~ ( ilf_type @ X0 @ set_type ) ),
    inference(cnf,[status(esa)],[p10]) ).

thf(zip_derived_cl55_003,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl55_004,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl562,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( empty @ X0 )
      | ~ ( member @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl55,zip_derived_cl55]) ).

thf(zip_derived_cl631,plain,
    ! [X0: $i,X1: $i] :
      ( ( ilf_type @ X1 @ ( member_type @ X0 ) )
      | ~ ( member @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl630,zip_derived_cl562]) ).

thf(p29,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_cl53,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)],[p29]) ).

thf(zip_derived_cl55_005,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl55_006,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl783,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_cl53,zip_derived_cl55,zip_derived_cl55]) ).

thf(prove_relset_1_48,conjecture,
    ! [B: $i] :
      ( ( ~ ( empty @ B )
        & ( ilf_type @ B @ set_type ) )
     => ! [C: $i] :
          ( ( ~ ( empty @ C )
            & ( ilf_type @ C @ set_type ) )
         => ! [D: $i] :
              ( ( ilf_type @ D @ ( relation_type @ C @ B ) )
             => ! [E: $i] :
                  ( ( ilf_type @ E @ ( member_type @ B ) )
                 => ( ( member @ E @ ( range @ C @ B @ D ) )
                  <=> ? [F: $i] :
                        ( ( member @ ( ordered_pair @ F @ E ) @ D )
                        & ( ilf_type @ F @ ( member_type @ C ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i] :
        ( ( ~ ( empty @ B )
          & ( ilf_type @ B @ set_type ) )
       => ! [C: $i] :
            ( ( ~ ( empty @ C )
              & ( ilf_type @ C @ set_type ) )
           => ! [D: $i] :
                ( ( ilf_type @ D @ ( relation_type @ C @ B ) )
               => ! [E: $i] :
                    ( ( ilf_type @ E @ ( member_type @ B ) )
                   => ( ( member @ E @ ( range @ C @ B @ D ) )
                    <=> ? [F: $i] :
                          ( ( member @ ( ordered_pair @ F @ E ) @ D )
                          & ( ilf_type @ F @ ( member_type @ C ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[prove_relset_1_48]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i] :
      ( ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
      | ~ ( member @ ( ordered_pair @ X0 @ sk__14 ) @ sk__13 )
      | ~ ( member @ sk__14 @ ( range @ sk__12 @ sk__11 @ sk__13 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl786,plain,
    ! [X0: $i] :
      ( ~ ( ilf_type @ sk__13 @ ( relation_type @ sk__12 @ sk__11 ) )
      | ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
      | ~ ( member @ ( ordered_pair @ X0 @ sk__14 ) @ sk__13 )
      | ~ ( member @ sk__14 @ ( range_of @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl783,zip_derived_cl61]) ).

thf(zip_derived_cl58,plain,
    ilf_type @ sk__13 @ ( relation_type @ sk__12 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl791,plain,
    ! [X0: $i] :
      ( ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
      | ~ ( member @ ( ordered_pair @ X0 @ sk__14 ) @ sk__13 )
      | ~ ( member @ sk__14 @ ( range_of @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl786,zip_derived_cl58]) ).

thf(zip_derived_cl58_007,plain,
    ilf_type @ sk__13 @ ( relation_type @ sk__12 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(p6,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_cl10,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)],[p6]) ).

thf(zip_derived_cl55_008,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl55_009,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl603,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_cl10,zip_derived_cl55,zip_derived_cl55]) ).

thf(p26,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_cl50,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)],[p26]) ).

thf(zip_derived_cl55_010,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl55_011,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl604,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_cl50,zip_derived_cl55,zip_derived_cl55]) ).

thf(zip_derived_cl605,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
      | ( relation_like @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl603,zip_derived_cl604]) ).

thf(zip_derived_cl607,plain,
    relation_like @ sk__13,
    inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl605]) ).

thf(p17,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)],[p17]) ).

thf(zip_derived_cl584,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_cl55_012,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl585,plain,
    ! [X0: $i] :
      ( ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( relation_like @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl584,zip_derived_cl55]) ).

thf(zip_derived_cl608,plain,
    ilf_type @ sk__13 @ binary_relation_type,
    inference('s_sup-',[status(thm)],[zip_derived_cl607,zip_derived_cl585]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( member @ ( ordered_pair @ X1 @ X2 ) @ X0 )
      | ~ ( ilf_type @ X1 @ set_type )
      | ( member @ X2 @ ( range_of @ X0 ) )
      | ~ ( ilf_type @ X2 @ set_type ) ),
    inference(cnf,[status(esa)],[p1]) ).

thf(zip_derived_cl55_013,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl55_014,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl563,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( member @ ( ordered_pair @ X1 @ X2 ) @ X0 )
      | ( member @ X2 @ ( range_of @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl55,zip_derived_cl55]) ).

thf(zip_derived_cl612,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ sk__13 )
      | ( member @ X0 @ ( range_of @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl563]) ).

thf(zip_derived_cl805,plain,
    ! [X0: $i] :
      ( ~ ( member @ ( ordered_pair @ X0 @ sk__14 ) @ sk__13 )
      | ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl791,zip_derived_cl612]) ).

thf(zip_derived_cl806,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__12 )
      | ~ ( member @ ( ordered_pair @ X0 @ sk__14 ) @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl805]) ).

thf(zip_derived_cl58_015,plain,
    ilf_type @ sk__13 @ ( relation_type @ sk__12 @ sk__11 ),
    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_cl5,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_cl55_016,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl55_017,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl55_018,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl55_019,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p31]) ).

thf(zip_derived_cl576,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_cl5,zip_derived_cl55,zip_derived_cl55,zip_derived_cl55,zip_derived_cl55]) ).

thf(zip_derived_cl577,plain,
    ! [X0: $i,X1: $i] :
      ( ( member @ X0 @ sk__12 )
      | ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl576]) ).

thf(zip_derived_cl851,plain,
    ! [X0: $i] :
      ~ ( member @ ( ordered_pair @ X0 @ sk__14 ) @ sk__13 ),
    inference(clc,[status(thm)],[zip_derived_cl806,zip_derived_cl577]) ).

thf(zip_derived_cl856,plain,
    ( ~ ( member @ sk__14 @ ( range_of @ sk__13 ) )
    | ~ ( ilf_type @ sk__13 @ binary_relation_type ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl556,zip_derived_cl851]) ).

thf(zip_derived_cl608_020,plain,
    ilf_type @ sk__13 @ binary_relation_type,
    inference('s_sup-',[status(thm)],[zip_derived_cl607,zip_derived_cl585]) ).

thf(zip_derived_cl857,plain,
    ~ ( member @ sk__14 @ ( range_of @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl856,zip_derived_cl608]) ).

thf(zip_derived_cl783_021,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_cl53,zip_derived_cl55,zip_derived_cl55]) ).

thf(zip_derived_cl59,plain,
    ( ( member @ ( ordered_pair @ sk__15 @ sk__14 ) @ sk__13 )
    | ( member @ sk__14 @ ( range @ sk__12 @ sk__11 @ sk__13 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl851_022,plain,
    ! [X0: $i] :
      ~ ( member @ ( ordered_pair @ X0 @ sk__14 ) @ sk__13 ),
    inference(clc,[status(thm)],[zip_derived_cl806,zip_derived_cl577]) ).

thf(zip_derived_cl852,plain,
    member @ sk__14 @ ( range @ sk__12 @ sk__11 @ sk__13 ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl851]) ).

thf(zip_derived_cl864,plain,
    ( ~ ( ilf_type @ sk__13 @ ( relation_type @ sk__12 @ sk__11 ) )
    | ( member @ sk__14 @ ( range_of @ sk__13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl783,zip_derived_cl852]) ).

thf(zip_derived_cl58_023,plain,
    ilf_type @ sk__13 @ ( relation_type @ sk__12 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl865,plain,
    member @ sk__14 @ ( range_of @ sk__13 ),
    inference(demod,[status(thm)],[zip_derived_cl864,zip_derived_cl58]) ).

thf(zip_derived_cl876,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl857,zip_derived_cl865]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET681+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SlNu3xMsI7 true
% 0.13/0.35  % Computer : n014.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 : Sat Aug 26 13:19:02 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.85  % Solved by fo/fo6_bce.sh.
% 1.28/0.85  % BCE start: 65
% 1.28/0.85  % BCE eliminated: 0
% 1.28/0.85  % PE start: 65
% 1.28/0.85  logic: eq
% 1.28/0.85  % PE eliminated: 0
% 1.28/0.85  % done 162 iterations in 0.088s
% 1.28/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.28/0.85  % SZS output start Refutation
% See solution above
% 1.28/0.85  
% 1.28/0.85  
% 1.28/0.85  % Terminating...
% 1.60/0.96  % Runner terminated.
% 1.60/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------