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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET680+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qbpkZ2v9ob true

% Computer : n016.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 Oct  2 04:52:40 PM UTC 2025

% Result   : Theorem 0.57s 0.82s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   73 (  29 unt;   0 typ;   0 def)
%            Number of atoms       :  188 (   4 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  702 (  78   ~;  67   |;  11   &; 509   @)
%                                         (   6 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   8 con; 0-3 aty)
%            Number of variables   :  121 (   0   ^; 118   !;   3   ?; 121   :)

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

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

thf(domain_type,type,
    domain: $i > $i > $i > $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(domain_of_type,type,
    domain_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 @ ( 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(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 @ ( domain_of @ X0 ) )
      | ( member @ ( ordered_pair @ X1 @ ( sk_ @ X0 @ 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(p27,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ ( relation_type @ B @ C ) )
             => ( ( domain @ B @ C @ D )
                = ( domain_of @ D ) ) ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ( ( domain @ X2 @ X0 @ X1 )
        = ( domain_of @ X1 ) )
      | ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ~ ( ilf_type @ X2 @ set_type ) ),
    inference(cnf,[status(esa)],[p27]) ).

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_cl744,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( domain @ X2 @ X0 @ X1 )
        = ( domain_of @ X1 ) )
      | ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl55,zip_derived_cl55]) ).

thf(prove_relset_1_47,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 @ B @ C ) )
             => ! [E: $i] :
                  ( ( ilf_type @ E @ ( member_type @ B ) )
                 => ( ( member @ E @ ( domain @ B @ C @ D ) )
                  <=> ? [F: $i] :
                        ( ( member @ ( ordered_pair @ E @ F ) @ 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 @ B @ C ) )
               => ! [E: $i] :
                    ( ( ilf_type @ E @ ( member_type @ B ) )
                   => ( ( member @ E @ ( domain @ B @ C @ D ) )
                    <=> ? [F: $i] :
                          ( ( member @ ( ordered_pair @ E @ F ) @ D )
                          & ( ilf_type @ F @ ( member_type @ C ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[prove_relset_1_47]) ).

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

thf(zip_derived_cl747,plain,
    ! [X0: $i] :
      ( ~ ( ilf_type @ sk__13 @ ( relation_type @ sk__11 @ sk__12 ) )
      | ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
      | ~ ( member @ ( ordered_pair @ sk__14 @ X0 ) @ sk__13 )
      | ~ ( member @ sk__14 @ ( domain_of @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl744,zip_derived_cl61]) ).

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

thf(zip_derived_cl752,plain,
    ! [X0: $i] :
      ( ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
      | ~ ( member @ ( ordered_pair @ sk__14 @ X0 ) @ sk__13 )
      | ~ ( member @ sk__14 @ ( domain_of @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl747,zip_derived_cl58]) ).

thf(zip_derived_cl58_007,plain,
    ilf_type @ sk__13 @ ( relation_type @ sk__11 @ sk__12 ),
    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 @ X2 @ set_type )
      | ( member @ X1 @ ( domain_of @ X0 ) )
      | ~ ( ilf_type @ X1 @ 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 @ X1 @ ( domain_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 @ X1 @ ( domain_of @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl563]) ).

thf(zip_derived_cl791,plain,
    ! [X0: $i] :
      ( ~ ( member @ ( ordered_pair @ sk__14 @ X0 ) @ sk__13 )
      | ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl752,zip_derived_cl612]) ).

thf(zip_derived_cl792,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__12 )
      | ~ ( member @ ( ordered_pair @ sk__14 @ X0 ) @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl791]) ).

thf(zip_derived_cl58_015,plain,
    ilf_type @ sk__13 @ ( relation_type @ sk__11 @ 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 )
             => ! [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 @ 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_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_cl580,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_cl6,zip_derived_cl55,zip_derived_cl55,zip_derived_cl55,zip_derived_cl55]) ).

thf(zip_derived_cl581,plain,
    ! [X0: $i,X1: $i] :
      ( ( member @ X0 @ sk__12 )
      | ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl580]) ).

thf(zip_derived_cl804,plain,
    ! [X0: $i] :
      ~ ( member @ ( ordered_pair @ sk__14 @ X0 ) @ sk__13 ),
    inference(clc,[status(thm)],[zip_derived_cl792,zip_derived_cl581]) ).

thf(zip_derived_cl823,plain,
    ( ~ ( member @ sk__14 @ ( domain_of @ sk__13 ) )
    | ~ ( ilf_type @ sk__13 @ binary_relation_type ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl556,zip_derived_cl804]) ).

thf(zip_derived_cl744_020,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( domain @ X2 @ X0 @ X1 )
        = ( domain_of @ X1 ) )
      | ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl55,zip_derived_cl55]) ).

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

thf(zip_derived_cl745,plain,
    ( ~ ( ilf_type @ sk__13 @ ( relation_type @ sk__11 @ sk__12 ) )
    | ( member @ ( ordered_pair @ sk__14 @ sk__15 ) @ sk__13 )
    | ( member @ sk__14 @ ( domain_of @ sk__13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl744,zip_derived_cl59]) ).

thf(zip_derived_cl58_021,plain,
    ilf_type @ sk__13 @ ( relation_type @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl750,plain,
    ( ( member @ ( ordered_pair @ sk__14 @ sk__15 ) @ sk__13 )
    | ( member @ sk__14 @ ( domain_of @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl58]) ).

thf(zip_derived_cl612_022,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ sk__13 )
      | ( member @ X1 @ ( domain_of @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl563]) ).

thf(zip_derived_cl796,plain,
    member @ sk__14 @ ( domain_of @ sk__13 ),
    inference(clc,[status(thm)],[zip_derived_cl750,zip_derived_cl612]) ).

thf(zip_derived_cl608_023,plain,
    ilf_type @ sk__13 @ binary_relation_type,
    inference('s_sup-',[status(thm)],[zip_derived_cl607,zip_derived_cl585]) ).

thf(zip_derived_cl832,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl823,zip_derived_cl796,zip_derived_cl608]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SET680+3 : TPTP v9.2.0. Released v2.2.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qbpkZ2v9ob true
% 0.14/0.35  % Computer : n016.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 : Wed Oct  1 12:57:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.54/0.65  % Total configuration time : 435
% 0.54/0.65  % Estimated wc time : 1092
% 0.54/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.82  % Solved by fo/fo6_bce.sh.
% 0.57/0.82  % BCE start: 65
% 0.57/0.82  % BCE eliminated: 0
% 0.57/0.82  % PE start: 65
% 0.57/0.82  logic: eq
% 0.57/0.82  % PE eliminated: 0
% 0.57/0.82  % done 143 iterations in 0.093s
% 0.57/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.82  % SZS output start Refutation
% See solution above
% 0.57/0.83  
% 0.57/0.83  
% 0.57/0.83  % Terminating...
% 0.57/0.86  % Runner terminated.
% 0.57/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------