TSTP Solution File: SEU240+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU240+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CPpzHMaiu0 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 19:11:32 EDT 2023

% Result   : Theorem 1.09s 0.85s
% Output   : Refutation 1.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  108 (  12 unt;  13 typ;   0 def)
%            Number of atoms       :  396 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives : 1757 ( 227   ~; 210   |;  26   &;1229   @)
%                                         (   4 <=>;   9  =>;  52  <=;   0 <~>)
%            Maximal formula depth :   17 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   5 con; 0-2 aty)
%            Number of variables   :  184 (   0   ^; 184   !;   0   ?; 184   :)

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

thf(sk__2_type,type,
    sk__2: $i > $i > $i ).

thf(is_transitive_in_type,type,
    is_transitive_in: $i > $i > $o ).

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

thf(sk__6_type,type,
    sk__6: $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(relation_field_type,type,
    relation_field: $i > $i ).

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

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

thf(transitive_type,type,
    transitive: $i > $o ).

thf(relation_type,type,
    relation: $i > $o ).

thf(d16_relat_2,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( transitive @ A )
      <=> ( is_transitive_in @ A @ ( relation_field @ A ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( transitive @ X0 )
      | ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d16_relat_2]) ).

thf(l2_wellord1,conjecture,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( transitive @ A )
      <=> ! [B: $i,C: $i,D: $i] :
            ( ( ( in @ ( ordered_pair @ B @ C ) @ A )
              & ( in @ ( ordered_pair @ C @ D ) @ A ) )
           => ( in @ ( ordered_pair @ B @ D ) @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( relation @ A )
       => ( ( transitive @ A )
        <=> ! [B: $i,C: $i,D: $i] :
              ( ( ( in @ ( ordered_pair @ B @ C ) @ A )
                & ( in @ ( ordered_pair @ C @ D ) @ A ) )
             => ( in @ ( ordered_pair @ B @ D ) @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[l2_wellord1]) ).

thf(zip_derived_cl35,plain,
    ( ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
    | ~ ( transitive @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58,plain,
    ( ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
   <= ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl34,plain,
    ( ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 )
    | ~ ( transitive @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    ( ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 )
   <= ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(d8_relat_2,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( is_transitive_in @ A @ B )
        <=> ! [C: $i,D: $i,E: $i] :
              ( ( ( in @ C @ B )
                & ( in @ D @ B )
                & ( in @ E @ B )
                & ( in @ ( ordered_pair @ C @ D ) @ A )
                & ( in @ ( ordered_pair @ D @ E ) @ A ) )
             => ( in @ ( ordered_pair @ C @ E ) @ A ) ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( is_transitive_in @ X0 @ X1 )
      | ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
      | ~ ( in @ X3 @ X1 )
      | ~ ( in @ X2 @ X1 )
      | ~ ( in @ X4 @ X1 )
      | ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ X0 )
      | ( in @ ( ordered_pair @ X2 @ X4 ) @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d8_relat_2]) ).

thf(zip_derived_cl312,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( is_transitive_in @ sk__4 @ X0 )
        | ~ ( in @ sk__6 @ X0 )
        | ~ ( in @ sk__5 @ X0 )
        | ~ ( in @ X1 @ X0 )
        | ~ ( in @ ( ordered_pair @ sk__6 @ X1 ) @ sk__4 )
        | ( in @ ( ordered_pair @ sk__5 @ X1 ) @ sk__4 )
        | ~ ( relation @ sk__4 ) )
   <= ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl17]) ).

thf(zip_derived_cl33,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl323,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( is_transitive_in @ sk__4 @ X0 )
        | ~ ( in @ sk__6 @ X0 )
        | ~ ( in @ sk__5 @ X0 )
        | ~ ( in @ X1 @ X0 )
        | ~ ( in @ ( ordered_pair @ sk__6 @ X1 ) @ sk__4 )
        | ( in @ ( ordered_pair @ sk__5 @ X1 ) @ sk__4 ) )
   <= ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl312,zip_derived_cl33]) ).

thf(zip_derived_cl360,plain,
    ( ! [X0: $i] :
        ( ~ ( is_transitive_in @ sk__4 @ X0 )
        | ~ ( in @ sk__6 @ X0 )
        | ~ ( in @ sk__5 @ X0 )
        | ~ ( in @ sk__7 @ X0 )
        | ( in @ ( ordered_pair @ sk__5 @ sk__7 ) @ sk__4 ) )
   <= ( ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 )
      & ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl323]) ).

thf(zip_derived_cl571,plain,
    ( ! [X0: $i] :
        ( ~ ( is_transitive_in @ sk__4 @ X0 )
        | ~ ( in @ sk__6 @ X0 )
        | ~ ( in @ sk__7 @ X0 )
        | ~ ( in @ sk__5 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( is_transitive_in @ sk__4 @ X0 )
        | ~ ( in @ sk__6 @ X0 )
        | ~ ( in @ sk__7 @ X0 )
        | ~ ( in @ sk__5 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl360]) ).

thf(zip_derived_cl579,plain,
    ( ( ~ ( relation @ sk__4 )
      | ~ ( transitive @ sk__4 )
      | ~ ( in @ sk__6 @ ( relation_field @ sk__4 ) )
      | ~ ( in @ sk__7 @ ( relation_field @ sk__4 ) )
      | ~ ( in @ sk__5 @ ( relation_field @ sk__4 ) ) )
   <= ! [X0: $i] :
        ( ~ ( is_transitive_in @ sk__4 @ X0 )
        | ~ ( in @ sk__6 @ X0 )
        | ~ ( in @ sk__7 @ X0 )
        | ~ ( in @ sk__5 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl571]) ).

thf(zip_derived_cl33_001,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl583,plain,
    ( ( ~ ( transitive @ sk__4 )
      | ~ ( in @ sk__6 @ ( relation_field @ sk__4 ) )
      | ~ ( in @ sk__7 @ ( relation_field @ sk__4 ) )
      | ~ ( in @ sk__5 @ ( relation_field @ sk__4 ) ) )
   <= ! [X0: $i] :
        ( ~ ( is_transitive_in @ sk__4 @ X0 )
        | ~ ( in @ sk__6 @ X0 )
        | ~ ( in @ sk__7 @ X0 )
        | ~ ( in @ sk__5 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl579,zip_derived_cl33]) ).

thf(zip_derived_cl618,plain,
    ( ~ ( in @ sk__7 @ ( relation_field @ sk__4 ) )
   <= ~ ( in @ sk__7 @ ( relation_field @ sk__4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl583]) ).

thf(zip_derived_cl58_002,plain,
    ( ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
   <= ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(t30_relat_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation @ C )
     => ( ( in @ ( ordered_pair @ A @ B ) @ C )
       => ( ( in @ A @ ( relation_field @ C ) )
          & ( in @ B @ ( relation_field @ C ) ) ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ X2 )
      | ( in @ X1 @ ( relation_field @ X2 ) )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[t30_relat_1]) ).

thf(zip_derived_cl136,plain,
    ( ( ( in @ sk__7 @ ( relation_field @ sk__4 ) )
      | ~ ( relation @ sk__4 ) )
   <= ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl51]) ).

thf(zip_derived_cl33_003,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141,plain,
    ( ( in @ sk__7 @ ( relation_field @ sk__4 ) )
   <= ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl33]) ).

thf('0',plain,
    ( ( in @ sk__7 @ ( relation_field @ sk__4 ) )
    | ~ ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl618,zip_derived_cl141]) ).

thf('1',plain,
    ( ! [X0: $i] :
        ( ~ ( is_transitive_in @ sk__4 @ X0 )
        | ~ ( in @ sk__6 @ X0 )
        | ~ ( in @ sk__7 @ X0 )
        | ~ ( in @ sk__5 @ X0 ) )
    | ~ ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
    | ~ ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 )
    | ( in @ ( ordered_pair @ sk__5 @ sk__7 ) @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl360]) ).

thf(zip_derived_cl619,plain,
    ( ~ ( in @ sk__6 @ ( relation_field @ sk__4 ) )
   <= ~ ( in @ sk__6 @ ( relation_field @ sk__4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl583]) ).

thf(zip_derived_cl57_004,plain,
    ( ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 )
   <= ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl51_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ X2 )
      | ( in @ X1 @ ( relation_field @ X2 ) )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[t30_relat_1]) ).

thf(zip_derived_cl135,plain,
    ( ( ( in @ sk__6 @ ( relation_field @ sk__4 ) )
      | ~ ( relation @ sk__4 ) )
   <= ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl51]) ).

thf(zip_derived_cl33_006,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140,plain,
    ( ( in @ sk__6 @ ( relation_field @ sk__4 ) )
   <= ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl33]) ).

thf('2',plain,
    ( ( in @ sk__6 @ ( relation_field @ sk__4 ) )
    | ~ ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl619,zip_derived_cl140]) ).

thf(zip_derived_cl58_007,plain,
    ( ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
   <= ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
      | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
      | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 )
      | ( transitive @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62,plain,
    ( ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) )
   <= ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl69,plain,
    ( ! [X0: $i] :
        ( ( in @ ( ordered_pair @ X0 @ sk__7 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ sk__6 ) @ sk__4 ) )
   <= ( ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
      & ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl62]) ).

thf(zip_derived_cl36,plain,
    ( ~ ( in @ ( ordered_pair @ sk__5 @ sk__7 ) @ sk__4 )
    | ~ ( transitive @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    ( ~ ( in @ ( ordered_pair @ sk__5 @ sk__7 ) @ sk__4 )
   <= ~ ( in @ ( ordered_pair @ sk__5 @ sk__7 ) @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl76,plain,
    ( ~ ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 )
   <= ( ~ ( in @ ( ordered_pair @ sk__5 @ sk__7 ) @ sk__4 )
      & ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
      & ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl60]) ).

thf(zip_derived_cl57_008,plain,
    ( ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 )
   <= ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf('3',plain,
    ( ~ ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) )
    | ~ ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
    | ~ ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 )
    | ( in @ ( ordered_pair @ sk__5 @ sk__7 ) @ sk__4 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl76,zip_derived_cl57]) ).

thf('4',plain,
    ( ~ ( in @ ( ordered_pair @ sk__5 @ sk__7 ) @ sk__4 )
    | ~ ( transitive @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf('5',plain,
    ( ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
    | ~ ( transitive @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl69_009,plain,
    ( ! [X0: $i] :
        ( ( in @ ( ordered_pair @ X0 @ sk__7 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ sk__6 ) @ sk__4 ) )
   <= ( ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
      & ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl62]) ).

thf(zip_derived_cl57_010,plain,
    ( ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 )
   <= ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl69_011,plain,
    ( ! [X0: $i] :
        ( ( in @ ( ordered_pair @ X0 @ sk__7 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ sk__6 ) @ sk__4 ) )
   <= ( ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
      & ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl62]) ).

thf(zip_derived_cl17_012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( is_transitive_in @ X0 @ X1 )
      | ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
      | ~ ( in @ X3 @ X1 )
      | ~ ( in @ X2 @ X1 )
      | ~ ( in @ X4 @ X1 )
      | ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ X0 )
      | ( in @ ( ordered_pair @ X2 @ X4 ) @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d8_relat_2]) ).

thf(zip_derived_cl310,plain,
    ( ! [X0: $i,X1: $i,X2: $i] :
        ( ~ ( in @ ( ordered_pair @ X0 @ sk__6 ) @ sk__4 )
        | ~ ( is_transitive_in @ sk__4 @ X1 )
        | ~ ( in @ sk__7 @ X1 )
        | ~ ( in @ X0 @ X1 )
        | ~ ( in @ X2 @ X1 )
        | ~ ( in @ ( ordered_pair @ sk__7 @ X2 ) @ sk__4 )
        | ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 )
        | ~ ( relation @ sk__4 ) )
   <= ( ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
      & ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl17]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( ordered_pair @ ( sk__1 @ X0 @ X1 ) @ ( sk__2 @ X0 @ X1 ) ) @ X1 )
      | ( is_transitive_in @ X1 @ X0 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d8_relat_2]) ).

thf(zip_derived_cl62_013,plain,
    ( ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) )
   <= ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl227,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( relation @ sk__4 )
        | ( is_transitive_in @ sk__4 @ X0 )
        | ( in @ ( ordered_pair @ X1 @ ( sk__2 @ X0 @ sk__4 ) ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X1 @ ( sk__1 @ X0 @ sk__4 ) ) @ sk__4 ) )
   <= ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl62]) ).

thf(zip_derived_cl33_014,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( is_transitive_in @ sk__4 @ X0 )
        | ( in @ ( ordered_pair @ X1 @ ( sk__2 @ X0 @ sk__4 ) ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X1 @ ( sk__1 @ X0 @ sk__4 ) ) @ sk__4 ) )
   <= ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl33]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk__2 @ X0 @ X1 ) ) @ X1 )
      | ( is_transitive_in @ X1 @ X0 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d8_relat_2]) ).

thf(zip_derived_cl235,plain,
    ( ! [X0: $i] :
        ( ~ ( in @ ( ordered_pair @ ( sk_ @ X0 @ sk__4 ) @ ( sk__1 @ X0 @ sk__4 ) ) @ sk__4 )
        | ( is_transitive_in @ sk__4 @ X0 )
        | ( is_transitive_in @ sk__4 @ X0 )
        | ~ ( relation @ sk__4 ) )
   <= ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl11]) ).

thf(zip_derived_cl33_015,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl239,plain,
    ( ! [X0: $i] :
        ( ~ ( in @ ( ordered_pair @ ( sk_ @ X0 @ sk__4 ) @ ( sk__1 @ X0 @ sk__4 ) ) @ sk__4 )
        | ( is_transitive_in @ sk__4 @ X0 )
        | ( is_transitive_in @ sk__4 @ X0 ) )
   <= ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl33]) ).

thf(zip_derived_cl240,plain,
    ( ! [X0: $i] :
        ( ( is_transitive_in @ sk__4 @ X0 )
        | ~ ( in @ ( ordered_pair @ ( sk_ @ X0 @ sk__4 ) @ ( sk__1 @ X0 @ sk__4 ) ) @ sk__4 ) )
   <= ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl239]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X1 )
      | ( is_transitive_in @ X1 @ X0 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d8_relat_2]) ).

thf(zip_derived_cl282,plain,
    ( ! [X0: $i] :
        ( ( is_transitive_in @ sk__4 @ X0 )
        | ( is_transitive_in @ sk__4 @ X0 )
        | ~ ( relation @ sk__4 ) )
   <= ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl240,zip_derived_cl16]) ).

thf(zip_derived_cl33_016,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl287,plain,
    ( ! [X0: $i] :
        ( ( is_transitive_in @ sk__4 @ X0 )
        | ( is_transitive_in @ sk__4 @ X0 ) )
   <= ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl282,zip_derived_cl33]) ).

thf(zip_derived_cl288,plain,
    ( ! [X0: $i] : ( is_transitive_in @ sk__4 @ X0 )
   <= ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl287]) ).

thf(zip_derived_cl33_017,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl321,plain,
    ( ! [X0: $i,X1: $i,X2: $i] :
        ( ~ ( in @ ( ordered_pair @ X0 @ sk__6 ) @ sk__4 )
        | ~ ( in @ sk__7 @ X1 )
        | ~ ( in @ X0 @ X1 )
        | ~ ( in @ X2 @ X1 )
        | ~ ( in @ ( ordered_pair @ sk__7 @ X2 ) @ sk__4 )
        | ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) )
   <= ( ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
      & ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl288,zip_derived_cl33]) ).

thf(zip_derived_cl339,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( in @ sk__7 @ X0 )
        | ~ ( in @ sk__5 @ X0 )
        | ~ ( in @ X1 @ X0 )
        | ~ ( in @ ( ordered_pair @ sk__7 @ X1 ) @ sk__4 )
        | ( in @ ( ordered_pair @ sk__5 @ X1 ) @ sk__4 ) )
   <= ( ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 )
      & ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
      & ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl321]) ).

thf(zip_derived_cl344,plain,
    ( ! [X0: $i] :
        ( ~ ( in @ ( ordered_pair @ sk__7 @ sk__6 ) @ sk__4 )
        | ~ ( in @ sk__7 @ X0 )
        | ~ ( in @ sk__5 @ X0 )
        | ~ ( in @ sk__7 @ X0 )
        | ( in @ ( ordered_pair @ sk__5 @ sk__7 ) @ sk__4 ) )
   <= ( ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 )
      & ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
      & ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl339]) ).

thf(zip_derived_cl347,plain,
    ( ! [X0: $i] :
        ( ( in @ ( ordered_pair @ sk__5 @ sk__7 ) @ sk__4 )
        | ~ ( in @ sk__5 @ X0 )
        | ~ ( in @ sk__7 @ X0 )
        | ~ ( in @ ( ordered_pair @ sk__7 @ sk__6 ) @ sk__4 ) )
   <= ( ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 )
      & ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
      & ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl344]) ).

thf(zip_derived_cl376,plain,
    ( ! [X0: $i] :
        ( ~ ( in @ sk__7 @ X0 )
        | ~ ( in @ sk__5 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( in @ sk__7 @ X0 )
        | ~ ( in @ sk__5 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl347]) ).

thf(zip_derived_cl69_018,plain,
    ( ! [X0: $i] :
        ( ( in @ ( ordered_pair @ X0 @ sk__7 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ sk__6 ) @ sk__4 ) )
   <= ( ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
      & ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl62]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ X2 )
      | ( in @ X0 @ ( relation_field @ X2 ) )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[t30_relat_1]) ).

thf(zip_derived_cl152,plain,
    ( ! [X0: $i] :
        ( ~ ( in @ ( ordered_pair @ X0 @ sk__6 ) @ sk__4 )
        | ( in @ X0 @ ( relation_field @ sk__4 ) )
        | ~ ( relation @ sk__4 ) )
   <= ( ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
      & ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl52]) ).

thf(zip_derived_cl33_019,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl157,plain,
    ( ! [X0: $i] :
        ( ~ ( in @ ( ordered_pair @ X0 @ sk__6 ) @ sk__4 )
        | ( in @ X0 @ ( relation_field @ sk__4 ) ) )
   <= ( ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
      & ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl33]) ).

thf(zip_derived_cl380,plain,
    ( ( ~ ( in @ sk__5 @ ( relation_field @ sk__4 ) )
      | ~ ( in @ ( ordered_pair @ sk__7 @ sk__6 ) @ sk__4 ) )
   <= ( ( in @ ( ordered_pair @ sk__6 @ sk__7 ) @ sk__4 )
      & ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) )
      & ! [X0: $i] :
          ( ~ ( in @ sk__7 @ X0 )
          | ~ ( in @ sk__5 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl376,zip_derived_cl157]) ).

thf(zip_derived_cl388,plain,
    ( ~ ( in @ sk__5 @ ( relation_field @ sk__4 ) )
   <= ~ ( in @ sk__5 @ ( relation_field @ sk__4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl380]) ).

thf(zip_derived_cl57_020,plain,
    ( ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 )
   <= ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl52_021,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ X2 )
      | ( in @ X0 @ ( relation_field @ X2 ) )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[t30_relat_1]) ).

thf(zip_derived_cl154,plain,
    ( ( ( in @ sk__5 @ ( relation_field @ sk__4 ) )
      | ~ ( relation @ sk__4 ) )
   <= ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl52]) ).

thf(zip_derived_cl33_022,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl159,plain,
    ( ( in @ sk__5 @ ( relation_field @ sk__4 ) )
   <= ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl33]) ).

thf('6',plain,
    ( ( in @ sk__5 @ ( relation_field @ sk__4 ) )
    | ~ ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl388,zip_derived_cl159]) ).

thf('7',plain,
    ( ~ ( in @ sk__7 @ ( relation_field @ sk__4 ) )
    | ~ ! [X0: $i] :
          ( ~ ( is_transitive_in @ sk__4 @ X0 )
          | ~ ( in @ sk__6 @ X0 )
          | ~ ( in @ sk__7 @ X0 )
          | ~ ( in @ sk__5 @ X0 ) )
    | ~ ( in @ sk__6 @ ( relation_field @ sk__4 ) )
    | ~ ( in @ sk__5 @ ( relation_field @ sk__4 ) )
    | ~ ( transitive @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl583]) ).

thf('8',plain,
    ( ~ ( transitive @ sk__4 )
    | ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf('9',plain,
    ( ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) )
    | ( transitive @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl288_023,plain,
    ( ! [X0: $i] : ( is_transitive_in @ sk__4 @ X0 )
   <= ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl287]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ~ ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
      | ( transitive @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d16_relat_2]) ).

thf(zip_derived_cl302,plain,
    ( ( ( transitive @ sk__4 )
      | ~ ( relation @ sk__4 ) )
   <= ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl7]) ).

thf(zip_derived_cl33_024,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl303,plain,
    ( ( transitive @ sk__4 )
   <= ! [X0: $i,X1: $i,X2: $i] :
        ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
        | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl33]) ).

thf(zip_derived_cl56,plain,
    ( ~ ( transitive @ sk__4 )
   <= ~ ( transitive @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf('10',plain,
    ( ~ ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__4 )
          | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) )
    | ( transitive @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl303,zip_derived_cl56]) ).

thf(zip_derived_cl647,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU240+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CPpzHMaiu0 true
% 0.13/0.34  % Computer : n026.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 : Wed Aug 23 20:07:31 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % 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
% 0.20/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /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
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.80  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.09/0.85  % Solved by fo/fo1_av.sh.
% 1.09/0.85  % done 306 iterations in 0.106s
% 1.09/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.09/0.85  % SZS output start Refutation
% See solution above
% 1.09/0.85  
% 1.09/0.85  
% 1.09/0.85  % Terminating...
% 1.56/0.94  % Runner terminated.
% 1.66/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------