SET007 Axioms: SET007+493.ax


%------------------------------------------------------------------------------
% File     : SET007+493 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Moore-Smith Convergence
% Version  : [Urb08] axioms.
% English  :

% Refs     : [Mat90] Matuszewski (1990), Formalized Mathematics
%          : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
%          : [Urb08] Urban (2006), Email to G. Sutcliffe
% Source   : [Urb08]
% Names    : yellow_6 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  154 (  10 unit)
%            Number of atoms       : 1133 (  51 equality)
%            Maximal formula depth :   20 (   9 average)
%            Number of connectives : 1190 ( 211 ~  ;   2  |; 592  &)
%                                         (  39 <=>; 346 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   70 (   1 propositional; 0-3 arity)
%            Number of functors    :   56 (   1 constant; 0-5 arity)
%            Number of variables   :  432 (   0 singleton; 405 !;  27 ?)
%            Maximal term depth    :    5 (   1 average)
% SPC      : 

% Comments : The individual reference can be found in [Mat90] by looking for
%            the name provided by [Urb08].
%          : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
%          : These set theory axioms are used in encodings of problems in
%            various domains, including ALG, CAT, GRP, LAT, SET, and TOP.
%------------------------------------------------------------------------------
fof(rc1_yellow_6,axiom,(
    ? [A] :
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v5_seqm_3(A) ) )).

fof(cc1_yellow_6,axiom,(
    ! [A] :
      ( v1_classes2(A)
     => ( v1_ordinal1(A)
        & v1_classes1(A)
        & v2_classes1(A)
        & v1_classes2(A) ) ) )).

fof(cc2_yellow_6,axiom,(
    ! [A] :
      ( ( v1_ordinal1(A)
        & v2_classes1(A) )
     => ( v1_ordinal1(A)
        & v1_classes1(A)
        & v2_classes1(A)
        & v1_classes2(A) ) ) )).

fof(fc1_yellow_6,axiom,(
    ! [A] :
      ( v1_ordinal1(k2_yellow_6(A))
      & v1_classes1(k2_yellow_6(A))
      & v2_classes1(k2_yellow_6(A))
      & v1_classes2(k2_yellow_6(A)) ) )).

fof(fc2_yellow_6,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(k2_yellow_6(A))
      & v1_ordinal1(k2_yellow_6(A))
      & v1_classes1(k2_yellow_6(A))
      & v2_classes1(k2_yellow_6(A))
      & v1_classes2(k2_yellow_6(A)) ) )).

fof(rc2_yellow_6,axiom,(
    ? [A] :
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v5_seqm_3(A)
      & v2_pralg_1(A) ) )).

fof(fc3_yellow_6,axiom,(
    ! [A,B] :
      ( l1_struct_0(B)
     => ( v1_relat_1(k2_funcop_1(A,B))
        & v1_funct_1(k2_funcop_1(A,B))
        & v5_seqm_3(k2_funcop_1(A,B))
        & v2_pralg_1(k2_funcop_1(A,B)) ) ) )).

fof(rc3_yellow_6,axiom,(
    ! [A] :
    ? [B] :
      ( m1_pboole(B,A)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v2_pralg_1(B)
      & v4_waybel_3(B) ) )).

fof(fc4_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & v1_yellow_1(B)
        & m1_pboole(B,A) )
     => v1_fraenkel(u1_struct_0(k5_yellow_1(A,B))) ) )).

fof(fc5_yellow_6,axiom,(
    ! [A,B] :
      ( ( v2_pralg_1(B)
        & v4_waybel_3(B)
        & m1_pboole(B,A) )
     => ( v1_relat_1(k12_pralg_1(A,B))
        & v2_relat_1(k12_pralg_1(A,B))
        & v1_funct_1(k12_pralg_1(A,B)) ) ) )).

fof(fc6_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & v12_waybel_0(B,A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => v13_waybel_0(k3_subset_1(u1_struct_0(A),B),A) ) )).

fof(fc7_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & v13_waybel_0(B,A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => v12_waybel_0(k3_subset_1(u1_struct_0(A),B),A) ) )).

fof(fc8_yellow_6,axiom,(
    ! [A] :
      ( ~ v3_struct_0(k3_yellow_1(A))
      & v1_orders_2(k3_yellow_1(A))
      & v2_orders_2(k3_yellow_1(A))
      & v3_orders_2(k3_yellow_1(A))
      & v4_orders_2(k3_yellow_1(A))
      & v1_yellow_0(k3_yellow_1(A))
      & v2_yellow_0(k3_yellow_1(A))
      & v3_yellow_0(k3_yellow_1(A))
      & v7_waybel_0(k3_yellow_1(A))
      & v24_waybel_0(k3_yellow_1(A))
      & v25_waybel_0(k3_yellow_1(A))
      & ~ v1_yellow_3(k3_yellow_1(A))
      & v1_lattice3(k3_yellow_1(A))
      & v2_lattice3(k3_yellow_1(A))
      & v3_lattice3(k3_yellow_1(A)) ) )).

fof(rc4_yellow_6,axiom,(
    ? [A] :
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v3_orders_2(A)
      & v7_waybel_0(A) ) )).

fof(rc5_yellow_6,axiom,(
    ! [A] :
    ? [B] :
      ( m1_pboole(B,A)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v2_pralg_1(B)
      & v1_yellow_1(B)
      & v4_waybel_3(B) ) )).

fof(fc9_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & v1_yellow_1(B)
        & v4_waybel_3(B)
        & m1_pboole(B,A) )
     => ( ~ v3_struct_0(k5_yellow_1(A,B))
        & v1_orders_2(k5_yellow_1(A,B)) ) ) )).

fof(fc10_yellow_6,axiom,(
    ! [A,B] :
      ( ( v7_waybel_0(A)
        & l1_orders_2(A)
        & v7_waybel_0(B)
        & l1_orders_2(B) )
     => ( v1_orders_2(k3_yellow_3(A,B))
        & v7_waybel_0(k3_yellow_3(A,B)) ) ) )).

fof(fc11_yellow_6,axiom,(
    ! [A,B,C] :
      ( ( l1_orders_2(A)
        & ~ v3_struct_0(B)
        & l1_struct_0(B)
        & m1_subset_1(C,u1_struct_0(B)) )
     => ( v6_waybel_0(k4_yellow_6(A,B,C),B)
        & v1_yellow_6(k4_yellow_6(A,B,C),B) ) ) )).

fof(fc12_yellow_6,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & l1_struct_0(B)
        & m1_subset_1(C,u1_struct_0(B)) )
     => ( ~ v3_struct_0(k4_yellow_6(A,B,C))
        & v6_waybel_0(k4_yellow_6(A,B,C),B)
        & v1_yellow_6(k4_yellow_6(A,B,C),B) ) ) )).

fof(fc13_yellow_6,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v7_waybel_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & l1_struct_0(B)
        & m1_subset_1(C,u1_struct_0(B)) )
     => ( ~ v3_struct_0(k4_yellow_6(A,B,C))
        & v6_waybel_0(k4_yellow_6(A,B,C),B)
        & v7_waybel_0(k4_yellow_6(A,B,C))
        & v1_yellow_6(k4_yellow_6(A,B,C),B) ) ) )).

fof(fc14_yellow_6,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v3_orders_2(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & l1_struct_0(B)
        & m1_subset_1(C,u1_struct_0(B)) )
     => ( ~ v3_struct_0(k4_yellow_6(A,B,C))
        & v3_orders_2(k4_yellow_6(A,B,C))
        & v6_waybel_0(k4_yellow_6(A,B,C),B)
        & v1_yellow_6(k4_yellow_6(A,B,C),B) ) ) )).

fof(fc15_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & l1_waybel_0(B,A) )
     => ( ~ v1_xboole_0(u1_waybel_0(A,B))
        & v1_relat_1(u1_waybel_0(A,B))
        & v1_funct_1(u1_waybel_0(A,B))
        & v1_funct_2(u1_waybel_0(A,B),u1_struct_0(B),u1_struct_0(A)) ) ) )).

fof(rc6_yellow_6,axiom,(
    ! [A,B] :
      ( ( l1_struct_0(A)
        & l1_waybel_0(B,A) )
     => ? [C] :
          ( m1_yellow_6(C,A,B)
          & v6_waybel_0(C,A)
          & v2_yellow_6(C,A,B) ) ) )).

fof(rc7_yellow_6,axiom,(
    ! [A,B] :
      ( ( l1_struct_0(A)
        & ~ v3_struct_0(B)
        & l1_waybel_0(B,A) )
     => ? [C] :
          ( m1_yellow_6(C,A,B)
          & ~ v3_struct_0(C)
          & v6_waybel_0(C,A)
          & v2_yellow_6(C,A,B) ) ) )).

fof(rc8_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ? [B] :
          ( l1_waybel_0(B,A)
          & ~ v3_struct_0(B)
          & v3_orders_2(B)
          & v6_waybel_0(B,A)
          & v7_waybel_0(B)
          & v1_yellow_6(B,A) ) ) )).

fof(fc16_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & v1_yellow_6(B,A)
        & l1_waybel_0(B,A) )
     => ( v1_relat_1(u1_waybel_0(A,B))
        & v1_funct_1(u1_waybel_0(A,B))
        & v1_funct_2(u1_waybel_0(A,B),u1_struct_0(B),u1_struct_0(A))
        & v5_seqm_3(u1_waybel_0(A,B)) ) ) )).

fof(fc17_yellow_6,axiom,(
    ! [A,B,C] :
      ( ( l1_struct_0(A)
        & v3_orders_2(B)
        & l1_waybel_0(B,A) )
     => ( v3_orders_2(k6_yellow_6(A,B,C))
        & v6_waybel_0(k6_yellow_6(A,B,C),A)
        & v2_yellow_6(k6_yellow_6(A,B,C),A,B) ) ) )).

fof(fc18_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ~ v1_xboole_0(k7_yellow_6(A)) ) )).

fof(cc3_yellow_6,axiom,(
    ! [A,B] :
      ( l1_struct_0(B)
     => ! [C] :
          ( m3_yellow_6(C,A,B)
         => v1_yellow_1(C) ) ) )).

fof(cc4_yellow_6,axiom,(
    ! [A,B] :
      ( ( l1_struct_0(A)
        & ~ v3_struct_0(B)
        & v3_orders_2(B)
        & v7_waybel_0(B)
        & l1_waybel_0(B,A) )
     => ! [C] :
          ( m3_yellow_6(C,u1_struct_0(B),A)
         => ( ~ v1_xboole_0(C)
            & v1_yellow_1(C)
            & v4_waybel_3(C) ) ) ) )).

fof(fc19_yellow_6,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & v3_orders_2(B)
        & v7_waybel_0(B)
        & l1_waybel_0(B,A)
        & m3_yellow_6(C,u1_struct_0(B),A) )
     => ( ~ v3_struct_0(k5_yellow_1(u1_struct_0(B),C))
        & v1_orders_2(k5_yellow_1(u1_struct_0(B),C))
        & v3_orders_2(k5_yellow_1(u1_struct_0(B),C))
        & v7_waybel_0(k5_yellow_1(u1_struct_0(B),C)) ) ) )).

fof(cc5_yellow_6,axiom,(
    ! [A,B] :
      ( l1_struct_0(B)
     => ! [C] :
          ( m3_yellow_6(C,A,B)
         => ( v1_yellow_1(C)
            & v4_waybel_3(C) ) ) ) )).

fof(rc9_yellow_6,axiom,(
    ! [A,B] :
      ( l1_struct_0(B)
     => ? [C] :
          ( m3_yellow_6(C,A,B)
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v2_pralg_1(C)
          & v1_yellow_1(C)
          & v4_waybel_3(C) ) ) )).

fof(fc20_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => ~ v3_struct_0(k10_yellow_6(A,B)) ) )).

fof(fc21_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => ( ~ v3_struct_0(k10_yellow_6(A,B))
        & v3_orders_2(k10_yellow_6(A,B))
        & v7_waybel_0(k10_yellow_6(A,B)) ) ) )).

fof(fc22_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v3_compts_1(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & v3_orders_2(B)
        & v7_waybel_0(B)
        & l1_waybel_0(B,A) )
     => v1_realset1(k11_yellow_6(A,B)) ) )).

fof(cc6_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( l1_waybel_0(B,A)
         => ( ( ~ v3_struct_0(B)
              & v3_orders_2(B)
              & v7_waybel_0(B)
              & v1_yellow_6(B,A) )
           => ( ~ v3_struct_0(B)
              & v3_orders_2(B)
              & v7_waybel_0(B)
              & v3_yellow_6(B,A) ) ) ) ) )).

fof(rc10_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ? [B] :
          ( l1_waybel_0(B,A)
          & ~ v3_struct_0(B)
          & v3_orders_2(B)
          & v6_waybel_0(B,A)
          & v7_waybel_0(B)
          & v3_yellow_6(B,A) ) ) )).

fof(cc7_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( m4_yellow_6(B,A)
         => v1_relat_1(B) ) ) )).

fof(fc23_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ( v1_relat_1(k13_yellow_6(A))
        & v4_yellow_6(k13_yellow_6(A),A)
        & v5_yellow_6(k13_yellow_6(A),A)
        & v6_yellow_6(k13_yellow_6(A),A)
        & v7_yellow_6(k13_yellow_6(A),A) ) ) )).

fof(fc24_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & m4_yellow_6(B,A) )
     => ( ~ v3_struct_0(k14_yellow_6(A,B))
        & v1_pre_topc(k14_yellow_6(A,B)) ) ) )).

fof(fc25_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & m4_yellow_6(B,A) )
     => ( ~ v3_struct_0(k14_yellow_6(A,B))
        & v1_pre_topc(k14_yellow_6(A,B))
        & v2_pre_topc(k14_yellow_6(A,B)) ) ) )).

fof(rc11_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ? [B] :
          ( m4_yellow_6(B,A)
          & ~ v1_xboole_0(B)
          & v1_relat_1(B)
          & v8_yellow_6(B,A) ) ) )).

fof(cc8_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( m4_yellow_6(B,A)
         => ( v8_yellow_6(B,A)
           => ( v1_relat_1(B)
              & v4_yellow_6(B,A)
              & v5_yellow_6(B,A)
              & v6_yellow_6(B,A)
              & v7_yellow_6(B,A) ) ) ) ) )).

fof(cc9_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( m4_yellow_6(B,A)
         => ( ( v4_yellow_6(B,A)
              & v5_yellow_6(B,A)
              & v6_yellow_6(B,A)
              & v7_yellow_6(B,A) )
           => ( v1_relat_1(B)
              & v8_yellow_6(B,A) ) ) ) ) )).

fof(d1_yellow_6,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ( v5_seqm_3(A)
       => ( v1_xboole_0(A)
          | ! [B] :
              ( B = k1_yellow_6(A)
            <=> ? [C] :
                  ( r2_hidden(C,k1_relat_1(A))
                  & B = k1_funct_1(A,C) ) ) ) ) ) )).

fof(t1_yellow_6,axiom,(
    $true )).

fof(t2_yellow_6,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] : k1_yellow_6(k2_pre_circ(A,B)) = B ) )).

fof(d2_yellow_6,axiom,(
    $true )).

fof(d3_yellow_6,axiom,(
    ! [A] : k2_yellow_6(A) = k1_classes1(k5_classes1(A)) )).

fof(t3_yellow_6,axiom,(
    $true )).

fof(t4_yellow_6,axiom,(
    $true )).

fof(t5_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_classes2(A) )
     => ! [B] :
          ( ( v1_relat_1(B)
            & v1_funct_1(B) )
         => ( ( r2_hidden(k1_relat_1(B),A)
              & r1_tarski(k2_relat_1(B),A) )
           => r2_hidden(k4_card_3(B),A) ) ) ) )).

fof(t6_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r2_hidden(C,k6_pre_topc(A,B))
              <=> ! [D] :
                    ( m1_connsp_2(D,A,C)
                   => ~ r1_xboole_0(D,B) ) ) ) ) ) )).

fof(t7_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => m2_connsp_2(k2_pre_topc(A),A,B) ) ) )).

fof(t8_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( m2_connsp_2(C,A,B)
             => r1_tarski(B,C) ) ) ) )).

fof(t9_yellow_6,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( v2_pralg_1(B)
            & m1_pboole(B,A) )
         => ! [C] :
              ( m1_subset_1(C,A)
             => k1_funct_1(k12_pralg_1(A,B),C) = u1_struct_0(k10_pralg_1(A,B,C)) ) ) ) )).

fof(d4_yellow_6,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v2_pralg_1(A) )
     => ( v4_waybel_3(A)
      <=> ! [B] :
            ( r2_hidden(B,k2_relat_1(A))
           => ( ~ v3_struct_0(B)
              & l1_struct_0(B) ) ) ) ) )).

fof(t10_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( ~ r2_hidden(C,B)
              <=> r2_hidden(C,k3_subset_1(u1_struct_0(A),B)) ) ) ) ) )).

fof(d5_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ( v7_waybel_0(A)
      <=> ! [B] :
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ? [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                    & r1_orders_2(A,B,D)
                    & r1_orders_2(A,C,D) ) ) ) ) ) )).

fof(t11_yellow_6,axiom,(
    ! [A] :
      ( l1_orders_2(A)
     => ! [B] :
          ( l1_orders_2(B)
         => k2_pre_topc(k3_yellow_3(A,B)) = k6_yellow_3(A,B,k2_pre_topc(A),k2_pre_topc(B)) ) ) )).

fof(t12_yellow_6,axiom,(
    ! [A] :
      ( l1_orders_2(A)
     => u1_struct_0(A) = u1_struct_0(k7_lattice3(A)) ) )).

fof(d6_yellow_6,axiom,(
    ! [A] :
      ( l1_struct_0(A)
     => ! [B] :
          ( l1_waybel_0(B,A)
         => ( v1_yellow_6(B,A)
          <=> v5_seqm_3(u1_waybel_0(A,B)) ) ) ) )).

fof(d7_yellow_6,axiom,(
    ! [A] :
      ( l1_orders_2(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_struct_0(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(B))
             => ! [D] :
                  ( ( v6_waybel_0(D,B)
                    & l1_waybel_0(D,B) )
                 => ( D = k4_yellow_6(A,B,C)
                  <=> ( g1_orders_2(u1_struct_0(D),u1_orders_2(D)) = g1_orders_2(u1_struct_0(A),u1_orders_2(A))
                      & u1_waybel_0(B,D) = k2_pre_circ(u1_struct_0(D),C) ) ) ) ) ) ) )).

fof(t13_yellow_6,axiom,(
    ! [A] :
      ( l1_orders_2(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_struct_0(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(B))
             => u1_struct_0(k4_yellow_6(A,B,C)) = u1_struct_0(A) ) ) ) )).

fof(t14_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_struct_0(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(B))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k4_yellow_6(A,B,C)))
                 => k3_waybel_0(B,k4_yellow_6(A,B,C),D) = C ) ) ) ) )).

fof(t15_yellow_6,axiom,(
    ! [A] :
      ( l1_orders_2(A)
     => ( v4_yellow_0(A,A)
        & m1_yellow_0(A,A) ) ) )).

fof(t16_yellow_6,axiom,(
    ! [A] :
      ( l1_orders_2(A)
     => ! [B] :
          ( m1_yellow_0(B,A)
         => ! [C] :
              ( m1_yellow_0(C,B)
             => m1_yellow_0(C,A) ) ) ) )).

fof(d8_yellow_6,axiom,(
    ! [A] :
      ( l1_struct_0(A)
     => ! [B] :
          ( l1_waybel_0(B,A)
         => ! [C] :
              ( l1_waybel_0(C,A)
             => ( m1_yellow_6(C,A,B)
              <=> ( m1_yellow_0(C,B)
                  & u1_waybel_0(A,C) = k8_relset_1(u1_struct_0(B),u1_struct_0(A),u1_waybel_0(A,B),u1_struct_0(C)) ) ) ) ) ) )).

fof(t17_yellow_6,axiom,(
    ! [A] :
      ( l1_struct_0(A)
     => ! [B] :
          ( l1_waybel_0(B,A)
         => m1_yellow_6(B,A,B) ) ) )).

fof(t18_yellow_6,axiom,(
    ! [A] :
      ( l1_struct_0(A)
     => ! [B] :
          ( l1_waybel_0(B,A)
         => ! [C] :
              ( m1_yellow_6(C,A,B)
             => ! [D] :
                  ( m1_yellow_6(D,A,C)
                 => m1_yellow_6(D,A,B) ) ) ) ) )).

fof(d9_yellow_6,axiom,(
    ! [A] :
      ( l1_struct_0(A)
     => ! [B] :
          ( l1_waybel_0(B,A)
         => ! [C] :
              ( m1_yellow_6(C,A,B)
             => ( v2_yellow_6(C,A,B)
              <=> ( v4_yellow_0(C,B)
                  & m1_yellow_0(C,B) ) ) ) ) ) )).

fof(t19_yellow_6,axiom,(
    ! [A] :
      ( l1_struct_0(A)
     => ! [B] :
          ( l1_waybel_0(B,A)
         => ! [C] :
              ( m1_yellow_6(C,A,B)
             => r1_tarski(u1_struct_0(C),u1_struct_0(B)) ) ) ) )).

fof(t20_yellow_6,axiom,(
    ! [A] :
      ( l1_struct_0(A)
     => ! [B] :
          ( l1_waybel_0(B,A)
         => ! [C] :
              ( m1_yellow_6(C,A,B)
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(B))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(C))
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(C))
                             => ( ( D = F
                                  & E = G
                                  & r1_orders_2(C,F,G) )
                               => r1_orders_2(B,D,E) ) ) ) ) ) ) ) ) )).

fof(t21_yellow_6,axiom,(
    ! [A] :
      ( l1_struct_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v2_yellow_6(C,A,B)
                & m1_yellow_6(C,A,B) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(B))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(C))
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(C))
                             => ( ( D = F
                                  & E = G
                                  & r1_orders_2(B,D,E) )
                               => r1_orders_2(C,F,G) ) ) ) ) ) ) ) ) )).

fof(d10_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( l1_waybel_0(B,A)
         => ( v1_yellow_6(B,A)
           => ( v3_struct_0(B)
              | k5_yellow_6(A,B) = k1_yellow_6(u1_waybel_0(A,B)) ) ) ) ) )).

fof(t22_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_struct_0(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(B))
             => k5_yellow_6(B,k4_yellow_6(A,B,C)) = C ) ) ) )).

fof(d11_yellow_6,axiom,(
    $true )).

fof(d12_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v3_orders_2(C)
                & v7_waybel_0(C)
                & l1_waybel_0(C,A) )
             => ( m2_yellow_6(C,A,B)
              <=> ? [D] :
                    ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B))
                    & m2_relset_1(D,u1_struct_0(C),u1_struct_0(B))
                    & u1_waybel_0(A,C) = k7_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(A),D,u1_waybel_0(A,B))
                    & ! [E] :
                        ( m1_subset_1(E,u1_struct_0(B))
                       => ? [F] :
                            ( m1_subset_1(F,u1_struct_0(C))
                            & ! [G] :
                                ( m1_subset_1(G,u1_struct_0(C))
                               => ( r1_orders_2(C,F,G)
                                 => r1_orders_2(B,E,k3_yellow_6(u1_struct_0(C),B,D,G)) ) ) ) ) ) ) ) ) ) )).

fof(t23_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => m2_yellow_6(B,A,B) ) ) )).

fof(t24_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v3_orders_2(C)
                & v7_waybel_0(C)
                & l1_waybel_0(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v3_orders_2(D)
                    & v7_waybel_0(D)
                    & l1_waybel_0(D,A) )
                 => ( ( m2_yellow_6(B,A,C)
                      & m2_yellow_6(C,A,D) )
                   => m2_yellow_6(B,A,D) ) ) ) ) ) )).

fof(t25_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & v1_yellow_6(B,A)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(B))
             => k3_waybel_0(A,B,C) = k5_yellow_6(A,B) ) ) ) )).

fof(t26_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C,D] :
              ~ ( r1_waybel_0(A,B,C)
                & r1_waybel_0(A,B,D)
                & r1_xboole_0(C,D) ) ) ) )).

fof(t27_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( m2_yellow_6(C,A,B)
             => ! [D] :
                  ( r2_waybel_0(A,C,D)
                 => r2_waybel_0(A,B,D) ) ) ) ) )).

fof(t28_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( r1_waybel_0(A,B,C)
             => r2_waybel_0(A,B,C) ) ) ) )).

fof(t29_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => r1_waybel_0(A,B,u1_struct_0(A)) ) ) )).

fof(d13_yellow_6,axiom,(
    ! [A] :
      ( l1_struct_0(A)
     => ! [B] :
          ( l1_waybel_0(B,A)
         => ! [C,D] :
              ( ( v6_waybel_0(D,A)
                & m1_yellow_6(D,A,B) )
             => ( D = k6_yellow_6(A,B,C)
              <=> ( v4_yellow_0(D,B)
                  & m1_yellow_0(D,B)
                  & u1_struct_0(D) = k5_pre_topc(B,A,u1_waybel_0(A,B),C) ) ) ) ) ) )).

fof(t30_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( r2_waybel_0(A,B,C)
             => ( ~ v3_struct_0(k6_yellow_6(A,B,C))
                & v7_waybel_0(k6_yellow_6(A,B,C)) ) ) ) ) )).

fof(t31_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( r2_waybel_0(A,B,C)
             => m2_yellow_6(k6_yellow_6(A,B,C),A,B) ) ) ) )).

fof(t32_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C,D] :
              ( m2_yellow_6(D,A,B)
             => ( D = k6_yellow_6(A,B,C)
               => r1_waybel_0(A,D,C) ) ) ) ) )).

fof(d14_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( B = k7_yellow_6(A)
        <=> ! [C] :
              ( r2_hidden(C,B)
            <=> ? [D] :
                  ( ~ v3_struct_0(D)
                  & v3_orders_2(D)
                  & v6_waybel_0(D,A)
                  & v7_waybel_0(D)
                  & l1_waybel_0(D,A)
                  & D = C
                  & r2_hidden(u1_struct_0(D),k2_yellow_6(u1_struct_0(A))) ) ) ) ) )).

fof(d15_yellow_6,axiom,(
    ! [A,B] :
      ( l1_struct_0(B)
     => ! [C] :
          ( m1_pboole(C,A)
         => ( m3_yellow_6(C,A,B)
          <=> ! [D] :
                ( r2_hidden(D,k2_relat_1(C))
               => ( ~ v3_struct_0(D)
                  & v3_orders_2(D)
                  & v7_waybel_0(D)
                  & l1_waybel_0(D,B) ) ) ) ) ) )).

fof(t33_yellow_6,axiom,(
    ! [A,B] :
      ( l1_struct_0(B)
     => ! [C] :
          ( m1_pboole(C,A)
         => ( m3_yellow_6(C,A,B)
          <=> ! [D] :
                ( r2_hidden(D,A)
               => ( ~ v3_struct_0(k1_funct_1(C,D))
                  & v3_orders_2(k1_funct_1(C,D))
                  & v7_waybel_0(k1_funct_1(C,D))
                  & l1_waybel_0(k1_funct_1(C,D),B) ) ) ) ) ) )).

fof(d16_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( m3_yellow_6(C,u1_struct_0(B),A)
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v3_orders_2(D)
                    & v6_waybel_0(D,A)
                    & v7_waybel_0(D)
                    & l1_waybel_0(D,A) )
                 => ( D = k9_yellow_6(A,B,C)
                  <=> ( g1_orders_2(u1_struct_0(D),u1_orders_2(D)) = k3_yellow_3(B,k5_yellow_1(u1_struct_0(B),C))
                      & ! [E] :
                          ( m1_subset_1(E,u1_struct_0(B))
                         => ! [F] :
                              ( ( v1_relat_1(F)
                                & v1_funct_1(F) )
                             => ( ( r2_hidden(E,u1_struct_0(B))
                                  & r2_hidden(F,u1_struct_0(k5_yellow_1(u1_struct_0(B),C))) )
                               => k1_binop_1(u1_waybel_0(A,D),E,F) = k1_funct_1(u1_waybel_0(A,k8_yellow_6(u1_struct_0(B),A,C,E)),k1_funct_1(F,E)) ) ) ) ) ) ) ) ) ) )).

fof(t34_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( m3_yellow_6(C,u1_struct_0(B),A)
             => ( ( r2_hidden(B,k7_yellow_6(A))
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(B))
                     => r2_hidden(k8_yellow_6(u1_struct_0(B),A,C,D),k7_yellow_6(A)) ) )
               => r2_hidden(k9_yellow_6(A,B,C),k7_yellow_6(A)) ) ) ) ) )).

fof(t35_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( m3_yellow_6(C,u1_struct_0(B),A)
             => u1_struct_0(k9_yellow_6(A,B,C)) = k2_zfmisc_1(u1_struct_0(B),k4_card_3(k12_pralg_1(u1_struct_0(B),C))) ) ) ) )).

fof(t36_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( m3_yellow_6(C,u1_struct_0(B),A)
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k5_yellow_1(u1_struct_0(B),C)))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(k9_yellow_6(A,B,C)))
                         => ( F = k7_yellow_3(B,k5_yellow_1(u1_struct_0(B),C),D,E)
                           => k3_waybel_0(A,k9_yellow_6(A,B,C),F) = k1_waybel_0(k3_waybel_3(u1_struct_0(B),C,D),A,u1_waybel_0(A,k8_yellow_6(u1_struct_0(B),A,C,D)),k4_waybel_3(u1_struct_0(B),C,E,D)) ) ) ) ) ) ) ) )).

fof(t38_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k10_yellow_6(A,B)))
             => ? [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                  & D = C
                  & r2_hidden(B,D)
                  & v3_pre_topc(D,A) ) ) ) ) )).

fof(t39_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ( r2_hidden(C,u1_struct_0(k10_yellow_6(A,B)))
              <=> ( r2_hidden(B,C)
                  & v3_pre_topc(C,A) ) ) ) ) ) )).

fof(t40_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k10_yellow_6(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k10_yellow_6(A,B)))
                 => ( r1_orders_2(k10_yellow_6(A,B),C,D)
                  <=> r1_tarski(D,C) ) ) ) ) ) )).

fof(d18_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ( C = k11_yellow_6(A,B)
              <=> ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( r2_hidden(D,C)
                    <=> ! [E] :
                          ( m1_connsp_2(E,A,D)
                         => r1_waybel_0(A,B,E) ) ) ) ) ) ) ) )).

fof(t41_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( m2_yellow_6(C,A,B)
             => r1_tarski(k11_yellow_6(A,B),k11_yellow_6(A,C)) ) ) ) )).

fof(t42_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & v1_yellow_6(B,A)
            & l1_waybel_0(B,A) )
         => r2_hidden(k5_yellow_6(A,B),k11_yellow_6(A,B)) ) ) )).

fof(t44_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ( v3_compts_1(A)
      <=> ! [B] :
            ( ( ~ v3_struct_0(B)
              & v3_orders_2(B)
              & v7_waybel_0(B)
              & l1_waybel_0(B,A) )
           => ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( ( r2_hidden(C,k11_yellow_6(A,B))
                        & r2_hidden(D,k11_yellow_6(A,B)) )
                     => C = D ) ) ) ) ) ) )).

fof(d19_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ( v3_yellow_6(B,A)
          <=> k11_yellow_6(A,B) != k1_xboole_0 ) ) ) )).

fof(d20_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v3_compts_1(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & v3_yellow_6(B,A)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( C = k12_yellow_6(A,B)
              <=> r2_hidden(C,k11_yellow_6(A,B)) ) ) ) ) )).

fof(t45_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v3_compts_1(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & v1_yellow_6(B,A)
            & l1_waybel_0(B,A) )
         => k12_yellow_6(A,B) = k5_yellow_6(A,B) ) ) )).

fof(t46_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ~ ( ~ r2_hidden(C,k11_yellow_6(A,B))
                  & ! [D] :
                      ( m2_yellow_6(D,A,B)
                     => ? [E] :
                          ( m2_yellow_6(E,A,D)
                          & r2_hidden(C,k11_yellow_6(A,E)) ) ) ) ) ) ) )).

fof(t47_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ( r2_hidden(B,k7_yellow_6(A))
           => ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ~ ( ~ r2_hidden(C,k11_yellow_6(A,B))
                    & ! [D] :
                        ( m2_yellow_6(D,A,B)
                       => ~ ( r2_hidden(D,k7_yellow_6(A))
                            & ! [E] :
                                ( m2_yellow_6(E,A,D)
                               => ~ r2_hidden(C,k11_yellow_6(A,E)) ) ) ) ) ) ) ) ) )).

fof(t48_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r2_hidden(C,k11_yellow_6(A,B))
               => ! [D] :
                    ( m3_yellow_6(D,u1_struct_0(B),A)
                   => ( ! [E] :
                          ( m1_subset_1(E,u1_struct_0(B))
                         => r2_hidden(k3_waybel_0(A,B,E),k11_yellow_6(A,k8_yellow_6(u1_struct_0(B),A,D,E))) )
                     => r2_hidden(C,k11_yellow_6(A,k9_yellow_6(A,B,D))) ) ) ) ) ) ) )).

fof(d21_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( m4_yellow_6(B,A)
        <=> r1_tarski(B,k2_zfmisc_1(k7_yellow_6(A),u1_struct_0(A))) ) ) )).

fof(d22_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m4_yellow_6(B,A)
         => ( B = k13_yellow_6(A)
          <=> ! [C] :
                ( ( ~ v3_struct_0(C)
                  & v3_orders_2(C)
                  & v7_waybel_0(C)
                  & l1_waybel_0(C,A) )
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( r2_hidden(k4_tarski(C,D),B)
                    <=> ( r2_hidden(C,k7_yellow_6(A))
                        & r2_hidden(D,k11_yellow_6(A,C)) ) ) ) ) ) ) ) )).

fof(d23_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( m4_yellow_6(B,A)
         => ( v4_yellow_6(B,A)
          <=> ! [C] :
                ( ( ~ v3_struct_0(C)
                  & v3_orders_2(C)
                  & v7_waybel_0(C)
                  & v1_yellow_6(C,A)
                  & l1_waybel_0(C,A) )
               => ( r2_hidden(C,k7_yellow_6(A))
                 => r2_hidden(k4_tarski(C,k5_yellow_6(A,C)),B) ) ) ) ) ) )).

fof(d24_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( m4_yellow_6(B,A)
         => ( v5_yellow_6(B,A)
          <=> ! [C] :
                ( ( ~ v3_struct_0(C)
                  & v3_orders_2(C)
                  & v7_waybel_0(C)
                  & l1_waybel_0(C,A) )
               => ! [D] :
                    ( m2_yellow_6(D,A,C)
                   => ( r2_hidden(D,k7_yellow_6(A))
                     => ! [E] :
                          ( m1_subset_1(E,u1_struct_0(A))
                         => ( r2_hidden(k4_tarski(C,E),B)
                           => r2_hidden(k4_tarski(D,E),B) ) ) ) ) ) ) ) ) )).

fof(d25_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( m4_yellow_6(B,A)
         => ( v6_yellow_6(B,A)
          <=> ! [C] :
                ( ( ~ v3_struct_0(C)
                  & v3_orders_2(C)
                  & v7_waybel_0(C)
                  & l1_waybel_0(C,A) )
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ~ ( r2_hidden(C,k7_yellow_6(A))
                        & ~ r2_hidden(k4_tarski(C,D),B)
                        & ! [E] :
                            ( m2_yellow_6(E,A,C)
                           => ~ ( r2_hidden(E,k7_yellow_6(A))
                                & ! [F] :
                                    ( m2_yellow_6(F,A,E)
                                   => ~ r2_hidden(k4_tarski(F,D),B) ) ) ) ) ) ) ) ) ) )).

fof(d26_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( m4_yellow_6(B,A)
         => ( v7_yellow_6(B,A)
          <=> ! [C] :
                ( ( ~ v3_struct_0(C)
                  & v3_orders_2(C)
                  & v7_waybel_0(C)
                  & l1_waybel_0(C,A) )
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( r2_hidden(k4_tarski(C,D),B)
                     => ! [E] :
                          ( m3_yellow_6(E,u1_struct_0(C),A)
                         => ( ! [F] :
                                ( m1_subset_1(F,u1_struct_0(C))
                               => r2_hidden(k4_tarski(k8_yellow_6(u1_struct_0(C),A,E,F),k3_waybel_0(A,C,F)),B) )
                           => r2_hidden(k4_tarski(k9_yellow_6(A,C,E),D),B) ) ) ) ) ) ) ) ) )).

fof(t49_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( m4_yellow_6(B,A)
         => r1_tarski(B,k13_yellow_6(k14_yellow_6(A,B))) ) ) )).

fof(d28_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( m4_yellow_6(B,A)
         => ( v8_yellow_6(B,A)
          <=> ( v4_yellow_6(B,A)
              & v5_yellow_6(B,A)
              & v6_yellow_6(B,A)
              & v7_yellow_6(B,A) ) ) ) ) )).

fof(t50_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( v8_yellow_6(B,A)
            & m4_yellow_6(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k14_yellow_6(A,B))))
             => ( v3_pre_topc(C,k14_yellow_6(A,B))
              <=> ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( r2_hidden(D,C)
                     => ! [E] :
                          ( ( ~ v3_struct_0(E)
                            & v3_orders_2(E)
                            & v7_waybel_0(E)
                            & l1_waybel_0(E,A) )
                         => ( r2_hidden(k4_tarski(E,D),B)
                           => r1_waybel_0(A,E,C) ) ) ) ) ) ) ) ) )).

fof(t51_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( v8_yellow_6(B,A)
            & m4_yellow_6(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k14_yellow_6(A,B))))
             => ( v4_pre_topc(C,k14_yellow_6(A,B))
              <=> ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] :
                        ( ( ~ v3_struct_0(E)
                          & v3_orders_2(E)
                          & v7_waybel_0(E)
                          & l1_waybel_0(E,A) )
                       => ( ( r2_hidden(k4_tarski(E,D),B)
                            & r2_waybel_0(A,E,C) )
                         => r2_hidden(D,C) ) ) ) ) ) ) ) )).

fof(t52_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( v8_yellow_6(B,A)
            & m4_yellow_6(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k14_yellow_6(A,B))))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k14_yellow_6(A,B)))
                 => ~ ( r2_hidden(D,k6_pre_topc(k14_yellow_6(A,B),C))
                      & ! [E] :
                          ( ( ~ v3_struct_0(E)
                            & v3_orders_2(E)
                            & v7_waybel_0(E)
                            & l1_waybel_0(E,k14_yellow_6(A,B)) )
                         => ~ ( r2_hidden(k4_tarski(E,D),B)
                              & r1_tarski(k2_relat_1(u1_waybel_0(k14_yellow_6(A,B),E)),C)
                              & r2_hidden(D,k11_yellow_6(k14_yellow_6(A,B),E)) ) ) ) ) ) ) ) )).

fof(t53_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( m4_yellow_6(B,A)
         => ( k13_yellow_6(k14_yellow_6(A,B)) = B
          <=> v8_yellow_6(B,A) ) ) ) )).

fof(dt_m1_yellow_6,axiom,(
    ! [A,B] :
      ( ( l1_struct_0(A)
        & l1_waybel_0(B,A) )
     => ! [C] :
          ( m1_yellow_6(C,A,B)
         => l1_waybel_0(C,A) ) ) )).

fof(existence_m1_yellow_6,axiom,(
    ! [A,B] :
      ( ( l1_struct_0(A)
        & l1_waybel_0(B,A) )
     => ? [C] : m1_yellow_6(C,A,B) ) )).

fof(dt_m2_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & v3_orders_2(B)
        & v7_waybel_0(B)
        & l1_waybel_0(B,A) )
     => ! [C] :
          ( m2_yellow_6(C,A,B)
         => ( ~ v3_struct_0(C)
            & v3_orders_2(C)
            & v7_waybel_0(C)
            & l1_waybel_0(C,A) ) ) ) )).

fof(existence_m2_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & v3_orders_2(B)
        & v7_waybel_0(B)
        & l1_waybel_0(B,A) )
     => ? [C] : m2_yellow_6(C,A,B) ) )).

fof(dt_m3_yellow_6,axiom,(
    ! [A,B] :
      ( l1_struct_0(B)
     => ! [C] :
          ( m3_yellow_6(C,A,B)
         => m1_pboole(C,A) ) ) )).

fof(existence_m3_yellow_6,axiom,(
    ! [A,B] :
      ( l1_struct_0(B)
     => ? [C] : m3_yellow_6(C,A,B) ) )).

fof(dt_m4_yellow_6,axiom,(
    $true )).

fof(existence_m4_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ? [B] : m4_yellow_6(B,A) ) )).

fof(dt_k1_yellow_6,axiom,(
    $true )).

fof(dt_k2_yellow_6,axiom,(
    $true )).

fof(dt_k3_yellow_6,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & l1_orders_2(B)
        & v1_funct_1(C)
        & v1_funct_2(C,A,u1_struct_0(B))
        & m1_relset_1(C,A,u1_struct_0(B))
        & m1_subset_1(D,A) )
     => m1_subset_1(k3_yellow_6(A,B,C,D),u1_struct_0(B)) ) )).

fof(redefinition_k3_yellow_6,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & l1_orders_2(B)
        & v1_funct_1(C)
        & v1_funct_2(C,A,u1_struct_0(B))
        & m1_relset_1(C,A,u1_struct_0(B))
        & m1_subset_1(D,A) )
     => k3_yellow_6(A,B,C,D) = k1_funct_1(C,D) ) )).

fof(dt_k4_yellow_6,axiom,(
    ! [A,B,C] :
      ( ( l1_orders_2(A)
        & ~ v3_struct_0(B)
        & l1_struct_0(B)
        & m1_subset_1(C,u1_struct_0(B)) )
     => ( v6_waybel_0(k4_yellow_6(A,B,C),B)
        & l1_waybel_0(k4_yellow_6(A,B,C),B) ) ) )).

fof(dt_k5_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & l1_waybel_0(B,A) )
     => m1_subset_1(k5_yellow_6(A,B),u1_struct_0(A)) ) )).

fof(dt_k6_yellow_6,axiom,(
    ! [A,B,C] :
      ( ( l1_struct_0(A)
        & l1_waybel_0(B,A) )
     => ( v6_waybel_0(k6_yellow_6(A,B,C),A)
        & m1_yellow_6(k6_yellow_6(A,B,C),A,B) ) ) )).

fof(dt_k7_yellow_6,axiom,(
    $true )).

fof(dt_k8_yellow_6,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & l1_struct_0(B)
        & m3_yellow_6(C,A,B)
        & m1_subset_1(D,A) )
     => ( ~ v3_struct_0(k8_yellow_6(A,B,C,D))
        & v3_orders_2(k8_yellow_6(A,B,C,D))
        & v7_waybel_0(k8_yellow_6(A,B,C,D))
        & l1_waybel_0(k8_yellow_6(A,B,C,D),B) ) ) )).

fof(redefinition_k8_yellow_6,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & l1_struct_0(B)
        & m3_yellow_6(C,A,B)
        & m1_subset_1(D,A) )
     => k8_yellow_6(A,B,C,D) = k1_funct_1(C,D) ) )).

fof(dt_k9_yellow_6,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & v3_orders_2(B)
        & v7_waybel_0(B)
        & l1_waybel_0(B,A)
        & m3_yellow_6(C,u1_struct_0(B),A) )
     => ( ~ v3_struct_0(k9_yellow_6(A,B,C))
        & v3_orders_2(k9_yellow_6(A,B,C))
        & v6_waybel_0(k9_yellow_6(A,B,C),A)
        & v7_waybel_0(k9_yellow_6(A,B,C))
        & l1_waybel_0(k9_yellow_6(A,B,C),A) ) ) )).

fof(dt_k10_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => l1_orders_2(k10_yellow_6(A,B)) ) )).

fof(dt_k11_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & v3_orders_2(B)
        & v7_waybel_0(B)
        & l1_waybel_0(B,A) )
     => m1_subset_1(k11_yellow_6(A,B),k1_zfmisc_1(u1_struct_0(A))) ) )).

fof(dt_k12_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v3_compts_1(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & v3_orders_2(B)
        & v7_waybel_0(B)
        & v3_yellow_6(B,A)
        & l1_waybel_0(B,A) )
     => m1_subset_1(k12_yellow_6(A,B),u1_struct_0(A)) ) )).

fof(dt_k13_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => m4_yellow_6(k13_yellow_6(A),A) ) )).

fof(dt_k14_yellow_6,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & m4_yellow_6(B,A) )
     => ( v1_pre_topc(k14_yellow_6(A,B))
        & l1_pre_topc(k14_yellow_6(A,B)) ) ) )).

fof(t37_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( m3_yellow_6(C,u1_struct_0(B),A)
             => r1_tarski(k2_relat_1(u1_waybel_0(A,k9_yellow_6(A,B,C))),k3_tarski(a_3_0_yellow_6(A,B,C))) ) ) ) )).

fof(d17_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k10_yellow_6(A,B) = k7_lattice3(k2_yellow_1(a_2_0_yellow_6(A,B))) ) ) )).

fof(t43_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r2_hidden(C,k11_yellow_6(A,B))
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(B))
                   => ? [E] :
                        ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))
                        & E = a_3_1_yellow_6(A,B,D)
                        & r2_hidden(C,k6_pre_topc(A,E)) ) ) ) ) ) ) )).

fof(d27_yellow_6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( m4_yellow_6(B,A)
         => ! [C] :
              ( ( v1_pre_topc(C)
                & l1_pre_topc(C) )
             => ( C = k14_yellow_6(A,B)
              <=> ( u1_struct_0(C) = u1_struct_0(A)
                  & u1_pre_topc(C) = a_2_1_yellow_6(A,B) ) ) ) ) ) )).

fof(fraenkel_a_3_0_yellow_6,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(B)
        & l1_struct_0(B)
        & ~ v3_struct_0(C)
        & v3_orders_2(C)
        & v7_waybel_0(C)
        & l1_waybel_0(C,B)
        & m3_yellow_6(D,u1_struct_0(C),B) )
     => ( r2_hidden(A,a_3_0_yellow_6(B,C,D))
      <=> ? [E] :
            ( m1_subset_1(E,u1_struct_0(C))
            & A = k2_relat_1(u1_waybel_0(B,k8_yellow_6(u1_struct_0(C),B,D,E))) ) ) ) )).

fof(fraenkel_a_2_0_yellow_6,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & l1_pre_topc(B)
        & m1_subset_1(C,u1_struct_0(B)) )
     => ( r2_hidden(A,a_2_0_yellow_6(B,C))
      <=> ? [D] :
            ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
            & A = D
            & r2_hidden(C,D)
            & v3_pre_topc(D,B) ) ) ) )).

fof(fraenkel_a_3_1_yellow_6,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & l1_pre_topc(B)
        & ~ v3_struct_0(C)
        & v3_orders_2(C)
        & v7_waybel_0(C)
        & l1_waybel_0(C,B)
        & m1_subset_1(D,u1_struct_0(C)) )
     => ( r2_hidden(A,a_3_1_yellow_6(B,C,D))
      <=> ? [E] :
            ( m1_subset_1(E,u1_struct_0(C))
            & A = k3_waybel_0(B,C,E)
            & r1_orders_2(C,D,E) ) ) ) )).

fof(fraenkel_a_2_1_yellow_6,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(B)
        & l1_struct_0(B)
        & m4_yellow_6(C,B) )
     => ( r2_hidden(A,a_2_1_yellow_6(B,C))
      <=> ? [D] :
            ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
            & A = D
            & ! [E] :
                ( m1_subset_1(E,u1_struct_0(B))
               => ( r2_hidden(E,D)
                 => ! [F] :
                      ( ( ~ v3_struct_0(F)
                        & v3_orders_2(F)
                        & v7_waybel_0(F)
                        & l1_waybel_0(F,B) )
                     => ( r2_hidden(k4_tarski(F,E),C)
                       => r1_waybel_0(B,F,D) ) ) ) ) ) ) ) )).
%------------------------------------------------------------------------------