SET007 Axioms: SET007+497.ax


%------------------------------------------------------------------------------
% File     : SET007+497 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Prime Ideals and Filters
% 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    : waybel_7 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :   68 (   5 unit)
%            Number of atoms       :  826 (  11 equality)
%            Maximal formula depth :   21 (  11 average)
%            Number of connectives :  877 ( 119 ~  ;   4  |; 535  &)
%                                         (  32 <=>; 187 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   60 (   1 propositional; 0-3 arity)
%            Number of functors    :   35 (   1 constant; 0-4 arity)
%            Number of variables   :  195 (   0 singleton; 186 !;   9 ?)
%            Maximal term depth    :    6 (   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(fc1_waybel_7,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))
      & v24_waybel_0(k3_yellow_1(A))
      & v25_waybel_0(k3_yellow_1(A))
      & ~ v1_yellow_3(k3_yellow_1(A))
      & v2_waybel_1(k3_yellow_1(A))
      & v9_waybel_1(k3_yellow_1(A))
      & v10_waybel_1(k3_yellow_1(A))
      & v11_waybel_1(k3_yellow_1(A))
      & v1_lattice3(k3_yellow_1(A))
      & v2_lattice3(k3_yellow_1(A))
      & v3_lattice3(k3_yellow_1(A)) ) )).

fof(fc2_waybel_7,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ( ~ v3_struct_0(k3_yellow_1(A))
        & ~ v3_realset2(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))
        & v24_waybel_0(k3_yellow_1(A))
        & v25_waybel_0(k3_yellow_1(A))
        & ~ v1_yellow_3(k3_yellow_1(A))
        & v2_waybel_1(k3_yellow_1(A))
        & v9_waybel_1(k3_yellow_1(A))
        & v10_waybel_1(k3_yellow_1(A))
        & v11_waybel_1(k3_yellow_1(A))
        & v1_lattice3(k3_yellow_1(A))
        & v2_lattice3(k3_yellow_1(A))
        & v3_lattice3(k3_yellow_1(A)) ) ) )).

fof(rc1_waybel_7,axiom,(
    ? [A] :
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & ~ v3_realset2(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_yellow_0(A)
      & v2_yellow_0(A)
      & v3_yellow_0(A)
      & ~ v1_yellow_3(A)
      & v2_waybel_1(A)
      & v9_waybel_1(A)
      & v10_waybel_1(A)
      & v11_waybel_1(A)
      & v1_lattice3(A)
      & v2_lattice3(A) ) )).

fof(rc2_waybel_7,axiom,(
    ! [A] :
    ? [B] :
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
      & ~ v1_xboole_0(B)
      & v1_finset_1(B) ) )).

fof(rc3_waybel_7,axiom,(
    ! [A] :
      ( l1_struct_0(A)
     => ? [B] :
          ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
          & ~ v1_xboole_0(B)
          & v1_finset_1(B) ) ) )).

fof(rc4_waybel_7,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_yellow_0(A)
        & l1_orders_2(A) )
     => ? [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & ~ v1_xboole_0(B)
          & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A)))
          & v2_waybel_0(B,A)
          & v13_waybel_0(B,A) ) ) )).

fof(rc5_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ? [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & ~ v1_xboole_0(B)
          & v1_waybel_0(B,A)
          & v12_waybel_0(B,A)
          & v1_waybel_7(B,A) ) ) )).

fof(rc6_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ? [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & ~ v1_xboole_0(B)
          & v2_waybel_0(B,A)
          & v13_waybel_0(B,A)
          & v2_waybel_7(B,A) ) ) )).

fof(cc1_waybel_7,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( ( ~ v1_xboole_0(B)
              & v2_waybel_0(B,A)
              & v13_waybel_0(B,A)
              & v3_waybel_7(B,A) )
           => ( ~ v1_xboole_0(B)
              & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A)))
              & v2_waybel_0(B,A)
              & v13_waybel_0(B,A) ) ) ) ) )).

fof(rc7_waybel_7,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ? [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_1(A))))
          & ~ v1_xboole_0(B)
          & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(k3_yellow_1(A))))
          & v2_waybel_0(B,k3_yellow_1(A))
          & v13_waybel_0(B,k3_yellow_1(A))
          & v3_waybel_7(B,k3_yellow_1(A)) ) ) )).

fof(fc3_waybel_7,axiom,(
    ! [A,B,C] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & l1_orders_2(A)
        & v5_waybel_4(B,A)
        & m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => v13_waybel_0(k6_waybel_4(A,C,B),A) ) )).

fof(t1_waybel_7,axiom,(
    $true )).

fof(t2_waybel_7,axiom,(
    $true )).

fof(t3_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_lattice3(A)
        & l1_orders_2(A) )
     => ! [B,C] :
          ( r1_tarski(B,C)
         => ( r3_orders_2(A,k1_yellow_0(A,B),k1_yellow_0(A,C))
            & r1_orders_2(A,k2_yellow_0(A,C),k2_yellow_0(A,B)) ) ) ) )).

fof(t4_waybel_7,axiom,(
    ! [A] : u1_struct_0(k3_yellow_1(A)) = k1_zfmisc_1(A) )).

fof(t5_waybel_7,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_orders_2(A)
        & v3_yellow_0(A)
        & l1_orders_2(A) )
     => ( v3_realset2(A)
      <=> k4_yellow_0(A) = k3_yellow_0(A) ) ) )).

fof(t6_waybel_7,axiom,(
    $true )).

fof(t7_waybel_7,axiom,(
    $true )).

fof(t8_waybel_7,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v2_waybel_0(B,A)
            & v13_waybel_0(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ( v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A)))
          <=> ~ r2_hidden(k3_yellow_0(A),B) ) ) ) )).

fof(t9_waybel_7,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,u1_struct_0(k3_yellow_1(A)))
     => k7_waybel_1(k3_yellow_1(A),B) = k4_xboole_0(A,B) ) )).

fof(t10_waybel_7,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_1(A))))
     => ( v12_waybel_0(B,k3_yellow_1(A))
      <=> ! [C,D] :
            ( ( r1_tarski(C,D)
              & r2_hidden(D,B) )
           => r2_hidden(C,B) ) ) ) )).

fof(t11_waybel_7,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_1(A))))
     => ( v13_waybel_0(B,k3_yellow_1(A))
      <=> ! [C,D] :
            ( ( r1_tarski(C,D)
              & r1_tarski(D,A)
              & r2_hidden(C,B) )
           => r2_hidden(D,B) ) ) ) )).

fof(t12_waybel_7,axiom,(
    ! [A,B] :
      ( ( v12_waybel_0(B,k3_yellow_1(A))
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_1(A)))) )
     => ( v1_waybel_0(B,k3_yellow_1(A))
      <=> ! [C,D] :
            ( ( r2_hidden(C,B)
              & r2_hidden(D,B) )
           => r2_hidden(k2_xboole_0(C,D),B) ) ) ) )).

fof(t13_waybel_7,axiom,(
    ! [A,B] :
      ( ( v13_waybel_0(B,k3_yellow_1(A))
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_1(A)))) )
     => ( v2_waybel_0(B,k3_yellow_1(A))
      <=> ! [C,D] :
            ( ( r2_hidden(C,B)
              & r2_hidden(D,B) )
           => r2_hidden(k3_xboole_0(C,D),B) ) ) ) )).

fof(t14_waybel_7,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(B)
        & v12_waybel_0(B,k3_yellow_1(A))
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_1(A)))) )
     => ( v1_waybel_0(B,k3_yellow_1(A))
      <=> ! [C] :
            ( ( v1_finset_1(C)
              & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) )
           => ( r1_tarski(C,B)
             => r2_hidden(k5_setfam_1(A,C),B) ) ) ) ) )).

fof(t15_waybel_7,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(B)
        & v13_waybel_0(B,k3_yellow_1(A))
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_1(A)))) )
     => ( v2_waybel_0(B,k3_yellow_1(A))
      <=> ! [C] :
            ( ( v1_finset_1(C)
              & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) )
           => ( r1_tarski(C,B)
             => r2_hidden(k8_setfam_1(A,C),B) ) ) ) ) )).

fof(d1_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v1_waybel_0(B,A)
            & v12_waybel_0(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ( v1_waybel_7(B,A)
          <=> ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ~ ( r2_hidden(k12_lattice3(A,C,D),B)
                        & ~ r2_hidden(C,B)
                        & ~ r2_hidden(D,B) ) ) ) ) ) ) )).

fof(t16_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v1_waybel_0(B,A)
            & v12_waybel_0(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ( v1_waybel_7(B,A)
          <=> ! [C] :
                ( ( ~ v1_xboole_0(C)
                  & v1_finset_1(C)
                  & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
               => ~ ( r2_hidden(k2_yellow_0(A,C),B)
                    & ! [D] :
                        ( m1_subset_1(D,u1_struct_0(A))
                       => ~ ( r2_hidden(D,C)
                            & r2_hidden(D,B) ) ) ) ) ) ) ) )).

fof(t17_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v1_lattice3(B)
            & v2_lattice3(B)
            & l1_orders_2(B) )
         => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B))
           => ! [C] :
                ( ( ~ v1_xboole_0(C)
                  & v1_waybel_0(C,A)
                  & v12_waybel_0(C,A)
                  & v1_waybel_7(C,A)
                  & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
               => ( ~ v1_xboole_0(C)
                  & v1_waybel_0(C,B)
                  & v12_waybel_0(C,B)
                  & v1_waybel_7(C,B)
                  & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) )).

fof(d2_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v2_waybel_0(B,A)
            & v13_waybel_0(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ( v2_waybel_7(B,A)
          <=> ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ~ ( r2_hidden(k13_lattice3(A,C,D),B)
                        & ~ r2_hidden(C,B)
                        & ~ r2_hidden(D,B) ) ) ) ) ) ) )).

fof(t18_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v2_waybel_0(B,A)
            & v13_waybel_0(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ( v2_waybel_7(B,A)
          <=> ! [C] :
                ( ( ~ v1_xboole_0(C)
                  & v1_finset_1(C)
                  & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
               => ~ ( r2_hidden(k1_yellow_0(A,C),B)
                    & ! [D] :
                        ( m1_subset_1(D,u1_struct_0(A))
                       => ~ ( r2_hidden(D,C)
                            & r2_hidden(D,B) ) ) ) ) ) ) ) )).

fof(t19_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v1_lattice3(B)
            & v2_lattice3(B)
            & l1_orders_2(B) )
         => ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B))
           => ! [C] :
                ( ( ~ v1_xboole_0(C)
                  & v2_waybel_0(C,A)
                  & v13_waybel_0(C,A)
                  & v2_waybel_7(C,A)
                  & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
               => ( ~ v1_xboole_0(C)
                  & v2_waybel_0(C,B)
                  & v13_waybel_0(C,B)
                  & v2_waybel_7(C,B)
                  & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) ) ) ) )).

fof(t20_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v1_waybel_0(B,A)
            & v12_waybel_0(B,A)
            & v1_waybel_7(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
        <=> ( ~ v1_xboole_0(B)
            & v2_waybel_0(B,k7_lattice3(A))
            & v13_waybel_0(B,k7_lattice3(A))
            & v2_waybel_7(B,k7_lattice3(A))
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k7_lattice3(A)))) ) ) ) )).

fof(t21_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v2_waybel_0(B,A)
            & v13_waybel_0(B,A)
            & v2_waybel_7(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
        <=> ( ~ v1_xboole_0(B)
            & v1_waybel_0(B,k7_lattice3(A))
            & v12_waybel_0(B,k7_lattice3(A))
            & v1_waybel_7(B,k7_lattice3(A))
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k7_lattice3(A)))) ) ) ) )).

fof(t22_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v1_waybel_0(B,A)
            & v12_waybel_0(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ( v1_waybel_7(B,A)
          <=> ( ( ~ v1_xboole_0(k3_subset_1(u1_struct_0(A),B))
                & v2_waybel_0(k3_subset_1(u1_struct_0(A),B),A)
                & v13_waybel_0(k3_subset_1(u1_struct_0(A),B),A)
                & m1_subset_1(k3_subset_1(u1_struct_0(A),B),k1_zfmisc_1(u1_struct_0(A))) )
              | k3_subset_1(u1_struct_0(A),B) = k1_xboole_0 ) ) ) ) )).

fof(t23_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v1_waybel_0(B,A)
            & v12_waybel_0(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ( v1_waybel_7(B,A)
          <=> r2_hidden(B,k4_waybel_6(k2_yellow_1(k8_waybel_0(A)))) ) ) ) )).

fof(t24_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v11_waybel_1(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v2_waybel_0(B,A)
            & v13_waybel_0(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ( v2_waybel_7(B,A)
          <=> ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ( r2_hidden(C,B)
                  | r2_hidden(k7_waybel_1(A,C),B) ) ) ) ) ) )).

fof(t25_waybel_7,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(B)
        & v2_waybel_0(B,k3_yellow_1(A))
        & v13_waybel_0(B,k3_yellow_1(A))
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_1(A)))) )
     => ( v2_waybel_7(B,k3_yellow_1(A))
      <=> ! [C] :
            ( m1_subset_1(C,k1_zfmisc_1(A))
           => ( r2_hidden(C,B)
              | r2_hidden(k4_xboole_0(A,C),B) ) ) ) ) )).

fof(d3_waybel_7,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v2_waybel_0(B,A)
            & v13_waybel_0(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ( v3_waybel_7(B,A)
          <=> ( v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A)))
              & ! [C] :
                  ( ( ~ v1_xboole_0(C)
                    & v2_waybel_0(C,A)
                    & v13_waybel_0(C,A)
                    & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
                 => ~ ( r1_tarski(B,C)
                      & B != C
                      & C != u1_struct_0(A) ) ) ) ) ) ) )).

fof(t26_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v11_waybel_1(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v2_waybel_0(B,A)
            & v13_waybel_0(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ( ( v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A)))
              & v2_waybel_7(B,A) )
          <=> v3_waybel_7(B,A) ) ) ) )).

fof(t27_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_waybel_1(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v1_waybel_0(B,A)
            & v12_waybel_0(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & v2_waybel_0(C,A)
                & v13_waybel_0(C,A)
                & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
             => ~ ( r1_subset_1(B,C)
                  & ! [D] :
                      ( ( ~ v1_xboole_0(D)
                        & v1_waybel_0(D,A)
                        & v12_waybel_0(D,A)
                        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
                     => ~ ( v1_waybel_7(D,A)
                          & r1_tarski(B,D)
                          & r1_subset_1(D,C) ) ) ) ) ) ) )).

fof(t28_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_waybel_1(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v1_waybel_0(B,A)
            & v12_waybel_0(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ~ ( ~ r2_hidden(C,B)
                  & ! [D] :
                      ( ( ~ v1_xboole_0(D)
                        & v1_waybel_0(D,A)
                        & v12_waybel_0(D,A)
                        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
                     => ~ ( v1_waybel_7(D,A)
                          & r1_tarski(B,D)
                          & ~ r2_hidden(C,D) ) ) ) ) ) ) )).

fof(t29_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_waybel_1(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v1_waybel_0(B,A)
            & v12_waybel_0(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & v2_waybel_0(C,A)
                & v13_waybel_0(C,A)
                & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
             => ~ ( r1_subset_1(B,C)
                  & ! [D] :
                      ( ( ~ v1_xboole_0(D)
                        & v2_waybel_0(D,A)
                        & v13_waybel_0(D,A)
                        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
                     => ~ ( v2_waybel_7(D,A)
                          & r1_tarski(C,D)
                          & r1_subset_1(B,D) ) ) ) ) ) ) )).

fof(t30_waybel_7,axiom,(
    ! [A] :
      ( ( ~ v3_realset2(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v11_waybel_1(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A)))
            & v2_waybel_0(B,A)
            & v13_waybel_0(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ? [C] :
              ( ~ v1_xboole_0(C)
              & v2_waybel_0(C,A)
              & v13_waybel_0(C,A)
              & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
              & r1_tarski(B,C)
              & v3_waybel_7(C,A) ) ) ) )).

fof(d4_waybel_7,axiom,(
    ! [A] :
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B,C] :
          ( r1_waybel_7(A,B,C)
        <=> ! [D] :
              ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
             => ( ( v3_pre_topc(D,A)
                  & r2_hidden(C,D) )
               => ! [E] :
                    ~ ( r2_hidden(E,B)
                      & r1_xboole_0(D,E) ) ) ) ) ) )).

fof(d5_waybel_7,axiom,(
    ! [A] :
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B,C] :
          ( r2_waybel_7(A,B,C)
        <=> ! [D] :
              ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
             => ( ( v3_pre_topc(D,A)
                  & r2_hidden(C,D) )
               => r2_hidden(D,B) ) ) ) ) )).

fof(t31_waybel_7,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v2_waybel_0(B,k3_yellow_1(u1_struct_0(A)))
            & v13_waybel_0(B,k3_yellow_1(u1_struct_0(A)))
            & v3_waybel_7(B,k3_yellow_1(u1_struct_0(A)))
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(A))))) )
         => ! [C] :
              ( r1_waybel_7(A,B,C)
            <=> r2_waybel_7(A,B,C) ) ) ) )).

fof(t32_waybel_7,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k2_yellow_1(u1_pre_topc(A))))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k2_yellow_1(u1_pre_topc(A))))
             => ( r1_waybel_3(k2_yellow_1(u1_pre_topc(A)),B,C)
               => ! [D] :
                    ( ( ~ v1_xboole_0(D)
                      & v1_tex_2(D,k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(A)))))
                      & v2_waybel_0(D,k3_yellow_1(u1_struct_0(A)))
                      & v13_waybel_0(D,k3_yellow_1(u1_struct_0(A)))
                      & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(A))))) )
                   => ~ ( r2_hidden(B,D)
                        & ! [E] :
                            ( m1_subset_1(E,u1_struct_0(A))
                           => ~ ( r2_hidden(E,C)
                                & r1_waybel_7(A,D,E) ) ) ) ) ) ) ) ) )).

fof(t33_waybel_7,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k2_yellow_1(u1_pre_topc(A))))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k2_yellow_1(u1_pre_topc(A))))
             => ( r1_waybel_3(k2_yellow_1(u1_pre_topc(A)),B,C)
               => ! [D] :
                    ( ( ~ v1_xboole_0(D)
                      & v2_waybel_0(D,k3_yellow_1(u1_struct_0(A)))
                      & v13_waybel_0(D,k3_yellow_1(u1_struct_0(A)))
                      & v3_waybel_7(D,k3_yellow_1(u1_struct_0(A)))
                      & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(A))))) )
                   => ~ ( r2_hidden(B,D)
                        & ! [E] :
                            ( m1_subset_1(E,u1_struct_0(A))
                           => ~ ( r2_hidden(E,C)
                                & r2_waybel_7(A,D,E) ) ) ) ) ) ) ) ) )).

fof(t34_waybel_7,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k2_yellow_1(u1_pre_topc(A))))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k2_yellow_1(u1_pre_topc(A))))
             => ( ( r1_tarski(B,C)
                  & ! [D] :
                      ( ( ~ v1_xboole_0(D)
                        & v2_waybel_0(D,k3_yellow_1(u1_struct_0(A)))
                        & v13_waybel_0(D,k3_yellow_1(u1_struct_0(A)))
                        & v3_waybel_7(D,k3_yellow_1(u1_struct_0(A)))
                        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_yellow_1(u1_struct_0(A))))) )
                     => ~ ( r2_hidden(B,D)
                          & ! [E] :
                              ( m1_subset_1(E,u1_struct_0(A))
                             => ~ ( r2_hidden(E,C)
                                  & r2_waybel_7(A,D,E) ) ) ) ) )
               => r1_waybel_3(k2_yellow_1(u1_pre_topc(A)),B,C) ) ) ) ) )).

fof(t35_waybel_7,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m2_cantor_1(B,A)
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k2_yellow_1(u1_pre_topc(A))))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k2_yellow_1(u1_pre_topc(A))))
                 => ( r1_tarski(C,D)
                   => ( r1_waybel_3(k2_yellow_1(u1_pre_topc(A)),C,D)
                    <=> ! [E] :
                          ( m1_subset_1(E,k1_zfmisc_1(B))
                         => ~ ( r1_tarski(D,k3_tarski(E))
                              & ! [F] :
                                  ( ( v1_finset_1(F)
                                    & m1_subset_1(F,k1_zfmisc_1(E)) )
                                 => ~ r1_tarski(C,k3_tarski(F)) ) ) ) ) ) ) ) ) ) )).

fof(t36_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_waybel_1(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r1_waybel_3(A,B,C)
              <=> ! [D] :
                    ( ( ~ v1_xboole_0(D)
                      & v1_waybel_0(D,A)
                      & v12_waybel_0(D,A)
                      & v1_waybel_7(D,A)
                      & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
                   => ( r3_orders_2(A,C,k1_yellow_0(A,D))
                     => r2_hidden(B,D) ) ) ) ) ) ) )).

fof(t37_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ( v5_waybel_6(B,A)
           => v1_waybel_7(k6_waybel_0(A,B),A) ) ) ) )).

fof(d6_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ( v4_waybel_7(B,A)
          <=> ? [C] :
                ( ~ v1_xboole_0(C)
                & v1_waybel_0(C,A)
                & v12_waybel_0(C,A)
                & v1_waybel_7(C,A)
                & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
                & B = k1_yellow_0(A,C) ) ) ) ) )).

fof(t38_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ( v5_waybel_6(B,A)
           => v4_waybel_7(B,A) ) ) ) )).

fof(t39_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_waybel_3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ( v4_waybel_7(B,A)
           => ! [C] :
                ( ( ~ v1_xboole_0(C)
                  & v1_finset_1(C)
                  & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
               => ~ ( r1_waybel_3(A,k2_yellow_0(A,C),B)
                    & ! [D] :
                        ( m1_subset_1(D,u1_struct_0(A))
                       => ~ ( r2_hidden(D,C)
                            & r3_orders_2(A,D,B) ) ) ) ) ) ) ) )).

fof(t40_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_waybel_3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ( ! [C] :
                ( ( ~ v1_xboole_0(C)
                  & v1_finset_1(C)
                  & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
               => ~ ( r1_waybel_3(A,k2_yellow_0(A,C),B)
                    & ! [D] :
                        ( m1_subset_1(D,u1_struct_0(A))
                       => ~ ( r2_hidden(D,C)
                            & r3_orders_2(A,D,B) ) ) ) )
           => ( ( B = k4_yellow_0(A)
                & v1_waybel_3(k4_yellow_0(A),A) )
              | r1_subset_1(k5_waybel_0(A,k13_waybel_0(A,k3_subset_1(u1_struct_0(A),k6_waybel_0(A,B)))),k1_waybel_3(A,B)) ) ) ) ) )).

fof(t41_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_waybel_3(A)
        & l1_orders_2(A) )
     => ( v1_waybel_3(k4_yellow_0(A),A)
       => ( ! [B] :
              ( ( ~ v1_xboole_0(B)
                & v1_finset_1(B)
                & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
             => ~ ( r1_waybel_3(A,k2_yellow_0(A,B),k4_yellow_0(A))
                  & ! [C] :
                      ( m1_subset_1(C,u1_struct_0(A))
                     => ~ ( r2_hidden(C,B)
                          & r3_orders_2(A,C,k4_yellow_0(A)) ) ) ) )
          & ~ r2_subset_1(k5_waybel_0(A,k13_waybel_0(A,k3_subset_1(u1_struct_0(A),k6_waybel_0(A,k4_yellow_0(A))))),k1_waybel_3(A,k4_yellow_0(A))) ) ) ) )).

fof(t42_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_waybel_3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ( r1_subset_1(k5_waybel_0(A,k13_waybel_0(A,k3_subset_1(u1_struct_0(A),k6_waybel_0(A,B)))),k1_waybel_3(A,B))
           => ! [C] :
                ( ( ~ v1_xboole_0(C)
                  & v1_finset_1(C)
                  & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
               => ~ ( r1_waybel_3(A,k2_yellow_0(A,C),B)
                    & ! [D] :
                        ( m1_subset_1(D,u1_struct_0(A))
                       => ~ ( r2_hidden(D,C)
                            & r3_orders_2(A,D,B) ) ) ) ) ) ) ) )).

fof(t43_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_waybel_1(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_waybel_3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ( r1_subset_1(k5_waybel_0(A,k13_waybel_0(A,k3_subset_1(u1_struct_0(A),k6_waybel_0(A,B)))),k1_waybel_3(A,B))
           => v4_waybel_7(B,A) ) ) ) )).

fof(d7_waybel_7,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
         => ( v5_waybel_7(B,A)
          <=> ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] :
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ( ( r2_hidden(k7_yellow_3(A,A,C,D),B)
                            & r2_hidden(k7_yellow_3(A,A,C,E),B) )
                         => r2_hidden(k7_yellow_3(A,A,C,k11_lattice3(A,D,E)),B) ) ) ) ) ) ) ) )).

fof(t44_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v5_waybel_4(B,A)
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
         => ( v5_waybel_7(B,A)
          <=> ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => v2_waybel_0(k6_waybel_4(A,C,B),A) ) ) ) ) )).

fof(t45_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v5_waybel_4(B,A)
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
         => ( v5_waybel_7(B,A)
          <=> ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] :
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => ( ( r2_hidden(k7_yellow_3(A,A,C,E),B)
                                & r2_hidden(k7_yellow_3(A,A,D,F),B) )
                             => r2_hidden(k7_yellow_3(A,A,k12_lattice3(A,C,D),k12_lattice3(A,E,F)),B) ) ) ) ) ) ) ) ) )).

fof(t46_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v5_waybel_4(B,A)
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
         => ( v5_waybel_7(B,A)
          <=> ! [C] :
                ( ( v4_yellow_0(C,k3_yellow_3(A,A))
                  & m1_yellow_0(C,k3_yellow_3(A,A)) )
               => ( u1_struct_0(C) = B
                 => v5_yellow_0(C,k3_yellow_3(A,A)) ) ) ) ) ) )).

fof(t47_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v5_waybel_4(B,A)
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
         => ( v5_waybel_7(B,A)
          <=> v19_waybel_0(k7_waybel_4(A,B),A,k2_yellow_1(k8_waybel_0(A))) ) ) ) )).

fof(t48_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_waybel_3(A)
        & l1_orders_2(A) )
     => ( v5_waybel_7(k1_waybel_4(A),A)
       => ! [B] :
            ( m1_subset_1(B,u1_struct_0(A))
           => ( v4_waybel_7(B,A)
            <=> ! [C] :
                  ( m1_subset_1(C,u1_struct_0(A))
                 => ! [D] :
                      ( m1_subset_1(D,u1_struct_0(A))
                     => ~ ( r1_waybel_3(A,k12_lattice3(A,C,D),B)
                          & ~ r3_orders_2(A,C,B)
                          & ~ r3_orders_2(A,D,B) ) ) ) ) ) ) ) )).

fof(t49_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_waybel_3(A)
        & l1_orders_2(A) )
     => ( v5_waybel_7(k1_waybel_4(A),A)
       => ! [B] :
            ( m1_subset_1(B,u1_struct_0(A))
           => ( v4_waybel_7(B,A)
             => v5_waybel_6(B,A) ) ) ) ) )).

fof(t50_waybel_7,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v2_waybel_1(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_waybel_3(A)
        & l1_orders_2(A) )
     => ( ! [B] :
            ( m1_subset_1(B,u1_struct_0(A))
           => ( v4_waybel_7(B,A)
             => v5_waybel_6(B,A) ) )
       => v5_waybel_7(k1_waybel_4(A),A) ) ) )).
%------------------------------------------------------------------------------