SET007 Axioms: SET007+543.ax


%------------------------------------------------------------------------------
% File     : SET007+543 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : The Properties of Product of Relational Structures
% 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    : yellow10 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :   85 (   0 unit)
%            Number of atoms       : 1059 (  36 equality)
%            Maximal formula depth :   23 (  10 average)
%            Number of connectives : 1108 ( 134 ~  ;   2  |; 681  &)
%                                         (  10 <=>; 281 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   41 (   0 propositional; 1-3 arity)
%            Number of functors    :   31 (   1 constant; 0-4 arity)
%            Number of variables   :  267 (   0 singleton; 267 !;   0 ?)
%            Maximal term depth    :    4 (   2 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_yellow10,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_yellow_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_yellow_0(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k3_yellow_3(A,B))
        & v1_orders_2(k3_yellow_3(A,B))
        & v2_yellow_0(k3_yellow_3(A,B)) ) ) )).

fof(fc2_yellow10,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v1_yellow_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v1_yellow_0(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k3_yellow_3(A,B))
        & v1_orders_2(k3_yellow_3(A,B))
        & v1_yellow_0(k3_yellow_3(A,B)) ) ) )).

fof(cc1_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v1_xboole_0(B)
           => v1_waybel_6(B,A) ) ) ) )).

fof(fc3_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v25_waybel_0(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_yellow_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v25_waybel_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & ~ v1_yellow_3(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) )).

fof(fc4_yellow10,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v25_waybel_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v25_waybel_0(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k3_yellow_3(A,B))
        & v1_orders_2(k3_yellow_3(A,B))
        & v2_orders_2(k3_yellow_3(A,B))
        & v1_yellow_0(k3_yellow_3(A,B))
        & v25_waybel_0(k3_yellow_3(A,B))
        & ~ v1_yellow_3(k3_yellow_3(A,B)) ) ) )).

fof(fc5_yellow10,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_yellow_0(A)
        & v10_waybel_1(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v4_orders_2(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_yellow_0(B)
        & v10_waybel_1(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k3_yellow_3(A,B))
        & v1_orders_2(k3_yellow_3(A,B))
        & v4_orders_2(k3_yellow_3(A,B))
        & v1_lattice3(k3_yellow_3(A,B))
        & v2_lattice3(k3_yellow_3(A,B))
        & v1_yellow_0(k3_yellow_3(A,B))
        & v2_yellow_0(k3_yellow_3(A,B))
        & v3_yellow_0(k3_yellow_3(A,B))
        & v10_waybel_1(k3_yellow_3(A,B)) ) ) )).

fof(fc6_yellow10,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v2_waybel_1(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v4_orders_2(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v2_waybel_1(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k3_yellow_3(A,B))
        & v1_orders_2(k3_yellow_3(A,B))
        & v4_orders_2(k3_yellow_3(A,B))
        & v1_lattice3(k3_yellow_3(A,B))
        & v2_lattice3(k3_yellow_3(A,B))
        & v2_waybel_1(k3_yellow_3(A,B)) ) ) )).

fof(fc7_yellow10,axiom,(
    ! [A,B] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_lattice3(A)
        & v2_waybel_2(A)
        & l1_orders_2(A)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v2_lattice3(B)
        & v2_waybel_2(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k3_yellow_3(A,B))
        & v1_orders_2(k3_yellow_3(A,B))
        & v2_orders_2(k3_yellow_3(A,B))
        & v3_orders_2(k3_yellow_3(A,B))
        & v4_orders_2(k3_yellow_3(A,B))
        & v2_lattice3(k3_yellow_3(A,B))
        & v24_waybel_0(k3_yellow_3(A,B))
        & ~ v1_yellow_3(k3_yellow_3(A,B))
        & v1_waybel_2(k3_yellow_3(A,B))
        & v2_waybel_2(k3_yellow_3(A,B)) ) ) )).

fof(fc8_yellow10,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & v25_waybel_0(A)
        & v2_waybel_3(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v24_waybel_0(B)
        & v25_waybel_0(B)
        & v2_waybel_3(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k3_yellow_3(A,B))
        & v1_orders_2(k3_yellow_3(A,B))
        & v2_orders_2(k3_yellow_3(A,B))
        & v3_orders_2(k3_yellow_3(A,B))
        & v4_orders_2(k3_yellow_3(A,B))
        & v2_lattice3(k3_yellow_3(A,B))
        & v1_yellow_0(k3_yellow_3(A,B))
        & v24_waybel_0(k3_yellow_3(A,B))
        & v25_waybel_0(k3_yellow_3(A,B))
        & v2_waybel_3(k3_yellow_3(A,B))
        & ~ v1_yellow_3(k3_yellow_3(A,B)) ) ) )).

fof(fc9_yellow10,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v25_waybel_0(A)
        & v3_waybel_3(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v25_waybel_0(B)
        & v3_waybel_3(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k3_yellow_3(A,B))
        & v1_orders_2(k3_yellow_3(A,B))
        & v2_orders_2(k3_yellow_3(A,B))
        & v3_orders_2(k3_yellow_3(A,B))
        & v4_orders_2(k3_yellow_3(A,B))
        & v2_lattice3(k3_yellow_3(A,B))
        & v1_yellow_0(k3_yellow_3(A,B))
        & v24_waybel_0(k3_yellow_3(A,B))
        & v25_waybel_0(k3_yellow_3(A,B))
        & v2_waybel_3(k3_yellow_3(A,B))
        & v3_waybel_3(k3_yellow_3(A,B))
        & ~ v1_yellow_3(k3_yellow_3(A,B)) ) ) )).

fof(fc10_yellow10,axiom,(
    ! [A,B] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v1_yellow_0(A)
        & v24_waybel_0(A)
        & v1_waybel_8(A)
        & l1_orders_2(A)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v1_lattice3(B)
        & v1_yellow_0(B)
        & v24_waybel_0(B)
        & v1_waybel_8(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k3_yellow_3(A,B))
        & v1_orders_2(k3_yellow_3(A,B))
        & v2_orders_2(k3_yellow_3(A,B))
        & v3_orders_2(k3_yellow_3(A,B))
        & v4_orders_2(k3_yellow_3(A,B))
        & v1_lattice3(k3_yellow_3(A,B))
        & v2_lattice3(k3_yellow_3(A,B))
        & v3_lattice3(k3_yellow_3(A,B))
        & v1_yellow_0(k3_yellow_3(A,B))
        & v2_yellow_0(k3_yellow_3(A,B))
        & v3_yellow_0(k3_yellow_3(A,B))
        & v24_waybel_0(k3_yellow_3(A,B))
        & v25_waybel_0(k3_yellow_3(A,B))
        & v1_waybel_8(k3_yellow_3(A,B))
        & ~ v1_yellow_3(k3_yellow_3(A,B)) ) ) )).

fof(fc11_yellow10,axiom,(
    ! [A,B] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v3_lattice3(A)
        & v1_yellow_0(A)
        & v2_waybel_8(A)
        & l1_orders_2(A)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v1_lattice3(B)
        & v3_lattice3(B)
        & v1_yellow_0(B)
        & v2_waybel_8(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k3_yellow_3(A,B))
        & v1_orders_2(k3_yellow_3(A,B))
        & v2_orders_2(k3_yellow_3(A,B))
        & v3_orders_2(k3_yellow_3(A,B))
        & v4_orders_2(k3_yellow_3(A,B))
        & v1_lattice3(k3_yellow_3(A,B))
        & v2_lattice3(k3_yellow_3(A,B))
        & v3_lattice3(k3_yellow_3(A,B))
        & v1_yellow_0(k3_yellow_3(A,B))
        & v2_yellow_0(k3_yellow_3(A,B))
        & v3_yellow_0(k3_yellow_3(A,B))
        & v24_waybel_0(k3_yellow_3(A,B))
        & v25_waybel_0(k3_yellow_3(A,B))
        & v2_waybel_3(k3_yellow_3(A,B))
        & v3_waybel_3(k3_yellow_3(A,B))
        & v1_waybel_8(k3_yellow_3(A,B))
        & v2_waybel_8(k3_yellow_3(A,B))
        & ~ v1_yellow_3(k3_yellow_3(A,B)) ) ) )).

fof(fc12_yellow10,axiom,(
    ! [A,B] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v1_yellow_0(A)
        & v3_waybel_8(A)
        & l1_orders_2(A)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v1_yellow_0(B)
        & v3_waybel_8(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k3_yellow_3(A,B))
        & v1_orders_2(k3_yellow_3(A,B))
        & v2_orders_2(k3_yellow_3(A,B))
        & v3_orders_2(k3_yellow_3(A,B))
        & v4_orders_2(k3_yellow_3(A,B))
        & v1_lattice3(k3_yellow_3(A,B))
        & v2_lattice3(k3_yellow_3(A,B))
        & v3_lattice3(k3_yellow_3(A,B))
        & v1_yellow_0(k3_yellow_3(A,B))
        & v2_yellow_0(k3_yellow_3(A,B))
        & v3_yellow_0(k3_yellow_3(A,B))
        & v24_waybel_0(k3_yellow_3(A,B))
        & v25_waybel_0(k3_yellow_3(A,B))
        & v2_waybel_3(k3_yellow_3(A,B))
        & v3_waybel_3(k3_yellow_3(A,B))
        & v1_waybel_8(k3_yellow_3(A,B))
        & v2_waybel_8(k3_yellow_3(A,B))
        & v3_waybel_8(k3_yellow_3(A,B))
        & ~ v1_yellow_3(k3_yellow_3(A,B)) ) ) )).

fof(t1_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ( v2_yellow_0(k3_yellow_3(A,B))
           => ( v2_yellow_0(A)
              & v2_yellow_0(B) ) ) ) ) )).

fof(t2_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ( v1_yellow_0(k3_yellow_3(A,B))
           => ( v1_yellow_0(A)
              & v1_yellow_0(B) ) ) ) ) )).

fof(t3_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_orders_2(A)
        & v2_yellow_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v4_orders_2(B)
            & v2_yellow_0(B)
            & l1_orders_2(B) )
         => k4_yellow_0(k3_yellow_3(A,B)) = k7_yellow_3(A,B,k4_yellow_0(A),k4_yellow_0(B)) ) ) )).

fof(t4_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v4_orders_2(B)
            & v1_yellow_0(B)
            & l1_orders_2(B) )
         => k3_yellow_0(k3_yellow_3(A,B)) = k7_yellow_3(A,B,k3_yellow_0(A),k3_yellow_0(B)) ) ) )).

fof(t5_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v4_orders_2(B)
            & v1_yellow_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
             => ( ( v3_lattice3(k3_yellow_3(A,B))
                  | r1_yellow_0(k3_yellow_3(A,B),C) )
               => k1_yellow_0(k3_yellow_3(A,B),C) = k7_yellow_3(A,B,k1_yellow_0(A,k4_yellow_3(A,B,C)),k1_yellow_0(B,k5_yellow_3(A,B,C))) ) ) ) ) )).

fof(t6_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_orders_2(A)
        & v2_yellow_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v4_orders_2(B)
            & v2_yellow_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
             => ( ( v3_lattice3(k3_yellow_3(A,B))
                  | r2_yellow_0(k3_yellow_3(A,B),C) )
               => k2_yellow_0(k3_yellow_3(A,B),C) = k7_yellow_3(A,B,k2_yellow_0(A,k4_yellow_3(A,B,C)),k2_yellow_0(B,k5_yellow_3(A,B,C))) ) ) ) ) )).

fof(t7_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B)))
                 => ( r1_lattice3(k3_yellow_3(A,B),k1_struct_0(k3_yellow_3(A,B),D),C)
                  <=> ( r1_lattice3(A,k1_struct_0(A,k8_yellow_3(A,B,D)),k8_yellow_3(A,B,C))
                      & r1_lattice3(B,k1_struct_0(B,k9_yellow_3(A,B,D)),k9_yellow_3(A,B,C)) ) ) ) ) ) ) )).

fof(t8_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k3_yellow_3(A,B)))
                     => ( r1_lattice3(k3_yellow_3(A,B),k2_struct_0(k3_yellow_3(A,B),D,E),C)
                      <=> ( r1_lattice3(A,k2_struct_0(A,k8_yellow_3(A,B,D),k8_yellow_3(A,B,E)),k8_yellow_3(A,B,C))
                          & r1_lattice3(B,k2_struct_0(B,k9_yellow_3(A,B,D),k9_yellow_3(A,B,E)),k9_yellow_3(A,B,C)) ) ) ) ) ) ) ) )).

fof(t9_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B)))
                 => ( r2_lattice3(k3_yellow_3(A,B),k1_struct_0(k3_yellow_3(A,B),D),C)
                  <=> ( r2_lattice3(A,k1_struct_0(A,k8_yellow_3(A,B,D)),k8_yellow_3(A,B,C))
                      & r2_lattice3(B,k1_struct_0(B,k9_yellow_3(A,B,D)),k9_yellow_3(A,B,C)) ) ) ) ) ) ) )).

fof(t10_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k3_yellow_3(A,B)))
                     => ( r2_lattice3(k3_yellow_3(A,B),k2_struct_0(k3_yellow_3(A,B),D,E),C)
                      <=> ( r2_lattice3(A,k2_struct_0(A,k8_yellow_3(A,B,D),k8_yellow_3(A,B,E)),k8_yellow_3(A,B,C))
                          & r2_lattice3(B,k2_struct_0(B,k9_yellow_3(A,B,D),k9_yellow_3(A,B,E)),k9_yellow_3(A,B,C)) ) ) ) ) ) ) ) )).

fof(t11_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v4_orders_2(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B)))
                 => ( r2_yellow_0(k3_yellow_3(A,B),k2_struct_0(k3_yellow_3(A,B),C,D))
                  <=> ( r2_yellow_0(A,k2_struct_0(A,k8_yellow_3(A,B,C),k8_yellow_3(A,B,D)))
                      & r2_yellow_0(B,k2_struct_0(B,k9_yellow_3(A,B,C),k9_yellow_3(A,B,D))) ) ) ) ) ) ) )).

fof(t12_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v4_orders_2(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B)))
                 => ( r1_yellow_0(k3_yellow_3(A,B),k2_struct_0(k3_yellow_3(A,B),C,D))
                  <=> ( r1_yellow_0(A,k2_struct_0(A,k8_yellow_3(A,B,C),k8_yellow_3(A,B,D)))
                      & r1_yellow_0(B,k2_struct_0(B,k9_yellow_3(A,B,C),k9_yellow_3(A,B,D))) ) ) ) ) ) ) )).

fof(t13_yellow10,axiom,(
    ! [A] :
      ( ( v4_orders_2(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v4_orders_2(B)
            & v2_lattice3(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B)))
                 => ( k8_yellow_3(A,B,k12_lattice3(k3_yellow_3(A,B),C,D)) = k12_lattice3(A,k8_yellow_3(A,B,C),k8_yellow_3(A,B,D))
                    & k9_yellow_3(A,B,k12_lattice3(k3_yellow_3(A,B),C,D)) = k12_lattice3(B,k9_yellow_3(A,B,C),k9_yellow_3(A,B,D)) ) ) ) ) ) )).

fof(t14_yellow10,axiom,(
    ! [A] :
      ( ( v4_orders_2(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v4_orders_2(B)
            & v1_lattice3(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B)))
                 => ( k8_yellow_3(A,B,k13_lattice3(k3_yellow_3(A,B),C,D)) = k13_lattice3(A,k8_yellow_3(A,B,C),k8_yellow_3(A,B,D))
                    & k9_yellow_3(A,B,k13_lattice3(k3_yellow_3(A,B),C,D)) = k13_lattice3(B,k9_yellow_3(A,B,C),k9_yellow_3(A,B,D)) ) ) ) ) ) )).

fof(t15_yellow10,axiom,(
    ! [A] :
      ( ( v4_orders_2(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v4_orders_2(B)
            & v2_lattice3(B)
            & l1_orders_2(B) )
         => ! [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(B))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(B))
                         => k7_yellow_3(A,B,k12_lattice3(A,C,D),k12_lattice3(B,E,F)) = k12_lattice3(k3_yellow_3(A,B),k7_yellow_3(A,B,C,E),k7_yellow_3(A,B,D,F)) ) ) ) ) ) ) )).

fof(t16_yellow10,axiom,(
    ! [A] :
      ( ( v4_orders_2(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v4_orders_2(B)
            & v1_lattice3(B)
            & l1_orders_2(B) )
         => ! [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(B))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(B))
                         => k7_yellow_3(A,B,k13_lattice3(A,C,D),k13_lattice3(B,E,F)) = k13_lattice3(k3_yellow_3(A,B),k7_yellow_3(A,B,C,E),k7_yellow_3(A,B,D,F)) ) ) ) ) ) ) )).

fof(t17_yellow10,axiom,(
    ! [A] :
      ( ( v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_yellow_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v4_orders_2(B)
            & v1_lattice3(B)
            & v2_lattice3(B)
            & v3_yellow_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B)))
                 => ( r1_yellow10(k3_yellow_3(A,B),D,C)
                  <=> ( r1_yellow10(A,k8_yellow_3(A,B,D),k8_yellow_3(A,B,C))
                      & r1_yellow10(B,k9_yellow_3(A,B,D),k9_yellow_3(A,B,C)) ) ) ) ) ) ) )).

fof(t18_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [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(B))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(B))
                         => ( r1_waybel_3(k3_yellow_3(A,B),k7_yellow_3(A,B,C,E),k7_yellow_3(A,B,D,F))
                           => ( r1_waybel_3(A,C,D)
                              & r1_waybel_3(B,E,F) ) ) ) ) ) ) ) ) )).

fof(t19_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [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(B))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(B))
                         => ( r1_waybel_3(k3_yellow_3(A,B),k7_yellow_3(A,B,C,E),k7_yellow_3(A,B,D,F))
                          <=> ( r1_waybel_3(A,C,D)
                              & r1_waybel_3(B,E,F) ) ) ) ) ) ) ) ) )).

fof(t20_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B)))
                 => ( r1_waybel_3(k3_yellow_3(A,B),C,D)
                   => ( r1_waybel_3(A,k8_yellow_3(A,B,C),k8_yellow_3(A,B,D))
                      & r1_waybel_3(B,k9_yellow_3(A,B,C),k9_yellow_3(A,B,D)) ) ) ) ) ) ) )).

fof(t21_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k3_yellow_3(A,B)))
                 => ( r1_waybel_3(k3_yellow_3(A,B),C,D)
                  <=> ( r1_waybel_3(A,k8_yellow_3(A,B,C),k8_yellow_3(A,B,D))
                      & r1_waybel_3(B,k9_yellow_3(A,B,C),k9_yellow_3(A,B,D)) ) ) ) ) ) ) )).

fof(t22_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ( v1_waybel_3(C,k3_yellow_3(A,B))
               => ( v1_waybel_3(k8_yellow_3(A,B,C),A)
                  & v1_waybel_3(k9_yellow_3(A,B,C),B) ) ) ) ) ) )).

fof(t23_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ( ( v1_waybel_3(k8_yellow_3(A,B,C),A)
                  & v1_waybel_3(k9_yellow_3(A,B,C),B) )
               => v1_waybel_3(C,k3_yellow_3(A,B)) ) ) ) ) )).

fof(t24_yellow10,axiom,(
    ! [A] :
      ( ( v4_orders_2(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v4_orders_2(B)
            & v2_lattice3(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
                 => ( k4_yellow_3(A,B,k4_yellow_4(k3_yellow_3(A,B),C,D)) = k4_yellow_4(A,k4_yellow_3(A,B,C),k4_yellow_3(A,B,D))
                    & k5_yellow_3(A,B,k4_yellow_4(k3_yellow_3(A,B),C,D)) = k4_yellow_4(B,k5_yellow_3(A,B,C),k5_yellow_3(A,B,D)) ) ) ) ) ) )).

fof(t25_yellow10,axiom,(
    ! [A] :
      ( ( v4_orders_2(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v4_orders_2(B)
            & v1_lattice3(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
                 => ( k4_yellow_3(A,B,k2_yellow_4(k3_yellow_3(A,B),C,D)) = k2_yellow_4(A,k4_yellow_3(A,B,C),k4_yellow_3(A,B,D))
                    & k5_yellow_3(A,B,k2_yellow_4(k3_yellow_3(A,B),C,D)) = k2_yellow_4(B,k5_yellow_3(A,B,C),k5_yellow_3(A,B,D)) ) ) ) ) ) )).

fof(t26_yellow10,axiom,(
    ! [A] :
      ( l1_orders_2(A)
     => ! [B] :
          ( l1_orders_2(B)
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
             => r1_tarski(k4_waybel_0(k3_yellow_3(A,B),C),k6_yellow_3(A,B,k4_waybel_0(A,k4_yellow_3(A,B,C)),k4_waybel_0(B,k5_yellow_3(A,B,C)))) ) ) ) )).

fof(t27_yellow10,axiom,(
    ! [A] :
      ( l1_orders_2(A)
     => ! [B] :
          ( l1_orders_2(B)
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
                 => k6_yellow_3(A,B,k4_waybel_0(A,C),k4_waybel_0(B,D)) = k4_waybel_0(k3_yellow_3(A,B),k6_yellow_3(A,B,C,D)) ) ) ) ) )).

fof(t28_yellow10,axiom,(
    ! [A] :
      ( l1_orders_2(A)
     => ! [B] :
          ( l1_orders_2(B)
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
             => ( r1_tarski(k4_yellow_3(A,B,k4_waybel_0(k3_yellow_3(A,B),C)),k4_waybel_0(A,k4_yellow_3(A,B,C)))
                & r1_tarski(k5_yellow_3(A,B,k4_waybel_0(k3_yellow_3(A,B),C)),k4_waybel_0(B,k5_yellow_3(A,B,C))) ) ) ) ) )).

fof(t29_yellow10,axiom,(
    ! [A] :
      ( l1_orders_2(A)
     => ! [B] :
          ( ( v2_orders_2(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
             => k4_yellow_3(A,B,k4_waybel_0(k3_yellow_3(A,B),C)) = k4_waybel_0(A,k4_yellow_3(A,B,C)) ) ) ) )).

fof(t30_yellow10,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( l1_orders_2(B)
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
             => k5_yellow_3(A,B,k4_waybel_0(k3_yellow_3(A,B),C)) = k4_waybel_0(B,k5_yellow_3(A,B,C)) ) ) ) )).

fof(t31_yellow10,axiom,(
    ! [A] :
      ( l1_orders_2(A)
     => ! [B] :
          ( l1_orders_2(B)
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
             => r1_tarski(k5_waybel_0(k3_yellow_3(A,B),C),k6_yellow_3(A,B,k5_waybel_0(A,k4_yellow_3(A,B,C)),k5_waybel_0(B,k5_yellow_3(A,B,C)))) ) ) ) )).

fof(t32_yellow10,axiom,(
    ! [A] :
      ( l1_orders_2(A)
     => ! [B] :
          ( l1_orders_2(B)
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
                 => k6_yellow_3(A,B,k5_waybel_0(A,C),k5_waybel_0(B,D)) = k5_waybel_0(k3_yellow_3(A,B),k6_yellow_3(A,B,C,D)) ) ) ) ) )).

fof(t33_yellow10,axiom,(
    ! [A] :
      ( l1_orders_2(A)
     => ! [B] :
          ( l1_orders_2(B)
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
             => ( r1_tarski(k4_yellow_3(A,B,k5_waybel_0(k3_yellow_3(A,B),C)),k5_waybel_0(A,k4_yellow_3(A,B,C)))
                & r1_tarski(k5_yellow_3(A,B,k5_waybel_0(k3_yellow_3(A,B),C)),k5_waybel_0(B,k5_yellow_3(A,B,C))) ) ) ) ) )).

fof(t34_yellow10,axiom,(
    ! [A] :
      ( l1_orders_2(A)
     => ! [B] :
          ( ( v2_orders_2(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
             => k4_yellow_3(A,B,k5_waybel_0(k3_yellow_3(A,B),C)) = k5_waybel_0(A,k4_yellow_3(A,B,C)) ) ) ) )).

fof(t35_yellow10,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( l1_orders_2(B)
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
             => k5_yellow_3(A,B,k5_waybel_0(k3_yellow_3(A,B),C)) = k5_waybel_0(B,k5_yellow_3(A,B,C)) ) ) ) )).

fof(t36_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => k6_yellow_3(A,B,k6_waybel_0(A,C),k6_waybel_0(B,D)) = k6_waybel_0(k3_yellow_3(A,B),k7_yellow_3(A,B,C,D)) ) ) ) ) )).

fof(t37_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ( r1_tarski(k4_yellow_3(A,B,k6_waybel_0(k3_yellow_3(A,B),C)),k6_waybel_0(A,k8_yellow_3(A,B,C)))
                & r1_tarski(k5_yellow_3(A,B,k6_waybel_0(k3_yellow_3(A,B),C)),k6_waybel_0(B,k9_yellow_3(A,B,C))) ) ) ) ) )).

fof(t38_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => k4_yellow_3(A,B,k6_waybel_0(k3_yellow_3(A,B),C)) = k6_waybel_0(A,k8_yellow_3(A,B,C)) ) ) ) )).

fof(t39_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => k5_yellow_3(A,B,k6_waybel_0(k3_yellow_3(A,B),C)) = k6_waybel_0(B,k9_yellow_3(A,B,C)) ) ) ) )).

fof(t40_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => k6_yellow_3(A,B,k7_waybel_0(A,C),k7_waybel_0(B,D)) = k7_waybel_0(k3_yellow_3(A,B),k7_yellow_3(A,B,C,D)) ) ) ) ) )).

fof(t41_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ( r1_tarski(k4_yellow_3(A,B,k7_waybel_0(k3_yellow_3(A,B),C)),k7_waybel_0(A,k8_yellow_3(A,B,C)))
                & r1_tarski(k5_yellow_3(A,B,k7_waybel_0(k3_yellow_3(A,B),C)),k7_waybel_0(B,k9_yellow_3(A,B,C))) ) ) ) ) )).

fof(t42_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => k4_yellow_3(A,B,k7_waybel_0(k3_yellow_3(A,B),C)) = k7_waybel_0(A,k8_yellow_3(A,B,C)) ) ) ) )).

fof(t43_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => k5_yellow_3(A,B,k7_waybel_0(k3_yellow_3(A,B),C)) = k7_waybel_0(B,k9_yellow_3(A,B,C)) ) ) ) )).

fof(t44_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => k13_yellow_3(A,B,k1_waybel_3(A,C),k1_waybel_3(B,D)) = k1_waybel_3(k3_yellow_3(A,B),k7_yellow_3(A,B,C,D)) ) ) ) ) )).

fof(t45_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ( r1_tarski(k4_yellow_3(A,B,k1_waybel_3(k3_yellow_3(A,B),C)),k1_waybel_3(A,k8_yellow_3(A,B,C)))
                & r1_tarski(k5_yellow_3(A,B,k1_waybel_3(k3_yellow_3(A,B),C)),k1_waybel_3(B,k9_yellow_3(A,B,C))) ) ) ) ) )).

fof(t46_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v1_yellow_0(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => k4_yellow_3(A,B,k1_waybel_3(k3_yellow_3(A,B),C)) = k1_waybel_3(A,k8_yellow_3(A,B,C)) ) ) ) )).

fof(t47_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => k5_yellow_3(A,B,k1_waybel_3(k3_yellow_3(A,B),C)) = k1_waybel_3(B,k9_yellow_3(A,B,C)) ) ) ) )).

fof(t48_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => k12_yellow_3(A,B,k2_waybel_3(A,C),k2_waybel_3(B,D)) = k2_waybel_3(k3_yellow_3(A,B),k7_yellow_3(A,B,C,D)) ) ) ) ) )).

fof(t49_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ( r1_tarski(k4_yellow_3(A,B,k2_waybel_3(k3_yellow_3(A,B),C)),k2_waybel_3(A,k8_yellow_3(A,B,C)))
                & r1_tarski(k5_yellow_3(A,B,k2_waybel_3(k3_yellow_3(A,B),C)),k2_waybel_3(B,k9_yellow_3(A,B,C))) ) ) ) ) )).

fof(t50_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => k6_yellow_3(A,B,k2_waybel_8(A,C),k2_waybel_8(B,D)) = k2_waybel_8(k3_yellow_3(A,B),k7_yellow_3(A,B,C,D)) ) ) ) ) )).

fof(t51_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => ( r1_tarski(k4_yellow_3(A,B,k2_waybel_8(k3_yellow_3(A,B),C)),k2_waybel_8(A,k8_yellow_3(A,B,C)))
                & r1_tarski(k5_yellow_3(A,B,k2_waybel_8(k3_yellow_3(A,B),C)),k2_waybel_8(B,k9_yellow_3(A,B,C))) ) ) ) ) )).

fof(t52_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v1_yellow_0(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => k4_yellow_3(A,B,k2_waybel_8(k3_yellow_3(A,B),C)) = k2_waybel_8(A,k8_yellow_3(A,B,C)) ) ) ) )).

fof(t53_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_yellow_3(A,B)))
             => k5_yellow_3(A,B,k2_waybel_8(k3_yellow_3(A,B),C)) = k2_waybel_8(B,k9_yellow_3(A,B,C)) ) ) ) )).

fof(t54_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
             => ( v1_waybel_6(C,k3_yellow_3(A,B))
               => ( v1_waybel_6(k4_yellow_3(A,B,C),A)
                  & v1_waybel_6(k5_yellow_3(A,B,C),B) ) ) ) ) ) )).

fof(t55_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
                 => ( ( v1_waybel_6(C,A)
                      & v1_waybel_6(D,B) )
                   => v1_waybel_6(k6_yellow_3(A,B,C,D),k3_yellow_3(A,B)) ) ) ) ) ) )).

fof(t56_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
             => ( v1_waybel11(C,k3_yellow_3(A,B))
               => ( v1_waybel11(k4_yellow_3(A,B,C),A)
                  & v1_waybel11(k5_yellow_3(A,B,C),B) ) ) ) ) ) )).

fof(t57_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( ( v13_waybel_0(C,A)
                & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
             => ! [D] :
                  ( ( v13_waybel_0(D,B)
                    & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) )
                 => ( ( v1_waybel11(C,A)
                      & v1_waybel11(D,B) )
                   => v1_waybel11(k12_yellow_3(A,B,C,D),k3_yellow_3(A,B)) ) ) ) ) ) )).

fof(t58_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
                 => ( v2_waybel11(k6_yellow_3(A,B,C,D),k3_yellow_3(A,B))
                   => ( ( D != k1_xboole_0
                       => v2_waybel11(C,A) )
                      & ( C != k1_xboole_0
                       => v2_waybel11(D,B) ) ) ) ) ) ) ) )).

fof(t59_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
                 => ( ( v2_waybel11(C,A)
                      & v2_waybel11(D,B) )
                   => v2_waybel11(k6_yellow_3(A,B,C,D),k3_yellow_3(A,B)) ) ) ) ) ) )).

fof(t60_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_3(A,B))))
             => ( v3_waybel11(C,k3_yellow_3(A,B))
               => ( v3_waybel11(k4_yellow_3(A,B,C),A)
                  & v3_waybel11(k5_yellow_3(A,B,C),B) ) ) ) ) ) )).

fof(t61_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
                 => ( ( v3_waybel11(C,A)
                      & v3_waybel11(D,B) )
                   => v3_waybel11(k6_yellow_3(A,B,C,D),k3_yellow_3(A,B)) ) ) ) ) ) )).

fof(t62_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(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))
              & v25_waybel_0(A) )
           => v25_waybel_0(B) ) ) ) )).

fof(t63_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & l1_orders_2(B) )
         => ( v25_waybel_0(k3_yellow_3(A,B))
           => ( v25_waybel_0(A)
              & v25_waybel_0(B) ) ) ) ) )).

fof(t64_yellow10,axiom,(
    ! [A] :
      ( ( v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_yellow_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v4_orders_2(B)
            & v1_lattice3(B)
            & v2_lattice3(B)
            & v3_yellow_0(B)
            & l1_orders_2(B) )
         => ( v10_waybel_1(k3_yellow_3(A,B))
           => ( v10_waybel_1(A)
              & v10_waybel_1(B) ) ) ) ) )).

fof(t65_yellow10,axiom,(
    ! [A] :
      ( ( v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v2_orders_2(B)
            & v4_orders_2(B)
            & v1_lattice3(B)
            & v2_lattice3(B)
            & l1_orders_2(B) )
         => ( v2_waybel_1(k3_yellow_3(A,B))
           => v2_waybel_1(A) ) ) ) )).

fof(t66_yellow10,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v4_orders_2(B)
            & v1_lattice3(B)
            & v2_lattice3(B)
            & l1_orders_2(B) )
         => ( v2_waybel_1(k3_yellow_3(A,B))
           => v2_waybel_1(B) ) ) ) )).

fof(t67_yellow10,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v2_lattice3(B)
            & l1_orders_2(B) )
         => ( v2_waybel_2(k3_yellow_3(A,B))
           => ( v2_waybel_2(A)
              & v2_waybel_2(B) ) ) ) ) )).

fof(t68_yellow10,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v1_yellow_0(B)
            & v24_waybel_0(B)
            & l1_orders_2(B) )
         => ( v3_waybel_3(k3_yellow_3(A,B))
           => ( v3_waybel_3(A)
              & v3_waybel_3(B) ) ) ) ) )).

fof(t69_yellow10,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] :
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v1_yellow_0(B)
            & l1_orders_2(B) )
         => ( v2_waybel_8(k3_yellow_3(A,B))
           => ( v2_waybel_8(A)
              & v2_waybel_8(B) ) ) ) ) )).

fof(t70_yellow10,axiom,(
    ! [A] :
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v1_yellow_0(A)
        & l1_orders_2(A) )
     => ! [B] :
          ( ( v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v1_lattice3(B)
            & v2_lattice3(B)
            & v1_yellow_0(B)
            & l1_orders_2(B) )
         => ( v3_waybel_8(k3_yellow_3(A,B))
           => ( v3_waybel_8(A)
              & v3_waybel_8(B) ) ) ) ) )).

fof(symmetry_r1_yellow10,axiom,(
    ! [A,B,C] :
      ( ( v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => ( r1_yellow10(A,B,C)
       => r1_yellow10(A,C,B) ) ) )).

fof(redefinition_r1_yellow10,axiom,(
    ! [A,B,C] :
      ( ( v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => ( r1_yellow10(A,B,C)
      <=> r6_waybel_1(A,B,C) ) ) )).
%------------------------------------------------------------------------------