% Mizar problem: t42_waybel_4,waybel_4,2558,70 
fof(t42_waybel_4,conjecture,(
    ! [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] : 
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k2_yellow_1(k8_waybel_0(A))))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(k2_yellow_1(k8_waybel_0(A)))) )
         => ~ ( v7_waybel_4(B,A)
              & r2_hidden(B,u1_struct_0(k8_waybel_4(A)))
              & ! [C] : 
                  ( ( v5_waybel_4(C,A)
                    & v6_waybel_4(C,A)
                    & m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) )
                 => C != k1_funct_1(k10_waybel_4(A),B) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_orders_2,antisymmetry_r2_hidden,cc10_waybel_0,cc11_waybel_0,cc12_waybel_0,cc13_waybel_0,cc14_waybel_0,cc1_lattice3,cc1_relset_1,cc1_waybel_4,cc1_yellow_2,cc2_lattice3,cc2_waybel_4,cc3_waybel_4,cc9_waybel_0,commutativity_k2_tarski,d10_xboole_0,d11_waybel_4,d16_waybel_4,d18_waybel_4,d19_waybel_4,d23_waybel_0,d3_tarski,d5_tarski,dt_g1_orders_2,dt_k10_waybel_4,dt_k1_funct_1,dt_k1_tarski,dt_k1_waybel_0,dt_k1_xboole_0,dt_k1_yellow_0,dt_k1_zfmisc_1,dt_k2_tarski,dt_k2_yellow_1,dt_k2_zfmisc_1,dt_k3_waybel_4,dt_k4_tarski,dt_k5_waybel_4,dt_k8_waybel_0,dt_k8_waybel_4,dt_l1_orders_2,dt_l1_struct_0,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_u1_orders_2,dt_u1_struct_0,existence_l1_orders_2,existence_l1_struct_0,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,fc10_waybel_4,fc11_waybel_4,fc12_waybel_4,fc13_waybel_4,fc15_waybel_4,fc16_waybel_4,fc18_waybel_4,fc1_struct_0,fc1_subset_1,fc1_xboole_0,fc2_subset_1,fc3_subset_1,fc3_yellow_2,fc4_subset_1,fc4_yellow_2,fc5_waybel_4,fc5_yellow_1,fc5_yellow_2,fc6_waybel_4,fc6_yellow_1,fc6_yellow_2,fc8_waybel_4,fc9_waybel_4,fraenkel_a_1_0_waybel_0,fraenkel_a_3_0_waybel_4,free_g1_orders_2,rc13_waybel_0,rc1_lattice3,rc1_subset_1,rc1_waybel_4,rc1_xboole_0,rc2_lattice3,rc2_partfun1,rc2_subset_1,rc2_waybel_4,rc2_xboole_0,rc3_struct_0,rc5_struct_0,rc9_waybel_0,redefinition_k1_waybel_0,redefinition_m2_relset_1,reflexivity_r1_tarski,t13_waybel_4,t1_subset,t2_subset,t2_tarski,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole]),
    [file(waybel_4,t42_waybel_4)]).

fof(abstractness_v1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v1_orders_2(A)
       => A = g1_orders_2(u1_struct_0(A),u1_orders_2(A)) ) ) ),
    file(orders_2,v1_orders_2),
    []).

fof(antisymmetry_r2_hidden,axiom,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => ~ r2_hidden(B,A) ) ),
    file(hidden,r2_hidden),
    []).

fof(cc10_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_lattice3(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v24_waybel_0(A)
          & v25_waybel_0(A) ) ) ) ),
    file(waybel_0,cc10_waybel_0),
    []).

fof(cc11_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v25_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v1_yellow_0(A) ) ) ) ),
    file(waybel_0,cc11_waybel_0),
    []).

fof(cc12_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v1_yellow_0(A)
          & v24_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v3_lattice3(A)
          & v1_yellow_0(A)
          & v2_yellow_0(A)
          & v3_yellow_0(A) ) ) ) ),
    file(waybel_0,cc12_waybel_0),
    []).

fof(cc13_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v4_orders_2(A)
          & v25_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v4_orders_2(A)
          & v2_lattice3(A) ) ) ) ),
    file(waybel_0,cc13_waybel_0),
    []).

fof(cc14_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v4_orders_2(A)
          & v2_yellow_0(A)
          & v25_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_yellow_0(A) ) ) ) ),
    file(waybel_0,cc14_waybel_0),
    []).

fof(cc1_lattice3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v1_lattice3(A)
       => ~ v3_struct_0(A) ) ) ),
    file(lattice3,cc1_lattice3),
    []).

fof(cc1_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
     => v1_relat_1(C) ) ),
    file(relset_1,cc1_relset_1),
    []).

fof(cc1_waybel_4,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
         => ( v5_waybel_4(B,A)
           => ( v1_waybel_4(B,A)
              & v2_waybel_4(B,A)
              & v3_waybel_4(B,A)
              & v4_waybel_4(B,A) ) ) ) ) ),
    file(waybel_4,cc1_waybel_4),
    []).

fof(cc1_yellow_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v2_yellow_0(A)
          & v24_waybel_0(A)
          & v25_waybel_0(A) )
       => ( ~ v3_struct_0(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)
          & v24_waybel_0(A)
          & v25_waybel_0(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v3_lattice3(A) ) ) ) ),
    file(yellow_2,cc1_yellow_2),
    []).

fof(cc2_lattice3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v2_lattice3(A)
       => ~ v3_struct_0(A) ) ) ),
    file(lattice3,cc2_lattice3),
    []).

fof(cc2_waybel_4,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
         => ( ( v1_waybel_4(B,A)
              & v2_waybel_4(B,A)
              & v3_waybel_4(B,A)
              & v4_waybel_4(B,A) )
           => v5_waybel_4(B,A) ) ) ) ),
    file(waybel_4,cc2_waybel_4),
    []).

fof(cc3_waybel_4,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
         => ( ( v1_waybel_4(B,A)
              & v2_waybel_4(B,A) )
           => v8_relat_2(B) ) ) ) ),
    file(waybel_4,cc3_waybel_4),
    []).

fof(cc9_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v1_lattice3(A)
          & v24_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v1_lattice3(A)
          & v2_yellow_0(A) ) ) ) ),
    file(waybel_0,cc9_waybel_0),
    []).

fof(commutativity_k2_tarski,axiom,(
    ! [A,B] : k2_tarski(A,B) = k2_tarski(B,A) ),
    file(tarski,k2_tarski),
    []).

fof(d10_xboole_0,axiom,(
    ! [A,B] : 
      ( A = B
    <=> ( r1_tarski(A,B)
        & r1_tarski(B,A) ) ) ),
    file(xboole_0,d10_xboole_0),
    []).

fof(d11_waybel_4,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(A))
             => k5_waybel_4(A,B,C) = a_3_0_waybel_4(A,B,C) ) ) ) ),
    file(waybel_4,d11_waybel_4),
    []).

fof(d16_waybel_4,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(k8_waybel_4(A)),u1_struct_0(k2_yellow_1(k3_waybel_4(A))))
            & m2_relset_1(B,u1_struct_0(k8_waybel_4(A)),u1_struct_0(k2_yellow_1(k3_waybel_4(A)))) )
         => ( B = k10_waybel_4(A)
          <=> ! [C] : ~ ( r2_hidden(C,u1_struct_0(k8_waybel_4(A)))
                & ! [D] : 
                    ( ( v5_waybel_4(D,A)
                      & m2_relset_1(D,u1_struct_0(A),u1_struct_0(A)) )
                   => ~ ( D = k1_funct_1(B,C)
                        & ! [E,F] : 
                            ( r2_hidden(k4_tarski(E,F),D)
                          <=> ? [G] : 
                                ( m1_subset_1(G,u1_struct_0(A))
                                & ? [H] : 
                                    ( m1_subset_1(H,u1_struct_0(A))
                                    & ? [I] : 
                                        ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(A),u1_struct_0(k2_yellow_1(k8_waybel_0(A))))
                                        & m2_relset_1(I,u1_struct_0(A),u1_struct_0(k2_yellow_1(k8_waybel_0(A))))
                                        & G = E
                                        & H = F
                                        & I = C
                                        & r2_hidden(G,k1_waybel_0(A,k2_yellow_1(k8_waybel_0(A)),I,H)) ) ) ) ) ) ) ) ) ) ) ),
    file(waybel_4,d16_waybel_4),
    []).

fof(d18_waybel_4,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
         => ( v6_waybel_4(B,A)
          <=> ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => C = k1_yellow_0(A,k5_waybel_4(A,C,B)) ) ) ) ) ),
    file(waybel_4,d18_waybel_4),
    []).

fof(d19_waybel_4,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k2_yellow_1(k8_waybel_0(A))))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(k2_yellow_1(k8_waybel_0(A)))) )
         => ( v7_waybel_4(B,A)
          <=> ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ? [D] : 
                    ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                    & D = k1_waybel_0(A,k2_yellow_1(k8_waybel_0(A)),B,C)
                    & C = k1_yellow_0(A,D) ) ) ) ) ) ),
    file(waybel_4,d19_waybel_4),
    []).

fof(d23_waybel_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & l1_orders_2(A) )
     => k8_waybel_0(A) = a_1_0_waybel_0(A) ) ),
    file(waybel_0,d23_waybel_0),
    []).

fof(d3_tarski,axiom,(
    ! [A,B] : 
      ( r1_tarski(A,B)
    <=> ! [C] : 
          ( r2_hidden(C,A)
         => r2_hidden(C,B) ) ) ),
    file(tarski,d3_tarski),
    []).

fof(d5_tarski,axiom,(
    ! [A,B] : k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A)) ),
    file(tarski,d5_tarski),
    []).

fof(dt_g1_orders_2,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,A,A)
     => ( v1_orders_2(g1_orders_2(A,B))
        & l1_orders_2(g1_orders_2(A,B)) ) ) ),
    file(orders_2,g1_orders_2),
    []).

fof(dt_k10_waybel_4,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ( v1_funct_1(k10_waybel_4(A))
        & v1_funct_2(k10_waybel_4(A),u1_struct_0(k8_waybel_4(A)),u1_struct_0(k2_yellow_1(k3_waybel_4(A))))
        & m2_relset_1(k10_waybel_4(A),u1_struct_0(k8_waybel_4(A)),u1_struct_0(k2_yellow_1(k3_waybel_4(A)))) ) ) ),
    file(waybel_4,k10_waybel_4),
    []).

fof(dt_k1_funct_1,axiom,(
    $true ),
    file(funct_1,k1_funct_1),
    []).

fof(dt_k1_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    []).

fof(dt_k1_waybel_0,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & l1_struct_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(A)) )
     => m1_subset_1(k1_waybel_0(A,B,C,D),u1_struct_0(B)) ) ),
    file(waybel_0,k1_waybel_0),
    []).

fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    []).

fof(dt_k1_yellow_0,axiom,(
    ! [A,B] : 
      ( l1_orders_2(A)
     => m1_subset_1(k1_yellow_0(A,B),u1_struct_0(A)) ) ),
    file(yellow_0,k1_yellow_0),
    []).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    []).

fof(dt_k2_tarski,axiom,(
    $true ),
    file(tarski,k2_tarski),
    []).

fof(dt_k2_yellow_1,axiom,(
    ! [A] : 
      ( v1_orders_2(k2_yellow_1(A))
      & l1_orders_2(k2_yellow_1(A)) ) ),
    file(yellow_1,k2_yellow_1),
    []).

fof(dt_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    []).

fof(dt_k3_waybel_4,axiom,(
    $true ),
    file(waybel_4,k3_waybel_4),
    []).

fof(dt_k4_tarski,axiom,(
    $true ),
    file(tarski,k4_tarski),
    []).

fof(dt_k5_waybel_4,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(A)) )
     => m1_subset_1(k5_waybel_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(waybel_4,k5_waybel_4),
    []).

fof(dt_k8_waybel_0,axiom,(
    $true ),
    file(waybel_0,k8_waybel_0),
    []).

fof(dt_k8_waybel_4,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & l1_orders_2(A) )
     => ( v1_orders_2(k8_waybel_4(A))
        & l1_orders_2(k8_waybel_4(A)) ) ) ),
    file(waybel_4,k8_waybel_4),
    []).

fof(dt_l1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => l1_struct_0(A) ) ),
    file(orders_2,l1_orders_2),
    []).

fof(dt_l1_struct_0,axiom,(
    $true ),
    file(struct_0,l1_struct_0),
    []).

fof(dt_m1_relset_1,axiom,(
    $true ),
    file(relset_1,m1_relset_1),
    []).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    []).

fof(dt_m2_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ),
    file(relset_1,m2_relset_1),
    []).

fof(dt_u1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) ) ),
    file(orders_2,u1_orders_2),
    []).

fof(dt_u1_struct_0,axiom,(
    $true ),
    file(struct_0,u1_struct_0),
    []).

fof(existence_l1_orders_2,axiom,(
    ? [A] : l1_orders_2(A) ),
    file(orders_2,l1_orders_2),
    []).

fof(existence_l1_struct_0,axiom,(
    ? [A] : l1_struct_0(A) ),
    file(struct_0,l1_struct_0),
    []).

fof(existence_m1_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m1_relset_1(C,A,B) ),
    file(relset_1,m1_relset_1),
    []).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    []).

fof(existence_m2_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m2_relset_1(C,A,B) ),
    file(relset_1,m2_relset_1),
    []).

fof(fc10_waybel_4,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k2_yellow_1(k3_waybel_4(A)))
        & v1_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v2_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v3_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v4_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v1_yellow_0(k2_yellow_1(k3_waybel_4(A)))
        & v2_yellow_0(k2_yellow_1(k3_waybel_4(A)))
        & v3_yellow_0(k2_yellow_1(k3_waybel_4(A)))
        & v24_waybel_0(k2_yellow_1(k3_waybel_4(A)))
        & v25_waybel_0(k2_yellow_1(k3_waybel_4(A)))
        & v1_lattice3(k2_yellow_1(k3_waybel_4(A)))
        & v2_lattice3(k2_yellow_1(k3_waybel_4(A)))
        & v3_lattice3(k2_yellow_1(k3_waybel_4(A))) ) ) ),
    file(waybel_4,fc10_waybel_4),
    []).

fof(fc11_waybel_4,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)
        & m1_subset_1(B,u1_struct_0(A))
        & v4_waybel_4(C,A)
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(A)) )
     => ~ v1_xboole_0(k5_waybel_4(A,B,C)) ) ),
    file(waybel_4,fc11_waybel_4),
    []).

fof(fc12_waybel_4,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)
        & m1_subset_1(B,u1_struct_0(A))
        & v2_waybel_4(C,A)
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(A)) )
     => v12_waybel_0(k5_waybel_4(A,B,C),A) ) ),
    file(waybel_4,fc12_waybel_4),
    []).

fof(fc13_waybel_4,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)
        & m1_subset_1(B,u1_struct_0(A))
        & v3_waybel_4(C,A)
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(A)) )
     => v1_waybel_0(k5_waybel_4(A,B,C),A) ) ),
    file(waybel_4,fc13_waybel_4),
    []).

fof(fc15_waybel_4,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k8_waybel_4(A))
        & v1_orders_2(k8_waybel_4(A)) ) ) ),
    file(waybel_4,fc15_waybel_4),
    []).

fof(fc16_waybel_4,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k8_waybel_4(A))
        & v1_orders_2(k8_waybel_4(A))
        & v2_yellow_0(k8_waybel_4(A)) ) ) ),
    file(waybel_4,fc16_waybel_4),
    []).

fof(fc18_waybel_4,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ( v1_relat_1(k10_waybel_4(A))
        & v1_funct_1(k10_waybel_4(A))
        & v1_funct_2(k10_waybel_4(A),u1_struct_0(k8_waybel_4(A)),u1_struct_0(k2_yellow_1(k3_waybel_4(A))))
        & v5_orders_3(k10_waybel_4(A),k8_waybel_4(A),k2_yellow_1(k3_waybel_4(A))) ) ) ),
    file(waybel_4,fc18_waybel_4),
    []).

fof(fc1_struct_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ~ v1_xboole_0(u1_struct_0(A)) ) ),
    file(struct_0,fc1_struct_0),
    []).

fof(fc1_subset_1,axiom,(
    ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ),
    file(subset_1,fc1_subset_1),
    []).

fof(fc1_xboole_0,axiom,(
    v1_xboole_0(k1_xboole_0) ),
    file(xboole_0,fc1_xboole_0),
    []).

fof(fc2_subset_1,axiom,(
    ! [A] : ~ v1_xboole_0(k1_tarski(A)) ),
    file(subset_1,fc2_subset_1),
    []).

fof(fc3_subset_1,axiom,(
    ! [A,B] : ~ v1_xboole_0(k2_tarski(A,B)) ),
    file(subset_1,fc3_subset_1),
    []).

fof(fc3_yellow_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & l1_orders_2(A) )
     => ~ v1_xboole_0(k8_waybel_0(A)) ) ),
    file(yellow_2,fc3_yellow_2),
    []).

fof(fc4_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) ),
    file(subset_1,fc4_subset_1),
    []).

fof(fc4_yellow_2,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k2_yellow_1(k8_waybel_0(A)))
        & v1_orders_2(k2_yellow_1(k8_waybel_0(A)))
        & v2_orders_2(k2_yellow_1(k8_waybel_0(A)))
        & v3_orders_2(k2_yellow_1(k8_waybel_0(A)))
        & v4_orders_2(k2_yellow_1(k8_waybel_0(A)))
        & v2_lattice3(k2_yellow_1(k8_waybel_0(A))) ) ) ),
    file(yellow_2,fc4_yellow_2),
    []).

fof(fc5_waybel_4,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ~ v1_xboole_0(k3_waybel_4(A)) ) ),
    file(waybel_4,fc5_waybel_4),
    []).

fof(fc5_yellow_1,axiom,(
    ! [A] : 
      ( v1_orders_2(k2_yellow_1(A))
      & v2_orders_2(k2_yellow_1(A))
      & v3_orders_2(k2_yellow_1(A))
      & v4_orders_2(k2_yellow_1(A)) ) ),
    file(yellow_1,fc5_yellow_1),
    []).

fof(fc5_yellow_2,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k2_yellow_1(k8_waybel_0(A)))
        & v1_orders_2(k2_yellow_1(k8_waybel_0(A)))
        & v2_orders_2(k2_yellow_1(k8_waybel_0(A)))
        & v3_orders_2(k2_yellow_1(k8_waybel_0(A)))
        & v4_orders_2(k2_yellow_1(k8_waybel_0(A)))
        & v1_lattice3(k2_yellow_1(k8_waybel_0(A))) ) ) ),
    file(yellow_2,fc5_yellow_2),
    []).

fof(fc6_waybel_4,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k2_yellow_1(k3_waybel_4(A)))
        & v1_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v2_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v3_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v4_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v2_yellow_0(k2_yellow_1(k3_waybel_4(A))) ) ) ),
    file(waybel_4,fc6_waybel_4),
    []).

fof(fc6_yellow_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ( ~ v3_struct_0(k2_yellow_1(A))
        & v1_orders_2(k2_yellow_1(A))
        & v2_orders_2(k2_yellow_1(A))
        & v3_orders_2(k2_yellow_1(A))
        & v4_orders_2(k2_yellow_1(A)) ) ) ),
    file(yellow_1,fc6_yellow_1),
    []).

fof(fc6_yellow_2,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k2_yellow_1(k8_waybel_0(A)))
        & v1_orders_2(k2_yellow_1(k8_waybel_0(A)))
        & v2_orders_2(k2_yellow_1(k8_waybel_0(A)))
        & v3_orders_2(k2_yellow_1(k8_waybel_0(A)))
        & v4_orders_2(k2_yellow_1(k8_waybel_0(A)))
        & v1_yellow_0(k2_yellow_1(k8_waybel_0(A)))
        & v2_yellow_0(k2_yellow_1(k8_waybel_0(A)))
        & v3_yellow_0(k2_yellow_1(k8_waybel_0(A)))
        & v24_waybel_0(k2_yellow_1(k8_waybel_0(A)))
        & v25_waybel_0(k2_yellow_1(k8_waybel_0(A)))
        & v1_lattice3(k2_yellow_1(k8_waybel_0(A)))
        & v2_lattice3(k2_yellow_1(k8_waybel_0(A)))
        & v3_lattice3(k2_yellow_1(k8_waybel_0(A))) ) ) ),
    file(yellow_2,fc6_yellow_2),
    []).

fof(fc8_waybel_4,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k2_yellow_1(k3_waybel_4(A)))
        & v1_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v2_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v3_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v4_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v1_yellow_0(k2_yellow_1(k3_waybel_4(A)))
        & v2_yellow_0(k2_yellow_1(k3_waybel_4(A))) ) ) ),
    file(waybel_4,fc8_waybel_4),
    []).

fof(fc9_waybel_4,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k2_yellow_1(k3_waybel_4(A)))
        & v1_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v2_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v3_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v4_orders_2(k2_yellow_1(k3_waybel_4(A)))
        & v1_yellow_0(k2_yellow_1(k3_waybel_4(A)))
        & v2_yellow_0(k2_yellow_1(k3_waybel_4(A)))
        & v2_lattice3(k2_yellow_1(k3_waybel_4(A))) ) ) ),
    file(waybel_4,fc9_waybel_4),
    []).

fof(fraenkel_a_1_0_waybel_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & l1_orders_2(B) )
     => ( r2_hidden(A,a_1_0_waybel_0(B))
      <=> ? [C] : 
            ( ~ v1_xboole_0(C)
            & v1_waybel_0(C,B)
            & v12_waybel_0(C,B)
            & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
            & A = C ) ) ) ),
    file(waybel_0,a_1_0_waybel_0),
    []).

fof(fraenkel_a_3_0_waybel_4,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(B)
        & l1_orders_2(B)
        & m1_subset_1(C,u1_struct_0(B))
        & m2_relset_1(D,u1_struct_0(B),u1_struct_0(B)) )
     => ( r2_hidden(A,a_3_0_waybel_4(B,C,D))
      <=> ? [E] : 
            ( m1_subset_1(E,u1_struct_0(B))
            & A = E
            & r2_hidden(k4_tarski(E,C),D) ) ) ) ),
    file(waybel_4,a_3_0_waybel_4),
    []).

fof(free_g1_orders_2,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,A,A)
     => ! [C,D] : 
          ( g1_orders_2(A,B) = g1_orders_2(C,D)
         => ( A = C
            & B = D ) ) ) ),
    file(orders_2,g1_orders_2),
    []).

fof(rc13_waybel_0,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A)
      & v1_yellow_0(A)
      & v2_yellow_0(A)
      & v3_yellow_0(A)
      & v24_waybel_0(A)
      & v25_waybel_0(A) ) ),
    file(waybel_0,rc13_waybel_0),
    []).

fof(rc1_lattice3,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v3_lattice3(A) ) ),
    file(lattice3,rc1_lattice3),
    []).

fof(rc1_subset_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B) ) ) ),
    file(subset_1,rc1_subset_1),
    []).

fof(rc1_waybel_4,axiom,(
    ! [A] : 
      ( ( v3_orders_2(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ? [B] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
          & v1_relat_1(B)
          & v1_waybel_4(B,A)
          & v2_waybel_4(B,A)
          & v3_waybel_4(B,A)
          & v4_waybel_4(B,A)
          & v5_waybel_4(B,A) ) ) ),
    file(waybel_4,rc1_waybel_4),
    []).

fof(rc1_xboole_0,axiom,(
    ? [A] : v1_xboole_0(A) ),
    file(xboole_0,rc1_xboole_0),
    []).

fof(rc2_lattice3,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A) ) ),
    file(lattice3,rc2_lattice3),
    []).

fof(rc2_partfun1,axiom,(
    ! [A,B] : 
    ? [C] : 
      ( m1_relset_1(C,A,B)
      & v1_relat_1(C)
      & v1_funct_1(C) ) ),
    file(partfun1,rc2_partfun1),
    []).

fof(rc2_subset_1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
      & v1_xboole_0(B) ) ),
    file(subset_1,rc2_subset_1),
    []).

fof(rc2_waybel_4,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] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
          & v1_relat_1(B)
          & v8_relat_2(B)
          & v1_waybel_4(B,A)
          & v2_waybel_4(B,A)
          & v3_waybel_4(B,A)
          & v4_waybel_4(B,A)
          & v5_waybel_4(B,A)
          & v6_waybel_4(B,A) ) ) ),
    file(waybel_4,rc2_waybel_4),
    []).

fof(rc2_xboole_0,axiom,(
    ? [A] : ~ v1_xboole_0(A) ),
    file(xboole_0,rc2_xboole_0),
    []).

fof(rc3_struct_0,axiom,(
    ? [A] : 
      ( l1_struct_0(A)
      & ~ v3_struct_0(A) ) ),
    file(struct_0,rc3_struct_0),
    []).

fof(rc5_struct_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & ~ v1_xboole_0(B) ) ) ),
    file(struct_0,rc5_struct_0),
    []).

fof(rc9_waybel_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_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_0(B,A)
          & v12_waybel_0(B,A) ) ) ),
    file(waybel_0,rc9_waybel_0),
    []).

fof(redefinition_k1_waybel_0,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & l1_struct_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(A)) )
     => k1_waybel_0(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(waybel_0,k1_waybel_0),
    []).

fof(redefinition_m2_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
    <=> m1_relset_1(C,A,B) ) ),
    file(relset_1,m2_relset_1),
    []).

fof(reflexivity_r1_tarski,axiom,(
    ! [A,B] : r1_tarski(A,A) ),
    file(tarski,r1_tarski),
    []).

fof(t13_waybel_4,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
         => ! [C,D] : 
              ( m1_subset_1(D,u1_struct_0(A))
             => ( r2_hidden(C,k5_waybel_4(A,D,B))
              <=> r2_hidden(k4_tarski(C,D),B) ) ) ) ) ),
    file(waybel_4,t13_waybel_4),
    []).

fof(t1_subset,axiom,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => m1_subset_1(A,B) ) ),
    file(subset,t1_subset),
    []).

fof(t2_subset,axiom,(
    ! [A,B] : 
      ( m1_subset_1(A,B)
     => ( v1_xboole_0(B)
        | r2_hidden(A,B) ) ) ),
    file(subset,t2_subset),
    []).

fof(t2_tarski,axiom,(
    ! [A,B] : 
      ( ! [C] : 
          ( r2_hidden(C,A)
        <=> r2_hidden(C,B) )
     => A = B ) ),
    file(tarski,t2_tarski),
    []).

fof(t3_subset,axiom,(
    ! [A,B] : 
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ) ),
    file(subset,t3_subset),
    []).

fof(t4_subset,axiom,(
    ! [A,B,C] : 
      ( ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C)) )
     => m1_subset_1(A,C) ) ),
    file(subset,t4_subset),
    []).

fof(t5_subset,axiom,(
    ! [A,B,C] : ~ ( r2_hidden(A,B)
      & m1_subset_1(B,k1_zfmisc_1(C))
      & v1_xboole_0(C) ) ),
    file(subset,t5_subset),
    []).

fof(t6_boole,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => A = k1_xboole_0 ) ),
    file(boole,t6_boole),
    []).

fof(t7_boole,axiom,(
    ! [A,B] : ~ ( r2_hidden(A,B)
      & v1_xboole_0(B) ) ),
    file(boole,t7_boole),
    []).

fof(t8_boole,axiom,(
    ! [A,B] : ~ ( v1_xboole_0(A)
      & A != B
      & v1_xboole_0(B) ) ),
    file(boole,t8_boole),
    []).