% Mizar problem: t3_waybel33,waybel33,183,34 
fof(t3_waybel33,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l1_struct_0(B) )
         => ( u1_struct_0(A) = u1_struct_0(B)
           => ! [C] : 
                ( l1_waybel_0(C,A)
               => ~ ( r2_hidden(C,k7_yellow_6(A))
                    & ! [D] : 
                        ( ( ~ v3_struct_0(D)
                          & v3_orders_2(D)
                          & v6_waybel_0(D,B)
                          & v7_waybel_0(D)
                          & l1_waybel_0(D,B) )
                       => ~ ( r2_hidden(D,k7_yellow_6(B))
                            & g1_orders_2(u1_struct_0(C),u1_orders_2(C)) = g1_orders_2(u1_struct_0(D),u1_orders_2(D))
                            & u1_waybel_0(A,C) = u1_waybel_0(B,D) ) ) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_orders_2,abstractness_v6_waybel_0,antisymmetry_r2_hidden,cc1_classes2,cc1_finset_1,cc1_funct_1,cc1_relat_1,cc1_relset_1,cc1_yellow_6,cc2_classes2,cc2_finset_1,cc2_funct_1,cc2_yellow_6,cc3_classes2,d14_yellow_6,d3_yellow_6,dt_g1_orders_2,dt_g1_waybel_0,dt_k1_classes1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_yellow_6,dt_k2_zfmisc_1,dt_k5_classes1,dt_k7_yellow_6,dt_l1_orders_2,dt_l1_struct_0,dt_l1_waybel_0,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_u1_orders_2,dt_u1_struct_0,dt_u1_waybel_0,existence_l1_orders_2,existence_l1_struct_0,existence_l1_waybel_0,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,fc12_relat_1,fc14_finset_1,fc15_yellow_6,fc18_yellow_6,fc1_classes2,fc1_struct_0,fc1_subset_1,fc1_waybel28,fc1_yellow_6,fc2_yellow_6,fc3_classes2,fc4_relat_1,fc4_subset_1,fc5_classes2,fc6_classes2,fc6_waybel_0,free_g1_orders_2,free_g1_waybel_0,rc1_classes2,rc1_finset_1,rc1_funct_1,rc1_relat_1,rc1_subset_1,rc2_classes2,rc2_funct_1,rc2_relat_1,rc2_subset_1,rc2_waybel_7,rc3_finset_1,rc3_funct_1,rc3_relat_1,rc3_struct_0,rc3_waybel_7,rc4_finset_1,rc4_funct_1,rc4_waybel_0,rc4_yellow_6,rc5_struct_0,redefinition_m2_relset_1,reflexivity_r1_tarski,t1_subset,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole]),
    [file(waybel33,t3_waybel33)]).

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(abstractness_v6_waybel_0,axiom,(
    ! [A,B] : 
      ( ( l1_struct_0(A)
        & l1_waybel_0(B,A) )
     => ( v6_waybel_0(B,A)
       => B = g1_waybel_0(A,u1_struct_0(B),u1_orders_2(B),u1_waybel_0(A,B)) ) ) ),
    file(waybel_0,v6_waybel_0),
    []).

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

fof(cc1_classes2,axiom,(
    ! [A] : 
      ( v2_classes1(A)
     => v1_classes1(A) ) ),
    file(classes2,cc1_classes2),
    []).

fof(cc1_finset_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_finset_1(A) ) ),
    file(finset_1,cc1_finset_1),
    []).

fof(cc1_funct_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_funct_1(A) ) ),
    file(funct_1,cc1_funct_1),
    []).

fof(cc1_relat_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_relat_1(A) ) ),
    file(relat_1,cc1_relat_1),
    []).

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_yellow_6,axiom,(
    ! [A] : 
      ( v1_classes2(A)
     => ( v1_ordinal1(A)
        & v1_classes1(A)
        & v2_classes1(A)
        & v1_classes2(A) ) ) ),
    file(yellow_6,cc1_yellow_6),
    []).

fof(cc2_classes2,axiom,(
    ! [A] : 
      ( v1_classes2(A)
     => ( v1_ordinal1(A)
        & v1_classes1(A)
        & v2_classes1(A) ) ) ),
    file(classes2,cc2_classes2),
    []).

fof(cc2_finset_1,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v1_finset_1(B) ) ) ),
    file(finset_1,cc2_finset_1),
    []).

fof(cc2_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_xboole_0(A)
        & v1_funct_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v2_funct_1(A) ) ) ),
    file(funct_1,cc2_funct_1),
    []).

fof(cc2_yellow_6,axiom,(
    ! [A] : 
      ( ( v1_ordinal1(A)
        & v2_classes1(A) )
     => ( v1_ordinal1(A)
        & v1_classes1(A)
        & v2_classes1(A)
        & v1_classes2(A) ) ) ),
    file(yellow_6,cc2_yellow_6),
    []).

fof(cc3_classes2,axiom,(
    ! [A] : 
      ( ( v1_ordinal1(A)
        & v2_classes1(A) )
     => v1_classes2(A) ) ),
    file(classes2,cc3_classes2),
    []).

fof(d14_yellow_6,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] : 
          ( B = k7_yellow_6(A)
        <=> ! [C] : 
              ( r2_hidden(C,B)
            <=> ? [D] : 
                  ( ~ v3_struct_0(D)
                  & v3_orders_2(D)
                  & v6_waybel_0(D,A)
                  & v7_waybel_0(D)
                  & l1_waybel_0(D,A)
                  & D = C
                  & r2_hidden(u1_struct_0(D),k2_yellow_6(u1_struct_0(A))) ) ) ) ) ),
    file(yellow_6,d14_yellow_6),
    []).

fof(d3_yellow_6,axiom,(
    ! [A] : k2_yellow_6(A) = k1_classes1(k5_classes1(A)) ),
    file(yellow_6,d3_yellow_6),
    []).

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_g1_waybel_0,axiom,(
    ! [A,B,C,D] : 
      ( ( l1_struct_0(A)
        & m1_relset_1(C,B,B)
        & v1_funct_1(D)
        & v1_funct_2(D,B,u1_struct_0(A))
        & m1_relset_1(D,B,u1_struct_0(A)) )
     => ( v6_waybel_0(g1_waybel_0(A,B,C,D),A)
        & l1_waybel_0(g1_waybel_0(A,B,C,D),A) ) ) ),
    file(waybel_0,g1_waybel_0),
    []).

fof(dt_k1_classes1,axiom,(
    $true ),
    file(classes1,k1_classes1),
    []).

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

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

fof(dt_k2_yellow_6,axiom,(
    $true ),
    file(yellow_6,k2_yellow_6),
    []).

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

fof(dt_k5_classes1,axiom,(
    $true ),
    file(classes1,k5_classes1),
    []).

fof(dt_k7_yellow_6,axiom,(
    $true ),
    file(yellow_6,k7_yellow_6),
    []).

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_l1_waybel_0,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ! [B] : 
          ( l1_waybel_0(B,A)
         => l1_orders_2(B) ) ) ),
    file(waybel_0,l1_waybel_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(dt_u1_waybel_0,axiom,(
    ! [A,B] : 
      ( ( l1_struct_0(A)
        & l1_waybel_0(B,A) )
     => ( v1_funct_1(u1_waybel_0(A,B))
        & v1_funct_2(u1_waybel_0(A,B),u1_struct_0(B),u1_struct_0(A))
        & m2_relset_1(u1_waybel_0(A,B),u1_struct_0(B),u1_struct_0(A)) ) ) ),
    file(waybel_0,u1_waybel_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_l1_waybel_0,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ? [B] : l1_waybel_0(B,A) ) ),
    file(waybel_0,l1_waybel_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(fc12_relat_1,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0)
    & v3_relat_1(k1_xboole_0) ),
    file(relat_1,fc12_relat_1),
    []).

fof(fc14_finset_1,axiom,(
    ! [A,B] : 
      ( ( v1_finset_1(A)
        & v1_finset_1(B) )
     => v1_finset_1(k2_zfmisc_1(A,B)) ) ),
    file(finset_1,fc14_finset_1),
    []).

fof(fc15_yellow_6,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & l1_waybel_0(B,A) )
     => ( ~ v1_xboole_0(u1_waybel_0(A,B))
        & v1_relat_1(u1_waybel_0(A,B))
        & v1_funct_1(u1_waybel_0(A,B))
        & v1_funct_2(u1_waybel_0(A,B),u1_struct_0(B),u1_struct_0(A)) ) ) ),
    file(yellow_6,fc15_yellow_6),
    []).

fof(fc18_yellow_6,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ~ v1_xboole_0(k7_yellow_6(A)) ) ),
    file(yellow_6,fc18_yellow_6),
    []).

fof(fc1_classes2,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(k1_classes1(A))
      & v1_classes1(k1_classes1(A))
      & v2_classes1(k1_classes1(A)) ) ),
    file(classes2,fc1_classes2),
    []).

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_waybel28,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & v3_orders_2(B)
        & v7_waybel_0(B)
        & l1_orders_2(B)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
        & m1_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
     => ( ~ v3_struct_0(g1_waybel_0(A,u1_struct_0(B),u1_orders_2(B),C))
        & v3_orders_2(g1_waybel_0(A,u1_struct_0(B),u1_orders_2(B),C))
        & v6_waybel_0(g1_waybel_0(A,u1_struct_0(B),u1_orders_2(B),C),A)
        & v7_waybel_0(g1_waybel_0(A,u1_struct_0(B),u1_orders_2(B),C)) ) ) ),
    file(waybel28,fc1_waybel28),
    []).

fof(fc1_yellow_6,axiom,(
    ! [A] : 
      ( v1_ordinal1(k2_yellow_6(A))
      & v1_classes1(k2_yellow_6(A))
      & v2_classes1(k2_yellow_6(A))
      & v1_classes2(k2_yellow_6(A)) ) ),
    file(yellow_6,fc1_yellow_6),
    []).

fof(fc2_yellow_6,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(k2_yellow_6(A))
      & v1_ordinal1(k2_yellow_6(A))
      & v1_classes1(k2_yellow_6(A))
      & v2_classes1(k2_yellow_6(A))
      & v1_classes2(k2_yellow_6(A)) ) ),
    file(yellow_6,fc2_yellow_6),
    []).

fof(fc3_classes2,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_classes2(A) )
     => ( v1_ordinal1(k1_classes1(A))
        & ~ v1_xboole_0(k1_classes1(A))
        & v1_classes1(k1_classes1(A))
        & v2_classes1(k1_classes1(A))
        & v1_classes2(k1_classes1(A)) ) ) ),
    file(classes2,fc3_classes2),
    []).

fof(fc4_relat_1,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0) ),
    file(relat_1,fc4_relat_1),
    []).

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(fc5_classes2,axiom,(
    ! [A] : v1_ordinal1(k5_classes1(A)) ),
    file(classes2,fc5_classes2),
    []).

fof(fc6_classes2,axiom,(
    ! [A] : 
      ( v1_ordinal1(A)
     => ( v1_ordinal1(k1_classes1(A))
        & ~ v1_xboole_0(k1_classes1(A))
        & v1_classes1(k1_classes1(A))
        & v2_classes1(k1_classes1(A))
        & v1_classes2(k1_classes1(A)) ) ) ),
    file(classes2,fc6_classes2),
    []).

fof(fc6_waybel_0,axiom,(
    ! [A,B,C,D] : 
      ( ( l1_struct_0(A)
        & ~ v1_xboole_0(B)
        & m1_relset_1(C,B,B)
        & v1_funct_1(D)
        & v1_funct_2(D,B,u1_struct_0(A))
        & m1_relset_1(D,B,u1_struct_0(A)) )
     => ( ~ v3_struct_0(g1_waybel_0(A,B,C,D))
        & v6_waybel_0(g1_waybel_0(A,B,C,D),A) ) ) ),
    file(waybel_0,fc6_waybel_0),
    []).

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(free_g1_waybel_0,axiom,(
    ! [A,B,C,D] : 
      ( ( l1_struct_0(A)
        & m1_relset_1(C,B,B)
        & v1_funct_1(D)
        & v1_funct_2(D,B,u1_struct_0(A))
        & m1_relset_1(D,B,u1_struct_0(A)) )
     => ! [E,F,G,H] : 
          ( g1_waybel_0(A,B,C,D) = g1_waybel_0(E,F,G,H)
         => ( A = E
            & B = F
            & C = G
            & D = H ) ) ) ),
    file(waybel_0,g1_waybel_0),
    []).

fof(rc1_classes2,axiom,(
    ? [A] : 
      ( v1_ordinal1(A)
      & ~ v1_xboole_0(A)
      & v1_classes1(A)
      & v2_classes1(A)
      & v1_classes2(A) ) ),
    file(classes2,rc1_classes2),
    []).

fof(rc1_finset_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_finset_1(A) ) ),
    file(finset_1,rc1_finset_1),
    []).

fof(rc1_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc1_funct_1),
    []).

fof(rc1_relat_1,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A) ) ),
    file(relat_1,rc1_relat_1),
    []).

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(rc2_classes2,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_classes2(A) )
     => ? [B] : 
          ( m1_subset_1(B,A)
          & ~ v1_xboole_0(B) ) ) ),
    file(classes2,rc2_classes2),
    []).

fof(rc2_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_xboole_0(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc2_funct_1),
    []).

fof(rc2_relat_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A) ) ),
    file(relat_1,rc2_relat_1),
    []).

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_7,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
      & ~ v1_xboole_0(B)
      & v1_finset_1(B) ) ),
    file(waybel_7,rc2_waybel_7),
    []).

fof(rc3_finset_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B)
          & v1_finset_1(B) ) ) ),
    file(finset_1,rc3_finset_1),
    []).

fof(rc3_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A) ) ),
    file(funct_1,rc3_funct_1),
    []).

fof(rc3_relat_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v3_relat_1(A) ) ),
    file(relat_1,rc3_relat_1),
    []).

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

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) ) ) ),
    file(waybel_7,rc3_waybel_7),
    []).

fof(rc4_finset_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B)
          & v1_finset_1(B) ) ) ),
    file(finset_1,rc4_finset_1),
    []).

fof(rc4_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v3_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc4_funct_1),
    []).

fof(rc4_waybel_0,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ? [B] : 
          ( l1_waybel_0(B,A)
          & v6_waybel_0(B,A) ) ) ),
    file(waybel_0,rc4_waybel_0),
    []).

fof(rc4_yellow_6,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v3_orders_2(A)
      & v7_waybel_0(A) ) ),
    file(yellow_6,rc4_yellow_6),
    []).

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(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(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(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),
    []).