% Mizar problem: t20_waybel28,waybel28,821,39 
fof(t20_waybel28,conjecture,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v3_waybel_3(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_lattice3(A)
        & l1_orders_2(A) )
     => v6_yellow_6(k3_waybel28(A),A) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v6_waybel_0,antisymmetry_r2_hidden,cc10_membered,cc10_waybel_0,cc11_membered,cc11_waybel_0,cc12_membered,cc12_waybel_0,cc13_membered,cc13_waybel_0,cc14_membered,cc14_waybel_0,cc15_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_classes2,cc1_lattice3,cc1_membered,cc1_relset_1,cc1_yellow_6,cc20_membered,cc2_classes2,cc2_lattice3,cc2_membered,cc2_yellow_6,cc3_classes2,cc3_membered,cc4_membered,cc4_waybel_3,cc5_waybel_3,cc7_yellow_6,cc8_yellow_6,cc9_waybel_0,cc9_yellow_6,commutativity_k2_tarski,d14_yellow_6,d21_yellow_6,d25_yellow_6,d2_yellow_0,d3_waybel28,d3_yellow_0,d3_yellow_6,d5_tarski,d6_waybel11,d7_waybel11,d8_waybel11,dt_g1_waybel_0,dt_k1_classes1,dt_k1_tarski,dt_k1_waybel11,dt_k1_waybel28,dt_k1_xboole_0,dt_k1_yellow_0,dt_k1_zfmisc_1,dt_k2_tarski,dt_k2_waybel11,dt_k2_waybel28,dt_k2_waybel_9,dt_k2_yellow_0,dt_k2_yellow_6,dt_k2_zfmisc_1,dt_k3_waybel28,dt_k3_waybel_0,dt_k4_tarski,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_m2_yellow_6,dt_m4_yellow_6,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,existence_m2_yellow_6,existence_m4_yellow_6,fc10_membered,fc11_membered,fc12_membered,fc12_waybel11,fc13_membered,fc13_waybel11,fc14_membered,fc14_waybel11,fc15_membered,fc15_yellow_6,fc16_membered,fc18_yellow_6,fc1_classes2,fc1_struct_0,fc1_subset_1,fc1_waybel28,fc1_yellow_6,fc2_subset_1,fc2_waybel28,fc2_yellow_6,fc3_classes2,fc3_subset_1,fc4_subset_1,fc5_classes2,fc6_classes2,fc6_membered,fc6_waybel_0,fc7_membered,fc8_membered,fc9_membered,fraenkel_a_2_1_waybel11,fraenkel_a_3_0_waybel11,free_g1_waybel_0,rc11_yellow_6,rc1_classes2,rc1_membered,rc1_subset_1,rc1_waybel28,rc2_classes2,rc2_partfun1,rc2_subset_1,rc2_waybel28,rc3_struct_0,rc3_waybel28,rc4_waybel_0,rc5_struct_0,rc5_waybel_0,redefinition_k2_waybel28,redefinition_m2_relset_1,redefinition_r3_orders_2,reflexivity_r1_tarski,reflexivity_r3_orders_2,t106_zfmisc_1,t14_waybel28,t15_waybel28,t1_subset,t1_waybel28,t23_yellow_6,t2_subset,t2_tarski,t37_waybel21,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole]),
    [file(waybel28,t20_waybel28)]).

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(cc10_membered,axiom,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => v1_xcmplx_0(B) ) ) ),
    file(membered,cc10_membered),
    []).

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_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B) ) ) ) ),
    file(membered,cc11_membered),
    []).

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_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc12_membered),
    []).

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_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B)
            & v1_int_1(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc13_membered),
    []).

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_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v4_ordinal2(B)
            & v1_xreal_0(B)
            & v1_int_1(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc14_membered),
    []).

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(cc15_membered,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ( v1_membered(A)
        & v2_membered(A)
        & v3_membered(A)
        & v4_membered(A)
        & v5_membered(A) ) ) ),
    file(membered,cc15_membered),
    []).

fof(cc16_membered,axiom,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v1_membered(B) ) ) ),
    file(membered,cc16_membered),
    []).

fof(cc17_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B) ) ) ) ),
    file(membered,cc17_membered),
    []).

fof(cc18_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B) ) ) ) ),
    file(membered,cc18_membered),
    []).

fof(cc19_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B)
            & v4_membered(B) ) ) ) ),
    file(membered,cc19_membered),
    []).

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

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

fof(cc1_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => v4_membered(A) ) ),
    file(membered,cc1_membered),
    []).

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(cc20_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B)
            & v4_membered(B)
            & v5_membered(B) ) ) ) ),
    file(membered,cc20_membered),
    []).

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

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

fof(cc2_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => v3_membered(A) ) ),
    file(membered,cc2_membered),
    []).

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(cc3_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => v2_membered(A) ) ),
    file(membered,cc3_membered),
    []).

fof(cc4_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => v1_membered(A) ) ),
    file(membered,cc4_membered),
    []).

fof(cc4_waybel_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_waybel_3(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v24_waybel_0(A)
          & v2_waybel_3(A) ) ) ) ),
    file(waybel_3,cc4_waybel_3),
    []).

fof(cc5_waybel_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v1_yellow_0(A)
          & v24_waybel_0(A)
          & v2_waybel_3(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v1_yellow_0(A)
          & v3_waybel_3(A) ) ) ) ),
    file(waybel_3,cc5_waybel_3),
    []).

fof(cc7_yellow_6,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] : 
          ( m4_yellow_6(B,A)
         => v1_relat_1(B) ) ) ),
    file(yellow_6,cc7_yellow_6),
    []).

fof(cc8_yellow_6,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] : 
          ( m4_yellow_6(B,A)
         => ( v8_yellow_6(B,A)
           => ( v1_relat_1(B)
              & v4_yellow_6(B,A)
              & v5_yellow_6(B,A)
              & v6_yellow_6(B,A)
              & v7_yellow_6(B,A) ) ) ) ) ),
    file(yellow_6,cc8_yellow_6),
    []).

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(cc9_yellow_6,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] : 
          ( m4_yellow_6(B,A)
         => ( ( v4_yellow_6(B,A)
              & v5_yellow_6(B,A)
              & v6_yellow_6(B,A)
              & v7_yellow_6(B,A) )
           => ( v1_relat_1(B)
              & v8_yellow_6(B,A) ) ) ) ) ),
    file(yellow_6,cc9_yellow_6),
    []).

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

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(d21_yellow_6,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] : 
          ( m4_yellow_6(B,A)
        <=> r1_tarski(B,k2_zfmisc_1(k7_yellow_6(A),u1_struct_0(A))) ) ) ),
    file(yellow_6,d21_yellow_6),
    []).

fof(d25_yellow_6,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] : 
          ( m4_yellow_6(B,A)
         => ( v6_yellow_6(B,A)
          <=> ! [C] : 
                ( ( ~ v3_struct_0(C)
                  & v3_orders_2(C)
                  & v7_waybel_0(C)
                  & l1_waybel_0(C,A) )
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ~ ( r2_hidden(C,k7_yellow_6(A))
                        & ~ r2_hidden(k4_tarski(C,D),B)
                        & ! [E] : 
                            ( m2_yellow_6(E,A,C)
                           => ~ ( r2_hidden(E,k7_yellow_6(A))
                                & ! [F] : 
                                    ( m2_yellow_6(F,A,E)
                                   => ~ r2_hidden(k4_tarski(F,D),B) ) ) ) ) ) ) ) ) ) ),
    file(yellow_6,d25_yellow_6),
    []).

fof(d2_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v3_orders_2(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( ( r1_orders_2(A,B,C)
                        & r1_orders_2(A,C,D) )
                     => r1_orders_2(A,B,D) ) ) ) ) ) ) ),
    file(yellow_0,d2_yellow_0),
    []).

fof(d3_waybel28,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m4_yellow_6(B,A)
         => ( B = k3_waybel28(A)
          <=> ! [C] : 
                ( ( ~ v3_struct_0(C)
                  & v3_orders_2(C)
                  & v7_waybel_0(C)
                  & l1_waybel_0(C,A) )
               => ( r2_hidden(C,k7_yellow_6(A))
                 => ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(A))
                     => ( r2_hidden(k4_tarski(C,D),B)
                      <=> ! [E] : 
                            ( m2_yellow_6(E,A,C)
                           => D = k1_waybel11(A,E) ) ) ) ) ) ) ) ) ),
    file(waybel28,d3_waybel28),
    []).

fof(d3_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v4_orders_2(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ( ( r1_orders_2(A,B,C)
                    & r1_orders_2(A,C,B) )
                 => B = C ) ) ) ) ) ),
    file(yellow_0,d3_yellow_0),
    []).

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

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

fof(d6_waybel11,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => k1_waybel11(A,B) = k1_yellow_0(A,a_2_1_waybel11(A,B)) ) ) ),
    file(waybel11,d6_waybel11),
    []).

fof(d7_waybel11,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r1_waybel11(A,B,C)
              <=> r3_orders_2(A,C,k1_waybel11(A,B)) ) ) ) ) ),
    file(waybel11,d7_waybel11),
    []).

fof(d8_waybel11,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m4_yellow_6(B,A)
         => ( B = k2_waybel11(A)
          <=> ! [C] : 
                ( ( ~ v3_struct_0(C)
                  & v3_orders_2(C)
                  & v6_waybel_0(C,A)
                  & v7_waybel_0(C)
                  & l1_waybel_0(C,A) )
               => ( r2_hidden(C,k7_yellow_6(A))
                 => ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(A))
                     => ( r2_hidden(k4_tarski(C,D),B)
                      <=> r1_waybel11(A,C,D) ) ) ) ) ) ) ) ),
    file(waybel11,d8_waybel11),
    []).

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

fof(dt_k1_waybel11,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v3_orders_2(B)
        & v7_waybel_0(B)
        & l1_waybel_0(B,A) )
     => m1_subset_1(k1_waybel11(A,B),u1_struct_0(A)) ) ),
    file(waybel11,k1_waybel11),
    []).

fof(dt_k1_waybel28,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & l1_waybel_0(B,A)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B))
        & m1_relset_1(C,u1_struct_0(B),u1_struct_0(B)) )
     => ( ~ v3_struct_0(k1_waybel28(A,B,C))
        & v6_waybel_0(k1_waybel28(A,B,C),A)
        & l1_waybel_0(k1_waybel28(A,B,C),A) ) ) ),
    file(waybel28,k1_waybel28),
    []).

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_waybel11,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => m4_yellow_6(k2_waybel11(A),A) ) ),
    file(waybel11,k2_waybel11),
    []).

fof(dt_k2_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_waybel_0(B,A)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B))
        & v1_waybel28(C,B)
        & m1_relset_1(C,u1_struct_0(B),u1_struct_0(B)) )
     => ( v6_waybel_0(k2_waybel28(A,B,C),A)
        & m2_yellow_6(k2_waybel28(A,B,C),A,B) ) ) ),
    file(waybel28,k2_waybel28),
    []).

fof(dt_k2_waybel_9,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & l1_waybel_0(B,A) )
     => m1_subset_1(k2_waybel_9(A,B),u1_struct_0(A)) ) ),
    file(waybel_9,k2_waybel_9),
    []).

fof(dt_k2_yellow_0,axiom,(
    ! [A,B] : 
      ( l1_orders_2(A)
     => m1_subset_1(k2_yellow_0(A,B),u1_struct_0(A)) ) ),
    file(yellow_0,k2_yellow_0),
    []).

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_k3_waybel28,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => m4_yellow_6(k3_waybel28(A),A) ) ),
    file(waybel28,k3_waybel28),
    []).

fof(dt_k3_waybel_0,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & l1_waybel_0(B,A)
        & m1_subset_1(C,u1_struct_0(B)) )
     => m1_subset_1(k3_waybel_0(A,B,C),u1_struct_0(A)) ) ),
    file(waybel_0,k3_waybel_0),
    []).

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

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_m2_yellow_6,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & v3_orders_2(B)
        & v7_waybel_0(B)
        & l1_waybel_0(B,A) )
     => ! [C] : 
          ( m2_yellow_6(C,A,B)
         => ( ~ v3_struct_0(C)
            & v3_orders_2(C)
            & v7_waybel_0(C)
            & l1_waybel_0(C,A) ) ) ) ),
    file(yellow_6,m2_yellow_6),
    []).

fof(dt_m4_yellow_6,axiom,(
    $true ),
    file(yellow_6,m4_yellow_6),
    []).

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(existence_m2_yellow_6,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & v3_orders_2(B)
        & v7_waybel_0(B)
        & l1_waybel_0(B,A) )
     => ? [C] : m2_yellow_6(C,A,B) ) ),
    file(yellow_6,m2_yellow_6),
    []).

fof(existence_m4_yellow_6,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ? [B] : m4_yellow_6(B,A) ) ),
    file(yellow_6,m4_yellow_6),
    []).

fof(fc10_membered,axiom,(
    ! [A] : 
      ( v1_int_1(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A))
        & v4_membered(k1_tarski(A)) ) ) ),
    file(membered,fc10_membered),
    []).

fof(fc11_membered,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A))
        & v4_membered(k1_tarski(A))
        & v5_membered(k1_tarski(A)) ) ) ),
    file(membered,fc11_membered),
    []).

fof(fc12_membered,axiom,(
    ! [A,B] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B) )
     => v1_membered(k2_tarski(A,B)) ) ),
    file(membered,fc12_membered),
    []).

fof(fc12_waybel11,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) )
     => ( v1_relat_1(k2_waybel11(A))
        & v4_yellow_6(k2_waybel11(A),A) ) ) ),
    file(waybel11,fc12_waybel11),
    []).

fof(fc13_membered,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc13_membered),
    []).

fof(fc13_waybel11,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) )
     => ( v1_relat_1(k2_waybel11(A))
        & v4_yellow_6(k2_waybel11(A),A)
        & v5_yellow_6(k2_waybel11(A),A) ) ) ),
    file(waybel11,fc13_waybel11),
    []).

fof(fc14_membered,axiom,(
    ! [A,B] : 
      ( ( v1_rat_1(A)
        & v1_rat_1(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B))
        & v3_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc14_membered),
    []).

fof(fc14_waybel11,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v3_waybel_3(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_lattice3(A)
        & l1_orders_2(A) )
     => ( v1_relat_1(k2_waybel11(A))
        & v4_yellow_6(k2_waybel11(A),A)
        & v5_yellow_6(k2_waybel11(A),A)
        & v6_yellow_6(k2_waybel11(A),A)
        & v7_yellow_6(k2_waybel11(A),A)
        & v8_yellow_6(k2_waybel11(A),A) ) ) ),
    file(waybel11,fc14_waybel11),
    []).

fof(fc15_membered,axiom,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_int_1(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B))
        & v3_membered(k2_tarski(A,B))
        & v4_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc15_membered),
    []).

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(fc16_membered,axiom,(
    ! [A,B] : 
      ( ( v4_ordinal2(A)
        & v4_ordinal2(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B))
        & v3_membered(k2_tarski(A,B))
        & v4_membered(k2_tarski(A,B))
        & v5_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc16_membered),
    []).

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_subset_1,axiom,(
    ! [A] : ~ v1_xboole_0(k1_tarski(A)) ),
    file(subset_1,fc2_subset_1),
    []).

fof(fc2_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_waybel_0(B,A)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B))
        & m1_relset_1(C,u1_struct_0(B),u1_struct_0(B)) )
     => ( ~ v3_struct_0(k1_waybel28(A,B,C))
        & v3_orders_2(k1_waybel28(A,B,C))
        & v6_waybel_0(k1_waybel28(A,B,C),A)
        & v7_waybel_0(k1_waybel28(A,B,C)) ) ) ),
    file(waybel28,fc2_waybel28),
    []).

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(fc3_subset_1,axiom,(
    ! [A,B] : ~ v1_xboole_0(k2_tarski(A,B)) ),
    file(subset_1,fc3_subset_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_membered,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_membered(k1_xboole_0)
    & v2_membered(k1_xboole_0)
    & v3_membered(k1_xboole_0)
    & v4_membered(k1_xboole_0)
    & v5_membered(k1_xboole_0) ),
    file(membered,fc6_membered),
    []).

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(fc7_membered,axiom,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => v1_membered(k1_tarski(A)) ) ),
    file(membered,fc7_membered),
    []).

fof(fc8_membered,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A)) ) ) ),
    file(membered,fc8_membered),
    []).

fof(fc9_membered,axiom,(
    ! [A] : 
      ( v1_rat_1(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A)) ) ) ),
    file(membered,fc9_membered),
    []).

fof(fraenkel_a_2_1_waybel11,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(B)
        & l1_orders_2(B)
        & ~ v3_struct_0(C)
        & v3_orders_2(C)
        & v7_waybel_0(C)
        & l1_waybel_0(C,B) )
     => ( r2_hidden(A,a_2_1_waybel11(B,C))
      <=> ? [D] : 
            ( m1_subset_1(D,u1_struct_0(C))
            & A = k2_yellow_0(B,a_3_0_waybel11(B,C,D)) ) ) ) ),
    file(waybel11,a_2_1_waybel11),
    []).

fof(fraenkel_a_3_0_waybel11,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(B)
        & l1_orders_2(B)
        & ~ v3_struct_0(C)
        & v3_orders_2(C)
        & v7_waybel_0(C)
        & l1_waybel_0(C,B)
        & m1_subset_1(D,u1_struct_0(C)) )
     => ( r2_hidden(A,a_3_0_waybel11(B,C,D))
      <=> ? [E] : 
            ( m1_subset_1(E,u1_struct_0(C))
            & A = k3_waybel_0(B,C,E)
            & r1_orders_2(C,D,E) ) ) ) ),
    file(waybel11,a_3_0_waybel11),
    []).

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(rc11_yellow_6,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ? [B] : 
          ( m4_yellow_6(B,A)
          & ~ v1_xboole_0(B)
          & v1_relat_1(B)
          & v8_yellow_6(B,A) ) ) ),
    file(yellow_6,rc11_yellow_6),
    []).

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_membered,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_membered(A)
      & v2_membered(A)
      & v3_membered(A)
      & v4_membered(A)
      & v5_membered(A) ) ),
    file(membered,rc1_membered),
    []).

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_waybel28,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v7_waybel_0(A)
        & l1_orders_2(A) )
     => ? [B] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
          & v1_waybel28(B,A) ) ) ),
    file(waybel28,rc1_waybel28),
    []).

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_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_waybel28,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ? [B] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
          & v1_waybel28(B,A) ) ) ),
    file(waybel28,rc2_waybel28),
    []).

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

fof(rc3_waybel28,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & v3_orders_2(B)
        & v7_waybel_0(B)
        & l1_waybel_0(B,A) )
     => ? [C] : 
          ( m2_yellow_6(C,A,B)
          & ~ v3_struct_0(C)
          & v3_orders_2(C)
          & v6_waybel_0(C,A)
          & v7_waybel_0(C) ) ) ),
    file(waybel28,rc3_waybel28),
    []).

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(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(rc5_waybel_0,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ? [B] : 
          ( l1_waybel_0(B,A)
          & ~ v3_struct_0(B)
          & v2_orders_2(B)
          & v3_orders_2(B)
          & v4_orders_2(B)
          & v6_waybel_0(B,A)
          & v7_waybel_0(B) ) ) ),
    file(waybel_0,rc5_waybel_0),
    []).

fof(redefinition_k2_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_waybel_0(B,A)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B))
        & v1_waybel28(C,B)
        & m1_relset_1(C,u1_struct_0(B),u1_struct_0(B)) )
     => k2_waybel28(A,B,C) = k1_waybel28(A,B,C) ) ),
    file(waybel28,k2_waybel28),
    []).

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(redefinition_r3_orders_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => ( r3_orders_2(A,B,C)
      <=> r1_orders_2(A,B,C) ) ) ),
    file(orders_2,r3_orders_2),
    []).

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

fof(reflexivity_r3_orders_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => r3_orders_2(A,B,B) ) ),
    file(orders_2,r3_orders_2),
    []).

fof(t106_zfmisc_1,axiom,(
    ! [A,B,C,D] : 
      ( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D))
    <=> ( r2_hidden(A,C)
        & r2_hidden(B,D) ) ) ),
    file(zfmisc_1,t106_zfmisc_1),
    []).

fof(t14_waybel28,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] : 
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ( ( r2_hidden(B,k7_yellow_6(A))
                  & C = k1_waybel11(A,B)
                  & ! [D] : 
                      ( m2_yellow_6(D,A,B)
                     => ( r2_hidden(D,k7_yellow_6(A))
                       => r1_orders_2(A,k2_waybel_9(A,D),C) ) ) )
               => ( C = k1_waybel11(A,B)
                  & ! [D] : 
                      ( ( v1_funct_1(D)
                        & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B))
                        & v1_waybel28(D,B)
                        & m2_relset_1(D,u1_struct_0(B),u1_struct_0(B)) )
                     => r1_orders_2(A,k2_waybel_9(A,k2_waybel28(A,B,D)),C) ) ) ) ) ) ) ),
    file(waybel28,t14_waybel28),
    []).

fof(t15_waybel28,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] : 
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ( ( C = k1_waybel11(A,B)
                  & ! [D] : 
                      ( ( v1_funct_1(D)
                        & v1_funct_2(D,u1_struct_0(B),u1_struct_0(B))
                        & v1_waybel28(D,B)
                        & m2_relset_1(D,u1_struct_0(B),u1_struct_0(B)) )
                     => r1_orders_2(A,k2_waybel_9(A,k2_waybel28(A,B,D)),C) ) )
               => ! [D] : 
                    ( m2_yellow_6(D,A,B)
                   => C = k1_waybel11(A,D) ) ) ) ) ) ),
    file(waybel28,t15_waybel28),
    []).

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

fof(t1_waybel28,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] : 
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => r3_orders_2(A,k2_waybel_9(A,B),k1_waybel11(A,B)) ) ) ),
    file(waybel28,t1_waybel28),
    []).

fof(t23_yellow_6,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => m2_yellow_6(B,A,B) ) ) ),
    file(yellow_6,t23_yellow_6),
    []).

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(t37_waybel21,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] : 
          ( ( ~ v3_struct_0(B)
            & v3_orders_2(B)
            & v7_waybel_0(B)
            & l1_waybel_0(B,A) )
         => ! [C] : 
              ( m2_yellow_6(C,A,B)
             => r3_orders_2(A,k1_waybel11(A,B),k1_waybel11(A,C)) ) ) ) ),
    file(waybel21,t37_waybel21),
    []).

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),
    []).