% Mizar problem: t20_yellow21,yellow21,1913,74 
fof(t20_yellow21,conjecture,(
    ! [A] : 
      ( ~ v2_setfam_1(A)
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(k8_yellow21(A)))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(k8_yellow21(A)))
             => ! [D] : 
                  ( r2_hidden(D,k1_altcat_1(k8_yellow21(A),B,C))
                <=> ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k4_yellow21(k8_yellow21(A),B)),u1_struct_0(k4_yellow21(k8_yellow21(A),C)))
                    & v22_waybel_0(D,k4_yellow21(k8_yellow21(A),B),k4_yellow21(k8_yellow21(A),C))
                    & m2_relset_1(D,u1_struct_0(k4_yellow21(k8_yellow21(A),B)),u1_struct_0(k4_yellow21(k8_yellow21(A),C))) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v6_altcat_1,antisymmetry_r2_hidden,cc10_waybel_0,cc10_yellow21,cc11_waybel_0,cc11_yellow21,cc12_waybel_0,cc13_waybel_0,cc14_waybel_0,cc1_altcat_2,cc1_funct_1,cc1_lattice3,cc1_ordinal1,cc1_realset1,cc1_relset_1,cc1_setfam_1,cc1_waybel17,cc1_yellow21,cc2_altcat_2,cc2_funct_1,cc2_functor0,cc2_lattice3,cc2_ordinal1,cc2_setfam_1,cc2_yellow18,cc2_yellow21,cc3_altcat_2,cc3_ordinal1,cc3_yellow18,cc4_altcat_2,cc4_yellow18,cc4_yellow21,cc5_yellow21,cc6_yellow21,cc7_yellow21,cc8_yellow21,cc9_waybel_0,cc9_yellow21,commutativity_k2_tarski,d1_binop_1,d2_altcat_1,d5_tarski,dt_g2_altcat_1,dt_k1_altcat_1,dt_k1_binop_1,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k1_yellow21,dt_k1_zfmisc_1,dt_k2_altcat_1,dt_k2_tarski,dt_k2_zfmisc_1,dt_k3_altcat_1,dt_k3_zfmisc_1,dt_k4_tarski,dt_k4_yellow21,dt_k6_yellow21,dt_k7_yellow21,dt_k8_yellow21,dt_l1_altcat_1,dt_l1_orders_2,dt_l1_struct_0,dt_l2_altcat_1,dt_m1_altcat_2,dt_m1_pboole,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_m3_pboole,dt_u1_altcat_1,dt_u1_struct_0,dt_u2_altcat_1,existence_l1_altcat_1,existence_l1_orders_2,existence_l1_struct_0,existence_l2_altcat_1,existence_m1_altcat_2,existence_m1_pboole,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,existence_m3_pboole,fc1_altcat_4,fc1_struct_0,fc1_subset_1,fc2_ordinal1,fc2_setfam_1,fc2_subset_1,fc3_realset1,fc3_setfam_1,fc3_subset_1,fc4_subset_1,fc5_subset_1,fc7_yellow21,fc8_yellow21,free_g2_altcat_1,rc10_altcat_2,rc1_altcat_4,rc1_funct_1,rc1_ordinal1,rc1_realset1,rc1_setfam_1,rc1_subset_1,rc1_waybel10,rc1_yellow21,rc2_altcat_2,rc2_funct_1,rc2_ordinal1,rc2_realset1,rc2_setfam_1,rc2_subset_1,rc2_yellow21,rc3_altcat_2,rc3_funct_1,rc3_ordinal1,rc3_setfam_1,rc3_struct_0,rc4_altcat_2,rc4_funct_1,rc5_altcat_2,rc5_struct_0,rc6_altcat_2,rc7_altcat_2,rc7_functor0,rc8_altcat_2,rc9_altcat_2,redefinition_k4_yellow21,redefinition_m2_relset_1,reflexivity_r1_tarski,t19_yellow21,t1_subset,t29_altcat_2,t2_subset,t30_altcat_2,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole]),
    [file(yellow21,t20_yellow21)]).

fof(abstractness_v6_altcat_1,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => ( v6_altcat_1(A)
       => A = g2_altcat_1(u1_struct_0(A),u1_altcat_1(A),u2_altcat_1(A)) ) ) ),
    file(altcat_1,v6_altcat_1),
    []).

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(cc10_yellow21,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & v2_yellow21(A)
        & v4_yellow21(A)
        & l2_altcat_1(A) )
     => ! [B] : 
          ( m1_altcat_2(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v2_altcat_2(B,A)
              & v3_altcat_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v9_altcat_1(B)
              & v11_altcat_1(B)
              & v12_altcat_1(B)
              & v1_altcat_2(B)
              & v3_altcat_2(B,A)
              & v2_yellow18(B)
              & v3_yellow18(B)
              & v4_yellow18(B)
              & v1_yellow21(B)
              & v2_yellow21(B)
              & v4_yellow21(B) ) ) ) ) ),
    file(yellow21,cc10_yellow21),
    []).

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(cc11_yellow21,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & v3_yellow21(A)
        & l2_altcat_1(A) )
     => ! [B] : 
          ( m1_altcat_2(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v3_altcat_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v9_altcat_1(B)
              & v11_altcat_1(B)
              & v12_altcat_1(B)
              & v1_altcat_2(B)
              & v3_altcat_2(B,A)
              & v2_yellow18(B)
              & v3_yellow18(B)
              & v4_yellow18(B)
              & v1_yellow21(B)
              & v2_yellow21(B)
              & v3_yellow21(B) ) ) ) ) ),
    file(yellow21,cc11_yellow21),
    []).

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_altcat_2,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => ( ( ~ v3_struct_0(A)
          & v12_altcat_1(A) )
       => ( ~ v3_struct_0(A)
          & v1_altcat_2(A) ) ) ) ),
    file(altcat_2,cc1_altcat_2),
    []).

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

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

fof(cc1_ordinal1,axiom,(
    ! [A] : 
      ( v3_ordinal1(A)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A) ) ) ),
    file(ordinal1,cc1_ordinal1),
    []).

fof(cc1_realset1,axiom,(
    ! [A] : 
      ( ~ v1_realset1(A)
     => ~ v1_xboole_0(A) ) ),
    file(realset1,cc1_realset1),
    []).

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_setfam_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_setfam_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ~ v1_xboole_0(B) ) ) ),
    file(setfam_1,cc1_setfam_1),
    []).

fof(cc1_waybel17,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v4_orders_2(B)
        & l1_orders_2(B) )
     => ! [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v22_waybel_0(C,A,B) )
           => ( ~ v1_xboole_0(C)
              & v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v5_orders_3(C,A,B)
              & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ),
    file(waybel17,cc1_waybel17),
    []).

fof(cc1_yellow21,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => ( ( ~ v3_struct_0(A)
          & v2_altcat_1(A)
          & v11_altcat_1(A)
          & v12_altcat_1(A)
          & v3_yellow21(A) )
       => ( ~ v3_struct_0(A)
          & v2_altcat_1(A)
          & v11_altcat_1(A)
          & v12_altcat_1(A)
          & v1_altcat_2(A)
          & v2_yellow21(A) ) ) ) ),
    file(yellow21,cc1_yellow21),
    []).

fof(cc2_altcat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & l2_altcat_1(A) )
     => ! [B] : 
          ( m1_altcat_2(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_altcat_2(B,A) )
           => v2_altcat_1(B) ) ) ) ),
    file(altcat_2,cc2_altcat_2),
    []).

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_functor0,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => ( ( ~ v3_struct_0(A)
          & v12_altcat_1(A) )
       => ( ~ v3_struct_0(A)
          & v1_altcat_2(A) ) ) ) ),
    file(functor0,cc2_functor0),
    []).

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

fof(cc2_ordinal1,axiom,(
    ! [A] : 
      ( ( v1_ordinal1(A)
        & v2_ordinal1(A) )
     => v3_ordinal1(A) ) ),
    file(ordinal1,cc2_ordinal1),
    []).

fof(cc2_setfam_1,axiom,(
    ! [A] : 
      ( ~ v2_setfam_1(A)
     => ~ v1_xboole_0(A) ) ),
    file(setfam_1,cc2_setfam_1),
    []).

fof(cc2_yellow18,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => ( ( ~ v3_struct_0(A)
          & v2_altcat_1(A)
          & v11_altcat_1(A)
          & v12_altcat_1(A)
          & v4_yellow18(A) )
       => ( ~ v3_struct_0(A)
          & v2_altcat_1(A)
          & v9_altcat_1(A)
          & v11_altcat_1(A)
          & v12_altcat_1(A)
          & v1_altcat_2(A)
          & v2_yellow18(A)
          & v3_yellow18(A) ) ) ) ),
    file(yellow18,cc2_yellow18),
    []).

fof(cc2_yellow21,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => ( ( ~ v3_struct_0(A)
          & v2_altcat_1(A)
          & v11_altcat_1(A)
          & v12_altcat_1(A)
          & v2_yellow21(A) )
       => ( ~ v3_struct_0(A)
          & v2_altcat_1(A)
          & v9_altcat_1(A)
          & v11_altcat_1(A)
          & v12_altcat_1(A)
          & v1_altcat_2(A)
          & v2_yellow18(A)
          & v3_yellow18(A)
          & v4_yellow18(A)
          & v1_yellow21(A) ) ) ) ),
    file(yellow21,cc2_yellow21),
    []).

fof(cc3_altcat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & l2_altcat_1(A) )
     => ! [B] : 
          ( m1_altcat_2(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_altcat_1(B) )
           => ( ~ v3_struct_0(B)
              & v11_altcat_1(B) ) ) ) ) ),
    file(altcat_2,cc3_altcat_2),
    []).

fof(cc3_ordinal1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A) ) ) ),
    file(ordinal1,cc3_ordinal1),
    []).

fof(cc3_yellow18,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => ( ( ~ v3_struct_0(A)
          & v2_altcat_1(A)
          & v9_altcat_1(A)
          & v11_altcat_1(A)
          & v12_altcat_1(A)
          & v2_yellow18(A)
          & v3_yellow18(A) )
       => ( ~ v3_struct_0(A)
          & v2_altcat_1(A)
          & v11_altcat_1(A)
          & v12_altcat_1(A)
          & v1_altcat_2(A)
          & v4_yellow18(A) ) ) ) ),
    file(yellow18,cc3_yellow18),
    []).

fof(cc4_altcat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v12_altcat_1(A)
        & l2_altcat_1(A) )
     => ! [B] : 
          ( m1_altcat_2(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v3_altcat_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v12_altcat_1(B)
              & v1_altcat_2(B) ) ) ) ) ),
    file(altcat_2,cc4_altcat_2),
    []).

fof(cc4_yellow18,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & v2_yellow18(A)
        & l2_altcat_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => ! [D] : 
          ( m1_subset_1(D,k1_altcat_1(A,B,C))
         => ( v1_relat_1(D)
            & v1_funct_1(D) ) ) ) ),
    file(yellow18,cc4_yellow18),
    []).

fof(cc4_yellow21,axiom,(
    ! [A] : 
      ( ~ v1_realset1(A)
     => ( ~ v1_xboole_0(A)
        & ~ v2_setfam_1(A) ) ) ),
    file(yellow21,cc4_yellow21),
    []).

fof(cc5_yellow21,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & v3_yellow18(A)
        & l2_altcat_1(A) )
     => ! [B] : 
          ( m1_altcat_2(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v3_altcat_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v11_altcat_1(B)
              & v12_altcat_1(B)
              & v1_altcat_2(B)
              & v3_altcat_2(B,A)
              & v3_yellow18(B) ) ) ) ) ),
    file(yellow21,cc5_yellow21),
    []).

fof(cc6_yellow21,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & v2_yellow18(A)
        & l2_altcat_1(A) )
     => ! [B] : 
          ( m1_altcat_2(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v3_altcat_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v11_altcat_1(B)
              & v12_altcat_1(B)
              & v1_altcat_2(B)
              & v3_altcat_2(B,A)
              & v2_yellow18(B) ) ) ) ) ),
    file(yellow21,cc6_yellow21),
    []).

fof(cc7_yellow21,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v9_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & l2_altcat_1(A) )
     => ! [B] : 
          ( m1_altcat_2(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_altcat_1(B) )
           => ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v9_altcat_1(B)
              & v11_altcat_1(B) ) ) ) ) ),
    file(yellow21,cc7_yellow21),
    []).

fof(cc8_yellow21,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & v1_yellow21(A)
        & l2_altcat_1(A) )
     => ! [B] : 
          ( m1_altcat_2(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v3_altcat_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v11_altcat_1(B)
              & v12_altcat_1(B)
              & v1_altcat_2(B)
              & v3_altcat_2(B,A)
              & v1_yellow21(B) ) ) ) ) ),
    file(yellow21,cc8_yellow21),
    []).

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_yellow21,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & v2_yellow21(A)
        & l2_altcat_1(A) )
     => ! [B] : 
          ( m1_altcat_2(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v3_altcat_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v9_altcat_1(B)
              & v11_altcat_1(B)
              & v12_altcat_1(B)
              & v1_altcat_2(B)
              & v3_altcat_2(B,A)
              & v2_yellow18(B)
              & v3_yellow18(B)
              & v4_yellow18(B)
              & v1_yellow21(B)
              & v2_yellow21(B) ) ) ) ) ),
    file(yellow21,cc9_yellow21),
    []).

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

fof(d1_binop_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C] : k1_binop_1(A,B,C) = k1_funct_1(A,k4_tarski(B,C)) ) ),
    file(binop_1,d1_binop_1),
    []).

fof(d2_altcat_1,axiom,(
    ! [A] : 
      ( l1_altcat_1(A)
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k1_altcat_1(A,B,C) = k1_binop_1(u1_altcat_1(A),B,C) ) ) ) ),
    file(altcat_1,d2_altcat_1),
    []).

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_g2_altcat_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,k2_zfmisc_1(A,A))
        & m3_pboole(C,k3_zfmisc_1(A,A,A),k3_altcat_1(A,B,B),k2_altcat_1(A,B)) )
     => ( v6_altcat_1(g2_altcat_1(A,B,C))
        & l2_altcat_1(g2_altcat_1(A,B,C)) ) ) ),
    file(altcat_1,g2_altcat_1),
    []).

fof(dt_k1_altcat_1,axiom,(
    $true ),
    file(altcat_1,k1_altcat_1),
    []).

fof(dt_k1_binop_1,axiom,(
    $true ),
    file(binop_1,k1_binop_1),
    []).

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_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    []).

fof(dt_k1_yellow21,axiom,(
    ! [A] : l1_struct_0(k1_yellow21(A)) ),
    file(yellow21,k1_yellow21),
    []).

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

fof(dt_k2_altcat_1,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,k2_zfmisc_1(A,A))
     => m1_pboole(k2_altcat_1(A,B),k3_zfmisc_1(A,A,A)) ) ),
    file(altcat_1,k2_altcat_1),
    []).

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

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

fof(dt_k3_altcat_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,k2_zfmisc_1(A,A))
        & m1_pboole(C,k2_zfmisc_1(A,A)) )
     => m1_pboole(k3_altcat_1(A,B,C),k3_zfmisc_1(A,A,A)) ) ),
    file(altcat_1,k3_altcat_1),
    []).

fof(dt_k3_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k3_zfmisc_1),
    []).

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

fof(dt_k4_yellow21,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & v3_yellow21(A)
        & l2_altcat_1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => ( v2_orders_2(k4_yellow21(A,B))
        & v3_orders_2(k4_yellow21(A,B))
        & v4_orders_2(k4_yellow21(A,B))
        & v1_lattice3(k4_yellow21(A,B))
        & v2_lattice3(k4_yellow21(A,B))
        & v3_lattice3(k4_yellow21(A,B))
        & l1_orders_2(k4_yellow21(A,B)) ) ) ),
    file(yellow21,k4_yellow21),
    []).

fof(dt_k6_yellow21,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ( ~ v3_struct_0(k6_yellow21(A))
        & v2_altcat_1(k6_yellow21(A))
        & v6_altcat_1(k6_yellow21(A))
        & v11_altcat_1(k6_yellow21(A))
        & v12_altcat_1(k6_yellow21(A))
        & v2_yellow21(k6_yellow21(A))
        & l2_altcat_1(k6_yellow21(A)) ) ) ),
    file(yellow21,k6_yellow21),
    []).

fof(dt_k7_yellow21,axiom,(
    ! [A] : 
      ( ~ v2_setfam_1(A)
     => ( ~ v3_struct_0(k7_yellow21(A))
        & v2_altcat_1(k7_yellow21(A))
        & v6_altcat_1(k7_yellow21(A))
        & v2_altcat_2(k7_yellow21(A),k6_yellow21(A))
        & v3_altcat_2(k7_yellow21(A),k6_yellow21(A))
        & m1_altcat_2(k7_yellow21(A),k6_yellow21(A)) ) ) ),
    file(yellow21,k7_yellow21),
    []).

fof(dt_k8_yellow21,axiom,(
    ! [A] : 
      ( ~ v2_setfam_1(A)
     => ( ~ v3_struct_0(k8_yellow21(A))
        & v2_altcat_1(k8_yellow21(A))
        & v6_altcat_1(k8_yellow21(A))
        & v2_altcat_2(k8_yellow21(A),k7_yellow21(A))
        & v3_altcat_2(k8_yellow21(A),k7_yellow21(A))
        & m1_altcat_2(k8_yellow21(A),k7_yellow21(A)) ) ) ),
    file(yellow21,k8_yellow21),
    []).

fof(dt_l1_altcat_1,axiom,(
    ! [A] : 
      ( l1_altcat_1(A)
     => l1_struct_0(A) ) ),
    file(altcat_1,l1_altcat_1),
    []).

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_l2_altcat_1,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => l1_altcat_1(A) ) ),
    file(altcat_1,l2_altcat_1),
    []).

fof(dt_m1_altcat_2,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => ! [B] : 
          ( m1_altcat_2(B,A)
         => l2_altcat_1(B) ) ) ),
    file(altcat_2,m1_altcat_2),
    []).

fof(dt_m1_pboole,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ( v1_relat_1(B)
        & v1_funct_1(B) ) ) ),
    file(pboole,m1_pboole),
    []).

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_m3_pboole,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,A)
        & m1_pboole(C,A) )
     => ! [D] : 
          ( m3_pboole(D,A,B,C)
         => m1_pboole(D,A) ) ) ),
    file(pboole,m3_pboole),
    []).

fof(dt_u1_altcat_1,axiom,(
    ! [A] : 
      ( l1_altcat_1(A)
     => m1_pboole(u1_altcat_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) ),
    file(altcat_1,u1_altcat_1),
    []).

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

fof(dt_u2_altcat_1,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => m3_pboole(u2_altcat_1(A),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_altcat_1(u1_struct_0(A),u1_altcat_1(A),u1_altcat_1(A)),k2_altcat_1(u1_struct_0(A),u1_altcat_1(A))) ) ),
    file(altcat_1,u2_altcat_1),
    []).

fof(existence_l1_altcat_1,axiom,(
    ? [A] : l1_altcat_1(A) ),
    file(altcat_1,l1_altcat_1),
    []).

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_l2_altcat_1,axiom,(
    ? [A] : l2_altcat_1(A) ),
    file(altcat_1,l2_altcat_1),
    []).

fof(existence_m1_altcat_2,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => ? [B] : m1_altcat_2(B,A) ) ),
    file(altcat_2,m1_altcat_2),
    []).

fof(existence_m1_pboole,axiom,(
    ! [A] : 
    ? [B] : m1_pboole(B,A) ),
    file(pboole,m1_pboole),
    []).

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_m3_pboole,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,A)
        & m1_pboole(C,A) )
     => ? [D] : m3_pboole(D,A,B,C) ) ),
    file(pboole,m3_pboole),
    []).

fof(fc1_altcat_4,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v12_altcat_1(A)
        & l2_altcat_1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => ~ v1_xboole_0(k1_altcat_1(A,B,B)) ) ),
    file(altcat_4,fc1_altcat_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(fc2_ordinal1,axiom,
    ( v1_relat_1(k1_xboole_0)
    & v3_relat_1(k1_xboole_0)
    & v1_funct_1(k1_xboole_0)
    & v2_funct_1(k1_xboole_0)
    & v1_xboole_0(k1_xboole_0)
    & v1_ordinal1(k1_xboole_0)
    & v2_ordinal1(k1_xboole_0)
    & v3_ordinal1(k1_xboole_0) ),
    file(ordinal1,fc2_ordinal1),
    []).

fof(fc2_setfam_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ( ~ v1_xboole_0(k1_tarski(A))
        & v1_setfam_1(k1_tarski(A)) ) ) ),
    file(setfam_1,fc2_setfam_1),
    []).

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

fof(fc3_realset1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(k1_tarski(A))
      & v1_finset_1(k1_tarski(A))
      & v1_realset1(k1_tarski(A)) ) ),
    file(realset1,fc3_realset1),
    []).

fof(fc3_setfam_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ( ~ v1_xboole_0(k2_tarski(A,B))
        & v1_setfam_1(k2_tarski(A,B)) ) ) ),
    file(setfam_1,fc3_setfam_1),
    []).

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_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C) )
     => ~ v1_xboole_0(k3_zfmisc_1(A,B,C)) ) ),
    file(subset_1,fc5_subset_1),
    []).

fof(fc7_yellow21,axiom,(
    ! [A] : 
      ( ~ v2_setfam_1(A)
     => ( ~ v3_struct_0(k6_yellow21(A))
        & v2_altcat_1(k6_yellow21(A))
        & v6_altcat_1(k6_yellow21(A))
        & v9_altcat_1(k6_yellow21(A))
        & v11_altcat_1(k6_yellow21(A))
        & v12_altcat_1(k6_yellow21(A))
        & v1_altcat_2(k6_yellow21(A))
        & v2_yellow18(k6_yellow21(A))
        & v3_yellow18(k6_yellow21(A))
        & v4_yellow18(k6_yellow21(A))
        & v1_yellow21(k6_yellow21(A))
        & v2_yellow21(k6_yellow21(A))
        & v3_yellow21(k6_yellow21(A))
        & v4_yellow21(k6_yellow21(A)) ) ) ),
    file(yellow21,fc7_yellow21),
    []).

fof(fc8_yellow21,axiom,(
    ! [A,B,C] : 
      ( ( ~ v2_setfam_1(A)
        & m1_subset_1(B,u1_struct_0(k6_yellow21(A)))
        & m1_subset_1(C,u1_struct_0(k6_yellow21(A))) )
     => ~ v1_xboole_0(k1_altcat_1(k6_yellow21(A),B,C)) ) ),
    file(yellow21,fc8_yellow21),
    []).

fof(free_g2_altcat_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,k2_zfmisc_1(A,A))
        & m3_pboole(C,k3_zfmisc_1(A,A,A),k3_altcat_1(A,B,B),k2_altcat_1(A,B)) )
     => ! [D,E,F] : 
          ( g2_altcat_1(A,B,C) = g2_altcat_1(D,E,F)
         => ( A = D
            & B = E
            & C = F ) ) ) ),
    file(altcat_1,g2_altcat_1),
    []).

fof(rc10_altcat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & l2_altcat_1(A) )
     => ? [B] : 
          ( m1_altcat_2(B,A)
          & ~ v3_struct_0(B)
          & v2_altcat_1(B)
          & v11_altcat_1(B)
          & v12_altcat_1(B)
          & v1_altcat_2(B)
          & v3_altcat_2(B,A) ) ) ),
    file(altcat_2,rc10_altcat_2),
    []).

fof(rc1_altcat_4,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & l2_altcat_1(A) )
     => ? [B] : 
          ( m1_altcat_2(B,A)
          & ~ v3_struct_0(B)
          & v2_altcat_1(B)
          & v6_altcat_1(B)
          & v11_altcat_1(B)
          & v12_altcat_1(B)
          & v1_altcat_2(B)
          & v2_altcat_2(B,A)
          & v3_altcat_2(B,A) ) ) ),
    file(altcat_4,rc1_altcat_4),
    []).

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

fof(rc1_ordinal1,axiom,(
    ? [A] : 
      ( v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A) ) ),
    file(ordinal1,rc1_ordinal1),
    []).

fof(rc1_realset1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_realset1(A) ) ),
    file(realset1,rc1_realset1),
    []).

fof(rc1_setfam_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_setfam_1(A) ) ),
    file(setfam_1,rc1_setfam_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(rc1_waybel10,axiom,(
    ! [A,B] : 
      ( ( l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & l1_orders_2(B) )
     => ? [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
          & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
          & v5_orders_3(C,A,B) ) ) ),
    file(waybel10,rc1_waybel10),
    []).

fof(rc1_yellow21,axiom,(
    ? [A] : 
      ( l2_altcat_1(A)
      & ~ v3_struct_0(A)
      & v2_altcat_1(A)
      & v6_altcat_1(A)
      & v9_altcat_1(A)
      & v11_altcat_1(A)
      & v12_altcat_1(A)
      & v1_altcat_2(A)
      & v2_yellow18(A)
      & v3_yellow18(A)
      & v4_yellow18(A)
      & v1_yellow21(A)
      & v2_yellow21(A)
      & v3_yellow21(A) ) ),
    file(yellow21,rc1_yellow21),
    []).

fof(rc2_altcat_2,axiom,(
    ? [A] : 
      ( l1_altcat_1(A)
      & ~ v3_struct_0(A)
      & v1_altcat_2(A) ) ),
    file(altcat_2,rc2_altcat_2),
    []).

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_ordinal1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A) ) ),
    file(ordinal1,rc2_ordinal1),
    []).

fof(rc2_realset1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & ~ v1_realset1(A) ) ),
    file(realset1,rc2_realset1),
    []).

fof(rc2_setfam_1,axiom,(
    ? [A] : ~ v2_setfam_1(A) ),
    file(setfam_1,rc2_setfam_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_yellow21,axiom,(
    ? [A] : 
      ( l2_altcat_1(A)
      & ~ v3_struct_0(A)
      & v2_altcat_1(A)
      & v6_altcat_1(A)
      & v9_altcat_1(A)
      & v11_altcat_1(A)
      & v12_altcat_1(A)
      & v1_altcat_2(A)
      & v2_yellow18(A)
      & v3_yellow18(A)
      & v4_yellow18(A)
      & v1_yellow21(A)
      & v2_yellow21(A)
      & v4_yellow21(A) ) ),
    file(yellow21,rc2_yellow21),
    []).

fof(rc3_altcat_2,axiom,(
    ? [A] : 
      ( l2_altcat_1(A)
      & ~ v3_struct_0(A)
      & v1_altcat_2(A) ) ),
    file(altcat_2,rc3_altcat_2),
    []).

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_ordinal1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A) ) ),
    file(ordinal1,rc3_ordinal1),
    []).

fof(rc3_setfam_1,axiom,(
    ! [A] : 
      ( ~ v2_setfam_1(A)
     => ? [B] : 
          ( m1_subset_1(B,A)
          & ~ v1_xboole_0(B) ) ) ),
    file(setfam_1,rc3_setfam_1),
    []).

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

fof(rc4_altcat_2,axiom,(
    ? [A] : 
      ( l2_altcat_1(A)
      & v3_struct_0(A)
      & v6_altcat_1(A) ) ),
    file(altcat_2,rc4_altcat_2),
    []).

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(rc5_altcat_2,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => ? [B] : 
          ( m1_altcat_2(B,A)
          & v6_altcat_1(B) ) ) ),
    file(altcat_2,rc5_altcat_2),
    []).

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(rc6_altcat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l2_altcat_1(A) )
     => ? [B] : 
          ( m1_altcat_2(B,A)
          & ~ v3_struct_0(B)
          & v2_altcat_1(B)
          & v6_altcat_1(B) ) ) ),
    file(altcat_2,rc6_altcat_2),
    []).

fof(rc7_altcat_2,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => ? [B] : 
          ( m1_altcat_2(B,A)
          & v6_altcat_1(B)
          & v2_altcat_2(B,A) ) ) ),
    file(altcat_2,rc7_altcat_2),
    []).

fof(rc7_functor0,axiom,(
    ? [A] : 
      ( l2_altcat_1(A)
      & ~ v3_struct_0(A)
      & v1_altcat_2(A) ) ),
    file(functor0,rc7_functor0),
    []).

fof(rc8_altcat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l2_altcat_1(A) )
     => ? [B] : 
          ( m1_altcat_2(B,A)
          & ~ v3_struct_0(B)
          & v6_altcat_1(B)
          & v2_altcat_2(B,A) ) ) ),
    file(altcat_2,rc8_altcat_2),
    []).

fof(rc9_altcat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & l2_altcat_1(A) )
     => ? [B] : 
          ( m1_altcat_2(B,A)
          & ~ v3_struct_0(B)
          & v6_altcat_1(B)
          & v2_altcat_2(B,A)
          & v3_altcat_2(B,A) ) ) ),
    file(altcat_2,rc9_altcat_2),
    []).

fof(redefinition_k4_yellow21,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & v3_yellow21(A)
        & l2_altcat_1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => k4_yellow21(A,B) = k1_yellow21(B) ) ),
    file(yellow21,k4_yellow21),
    []).

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(t19_yellow21,axiom,(
    ! [A] : 
      ( ~ v2_setfam_1(A)
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(k7_yellow21(A)))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(k7_yellow21(A)))
             => ! [D] : 
                  ( r2_hidden(D,k1_altcat_1(k7_yellow21(A),B,C))
                <=> ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k4_yellow21(k7_yellow21(A),B)),u1_struct_0(k4_yellow21(k7_yellow21(A),C)))
                    & v22_waybel_0(D,k4_yellow21(k7_yellow21(A),B),k4_yellow21(k7_yellow21(A),C))
                    & m2_relset_1(D,u1_struct_0(k4_yellow21(k7_yellow21(A),B)),u1_struct_0(k4_yellow21(k7_yellow21(A),C))) ) ) ) ) ) ),
    file(yellow21,t19_yellow21),
    []).

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

fof(t29_altcat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l2_altcat_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v2_altcat_2(B,A)
            & m1_altcat_2(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(B))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(B))
                         => ( ( C = E
                              & D = F )
                           => k1_altcat_1(A,C,D) = k1_altcat_1(B,E,F) ) ) ) ) ) ) ) ),
    file(altcat_2,t29_altcat_2),
    []).

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

fof(t30_altcat_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l2_altcat_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & m1_altcat_2(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(B))
             => m1_subset_1(C,u1_struct_0(A)) ) ) ) ),
    file(altcat_2,t30_altcat_2),
    []).

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),
    []).