% Mizar problem: t18_waybel33,waybel33,1006,5 
fof(t18_waybel33, conjecture,  (! [A] :  ( (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) &  (v1_waybel33(A) & l1_waybel_9(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v4_pre_topc(B, A) <=>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_waybel_0(C, k2_yellow_1(k2_struct_0(A))) &  (v13_waybel_0(C, k2_yellow_1(k2_struct_0(A))) &  (v3_waybel_7(C, k2_yellow_1(k2_struct_0(A))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A)))))) ) ) )  =>  (r2_tarski(B, C) => r2_tarski(k1_waybel33(A, k2_struct_0(A), C), B)) ) ) ) ) ) ) ) ).
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))) ) ) ).
fof(abstractness_v1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_pre_topc(A) => A=g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) ) ) ).
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))) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  => v13_struct_0(A, 1)) ) ) ).
fof(cc10_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v3_orders_2(A) &  (v1_lattice3(A) & v24_waybel_0(A)) )  =>  (v3_orders_2(A) &  (v1_lattice3(A) & v2_yellow_0(A)) ) ) ) ) ).
fof(cc11_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_card_1(A))  =>  (! [B] :  (v3_card_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc11_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, 1) =>  ( ~ (v2_struct_0(A))  & v7_struct_0(A)) ) ) ) ).
fof(cc11_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v3_lattice3(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v24_waybel_0(A) & v25_waybel_0(A)) ) ) ) ) ) ).
fof(cc12_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v25_waybel_0(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v1_yellow_0(A)) ) ) ) ) ).
fof(cc13_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_yellow_0(A) & v24_waybel_0(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v3_lattice3(A)) ) ) ) ) ) ) ).
fof(cc14_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) & v25_waybel_0(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) & v2_lattice3(A)) ) ) ) ) ) ).
fof(cc15_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) &  (v2_yellow_0(A) & v25_waybel_0(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & v2_yellow_0(A)) ) ) ) ) ) ) ).
fof(cc17_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(A)) ) ).
fof(cc1_classes2, axiom,  (! [A] :  (v2_classes1(A) => v1_classes1(A)) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(A)) ) ).
fof(cc1_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_lattice3(A) =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc1_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(A)) ) ).
fof(cc1_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc1_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v7_struct_0(A)) ) ) ).
fof(cc1_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc1_tex_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v13_struct_0(A, 1) & v2_pre_topc(A))  =>  (v13_struct_0(A, 1) &  (v2_pre_topc(A) &  (v1_tdlat_3(A) & v2_tdlat_3(A)) ) ) ) ) ) ).
fof(cc1_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v3_pre_topc(B, A)) ) ) ) ) ).
fof(cc1_waybel19, axiom,  (! [A] :  (l1_waybel_9(A) =>  ( (v13_struct_0(A, 1) &  (v2_pre_topc(A) & v3_orders_2(A)) )  =>  (v13_struct_0(A, 1) &  (v2_pre_topc(A) &  (v3_orders_2(A) & v1_waybel19(A)) ) ) ) ) ) ).
fof(cc1_waybel33, axiom,  (! [A] :  (l1_waybel_9(A) =>  ( ( ~ (v2_struct_0(A))  & v1_waybel33(A))  =>  ( ~ (v2_struct_0(A))  & v2_pre_topc(A)) ) ) ) ).
fof(cc1_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) =>  (v1_waybel_0(B, A) & v2_waybel_0(B, A)) ) ) ) ) ) ).
fof(cc1_waybel_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v16_waybel_0(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_waybel_0(B, A) & v2_waybel_0(B, A)) ) ) ) ) ).
fof(cc1_waybel_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v1_xboole_0(B))  &  (v2_waybel_0(B, A) &  (v13_waybel_0(B, A) & v3_waybel_7(B, A)) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_subset_1(B, u1_struct_0(A)) &  (v2_waybel_0(B, A) & v13_waybel_0(B, A)) ) ) ) ) ) ) ) ).
fof(cc1_yellow13, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v7_pre_topc(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_finset_1(B) => v4_pre_topc(B, A)) ) ) ) ) ).
fof(cc1_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v3_lattice3(A))  =>  ( ~ (v2_struct_0(A))  &  (v1_lattice3(A) & v2_lattice3(A)) ) ) ) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_classes2, axiom,  (! [A] :  (v1_classes2(A) =>  (v1_ordinal1(A) & v2_classes1(A)) ) ) ).
fof(cc2_finset_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_finset_1(B)) ) ) ) ).
fof(cc2_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_lattice3(A) =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_relat_1(B)) ) ) ) ).
fof(cc2_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(cc2_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc2_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( ~ (v1_subset_1(B, A))  =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(cc2_tex_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_tdlat_3(A) & v2_tdlat_3(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) & v2_pre_topc(A)) ) ) ) ) ).
fof(cc2_tops_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v2_tops_1(B, A)) ) ) ) ) ).
fof(cc2_waybel19, axiom,  (! [A] :  (l1_waybel_9(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v1_waybel19(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v6_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) ) ) ) ) ) ) ).
fof(cc2_waybel33, axiom,  (! [A] :  (l1_waybel_9(A) =>  ( (v7_struct_0(A) &  (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & v2_lattice3(A)) ) ) ) ) )  =>  (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & v1_waybel33(A)) ) ) ) ) ) ) ) ) ).
fof(cc2_waybel_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v16_waybel_0(A) & v24_waybel_0(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_lattice3(A) & v16_waybel_0(A)) ) ) ) ) ) ) ) ).
fof(cc2_yellow13, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v2_pre_topc(A) & v7_pre_topc(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_tdlat_3(A)) ) ) ) ) ).
fof(cc2_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v13_struct_0(A, 1) & v3_orders_2(A))  =>  (v13_struct_0(A, 1) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v3_lattice3(A)) ) ) ) ) ) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_classes2, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_classes1(A))  => v1_classes2(A)) ) ).
fof(cc3_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(cc3_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
fof(cc3_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_xboole_0(C)) ) ) ) ).
fof(cc3_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_xboole_0(B) => v1_subset_1(B, A)) ) ) ) ) ).
fof(cc3_tex_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  ~ (v1_tdlat_3(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  & v2_pre_topc(A)) ) ) ) ) ).
fof(cc3_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v3_tops_1(B, A)) ) ) ) ) ).
fof(cc3_waybel_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v13_struct_0(A, 1) & v3_orders_2(A))  =>  (v13_struct_0(A, 1) &  (v3_orders_2(A) & v2_waybel_3(A)) ) ) ) ) ).
fof(cc3_yellow13, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v8_struct_0(A) & v2_pre_topc(A))  =>  (v2_pre_topc(A) & v1_compts_1(A)) ) ) ) ).
fof(cc3_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v3_lattice3(A))  =>  ( ~ (v2_struct_0(A))  & v3_yellow_0(A)) ) ) ) ).
fof(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(A)) ) ).
fof(cc4_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_relat_1(A)) ) ) ).
fof(cc4_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) => v1_xboole_0(C)) ) ) ) ).
fof(cc4_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) =>  (v2_struct_0(A) & v8_struct_0(A)) ) ) ) ).
fof(cc4_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_subset_1(B, A)) ) ) ) ) ).
fof(cc4_tex_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  ~ (v2_tdlat_3(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  & v2_pre_topc(A)) ) ) ) ) ).
fof(cc4_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_tops_1(B, A) => v2_tops_1(B, A)) ) ) ) ) ).
fof(cc4_waybel_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v3_waybel_3(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v24_waybel_0(A) & v2_waybel_3(A)) ) ) ) ) ) ).
fof(cc4_yellow13, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_tdlat_3(A)) )  =>  (v2_pre_topc(A) &  (v7_pre_topc(A) &  (v8_pre_topc(A) &  (v9_pre_topc(A) & v10_pre_topc(A)) ) ) ) ) ) ) ).
fof(cc4_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_yellow_0(A) =>  (v1_yellow_0(A) & v2_yellow_0(A)) ) ) ) ).
fof(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(cc5_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(cc5_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v4_relat_1(C, A)) ) ) ) ).
fof(cc5_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ( ~ (v2_struct_0(A))  &  ~ (v8_struct_0(A)) ) ) ) ) ).
fof(cc5_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
fof(cc5_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v4_pre_topc(B, A) & v2_tops_1(B, A))  => v3_tops_1(B, A)) ) ) ) ) ).
fof(cc5_waybel_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) &  (v24_waybel_0(A) & v2_waybel_3(A)) ) ) ) ) )  =>  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) & v3_waybel_3(A)) ) ) ) ) ) ) ) ).
fof(cc5_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v1_yellow_0(A) & v2_yellow_0(A))  => v3_yellow_0(A)) ) ) ).
fof(cc5_yellow_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  (m4_yellow_6(B, A) => v1_relat_1(B)) ) ) ) ).
fof(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(cc6_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_1(A)) ) ).
fof(cc6_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v5_relat_1(C, A)) ) ) ) ).
fof(cc6_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v7_struct_0(A) => v8_struct_0(A)) ) ) ).
fof(cc6_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_pre_topc(B, A) & v3_tops_1(B, A))  => v1_xboole_0(B)) ) ) ) ) ).
fof(cc6_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) & v3_orders_2(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v16_waybel_0(A)) ) ) ) ) ).
fof(cc6_waybel_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_lattice3(A) & v16_waybel_0(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & v2_waybel_3(A)) ) ) ) ) ) ) ) ).
fof(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_0(A)) ) ).
fof(cc7_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(cc7_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v4_relat_1(B, A)) ) ) ) ) ) ).
fof(cc7_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ~ (v7_struct_0(A)) ) ) ) ).
fof(cc7_waybel_3, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_pre_topc(A) & v1_compts_1(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v9_pre_topc(A) &  (v10_pre_topc(A) & v6_waybel_3(A)) ) ) ) ) ) ) ).
fof(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(cc8_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_finset_1(B)) ) ) ) ).
fof(cc8_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(cc8_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v13_struct_0(A, k5_ordinal1)) ) ) ).
fof(cc9_card_1, axiom,  (! [A] :  (v3_card_1(A, 1) =>  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ) ).
fof(cc9_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(A)) ) ) ).
fof(cc9_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, k5_ordinal1) => v2_struct_0(A)) ) ) ).
fof(cc9_yellow13, axiom,  (! [A] :  (l1_waybel_9(A) =>  ( (v13_struct_0(A, 1) &  (v2_pre_topc(A) & v3_orders_2(A)) )  =>  (v13_struct_0(A, 1) &  (v2_pre_topc(A) & v2_yellow13(A)) ) ) ) ) ).
fof(commutativity_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k3_xboole_0(B, A)) ).
fof(commutativity_k8_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k8_subset_1(A, B, C)=k8_subset_1(A, C, B)) ) ).
fof(commutativity_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k9_subset_1(A, C, B)) ) ).
fof(d11_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_waybel_0(B, A))  =>  (! [C] :  (r1_waybel_0(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(B)) &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r1_orders_2(B, D, E) => r2_tarski(k2_waybel_0(A, B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_yellow_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  (B=k5_yellow_6(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  ( ( ~ (v2_struct_0(D))  &  (v4_orders_2(D) &  (v6_waybel_0(D, A) &  (v7_waybel_0(D) & l1_waybel_0(D, A)) ) ) )  &  (D=C & r2_tarski(u1_struct_0(D), k1_yellow_6(u1_struct_0(A)))) ) ) ) ) ) ) ) ) ).
fof(d12_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_waybel_0(B, A))  =>  (! [C] :  (r2_waybel_0(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(B)) &  (r1_orders_2(B, D, E) & r2_tarski(k2_waybel_0(A, B, E), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) => k4_yellow_0(A)=k2_yellow_0(A, k1_xboole_0)) ) ).
fof(d16_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (C=k4_waybel_0(A, B) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, C) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (r1_orders_2(A, E, D) & r2_tarski(E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_yellow_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  (m4_yellow_6(B, A) <=> r1_tarski(B, k2_zfmisc_1(k5_yellow_6(A), u1_struct_0(A)))) ) ) ) ).
fof(d1_classes1, axiom,  (! [A] :  (v1_classes1(A) <=>  (! [B] :  (! [C] :  ( (r2_tarski(B, A) & r1_tarski(C, B))  => r2_tarski(C, A)) ) ) ) ) ).
fof(d1_waybel28, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) )  =>  (v1_waybel28(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r1_orders_2(A, C, k3_funct_2(u1_struct_0(A), u1_struct_0(A), B, C))) ) ) ) ) ) ) ).
fof(d1_waybel33, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_waybel_0(C, k2_yellow_1(B)) &  (v13_waybel_0(C, k2_yellow_1(B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_yellow_1(B))))) ) )  => k1_waybel33(A, B, C)=k1_yellow_0(A, a_3_0_waybel33(A, B, C))) ) ) ) ) ) ).
fof(d1_yellow_6, axiom,  (! [A] : k1_yellow_6(A)=k1_classes1(k5_classes1(A))) ).
fof(d24_yellow_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  (m4_yellow_6(B, A) =>  (! [C] :  ( (v1_pre_topc(C) & l1_pre_topc(C))  =>  (C=k12_yellow_6(A, B) <=>  (u1_struct_0(C)=u1_struct_0(A) & u1_pre_topc(C)=a_2_1_yellow_6(A, B)) ) ) ) ) ) ) ) ).
fof(d27_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k11_waybel_0(A, B)=a_2_2_waybel_0(A, B)) ) ) ) ).
fof(d28_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => k12_waybel_0(A, B)=a_2_3_waybel_0(A, B)) ) ) ) ).
fof(d2_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_pre_topc(B, A) <=> r2_tarski(B, u1_pre_topc(A))) ) ) ) ) ).
fof(d2_waybel28, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_waybel_0(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v6_waybel_0(D, A) & l1_waybel_0(D, A)) )  =>  (D=k1_waybel28(A, B, C) <=>  (g1_orders_2(u1_struct_0(D), u1_orders_2(D))=g1_orders_2(u1_struct_0(B), u1_orders_2(B)) & r1_funct_2(u1_struct_0(D), u1_struct_0(A), u1_struct_0(B), u1_struct_0(A), u1_waybel_0(A, D), k1_partfun1(u1_struct_0(B), u1_struct_0(B), u1_struct_0(B), u1_struct_0(A), C, u1_waybel_0(A, B)))) ) ) ) ) ) ) ) ) ) ).
fof(d2_waybel33, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_waybel_9(A))  =>  (v1_waybel33(A) <=> u1_pre_topc(A)=k4_waybel28(A)) ) ) ).
fof(d2_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_waybel_0(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, B) &  (r1_orders_2(A, E, C) & r1_orders_2(A, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_waybel_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (l1_waybel_0(B, A) => k1_waybel_9(A, B)=k5_yellow_2(A, u1_waybel_0(A, B))) ) ) ) ).
fof(d2_xboole_0, axiom, k1_xboole_0=o_0_0_xboole_0).
fof(d2_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)) =>  (! [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)) ) ) ) ) ) ) ) ) ) ).
fof(d3_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (B=k10_xtuple_0(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  (r2_hidden(D, k9_xtuple_0(A)) & C=k1_funct_1(A, D)) ) ) ) ) ) ) ) ).
fof(d3_struct_0, axiom,  (! [A] :  (l1_struct_0(A) => k2_struct_0(A)=u1_struct_0(A)) ) ).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d3_waybel28, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m4_yellow_6(B, A) =>  (B=k3_waybel28(A) <=>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v4_orders_2(C) &  (v7_waybel_0(C) & l1_waybel_0(C, A)) ) )  =>  (r2_tarski(C, k5_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)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (v5_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) ) ) ) ) ) ) ) ).
fof(d4_subset_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k3_subset_1(A, B)=k4_xboole_0(A, B)) ) ) ).
fof(d4_waybel28, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  => k4_waybel28(A)=u1_pre_topc(k12_yellow_6(A, k3_waybel28(A)))) ) ).
fof(d4_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k3_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) & r2_hidden(D, B)) ) ) ) ) ) ) ).
fof(d4_yellow19, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_waybel_0(C, k2_yellow_1(B)) &  (v13_waybel_0(C, k2_yellow_1(B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_yellow_1(B))))) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v6_waybel_0(D, A) & l1_waybel_0(D, A)) )  =>  (D=k3_yellow19(A, B, C) <=>  (u1_struct_0(D)=a_3_0_yellow19(A, B, C) &  ( (! [E] :  (m1_subset_1(E, u1_struct_0(D)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(D)) =>  (r1_orders_2(D, E, F) <=> r1_tarski(k2_xfamily(F), k2_xfamily(E))) ) ) ) )  &  (! [E] :  (m1_subset_1(E, u1_struct_0(D)) => k2_waybel_0(A, D, E)=k1_xfamily(E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k4_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) &  ~ (r2_hidden(D, B)) ) ) ) ) ) ) ) ).
fof(d6_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (v7_waybel_0(A) <=> v1_waybel_0(k2_struct_0(A), A)) ) ) ).
fof(d6_yellow_2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (v1_relat_1(B) => k5_yellow_2(A, B)=k2_yellow_0(A, k10_xtuple_0(B))) ) ) ) ).
fof(d7_waybel_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_waybel_0(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  ( (v6_waybel_0(D, A) & l1_waybel_0(D, A))  =>  (D=k4_waybel_9(A, B, C) <=>  ( (! [E] :  (r2_hidden(E, u1_struct_0(D)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (F=E & r1_orders_2(B, C, F)) ) ) ) )  &  (r2_relset_1(u1_struct_0(D), u1_struct_0(D), u1_orders_2(D), k1_toler_1(u1_orders_2(B), u1_struct_0(D))) & u1_waybel_0(A, D)=k2_partfun1(u1_struct_0(B), u1_struct_0(A), u1_waybel_0(A, B), u1_struct_0(D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_waybel_0(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => k2_waybel_0(A, B, C)=k3_funct_2(u1_struct_0(B), u1_struct_0(A), u1_waybel_0(A, B), C)) ) ) ) ) ) ).
fof(d9_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_lattice3(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r1_orders_2(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(dt_g1_orders_2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_orders_2(g1_orders_2(A, B)) & l1_orders_2(g1_orders_2(A, B))) ) ) ).
fof(dt_g1_pre_topc, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v1_pre_topc(g1_pre_topc(A, B)) & l1_pre_topc(g1_pre_topc(A, B))) ) ) ).
fof(dt_g1_waybel_0, axiom,  (! [A, B, C, D] :  ( (l1_struct_0(A) &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) &  (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(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)) ) ) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k11_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k11_waybel_0(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k12_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k12_waybel_0(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k12_yellow_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  & m4_yellow_6(B, A))  =>  (v1_pre_topc(k12_yellow_6(A, B)) & l1_pre_topc(k12_yellow_6(A, B))) ) ) ).
fof(dt_k1_classes1, axiom, $true).
fof(dt_k1_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) & m1_subset_1(D, B)) ) )  => m1_subset_1(k1_domain_1(A, B, C, D), k2_zfmisc_1(A, B))) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_partfun1, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) )  =>  (v1_funct_1(k1_partfun1(A, B, C, D, E, F)) & m1_subset_1(k1_partfun1(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(A, D)))) ) ) ).
fof(dt_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => m1_subset_1(k1_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k1_setfam_1, axiom, $true).
fof(dt_k1_toler_1, axiom,  (! [A, B] :  (v1_relat_1(A) => m1_subset_1(k1_toler_1(A, B), k1_zfmisc_1(k2_zfmisc_1(B, B)))) ) ).
fof(dt_k1_waybel11, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) ) )  => m1_subset_1(k1_waybel11(A, B), u1_struct_0(A))) ) ).
fof(dt_k1_waybel28, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_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_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) ) )  =>  ( ~ (v2_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)) ) ) ) ).
fof(dt_k1_waybel33, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) ) )  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ~ (v1_xboole_0(C))  &  (v2_waybel_0(C, k2_yellow_1(B)) &  (v13_waybel_0(C, k2_yellow_1(B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_yellow_1(B))))) ) ) ) )  => m1_subset_1(k1_waybel33(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k1_waybel_9, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & l1_waybel_0(B, A))  => m1_subset_1(k1_waybel_9(A, B), u1_struct_0(A))) ) ).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_xfamily, axiom, $true).
fof(dt_k1_xtuple_0, axiom, $true).
fof(dt_k1_yellow_0, axiom,  (! [A, B] :  (l1_orders_2(A) => m1_subset_1(k1_yellow_0(A, B), u1_struct_0(A))) ) ).
fof(dt_k1_yellow_6, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_partfun1, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v1_funct_1(k2_partfun1(A, B, C, D)) & m1_subset_1(k2_partfun1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ).
fof(dt_k2_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => m1_subset_1(k2_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k2_struct_0, axiom,  (! [A] :  (l1_struct_0(A) => m1_subset_1(k2_struct_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k2_waybel28, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v4_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_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(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)) ) ) ).
fof(dt_k2_waybel_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_waybel_0(B, A))  & m1_subset_1(C, u1_struct_0(B))) )  => m1_subset_1(k2_waybel_0(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k2_wellord1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k2_wellord1(A, B))) ) ).
fof(dt_k2_xfamily, axiom, $true).
fof(dt_k2_xtuple_0, axiom, $true).
fof(dt_k2_yellow_0, axiom,  (! [A, B] :  (l1_orders_2(A) => m1_subset_1(k2_yellow_0(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_yellow_1, axiom,  (! [A] :  (v1_orders_2(k2_yellow_1(A)) & l1_orders_2(k2_yellow_1(A))) ) ).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => m1_subset_1(k3_funct_2(A, B, C, D), B)) ) ).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_subset_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => m1_subset_1(k3_subset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k3_waybel28, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  => m4_yellow_6(k3_waybel28(A), A)) ) ).
fof(dt_k3_waybel_0, axiom,  (! [A, B] :  ( (l1_orders_2(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k3_waybel_0(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_xboole_0, axiom, $true).
fof(dt_k3_yellow19, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ~ (v1_xboole_0(C))  &  (v2_waybel_0(C, k2_yellow_1(B)) &  (v13_waybel_0(C, k2_yellow_1(B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_yellow_1(B))))) ) ) ) )  =>  ( ~ (v2_struct_0(k3_yellow19(A, B, C)))  &  (v6_waybel_0(k3_yellow19(A, B, C), A) & l1_waybel_0(k3_yellow19(A, B, C), A)) ) ) ) ).
fof(dt_k3_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) => m1_subset_1(k3_yellow_0(A), u1_struct_0(A))) ) ).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_waybel28, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  => m1_subset_1(k4_waybel28(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k4_waybel_0, axiom,  (! [A, B] :  ( (l1_orders_2(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k4_waybel_0(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k4_waybel_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  & l1_waybel_0(B, A))  & m1_subset_1(C, u1_struct_0(B))) )  =>  (v6_waybel_0(k4_waybel_9(A, B, C), A) & l1_waybel_0(k4_waybel_9(A, B, C), A)) ) ) ).
fof(dt_k4_xboole_0, axiom, $true).
fof(dt_k4_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) => m1_subset_1(k4_yellow_0(A), u1_struct_0(A))) ) ).
fof(dt_k5_classes1, axiom, $true).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k5_relat_1(A, B))) ) ).
fof(dt_k5_waybel_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  (v6_waybel_0(k5_waybel_9(A, B, C), A) & m2_yellow_6(k5_waybel_9(A, B, C), A, B)) ) ) ).
fof(dt_k5_yellow_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & v1_relat_1(B))  => m1_subset_1(k5_yellow_2(A, B), u1_struct_0(A))) ) ).
fof(dt_k5_yellow_6, axiom, $true).
fof(dt_k6_subset_1, axiom,  (! [A, B] : m1_subset_1(k6_subset_1(A, B), k1_zfmisc_1(A))) ).
fof(dt_k8_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => m1_subset_1(k8_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k9_setfam_1, axiom,  (! [A] : m1_subset_1(k9_setfam_1(A), k1_zfmisc_1(k1_zfmisc_1(A)))) ).
fof(dt_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => m1_subset_1(k9_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_l1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) => l1_struct_0(A)) ) ).
fof(dt_l1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) => l1_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l1_waybel_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_waybel_0(B, A) => l1_orders_2(B)) ) ) ) ).
fof(dt_l1_waybel_9, axiom,  (! [A] :  (l1_waybel_9(A) =>  (l1_pre_topc(A) & l1_orders_2(A)) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m1_yellow_6, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_waybel_0(B, A))  =>  (! [C] :  (m1_yellow_6(C, A, B) => l1_waybel_0(C, A)) ) ) ) ).
fof(dt_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) => m1_subset_1(C, A)) ) ) ) ).
fof(dt_m2_yellow_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) ) )  =>  (! [C] :  (m2_yellow_6(C, A, B) =>  ( ~ (v2_struct_0(C))  &  (v4_orders_2(C) &  (v7_waybel_0(C) & l1_waybel_0(C, A)) ) ) ) ) ) ) ).
fof(dt_m4_yellow_6, axiom, $true).
fof(dt_o_0_0_xboole_0, axiom, v1_xboole_0(o_0_0_xboole_0)).
fof(dt_o_2_13_waybel33, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) &  (v1_waybel33(A) & l1_waybel_9(A)) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(k2_yellow_1(k2_struct_0(A)))))  => m1_subset_1(o_2_13_waybel33(A, B), B)) ) ).
fof(dt_o_3_10_waybel33, axiom,  (! [A, B, C] :  ( ( (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) &  (v1_waybel33(A) & l1_waybel_9(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) )  &  (v6_waybel_0(C, A) & m2_yellow_6(C, A, B)) ) )  => m1_subset_1(o_3_10_waybel33(A, B, C), u1_struct_0(C))) ) ).
fof(dt_u1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) => m1_subset_1(u1_orders_2(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_u1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) => m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_u1_struct_0, axiom, $true).
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)) & m1_subset_1(u1_waybel_0(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) ) ).
fof(existence_l1_orders_2, axiom,  (? [A] : l1_orders_2(A)) ).
fof(existence_l1_pre_topc, axiom,  (? [A] : l1_pre_topc(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l1_waybel_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (? [B] : l1_waybel_0(B, A)) ) ) ).
fof(existence_l1_waybel_9, axiom,  (? [A] : l1_waybel_9(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m1_yellow_6, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l1_waybel_0(B, A))  =>  (? [C] : m1_yellow_6(C, A, B)) ) ) ).
fof(existence_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (? [C] : m2_subset_1(C, A, B)) ) ) ).
fof(existence_m2_yellow_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) ) )  =>  (? [C] : m2_yellow_6(C, A, B)) ) ) ).
fof(existence_m4_yellow_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] : m4_yellow_6(B, A)) ) ) ).
fof(fc10_finset_1, axiom,  (! [A, B] :  (v1_finset_1(B) => v1_finset_1(k3_xboole_0(A, B))) ) ).
fof(fc10_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
fof(fc10_relset_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A)))) )  =>  ( ~ (v1_xboole_0(k5_relat_1(A, B)))  & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc10_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k2_zfmisc_1(A, B))) ) ) ).
fof(fc10_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  => v3_pre_topc(k2_struct_0(A), A)) ) ).
fof(fc10_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) & l1_orders_2(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v12_waybel_0(k3_waybel_0(A, B), A)) ) ).
fof(fc11_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k3_xboole_0(A, B))) ) ).
fof(fc11_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A))) ) ).
fof(fc11_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) & l1_orders_2(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v13_waybel_0(k4_waybel_0(A, B), A)) ) ).
fof(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(A))) ) ) ).
fof(fc12_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k4_xboole_0(A, B))) ) ).
fof(fc12_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(B))  =>  (v1_xboole_0(k3_relat_1(A, B)) & v1_relat_1(k3_relat_1(A, B))) ) ) ).
fof(fc12_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ~ (v1_subset_1(k2_struct_0(A), u1_struct_0(A))) ) ) ).
fof(fc12_tops_1, axiom,  (! [A] :  (l1_pre_topc(A) => v1_tops_1(k2_struct_0(A), A)) ) ).
fof(fc13_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(A, B))) ) ) ).
fof(fc13_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(B))  =>  (v1_xboole_0(k3_relat_1(B, A)) & v1_relat_1(k3_relat_1(B, A))) ) ) ).
fof(fc14_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, A))) ) ) ).
fof(fc14_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_zfmisc_1(A, B))) ) ).
fof(fc14_tops_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ~ (v2_tops_1(k2_struct_0(A), A)) ) ) ).
fof(fc14_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v12_waybel_0(k2_struct_0(A), A) & v13_waybel_0(k2_struct_0(A), A)) ) ) ).
fof(fc15_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v2_relat_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_relat_1(k3_relat_1(A, B))) ) ) ).
fof(fc15_tops_1, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v3_tops_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v1_tops_1(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc15_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  &  (v1_waybel_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v1_waybel_0(k3_waybel_0(A, B), A)) ) ).
fof(fc15_yellow_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ~ (v2_struct_0(B))  & l1_waybel_0(B, A)) )  =>  (v1_funct_1(u1_waybel_0(A, B)) &  ( ~ (v1_xboole_0(u1_waybel_0(A, B)))  & v1_funct_2(u1_waybel_0(A, B), u1_struct_0(B), u1_struct_0(A))) ) ) ) ).
fof(fc16_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  =>  (v1_xboole_0(k5_relat_1(A, B)) & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc16_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  &  (v2_waybel_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v2_waybel_0(k4_waybel_0(A, B), A)) ) ).
fof(fc17_card_1, axiom,  (! [A, B] :  ( (v1_card_1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) )  => v3_card_1(k9_xtuple_0(B), A)) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc17_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_xboole_0(k5_relat_1(A, B)) & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc17_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_orders_2(A) &  (v1_yellow_0(A) & l1_orders_2(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ (v1_xboole_0(k11_waybel_0(A, B))) ) ) ).
fof(fc18_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_zfmisc_1(A))  &  (v3_card_1(B, 1) & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  ~ (v1_xboole_0(k4_xboole_0(A, B))) ) ) ).
fof(fc18_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_orders_2(A) &  (v2_yellow_0(A) & l1_orders_2(A)) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  ~ (v1_xboole_0(k12_waybel_0(A, B))) ) ) ).
fof(fc18_yellow_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(k5_yellow_6(A))) ) ) ).
fof(fc19_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k9_xtuple_0(A))) ) ).
fof(fc19_struct_0, axiom,  (! [A, B] :  ( (v1_card_1(A) &  (v13_struct_0(B, A) & l1_struct_0(B)) )  => v3_card_1(u1_struct_0(B), A)) ) ).
fof(fc19_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (v1_xboole_0(k11_waybel_0(A, B))) ) ) ).
fof(fc1_classes2, axiom,  (! [A] : v2_classes1(k1_classes1(A))) ).
fof(fc1_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k3_xboole_0(A, B))) ) ).
fof(fc1_struct_0, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_struct_0(A))  => v1_xboole_0(u1_struct_0(A))) ) ).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_waybel28, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v4_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_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(A))))) ) ) )  =>  ( ~ (v2_struct_0(g1_waybel_0(A, u1_struct_0(B), u1_orders_2(B), C)))  &  (v4_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))) ) ) ) ) ).
fof(fc1_waybel_0, axiom,  (! [A] :  ( (v1_lattice3(A) & l1_orders_2(A))  => v1_waybel_0(k2_struct_0(A), A)) ) ).
fof(fc1_waybel_7, axiom,  (! [A] :  (v1_orders_2(k2_yellow_1(A)) & v11_waybel_1(k2_yellow_1(A))) ) ).
fof(fc1_xtuple_0, axiom,  (! [A, B] : v1_xtuple_0(k4_tarski(A, B))) ).
fof(fc1_yellow13, axiom,  (! [A] :  ( (v1_compts_1(A) & l1_pre_topc(A))  => v2_compts_1(k2_struct_0(A), A)) ) ).
fof(fc1_yellow_6, axiom,  (! [A] :  (v1_ordinal1(k1_yellow_6(A)) & v2_classes1(k1_yellow_6(A))) ) ).
fof(fc20_finset_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v1_finset_1(k3_relat_1(B, A))) ) ) ).
fof(fc20_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (v1_xboole_0(k12_waybel_0(A, B))) ) ) ).
fof(fc21_waybel_0, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & l1_orders_2(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v1_waybel_0(k11_waybel_0(A, B), A)) ) ).
fof(fc22_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k10_xtuple_0(A))) ) ).
fof(fc22_waybel_0, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v2_waybel_0(k12_waybel_0(A, B), A)) ) ).
fof(fc22_waybel_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) & l1_waybel_0(B, A)) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  ( ~ (v2_struct_0(k4_waybel_9(A, B, C)))  &  (v3_orders_2(k4_waybel_9(A, B, C)) & v6_waybel_0(k4_waybel_9(A, B, C), A)) ) ) ) ).
fof(fc23_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v3_relat_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc23_waybel_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v7_waybel_0(B) & l1_waybel_0(B, A)) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  ( ~ (v2_struct_0(k4_waybel_9(A, B, C)))  & v6_waybel_0(k4_waybel_9(A, B, C), A)) ) ) ).
fof(fc24_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k9_xtuple_0(A))) ) ).
fof(fc24_waybel_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v5_orders_2(B) & l1_waybel_0(B, A)) ) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  (v5_orders_2(k4_waybel_9(A, B, C)) & v6_waybel_0(k4_waybel_9(A, B, C), A)) ) ) ).
fof(fc24_yellow_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  & m4_yellow_6(B, A))  =>  ( ~ (v2_struct_0(k12_yellow_6(A, B)))  & v1_pre_topc(k12_yellow_6(A, B))) ) ) ).
fof(fc25_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc25_waybel_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v5_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  (v5_orders_2(k4_waybel_9(A, B, C)) & v6_waybel_0(k4_waybel_9(A, B, C), A)) ) ) ).
fof(fc25_yellow_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  & m4_yellow_6(B, A))  =>  (v1_pre_topc(k12_yellow_6(A, B)) & v2_pre_topc(k12_yellow_6(A, B))) ) ) ).
fof(fc26_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_finset_1(B))  =>  (v1_relat_1(k5_relat_1(B, A)) & v1_finset_1(k5_relat_1(B, A))) ) ) ).
fof(fc26_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v5_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) & v5_relat_1(k5_relat_1(C, A), B)) ) ) ).
fof(fc26_waybel_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) & l1_waybel_0(B, A)) ) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  (v4_orders_2(k4_waybel_9(A, B, C)) & v6_waybel_0(k4_waybel_9(A, B, C), A)) ) ) ).
fof(fc27_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k5_relat_1(B, A)) & v1_finset_1(k5_relat_1(B, A))) ) ) ).
fof(fc27_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v4_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) &  (v4_relat_1(k5_relat_1(C, A), A) & v4_relat_1(k5_relat_1(C, A), B)) ) ) ) ).
fof(fc27_waybel_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) )  & m1_subset_1(C, u1_struct_0(B))) )  =>  (v4_orders_2(k4_waybel_9(A, B, C)) &  (v6_waybel_0(k4_waybel_9(A, B, C), A) & v7_waybel_0(k4_waybel_9(A, B, C))) ) ) ) ).
fof(fc29_relat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  =>  (v1_relat_1(k3_relat_1(C, B)) & v5_relat_1(k3_relat_1(C, B), A)) ) ) ).
fof(fc2_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k4_xboole_0(A, B))) ) ).
fof(fc2_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(fc2_tops_1, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v3_pre_topc(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc2_waybel28, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v4_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_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) ) )  =>  ( ~ (v2_struct_0(k1_waybel28(A, B, C)))  &  (v4_orders_2(k1_waybel28(A, B, C)) &  (v6_waybel_0(k1_waybel28(A, B, C), A) & v7_waybel_0(k1_waybel28(A, B, C))) ) ) ) ) ).
fof(fc2_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_yellow_0(A) & l1_orders_2(A)) )  => v1_waybel_0(k2_struct_0(A), A)) ) ).
fof(fc2_waybel_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v7_struct_0(k2_yellow_1(A)))  & v1_orders_2(k2_yellow_1(A))) ) ) ).
fof(fc2_waybel_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  &  ( ( ~ (v1_xboole_0(B))  &  (v1_waybel_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) ) ) )  =>  (v6_waybel_0(g1_waybel_0(A, B, k1_toler_1(u1_orders_2(A), B), C), A) & v7_waybel_0(g1_waybel_0(A, B, k1_toler_1(u1_orders_2(A), B), C))) ) ) ).
fof(fc2_yellow_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ~ (v1_xboole_0(k2_struct_0(A))) ) ) ).
fof(fc2_yellow_6, axiom,  (! [A] :  ( ~ (v1_xboole_0(k1_yellow_6(A)))  & v1_classes2(k1_yellow_6(A))) ) ).
fof(fc30_relat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  =>  (v1_relat_1(k3_relat_1(B, C)) & v4_relat_1(k3_relat_1(B, C), A)) ) ) ).
fof(fc31_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc33_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_relat_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc35_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  => v1_finset_1(k1_funct_1(A, B))) ) ).
fof(fc36_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_finset_1(A))  => v5_finset_1(k10_xtuple_0(A))) ) ).
fof(fc3_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => v1_classes2(k1_classes1(A))) ) ).
fof(fc3_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k4_xboole_0(B, C), A)) ) ).
fof(fc3_tops_1, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v4_pre_topc(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc3_waybel_0, axiom,  (! [A] :  ( (v2_lattice3(A) & l1_orders_2(A))  => v2_waybel_0(k2_struct_0(A), A)) ) ).
fof(fc3_waybel_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  &  ( ( ~ (v1_xboole_0(B))  &  (v1_waybel_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, B, u1_struct_0(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) ) ) )  =>  (v4_orders_2(g1_waybel_0(A, B, k1_toler_1(u1_orders_2(A), B), C)) & v6_waybel_0(g1_waybel_0(A, B, k1_toler_1(u1_orders_2(A), B), C), A)) ) ) ).
fof(fc4_classes2, axiom,  (! [A] :  (v3_ordinal1(A) => v1_classes2(k1_classes1(A))) ) ).
fof(fc4_struct_0, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_struct_0(A))  => v1_xboole_0(k2_struct_0(A))) ) ).
fof(fc4_tops_1, axiom,  (! [A, B, C] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  ( (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v4_pre_topc(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v4_pre_topc(k3_xboole_0(B, C), A)) ) ).
fof(fc4_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_yellow_0(A) & l1_orders_2(A)) )  => v2_waybel_0(k2_struct_0(A), A)) ) ).
fof(fc4_xtuple_0, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
fof(fc4_yellow19, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ~ (v1_xboole_0(C))  &  (v2_waybel_0(C, k2_yellow_1(B)) &  (v13_waybel_0(C, k2_yellow_1(B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_yellow_1(B))))) ) ) ) )  =>  ( ~ (v2_struct_0(k3_yellow19(A, B, C)))  &  (v3_orders_2(k3_yellow19(A, B, C)) &  (v4_orders_2(k3_yellow19(A, B, C)) & v6_waybel_0(k3_yellow19(A, B, C), A)) ) ) ) ) ).
fof(fc5_classes2, axiom,  (! [A] : v1_ordinal1(k5_classes1(A))) ).
fof(fc5_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc5_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(k2_struct_0(A))) ) ) ).
fof(fc5_waybel_0, axiom,  (! [A, B, C, D] :  ( (l1_struct_0(A) &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) &  (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, u1_struct_0(A))))) ) ) ) )  =>  ( ~ (v2_struct_0(g1_waybel_0(A, B, C, D)))  & v6_waybel_0(g1_waybel_0(A, B, C, D), A)) ) ) ).
fof(fc5_xtuple_0, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A))) ) ).
fof(fc5_yellow19, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  ( ~ (v1_xboole_0(C))  &  (v1_subset_1(C, u1_struct_0(k2_yellow_1(B))) &  (v2_waybel_0(C, k2_yellow_1(B)) &  (v13_waybel_0(C, k2_yellow_1(B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_yellow_1(B))))) ) ) ) ) )  =>  ( ~ (v2_struct_0(k3_yellow19(A, B, C)))  &  (v6_waybel_0(k3_yellow19(A, B, C), A) & v7_waybel_0(k3_yellow19(A, B, C))) ) ) ) ).
fof(fc6_classes2, axiom,  (! [A] :  (v1_ordinal1(A) => v1_ordinal1(k1_classes1(A))) ) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(fc6_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k4_xboole_0(B, C), A)) ) ).
fof(fc6_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc6_tops_1, axiom,  (! [A, B, C] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v3_pre_topc(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v3_pre_topc(k3_xboole_0(B, C), A)) ) ).
fof(fc6_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (v1_xboole_0(k3_waybel_0(A, B))) ) ) ).
fof(fc6_yellow19, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v2_waybel_0(B, k2_yellow_1(k2_struct_0(A))) &  (v13_waybel_0(B, k2_yellow_1(k2_struct_0(A))) &  (v3_waybel_7(B, k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A)))))) ) ) ) )  =>  ( ~ (v2_struct_0(k3_yellow19(A, k2_struct_0(A), B)))  &  (v6_waybel_0(k3_yellow19(A, k2_struct_0(A), B), A) & v1_yellow19(k3_yellow19(A, k2_struct_0(A), B), A)) ) ) ) ).
fof(fc6_yellow_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  (v12_waybel_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v13_waybel_0(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc7_struct_0, axiom,  (! [A] :  ( (v7_struct_0(A) & l1_struct_0(A))  => v1_zfmisc_1(u1_struct_0(A))) ) ).
fof(fc7_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (v1_xboole_0(k4_waybel_0(A, B))) ) ) ).
fof(fc7_yellow_1, axiom,  (! [A] :  ( ~ (v2_struct_0(k2_yellow_1(A)))  &  (v1_orders_2(k2_yellow_1(A)) &  (v3_orders_2(k2_yellow_1(A)) &  (v4_orders_2(k2_yellow_1(A)) & v5_orders_2(k2_yellow_1(A))) ) ) ) ) ).
fof(fc7_yellow_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  (v13_waybel_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v12_waybel_0(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc8_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k9_xtuple_0(A))) ) ) ).
fof(fc8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))) => v1_relat_1(k9_xtuple_0(D))) ) ).
fof(fc8_struct_0, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  => v1_finset_1(u1_struct_0(A))) ) ).
fof(fc8_yellow_1, axiom,  (! [A] :  (v1_orders_2(k2_yellow_1(A)) & v3_lattice3(k2_yellow_1(A))) ) ).
fof(fc8_yellow_6, axiom,  (! [A] :  (v1_orders_2(k2_yellow_1(A)) & v7_waybel_0(k2_yellow_1(A))) ) ).
fof(fc9_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k10_xtuple_0(A))) ) ) ).
fof(fc9_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) => v1_relat_1(k10_xtuple_0(D))) ) ).
fof(fc9_struct_0, axiom,  (! [A] :  ( ( ~ (v8_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_finset_1(u1_struct_0(A))) ) ) ).
fof(fraenkel_a_1_2_waybel33, axiom,  (! [A, B] :  ( (v2_pre_topc(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) &  (v1_waybel33(B) & l1_waybel_9(B)) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_2_waybel33(B)) <=>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))) &  (A=C &  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (r2_tarski(D, C) =>  (! [E] :  ( ( ~ (v2_struct_0(E))  &  (v4_orders_2(E) &  (v7_waybel_0(E) & l1_waybel_0(E, B)) ) )  =>  (r2_hidden(k4_tarski(E, D), k3_waybel28(B)) => r1_waybel_0(B, E, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_0_waybel33, axiom,  (! [A, B, C] :  ( ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v4_orders_2(C) &  (v7_waybel_0(C) & l1_waybel_0(C, B)) ) ) )  =>  (r2_hidden(A, a_2_0_waybel33(B, C)) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(C)) & A=k1_waybel_9(B, k5_waybel_9(B, C, D))) ) ) ) ) ).
fof(fraenkel_a_2_12_waybel33, axiom,  (! [A, B, C] :  ( ( (v2_pre_topc(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) &  (v1_waybel33(B) & l1_waybel_9(B)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v2_waybel_0(C, k2_yellow_1(k2_struct_0(B))) &  (v13_waybel_0(C, k2_yellow_1(k2_struct_0(B))) &  (v3_waybel_7(C, k2_yellow_1(k2_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B)))))) ) ) ) )  =>  (r2_hidden(A, a_2_12_waybel33(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, u1_struct_0(B)) & m2_subset_1(E, u1_struct_0(k2_yellow_1(k2_struct_0(B))), C))  &  (A=k1_domain_1(u1_struct_0(B), C, D, E) & r2_tarski(D, E)) ) ) ) ) ) ).
fof(fraenkel_a_2_14_waybel33, axiom,  (! [A, B, C] :  ( ( (v2_pre_topc(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) &  (v1_waybel33(B) & l1_waybel_9(B)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v2_waybel_0(C, k2_yellow_1(k2_struct_0(B))) &  (v13_waybel_0(C, k2_yellow_1(k2_struct_0(B))) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(B)))))) ) ) )  =>  (r2_hidden(A, a_2_14_waybel33(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=k2_yellow_0(B, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_1_waybel11, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  &  ( ~ (v2_struct_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_waybel_0(B, C, D)) ) ) ) ) ).
fof(fraenkel_a_2_1_yellow_6, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  & m4_yellow_6(C, B))  =>  (r2_hidden(A, a_2_1_yellow_6(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) &  (A=D &  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (r2_tarski(E, D) =>  (! [F] :  ( ( ~ (v2_struct_0(F))  &  (v4_orders_2(F) &  (v7_waybel_0(F) & l1_waybel_0(F, B)) ) )  =>  (r2_hidden(k4_tarski(F, E), C) => r1_waybel_0(B, F, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_2_2_waybel_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_2_waybel_0(B, C)) <=>  (? [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(C)))  &  (A=k1_yellow_0(B, D) & r1_yellow_0(B, D)) ) ) ) ) ) ).
fof(fraenkel_a_2_3_waybel_0, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  =>  (r2_hidden(A, a_2_3_waybel_0(B, C)) <=>  (? [D] :  ( (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(C)))  &  (A=k2_yellow_0(B, D) & r2_yellow_0(B, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_waybel33, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) & l1_orders_2(B)) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  &  ( ~ (v1_xboole_0(D))  &  (v2_waybel_0(D, k2_yellow_1(C)) &  (v13_waybel_0(D, k2_yellow_1(C)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k2_yellow_1(C))))) ) ) ) )  =>  (r2_hidden(A, a_3_0_waybel33(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) &  (A=k2_yellow_0(B, E) & r2_tarski(E, D)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_waybel_9, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  &  ( ( ~ (v2_struct_0(C))  & l1_waybel_0(C, B))  & m1_subset_1(D, u1_struct_0(C))) )  =>  (r2_hidden(A, a_3_0_waybel_9(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(C)) &  (A=E & r1_orders_2(C, D, E)) ) ) ) ) ) ).
fof(fraenkel_a_3_0_yellow19, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  & l1_struct_0(B))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  &  ( ~ (v1_xboole_0(D))  &  (v2_waybel_0(D, k2_yellow_1(C)) &  (v13_waybel_0(D, k2_yellow_1(C)) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k2_yellow_1(C))))) ) ) ) )  =>  (r2_hidden(A, a_3_0_yellow19(B, C, D)) <=>  (? [E, F] :  ( (m1_subset_1(E, u1_struct_0(B)) & m2_subset_1(F, u1_struct_0(k2_yellow_1(C)), D))  &  (A=k4_tarski(E, F) & r2_tarski(E, F)) ) ) ) ) ) ).
fof(fraenkel_a_3_11_waybel33, axiom,  (! [A, B, C, D] :  ( ( (v2_pre_topc(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) &  (v1_waybel33(B) & l1_waybel_9(B)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v4_orders_2(C) &  (v7_waybel_0(C) & l1_waybel_0(C, B)) ) )  &  (v6_waybel_0(D, B) & m2_yellow_6(D, B, C)) ) )  =>  (r2_hidden(A, a_3_11_waybel33(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(D)) & A=k2_relset_1(u1_struct_0(B), u1_waybel_0(B, k5_waybel_9(B, D, E)))) ) ) ) ) ).
fof(fraenkel_a_3_12_waybel33, axiom,  (! [A, B, C, D] :  ( ( (v2_pre_topc(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) &  (v1_waybel33(B) & l1_waybel_9(B)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v4_orders_2(C) &  (v7_waybel_0(C) & l1_waybel_0(C, B)) ) )  &  (v6_waybel_0(D, B) & m2_yellow_6(D, B, C)) ) )  =>  (r2_hidden(A, a_3_12_waybel33(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(D)) & A=k1_waybel_9(B, k5_waybel_9(B, D, E))) ) ) ) ) ).
fof(fraenkel_a_4_0_waybel33, axiom,  (! [A, B, C, D, E] :  ( ( (v2_pre_topc(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) &  (v1_waybel33(B) & l1_waybel_9(B)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v4_orders_2(C) &  (v7_waybel_0(C) & l1_waybel_0(C, B)) ) )  &  ( (v6_waybel_0(D, B) & m2_yellow_6(D, B, C))  & m1_subset_1(E, u1_struct_0(D))) ) )  =>  (r2_hidden(A, a_4_0_waybel33(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(D)) &  (A=F & r1_orders_2(D, E, F)) ) ) ) ) ) ).
fof(fraenkel_a_4_1_waybel33, axiom,  (! [A, B, C, D, E] :  ( ( (v2_pre_topc(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) &  (v1_waybel33(B) & l1_waybel_9(B)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(C))  &  (v4_orders_2(C) &  (v7_waybel_0(C) & l1_waybel_0(C, B)) ) )  &  ( (v6_waybel_0(D, B) & m2_yellow_6(D, B, C))  &  (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(D), u1_struct_0(D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(D), u1_struct_0(D))))) ) ) ) )  =>  (r2_hidden(A, a_4_1_waybel33(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(k1_waybel28(B, D, E))) & A=k2_waybel_0(B, k1_waybel28(B, D, E), F)) ) ) ) ) ).
fof(free_g1_orders_2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C, D] :  (g1_orders_2(A, B)=g1_orders_2(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(free_g1_pre_topc, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C, D] :  (g1_pre_topc(A, B)=g1_pre_topc(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(free_g1_waybel_0, axiom,  (! [A, B, C, D] :  ( (l1_struct_0(A) &  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B))) &  (v1_funct_1(D) &  (v1_funct_2(D, B, u1_struct_0(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(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) ) ) ) ) ) ) ).
fof(idempotence_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, A)=A) ).
fof(idempotence_k8_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k8_subset_1(A, B, B)=B) ) ).
fof(idempotence_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, B)=B) ) ).
fof(involutiveness_k3_subset_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k3_subset_1(A, k3_subset_1(A, B))=B) ) ).
fof(rc10_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_card_1(B)) ) ) ) ).
fof(rc10_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) ) ) ) ).
fof(rc10_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v2_waybel_0(B, A) & v13_waybel_0(B, A)) ) ) ) ) ) ).
fof(rc11_waybel_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_waybel_0(B, A) &  (v2_waybel_0(B, A) &  (v12_waybel_0(B, A) & v13_waybel_0(B, A)) ) ) ) ) ) ) ) ).
fof(rc1_card_1, axiom,  (? [A] : v1_card_1(A)) ).
fof(rc1_classes2, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_classes2(A)) ) ).
fof(rc1_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ).
fof(rc1_relat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_relat_1(A)) ) ).
fof(rc1_relset_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ) ) ).
fof(rc1_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc1_tex_1, axiom,  (? [A] :  (l1_pre_topc(A) &  (v13_struct_0(A, 1) & v1_pre_topc(A)) ) ) ).
fof(rc1_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B, A)) ) ) ) ).
fof(rc1_waybel33, axiom,  (? [A] :  (l1_waybel_9(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_waybel_3(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & v1_waybel33(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_waybel_0(B, A) & v2_waybel_0(B, A)) ) ) ) ) ).
fof(rc1_waybel_9, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) ) )  =>  (? [C] :  (m2_yellow_6(C, A, B) &  ( ~ (v2_struct_0(C))  &  (v4_orders_2(C) &  (v6_waybel_0(C, A) & v7_waybel_0(C)) ) ) ) ) ) ) ).
fof(rc1_xtuple_0, axiom,  (? [A] : v1_xtuple_0(A)) ).
fof(rc1_yellow_0, axiom,  (? [A] :  (l1_orders_2(A) &  (v13_struct_0(A, 1) &  (v1_orders_2(A) & v3_orders_2(A)) ) ) ) ).
fof(rc21_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc22_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc23_struct_0, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (l1_struct_0(B) & v13_struct_0(B, A)) ) ) ) ).
fof(rc2_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (? [B] :  (m1_subset_1(B, A) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc2_finset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_finset_1(B)) ) ) ).
fof(rc2_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_tex_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v7_struct_0(A))  & v1_pre_topc(A)) ) ) ).
fof(rc2_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v3_pre_topc(B, A) & v4_pre_topc(B, A)) ) ) ) ) ).
fof(rc2_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_waybel_0(B, A) & v2_waybel_0(B, A)) ) ) ) ) ) ) ).
fof(rc2_waybel_7, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_yellow_0(A) & l1_orders_2(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_subset_1(B, u1_struct_0(A)) &  (v2_waybel_0(B, A) & v13_waybel_0(B, A)) ) ) ) ) ) ) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
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)) ) ) ) ) ).
fof(rc3_relat_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, A)) ) ) ) ).
fof(rc3_tex_1, axiom,  (? [A] :  (l1_pre_topc(A) &  (v13_struct_0(A, 1) &  (v1_pre_topc(A) & v2_pre_topc(A)) ) ) ) ).
fof(rc3_tops_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v3_pre_topc(B, A) & v4_pre_topc(B, A)) ) ) ) ) ) ).
fof(rc3_yellow_6, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v4_orders_2(A) & v7_waybel_0(A)) ) ) ) ) ).
fof(rc4_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(rc4_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc4_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_subset_1(B, A)) ) ) ) ).
fof(rc4_tex_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v7_struct_0(A))  &  (v1_pre_topc(A) & v2_pre_topc(A)) ) ) ) ).
fof(rc4_tops_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v1_tops_1(B, A)) ) ) ) ).
fof(rc4_waybel_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (? [B] :  (l1_waybel_0(B, A) & v6_waybel_0(B, A)) ) ) ) ).
fof(rc4_waybel_3, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_pre_topc(A) & v1_compts_1(A)) ) ) ) ) ).
fof(rc5_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc5_tex_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) &  (v2_pre_topc(A) &  (v1_tdlat_3(A) &  ~ (v2_tdlat_3(A)) ) ) ) ) ) ) ).
fof(rc5_tops_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v2_tops_1(B, A)) ) ) ) ).
fof(rc5_waybel_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (? [B] :  (l1_waybel_0(B, A) &  ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v6_waybel_0(B, A) & v7_waybel_0(B)) ) ) ) ) ) ) ) ) ).
fof(rc5_waybel_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))) &  ( ~ (v1_xboole_0(B))  &  (v2_waybel_0(B, k2_yellow_1(A)) &  (v13_waybel_0(B, k2_yellow_1(A)) & v3_waybel_7(B, k2_yellow_1(A))) ) ) ) ) ) ) ).
fof(rc6_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_finset_1(B)) ) ) ) ) ).
fof(rc6_finset_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ).
fof(rc6_subset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc6_tex_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) &  (v2_pre_topc(A) &  ( ~ (v1_tdlat_3(A))  & v2_tdlat_3(A)) ) ) ) ) ) ).
fof(rc6_tops_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  ~ (v2_tops_1(B, A)) ) ) ) ) ) ).
fof(rc7_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(rc7_finset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ) ) ).
fof(rc7_tex_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) &  (v2_pre_topc(A) &  ( ~ (v1_tdlat_3(A))  &  ~ (v2_tdlat_3(A)) ) ) ) ) ) ) ).
fof(rc7_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v3_tops_1(B, A)) ) ) ) ).
fof(rc7_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v12_waybel_0(B, A) & v13_waybel_0(B, A)) ) ) ) ) ).
fof(rc8_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) ) ) ) ).
fof(rc8_finset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_zfmisc_1(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc8_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v12_waybel_0(B, A) & v13_waybel_0(B, A)) ) ) ) ) ) ).
fof(rc9_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v3_card_1(B, 1)) ) ) ) ).
fof(rc9_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(A)) ) ) ).
fof(rc9_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_waybel_0(B, A) & v12_waybel_0(B, A)) ) ) ) ) ) ).
fof(rd1_xtuple_0, axiom,  (! [A, B] : k1_xtuple_0(k4_tarski(A, B))=A) ).
fof(rd2_xtuple_0, axiom,  (! [A, B] : k2_xtuple_0(k4_tarski(A, B))=B) ).
fof(rd3_xtuple_0, axiom,  (! [A] :  (v1_xtuple_0(A) => k4_tarski(k1_xtuple_0(A), k2_xtuple_0(A))=A) ) ).
fof(rd4_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k5_relat_1(A, k9_xtuple_0(A))=A) ) ).
fof(rd5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => k5_relat_1(k5_relat_1(A, B), B)=k5_relat_1(A, B)) ) ).
fof(rd8_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k5_relat_1(B, A)=B) ) ).
fof(redefinition_k1_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) & m1_subset_1(D, B)) ) )  => k1_domain_1(A, B, C, D)=k4_tarski(C, D)) ) ).
fof(redefinition_k1_partfun1, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))))  &  (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) )  => k1_partfun1(A, B, C, D, E, F)=k3_relat_1(E, F)) ) ).
fof(redefinition_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k1_relset_1(A, B)=k9_xtuple_0(B)) ) ).
fof(redefinition_k1_toler_1, axiom,  (! [A, B] :  (v1_relat_1(A) => k1_toler_1(A, B)=k2_wellord1(A, B)) ) ).
fof(redefinition_k1_xfamily, axiom,  (! [A] : k1_xfamily(A)=k1_xtuple_0(A)) ).
fof(redefinition_k2_partfun1, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => k2_partfun1(A, B, C, D)=k5_relat_1(C, D)) ) ).
fof(redefinition_k2_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => k2_relset_1(A, B)=k10_xtuple_0(B)) ) ).
fof(redefinition_k2_waybel28, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v4_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_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) ) ) )  => k2_waybel28(A, B, C)=k1_waybel28(A, B, C)) ) ).
fof(redefinition_k2_xfamily, axiom,  (! [A] : k2_xfamily(A)=k2_xtuple_0(A)) ).
fof(redefinition_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => k3_funct_2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(redefinition_k5_waybel_9, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  &  ( ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) )  & m1_subset_1(C, u1_struct_0(B))) )  => k5_waybel_9(A, B, C)=k4_waybel_9(A, B, C)) ) ).
fof(redefinition_k6_subset_1, axiom,  (! [A, B] : k6_subset_1(A, B)=k4_xboole_0(A, B)) ).
fof(redefinition_k8_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k8_subset_1(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(redefinition_k9_setfam_1, axiom,  (! [A] : k9_setfam_1(A)=k1_zfmisc_1(A)) ).
fof(redefinition_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(redefinition_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(redefinition_r1_funct_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) ) ) ) )  =>  (r1_funct_2(A, B, C, D, E, F) <=> E=F) ) ) ).
fof(redefinition_r2_relset_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r2_relset_1(A, B, C, D) <=> C=D) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(redefinition_r3_orders_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_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)) ) ) ).
fof(reflexivity_r1_funct_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) ) ) ) )  => r1_funct_2(A, B, C, D, E, E)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r2_relset_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => r2_relset_1(A, B, C, C)) ) ).
fof(reflexivity_r3_orders_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_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)) ) ).
fof(s3_funct_2__e6_32_2_7__waybel33, axiom,  (! [A, B, C, D] :  ( ( (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) &  (v1_waybel33(A) & l1_waybel_9(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) )  &  ( (v6_waybel_0(C, A) & m2_yellow_6(C, A, B))  & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  ( (! [E] :  (m1_subset_1(E, u1_struct_0(C)) =>  (? [F] :  (m1_subset_1(F, u1_struct_0(C)) &  (r1_orders_2(C, E, F) & r2_tarski(k2_waybel_0(A, C, F), D)) ) ) ) )  =>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(C), u1_struct_0(C)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(C), u1_struct_0(C))))) )  &  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (r1_orders_2(C, F, k3_funct_2(u1_struct_0(C), u1_struct_0(C), E, F)) & r2_tarski(k2_waybel_0(A, C, k3_funct_2(u1_struct_0(C), u1_struct_0(C), E, F)), D)) ) ) ) ) ) ) ) ).
fof(s6_funct_1__e8_32_2_3__waybel33, axiom,  (! [A, B, C, D] :  ( ( (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) &  (v1_waybel33(A) & l1_waybel_9(A)) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) )  &  ( (v6_waybel_0(C, A) & m2_yellow_6(C, A, B))  &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A)))))) ) ) )  =>  ( (! [E] :  ~ ( (r2_hidden(E, D) &  (! [F] :  ~ ( (r2_hidden(F, u1_struct_0(C)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(C)) &  (G=F & E=k2_relset_1(u1_struct_0(A), u1_waybel_0(A, k5_waybel_9(A, C, G)))) ) ) ) ) ) ) ) )  =>  (? [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  &  (k9_xtuple_0(E)=D &  (r1_tarski(k10_xtuple_0(E), u1_struct_0(C)) &  (! [F] :  (r2_hidden(F, D) =>  (? [H] :  (m1_subset_1(H, u1_struct_0(C)) &  (H=k1_funct_1(E, F) & F=k2_relset_1(u1_struct_0(A), u1_waybel_0(A, k5_waybel_9(A, C, H)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(symmetry_r1_funct_2, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, A, B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(F) &  (v1_funct_2(F, C, D) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D)))) ) ) ) )  =>  (r1_funct_2(A, B, C, D, E, F) => r1_funct_2(A, B, C, D, F, E)) ) ) ).
fof(symmetry_r2_relset_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r2_relset_1(A, B, C, D) => r2_relset_1(A, B, D, C)) ) ) ).
fof(t10_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_waybel_0(B, A))  =>  (! [C] :  (r2_waybel_0(A, B, C) <=>  ~ (r1_waybel_0(A, B, k6_subset_1(u1_struct_0(A), C))) ) ) ) ) ) ) ).
fof(t10_yellow_6, axiom,  (! [A] :  (l1_struct_0(A) =>  (! [B] :  (l1_waybel_0(B, A) =>  (! [C] :  (m1_yellow_6(C, A, B) => r1_tarski(u1_struct_0(C), u1_struct_0(B))) ) ) ) ) ) ).
fof(t11_waybel33, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) )  => k1_waybel11(A, B)=k1_yellow_0(A, a_2_0_waybel33(A, B))) ) ) ) ).
fof(t12_waybel_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_waybel_0(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) => u1_struct_0(k4_waybel_9(A, B, C))=a_3_0_waybel_9(A, B, C)) ) ) ) ) ) ).
fof(t13_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(A, k9_xtuple_0(B)) => k1_funct_1(k3_relat_1(B, C), A)=k1_funct_1(C, k1_funct_1(B, A))) ) ) ) ) ) ).
fof(t13_waybel28, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r2_tarski(B, k5_yellow_6(A)) &  (C=k1_waybel11(A, B) &  (! [D] :  (m2_yellow_6(D, A, B) =>  (r2_tarski(D, k5_yellow_6(A)) => r1_orders_2(A, k1_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) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) ) )  => r1_orders_2(A, k1_waybel_9(A, k2_waybel28(A, B, D)), C)) ) ) ) ) ) ) ) ) ) ).
fof(t14_waybel33, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_subset_1(B, u1_struct_0(k2_yellow_1(k2_struct_0(A)))) &  (v2_waybel_0(B, k2_yellow_1(k2_struct_0(A))) &  (v13_waybel_0(B, k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A)))))) ) ) )  => r2_tarski(k3_yellow19(A, k2_struct_0(A), B), k5_yellow_6(A))) ) ) ) ).
fof(t15_yellow_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v4_orders_2(C) &  (v7_waybel_0(C) & l1_waybel_0(C, A)) ) )  =>  (! [D] :  ( ( ~ (v2_struct_0(D))  &  (v4_orders_2(D) &  (v7_waybel_0(D) & l1_waybel_0(D, A)) ) )  =>  ( (m2_yellow_6(B, A, C) & m2_yellow_6(C, A, D))  => m2_yellow_6(B, A, D)) ) ) ) ) ) ) ) ) ).
fof(t16_waybel33, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_waybel_0(B, k2_yellow_1(k2_struct_0(A))) &  (v13_waybel_0(B, k2_yellow_1(k2_struct_0(A))) &  (v3_waybel_7(B, k2_yellow_1(k2_struct_0(A))) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_yellow_1(k2_struct_0(A)))))) ) ) )  =>  (! [C] :  (m2_yellow_6(C, A, k3_yellow19(A, k2_struct_0(A), B)) => k1_waybel33(A, k2_struct_0(A), B)=k1_waybel11(A, C)) ) ) ) ) ) ).
fof(t16_waybel_0, axiom,  (! [A] :  ( (v3_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, k3_waybel_0(A, B)) & r1_tarski(B, k4_waybel_0(A, B))) ) ) ) ) ).
fof(t16_waybel_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v7_waybel_0(B) & l1_waybel_0(B, A)) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(k4_waybel_9(A, B, C))) =>  (D=E => k2_waybel_0(A, B, D)=k2_waybel_0(A, k4_waybel_9(A, B, C), E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_waybel33, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) )  =>  (! [C] :  ~ ( (r2_waybel_0(A, B, C) &  (! [D] :  ( (v6_waybel_0(D, A) & m2_yellow_6(D, A, B))  =>  ~ ( (r1_tarski(k2_relset_1(u1_struct_0(A), u1_waybel_0(A, D)), C) & m1_yellow_6(D, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(t17_yellow_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_orders_2(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (r1_yellow_0(A, B) & r2_yellow_0(A, B)) ) ) ) ).
fof(t18_yellow_1, axiom,  (! [A] : k3_yellow_0(k2_yellow_1(A))=k1_xboole_0) ).
fof(t19_waybel11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_waybel_0(B, A))  => k2_relset_1(u1_struct_0(A), u1_waybel_0(A, B))=a_2_1_waybel11(A, B)) ) ) ) ).
fof(t19_yellow_1, axiom,  (! [A] : k4_yellow_0(k2_yellow_1(A))=A) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t1_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( ( ~ (v1_xboole_0(B))  & v1_waybel_0(B, A))  <=>  (! [C] :  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(B)))  =>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  (r2_tarski(D, B) & r2_lattice3(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(t1_waybel_7, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (! [C] :  (r1_tarski(B, C) =>  (r3_orders_2(A, k1_yellow_0(A, B), k1_yellow_0(A, C)) & r1_orders_2(A, k2_yellow_0(A, C), k2_yellow_0(A, B))) ) ) ) ) ) ).
fof(t1_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r1_tarski(A, B) & r1_tarski(B, C))  => r1_tarski(A, C)) ) ) ) ).
fof(t20_yellow_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))))  => k2_yellow_0(k2_yellow_1(A), B)=k1_setfam_1(B)) ) ) ).
fof(t26_waybel_7, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v11_waybel_1(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_subset_1(B, u1_struct_0(A)) &  (v2_waybel_0(B, A) &  (v13_waybel_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) ) )  =>  (? [C] :  ( ( ~ (v1_xboole_0(C))  &  (v2_waybel_0(C, A) &  (v13_waybel_0(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  &  (r1_tarski(B, C) & v3_waybel_7(C, A)) ) ) ) ) ) ) ).
fof(t2_boole, axiom,  (! [A] : k3_xboole_0(A, k1_xboole_0)=k1_xboole_0) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
fof(t2_waybel_7, axiom,  (! [A] : u1_struct_0(k2_yellow_1(A))=k9_setfam_1(A)) ).
fof(t2_yellow_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, u1_struct_0(k2_yellow_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k2_yellow_1(A))) =>  (r3_orders_2(k2_yellow_1(A), B, C) <=> r1_tarski(B, C)) ) ) ) ) ) ).
fof(t32_yellow_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_orders_2(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (B=k1_yellow_0(A, C) <=>  (r2_lattice3(A, C, B) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_lattice3(A, C, D) => r1_orders_2(A, B, D)) ) ) ) ) ) ) ) ) ) ).
fof(t34_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (! [C] :  ( (r1_tarski(B, C) &  (r1_yellow_0(A, B) & r1_yellow_0(A, C)) )  => r1_orders_2(A, k1_yellow_0(A, B), k1_yellow_0(A, C))) ) ) ) ) ).
fof(t3_boole, axiom,  (! [A] : k4_xboole_0(A, k1_xboole_0)=A) ).
fof(t3_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r2_hidden(A, k9_xtuple_0(B)) => r2_tarski(k1_funct_1(B, A), k10_xtuple_0(B))) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t3_waybel28, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v4_orders_2(B) &  (v7_waybel_0(B) & l1_waybel_0(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  ( (r2_tarski(B, k5_yellow_6(A)) &  (! [D] :  (m2_yellow_6(D, A, B) =>  (r2_tarski(D, k5_yellow_6(A)) => C=k1_waybel11(A, D)) ) ) )  =>  (C=k1_waybel11(A, B) &  (! [D] :  (m2_yellow_6(D, A, B) =>  (r2_tarski(D, k5_yellow_6(A)) => r1_orders_2(A, k1_waybel_9(A, D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(B, k9_xtuple_0(k5_relat_1(C, A))) => k1_funct_1(k5_relat_1(C, A), B)=k1_funct_1(C, B)) ) ) ) ) ).
fof(t4_boole, axiom,  (! [A] : k4_xboole_0(k1_xboole_0, A)=k1_xboole_0) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t4_subset_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ ( ( ~ (B=k1_xboole_0)  &  (! [C] :  (m1_subset_1(C, A) =>  ~ (r2_tarski(C, B)) ) ) ) ) ) ) ) ).
fof(t4_waybel_7, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v2_waybel_0(B, A) &  (v13_waybel_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_subset_1(B, u1_struct_0(A)) <=>  ~ (r2_tarski(k3_yellow_0(A), B)) ) ) ) ) ) ).
fof(t50_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r1_tarski(B, k11_waybel_0(A, B)) & r1_tarski(B, k12_waybel_0(A, B))) ) ) ) ) ).
fof(t52_funct_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  => k1_relset_1(A, B)=A) ) ) ).
fof(t5_setfam_1, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_tarski(C, A) => r1_tarski(B, C)) )  =>  (A=k1_xboole_0 | r1_tarski(B, k1_setfam_1(A))) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t61_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k9_xtuple_0(k5_relat_1(B, A))=k3_xboole_0(k9_xtuple_0(B), A)) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t6_waybel28, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_waybel_0(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), u1_struct_0(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(B))))) )  => u1_struct_0(k1_waybel28(A, B, C))=u1_struct_0(B)) ) ) ) ) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t87_zfmisc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), k2_zfmisc_1(A, B)) <=>  (r2_hidden(C, A) & r2_hidden(D, B)) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_finset_1(k9_xtuple_0(A)) => v1_finset_1(k10_xtuple_0(A))) ) ) ).
fof(t9_waybel_7, axiom,  (! [A] :  (! [B] :  ( (v13_waybel_0(B, k2_yellow_1(A)) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k2_yellow_1(A)))))  =>  (v2_waybel_0(B, k2_yellow_1(A)) <=>  (! [C] :  (! [D] :  ( (r2_tarski(C, B) & r2_tarski(D, B))  => r2_tarski(k3_xboole_0(C, D), B)) ) ) ) ) ) ) ).
