% Mizar problem: t26_cfuncdom,cfuncdom,863,5 
fof(t26_cfuncdom, conjecture,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k8_cfuncdom(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k8_cfuncdom(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k8_cfuncdom(A))) =>  (! [E] :  (v1_xcmplx_0(E) =>  (! [F] :  (v1_xcmplx_0(F) =>  (k1_algstr_0(k8_cfuncdom(A), B, C)=k1_algstr_0(k8_cfuncdom(A), C, B) &  (k1_algstr_0(k8_cfuncdom(A), k1_algstr_0(k8_cfuncdom(A), B, C), D)=k1_algstr_0(k8_cfuncdom(A), B, k1_algstr_0(k8_cfuncdom(A), C, D)) &  (k1_algstr_0(k8_cfuncdom(A), B, k4_struct_0(k8_cfuncdom(A)))=B &  (v10_algstr_0(B, k8_cfuncdom(A)) &  (k6_algstr_0(k8_cfuncdom(A), B, C)=k6_algstr_0(k8_cfuncdom(A), C, B) &  (k6_algstr_0(k8_cfuncdom(A), k6_algstr_0(k8_cfuncdom(A), B, C), D)=k6_algstr_0(k8_cfuncdom(A), B, k6_algstr_0(k8_cfuncdom(A), C, D)) &  (k6_algstr_0(k8_cfuncdom(A), B, k5_struct_0(k8_cfuncdom(A)))=B &  (k6_algstr_0(k8_cfuncdom(A), B, k1_algstr_0(k8_cfuncdom(A), C, D))=k1_algstr_0(k8_cfuncdom(A), k6_algstr_0(k8_cfuncdom(A), B, C), k6_algstr_0(k8_cfuncdom(A), B, D)) &  (k1_clvect_1(k8_cfuncdom(A), k6_algstr_0(k8_cfuncdom(A), B, C), E)=k6_algstr_0(k8_cfuncdom(A), k1_clvect_1(k8_cfuncdom(A), B, E), C) &  (k1_clvect_1(k8_cfuncdom(A), k1_algstr_0(k8_cfuncdom(A), B, C), E)=k1_algstr_0(k8_cfuncdom(A), k1_clvect_1(k8_cfuncdom(A), B, E), k1_clvect_1(k8_cfuncdom(A), C, E)) &  (k1_clvect_1(k8_cfuncdom(A), B, k2_xcmplx_0(E, F))=k1_algstr_0(k8_cfuncdom(A), k1_clvect_1(k8_cfuncdom(A), B, E), k1_clvect_1(k8_cfuncdom(A), B, F)) & k1_clvect_1(k8_cfuncdom(A), B, k3_xcmplx_0(E, F))=k1_clvect_1(k8_cfuncdom(A), k1_clvect_1(k8_cfuncdom(A), B, F), E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_cfuncdom, axiom,  (! [A] :  (l1_cfuncdom(A) =>  (v1_cfuncdom(A) => A=g1_cfuncdom(u1_struct_0(A), u2_algstr_0(A), u1_algstr_0(A), u1_clvect_1(A), u3_struct_0(A), u2_struct_0(A))) ) ) ).
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_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_int_1(B)) ) ) ) ).
fof(cc10_valued_2, axiom,  (! [A] :  (v2_valued_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_valued_2(B)) ) ) ) ).
fof(cc11_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc11_valued_2, axiom,  (! [A] :  (v3_valued_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_valued_2(B)) ) ) ) ).
fof(cc12_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(A)) ) ).
fof(cc12_valued_2, axiom,  (! [A] :  (v4_valued_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_valued_2(B)) ) ) ) ).
fof(cc13_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_membered(B)) ) ) ) ).
fof(cc13_valued_2, axiom,  (! [A] :  (v5_valued_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_valued_2(B)) ) ) ) ).
fof(cc14_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_membered(B)) ) ) ) ).
fof(cc14_valued_2, axiom,  (! [A] :  (v6_valued_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_valued_2(B)) ) ) ) ).
fof(cc15_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_membered(B)) ) ) ) ).
fof(cc15_valued_2, axiom,  (! [A] :  (v1_valued_2(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_valued_0(B)) ) ) ) ).
fof(cc16_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_membered(B)) ) ) ) ).
fof(cc16_valued_2, axiom,  (! [A] :  (v2_valued_2(A) =>  (! [B] :  (m1_subset_1(B, A) => v2_valued_0(B)) ) ) ) ).
fof(cc17_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_membered(B)) ) ) ) ).
fof(cc17_valued_2, axiom,  (! [A] :  (v3_valued_2(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_valued_0(B)) ) ) ) ).
fof(cc18_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_membered(B)) ) ) ) ).
fof(cc18_valued_2, axiom,  (! [A] :  (v4_valued_2(A) =>  (! [B] :  (m1_subset_1(B, A) => v5_relat_1(B, k3_numbers)) ) ) ) ).
fof(cc19_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(cc19_valued_2, axiom,  (! [A] :  (v5_valued_2(A) =>  (! [B] :  (m1_subset_1(B, A) => v5_relat_1(B, k4_numbers)) ) ) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(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_valued_2, axiom,  (! [A] :  (v6_valued_2(A) => v5_valued_2(A)) ) ).
fof(cc1_xcmplx_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xcmplx_0(A)) ) ).
fof(cc20_valued_2, axiom,  (! [A] :  (v6_valued_2(A) =>  (! [B] :  (m1_subset_1(B, A) => v6_valued_0(B)) ) ) ) ).
fof(cc21_valued_2, axiom,  (! [A] :  (v1_valued_2(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v7_valued_2(B)) ) ) ) ) ) ) ).
fof(cc22_valued_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v12_valued_2(A))  =>  (v1_relat_1(A) & v11_valued_2(A)) ) ) ).
fof(cc23_valued_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v11_valued_2(A))  =>  (v1_relat_1(A) & v10_valued_2(A)) ) ) ).
fof(cc24_valued_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v10_valued_2(A))  =>  (v1_relat_1(A) & v9_valued_2(A)) ) ) ).
fof(cc25_valued_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_valued_2(A))  =>  (v1_relat_1(A) & v8_valued_2(A)) ) ) ).
fof(cc26_valued_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_valued_2(A))  =>  (v1_relat_1(A) & v7_valued_2(A)) ) ) ).
fof(cc27_valued_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v12_valued_2(A)) ) ) ).
fof(cc28_valued_2, axiom,  (! [A, B] :  (v1_valued_2(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_1(C) =>  (v1_funct_1(C) & v7_valued_2(C)) ) ) ) ) ) ).
fof(cc29_valued_2, axiom,  (! [A, B] :  (v2_valued_2(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_1(C) =>  (v1_funct_1(C) & v8_valued_2(C)) ) ) ) ) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
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_valued_2, axiom,  (! [A] :  (v5_valued_2(A) => v4_valued_2(A)) ) ).
fof(cc30_valued_2, axiom,  (! [A, B] :  (v3_valued_2(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_1(C) =>  (v1_funct_1(C) & v9_valued_2(C)) ) ) ) ) ) ).
fof(cc31_valued_2, axiom,  (! [A, B] :  (v4_valued_2(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_1(C) =>  (v1_funct_1(C) & v10_valued_2(C)) ) ) ) ) ) ).
fof(cc32_valued_2, axiom,  (! [A, B] :  (v5_valued_2(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_1(C) =>  (v1_funct_1(C) & v11_valued_2(C)) ) ) ) ) ) ).
fof(cc33_valued_2, axiom,  (! [A, B] :  (v6_valued_2(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_1(C) =>  (v1_funct_1(C) & v12_valued_2(C)) ) ) ) ) ) ).
fof(cc34_valued_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v7_valued_2(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc35_valued_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v9_valued_2(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc36_valued_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v8_valued_2(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(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_valued_2, axiom,  (! [A] :  (v4_valued_2(A) => v3_valued_2(A)) ) ).
fof(cc3_xcmplx_0, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) => v1_xcmplx_0(A)) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(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_valued_2, axiom,  (! [A] :  (v3_valued_2(A) => v1_valued_2(A)) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc5_valued_2, axiom,  (! [A] :  (v3_valued_2(A) => v2_valued_2(A)) ) ).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc6_valued_2, axiom,  (! [A] :  (v1_xboole_0(A) => v6_valued_2(A)) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc7_valued_2, axiom,  (! [A] :  (v1_valued_2(A) => v4_funct_1(A)) ) ).
fof(cc8_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc8_valued_2, axiom,  (! [A] :  (v2_valued_2(A) => v4_funct_1(A)) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(cc9_valued_2, axiom,  (! [A] :  (v1_valued_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_valued_2(B)) ) ) ) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ) ).
fof(commutativity_k3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
fof(d11_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v10_algstr_0(B, A) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & k1_algstr_0(A, B, C)=k4_struct_0(A)) ) ) ) ) ) ) ).
fof(d18_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k6_algstr_0(A, B, C)=k4_binop_1(u1_struct_0(A), u2_algstr_0(A), B, C)) ) ) ) ) ) ).
fof(d1_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k1_algstr_0(A, B, C)=k4_binop_1(u1_struct_0(A), u1_algstr_0(A), B, C)) ) ) ) ) ) ).
fof(d1_binop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k1_binop_1(A, B, C)=k1_funct_1(A, k4_tarski(B, C))) ) ) ) ).
fof(d1_clvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xcmplx_0(C) => k1_clvect_1(A, B, C)=k1_funct_1(u1_clvect_1(A), k4_tarski(C, B))) ) ) ) ) ) ).
fof(d2_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) <=> r2_hidden(A, k2_numbers)) ) ).
fof(d4_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k4_cfuncdom(A)=k7_funcop_1(A, k5_numbers)) ) ).
fof(d5_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k5_cfuncdom(A)=k8_funcop_1(k2_numbers, A, k6_complex1)) ) ).
fof(d6_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => k4_struct_0(A)=u2_struct_0(A)) ) ).
fof(d7_struct_0, axiom,  (! [A] :  (l3_struct_0(A) => k5_struct_0(A)=u3_struct_0(A)) ) ).
fof(d8_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k8_cfuncdom(A)=g1_cfuncdom(k9_funct_2(A, k2_numbers), k2_cfuncdom(A), k1_cfuncdom(A), k3_cfuncdom(A), k5_cfuncdom(A), k4_cfuncdom(A))) ) ).
fof(dt_g1_cfuncdom, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) )  =>  (v1_cfuncdom(g1_cfuncdom(A, B, C, D, E, F)) & l1_cfuncdom(g1_cfuncdom(A, B, C, D, E, F))) ) ) ).
fof(dt_k1_algstr_0, axiom,  (! [A, B, C] :  ( (l1_algstr_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_algstr_0(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k1_binop_1, axiom, $true).
fof(dt_k1_cfuncdom, axiom,  (! [A] :  (v1_funct_1(k1_cfuncdom(A)) &  (v1_funct_2(k1_cfuncdom(A), k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers)) & m1_subset_1(k1_cfuncdom(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers))))) ) ) ).
fof(dt_k1_clvect_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_clvect_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xcmplx_0(C)) )  => m1_subset_1(k1_clvect_1(A, B, C), u1_struct_0(A))) ) ).
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_funcsdom, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k9_funct_2(A, B), k9_funct_2(A, B)), k9_funct_2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, B), k9_funct_2(A, B)), k9_funct_2(A, B))))) )  &  (m1_subset_1(D, k9_funct_2(A, B)) & m1_subset_1(E, k9_funct_2(A, B))) ) )  => m2_funct_2(k1_funcsdom(A, B, C, D, E), A, B, k9_funct_2(A, B))) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_funct_2, axiom, $true).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_cfuncdom, axiom,  (! [A] :  (v1_funct_1(k2_cfuncdom(A)) &  (v1_funct_2(k2_cfuncdom(A), k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers)) & m1_subset_1(k2_cfuncdom(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers))))) ) ) ).
fof(dt_k2_funcop_1, axiom, $true).
fof(dt_k2_funcsdom, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(C, D), k9_funct_2(A, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, D), k9_funct_2(A, B))))) )  & m1_subset_1(F, k2_zfmisc_1(C, D))) ) ) ) )  => m2_funct_2(k2_funcsdom(A, B, C, D, E, F), A, B, k9_funct_2(A, B))) ) ).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k3_cfuncdom(A)) &  (v1_funct_2(k3_cfuncdom(A), k2_zfmisc_1(k2_numbers, k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers)) & m1_subset_1(k3_cfuncdom(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers))))) ) ) ) ).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_binop_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) & m1_subset_1(D, A)) )  => m1_subset_1(k4_binop_1(A, B, C, D), A)) ) ).
fof(dt_k4_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m2_funct_2(k4_cfuncdom(A), A, k2_numbers, k9_funct_2(A, k2_numbers))) ) ).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(k4_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k5_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m2_funct_2(k5_cfuncdom(A), A, k2_numbers, k9_funct_2(A, k2_numbers))) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_struct_0, axiom,  (! [A] :  (l3_struct_0(A) => m1_subset_1(k5_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_k6_algstr_0, axiom,  (! [A, B, C] :  ( (l3_algstr_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k6_algstr_0(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k6_complex1, axiom, m1_subset_1(k6_complex1, k2_numbers)).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_funcop_1, axiom,  (! [A, B] :  (v1_funct_1(k7_funcop_1(A, B)) &  (v1_funct_2(k7_funcop_1(A, B), A, k1_tarski(B)) & m1_subset_1(k7_funcop_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_tarski(B))))) ) ) ).
fof(dt_k7_xcmplx_0, axiom, $true).
fof(dt_k8_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_cfuncdom(k8_cfuncdom(A)) & l1_cfuncdom(k8_cfuncdom(A))) ) ) ).
fof(dt_k8_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  =>  (v1_funct_1(k8_funcop_1(A, B, C)) &  (v1_funct_2(k8_funcop_1(A, B, C), B, A) & m1_subset_1(k8_funcop_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ).
fof(dt_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => m1_funct_2(k9_funct_2(A, B), A, B)) ) ).
fof(dt_l1_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) => l1_struct_0(A)) ) ).
fof(dt_l1_cfuncdom, axiom,  (! [A] :  (l1_cfuncdom(A) =>  (l6_algstr_0(A) & l1_clvect_1(A)) ) ) ).
fof(dt_l1_clvect_1, axiom,  (! [A] :  (l1_clvect_1(A) => l2_algstr_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l2_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (l2_struct_0(A) & l1_algstr_0(A)) ) ) ).
fof(dt_l2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_l3_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) => l1_struct_0(A)) ) ).
fof(dt_l3_struct_0, axiom,  (! [A] :  (l3_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_l4_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (l3_struct_0(A) & l3_algstr_0(A)) ) ) ).
fof(dt_l4_struct_0, axiom,  (! [A] :  (l4_struct_0(A) =>  (l2_struct_0(A) & l3_struct_0(A)) ) ) ).
fof(dt_l5_algstr_0, axiom,  (! [A] :  (l5_algstr_0(A) =>  (l4_algstr_0(A) & l4_struct_0(A)) ) ) ).
fof(dt_l6_algstr_0, axiom,  (! [A] :  (l6_algstr_0(A) =>  (l2_algstr_0(A) & l5_algstr_0(A)) ) ) ).
fof(dt_m1_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_funct_2(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (! [D] :  (m2_funct_2(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ).
fof(dt_u1_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v1_funct_1(u1_algstr_0(A)) &  (v1_funct_2(u1_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_algstr_0(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u1_clvect_1, axiom,  (! [A] :  (l1_clvect_1(A) =>  (v1_funct_1(u1_clvect_1(A)) &  (v1_funct_2(u1_clvect_1(A), k2_zfmisc_1(k2_numbers, u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_clvect_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(dt_u2_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v1_funct_1(u2_algstr_0(A)) &  (v1_funct_2(u2_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u2_algstr_0(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(u2_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_u3_struct_0, axiom,  (! [A] :  (l3_struct_0(A) => m1_subset_1(u3_struct_0(A), u1_struct_0(A))) ) ).
fof(existence_l1_algstr_0, axiom,  (? [A] : l1_algstr_0(A)) ).
fof(existence_l1_cfuncdom, axiom,  (? [A] : l1_cfuncdom(A)) ).
fof(existence_l1_clvect_1, axiom,  (? [A] : l1_clvect_1(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l2_algstr_0, axiom,  (? [A] : l2_algstr_0(A)) ).
fof(existence_l2_struct_0, axiom,  (? [A] : l2_struct_0(A)) ).
fof(existence_l3_algstr_0, axiom,  (? [A] : l3_algstr_0(A)) ).
fof(existence_l3_struct_0, axiom,  (? [A] : l3_struct_0(A)) ).
fof(existence_l4_algstr_0, axiom,  (? [A] : l4_algstr_0(A)) ).
fof(existence_l4_struct_0, axiom,  (? [A] : l4_struct_0(A)) ).
fof(existence_l5_algstr_0, axiom,  (? [A] : l5_algstr_0(A)) ).
fof(existence_l6_algstr_0, axiom,  (? [A] : l6_algstr_0(A)) ).
fof(existence_m1_funct_2, axiom,  (! [A, B] :  (? [C] : m1_funct_2(C, A, B)) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (? [D] : m2_funct_2(D, A, B, C)) ) ) ).
fof(fc10_membered, axiom,  (! [A] :  (v1_rat_1(A) => v4_membered(k1_tarski(A))) ) ).
fof(fc11_membered, axiom,  (! [A] :  (v1_int_1(A) => v5_membered(k1_tarski(A))) ) ).
fof(fc12_membered, axiom,  (! [A] :  (v7_ordinal1(A) => v6_membered(k1_tarski(A))) ) ).
fof(fc14_valued_2, axiom,  (! [A, B, C, D] :  ( (v1_valued_2(C) &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (v1_relat_1(k1_funct_1(D, B)) & v1_funct_1(k1_funct_1(D, B))) ) ) ).
fof(fc15_valued_2, axiom,  (! [A, B, C, D] :  ( (v2_valued_2(C) &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  =>  (v1_relat_1(k1_funct_1(D, B)) & v1_funct_1(k1_funct_1(D, B))) ) ) ).
fof(fc16_valued_2, axiom,  (! [A, B, C, D] :  ( (v1_valued_2(C) &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  => v1_valued_0(k1_funct_1(D, B))) ) ).
fof(fc17_valued_2, axiom,  (! [A, B, C, D] :  ( (v2_valued_2(C) &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  => v2_valued_0(k1_funct_1(D, B))) ) ).
fof(fc18_valued_2, axiom,  (! [A, B, C, D] :  ( (v3_valued_2(C) &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  => v3_valued_0(k1_funct_1(D, B))) ) ).
fof(fc19_valued_2, axiom,  (! [A, B, C, D] :  ( (v4_valued_2(C) &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  => v5_relat_1(k1_funct_1(D, B), k3_numbers)) ) ).
fof(fc1_cfuncdom, axiom,  (! [A] :  (v1_funct_1(k1_cfuncdom(A)) &  (v1_funct_2(k1_cfuncdom(A), k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers)) & v7_valued_2(k1_cfuncdom(A))) ) ) ).
fof(fc1_membered, axiom, v1_membered(k2_numbers)).
fof(fc1_valued_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => v1_valued_2(k1_tarski(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc20_valued_2, axiom,  (! [A, B, C, D] :  ( (v5_valued_2(C) &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  => v5_relat_1(k1_funct_1(D, B), k4_numbers)) ) ).
fof(fc21_valued_2, axiom,  (! [A, B, C, D] :  ( (v6_valued_2(C) &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  => v6_valued_0(k1_funct_1(D, B))) ) ).
fof(fc28_valued_2, axiom,  (! [A, B] :  (v1_membered(B) => v1_valued_2(k1_funct_2(A, B))) ) ).
fof(fc29_valued_2, axiom,  (! [A, B] :  (v2_membered(B) => v2_valued_2(k1_funct_2(A, B))) ) ).
fof(fc2_cfuncdom, axiom,  (! [A] :  (v1_funct_1(k2_cfuncdom(A)) &  (v1_funct_2(k2_cfuncdom(A), k2_zfmisc_1(k9_funct_2(A, k2_numbers), k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers)) & v7_valued_2(k2_cfuncdom(A))) ) ) ).
fof(fc2_numbers, axiom,  ~ (v1_xboole_0(k2_numbers)) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(fc30_valued_2, axiom,  (! [A, B] :  (v3_membered(B) => v3_valued_2(k1_funct_2(A, B))) ) ).
fof(fc31_valued_2, axiom,  (! [A, B] :  (v4_membered(B) => v4_valued_2(k1_funct_2(A, B))) ) ).
fof(fc32_valued_2, axiom,  (! [A, B] :  (v5_membered(B) => v5_valued_2(k1_funct_2(A, B))) ) ).
fof(fc33_valued_2, axiom,  (! [A, B] :  (v6_membered(B) => v6_valued_2(k1_funct_2(A, B))) ) ).
fof(fc3_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k3_cfuncdom(A)) &  (v1_funct_2(k3_cfuncdom(A), k2_zfmisc_1(k2_numbers, k9_funct_2(A, k2_numbers)), k9_funct_2(A, k2_numbers)) & v7_valued_2(k3_cfuncdom(A))) ) ) ) ).
fof(fc3_numbers, axiom,  ~ (v1_xboole_0(k3_numbers)) ).
fof(fc3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k3_xcmplx_0(A, B))) ) ).
fof(fc40_valued_2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v7_valued_2(A)) )  =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ).
fof(fc41_valued_2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v8_valued_2(A)) )  =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ).
fof(fc42_valued_2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v7_valued_2(A)) )  => v1_valued_0(k1_funct_1(A, B))) ) ).
fof(fc43_valued_2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v8_valued_2(A)) )  => v2_valued_0(k1_funct_1(A, B))) ) ).
fof(fc44_valued_2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v9_valued_2(A)) )  => v3_valued_0(k1_funct_1(A, B))) ) ).
fof(fc45_valued_2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v10_valued_2(A)) )  => v5_relat_1(k1_funct_1(A, B), k3_numbers)) ) ).
fof(fc46_valued_2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v11_valued_2(A)) )  => v5_relat_1(k1_funct_1(A, B), k4_numbers)) ) ).
fof(fc47_valued_2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v12_valued_2(A)) )  => v6_valued_0(k1_funct_1(A, B))) ) ).
fof(fc48_valued_2, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v9_valued_2(A)) )  =>  (v1_relat_1(k1_binop_1(A, B, C)) &  (v1_funct_1(k1_binop_1(A, B, C)) & v3_valued_0(k1_binop_1(A, B, C))) ) ) ) ).
fof(fc4_membered, axiom, v4_membered(k3_numbers)).
fof(fc4_numbers, axiom,  ~ (v1_xboole_0(k4_numbers)) ).
fof(fc4_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k6_xcmplx_0(A, B))) ) ).
fof(fc55_membered, axiom, v7_membered(k2_numbers)).
fof(fc57_membered, axiom, v7_membered(k3_numbers)).
fof(fc58_membered, axiom, v7_membered(k4_numbers)).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc5_membered, axiom, v5_membered(k4_numbers)).
fof(fc5_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k7_xcmplx_0(A, B))) ) ).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(fc6_numbers, axiom,  ~ (v1_finset_1(k4_numbers)) ).
fof(fc7_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k8_cfuncdom(A)))  & v1_cfuncdom(k8_cfuncdom(A))) ) ) ).
fof(fc7_membered, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_membered(k1_tarski(A))) ) ).
fof(fc7_numbers, axiom,  ~ (v1_finset_1(k3_numbers)) ).
fof(fc8_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_group_1(k8_cfuncdom(A)) & v1_cfuncdom(k8_cfuncdom(A))) ) ) ).
fof(fc8_membered, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_membered(k1_tarski(A))) ) ).
fof(fc9_membered, axiom,  (! [A] :  (v1_xreal_0(A) => v3_membered(k1_tarski(A))) ) ).
fof(fc9_numbers, axiom,  ~ (v1_finset_1(k2_numbers)) ).
fof(free_g1_cfuncdom, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k2_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, A), A)))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) )  =>  (! [G, H, I, J, K, L] :  (g1_cfuncdom(A, B, C, D, E, F)=g1_cfuncdom(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(l21_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [D] :  (v1_xcmplx_0(D) => k1_binop_1(k1_cfuncdom(A), k1_funct_1(k3_cfuncdom(A), k4_tarski(D, B)), k1_funct_1(k3_cfuncdom(A), k4_tarski(D, C)))=k1_funct_1(k3_cfuncdom(A), k4_tarski(D, k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), B, C)))) ) ) ) ) ) ) ) ).
fof(rc1_cfuncdom, axiom,  (? [A] :  (l1_cfuncdom(A) & v1_cfuncdom(A)) ) ).
fof(rc1_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(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_valued_2, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_valued_2(A)) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc2_cfuncdom, axiom,  (? [A] :  (l1_cfuncdom(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(rc2_clvect_1, axiom,  (? [A] :  (l1_clvect_1(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(rc2_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc2_valued_2, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v12_valued_2(A)) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc3_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(A)) ) ) ).
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_funcsdom, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k9_funct_2(A, B), k9_funct_2(A, B)), k9_funct_2(A, B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, B), k9_funct_2(A, B)), k9_funct_2(A, B))))) )  &  (m1_subset_1(D, k9_funct_2(A, B)) & m1_subset_1(E, k9_funct_2(A, B))) ) )  => k1_funcsdom(A, B, C, D, E)=k1_binop_1(C, D, E)) ) ).
fof(redefinition_k2_funcsdom, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(C, D), k9_funct_2(A, B)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(C, D), k9_funct_2(A, B))))) )  & m1_subset_1(F, k2_zfmisc_1(C, D))) ) ) ) )  => k2_funcsdom(A, B, C, D, E, F)=k1_funct_1(E, F)) ) ).
fof(redefinition_k4_binop_1, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  (m1_subset_1(C, A) & m1_subset_1(D, A)) )  => k4_binop_1(A, B, C, D)=k1_binop_1(B, C, D)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k7_funcop_1, axiom,  (! [A, B] : k7_funcop_1(A, B)=k2_funcop_1(A, B)) ).
fof(redefinition_k8_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => k8_funcop_1(A, B, C)=k2_funcop_1(B, C)) ) ).
fof(redefinition_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k9_funct_2(A, B)=k1_funct_2(A, B)) ) ).
fof(redefinition_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (! [D] :  (m2_funct_2(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(redefinition_r2_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (r2_funct_2(A, B, C, D) <=> C=D) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r2_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => r2_funct_2(A, B, C, C)) ) ).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom, k2_xcmplx_0(0, 2)=2).
fof(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom, k2_xcmplx_0(0, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom, k2_xcmplx_0(0, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2, axiom, k2_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(1, k4_xcmplx_0(1))=0).
fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom, k2_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(1))=1).
fof(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom, k2_xcmplx_0(2, k4_xcmplx_0(2))=0).
fof(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 1)=0).
fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 2)=1).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r0_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 2)=0).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), 0)=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=1).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r0_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, k6_xcmplx_0(0, k4_xcmplx_0(2))=2).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 0)=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2, axiom, k7_xcmplx_0(1, 2)=k7_xcmplx_0(1, 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1, axiom, k7_xcmplx_0(1, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2, axiom, k7_xcmplx_0(1, k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 2))=2).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(2)).
fof(rqRealDiv__k7_xcmplx_0__r2_r1_r2, axiom, k7_xcmplx_0(2, 1)=2).
fof(rqRealDiv__k7_xcmplx_0__r2_r2_r1, axiom, k7_xcmplx_0(2, 2)=1).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 2)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(2), 2)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom, k3_xcmplx_0(0, 2)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(2))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d2_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 2))=0).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom, k3_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(2, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d2_r1, axiom, k3_xcmplx_0(2, k7_xcmplx_0(1, 2))=1).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 2)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(2))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(spc0_boole, axiom, v1_xboole_0(0)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, k4_xcmplx_0(B))=k6_xcmplx_0(A, B)) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
fof(spc2_boole, axiom,  ~ (v1_xboole_0(2)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc4_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(A, k7_xcmplx_0(B, C))=k7_xcmplx_0(k3_xcmplx_0(A, B), C)) ) ).
fof(spc5_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))) ) ).
fof(spc6_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(B, C))) ) ).
fof(spc7_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k3_xcmplx_0(B, C))) ) ).
fof(spc8_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(spc9_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k6_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k6_xcmplx_0(B, A)) ) ).
fof(symmetry_r2_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (r2_funct_2(A, B, C, D) => r2_funct_2(A, B, D, C)) ) ) ).
fof(t10_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), k4_cfuncdom(A), B), B)) ) ) ) ).
fof(t11_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) => k1_binop_1(k1_cfuncdom(A), B, k1_funct_1(k3_cfuncdom(A), k4_tarski(k4_xcmplx_0(k6_complex1), B)))=k4_cfuncdom(A)) ) ) ) ).
fof(t13_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k1_funct_1(k3_cfuncdom(A), k4_tarski(C, k1_funct_1(k3_cfuncdom(A), k4_tarski(D, B))))=k1_funct_1(k3_cfuncdom(A), k4_tarski(k3_xcmplx_0(C, D), B))) ) ) ) ) ) ) ) ).
fof(t14_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (v1_xcmplx_0(C) =>  (! [D] :  (v1_xcmplx_0(D) => k1_binop_1(k1_cfuncdom(A), k1_funct_1(k3_cfuncdom(A), k4_tarski(C, B)), k1_funct_1(k3_cfuncdom(A), k4_tarski(D, B)))=k1_funct_1(k3_cfuncdom(A), k4_tarski(k2_xcmplx_0(C, D), B))) ) ) ) ) ) ) ) ).
fof(t15_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), B, k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), C, D)), k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), B, C), k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), B, D)))) ) ) ) ) ) ) ) ).
fof(t16_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [D] :  (v1_xcmplx_0(D) => k1_binop_1(k2_cfuncdom(A), k1_funct_1(k3_cfuncdom(A), k4_tarski(D, B)), C)=k1_funct_1(k3_cfuncdom(A), k4_tarski(D, k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), B, C)))) ) ) ) ) ) ) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k6_xcmplx_0(A, k5_numbers)=A) ) ).
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(t5_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(k5_numbers, A)=k5_numbers) ) ).
fof(t5_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), B, C), k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), C, B))) ) ) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(A, 1)=A) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t6_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), B, k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), C, D)), k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), k1_funcsdom(A, k2_numbers, k1_cfuncdom(A), B, C), D))) ) ) ) ) ) ) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), B, C), k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), C, B))) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [C] :  (m2_funct_2(C, A, k2_numbers, k9_funct_2(A, k2_numbers)) =>  (! [D] :  (m2_funct_2(D, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), B, k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), C, D)), k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), B, C), D))) ) ) ) ) ) ) ) ).
fof(t9_cfuncdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_funct_2(B, A, k2_numbers, k9_funct_2(A, k2_numbers)) => r2_funct_2(A, k2_numbers, k1_funcsdom(A, k2_numbers, k2_cfuncdom(A), k5_cfuncdom(A), B), B)) ) ) ) ).
