% Mizar problem: t3_mesfun17,mesfun17,159,5 
fof(t3_mesfun17, conjecture,  (! [A] :  ( (v1_funct_1(A) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k9_prvect_3(k9_prvect_3(k3_dualsp02, k3_dualsp02), k3_dualsp02)), u1_struct_0(k3_dualsp02)))))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers), k1_numbers))))  =>  (! [C] :  ( (A=B & r1_tarski(C, k1_relset_1(u1_struct_0(k9_prvect_3(k9_prvect_3(k3_dualsp02, k3_dualsp02), k3_dualsp02)), A)))  =>  (r1_nfcont_2(C, k9_prvect_3(k9_prvect_3(k3_dualsp02, k3_dualsp02), k3_dualsp02), k3_dualsp02, A) <=>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(D, k5_numbers))  &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  (! [G] :  (v1_xreal_0(G) =>  (! [H] :  (v1_xreal_0(H) =>  (! [I] :  (v1_xreal_0(I) =>  (! [J] :  (v1_xreal_0(J) =>  (! [K] :  (v1_xreal_0(K) =>  ~ ( (r2_hidden(k3_xtuple_0(F, H, J), C) &  (r2_hidden(k3_xtuple_0(G, I, K), C) &  ( ~ (r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(G, F))))  &  ( ~ (r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(I, H))))  &  ( ~ (r1_xxreal_0(E, k9_complex1(k6_xcmplx_0(K, J))))  & r1_xxreal_0(D, k9_complex1(k6_xcmplx_0(k1_funct_1(B, k3_xtuple_0(G, I, K)), k1_funct_1(B, k3_xtuple_0(F, H, J)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_normsp_1, axiom,  (! [A] :  (l1_normsp_1(A) =>  (v1_normsp_1(A) => A=g1_normsp_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_rlvect_1(A), u1_normsp_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_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
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_topgen_4, axiom,  (! [A] :  (v1_xboole_0(A) => v4_card_3(A)) ) ).
fof(cc10_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_valued_0(B)) ) ) ) ).
fof(cc10_xxreal_2, axiom,  (! [A] :  ( (v3_membered(A) & v1_xxreal_2(A))  =>  (v3_membered(A) & v3_xxreal_2(A)) ) ) ).
fof(cc11_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_valued_0(B)) ) ) ) ).
fof(cc11_xxreal_2, axiom,  (! [A] :  ( (v3_membered(A) & v2_xxreal_2(A))  =>  (v3_membered(A) & v4_xxreal_2(A)) ) ) ).
fof(cc12_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc12_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_valued_0(B)) ) ) ) ).
fof(cc12_xxreal_2, axiom,  (! [A] :  ( (v5_membered(A) & v5_xxreal_2(A))  =>  (v5_membered(A) & v1_finset_1(A)) ) ) ).
fof(cc13_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_membered(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc13_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_valued_0(B)) ) ) ) ).
fof(cc13_xxreal_2, axiom,  (! [A] :  ( (v6_membered(A) & v4_xxreal_2(A))  =>  (v6_membered(A) &  (v1_finset_1(A) & v4_xxreal_2(A)) ) ) ) ).
fof(cc14_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_membered(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc14_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_valued_0(B)) ) ) ) ).
fof(cc14_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v5_xxreal_2(A))  =>  (v2_membered(A) & v3_membered(A)) ) ) ).
fof(cc15_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_membered(B)) ) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc15_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_valued_0(B)) ) ) ) ).
fof(cc15_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v1_xboole_0(A))  =>  (v2_membered(A) & v6_xxreal_2(A)) ) ) ).
fof(cc16_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k3_finseq_2(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc16_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_membered(B)) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc16_valued_0, axiom,  (! [A, B] :  (v1_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_valued_0(C)) ) ) ) ).
fof(cc16_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v1_xxreal_2(A))  =>  (v2_membered(A) &  ~ (v1_xboole_0(A)) ) ) ) ).
fof(cc17_fomodel0, axiom,  (! [A] :  (v1_setfam_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  ~ (v1_xboole_0(B)) ) )  =>  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(cc17_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_membered(B)) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc17_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc17_valued_0, axiom,  (! [A, B] :  (v2_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v2_valued_0(C)) ) ) ) ).
fof(cc17_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v2_xxreal_2(A))  =>  (v2_membered(A) &  ~ (v1_xboole_0(A)) ) ) ) ).
fof(cc18_fomodel0, axiom,  (! [A] :  (v1_setfam_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_setfam_1(B)) ) ) ) ).
fof(cc18_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_membered(B)) ) ) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc18_valued_0, axiom,  (! [A, B] :  (v3_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v3_valued_0(C)) ) ) ) ).
fof(cc19_fomodel0, axiom,  (! [A] :  ( (v1_int_1(A) & v2_xxreal_0(A))  =>  (v7_ordinal1(A) & v1_int_1(A)) ) ) ).
fof(cc19_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc19_valued_0, axiom,  (! [A, B] :  (v4_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v4_valued_0(C)) ) ) ) ).
fof(cc1_fcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v3_funct_1(A))  =>  (v1_funct_1(A) & v1_fcont_1(A)) ) ) ) ).
fof(cc1_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v2_setfam_1(A)) ) ).
fof(cc1_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_partfun1(C, A) => v1_funct_2(C, A, B)) ) ) ) ).
fof(cc1_measure5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_measure5(A) => v6_xxreal_2(A)) ) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_rat_1, axiom,  (! [A] :  (v1_rat_1(A) => v1_xreal_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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc1_xreal_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xreal_0(A)) ) ).
fof(cc1_xxreal_3, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  ~ (v1_xreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc20_valued_0, axiom,  (! [A, B] :  (v5_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v5_valued_0(C)) ) ) ) ).
fof(cc21_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v1_xtuple_0(B)) ) ) ) ).
fof(cc21_valued_0, axiom,  (! [A, B] :  (v6_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v6_valued_0(C)) ) ) ) ).
fof(cc22_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_zfmisc_1(A) & v2_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) &  (v7_valued_0(A) & v8_valued_0(A)) ) ) ) ) ) ).
fof(cc23_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) ) ) ) ).
fof(cc24_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) ) ) ) ).
fof(cc25_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v2_abian(A)) ) ) ) ) ).
fof(cc26_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v5_fomodel0(A)) ) ).
fof(cc27_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v5_fomodel0(A)) ) ) ) ).
fof(cc28_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_fomodel0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc28_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k2_numbers))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc29_fomodel0, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc29_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
fof(cc2_fcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v1_xboole_0(A))  =>  (v1_funct_1(A) & v1_fcont_1(A)) ) ) ) ).
fof(cc2_fomodel0, axiom,  (! [A] :  (v2_setfam_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_setfam_1(B)) ) ) ) ).
fof(cc2_funct_2, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_rat_1, axiom,  (! [A] :  (v1_int_1(A) => v1_rat_1(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_topgen_4, axiom,  (! [A] :  ( ~ (v4_card_3(A))  =>  ~ (v1_finset_1(A)) ) ) ).
fof(cc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc2_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) &  (v1_finset_1(A) &  ~ (v1_xboole_0(A)) ) )  =>  (v2_membered(A) &  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_2(A) & v2_xxreal_2(A)) ) ) ) ) ).
fof(cc2_xxreal_3, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v1_xreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ) ).
fof(cc30_fomodel0, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v3_funct_1(B)) ) ) ) ) ) ).
fof(cc30_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k6_numbers))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc31_fomodel0, axiom,  (! [A] :  (v5_fomodel0(A) => v1_funct_1(A)) ) ).
fof(cc31_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k6_numbers)) ) ) ).
fof(cc32_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_numbers))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc33_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc34_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc35_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc36_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc37_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) ) ) ).
fof(cc38_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc39_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1)) ) ) ).
fof(cc3_fcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v1_xboole_0(A))  =>  (v1_funct_1(A) & v2_fcont_1(A)) ) ) ) ).
fof(cc3_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
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_topgen_4, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(cc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc3_xxreal_2, axiom,  (! [A] :  ( (v6_membered(A) &  ~ (v1_xboole_0(A)) )  =>  (v6_membered(A) &  ( ~ (v1_xboole_0(A))  & v1_xxreal_2(A)) ) ) ) ).
fof(cc40_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k2_numbers)) ) ) ) ) ).
fof(cc41_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_valued_0(B)) ) ) ) ) ).
fof(cc42_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k6_numbers)) ) ) ) ) ).
fof(cc43_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v2_valued_0(B)) ) ) ) ) ).
fof(cc44_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k1_numbers)) ) ) ) ) ).
fof(cc45_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v3_valued_0(B)) ) ) ) ) ).
fof(cc46_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k3_numbers)) ) ) ) ) ).
fof(cc47_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v4_valued_0(B)) ) ) ) ) ).
fof(cc48_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_numbers)) ) ) ) ) ).
fof(cc49_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_valued_0(B)) ) ) ) ) ).
fof(cc4_fcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v3_funct_1(A))  =>  (v1_funct_1(A) & v2_fcont_1(A)) ) ) ) ).
fof(cc4_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( (v1_relat_1(C) & v5_relat_1(C, B))  =>  (v1_relat_1(C) & v5_relat_1(C, A)) ) ) ) ) ).
fof(cc4_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_funct_2(B, A, A) => v1_partfun1(B, A)) ) ) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc4_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v5_xxreal_2(A))  =>  (v2_membered(A) &  (v3_xxreal_2(A) & v4_xxreal_2(A)) ) ) ) ).
fof(cc50_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_ordinal1)) ) ) ) ) ).
fof(cc51_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v6_valued_0(B)) ) ) ) ) ).
fof(cc5_fcont_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) =>  ( (v1_funct_1(A) & v2_fcont_1(A))  =>  (v1_funct_1(A) & v1_fcont_1(A)) ) ) ) ).
fof(cc5_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc5_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) =>  (v1_funct_2(B, k2_zfmisc_1(A, A), A) => v1_partfun1(B, k2_zfmisc_1(A, A))) ) ) ) ).
fof(cc5_measure5, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_xboole_0(A) => v1_measure5(A)) ) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc5_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) &  (v3_xxreal_2(A) & v4_xxreal_2(A)) )  =>  (v2_membered(A) & v5_xxreal_2(A)) ) ) ).
fof(cc6_fomodel0, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_finseq_2(A)) => v5_relat_1(B, A)) ) ) ).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc6_xxreal_2, axiom,  (! [A] :  ( (v3_membered(A) & v1_finset_1(A))  =>  (v3_membered(A) & v5_xxreal_2(A)) ) ) ).
fof(cc7_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_tarski(k1_xboole_0)))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc7_xxreal_2, axiom,  (! [A] :  ( (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v4_xxreal_2(A)) )  =>  (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v2_xxreal_2(A)) ) ) ) ).
fof(cc8_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_relat_1(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_tarski(k1_xboole_0))) ) ) ).
fof(cc8_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
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(cc8_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc8_xxreal_2, axiom,  (! [A] :  ( (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v3_xxreal_2(A)) )  =>  (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v1_xxreal_2(A)) ) ) ) ).
fof(cc9_fomodel0, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v3_xxreal_0(A)) )  =>  (v7_ordinal1(A) & v1_int_1(A)) ) ) ).
fof(cc9_funct_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (! [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_xboole_0(C))  & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc9_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, k5_ordinal1) => v2_struct_0(A)) ) ) ).
fof(cc9_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc9_xxreal_2, axiom,  (! [A] :  (v6_membered(A) =>  (v6_membered(A) & v3_xxreal_2(A)) ) ) ).
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_rlvect_1, axiom,  (! [A, B, C] :  ( ( (v2_rlvect_1(A) & l1_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k3_rlvect_1(A, B, C)=k3_rlvect_1(A, C, B)) ) ).
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(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(d14_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => k5_algstr_0(A, B, C)=k1_algstr_0(A, B, k4_algstr_0(A, 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_nfcont_2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), u1_struct_0(C)))))  =>  (r1_nfcont_2(A, B, C, D) <=>  (r1_tarski(A, k1_relset_1(u1_struct_0(B), D)) &  (! [E] :  (v1_xreal_0(E) =>  ~ ( ( ~ (r1_xxreal_0(E, k5_numbers))  &  (! [F] :  (v1_xreal_0(F) =>  ~ ( ( ~ (r1_xxreal_0(F, k5_numbers))  &  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(B)) =>  ~ ( (r2_tarski(G, A) &  (r2_tarski(H, A) &  ( ~ (r1_xxreal_0(F, k2_normsp_0(B, k5_algstr_0(B, G, H))))  & r1_xxreal_0(E, k2_normsp_0(C, k5_algstr_0(C, k7_partfun1(u1_struct_0(C), D, G), k7_partfun1(u1_struct_0(C), D, H))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_normsp_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_normsp_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k2_normsp_0(A, B)=k3_funct_2(u1_struct_0(A), k1_numbers, u1_normsp_0(A), B)) ) ) ) ).
fof(d1_square_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k1_square_1(A)=k3_xcmplx_0(A, A)) ) ).
fof(d1_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) <=> r2_hidden(A, k1_numbers)) ) ).
fof(d2_euclid, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k1_numbers, k1_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) )  =>  (A=k2_euclid <=>  (! [B] :  (v1_xreal_0(B) => k1_funct_1(A, B)=k9_complex1(B)) ) ) ) ) ).
fof(d3_dualsp02, axiom, k3_dualsp02=g1_normsp_1(k1_numbers, k10_subset_1(k5_numbers, k1_numbers), k9_binop_2, k11_binop_2, k2_euclid)).
fof(d3_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l2_algstr_0(B))  => k3_prvect_3(A, B)=k1_domain_1(u1_struct_0(A), u1_struct_0(B), k4_struct_0(A), k4_struct_0(B))) ) ) ) ).
fof(d3_prvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  & l1_normsp_1(C))  => k6_prvect_4(A, B, C)=k9_prvect_3(k9_prvect_3(A, B), C)) ) ) ) ) ) ).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d4_xtuple_0, axiom,  (! [A] :  (! [B] :  (! [C] : k3_xtuple_0(A, B, C)=k4_tarski(k4_tarski(A, B), C)) ) ) ).
fof(d6_partfun1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => k7_partfun1(A, B, C)=k1_funct_1(B, C)) ) ) ) ) ).
fof(d7_prvect_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  => k9_prvect_3(A, B)=g1_normsp_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k3_prvect_3(A, B), k1_prvect_3(A, B), k2_prvect_3(A, B), k8_prvect_3(A, B))) ) ) ) ).
fof(dt_g1_normsp_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, 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(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (v1_normsp_1(g1_normsp_1(A, B, C, D, E)) & l1_normsp_1(g1_normsp_1(A, B, C, D, E))) ) ) ).
fof(dt_k10_subset_1, axiom,  (! [A, B] : m1_subset_1(k10_subset_1(A, B), B)) ).
fof(dt_k11_binop_2, axiom,  (v1_funct_1(k11_binop_2) &  (v1_funct_2(k11_binop_2, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(k11_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) ) ).
fof(dt_k11_finseq_1, axiom, $true).
fof(dt_k12_euclid, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  => v1_xreal_0(k12_euclid(A))) ) ).
fof(dt_k13_finseq_1, axiom, $true).
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_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_euclid, axiom,  (! [A] :  (v7_ordinal1(A) => m1_finseq_2(k1_euclid(A), k1_numbers)) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k1_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l2_algstr_0(B)) )  =>  (v1_funct_1(k1_prvect_3(A, B)) &  (v1_funct_2(k1_prvect_3(A, B), k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) & m1_subset_1(k1_prvect_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))) ) ) ) ).
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_rlvect_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => m1_subset_1(k1_rlvect_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k1_square_1, 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_euclid, axiom,  (v1_funct_1(k2_euclid) &  (v1_funct_2(k2_euclid, k1_numbers, k1_numbers) & m1_subset_1(k2_euclid, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers)))) ) ).
fof(dt_k2_normsp_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_0(A))  & m1_subset_1(B, u1_struct_0(A)))  => v1_xreal_0(k2_normsp_0(A, B))) ) ).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  ( ~ (v2_struct_0(B))  & l1_rlvect_1(B)) )  =>  (v1_funct_1(k2_prvect_3(A, B)) &  (v1_funct_2(k2_prvect_3(A, B), k2_zfmisc_1(k1_numbers, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))) & m1_subset_1(k2_prvect_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B))), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))))) ) ) ) ).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_dualsp02, axiom,  ( ~ (v2_struct_0(k3_dualsp02))  &  (v13_algstr_0(k3_dualsp02) &  (v2_rlvect_1(k3_dualsp02) &  (v3_rlvect_1(k3_dualsp02) &  (v4_rlvect_1(k3_dualsp02) &  (v5_rlvect_1(k3_dualsp02) &  (v6_rlvect_1(k3_dualsp02) &  (v7_rlvect_1(k3_dualsp02) &  (v8_rlvect_1(k3_dualsp02) &  (v3_normsp_0(k3_dualsp02) &  (v4_normsp_0(k3_dualsp02) &  (v2_normsp_1(k3_dualsp02) & l1_normsp_1(k3_dualsp02)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k3_finseq_2, axiom,  (! [A] : m1_finseq_2(k3_finseq_2(A), A)) ).
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_numbers, axiom, $true).
fof(dt_k3_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  &  ( ~ (v2_struct_0(B))  & l2_algstr_0(B)) )  => m1_subset_1(k3_prvect_3(A, B), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) ) ).
fof(dt_k3_rlvect_1, axiom,  (! [A, B, C] :  ( ( (v2_rlvect_1(A) & l1_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_rlvect_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k3_square_1, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xreal_0(k3_square_1(A))) ) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k3_xtuple_0, axiom, $true).
fof(dt_k4_algstr_0, axiom,  (! [A, B] :  ( (l2_algstr_0(A) & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k4_algstr_0(A, B), u1_struct_0(A))) ) ).
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_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_algstr_0, axiom,  (! [A, B, C] :  ( (l2_algstr_0(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k5_algstr_0(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k6_numbers, axiom, $true).
fof(dt_k6_prvect_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  &  ( ~ (v2_struct_0(C))  & l1_normsp_1(C)) ) )  =>  ( ~ (v2_struct_0(k6_prvect_4(A, B, C)))  &  (v1_normsp_1(k6_prvect_4(A, B, C)) & l1_normsp_1(k6_prvect_4(A, B, C))) ) ) ) ).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_partfun1, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  => m1_subset_1(k7_partfun1(A, B, C), A)) ) ).
fof(dt_k7_prvect_4, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  &  ( ( ~ (v2_struct_0(C))  & l1_normsp_1(C))  &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(C))) ) ) ) )  => m1_subset_1(k7_prvect_4(A, B, C, D, E, F), u1_struct_0(k6_prvect_4(A, B, C)))) ) ).
fof(dt_k7_xcmplx_0, axiom, $true).
fof(dt_k8_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  &  ( ~ (v2_struct_0(B))  & l1_normsp_1(B)) )  =>  (v1_funct_1(k8_prvect_3(A, B)) &  (v1_funct_2(k8_prvect_3(A, B), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers) & m1_subset_1(k8_prvect_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)), k1_numbers)))) ) ) ) ).
fof(dt_k9_binop_2, axiom,  (v1_funct_1(k9_binop_2) &  (v1_funct_2(k9_binop_2, k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers) & m1_subset_1(k9_binop_2, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers), k1_numbers)))) ) ).
fof(dt_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xreal_0(k9_complex1(A))) ) ).
fof(dt_k9_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  &  ( ~ (v2_struct_0(B))  & l1_normsp_1(B)) )  =>  ( ~ (v2_struct_0(k9_prvect_3(A, B)))  &  (v1_normsp_1(k9_prvect_3(A, B)) & l1_normsp_1(k9_prvect_3(A, B))) ) ) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_l1_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) => l1_struct_0(A)) ) ).
fof(dt_l1_normsp_0, axiom,  (! [A] :  (l1_normsp_0(A) => l1_struct_0(A)) ) ).
fof(dt_l1_normsp_1, axiom,  (! [A] :  (l1_normsp_1(A) =>  (l1_rlvect_1(A) & l2_normsp_0(A)) ) ) ).
fof(dt_l1_rlvect_1, axiom,  (! [A] :  (l1_rlvect_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_normsp_0, axiom,  (! [A] :  (l2_normsp_0(A) =>  (l1_normsp_0(A) & l2_struct_0(A)) ) ) ).
fof(dt_l2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_m1_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(dt_m1_finseq_2, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (v1_funct_1(B) &  (v1_finseq_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ) ).
fof(dt_m2_finseq_2, axiom,  (! [A, B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_2(C, A, B) => m2_finseq_1(C, A)) ) ) ) ).
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_normsp_0, axiom,  (! [A] :  (l1_normsp_0(A) =>  (v1_funct_1(u1_normsp_0(A)) &  (v1_funct_2(u1_normsp_0(A), u1_struct_0(A), k1_numbers) & m1_subset_1(u1_normsp_0(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ).
fof(dt_u1_rlvect_1, axiom,  (! [A] :  (l1_rlvect_1(A) =>  (v1_funct_1(u1_rlvect_1(A)) &  (v1_funct_2(u1_rlvect_1(A), k2_zfmisc_1(k1_numbers, u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_rlvect_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(dt_u2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(u2_struct_0(A), u1_struct_0(A))) ) ).
fof(existence_l1_algstr_0, axiom,  (? [A] : l1_algstr_0(A)) ).
fof(existence_l1_normsp_0, axiom,  (? [A] : l1_normsp_0(A)) ).
fof(existence_l1_normsp_1, axiom,  (? [A] : l1_normsp_1(A)) ).
fof(existence_l1_rlvect_1, axiom,  (? [A] : l1_rlvect_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_normsp_0, axiom,  (? [A] : l2_normsp_0(A)) ).
fof(existence_l2_struct_0, axiom,  (? [A] : l2_struct_0(A)) ).
fof(existence_m1_finseq_1, axiom,  (! [A] :  (? [B] : m1_finseq_1(B, A)) ) ).
fof(existence_m1_finseq_2, axiom,  (! [A] :  (? [B] : m1_finseq_2(B, A)) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m2_finseq_1, axiom,  (! [A] :  (? [B] : m2_finseq_1(B, A)) ) ).
fof(existence_m2_finseq_2, axiom,  (! [A, B] :  (m1_finseq_2(B, A) =>  (? [C] : m2_finseq_2(C, A, B)) ) ) ).
fof(fc10_membered, axiom,  (! [A] :  (v1_rat_1(A) => v4_membered(k1_tarski(A))) ) ).
fof(fc10_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
fof(fc10_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => v9_struct_0(k4_struct_0(A), A)) ) ).
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_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fc119_fomodel0, axiom,  (! [A, B] : v5_relat_1(k2_zfmisc_1(A, B), B)) ).
fof(fc11_membered, axiom,  (! [A] :  (v1_int_1(A) => v5_membered(k1_tarski(A))) ) ).
fof(fc11_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  => v1_setfam_1(k1_tarski(A))) ) ).
fof(fc11_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc11_xxreal_2, axiom,  ( ~ (v3_xxreal_2(k1_numbers))  &  ~ (v4_xxreal_2(k1_numbers)) ) ).
fof(fc12_membered, axiom,  (! [A] :  (v7_ordinal1(A) => v6_membered(k1_tarski(A))) ) ).
fof(fc12_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc12_xxreal_2, axiom, v6_xxreal_2(k6_numbers)).
fof(fc133_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_abian(A)) )  =>  ~ (v1_xboole_0(k9_xtuple_0(A))) ) ) ).
fof(fc13_prvect_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) & l1_rlvect_1(A)) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) & l1_rlvect_1(B)) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) & l1_rlvect_1(C)) ) ) ) ) ) ) ) ) ) )  => v1_prvect_2(k11_finseq_1(A, B, C))) ) ).
fof(fc13_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc14_prvect_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k6_prvect_4(A, B, C)))  &  (v13_algstr_0(k6_prvect_4(A, B, C)) &  (v2_rlvect_1(k6_prvect_4(A, B, C)) &  (v3_rlvect_1(k6_prvect_4(A, B, C)) &  (v4_rlvect_1(k6_prvect_4(A, B, C)) &  (v5_rlvect_1(k6_prvect_4(A, B, C)) &  (v6_rlvect_1(k6_prvect_4(A, B, C)) &  (v7_rlvect_1(k6_prvect_4(A, B, C)) &  (v8_rlvect_1(k6_prvect_4(A, B, C)) &  (v3_normsp_0(k6_prvect_4(A, B, C)) &  (v4_normsp_0(k6_prvect_4(A, B, C)) &  (v1_normsp_1(k6_prvect_4(A, B, C)) & v2_normsp_1(k6_prvect_4(A, B, C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc14_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc15_prvect_4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) ) ) )  => v2_prvect_2(k11_finseq_1(A, B, C))) ) ).
fof(fc15_xreal_0, axiom,  (! [A] :  ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v3_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc16_xreal_0, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v2_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc17_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k6_xcmplx_0(A, B))) ) ) ).
fof(fc17_xxreal_2, axiom, v6_xxreal_2(k1_numbers)).
fof(fc18_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k9_prvect_3(A, B)))  &  (v3_normsp_0(k9_prvect_3(A, B)) &  (v4_normsp_0(k9_prvect_3(A, B)) &  (v1_normsp_1(k9_prvect_3(A, B)) & v2_normsp_1(k9_prvect_3(A, B))) ) ) ) ) ) ).
fof(fc18_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k6_xcmplx_0(B, A))) ) ) ).
fof(fc19_prvect_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  &  ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(k9_prvect_3(A, B)))  &  (v13_algstr_0(k9_prvect_3(A, B)) &  (v2_rlvect_1(k9_prvect_3(A, B)) &  (v3_rlvect_1(k9_prvect_3(A, B)) &  (v4_rlvect_1(k9_prvect_3(A, B)) &  (v5_rlvect_1(k9_prvect_3(A, B)) &  (v6_rlvect_1(k9_prvect_3(A, B)) &  (v7_rlvect_1(k9_prvect_3(A, B)) &  (v8_rlvect_1(k9_prvect_3(A, B)) &  (v3_normsp_0(k9_prvect_3(A, B)) &  (v4_normsp_0(k9_prvect_3(A, B)) &  (v1_normsp_1(k9_prvect_3(A, B)) & v2_normsp_1(k9_prvect_3(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc19_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc1_membered, axiom, v1_membered(k2_numbers)).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_normsp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  ( ~ (v3_xxreal_0(k2_normsp_0(A, B)))  & v1_xreal_0(k2_normsp_0(A, B))) ) ) ).
fof(fc1_numbers, axiom,  ~ (v1_xboole_0(k1_numbers)) ).
fof(fc1_rat_1, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v1_rat_1(B))  => v1_rat_1(k3_xcmplx_0(A, B))) ) ).
fof(fc1_square_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k1_square_1(A))) ) ).
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_topgen_4, axiom, v4_card_3(k3_numbers)).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc20_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc21_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc22_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc23_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc24_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k9_xtuple_0(A))) ) ).
fof(fc24_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(B, A))) ) ) ).
fof(fc25_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc26_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc2_membered, axiom, v2_membered(k6_numbers)).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_normsp_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_normsp_0(A) & l2_normsp_0(A)) )  &  (v9_struct_0(B, A) & m1_subset_1(B, u1_struct_0(A))) )  =>  (v8_ordinal1(k2_normsp_0(A, B)) & v1_xreal_0(k2_normsp_0(A, B))) ) ) ).
fof(fc2_numbers, axiom,  ~ (v1_xboole_0(k2_numbers)) ).
fof(fc2_rat_1, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v1_rat_1(B))  => v1_rat_1(k2_xcmplx_0(A, B))) ) ).
fof(fc2_square_1, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xreal_0(k1_square_1(A))) ) ).
fof(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(fc2_topgen_4, axiom,  ~ (v4_card_3(k1_numbers)) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc31_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k7_xcmplx_0(A, B))) ) ) ).
fof(fc32_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k7_xcmplx_0(B, A))) ) ) ).
fof(fc33_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k7_xcmplx_0(A, B))) ) ) ).
fof(fc34_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k7_xcmplx_0(A, B))) ) ) ).
fof(fc3_membered, axiom, v3_membered(k1_numbers)).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc3_numbers, axiom,  ~ (v1_xboole_0(k3_numbers)) ).
fof(fc3_rat_1, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v1_rat_1(B))  => v1_rat_1(k6_xcmplx_0(A, B))) ) ).
fof(fc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A))) ) ) ).
fof(fc4_complex1, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xcmplx_0(A))  =>  (v8_ordinal1(k9_complex1(A)) & v1_xreal_0(k9_complex1(A))) ) ) ).
fof(fc4_membered, axiom, v4_membered(k3_numbers)).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc4_numbers, axiom,  ~ (v1_xboole_0(k4_numbers)) ).
fof(fc4_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  => v3_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc4_rat_1, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v1_rat_1(B))  => v1_rat_1(k7_xcmplx_0(A, B))) ) ).
fof(fc55_membered, axiom, v7_membered(k2_numbers)).
fof(fc56_membered, axiom, v7_membered(k1_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_complex1, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  =>  ( ~ (v8_ordinal1(k9_complex1(A)))  & v1_xreal_0(k9_complex1(A))) ) ) ).
fof(fc5_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v2_setfam_1(k1_tarski(A))) ) ).
fof(fc5_membered, axiom, v5_membered(k4_numbers)).
fof(fc5_numbers, axiom,  ~ (v1_xboole_0(k6_numbers)) ).
fof(fc5_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_rat_1(k4_xcmplx_0(A))) ) ) ).
fof(fc5_relat_1, axiom,  (! [A, B] : v1_relat_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc61_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => v1_xcmplx_0(k1_funct_1(A, B))) ) ).
fof(fc62_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  => v1_xxreal_0(k1_funct_1(A, B))) ) ).
fof(fc63_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  => v1_xreal_0(k1_funct_1(A, B))) ) ).
fof(fc64_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  => v1_rat_1(k1_funct_1(A, B))) ) ).
fof(fc65_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_valued_0(A)) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc66_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) )  => v7_ordinal1(k1_funct_1(A, B))) ) ).
fof(fc6_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (v1_xreal_0(k9_complex1(A)) &  ~ (v3_xxreal_0(k9_complex1(A))) ) ) ) ).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(fc6_numbers, axiom,  ~ (v1_finset_1(k4_numbers)) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(fc6_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc6_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k3_xcmplx_0(A, B))) ) ).
fof(fc73_fomodel0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  =>  (v1_xxreal_0(k9_complex1(A)) & v2_xxreal_0(k9_complex1(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(fc7_struct_0, axiom,  (! [A] :  ( (v7_struct_0(A) & l1_struct_0(A))  => v1_zfmisc_1(u1_struct_0(A))) ) ).
fof(fc7_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc81_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_finset_1(k13_finseq_1(A))) ) ) ).
fof(fc82_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_setfam_1(k13_finseq_1(A))) ) ) ).
fof(fc85_valued_0, axiom,  (! [A, B] :  (v1_membered(B) => v1_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc86_valued_0, axiom,  (! [A, B] :  (v2_membered(B) => v2_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc87_valued_0, axiom,  (! [A, B] :  (v3_membered(B) => v3_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc88_valued_0, axiom,  (! [A, B] :  (v4_membered(B) => v4_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc89_valued_0, axiom,  (! [A, B] :  (v5_membered(B) => v5_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc8_membered, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_membered(k1_tarski(A))) ) ).
fof(fc8_numbers, axiom,  ~ (v1_finset_1(k1_numbers)) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
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_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k7_xcmplx_0(A, B))) ) ).
fof(fc90_valued_0, axiom,  (! [A, B] :  (v6_membered(B) => v6_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc9_membered, axiom,  (! [A] :  (v1_xreal_0(A) => v3_membered(k1_tarski(A))) ) ).
fof(fc9_numbers, axiom,  ~ (v1_finset_1(k2_numbers)) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_struct_0, axiom,  (! [A] :  ( ( ~ (v8_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_finset_1(u1_struct_0(A))) ) ) ).
fof(fc9_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(free_g1_normsp_1, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(B, 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(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, A, k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) )  =>  (! [F, G, H, I, J] :  (g1_normsp_1(A, B, C, D, E)=g1_normsp_1(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ) ).
fof(ie1_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => k3_finseq_2(A)=k1_tarski(A)) ) ).
fof(ie1_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (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)) ) )  => k7_partfun1(B, C, D)=k3_funct_2(A, B, C, D)) ) ).
fof(ie2_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => k1_tarski(A)=k3_finseq_2(A)) ) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(projectivity_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_complex1(k9_complex1(A))=k9_complex1(A)) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_fomodel0, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_setfam_1(B)) ) ) ) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_fomodel0, axiom,  (? [A] :  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xcmplx_0(A)) ) ) ) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc17_struct_0, axiom,  (! [A] :  (l2_struct_0(A) =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & v9_struct_0(B, A)) ) ) ) ).
fof(rc19_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) &  ~ (v2_abian(A)) ) ) ) ) ).
fof(rc19_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l2_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  ~ (v9_struct_0(B, A)) ) ) ) ) ).
fof(rc1_fcont_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v1_fcont_1(A)) ) ) ) ) ) ) ) ) ).
fof(rc1_funct_2, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(rc1_measure5, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) & v1_measure5(A)) ) ) ) ) ) ).
fof(rc1_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_normsp_1, axiom,  (? [A] :  (l1_normsp_1(A) & v1_normsp_1(A)) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_rat_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_rat_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_topgen_4, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v4_card_3(A)) ) ) ).
fof(rc1_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_2, axiom,  (? [A] :  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v4_membered(A) &  (v5_membered(A) &  (v6_membered(A) &  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_2(A) & v2_xxreal_2(A)) ) ) ) ) ) ) ) ) ).
fof(rc1_xxreal_3, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  ~ (v1_xreal_0(A)) ) ) ) ).
fof(rc20_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) & v5_fomodel0(A)) ) ) ) ).
fof(rc20_struct_0, axiom,  (? [A] :  (l2_struct_0(A) &  ( ~ (v2_struct_0(A))  & v7_struct_0(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(rc2_fcont_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  (v1_xboole_0(A) &  (v1_valued_0(A) &  (v2_valued_0(A) & v3_valued_0(A)) ) ) ) ) ) ) ) ) ).
fof(rc2_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_normsp_1, axiom,  (? [A] :  (l1_normsp_1(A) &  ( ~ (v2_struct_0(A))  & v1_normsp_1(A)) ) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_rat_1, axiom,  (? [A] : v1_rat_1(A)) ).
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_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v4_valued_0(A) &  (v5_valued_0(A) & v6_valued_0(A)) ) ) ) ) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_2, axiom,  (? [A] :  (v6_membered(A) &  (v1_finset_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ).
fof(rc2_xxreal_3, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v3_xxreal_0(A) &  ~ (v1_xreal_0(A)) ) ) ) ).
fof(rc3_fcont_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k1_numbers, k1_numbers))) &  (v1_relat_1(A) &  (v4_relat_1(A, k1_numbers) &  (v5_relat_1(A, k1_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k1_numbers) &  (v1_funct_2(A, k1_numbers, k1_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) & v1_fcont_1(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_measure1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) &  ( ~ (v1_xboole_0(B))  & v4_card_3(B)) ) ) ) ).
fof(rc3_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(A)) ) ) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_normsp_1, axiom,  (? [A] :  (l1_normsp_1(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v1_normsp_1(A) & v2_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
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_valued_0, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v4_valued_0(A) &  (v5_valued_0(A) &  (v6_valued_0(A) & v7_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc3_xxreal_2, axiom,  (? [A] :  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v4_membered(A) &  (v5_membered(A) &  (v6_membered(A) &  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_2(A) & v5_xxreal_2(A)) ) ) ) ) ) ) ) ) ).
fof(rc4_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  & v3_ordinal1(A)) ) ) ).
fof(rc4_ordinal1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(B)) ) ) ) ) ).
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_valued_0, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v3_funct_1(B) & v1_funct_2(B, k4_ordinal1, A)) ) ) ) ) ) ) ) ).
fof(rc4_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  ( ~ (v1_xboole_0(A))  & v6_xxreal_2(A)) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(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_valued_0, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) & v1_funct_2(B, k4_ordinal1, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  (v1_xxreal_2(A) &  (v2_xxreal_2(A) & v6_xxreal_2(A)) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
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_valued_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v6_valued_0(B)) ) ) ) ) ) ).
fof(rc6_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  ( ~ (v1_xxreal_2(A))  &  (v2_xxreal_2(A) & v6_xxreal_2(A)) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc7_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  (v1_xxreal_2(A) &  ( ~ (v2_xxreal_2(A))  & v6_xxreal_2(A)) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc8_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xxreal_2(A))  &  ( ~ (v2_xxreal_2(A))  & v6_xxreal_2(A)) ) ) ) ) ).
fof(rc9_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rd1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) => k10_subset_1(A, k4_ordinal1)=A) ) ).
fof(rd1_rat_1, axiom,  (! [A] :  (v1_rat_1(A) => k10_subset_1(A, k3_numbers)=A) ) ).
fof(rd1_square_1, axiom, k3_square_1(k5_numbers)=k5_numbers).
fof(rd1_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k10_subset_1(B, A)=B) ) ).
fof(rd1_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => k10_subset_1(A, k1_numbers)=A) ) ).
fof(rd2_rat_1, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v1_rat_1(B))  => k10_subset_1(k4_tarski(A, B), k2_zfmisc_1(k3_numbers, k3_numbers))=k4_tarski(A, B)) ) ).
fof(rd2_square_1, axiom, k3_square_1(1)=1).
fof(rd2_subset_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) & m1_subset_1(D, B)) ) )  => k10_subset_1(k4_tarski(C, D), k2_zfmisc_1(A, B))=k4_tarski(C, D)) ) ).
fof(rd3_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k9_xtuple_0(k2_zfmisc_1(A, B))=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_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_k3_finseq_2, axiom,  (! [A] : k3_finseq_2(A)=k13_finseq_1(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_k3_rlvect_1, axiom,  (! [A, B, C] :  ( ( (v2_rlvect_1(A) & l1_algstr_0(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k3_rlvect_1(A, B, C)=k1_algstr_0(A, B, C)) ) ).
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_prvect_4, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  & l1_normsp_1(A))  &  ( ( ~ (v2_struct_0(B))  & l1_normsp_1(B))  &  ( ( ~ (v2_struct_0(C))  & l1_normsp_1(C))  &  (m1_subset_1(D, u1_struct_0(A)) &  (m1_subset_1(E, u1_struct_0(B)) & m1_subset_1(F, u1_struct_0(C))) ) ) ) )  => k7_prvect_4(A, B, C, D, E, F)=k3_xtuple_0(D, E, F)) ) ).
fof(redefinition_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) <=> m1_finseq_1(B, A)) ) ) ).
fof(redefinition_m2_finseq_2, axiom,  (! [A, B] :  (m1_finseq_2(B, A) =>  (! [C] :  (m2_finseq_2(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
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_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_r0, axiom, r1_xxreal_0(0, 0)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom, r1_xxreal_0(0, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom, r1_xxreal_0(0, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r3, axiom, r1_xxreal_0(0, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm2, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm3, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d2, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d3, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn2d3, axiom, r1_xxreal_0(0, k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn3d2, axiom, r1_xxreal_0(0, k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d2, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d3, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm3d2, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ (r1_xxreal_0(1, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(1, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm2, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm3, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn2d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn3d2, axiom, r1_xxreal_0(1, k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d3, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm3d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ (r1_xxreal_0(2, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ (r1_xxreal_0(2, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom, r1_xxreal_0(2, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm1, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm3, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn2d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn3d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(3, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d3, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm3d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r0, axiom,  ~ (r1_xxreal_0(3, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom,  ~ (r1_xxreal_0(3, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r2, axiom,  ~ (r1_xxreal_0(3, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm1, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm2, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm3, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn1d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn2d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rn3d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(3, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm1d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm1d3, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rnm3d2, axiom,  ~ (r1_xxreal_0(3, k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r0, axiom, r1_xxreal_0(k4_xcmplx_0(1), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r1, axiom, r1_xxreal_0(k4_xcmplx_0(1), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r2, axiom, r1_xxreal_0(k4_xcmplx_0(1), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r3, axiom, r1_xxreal_0(k4_xcmplx_0(1), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn2d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn3d2, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d2, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d3, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 3))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm3d2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r0, axiom, r1_xxreal_0(k4_xcmplx_0(2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r1, axiom, r1_xxreal_0(k4_xcmplx_0(2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r2, axiom, r1_xxreal_0(k4_xcmplx_0(2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r3, axiom, r1_xxreal_0(k4_xcmplx_0(2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rnm3d2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(3), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r0, axiom, r1_xxreal_0(k4_xcmplx_0(3), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r1, axiom, r1_xxreal_0(k4_xcmplx_0(3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r2, axiom, r1_xxreal_0(k4_xcmplx_0(3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r3, axiom, r1_xxreal_0(k4_xcmplx_0(3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm3, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(3))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rnm3d2, axiom, r1_xxreal_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(3), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm3d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn1d3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d3_rnm1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r1, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rn2d3_rnm1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(3, 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(3, 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn1d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn2d3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(2, 3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn3d2_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn3d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rn2d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(2, 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d3_rnm1d3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_r3, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rm1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rm3, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm3d2_rnm3d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))).
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_r3_r3, axiom, k2_xcmplx_0(0, 3)=3).
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_rm3_rm3, axiom, k2_xcmplx_0(0, k4_xcmplx_0(3))=k4_xcmplx_0(3)).
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_rn1d3_rn1d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(2, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2, axiom, k2_xcmplx_0(0, k7_xcmplx_0(3, 2))=k7_xcmplx_0(3, 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__r0_rnm1d3_rnm1d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rnm2d3_rnm2d3, axiom, k2_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
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_r2_r3, axiom, k2_xcmplx_0(1, 2)=3).
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_rm3_rm2, axiom, k2_xcmplx_0(1, k4_xcmplx_0(3))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2, axiom, k2_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(3, 2)).
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__r1_rnm1d3_rn2d3, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(2, 1)=3).
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__r2_rm3_rm1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(3))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2, axiom, k2_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2, axiom, k2_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__r3_r0_r3, axiom, k2_xcmplx_0(3, 0)=3).
fof(rqRealAdd__k2_xcmplx_0__r3_rm1_r2, axiom, k2_xcmplx_0(3, k4_xcmplx_0(1))=2).
fof(rqRealAdd__k2_xcmplx_0__r3_rm2_r1, axiom, k2_xcmplx_0(3, k4_xcmplx_0(2))=1).
fof(rqRealAdd__k2_xcmplx_0__r3_rm3_r0, axiom, k2_xcmplx_0(3, k4_xcmplx_0(3))=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_r3_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 3)=2).
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_rm2_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=k4_xcmplx_0(3)).
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__rm1_rn2d3_rnm1d3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(3, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 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__rm2_r3_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 3)=1).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rn1d2_rnm3d2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r2_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 2)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r3_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 3)=0).
fof(rqRealAdd__k2_xcmplx_0__rm3_rn3d2_rnm3d2, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
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_r1_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(3, 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_rm2_rnm3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(3), 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_rn3d2_r2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 2))=2).
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__rn1d2_rnm3d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_r0_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), 0)=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rm1_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(2, 3))=1).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), 0)=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 3))=1).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), 0)=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(1))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 2))=2).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 2))=3).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(3), 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_r2_rn3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)=k7_xcmplx_0(3, 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(3), 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_rn3d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 2))=1).
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(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_r0_rnm1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 1)=k7_xcmplx_0(2, 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(2, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_r0_rnm2d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_r1_rn1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 1)=k7_xcmplx_0(1, 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rn1d3_rnm1d3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(2, 3))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_r1_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 2)=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn1d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(3, 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rnm3d2_rm3, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(3)).
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_r3_rm3, axiom, k6_xcmplx_0(0, 3)=k4_xcmplx_0(3)).
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_rm3_r3, axiom, k6_xcmplx_0(0, k4_xcmplx_0(3))=3).
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_rn1d3_rnm1d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 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__r0_rnm1d3_rn1d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm2d3_rn2d3, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm3d2_rn3d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(3, 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_r3_rm2, axiom, k6_xcmplx_0(1, 3)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rm2_r3, axiom, k6_xcmplx_0(1, k4_xcmplx_0(2))=3).
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__r1_rn1d3_rn2d3, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3, axiom, k6_xcmplx_0(1, k7_xcmplx_0(2, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(3, 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__r2_r3_rm1, axiom, k6_xcmplx_0(2, 3)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r2_rm1_r3, axiom, k6_xcmplx_0(2, k4_xcmplx_0(1))=3).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2, axiom, k6_xcmplx_0(2, k7_xcmplx_0(1, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2, axiom, k6_xcmplx_0(2, k7_xcmplx_0(3, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r3_r0_r3, axiom, k6_xcmplx_0(3, 0)=3).
fof(rqRealDiff__k6_xcmplx_0__r3_r1_r2, axiom, k6_xcmplx_0(3, 1)=2).
fof(rqRealDiff__k6_xcmplx_0__r3_r2_r1, axiom, k6_xcmplx_0(3, 2)=1).
fof(rqRealDiff__k6_xcmplx_0__r3_r3_r0, axiom, k6_xcmplx_0(3, 3)=0).
fof(rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2, axiom, k6_xcmplx_0(3, k7_xcmplx_0(3, 2))=k7_xcmplx_0(3, 2)).
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_r2_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 2)=k4_xcmplx_0(3)).
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_rm3_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(3))=2).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
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__rm1_rnm1d3_rnm2d3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_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_r1_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(3)).
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__rm2_rm3_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(3))=1).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm3_r0_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 0)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm3_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(3))=0).
fof(rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
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_r2_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 2)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(1))=k7_xcmplx_0(3, 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_rn3d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(3, 2))=k4_xcmplx_0(1)).
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__rn1d2_rnm3d2_r2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=2).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), 0)=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), 1)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(1, 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=1).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), 0)=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(2, 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=1).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r0_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 0)=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 2)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), 3)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(3, 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=2).
fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3, axiom, k6_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=3).
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_r1_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(3), 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_rm2_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(2))=k7_xcmplx_0(3, 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_rn3d2_rm2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(3, 2))=k4_xcmplx_0(2)).
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(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(1))=k7_xcmplx_0(2, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(2, 3))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_r0_rnm2d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 0)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k4_xcmplx_0(1))=k7_xcmplx_0(1, 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(1, 3))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_r0_rnm3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(3))=k7_xcmplx_0(3, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(3, 2))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(3), 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_r3_rn1d3, axiom, k7_xcmplx_0(1, 3)=k7_xcmplx_0(1, 3)).
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_rm3_rnm1d3, axiom, k7_xcmplx_0(1, k4_xcmplx_0(3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
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_rn1d3_r3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 3))=3).
fof(rqRealDiv__k7_xcmplx_0__r1_rn2d3_rn3d2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(2, 3))=k7_xcmplx_0(3, 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(3, 2))=k7_xcmplx_0(2, 3)).
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__r1_rnm1d3_rm3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k4_xcmplx_0(3)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm2d3_rnm3d2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
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__r2_r3_rn2d3, axiom, k7_xcmplx_0(2, 3)=k7_xcmplx_0(2, 3)).
fof(rqRealDiv__k7_xcmplx_0__r3_r1_r3, axiom, k7_xcmplx_0(3, 1)=3).
fof(rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2, axiom, k7_xcmplx_0(3, 2)=k7_xcmplx_0(3, 2)).
fof(rqRealDiv__k7_xcmplx_0__r3_r3_r1, axiom, k7_xcmplx_0(3, 3)=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_r3_r0, axiom, k3_xcmplx_0(0, 3)=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_rm3_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(3))=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__r0_rn1d3_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 3))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn2d3_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(2, 3))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn3d2_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(3, 2))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rnm1d3_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 3))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rnm2d3_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(2), 3))=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_r3_r3, axiom, k3_xcmplx_0(1, 3)=3).
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_rm3_rm3, axiom, k3_xcmplx_0(1, k4_xcmplx_0(3))=k4_xcmplx_0(3)).
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_rn1d3_rn1d3, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__r1_rn2d3_rn2d3, axiom, k3_xcmplx_0(1, k7_xcmplx_0(2, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__r1_rn3d2_rn3d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(3, 2))=k7_xcmplx_0(3, 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__r1_rnm1d3_rnm1d3, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm2d3_rnm2d3, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm3d2_rnm3d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 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_rn1d3_rn2d3, axiom, k3_xcmplx_0(2, k7_xcmplx_0(1, 3))=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__r2_rn3d2_r3, axiom, k3_xcmplx_0(2, k7_xcmplx_0(3, 2))=3).
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__r2_rnm1d3_rnm2d3, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__r2_rnm3d2_rm3, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__r3_r0_r0, axiom, k3_xcmplx_0(3, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r3_r1_r3, axiom, k3_xcmplx_0(3, 1)=3).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d2_rn3d2, axiom, k3_xcmplx_0(3, k7_xcmplx_0(1, 2))=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__r3_rn1d3_r1, axiom, k3_xcmplx_0(3, k7_xcmplx_0(1, 3))=1).
fof(rqRealMult__k3_xcmplx_0__r3_rn2d3_r2, axiom, k3_xcmplx_0(3, k7_xcmplx_0(2, 3))=2).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d2_rnm3d2, axiom, k3_xcmplx_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__r3_rnm1d3_rm1, axiom, k3_xcmplx_0(3, k7_xcmplx_0(k4_xcmplx_0(1), 3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r3_rnm2d3_rm2, axiom, k3_xcmplx_0(3, k7_xcmplx_0(k4_xcmplx_0(2), 3))=k4_xcmplx_0(2)).
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_rn1d3_rnm2d3, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__rm2_rn3d2_rm3, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(3, 2))=k4_xcmplx_0(3)).
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__rm2_rnm1d3_rn2d3, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm3d2_r3, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(3), 2))=3).
fof(rqRealMult__k3_xcmplx_0__rm3_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm3_r1_rm3, axiom, k3_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d2_rnm3d2, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__rm3_rn1d3_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(1, 3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm3_rn2d3_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(2, 3))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d2_rn3d2, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d3_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(1), 3))=1).
fof(rqRealMult__k3_xcmplx_0__rm3_rnm2d3_r2, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k7_xcmplx_0(k4_xcmplx_0(2), 3))=2).
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_r3_rn3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 3)=k7_xcmplx_0(3, 2)).
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__rn1d2_rm3_rnm3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(3))=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rn2d3_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(2, 3))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm2d3_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r1_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), 1)=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r2_rn2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), 2)=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_r3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), 3)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rm2_rnm2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rm3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k4_xcmplx_0(3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rn3d2_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(3, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d3_rnm3d2_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn2d3_r1_rn2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), 1)=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_r3_r2, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), 3)=2).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rm3_rm2, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k4_xcmplx_0(3))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rn1d2_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rn3d2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(3, 2))=1).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rnm1d2_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rn2d3_rnm3d2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(2, 3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn3d2_r1_rn3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), 1)=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_r2_r3, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), 2)=3).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rm2_rm3, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k4_xcmplx_0(2))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rn1d3_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(1, 3))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rn2d3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(2, 3))=1).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm1d3_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm2d3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(3, 2), k7_xcmplx_0(k4_xcmplx_0(2), 3))=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_r3_rnm3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 3)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
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(rqRealMult__k3_xcmplx_0__rnm1d2_rm3_rn3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(3))=k7_xcmplx_0(3, 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn2d3_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm2d3_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r1_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r2_rnm2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 2)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_r3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), 3)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm2_rn2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(2))=k7_xcmplx_0(2, 3)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k4_xcmplx_0(3))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rn3d2_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d2_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_r1_rnm2d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 1)=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_r3_rm2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), 3)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rm3_r2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k4_xcmplx_0(3))=2).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rn1d2_rnm1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rn3d2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(3, 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d2_rn1d3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 3)).
fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3), k7_xcmplx_0(k4_xcmplx_0(3), 2))=1).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_r1_rnm3d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(3), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_r2_rm3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), 2)=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rm2_r3, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k4_xcmplx_0(2))=3).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn1d3_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn2d3_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(2, 3))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d3_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d3_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2), k7_xcmplx_0(k4_xcmplx_0(2), 3))=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__r3_rm3, axiom, k4_xcmplx_0(3)=k4_xcmplx_0(3)).
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__rm3_r3, axiom, k4_xcmplx_0(k4_xcmplx_0(3))=3).
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__rn1d3_rnm1d3, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 3))=k7_xcmplx_0(k4_xcmplx_0(1), 3)).
fof(rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3, axiom, k4_xcmplx_0(k7_xcmplx_0(2, 3))=k7_xcmplx_0(k4_xcmplx_0(2), 3)).
fof(rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2, axiom, k4_xcmplx_0(k7_xcmplx_0(3, 2))=k7_xcmplx_0(k4_xcmplx_0(3), 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(rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 3))=k7_xcmplx_0(1, 3)).
fof(rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 3))=k7_xcmplx_0(2, 3)).
fof(rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3), 2))=k7_xcmplx_0(3, 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(spc3_boole, axiom,  ~ (v1_xboole_0(3)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, 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(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_mesfun17, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k6_prvect_4(A, B, C))) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(C)) =>  (D=k7_prvect_4(A, B, C, E, F, G) =>  (r1_xxreal_0(k2_normsp_0(k6_prvect_4(A, B, C), D), k2_xcmplx_0(k2_xcmplx_0(k2_normsp_0(A, E), k2_normsp_0(B, F)), k2_normsp_0(C, G))) &  (r1_xxreal_0(k2_normsp_0(A, E), k2_normsp_0(k6_prvect_4(A, B, C), D)) &  (r1_xxreal_0(k2_normsp_0(B, F), k2_normsp_0(k6_prvect_4(A, B, C), D)) & r1_xxreal_0(k2_normsp_0(C, G), k2_normsp_0(k6_prvect_4(A, B, C), D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v2_xxreal_0(A))  => v2_xxreal_0(B)) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t222_xreal_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  ~ ( ( ~ (r1_xxreal_0(A, k5_numbers))  & r1_xxreal_0(k7_xcmplx_0(A, 3), k5_numbers)) ) ) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
fof(t2_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v3_xxreal_0(B))  => v3_xxreal_0(A)) ) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t2_xxreal_0, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  (! [C] :  (v1_xxreal_0(C) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(B, C))  => r1_xxreal_0(A, C)) ) ) ) ) ) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t3_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v3_xxreal_0(A))  & v3_xxreal_0(B)) ) ) ) ) ) ) ).
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_dualsp03, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_dualsp02)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_dualsp02)) =>  ( (A=C & B=D)  => k6_xcmplx_0(A, B)=k5_algstr_0(k3_dualsp02, C, D)) ) ) ) ) ) ) ) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(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_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(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(t60_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k9_complex1(k6_xcmplx_0(A, B))=k9_complex1(k6_xcmplx_0(B, A))) ) ) ) ).
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_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(A) |  (v2_xxreal_0(B) | v3_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
fof(t8_xreal_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (! [D] :  (v1_xreal_0(D) =>  ~ ( ( ~ (r1_xxreal_0(B, A))  &  (r1_xxreal_0(C, D) & r1_xxreal_0(k2_xcmplx_0(B, D), k2_xcmplx_0(A, C))) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_prvect_4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v8_rlvect_1(A) &  (v3_normsp_0(A) &  (v4_normsp_0(A) &  (v2_normsp_1(A) & l1_normsp_1(A)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v13_algstr_0(B) &  (v2_rlvect_1(B) &  (v3_rlvect_1(B) &  (v4_rlvect_1(B) &  (v5_rlvect_1(B) &  (v6_rlvect_1(B) &  (v7_rlvect_1(B) &  (v8_rlvect_1(B) &  (v3_normsp_0(B) &  (v4_normsp_0(B) &  (v2_normsp_1(B) & l1_normsp_1(B)) ) ) ) ) ) ) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v13_algstr_0(C) &  (v2_rlvect_1(C) &  (v3_rlvect_1(C) &  (v4_rlvect_1(C) &  (v5_rlvect_1(C) &  (v6_rlvect_1(C) &  (v7_rlvect_1(C) &  (v8_rlvect_1(C) &  (v3_normsp_0(C) &  (v4_normsp_0(C) &  (v2_normsp_1(C) & l1_normsp_1(C)) ) ) ) ) ) ) ) ) ) ) )  =>  ( (! [D] :  (m1_subset_1(D, u1_struct_0(k6_prvect_4(A, B, C))) <=>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(C)) & D=k7_prvect_4(A, B, C, E, F, G)) ) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(C)) =>  (! [I] :  (m1_subset_1(I, u1_struct_0(C)) => k3_rlvect_1(k6_prvect_4(A, B, C), k7_prvect_4(A, B, C, D, F, H), k7_prvect_4(A, B, C, E, G, I))=k7_prvect_4(A, B, C, k3_rlvect_1(A, D, E), k3_rlvect_1(B, F, G), k3_rlvect_1(C, H, I))) ) ) ) ) ) ) ) ) ) ) )  &  (k4_struct_0(k6_prvect_4(A, B, C))=k7_prvect_4(A, B, C, k4_struct_0(A), k4_struct_0(B), k4_struct_0(C)) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (! [G] :  (v1_xreal_0(G) => k1_rlvect_1(k6_prvect_4(A, B, C), k7_prvect_4(A, B, C, D, E, F), G)=k7_prvect_4(A, B, C, k1_rlvect_1(A, D, G), k1_rlvect_1(B, E, G), k1_rlvect_1(C, F, G))) ) ) ) ) ) ) )  &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) => k4_algstr_0(k6_prvect_4(A, B, C), k7_prvect_4(A, B, C, D, E, F))=k7_prvect_4(A, B, C, k4_algstr_0(A, D), k4_algstr_0(B, E), k4_algstr_0(C, F))) ) ) ) ) )  &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(C)) =>  (k2_normsp_0(k6_prvect_4(A, B, C), k7_prvect_4(A, B, C, D, E, F))=k3_square_1(k2_xcmplx_0(k2_xcmplx_0(k1_square_1(k2_normsp_0(A, D)), k1_square_1(k2_normsp_0(B, E))), k1_square_1(k2_normsp_0(C, F)))) &  (? [G] :  (m2_finseq_2(G, k1_numbers, k1_euclid(3)) &  (G=k11_finseq_1(k2_normsp_0(A, D), k2_normsp_0(B, E), k2_normsp_0(C, F)) & k2_normsp_0(k6_prvect_4(A, B, C), k7_prvect_4(A, B, C, D, E, F))=k12_euclid(G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
