% Mizar problem: t22_nomin_9,nomin_9,1913,7 
fof(t22_nomin_9, conjecture,  (! [A] :  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( ~ (v1_xboole_0(G))  =>  (! [H] :  ( (v1_relat_1(H) &  (v5_relat_1(H, G) &  (v1_funct_1(H) &  (v3_card_1(H, 10) & v1_finseq_1(H)) ) ) )  =>  (! [I] :  ( (v1_relat_1(I) &  (v1_funct_1(I) &  (v3_card_1(I, 10) & v1_finseq_1(I)) ) )  =>  (! [J] :  (m1_subset_1(J, G) =>  ( (v1_nomin_4(A) &  (r1_nomin_4(G, A) &  ( (! [K] :  (m2_nomin_1(K, G, A) =>  (r4_nomin_4(G, A, K, k7_partfun1(G, H, 1)) &  (r4_nomin_4(G, A, K, k7_partfun1(G, H, 2)) &  (r4_nomin_4(G, A, K, k7_partfun1(G, H, 3)) &  (r4_nomin_4(G, A, K, k7_partfun1(G, H, 4)) &  (r4_nomin_4(G, A, K, k7_partfun1(G, H, 6)) &  (r4_nomin_4(G, A, K, k7_partfun1(G, H, 7)) &  (r4_nomin_4(G, A, K, k7_partfun1(G, H, 8)) &  (r4_nomin_4(G, A, K, k7_partfun1(G, H, 9)) & r4_nomin_4(G, A, K, k7_partfun1(G, H, 10))) ) ) ) ) ) ) ) ) )  &  (v2_funct_1(H) & r2_nomin_7(G, H, I, 10)) ) ) )  => m1_subset_1(k11_finseq_1(k13_nomin_9(G, A, B, C, D, E, F, I), k11_nomin_9(G, A, H, I, J), k14_nomin_9(G, A, J, B, C, D, E, F)), k1_nomin_3(k3_nomin_1(G, 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_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v6_membered(A)) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc11_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_card_1(A))  =>  (! [B] :  (v3_card_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc11_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_finseq_1(A)) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_finseq_1(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc16_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => v6_valued_0(A)) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_numbers) => v5_valued_0(A)) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(A)) ) ).
fof(cc1_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc1_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_funct_1(A)) ) ).
fof(cc1_int_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) => v1_int_1(A)) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_xboole_0(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_partfun3(A)) ) ) ) ) ).
fof(cc1_nomin_1, axiom,  (! [A, B] :  (! [C] :  (m1_nomin_1(C, A, B) => v1_finset_1(C)) ) ) ).
fof(cc1_nomin_4, axiom,  (! [A] :  (v1_nomin_4(A) =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_partpr_2, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k3_rfunct_3(A, B)) => v4_relat_1(C, 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_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(cc2_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_newton04, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_xboole_0(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v4_partfun3(B)) ) ) ) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_partpr_2, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k3_rfunct_3(A, B)) => v5_relat_1(C, 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_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_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(A)) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) => v5_relat_1(B, A)) ) ) ).
fof(cc3_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_funct_1(B)) ) ) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v4_partfun3(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(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_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc3_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v2_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(A)) ) ).
fof(cc4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc4_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc4_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_1(A)) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v4_partfun3(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_numbers) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(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_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_subset_1(B, A)) ) ) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc4_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(cc5_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc5_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc5_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(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_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
fof(cc5_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v3_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) ) ) ) ).
fof(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(cc6_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ).
fof(cc6_funct_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
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_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ) ).
fof(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_0(A)) ) ).
fof(cc7_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc7_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_xxreal_0, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(cc8_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(A)) ) ).
fof(cc8_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ) ).
fof(cc9_card_1, axiom,  (! [A] :  (v3_card_1(A, 1) =>  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ) ).
fof(cc9_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v1_finset_1(A)) ) ).
fof(cc9_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_funct_1(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(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_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
fof(commutativity_k5_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k5_partpr_1(A, B, C)=k5_partpr_1(A, C, B)) ) ).
fof(commutativity_k6_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k6_partpr_1(A, B, C)=k6_partpr_1(A, C, B)) ) ).
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(d10_finseq_1, axiom,  (! [A] :  (! [B] :  (! [C] : k11_finseq_1(A, B, C)=k7_finseq_1(k7_finseq_1(k9_finseq_1(A), k9_finseq_1(B)), k9_finseq_1(C))) ) ) ).
fof(d10_nomin_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k5_nomin_4(A, B, C, D)=k2_nomin_4(A, B, C, D, k4_nomin_4(B))) ) ) ) ) ) ).
fof(d11_nomin_9, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  (! [G] :  (v7_ordinal1(G) =>  (! [H] :  ( (v1_relat_1(H) &  (v1_funct_1(H) & v1_finseq_1(H)) )  => k13_nomin_9(A, B, C, D, E, F, G, H)=k9_nomin_8(A, B, k12_nomin_9(C, D, E, F, G), H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_nomin_9, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  (! [G] :  (v1_int_1(G) =>  (! [H] :  (v7_ordinal1(H) => k14_nomin_9(A, B, C, D, E, F, G, H)=k10_nomin_8(A, B, C, k7_nomin_9(D, E, F, G, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d16_nomin_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k10_nomin_4(A, B, C, D)=k3_nomin_4(A, B, C, D, k9_nomin_4(B))) ) ) ) ) ) ).
fof(d16_partpr_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k17_partpr_2(A, B, C)=k1_binop_1(k16_partpr_2(A), B, C)) ) ) ) ) ) ).
fof(d18_partpr_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k19_partpr_2(A, B)=k1_funct_1(k18_partpr_2(A), B)) ) ) ) ).
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_nomin_5, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k1_nomin_5(A, B, C, D)=k6_partpr_2(A, k6_partpr_2(A, B, C), D)) ) ) ) ) ) ) ).
fof(d1_nomin_6, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k1_nomin_6(A, B, C, D, E, F)=k6_partpr_2(A, k2_nomin_5(A, B, C, D, E), F)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_nomin_9, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] : k1_nomin_9(A, B, C, D, E, F, G, H, I)=k7_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H), k9_finseq_1(I))) ) ) ) ) ) ) ) ) ).
fof(d1_partpr_1, axiom,  (! [A] : k1_partpr_1(A)=k4_partfun1(A, k5_margrel1)) ).
fof(d2_nomin_4, axiom,  (! [A] :  (! [B] : k1_nomin_4(A, B)=a_2_0_nomin_4(A, B)) ) ).
fof(d2_nomin_5, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k2_nomin_5(A, B, C, D, E)=k6_partpr_2(A, k1_nomin_5(A, B, C, D), E)) ) ) ) ) ) ) ) ) ).
fof(d2_nomin_7, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  (v7_ordinal1(D) =>  (r2_nomin_7(A, B, C, D) <=>  (! [E] :  (v7_ordinal1(E) =>  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, D) &  (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, D) & k1_funct_1(C, E)=k7_partfun1(A, B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_nomin_9, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] : k3_nomin_9(A, B, C, D, E, F, G, H, I, J)=k7_finseq_1(k1_nomin_9(A, B, C, D, E, F, G, H, I), k9_finseq_1(J))) ) ) ) ) ) ) ) ) ) ).
fof(d2_partpr_2, axiom,  (! [A] : k2_partpr_2(A)=k3_rfunct_3(A, A)) ).
fof(d3_nomin_4, axiom,  (! [A] :  (! [B] :  (r1_nomin_4(A, B) <=> r1_xboole_0(B, k1_nomin_4(A, B))) ) ) ).
fof(d3_nomin_7, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [G] :  ( (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k1_nomin_7(A, B, C, D, E, F, G)=k6_partpr_2(A, k1_nomin_6(A, B, C, D, E, F), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_partpr_1, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k3_partpr_1(A, B)=k1_funct_1(k2_partpr_1(A), B)) ) ) ).
fof(d4_nomin_9, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v7_ordinal1(E) => k7_nomin_9(A, B, C, D, E)=k2_domain_1(k4_numbers, k4_numbers, k8_nat_1(k2_zfmisc_1(k4_numbers, k4_numbers), k6_nomin_9(A, B, C, D), E))) ) ) ) ) ) ) ) ) ) ).
fof(d4_partpr_2, axiom,  (! [A] : k5_partpr_2(A)=k1_partpr_2(A, A, A)) ).
fof(d5_aofa_a00, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] : k8_aofa_a00(A, B, C, D, E, F, G, H)=k7_finseq_1(k8_finseq_4(A, B, C, D, E), k11_finseq_1(F, G, H))) ) ) ) ) ) ) ) ).
fof(d5_finseq_1, axiom,  (! [A] : k5_finseq_1(A)=k1_tarski(k4_tarski(1, A))) ).
fof(d5_nomin_9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  => k8_nomin_9(A, B, C)=k1_nomin_7(k3_nomin_1(A, B), k6_nomin_2(A, B, k7_partfun1(A, C, 6), k18_nomin_1(A, B, k7_partfun1(A, C, 4))), k6_nomin_2(A, B, k7_partfun1(A, C, 4), k18_nomin_1(A, B, k7_partfun1(A, C, 5))), k6_nomin_2(A, B, k7_partfun1(A, C, 9), k8_nomin_5(A, B, k7_partfun1(A, C, 7), k7_partfun1(A, C, 4))), k6_nomin_2(A, B, k7_partfun1(A, C, 10), k8_nomin_5(A, B, k7_partfun1(A, C, 8), k7_partfun1(A, C, 6))), k6_nomin_2(A, B, k7_partfun1(A, C, 5), k10_nomin_4(A, B, k7_partfun1(A, C, 9), k7_partfun1(A, C, 10))), k6_nomin_2(A, B, k7_partfun1(A, C, 1), k7_nomin_5(A, B, k7_partfun1(A, C, 1), k7_partfun1(A, C, 2))))) ) ) ) ).
fof(d5_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k5_partpr_1(A, B, C)=k1_binop_1(k4_partpr_1(A), B, C)) ) ) ) ) ) ).
fof(d5_partpr_2, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  => k6_partpr_2(A, B, C)=k1_binop_1(k5_partpr_2(A), B, C)) ) ) ) ) ).
fof(d6_nomin_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m2_nomin_1(C, A, B) =>  (! [D] :  (m1_subset_1(D, A) =>  (r4_nomin_4(A, B, C, D) <=> r2_tarski(k1_funct_1(k18_nomin_1(A, B, D), C), B)) ) ) ) ) ) ) ).
fof(d6_nomin_9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  => k9_nomin_9(A, B, C)=k17_partpr_2(k3_nomin_1(A, B), k3_partpr_1(k3_nomin_1(A, B), k5_nomin_4(A, B, k7_partfun1(A, C, 1), k7_partfun1(A, C, 3))), k8_nomin_9(A, B, C))) ) ) ) ).
fof(d6_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k6_partpr_1(A, B, C)=k3_partpr_1(A, k5_partpr_1(A, k3_partpr_1(A, B), k3_partpr_1(A, C)))) ) ) ) ) ) ).
fof(d7_nomin_1, axiom,  (! [A] :  (! [B] : k3_nomin_1(A, B)=a_2_1_nomin_1(A, B)) ) ).
fof(d7_nomin_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), k5_margrel1)))) )  => k2_nomin_4(A, B, C, D, E)=k3_relat_1(k13_funct_3(k18_nomin_1(A, B, C), k18_nomin_1(A, B, D)), E)) ) ) ) ) ) ) ) ).
fof(d7_nomin_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k7_nomin_5(A, B, C, D)=k3_nomin_4(A, B, C, D, k5_nomin_5(B))) ) ) ) ) ) ).
fof(d7_nomin_9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  => k10_nomin_9(A, B, C, D)=k6_partpr_2(k3_nomin_1(A, B), k4_nomin_7(A, B, C, D, 10), k9_nomin_9(A, B, C))) ) ) ) ) ) ).
fof(d8_nomin_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B)))))  => k6_nomin_2(A, B, C, D)=k1_funct_1(k5_nomin_2(A, B, C), D)) ) ) ) ) ).
fof(d8_nomin_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) )  => k3_nomin_4(A, B, C, D, E)=k3_relat_1(k13_funct_3(k18_nomin_1(A, B, C), k18_nomin_1(A, B, D)), E)) ) ) ) ) ) ) ) ).
fof(d8_nomin_5, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) => k8_nomin_5(A, B, C, D)=k3_nomin_4(A, B, C, D, k6_nomin_5(B))) ) ) ) ) ) ).
fof(d8_nomin_9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  (m1_subset_1(E, A) => k11_nomin_9(A, B, C, D, E)=k6_partpr_2(k3_nomin_1(A, B), k10_nomin_9(A, B, C, D), k6_nomin_2(A, B, E, k18_nomin_1(A, B, k7_partfun1(A, C, 4))))) ) ) ) ) ) ) ) ).
fof(d9_nomin_7, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  (! [E] :  (v7_ordinal1(E) => k4_nomin_7(A, B, C, D, E)=k8_partfun1(k3_nomin_1(A, B), k3_nomin_1(A, B), k3_nomin_7(A, B, C, D, E), E)) ) ) ) ) ) ) ) ).
fof(d9_nomin_9, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v7_ordinal1(E) => k12_nomin_9(A, B, C, D, E)=k3_nomin_9(k5_numbers, 1, E, A, B, A, C, D, k5_numbers, k5_numbers)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k10_nomin_4, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, A) & m1_subset_1(D, A))  =>  (v1_funct_1(k10_nomin_4(A, B, C, D)) & m1_subset_1(k10_nomin_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) ) ).
fof(dt_k10_nomin_8, axiom,  (! [A, B, C, D] :  (v1_funct_1(k10_nomin_8(A, B, C, D)) & m1_subset_1(k10_nomin_8(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1)))) ) ).
fof(dt_k10_nomin_9, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  &  (v1_relat_1(D) & v1_funct_1(D)) )  =>  (v1_funct_1(k10_nomin_9(A, B, C, D)) & m1_subset_1(k10_nomin_9(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) ) ).
fof(dt_k11_finseq_1, axiom, $true).
fof(dt_k11_nomin_9, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  &  ( (v1_relat_1(D) & v1_funct_1(D))  & m1_subset_1(E, A)) )  =>  (v1_funct_1(k11_nomin_9(A, B, C, D, E)) & m1_subset_1(k11_nomin_9(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) ) ).
fof(dt_k12_nomin_9, axiom,  (! [A, B, C, D, E] :  ( (v1_int_1(A) &  (v1_int_1(B) &  (v1_int_1(C) &  (v1_int_1(D) & v7_ordinal1(E)) ) ) )  =>  (v1_relat_1(k12_nomin_9(A, B, C, D, E)) &  (v1_funct_1(k12_nomin_9(A, B, C, D, E)) & v1_finseq_1(k12_nomin_9(A, B, C, D, E))) ) ) ) ).
fof(dt_k13_funct_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k13_funct_3(A, B)) & v1_funct_1(k13_funct_3(A, B))) ) ) ).
fof(dt_k13_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H] :  ( (v1_int_1(C) &  (v1_int_1(D) &  (v1_int_1(E) &  (v1_int_1(F) &  (v7_ordinal1(G) &  (v1_relat_1(H) &  (v1_funct_1(H) & v1_finseq_1(H)) ) ) ) ) ) )  =>  (v1_funct_1(k13_nomin_9(A, B, C, D, E, F, G, H)) & m1_subset_1(k13_nomin_9(A, B, C, D, E, F, G, H), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1)))) ) ) ).
fof(dt_k14_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H] :  ( (m1_subset_1(C, A) &  (v1_int_1(D) &  (v1_int_1(E) &  (v1_int_1(F) &  (v1_int_1(G) & v7_ordinal1(H)) ) ) ) )  =>  (v1_funct_1(k14_nomin_9(A, B, C, D, E, F, G, H)) & m1_subset_1(k14_nomin_9(A, B, C, D, E, F, G, H), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1)))) ) ) ).
fof(dt_k15_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  &  (v1_int_1(D) &  (v1_int_1(E) &  (v1_int_1(F) &  (v1_int_1(G) & v7_ordinal1(H)) ) ) ) )  =>  (v1_funct_1(k15_nomin_9(A, B, C, D, E, F, G, H)) & m1_subset_1(k15_nomin_9(A, B, C, D, E, F, G, H), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1)))) ) ) ).
fof(dt_k16_partpr_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k16_partpr_2(A)) &  (v1_funct_2(k16_partpr_2(A), k2_zfmisc_1(k1_partpr_1(A), k2_partpr_2(A)), k2_partpr_2(A)) & m1_subset_1(k16_partpr_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k2_partpr_2(A)), k2_partpr_2(A))))) ) ) ) ).
fof(dt_k17_partpr_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v1_funct_1(k17_partpr_2(A, B, C)) & m1_subset_1(k17_partpr_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ).
fof(dt_k18_nomin_1, axiom,  (! [A, B, C] :  (v1_funct_1(k18_nomin_1(A, B, C)) & m1_subset_1(k18_nomin_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) ).
fof(dt_k18_partpr_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k18_partpr_2(A)) &  (v1_funct_2(k18_partpr_2(A), k1_partpr_1(A), k1_partpr_1(A)) & m1_subset_1(k18_partpr_2(A), k1_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A))))) ) ) ) ).
fof(dt_k19_partpr_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (v1_funct_1(k19_partpr_2(A, B)) & m1_subset_1(k19_partpr_2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ).
fof(dt_k1_binop_1, axiom, $true).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_nomin_3, axiom, $true).
fof(dt_k1_nomin_4, axiom, $true).
fof(dt_k1_nomin_5, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v1_funct_1(k1_nomin_5(A, B, C, D)) & m1_subset_1(k1_nomin_5(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ).
fof(dt_k1_nomin_6, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) )  =>  (v1_funct_1(k1_nomin_6(A, B, C, D, E, F)) & m1_subset_1(k1_nomin_6(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ).
fof(dt_k1_nomin_7, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (v1_funct_1(G) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) )  =>  (v1_funct_1(k1_nomin_7(A, B, C, D, E, F, G)) & m1_subset_1(k1_nomin_7(A, B, C, D, E, F, G), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ).
fof(dt_k1_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I] :  (v1_relat_1(k1_nomin_9(A, B, C, D, E, F, G, H, I)) &  (v1_funct_1(k1_nomin_9(A, B, C, D, E, F, G, H, I)) & v1_finseq_1(k1_nomin_9(A, B, C, D, E, F, G, H, I))) ) ) ).
fof(dt_k1_partpr_1, axiom, $true).
fof(dt_k1_partpr_2, axiom,  (! [A, B, C] :  (v1_funct_1(k1_partpr_2(A, B, C)) &  (v1_funct_2(k1_partpr_2(A, B, C), k2_zfmisc_1(k3_rfunct_3(A, B), k3_rfunct_3(B, C)), k3_rfunct_3(A, C)) & m1_subset_1(k1_partpr_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_rfunct_3(A, B), k3_rfunct_3(B, C)), k3_rfunct_3(A, C))))) ) ) ).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_xtuple_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k2_zfmisc_1(A, B))) )  => m1_subset_1(k2_domain_1(A, B, C), A)) ) ).
fof(dt_k2_nomin_4, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), k5_margrel1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), k5_margrel1)))) ) ) )  =>  (v1_funct_1(k2_nomin_4(A, B, C, D, E)) & m1_subset_1(k2_nomin_4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1)))) ) ) ).
fof(dt_k2_nomin_5, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (v1_funct_1(k2_nomin_5(A, B, C, D, E)) & m1_subset_1(k2_nomin_5(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ).
fof(dt_k2_partpr_1, axiom,  (! [A] :  (v1_funct_1(k2_partpr_1(A)) &  (v1_funct_2(k2_partpr_1(A), k1_partpr_1(A), k1_partpr_1(A)) & m1_subset_1(k2_partpr_1(A), k1_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A))))) ) ) ).
fof(dt_k2_partpr_2, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_nomin_1, axiom, $true).
fof(dt_k3_nomin_4, axiom,  (! [A, B, C, D, E] :  ( (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(B, B), B) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) )  =>  (v1_funct_1(k3_nomin_4(A, B, C, D, E)) & m1_subset_1(k3_nomin_4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) ) ).
fof(dt_k3_nomin_7, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  &  ( (v1_relat_1(D) & v1_funct_1(D))  & v7_ordinal1(E)) )  => m2_finseq_1(k3_nomin_7(A, B, C, D, E), k4_partfun1(k3_nomin_1(A, B), k3_nomin_1(A, B)))) ) ).
fof(dt_k3_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  (v1_relat_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J)) &  (v1_funct_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J)) & v1_finseq_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J))) ) ) ).
fof(dt_k3_partpr_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (v1_funct_1(k3_partpr_1(A, B)) & m1_subset_1(k3_partpr_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_rfunct_3, axiom,  (! [A, B] : m1_rfunct_3(k3_rfunct_3(A, B), A, B)) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_nomin_4, axiom,  (! [A] :  (v1_funct_1(k4_nomin_4(A)) &  (v1_funct_2(k4_nomin_4(A), k2_zfmisc_1(A, A), k5_margrel1) & m1_subset_1(k4_nomin_4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k5_margrel1)))) ) ) ).
fof(dt_k4_nomin_7, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  &  ( (v1_relat_1(D) & v1_funct_1(D))  & v7_ordinal1(E)) )  =>  (v1_funct_1(k4_nomin_7(A, B, C, D, E)) & m1_subset_1(k4_nomin_7(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) ) ).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_partfun1, axiom, $true).
fof(dt_k4_partpr_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k4_partpr_1(A)) &  (v1_funct_2(k4_partpr_1(A), k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A)) & m1_subset_1(k4_partpr_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A))))) ) ) ) ).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k5_finseq_1, axiom, $true).
fof(dt_k5_margrel1, axiom, $true).
fof(dt_k5_nomin_2, axiom,  (! [A, B, C] :  (v1_funct_1(k5_nomin_2(A, B, C)) &  (v1_funct_2(k5_nomin_2(A, B, C), k2_partpr_2(k3_nomin_1(A, B)), k2_partpr_2(k3_nomin_1(A, B))) & m1_subset_1(k5_nomin_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_partpr_2(k3_nomin_1(A, B)), k2_partpr_2(k3_nomin_1(A, B)))))) ) ) ).
fof(dt_k5_nomin_4, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, A) & m1_subset_1(D, A))  =>  (v1_funct_1(k5_nomin_4(A, B, C, D)) & m1_subset_1(k5_nomin_4(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1)))) ) ) ).
fof(dt_k5_nomin_5, axiom,  (! [A] :  (v1_funct_1(k5_nomin_5(A)) &  (v1_funct_2(k5_nomin_5(A), k2_zfmisc_1(A, A), A) & m1_subset_1(k5_nomin_5(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (v1_funct_1(k5_partpr_1(A, B, C)) & m1_subset_1(k5_partpr_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ).
fof(dt_k5_partpr_2, axiom,  (! [A] :  (v1_funct_1(k5_partpr_2(A)) &  (v1_funct_2(k5_partpr_2(A), k2_zfmisc_1(k2_partpr_2(A), k2_partpr_2(A)), k2_partpr_2(A)) & m1_subset_1(k5_partpr_2(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_partpr_2(A), k2_partpr_2(A)), k2_partpr_2(A))))) ) ) ).
fof(dt_k6_nomin_2, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B)))))  =>  (v1_funct_1(k6_nomin_2(A, B, C, D)) & m1_subset_1(k6_nomin_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) ) ).
fof(dt_k6_nomin_5, axiom,  (! [A] :  (v1_funct_1(k6_nomin_5(A)) &  (v1_funct_2(k6_nomin_5(A), k2_zfmisc_1(A, A), A) & m1_subset_1(k6_nomin_5(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ).
fof(dt_k6_nomin_9, axiom,  (! [A, B, C, D] :  ( (v1_int_1(A) &  (v1_int_1(B) &  (v1_int_1(C) & v1_int_1(D)) ) )  =>  (v1_funct_1(k6_nomin_9(A, B, C, D)) &  (v1_funct_2(k6_nomin_9(A, B, C, D), k4_ordinal1, k2_zfmisc_1(k4_numbers, k4_numbers)) & m1_subset_1(k6_nomin_9(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k2_zfmisc_1(k4_numbers, k4_numbers))))) ) ) ) ).
fof(dt_k6_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (v1_funct_1(k6_partpr_1(A, B, C)) & m1_subset_1(k6_partpr_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ).
fof(dt_k6_partpr_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_funct_1(k6_partpr_2(A, B, C)) & m1_subset_1(k6_partpr_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ).
fof(dt_k7_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ).
fof(dt_k7_nomin_5, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, A) & m1_subset_1(D, A))  =>  (v1_funct_1(k7_nomin_5(A, B, C, D)) & m1_subset_1(k7_nomin_5(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) ) ).
fof(dt_k7_nomin_9, axiom,  (! [A, B, C, D, E] :  ( (v1_int_1(A) &  (v1_int_1(B) &  (v1_int_1(C) &  (v1_int_1(D) & v7_ordinal1(E)) ) ) )  => m1_subset_1(k7_nomin_9(A, B, C, D, E), k4_numbers)) ) ).
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_k8_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H] :  (v1_relat_1(k8_aofa_a00(A, B, C, D, E, F, G, H)) &  (v1_funct_1(k8_aofa_a00(A, B, C, D, E, F, G, H)) & v1_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H))) ) ) ).
fof(dt_k8_finseq_4, axiom, $true).
fof(dt_k8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C))  => m1_subset_1(k8_nat_1(A, B, C), A)) ) ).
fof(dt_k8_nomin_5, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, A) & m1_subset_1(D, A))  =>  (v1_funct_1(k8_nomin_5(A, B, C, D)) & m1_subset_1(k8_nomin_5(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) ) ).
fof(dt_k8_nomin_9, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  =>  (v1_funct_1(k8_nomin_9(A, B, C)) & m1_subset_1(k8_nomin_9(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) ) ).
fof(dt_k8_partfun1, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_partfun1(A, B)) & v1_funct_1(C)) )  =>  (v1_funct_1(k8_partfun1(A, B, C, D)) & m1_subset_1(k8_partfun1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ).
fof(dt_k9_finseq_1, axiom,  (! [A] :  (v1_relat_1(k9_finseq_1(A)) & v1_funct_1(k9_finseq_1(A))) ) ).
fof(dt_k9_nomin_4, axiom,  (! [A] :  (v1_funct_1(k9_nomin_4(A)) &  (v1_funct_2(k9_nomin_4(A), k2_zfmisc_1(A, A), A) & m1_subset_1(k9_nomin_4(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ).
fof(dt_k9_nomin_8, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  =>  (v1_funct_1(k9_nomin_8(A, B, C, D)) & m1_subset_1(k9_nomin_8(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1)))) ) ) ).
fof(dt_k9_nomin_9, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  =>  (v1_funct_1(k9_nomin_9(A, B, C)) & m1_subset_1(k9_nomin_9(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) ) ) ).
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_nomin_1, axiom,  (! [A, B] :  (! [C] :  (m1_nomin_1(C, A, B) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ).
fof(dt_m1_rfunct_3, 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_nomin_1, axiom, $true).
fof(dt_m3_nomin_1, axiom,  (! [A, B] :  (! [C] :  (m3_nomin_1(C, A, B) =>  (v1_relat_1(C) &  (v1_funct_1(C) & m2_nomin_1(C, A, B)) ) ) ) ) ).
fof(existence_m1_finseq_1, axiom,  (! [A] :  (? [B] : m1_finseq_1(B, A)) ) ).
fof(existence_m1_nomin_1, axiom,  (! [A, B] :  (? [C] : m1_nomin_1(C, A, B)) ) ).
fof(existence_m1_rfunct_3, axiom,  (! [A, B] :  (? [C] : m1_rfunct_3(C, A, B)) ) ).
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_nomin_1, axiom,  (! [A, B] :  (? [C] : m2_nomin_1(C, A, B)) ) ).
fof(existence_m3_nomin_1, axiom,  (! [A, B] :  (? [C] : m3_nomin_1(C, A, B)) ) ).
fof(fc10_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k2_zfmisc_1(A, B))) ) ) ).
fof(fc10_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(fc11_finseq_1, axiom,  (! [A, B, C] : v1_finseq_1(k11_finseq_1(A, B, C))) ).
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(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(A))) ) ) ).
fof(fc12_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v3_valued_0(A) & v4_partfun3(A)) ) ) )  & v7_ordinal1(B))  =>  ~ (v3_xxreal_0(k1_funct_1(A, B))) ) ) ).
fof(fc12_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v9_ordinal1(A))  & v1_relat_1(B))  =>  (v1_relat_1(k3_relat_1(B, A)) & v9_ordinal1(k3_relat_1(B, 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(fc13_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(A, B))) ) ) ).
fof(fc13_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) &  (v3_valued_0(A) & v3_partfun3(A)) ) ) )  & v7_ordinal1(B))  =>  ~ (v2_xxreal_0(k1_funct_1(A, B))) ) ) ).
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_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, A))) ) ) ).
fof(fc14_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k1_tarski(A))) ) ).
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(fc16_card_1, axiom,  (! [A] : v3_card_1(k1_tarski(A), 1)) ).
fof(fc16_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v3_finseq_1(k1_tarski(A))) ) ).
fof(fc17_aofa_a00, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v2_relat_1(k5_finseq_1(A))) ) ).
fof(fc17_funct_1, axiom,  (! [A, B, C] :  ( (v4_funct_1(A) &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_1(C, B)) & v1_funct_1(k1_funct_1(C, B))) ) ) ).
fof(fc18_aofa_a00, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) )  => v2_relat_1(k11_finseq_1(A, B, C))) ) ).
fof(fc1_funct_1, axiom,  (! [A, B] : v1_funct_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_nomin_4, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(k1_nomin_4(A, B)))  & v4_funct_1(k1_nomin_4(A, B))) ) ).
fof(fc1_nomin_7, axiom,  (! [A, B, C] :  (m1_nomin_1(C, A, B) => v1_nomin_7(k5_finseq_1(C), A, B)) ) ).
fof(fc1_nomin_8, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  &  (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) )  =>  (v1_funct_1(k9_nomin_8(A, B, C, D)) & v1_partfun1(k9_nomin_8(A, B, C, D), k3_nomin_1(A, B))) ) ) ).
fof(fc1_partpr_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(k2_partpr_2(A)))  & v4_funct_1(k2_partpr_2(A))) ) ).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc1_xtuple_0, axiom,  (! [A, B] : v1_xtuple_0(k4_tarski(A, B))) ).
fof(fc20_newton04, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v3_valued_0(B) & v4_partfun3(B)) ) ) )  =>  ~ (v3_xxreal_0(k1_funct_1(B, A))) ) ) ).
fof(fc21_newton04, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) &  (v3_valued_0(B) & v3_partfun3(B)) ) ) )  =>  ~ (v2_xxreal_0(k1_funct_1(B, A))) ) ) ).
fof(fc22_newton04, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, C)) &  (v5_relat_1(k7_finseq_1(B, C), A) &  (v1_funct_1(k7_finseq_1(B, C)) & v1_finseq_1(k7_finseq_1(B, C))) ) ) ) ) ).
fof(fc23_finseq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k5_finseq_1(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_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  ( ~ (v1_xboole_0(k7_finseq_1(A, B)))  & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
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_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, A)) &  (v1_funct_1(k7_finseq_1(B, A)) &  ( ~ (v1_xboole_0(k7_finseq_1(B, A)))  & v1_finseq_1(k7_finseq_1(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(fc27_finseq_1, axiom,  (! [A, B, C] :  ~ (v1_xboole_0(k11_finseq_1(A, B, C))) ) ).
fof(fc2_finseq_4, axiom,  (! [A, B, C, D, E] :  (v1_relat_1(k8_finseq_4(A, B, C, D, E)) &  (v1_funct_1(k8_finseq_4(A, B, C, D, E)) &  ~ (v1_xboole_0(k8_finseq_4(A, B, C, D, E))) ) ) ) ).
fof(fc2_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc2_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_partpr_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) &  (v1_funct_2(C, k1_partpr_1(A), k1_partpr_1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A))))) ) )  =>  (v1_relat_1(k1_funct_1(C, B)) & v1_funct_1(k1_funct_1(C, B))) ) ) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc32_finseq_1, axiom,  (! [A] : v3_card_1(k5_finseq_1(A), 1)) ).
fof(fc34_finseq_1, axiom,  (! [A, B, C] : v3_card_1(k11_finseq_1(A, B, C), 3)) ).
fof(fc35_finseq_1, axiom, v4_finseq_1(k1_tarski(k1_xboole_0))).
fof(fc38_finseq_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, B) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(C, D)) &  (v1_funct_1(k7_finseq_1(C, D)) &  (v3_card_1(k7_finseq_1(C, D), k2_xcmplx_0(A, B)) & v1_finseq_1(k7_finseq_1(C, D))) ) ) ) ) ).
fof(fc39_finseq_1, axiom,  (! [A, B, C] :  ( (v4_finseq_1(A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) ) )  => v1_finseq_1(k1_funct_1(B, C))) ) ).
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_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I] :  (v1_relat_1(k1_nomin_9(A, B, C, D, E, F, G, H, I)) &  (v1_funct_1(k1_nomin_9(A, B, C, D, E, F, G, H, I)) &  (v3_card_1(k1_nomin_9(A, B, C, D, E, F, G, H, I), 9) & v1_finseq_1(k1_nomin_9(A, B, C, D, E, F, G, H, I))) ) ) ) ).
fof(fc3_partpr_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k1_partpr_1(A), k1_partpr_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A))))) )  & m1_subset_1(C, k1_partpr_1(A)))  =>  (v1_relat_1(k1_funct_1(B, C)) & v1_funct_1(k1_funct_1(B, C))) ) ) ).
fof(fc4_finseq_4, axiom,  (! [A, B, C, D, E] : v1_finseq_1(k8_finseq_4(A, B, C, D, E))) ).
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_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  (v1_relat_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J)) &  (v1_funct_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J)) &  (v3_card_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J), 10) & v1_finseq_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J))) ) ) ) ).
fof(fc4_numbers, axiom,  ~ (v1_xboole_0(k4_numbers)) ).
fof(fc4_partpr_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A))))) ) ) )  =>  (v1_relat_1(k1_binop_1(D, B, C)) & v1_funct_1(k1_binop_1(D, B, C))) ) ) ).
fof(fc54_finseq_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, C)) &  (v5_relat_1(k7_finseq_1(B, C), A) &  (v1_funct_1(k7_finseq_1(B, C)) & v1_finseq_1(k7_finseq_1(B, C))) ) ) ) ) ).
fof(fc55_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v6_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v6_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v6_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc56_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v5_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc58_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v3_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc59_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc5_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H] :  (v1_relat_1(k8_aofa_a00(A, B, C, D, E, F, G, H)) &  (v1_funct_1(k8_aofa_a00(A, B, C, D, E, F, G, H)) &  (v3_card_1(k8_aofa_a00(A, B, C, D, E, F, G, H), 8) & v1_finseq_1(k8_aofa_a00(A, B, C, D, E, F, G, H))) ) ) ) ).
fof(fc5_nomin_1, axiom,  (! [A, B] :  ~ (v1_xboole_0(k3_nomin_1(A, B))) ) ).
fof(fc5_nomin_9, axiom,  (! [A, B, C, D, E] :  ( (v1_int_1(A) &  (v1_int_1(B) &  (v1_int_1(C) &  (v1_int_1(D) & v7_ordinal1(E)) ) ) )  =>  (v1_relat_1(k12_nomin_9(A, B, C, D, E)) &  (v1_funct_1(k12_nomin_9(A, B, C, D, E)) &  (v3_card_1(k12_nomin_9(A, B, C, D, E), 10) & v1_finseq_1(k12_nomin_9(A, B, C, D, E))) ) ) ) ) ).
fof(fc5_partpr_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A))))) )  &  (m1_subset_1(C, k1_partpr_1(A)) & m1_subset_1(D, k1_partpr_1(A))) )  =>  (v1_relat_1(k1_binop_1(B, C, D)) & v1_funct_1(k1_binop_1(B, C, D))) ) ) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc60_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v2_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc61_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v6_valued_0(k5_finseq_1(A))) ) ).
fof(fc62_finseq_1, axiom,  (! [A] :  (v1_int_1(A) => v5_valued_0(k5_finseq_1(A))) ) ).
fof(fc64_finseq_1, axiom,  (! [A] :  (v1_xreal_0(A) => v3_valued_0(k5_finseq_1(A))) ) ).
fof(fc65_finseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_valued_0(k5_finseq_1(A))) ) ).
fof(fc66_finseq_1, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_valued_0(k5_finseq_1(A))) ) ).
fof(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_finseq_1, axiom,  (! [A] :  (v1_relat_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A))) ) ).
fof(fc6_finseq_4, axiom,  (! [A, B, C, D, E] : v3_card_1(k8_finseq_4(A, B, C, D, E), 5)) ).
fof(fc6_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H] :  ( (v1_int_1(C) &  (v1_int_1(D) &  (v1_int_1(E) &  (v1_int_1(F) &  (v7_ordinal1(G) &  (v1_relat_1(H) &  (v1_funct_1(H) & v1_finseq_1(H)) ) ) ) ) ) )  =>  (v1_funct_1(k13_nomin_9(A, B, C, D, E, F, G, H)) & v1_partfun1(k13_nomin_9(A, B, C, D, E, F, G, H), k3_nomin_1(A, B))) ) ) ).
fof(fc6_numbers, axiom,  ~ (v1_finset_1(k4_numbers)) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_partpr_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A)), k1_partpr_1(A))))) )  & m1_subset_1(C, k2_zfmisc_1(k1_partpr_1(A), k1_partpr_1(A))))  =>  (v1_relat_1(k1_funct_1(B, C)) & v1_funct_1(k1_funct_1(B, C))) ) ) ).
fof(fc6_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k3_xcmplx_0(A, B))) ) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_finseq_1, axiom,  (! [A] : v1_finseq_1(k5_finseq_1(A))) ).
fof(fc7_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_funct_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc7_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  &  (v1_int_1(D) &  (v1_int_1(E) &  (v1_int_1(F) &  (v1_int_1(G) & v7_ordinal1(H)) ) ) ) )  =>  (v1_funct_1(k15_nomin_9(A, B, C, D, E, F, G, H)) & v1_partfun1(k15_nomin_9(A, B, C, D, E, F, G, H), k3_nomin_1(A, B))) ) ) ).
fof(fc7_partpr_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_partpr_2(A), k2_partpr_2(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_partpr_2(A), k2_partpr_2(A))))) ) )  =>  (v1_relat_1(k1_funct_1(C, B)) & v1_funct_1(k1_funct_1(C, B))) ) ) ).
fof(fc8_int_1, axiom,  (! [A, B] :  ( (v2_int_1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) &  (v4_relat_1(k3_relat_1(A, C), k4_ordinal1) &  (v5_relat_1(k3_relat_1(A, C), B) & v1_funct_1(k3_relat_1(A, C))) ) ) ) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_finseq_1, axiom,  (! [A, B, C] :  (v1_relat_1(k11_finseq_1(A, B, C)) & v1_funct_1(k11_finseq_1(A, B, C))) ) ).
fof(fc9_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) & v1_partfun1(k3_relat_1(A, C), k4_ordinal1)) ) ) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
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(fraenkel_a_2_0_nomin_4, axiom,  (! [A, B, C] :  (r2_hidden(A, a_2_0_nomin_4(B, C)) <=>  (? [D] :  (m3_nomin_1(D, B, C) & A=D) ) ) ) ).
fof(fraenkel_a_2_1_nomin_1, axiom,  (! [A, B, C] :  (r2_hidden(A, a_2_1_nomin_1(B, C)) <=>  (? [D] :  (m2_nomin_1(D, B, C) & A=D) ) ) ) ).
fof(idempotence_k5_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k5_partpr_1(A, B, B)=B) ) ).
fof(idempotence_k6_partpr_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k6_partpr_1(A, B, B)=B) ) ).
fof(involutiveness_k3_partpr_1, axiom,  (! [A, B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  => k3_partpr_1(A, k3_partpr_1(A, B))=B) ) ).
fof(rc10_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_card_1(B)) ) ) ) ).
fof(rc10_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc14_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc15_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc16_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v6_valued_0(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc1_card_1, axiom,  (? [A] : v1_card_1(A)) ).
fof(rc1_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(rc1_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(A)) ) ) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_newton04, axiom,  (? [A] :  (v1_xcmplx_0(A) & v1_xreal_0(A)) ) ).
fof(rc1_nomin_1, 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_finset_1(C)) ) ) ) ) ) ) ).
fof(rc1_nomin_4, axiom,  (? [A] : v1_nomin_4(A)) ).
fof(rc1_nomin_7, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) & v1_nomin_7(C, A, B)) ) ) ) ) ) ) ) ).
fof(rc1_nomin_8, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_partpr_2, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_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_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xtuple_0, axiom,  (? [A] : v1_xtuple_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ).
fof(rc2_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ).
fof(rc2_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_newton04, axiom,  (? [A] :  (v1_xcmplx_0(A) &  ~ (v1_xreal_0(A)) ) ) ).
fof(rc2_nomin_1, axiom,  (! [A, B] :  (? [C] :  (m2_nomin_1(C, A, B) &  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ).
fof(rc2_nomin_8, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v7_ordinal1(B))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, A) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_card_1(C, B) &  (v1_finseq_1(C) & v2_finseq_1(C)) ) ) ) ) ) ) ) ) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_xboole_0(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(rc3_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_newton04, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_xboole_0(B) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, 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_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
fof(rc4_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc4_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ).
fof(rc4_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(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_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_subset_1(B, 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_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc5_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_card_1(A)) ) ) ) ) ) ).
fof(rc5_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_finseq_1(A)) ) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(rc5_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_finset_1(A) & v1_card_1(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_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
fof(rc6_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_finset_1(B)) ) ) ) ) ).
fof(rc6_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc6_funct_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_funct_1(C)) ) ) ) ) ).
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(rc7_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(rc7_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(A)) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) ) ) ) ).
fof(rc8_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v3_card_1(B, 1)) ) ) ) ).
fof(rc9_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc9_funct_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) ) ) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rd10_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I] : k1_funct_1(k1_nomin_9(A, B, C, D, E, F, G, H, I), 9)=I) ).
fof(rd11_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I, J] : k1_funct_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J), 1)=A) ).
fof(rd12_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I, J] : k1_funct_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J), 2)=B) ).
fof(rd13_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I, J] : k1_funct_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J), 3)=C) ).
fof(rd14_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H] : k1_funct_1(k8_aofa_a00(A, B, C, D, E, F, G, H), 1)=A) ).
fof(rd14_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I, J] : k1_funct_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J), 4)=D) ).
fof(rd15_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H] : k1_funct_1(k8_aofa_a00(A, B, C, D, E, F, G, H), 2)=B) ).
fof(rd15_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I, J] : k1_funct_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J), 5)=E) ).
fof(rd16_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H] : k1_funct_1(k8_aofa_a00(A, B, C, D, E, F, G, H), 3)=C) ).
fof(rd16_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I, J] : k1_funct_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J), 6)=F) ).
fof(rd17_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H] : k1_funct_1(k8_aofa_a00(A, B, C, D, E, F, G, H), 4)=D) ).
fof(rd17_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I, J] : k1_funct_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J), 7)=G) ).
fof(rd18_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H] : k1_funct_1(k8_aofa_a00(A, B, C, D, E, F, G, H), 5)=E) ).
fof(rd18_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I, J] : k1_funct_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J), 8)=H) ).
fof(rd19_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H] : k1_funct_1(k8_aofa_a00(A, B, C, D, E, F, G, H), 6)=F) ).
fof(rd19_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I, J] : k1_funct_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J), 9)=I) ).
fof(rd1_finseq_1, axiom,  (! [A] : k1_funct_1(k9_finseq_1(A), 1)=A) ).
fof(rd1_xtuple_0, axiom,  (! [A, B] : k1_xtuple_0(k4_tarski(A, B))=A) ).
fof(rd20_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H] : k1_funct_1(k8_aofa_a00(A, B, C, D, E, F, G, H), 7)=G) ).
fof(rd20_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I, J] : k1_funct_1(k3_nomin_9(A, B, C, D, E, F, G, H, I, J), 10)=J) ).
fof(rd21_aofa_a00, axiom,  (! [A, B, C, D, E, F, G, H] : k1_funct_1(k8_aofa_a00(A, B, C, D, E, F, G, H), 8)=H) ).
fof(rd2_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I] : k1_funct_1(k1_nomin_9(A, B, C, D, E, F, G, H, I), 1)=A) ).
fof(rd3_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I] : k1_funct_1(k1_nomin_9(A, B, C, D, E, F, G, H, I), 2)=B) ).
fof(rd4_finseq_1, axiom,  (! [A, B, C] : k1_funct_1(k11_finseq_1(A, B, C), 1)=A) ).
fof(rd4_newton04, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  => k1_funct_1(k7_finseq_1(k9_finseq_1(A), B), 1)=A) ) ).
fof(rd4_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I] : k1_funct_1(k1_nomin_9(A, B, C, D, E, F, G, H, I), 3)=C) ).
fof(rd5_finseq_1, axiom,  (! [A, B, C] : k1_funct_1(k11_finseq_1(A, B, C), 2)=B) ).
fof(rd5_finseq_4, axiom,  (! [A, B, C, D, E] : k1_funct_1(k8_finseq_4(A, B, C, D, E), 1)=A) ).
fof(rd5_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I] : k1_funct_1(k1_nomin_9(A, B, C, D, E, F, G, H, I), 4)=D) ).
fof(rd6_finseq_1, axiom,  (! [A, B, C] : k1_funct_1(k11_finseq_1(A, B, C), 3)=C) ).
fof(rd6_finseq_4, axiom,  (! [A, B, C, D, E] : k1_funct_1(k8_finseq_4(A, B, C, D, E), 2)=B) ).
fof(rd6_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I] : k1_funct_1(k1_nomin_9(A, B, C, D, E, F, G, H, I), 5)=E) ).
fof(rd7_finseq_4, axiom,  (! [A, B, C, D, E] : k1_funct_1(k8_finseq_4(A, B, C, D, E), 3)=C) ).
fof(rd7_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I] : k1_funct_1(k1_nomin_9(A, B, C, D, E, F, G, H, I), 6)=F) ).
fof(rd8_finseq_4, axiom,  (! [A, B, C, D, E] : k1_funct_1(k8_finseq_4(A, B, C, D, E), 4)=D) ).
fof(rd8_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I] : k1_funct_1(k1_nomin_9(A, B, C, D, E, F, G, H, I), 7)=G) ).
fof(rd9_finseq_4, axiom,  (! [A, B, C, D, E] : k1_funct_1(k8_finseq_4(A, B, C, D, E), 5)=E) ).
fof(rd9_newton04, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k1_funct_1(A, k5_numbers)=k5_numbers) ) ).
fof(rd9_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I] : k1_funct_1(k1_nomin_9(A, B, C, D, E, F, G, H, I), 8)=H) ).
fof(redefinition_k2_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k2_zfmisc_1(A, B))) )  => k2_domain_1(A, B, C)=k1_xtuple_0(C)) ) ).
fof(redefinition_k3_rfunct_3, axiom,  (! [A, B] : k3_rfunct_3(A, B)=k4_partfun1(A, B)) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C))  => k8_nat_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(redefinition_k8_partfun1, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(C) &  (v5_relat_1(C, k4_partfun1(A, B)) & v1_funct_1(C)) )  => k8_partfun1(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(redefinition_k9_finseq_1, axiom,  (! [A] : k9_finseq_1(A)=k5_finseq_1(A)) ).
fof(redefinition_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) <=> m1_finseq_1(B, A)) ) ) ).
fof(redefinition_m3_nomin_1, axiom,  (! [A, B] :  (! [C] :  (m3_nomin_1(C, A, B) <=> m1_nomin_1(C, A, 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_r10, axiom, r1_xxreal_0(0, 10)).
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_r4, axiom, r1_xxreal_0(0, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r5, axiom, r1_xxreal_0(0, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r6, axiom, r1_xxreal_0(0, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r7, axiom, r1_xxreal_0(0, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r8, axiom, r1_xxreal_0(0, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r9, axiom, r1_xxreal_0(0, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r0, axiom,  ~ (r1_xxreal_0(10, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r1, axiom,  ~ (r1_xxreal_0(10, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r10, axiom, r1_xxreal_0(10, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r2, axiom,  ~ (r1_xxreal_0(10, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r3, axiom,  ~ (r1_xxreal_0(10, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r4, axiom,  ~ (r1_xxreal_0(10, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r5, axiom,  ~ (r1_xxreal_0(10, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r6, axiom,  ~ (r1_xxreal_0(10, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r7, axiom,  ~ (r1_xxreal_0(10, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r8, axiom,  ~ (r1_xxreal_0(10, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r9, axiom,  ~ (r1_xxreal_0(10, 9)) ).
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_r10, axiom, r1_xxreal_0(1, 10)).
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_r4, axiom, r1_xxreal_0(1, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r5, axiom, r1_xxreal_0(1, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r6, axiom, r1_xxreal_0(1, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r7, axiom, r1_xxreal_0(1, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r8, axiom, r1_xxreal_0(1, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r9, axiom, r1_xxreal_0(1, 9)).
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_r10, axiom, r1_xxreal_0(2, 10)).
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_r4, axiom, r1_xxreal_0(2, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r5, axiom, r1_xxreal_0(2, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r6, axiom, r1_xxreal_0(2, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r7, axiom, r1_xxreal_0(2, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r8, axiom, r1_xxreal_0(2, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r9, axiom, r1_xxreal_0(2, 9)).
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_r10, axiom, r1_xxreal_0(3, 10)).
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_r4, axiom, r1_xxreal_0(3, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r5, axiom, r1_xxreal_0(3, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r6, axiom, r1_xxreal_0(3, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r7, axiom, r1_xxreal_0(3, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r8, axiom, r1_xxreal_0(3, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r9, axiom, r1_xxreal_0(3, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r0, axiom,  ~ (r1_xxreal_0(4, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r1, axiom,  ~ (r1_xxreal_0(4, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r10, axiom, r1_xxreal_0(4, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r2, axiom,  ~ (r1_xxreal_0(4, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r3, axiom,  ~ (r1_xxreal_0(4, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r4, axiom, r1_xxreal_0(4, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r5, axiom, r1_xxreal_0(4, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r6, axiom, r1_xxreal_0(4, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r7, axiom, r1_xxreal_0(4, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r8, axiom, r1_xxreal_0(4, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r9, axiom, r1_xxreal_0(4, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r0, axiom,  ~ (r1_xxreal_0(5, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r1, axiom,  ~ (r1_xxreal_0(5, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r10, axiom, r1_xxreal_0(5, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r2, axiom,  ~ (r1_xxreal_0(5, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r3, axiom,  ~ (r1_xxreal_0(5, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r4, axiom,  ~ (r1_xxreal_0(5, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r5, axiom, r1_xxreal_0(5, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r6, axiom, r1_xxreal_0(5, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r7, axiom, r1_xxreal_0(5, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r8, axiom, r1_xxreal_0(5, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r9, axiom, r1_xxreal_0(5, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r0, axiom,  ~ (r1_xxreal_0(6, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r1, axiom,  ~ (r1_xxreal_0(6, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r10, axiom, r1_xxreal_0(6, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r2, axiom,  ~ (r1_xxreal_0(6, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r3, axiom,  ~ (r1_xxreal_0(6, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r4, axiom,  ~ (r1_xxreal_0(6, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r5, axiom,  ~ (r1_xxreal_0(6, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r6, axiom, r1_xxreal_0(6, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r7, axiom, r1_xxreal_0(6, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r8, axiom, r1_xxreal_0(6, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r9, axiom, r1_xxreal_0(6, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r0, axiom,  ~ (r1_xxreal_0(7, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r1, axiom,  ~ (r1_xxreal_0(7, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r10, axiom, r1_xxreal_0(7, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r2, axiom,  ~ (r1_xxreal_0(7, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r3, axiom,  ~ (r1_xxreal_0(7, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r4, axiom,  ~ (r1_xxreal_0(7, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r5, axiom,  ~ (r1_xxreal_0(7, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r6, axiom,  ~ (r1_xxreal_0(7, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r7, axiom, r1_xxreal_0(7, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r8, axiom, r1_xxreal_0(7, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r9, axiom, r1_xxreal_0(7, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r0, axiom,  ~ (r1_xxreal_0(8, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r1, axiom,  ~ (r1_xxreal_0(8, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r10, axiom, r1_xxreal_0(8, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r2, axiom,  ~ (r1_xxreal_0(8, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r3, axiom,  ~ (r1_xxreal_0(8, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r4, axiom,  ~ (r1_xxreal_0(8, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r5, axiom,  ~ (r1_xxreal_0(8, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r6, axiom,  ~ (r1_xxreal_0(8, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r7, axiom,  ~ (r1_xxreal_0(8, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r8, axiom, r1_xxreal_0(8, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r9, axiom, r1_xxreal_0(8, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r0, axiom,  ~ (r1_xxreal_0(9, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r1, axiom,  ~ (r1_xxreal_0(9, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r10, axiom, r1_xxreal_0(9, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r2, axiom,  ~ (r1_xxreal_0(9, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r3, axiom,  ~ (r1_xxreal_0(9, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r4, axiom,  ~ (r1_xxreal_0(9, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r5, axiom,  ~ (r1_xxreal_0(9, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r6, axiom,  ~ (r1_xxreal_0(9, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r7, axiom,  ~ (r1_xxreal_0(9, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r8, axiom,  ~ (r1_xxreal_0(9, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r9, axiom, r1_xxreal_0(9, 9)).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r10_r10, axiom, k2_xcmplx_0(0, 10)=10).
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_r4_r4, axiom, k2_xcmplx_0(0, 4)=4).
fof(rqRealAdd__k2_xcmplx_0__r0_r5_r5, axiom, k2_xcmplx_0(0, 5)=5).
fof(rqRealAdd__k2_xcmplx_0__r0_r6_r6, axiom, k2_xcmplx_0(0, 6)=6).
fof(rqRealAdd__k2_xcmplx_0__r0_r7_r7, axiom, k2_xcmplx_0(0, 7)=7).
fof(rqRealAdd__k2_xcmplx_0__r0_r8_r8, axiom, k2_xcmplx_0(0, 8)=8).
fof(rqRealAdd__k2_xcmplx_0__r0_r9_r9, axiom, k2_xcmplx_0(0, 9)=9).
fof(rqRealAdd__k2_xcmplx_0__r10_r0_r10, axiom, k2_xcmplx_0(10, 0)=10).
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_r3_r4, axiom, k2_xcmplx_0(1, 3)=4).
fof(rqRealAdd__k2_xcmplx_0__r1_r4_r5, axiom, k2_xcmplx_0(1, 4)=5).
fof(rqRealAdd__k2_xcmplx_0__r1_r5_r6, axiom, k2_xcmplx_0(1, 5)=6).
fof(rqRealAdd__k2_xcmplx_0__r1_r6_r7, axiom, k2_xcmplx_0(1, 6)=7).
fof(rqRealAdd__k2_xcmplx_0__r1_r7_r8, axiom, k2_xcmplx_0(1, 7)=8).
fof(rqRealAdd__k2_xcmplx_0__r1_r8_r9, axiom, k2_xcmplx_0(1, 8)=9).
fof(rqRealAdd__k2_xcmplx_0__r1_r9_r10, axiom, k2_xcmplx_0(1, 9)=10).
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_r2_r4, axiom, k2_xcmplx_0(2, 2)=4).
fof(rqRealAdd__k2_xcmplx_0__r2_r3_r5, axiom, k2_xcmplx_0(2, 3)=5).
fof(rqRealAdd__k2_xcmplx_0__r2_r4_r6, axiom, k2_xcmplx_0(2, 4)=6).
fof(rqRealAdd__k2_xcmplx_0__r2_r5_r7, axiom, k2_xcmplx_0(2, 5)=7).
fof(rqRealAdd__k2_xcmplx_0__r2_r6_r8, axiom, k2_xcmplx_0(2, 6)=8).
fof(rqRealAdd__k2_xcmplx_0__r2_r7_r9, axiom, k2_xcmplx_0(2, 7)=9).
fof(rqRealAdd__k2_xcmplx_0__r2_r8_r10, axiom, k2_xcmplx_0(2, 8)=10).
fof(rqRealAdd__k2_xcmplx_0__r3_r0_r3, axiom, k2_xcmplx_0(3, 0)=3).
fof(rqRealAdd__k2_xcmplx_0__r3_r1_r4, axiom, k2_xcmplx_0(3, 1)=4).
fof(rqRealAdd__k2_xcmplx_0__r3_r2_r5, axiom, k2_xcmplx_0(3, 2)=5).
fof(rqRealAdd__k2_xcmplx_0__r3_r3_r6, axiom, k2_xcmplx_0(3, 3)=6).
fof(rqRealAdd__k2_xcmplx_0__r3_r4_r7, axiom, k2_xcmplx_0(3, 4)=7).
fof(rqRealAdd__k2_xcmplx_0__r3_r5_r8, axiom, k2_xcmplx_0(3, 5)=8).
fof(rqRealAdd__k2_xcmplx_0__r3_r6_r9, axiom, k2_xcmplx_0(3, 6)=9).
fof(rqRealAdd__k2_xcmplx_0__r3_r7_r10, axiom, k2_xcmplx_0(3, 7)=10).
fof(rqRealAdd__k2_xcmplx_0__r4_r0_r4, axiom, k2_xcmplx_0(4, 0)=4).
fof(rqRealAdd__k2_xcmplx_0__r4_r1_r5, axiom, k2_xcmplx_0(4, 1)=5).
fof(rqRealAdd__k2_xcmplx_0__r4_r2_r6, axiom, k2_xcmplx_0(4, 2)=6).
fof(rqRealAdd__k2_xcmplx_0__r4_r3_r7, axiom, k2_xcmplx_0(4, 3)=7).
fof(rqRealAdd__k2_xcmplx_0__r4_r4_r8, axiom, k2_xcmplx_0(4, 4)=8).
fof(rqRealAdd__k2_xcmplx_0__r4_r5_r9, axiom, k2_xcmplx_0(4, 5)=9).
fof(rqRealAdd__k2_xcmplx_0__r4_r6_r10, axiom, k2_xcmplx_0(4, 6)=10).
fof(rqRealAdd__k2_xcmplx_0__r5_r0_r5, axiom, k2_xcmplx_0(5, 0)=5).
fof(rqRealAdd__k2_xcmplx_0__r5_r1_r6, axiom, k2_xcmplx_0(5, 1)=6).
fof(rqRealAdd__k2_xcmplx_0__r5_r2_r7, axiom, k2_xcmplx_0(5, 2)=7).
fof(rqRealAdd__k2_xcmplx_0__r5_r3_r8, axiom, k2_xcmplx_0(5, 3)=8).
fof(rqRealAdd__k2_xcmplx_0__r5_r4_r9, axiom, k2_xcmplx_0(5, 4)=9).
fof(rqRealAdd__k2_xcmplx_0__r5_r5_r10, axiom, k2_xcmplx_0(5, 5)=10).
fof(rqRealAdd__k2_xcmplx_0__r6_r0_r6, axiom, k2_xcmplx_0(6, 0)=6).
fof(rqRealAdd__k2_xcmplx_0__r6_r1_r7, axiom, k2_xcmplx_0(6, 1)=7).
fof(rqRealAdd__k2_xcmplx_0__r6_r2_r8, axiom, k2_xcmplx_0(6, 2)=8).
fof(rqRealAdd__k2_xcmplx_0__r6_r3_r9, axiom, k2_xcmplx_0(6, 3)=9).
fof(rqRealAdd__k2_xcmplx_0__r6_r4_r10, axiom, k2_xcmplx_0(6, 4)=10).
fof(rqRealAdd__k2_xcmplx_0__r7_r0_r7, axiom, k2_xcmplx_0(7, 0)=7).
fof(rqRealAdd__k2_xcmplx_0__r7_r1_r8, axiom, k2_xcmplx_0(7, 1)=8).
fof(rqRealAdd__k2_xcmplx_0__r7_r2_r9, axiom, k2_xcmplx_0(7, 2)=9).
fof(rqRealAdd__k2_xcmplx_0__r7_r3_r10, axiom, k2_xcmplx_0(7, 3)=10).
fof(rqRealAdd__k2_xcmplx_0__r8_r0_r8, axiom, k2_xcmplx_0(8, 0)=8).
fof(rqRealAdd__k2_xcmplx_0__r8_r1_r9, axiom, k2_xcmplx_0(8, 1)=9).
fof(rqRealAdd__k2_xcmplx_0__r8_r2_r10, axiom, k2_xcmplx_0(8, 2)=10).
fof(rqRealAdd__k2_xcmplx_0__r9_r0_r9, axiom, k2_xcmplx_0(9, 0)=9).
fof(rqRealAdd__k2_xcmplx_0__r9_r1_r10, axiom, k2_xcmplx_0(9, 1)=10).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r10_r0, axiom, k3_xcmplx_0(0, 10)=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_r4_r0, axiom, k3_xcmplx_0(0, 4)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r5_r0, axiom, k3_xcmplx_0(0, 5)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r6_r0, axiom, k3_xcmplx_0(0, 6)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r7_r0, axiom, k3_xcmplx_0(0, 7)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r8_r0, axiom, k3_xcmplx_0(0, 8)=0).
fof(rqRealMult__k3_xcmplx_0__r10_r0_r0, axiom, k3_xcmplx_0(10, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r10_r1_r10, axiom, k3_xcmplx_0(10, 1)=10).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r10_r10, axiom, k3_xcmplx_0(1, 10)=10).
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_r4_r4, axiom, k3_xcmplx_0(1, 4)=4).
fof(rqRealMult__k3_xcmplx_0__r1_r5_r5, axiom, k3_xcmplx_0(1, 5)=5).
fof(rqRealMult__k3_xcmplx_0__r1_r6_r6, axiom, k3_xcmplx_0(1, 6)=6).
fof(rqRealMult__k3_xcmplx_0__r1_r7_r7, axiom, k3_xcmplx_0(1, 7)=7).
fof(rqRealMult__k3_xcmplx_0__r1_r8_r8, axiom, k3_xcmplx_0(1, 8)=8).
fof(rqRealMult__k3_xcmplx_0__r1_r9_r9, axiom, k3_xcmplx_0(1, 9)=9).
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_r2_r4, axiom, k3_xcmplx_0(2, 2)=4).
fof(rqRealMult__k3_xcmplx_0__r2_r3_r6, axiom, k3_xcmplx_0(2, 3)=6).
fof(rqRealMult__k3_xcmplx_0__r2_r4_r8, axiom, k3_xcmplx_0(2, 4)=8).
fof(rqRealMult__k3_xcmplx_0__r2_r5_r10, axiom, k3_xcmplx_0(2, 5)=10).
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_r2_r6, axiom, k3_xcmplx_0(3, 2)=6).
fof(rqRealMult__k3_xcmplx_0__r3_r3_r9, axiom, k3_xcmplx_0(3, 3)=9).
fof(rqRealMult__k3_xcmplx_0__r4_r0_r0, axiom, k3_xcmplx_0(4, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r4_r1_r4, axiom, k3_xcmplx_0(4, 1)=4).
fof(rqRealMult__k3_xcmplx_0__r4_r2_r8, axiom, k3_xcmplx_0(4, 2)=8).
fof(rqRealMult__k3_xcmplx_0__r5_r0_r0, axiom, k3_xcmplx_0(5, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r5_r1_r5, axiom, k3_xcmplx_0(5, 1)=5).
fof(rqRealMult__k3_xcmplx_0__r5_r2_r10, axiom, k3_xcmplx_0(5, 2)=10).
fof(rqRealMult__k3_xcmplx_0__r6_r0_r0, axiom, k3_xcmplx_0(6, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r6_r1_r6, axiom, k3_xcmplx_0(6, 1)=6).
fof(rqRealMult__k3_xcmplx_0__r7_r0_r0, axiom, k3_xcmplx_0(7, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r7_r1_r7, axiom, k3_xcmplx_0(7, 1)=7).
fof(rqRealMult__k3_xcmplx_0__r8_r0_r0, axiom, k3_xcmplx_0(8, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r8_r1_r8, axiom, k3_xcmplx_0(8, 1)=8).
fof(rqRealMult__k3_xcmplx_0__r9_r1_r9, axiom, k3_xcmplx_0(9, 1)=9).
fof(spc0_boole, axiom, v1_xboole_0(0)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc10_boole, axiom,  ~ (v1_xboole_0(10)) ).
fof(spc10_numerals, axiom,  (v2_xxreal_0(10) & m1_subset_1(10, k4_ordinal1)) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
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_boole, axiom,  ~ (v1_xboole_0(4)) ).
fof(spc4_numerals, axiom,  (v2_xxreal_0(4) & m1_subset_1(4, k4_ordinal1)) ).
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(spc5_boole, axiom,  ~ (v1_xboole_0(5)) ).
fof(spc5_numerals, axiom,  (v2_xxreal_0(5) & m1_subset_1(5, k4_ordinal1)) ).
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(spc6_boole, axiom,  ~ (v1_xboole_0(6)) ).
fof(spc6_numerals, axiom,  (v2_xxreal_0(6) & m1_subset_1(6, k4_ordinal1)) ).
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(spc7_boole, axiom,  ~ (v1_xboole_0(7)) ).
fof(spc7_numerals, axiom,  (v2_xxreal_0(7) & m1_subset_1(7, k4_ordinal1)) ).
fof(spc8_boole, axiom,  ~ (v1_xboole_0(8)) ).
fof(spc8_numerals, axiom,  (v2_xxreal_0(8) & m1_subset_1(8, k4_ordinal1)) ).
fof(spc9_boole, axiom,  ~ (v1_xboole_0(9)) ).
fof(spc9_numerals, axiom,  (v2_xxreal_0(9) & m1_subset_1(9, k4_ordinal1)) ).
fof(symmetry_r1_xboole_0, axiom,  (! [A, B] :  (r1_xboole_0(A, B) => r1_xboole_0(B, A)) ) ).
fof(t18_nomin_9, axiom,  (! [A] :  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( ~ (v1_xboole_0(G))  =>  (! [H] :  ( (v1_relat_1(H) &  (v5_relat_1(H, G) &  (v1_funct_1(H) &  (v3_card_1(H, 10) & v1_finseq_1(H)) ) ) )  =>  (! [I] :  ( (v1_relat_1(I) &  (v1_funct_1(I) &  (v3_card_1(I, 10) & v1_finseq_1(I)) ) )  =>  ( (v1_nomin_4(A) &  (r1_nomin_4(G, A) &  ( (! [J] :  (m2_nomin_1(J, G, A) =>  (r4_nomin_4(G, A, J, k7_partfun1(G, H, 1)) &  (r4_nomin_4(G, A, J, k7_partfun1(G, H, 2)) &  (r4_nomin_4(G, A, J, k7_partfun1(G, H, 4)) &  (r4_nomin_4(G, A, J, k7_partfun1(G, H, 6)) &  (r4_nomin_4(G, A, J, k7_partfun1(G, H, 7)) &  (r4_nomin_4(G, A, J, k7_partfun1(G, H, 8)) &  (r4_nomin_4(G, A, J, k7_partfun1(G, H, 9)) & r4_nomin_4(G, A, J, k7_partfun1(G, H, 10))) ) ) ) ) ) ) ) )  &  (v2_funct_1(H) & r2_nomin_7(G, H, I, 10)) ) ) )  => m1_subset_1(k11_finseq_1(k13_nomin_9(G, A, B, C, D, E, F, I), k10_nomin_9(G, A, H, I), k6_partpr_1(k3_nomin_1(G, A), k5_nomin_4(G, A, k7_partfun1(G, H, 1), k7_partfun1(G, H, 3)), k15_nomin_9(G, A, H, B, C, D, E, F))), k1_nomin_3(k3_nomin_1(G, A)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_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(t20_nomin_9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  (! [G] :  (v1_int_1(G) =>  (! [H] :  (v1_int_1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ( (r1_nomin_4(A, B) &  (! [J] :  (m2_nomin_1(J, A, B) =>  (r4_nomin_4(A, B, J, k7_partfun1(A, C, 1)) & r4_nomin_4(A, B, J, k7_partfun1(A, C, 3))) ) ) )  =>  (v1_xboole_0(A) | m1_subset_1(k11_finseq_1(k6_partpr_1(k3_nomin_1(A, B), k5_nomin_4(A, B, k7_partfun1(A, C, 1), k7_partfun1(A, C, 3)), k15_nomin_9(A, B, C, E, F, G, H, I)), k6_nomin_2(A, B, D, k18_nomin_1(A, B, k7_partfun1(A, C, 4))), k14_nomin_9(A, B, D, E, F, G, H, I)), k1_nomin_3(k3_nomin_1(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_nomin_9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  (! [G] :  (v1_int_1(G) =>  (! [H] :  (v1_int_1(H) =>  (! [I] :  (v7_ordinal1(I) =>  ( (! [J] :  (m2_nomin_1(J, A, B) =>  (r4_nomin_4(A, B, J, k7_partfun1(A, C, 1)) & r4_nomin_4(A, B, J, k7_partfun1(A, C, 3))) ) )  => m1_subset_1(k11_finseq_1(k19_partpr_2(k3_nomin_1(A, B), k6_partpr_1(k3_nomin_1(A, B), k5_nomin_4(A, B, k7_partfun1(A, C, 1), k7_partfun1(A, C, 3)), k15_nomin_9(A, B, C, E, F, G, H, I))), k6_nomin_2(A, B, D, k18_nomin_1(A, B, k7_partfun1(A, C, 4))), k14_nomin_9(A, B, D, E, F, G, H, I)), k1_nomin_3(k3_nomin_1(A, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t25_nomin_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))))  =>  ( (m1_subset_1(k11_finseq_1(D, B, E), k1_nomin_3(A)) &  (m1_subset_1(k11_finseq_1(E, C, F), k1_nomin_3(A)) & m1_subset_1(k11_finseq_1(k19_partpr_2(A, E), C, F), k1_nomin_3(A))) )  => m1_subset_1(k11_finseq_1(D, k6_partpr_2(A, B, C), F), k1_nomin_3(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
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_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_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(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)) ) ) ) ) ) ) ) ).
