% Mizar problem: t19_nomin_9,nomin_9,1722,7 
fof(t19_nomin_9, conjecture,  (! [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) | r3_nomin_3(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)), k10_nomin_2(A, B, D, k14_nomin_9(A, B, D, E, F, G, H, I), k18_nomin_1(A, B, k7_partfun1(A, C, 4))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_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_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k1_nat_1(B, 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_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k3_xboole_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(commutativity_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k9_subset_1(A, C, B)) ) ).
fof(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_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_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_partpr_1(k3_nomin_1(A, B)), k2_partpr_2(k3_nomin_1(A, B))), k1_partpr_1(k3_nomin_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_partpr_1(k3_nomin_1(A, B)), k2_partpr_2(k3_nomin_1(A, B))), k1_partpr_1(k3_nomin_1(A, B)))))) )  =>  (D=k9_nomin_2(A, B, C) <=>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B)))))  =>  (k9_xtuple_0(k1_binop_1(D, E, F))=a_5_1_nomin_2(A, B, C, E, F) &  (! [G] :  (m2_nomin_1(G, A, B) =>  (r2_tarski(G, k1_relset_1(k3_nomin_1(A, B), F)) => r1_nomin_1(k1_binop_1(D, E, F), E, G, k17_nomin_1(A, B, G, k1_funct_1(F, G), C))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m1_nomin_1(D, A, B) =>  (r2_hidden(C, k9_xtuple_0(D)) => k12_nomin_1(A, B, C, D)=k1_funct_1(D, C)) ) ) ) ) ) ).
fof(d12_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), k5_margrel1))))  =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B)))))  => k10_nomin_2(A, B, C, D, E)=k1_binop_1(k9_nomin_2(A, B, C), D, E)) ) ) ) ) ) ) ).
fof(d12_nomin_8, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  (r3_nomin_8(A, B, C, D, E) <=>  (? [F] :  (m3_nomin_1(F, A, B) &  (C=F &  (r1_nomin_7(D, F) &  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(1, G) & r1_xxreal_0(G, k3_finseq_1(D)))  => k1_funct_1(F, k1_funct_1(D, G))=k1_funct_1(E, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_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) =>  (! [I] :  (r2_nomin_9(A, B, C, D, E, F, G, H, I) <=> r3_nomin_8(A, B, I, k9_finseq_1(C), k12_finseq_1(k4_numbers, k7_nomin_9(D, E, F, G, H)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_nomin_8, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1))))  =>  (E=k10_nomin_8(A, B, C, D) <=>  (k1_relset_1(k3_nomin_1(A, B), E)=a_3_0_nomin_8(A, B, C) &  (! [F] :  (r2_hidden(F, k1_relset_1(k3_nomin_1(A, B), E)) =>  ( (r3_nomin_8(A, B, F, k9_finseq_1(C), k9_finseq_1(D)) => k1_funct_1(E, F)=k7_margrel1)  &  ( ~ (r3_nomin_8(A, B, F, k9_finseq_1(C), k9_finseq_1(D)))  => k1_funct_1(E, F)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ).
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(d14_nomin_9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  (! [G] :  (v1_int_1(G) =>  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  (r3_nomin_9(A, B, C, D, E, F, G, H, I) <=>  (? [J] :  (m3_nomin_1(J, A, B) &  (I=J &  (r1_tarski(k8_enumset1(k7_partfun1(A, C, 1), k7_partfun1(A, C, 2), k7_partfun1(A, C, 3), k7_partfun1(A, C, 4), k7_partfun1(A, C, 5), k7_partfun1(A, C, 6), k7_partfun1(A, C, 7), k7_partfun1(A, C, 8), k7_partfun1(A, C, 9), k7_partfun1(A, C, 10)), k9_xtuple_0(J)) &  (k1_funct_1(J, k7_partfun1(A, C, 2))=1 &  (k1_funct_1(J, k7_partfun1(A, C, 3))=H &  (k1_funct_1(J, k7_partfun1(A, C, 7))=F &  (k1_funct_1(J, k7_partfun1(A, C, 8))=G &  (? [K] :  (v7_ordinal1(K) &  (K=k1_funct_1(J, k7_partfun1(A, C, 1)) &  (k1_funct_1(J, k7_partfun1(A, C, 4))=k7_nomin_9(D, E, F, G, K) & k1_funct_1(J, k7_partfun1(A, C, 5))=k7_nomin_9(D, E, F, G, k1_nat_1(K, 1))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_nomin_9, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) )  =>  (! [D] :  (v1_int_1(D) =>  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  (! [G] :  (v1_int_1(G) =>  (! [H] :  (v7_ordinal1(H) =>  (! [I] :  ( (v1_funct_1(I) & m1_subset_1(I, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1))))  =>  (I=k15_nomin_9(A, B, C, D, E, F, G, H) <=>  (k1_relset_1(k3_nomin_1(A, B), I)=k3_nomin_1(A, B) &  (! [J] :  (r2_hidden(J, k1_relset_1(k3_nomin_1(A, B), I)) =>  ( (r3_nomin_9(A, B, C, D, E, F, G, H, J) => k1_funct_1(I, J)=k7_margrel1)  &  ( ~ (r3_nomin_9(A, B, C, D, E, F, G, H, J))  => k1_funct_1(I, J)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] : k17_nomin_1(A, B, C, D, E)=k16_nomin_1(A, B, C, k13_nomin_1(A, B, E, D))) ) ) ) ) ).
fof(d18_nomin_1, 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)))))  =>  (D=k18_nomin_1(A, B, C) <=>  (k1_relset_1(k3_nomin_1(A, B), D)=a_3_0_nomin_1(A, B, C) &  (! [E] :  (m3_nomin_1(E, A, B) =>  (r2_tarski(E, k1_relset_1(k3_nomin_1(A, B), D)) => k1_funct_1(D, E)=k12_nomin_1(A, B, C, E)) ) ) ) ) ) ) ) ) ) ).
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_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_finseq_1(A)=a_1_0_finseq_1(A)) ) ).
fof(d1_nomin_7, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_nomin_7(A, B) <=> r1_tarski(k10_xtuple_0(A), k9_xtuple_0(B))) ) ) ) ) ).
fof(d1_partpr_1, axiom,  (! [A] : k1_partpr_1(A)=k4_partfun1(A, k5_margrel1)) ).
fof(d1_xboolean, axiom, k1_xboolean=k5_numbers).
fof(d2_nomin_4, axiom,  (! [A] :  (! [B] : k1_nomin_4(A, B)=a_2_0_nomin_4(A, B)) ) ).
fof(d2_partpr_2, axiom,  (! [A] : k2_partpr_2(A)=k3_rfunct_3(A, A)) ).
fof(d2_xboolean, axiom, k2_xboolean=1).
fof(d3_nomin_3, axiom,  (! [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))))  =>  (r3_nomin_3(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) =>  ( (r2_tarski(D, k1_relset_1(A, B)) & k1_funct_1(B, D)=k7_margrel1)  =>  (r2_tarski(D, k1_relset_1(A, C)) & k1_funct_1(C, D)=k7_margrel1) ) ) ) ) ) ) ) ) ) ).
fof(d3_nomin_4, axiom,  (! [A] :  (! [B] :  (r1_nomin_4(A, B) <=> r1_xboole_0(B, k1_nomin_4(A, B))) ) ) ).
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(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, 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_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k3_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) & r2_hidden(D, B)) ) ) ) ) ) ) ).
fof(d5_finseq_1, axiom,  (! [A] : k5_finseq_1(A)=k1_tarski(k4_tarski(1, A))) ).
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(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_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_funct_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k13_funct_3(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k4_tarski(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
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(d8_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (! [G] :  (! [H] :  (! [I] :  (! [J] :  (! [K] :  (K=k8_enumset1(A, B, C, D, E, F, G, H, I, J) <=>  (! [L] :  (r2_hidden(L, K) <=>  ~ ( ( ~ (L=A)  &  ( ~ (L=B)  &  ( ~ (L=C)  &  ( ~ (L=D)  &  ( ~ (L=E)  &  ( ~ (L=F)  &  ( ~ (L=G)  &  ( ~ (L=H)  &  ( ~ (L=I)  &  ~ (L=J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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(d9_nomin_4, axiom,  (! [A] :  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), k5_margrel1)))) )  =>  (B=k4_nomin_4(A) <=>  (! [C] :  (! [D] :  ( (r2_hidden(C, A) & r2_hidden(D, A))  =>  ( (C=D => k1_binop_1(B, C, D)=k7_margrel1)  &  ( ~ (C=D)  => k1_binop_1(B, C, D)=k6_margrel1) ) ) ) ) ) ) ) ) ).
fof(dt_k10_nomin_2, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1))))  &  (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k3_nomin_1(A, B))))) )  =>  (v1_funct_1(k10_nomin_2(A, B, C, D, E)) & m1_subset_1(k10_nomin_2(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(A, B), k5_margrel1)))) ) ) ).
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_xtuple_0, axiom, $true).
fof(dt_k12_finseq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m2_finseq_1(k12_finseq_1(A, B), A)) ) ).
fof(dt_k12_nomin_1, axiom,  (! [A, B, C, D] :  (m1_nomin_1(D, A, B) => m2_nomin_1(k12_nomin_1(A, B, C, D), A, B)) ) ).
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_1, axiom,  (! [A, B, C, D] : m3_nomin_1(k13_nomin_1(A, B, C, D), A, B)) ).
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_nomin_1, axiom,  (! [A, B, C, D] : m2_nomin_1(k16_nomin_1(A, B, C, D), A, B)) ).
fof(dt_k17_nomin_1, axiom,  (! [A, B, C, D, E] : m2_nomin_1(k17_nomin_1(A, B, C, D, E), A, B)) ).
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_k1_binop_1, axiom, $true).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
fof(dt_k1_finseq_1, axiom, $true).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k1_nat_1(A, B), k4_ordinal1)) ) ).
fof(dt_k1_nomin_4, axiom, $true).
fof(dt_k1_partpr_1, axiom, $true).
fof(dt_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => m1_subset_1(k1_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_xboolean, 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_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k2_finseq_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
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_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_xboolean, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k3_finseq_1(A), k4_ordinal1)) ) ).
fof(dt_k3_nomin_1, axiom, $true).
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_xboole_0, axiom, $true).
fof(dt_k4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k4_finseq_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
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_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_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_k6_margrel1, axiom, m1_subset_1(k6_margrel1, k5_margrel1)).
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_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_k7_margrel1, axiom, m1_subset_1(k7_margrel1, k5_margrel1)).
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_enumset1, 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_k9_finseq_1, axiom,  (! [A] :  (v1_relat_1(k9_finseq_1(A)) & v1_funct_1(k9_finseq_1(A))) ) ).
fof(dt_k9_nomin_2, axiom,  (! [A, B, C] :  (v1_funct_1(k9_nomin_2(A, B, C)) &  (v1_funct_2(k9_nomin_2(A, B, C), k2_zfmisc_1(k1_partpr_1(k3_nomin_1(A, B)), k2_partpr_2(k3_nomin_1(A, B))), k1_partpr_1(k3_nomin_1(A, B))) & m1_subset_1(k9_nomin_2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_partpr_1(k3_nomin_1(A, B)), k2_partpr_2(k3_nomin_1(A, B))), k1_partpr_1(k3_nomin_1(A, B)))))) ) ) ).
fof(dt_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => m1_subset_1(k9_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_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_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ( ~ (v1_finset_1(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc10_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  => v1_setfam_1(k10_xtuple_0(A))) ) ).
fof(fc10_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_ordinal1(A))  =>  ~ (v10_ordinal1(k10_xtuple_0(A))) ) ) ).
fof(fc10_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k2_zfmisc_1(A, B))) ) ) ).
fof(fc10_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fc11_funct_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  ~ (v1_xboole_0(k1_funct_1(A, B))) ) ) ).
fof(fc11_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  => v1_setfam_1(k1_tarski(A))) ) ).
fof(fc11_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v9_ordinal1(A)) )  => v10_ordinal1(k10_xtuple_0(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_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  => v1_zfmisc_1(k10_xtuple_0(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_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ~ (v1_zfmisc_1(k10_xtuple_0(A))) ) ) ).
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(fc15_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_finseq_1(k1_finseq_1(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_card_1, axiom,  (! [A, B] :  ( (v1_card_1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) )  => v3_card_1(k9_xtuple_0(B), A)) ) ).
fof(fc17_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v3_finseq_1(k9_xtuple_0(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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  => v3_finseq_1(k9_xtuple_0(A))) ) ).
fof(fc18_funct_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  ~ (v1_zfmisc_1(k9_xtuple_0(A))) ) ) ).
fof(fc1_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_xboole_0(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc1_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k1_finseq_1(A))) ) ).
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_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_nat_1, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ( ( ~ (v8_ordinal1(A))  &  ( ~ (v8_ordinal1(B))  &  ( ~ (v8_ordinal1(C))  &  ( ~ (v8_ordinal1(D))  &  ( ~ (v8_ordinal1(E))  &  ( ~ (v8_ordinal1(F))  &  ( ~ (v8_ordinal1(G))  &  ( ~ (v8_ordinal1(H))  &  ( ~ (v8_ordinal1(I))  &  ~ (v8_ordinal1(J)) ) ) ) ) ) ) ) ) )  => v1_setfam_1(k8_enumset1(A, B, C, D, E, F, G, H, I, J))) ) ).
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_finseq_1, axiom,  (! [A, B] :  (v3_finseq_1(A) => v3_finseq_1(k3_xboole_0(A, B))) ) ).
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(fc23_finseq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k5_finseq_1(A))) ) ).
fof(fc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v8_ordinal1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc2_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_xboole_0(k1_finseq_1(A))) ) ) ).
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_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_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc2_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(fc35_finseq_1, axiom, v4_finseq_1(k1_tarski(k1_xboole_0))).
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_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc3_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k1_finseq_1(A))) ) ).
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_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_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v8_ordinal1(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc4_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_card_1(k1_finseq_1(A), A)) ) ).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc4_numbers, axiom,  ~ (v1_xboole_0(k4_numbers)) ).
fof(fc4_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  => v3_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc4_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(fc4_xtuple_0, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
fof(fc5_nomin_1, axiom,  (! [A, B] :  ~ (v1_xboole_0(k3_nomin_1(A, B))) ) ).
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_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc5_xtuple_0, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A))) ) ).
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_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(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_newton04, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v8_ordinal1(k1_funct_1(A, k2_xcmplx_0(k3_finseq_1(A), B)))) ) ).
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_card_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_finset_1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
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(fc8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))) => v1_relat_1(k9_xtuple_0(D))) ) ).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
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_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) => v1_relat_1(k10_xtuple_0(D))) ) ).
fof(fc9_subset_1, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ~ (v1_xboole_0(k8_enumset1(A, B, C, D, E, F, G, H, I, J))) ) ).
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_1_0_finseq_1, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_finseq_1(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, 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(fraenkel_a_3_0_nomin_1, axiom,  (! [A, B, C, D] :  (r2_hidden(A, a_3_0_nomin_1(B, C, D)) <=>  (? [E] :  (m3_nomin_1(E, B, C) &  (A=E & r2_hidden(D, k9_xtuple_0(E))) ) ) ) ) ).
fof(fraenkel_a_3_0_nomin_8, axiom,  (! [A, B, C, D] :  (r2_hidden(A, a_3_0_nomin_8(B, C, D)) <=>  (? [E] :  (m2_nomin_1(E, B, C) &  (A=E & r2_tarski(E, k1_relset_1(k3_nomin_1(B, C), k18_nomin_1(B, C, D)))) ) ) ) ) ).
fof(fraenkel_a_3_19_nomin_9, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, B) =>  (r2_hidden(A, a_3_19_nomin_9(B, C, D)) <=>  (? [E] :  (m2_nomin_1(E, B, C) &  (A=E & r2_tarski(E, k1_relset_1(k3_nomin_1(B, C), k18_nomin_1(B, C, D)))) ) ) ) ) ) ).
fof(fraenkel_a_3_20_nomin_9, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, B) =>  (r2_hidden(A, a_3_20_nomin_9(B, C, D)) <=>  (? [E] :  (m3_nomin_1(E, B, C) &  (A=E & r2_tarski(D, k9_xtuple_0(E))) ) ) ) ) ) ).
fof(fraenkel_a_3_3_nomin_9, axiom,  (! [A, B, C, D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, B) & v1_funct_1(D)) )  =>  (r2_hidden(A, a_3_3_nomin_9(B, C, D)) <=>  (? [E] :  (m3_nomin_1(E, B, C) &  (A=E & r2_tarski(k7_partfun1(B, D, 4), k9_xtuple_0(E))) ) ) ) ) ) ).
fof(fraenkel_a_5_1_nomin_2, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(B, C), k5_margrel1))))  &  (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(B, C), k3_nomin_1(B, C))))) )  =>  (r2_hidden(A, a_5_1_nomin_2(B, C, D, E, F)) <=>  (? [G] :  (m2_nomin_1(G, B, C) &  (A=G &  (r2_tarski(k17_nomin_1(B, C, G, k1_funct_1(F, G), D), k1_relset_1(k3_nomin_1(B, C), E)) & r2_tarski(G, k1_relset_1(k3_nomin_1(B, C), F))) ) ) ) ) ) ) ).
fof(fraenkel_a_9_2_nomin_9, axiom,  (! [A, B, C, D, E, F, G, H, I, J] :  ( ( (v1_relat_1(D) &  (v5_relat_1(D, B) & v1_funct_1(D)) )  &  (m1_subset_1(E, B) &  (v1_int_1(F) &  (v1_int_1(G) &  (v1_int_1(H) &  (v1_int_1(I) & v7_ordinal1(J)) ) ) ) ) )  =>  (r2_hidden(A, a_9_2_nomin_9(B, C, D, E, F, G, H, I, J)) <=>  (? [K] :  (m2_nomin_1(K, B, C) &  (A=K &  (r2_tarski(k17_nomin_1(B, C, K, k1_funct_1(k18_nomin_1(B, C, k7_partfun1(B, D, 4)), K), E), k1_relset_1(k3_nomin_1(B, C), k14_nomin_9(B, C, E, F, G, H, I, J))) & r2_tarski(K, k1_relset_1(k3_nomin_1(B, C), k18_nomin_1(B, C, k7_partfun1(B, D, 4))))) ) ) ) ) ) ) ).
fof(idempotence_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, A)=A) ).
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(idempotence_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, B)=B) ) ).
fof(involutiveness_k3_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(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(projectivity_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(k3_finseq_1(A))=k3_finseq_1(A)) ) ).
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_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(rd1_card_1, axiom,  (! [A] :  (v1_card_1(A) => k1_card_1(A)=A) ) ).
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(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(redefinition_k12_finseq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k12_finseq_1(A, B)=k5_finseq_1(B)) ) ).
fof(redefinition_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(redefinition_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k1_relset_1(A, B)=k9_xtuple_0(B)) ) ).
fof(redefinition_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_k2_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_finseq_1(A)=k1_finseq_1(A)) ) ).
fof(redefinition_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(A)=k1_card_1(A)) ) ).
fof(redefinition_k3_rfunct_3, axiom,  (! [A, B] : k3_rfunct_3(A, B)=k4_partfun1(A, B)) ).
fof(redefinition_k4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k4_finseq_1(A)=k9_xtuple_0(A)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k6_margrel1, axiom, k6_margrel1=k1_xboolean).
fof(redefinition_k7_margrel1, axiom, k7_margrel1=k2_xboolean).
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_k9_finseq_1, axiom,  (! [A] : k9_finseq_1(A)=k5_finseq_1(A)) ).
fof(redefinition_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(redefinition_m2_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(reflexivity_r3_nomin_3, 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) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  => r3_nomin_3(A, B, B)) ) ).
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_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_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_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_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_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_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_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_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_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__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_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_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_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_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_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_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_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_r1_r10, axiom, k2_xcmplx_0(9, 1)=10).
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_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_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(t10_nomin_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(A, B) =>  (! [D] :  (m2_nomin_1(D, B, C) =>  (! [E] :  (m2_nomin_1(E, B, C) =>  (! [F] :  ( (v1_relat_1(F) & v1_funct_1(F))  =>  (F=k17_nomin_1(B, C, D, E, A) => k1_funct_1(F, A)=E) ) ) ) ) ) ) ) ) ) ) ).
fof(t11_nomin_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  ( ( (! [E] :  (m2_nomin_1(E, A, B) => r4_nomin_4(A, B, E, C)) )  &  (! [E] :  (m2_nomin_1(E, A, B) => r4_nomin_4(A, B, E, D)) ) )  => k1_relset_1(k3_nomin_1(A, B), k5_nomin_4(A, B, C, D))=k9_subset_1(k3_nomin_1(A, B), k1_relset_1(k3_nomin_1(A, B), k18_nomin_1(A, B, C)), k1_relset_1(k3_nomin_1(A, B), k18_nomin_1(A, B, D)))) ) ) ) ) ) ) ).
fof(t13_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(A, k9_xtuple_0(B)) => k1_funct_1(k3_relat_1(B, C), A)=k1_funct_1(C, k1_funct_1(B, A))) ) ) ) ) ) ).
fof(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(t1_xxreal_0, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(B, A))  => A=B) ) ) ) ) ).
fof(t23_partpr_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1))))  =>  ( (r2_hidden(A, k1_relset_1(B, k6_partpr_1(B, C, D))) & k1_funct_1(k6_partpr_1(B, C, D), A)=k7_margrel1)  =>  (r2_hidden(A, k1_relset_1(B, C)) &  (k1_funct_1(C, A)=k7_margrel1 &  (r2_hidden(A, k1_relset_1(B, D)) & k1_funct_1(D, A)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_boole, axiom,  (! [A] : k3_xboole_0(A, k1_xboole_0)=k1_xboole_0) ).
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(t31_zfmisc_1, axiom,  (! [A] :  (! [B] :  (r1_tarski(k1_tarski(A), B) <=> r2_hidden(A, B)) ) ) ).
fof(t35_nomin_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m2_nomin_1(D, B, C) =>  (! [E] :  ( (v1_funct_1(E) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(B, C), k5_margrel1))))  =>  (! [F] :  ( (v1_funct_1(F) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k3_nomin_1(B, C), k3_nomin_1(B, C)))))  =>  (r2_tarski(D, k1_relset_1(k3_nomin_1(B, C), k10_nomin_2(B, C, A, E, F))) =>  (k1_funct_1(k10_nomin_2(B, C, A, E, F), D)=k1_funct_1(E, k17_nomin_1(B, C, D, k1_funct_1(F, D), A)) & r2_tarski(D, k1_relset_1(k3_nomin_1(B, C), F))) ) ) ) ) ) ) ) ) ) ) ).
fof(t38_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (A=k9_finseq_1(B) <=>  (k4_finseq_1(A)=k2_finseq_1(1) & k10_xtuple_0(A)=k1_tarski(B)) ) ) ) ) ).
fof(t39_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (A=k9_finseq_1(B) <=>  (k3_finseq_1(A)=1 & k10_xtuple_0(A)=k1_tarski(B)) ) ) ) ) ).
fof(t39_nomin_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r2_hidden(A, k3_nomin_1(B, C)) => m2_nomin_1(A, B, C)) ) ) ) ).
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_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, B) & v1_funct_1(C)) )  =>  (r2_hidden(A, k9_xtuple_0(C)) => r2_tarski(k1_funct_1(C, 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_nomin_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (m2_nomin_1(D, B, C) =>  (! [E] :  (m3_nomin_1(E, B, C) =>  ( (r2_hidden(A, B) & r1_nomin_4(B, C))  => r2_tarski(k17_nomin_1(B, C, E, D, A), k1_relset_1(k3_nomin_1(B, C), k18_nomin_1(B, C, A)))) ) ) ) ) ) ) ) ).
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)) ) ) ) ) ) ) ) ).
