% Mizar problem: l28_scmpds_9,scmpds_9,1069,5 
fof(l28_scmpds_9, conjecture,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  =>  (! [B] :  (v1_int_1(B) => k2_amistd_1(k5_card_1(2), k1_scmpds_2, k8_scmpds_2(A, B, 5))=k1_xboole_0) ) ) ) ).
fof(abstractness_v1_extpro_1, axiom,  (! [A, B] :  (l1_extpro_1(B, A) =>  (v1_extpro_1(B, A) => B=g1_extpro_1(A, u1_struct_0(B), u2_struct_0(B), u1_compos_1(B), u1_memstr_0(A, B), u2_memstr_0(A, B), u1_extpro_1(A, B))) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(B)) => v4_relat_1(C, A)) ) ) ) ).
fof(cc10_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v5_funct_1(C, B)) )  =>  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) ) ) ) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(B)) => v1_partfun1(C, A)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(B)) => v1_partfun1(C, A)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_card_3, axiom,  (! [A] :  ( ~ (v4_card_3(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(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_3, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ) ).
fof(cc1_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_funct_1(A)) ) ).
fof(cc1_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_card_3, axiom,  (! [A, B] :  (v1_setfam_1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v2_relat_1(C) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
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_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (! [C] :  ( (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) )  =>  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v4_memstr_0(C, A, B)) ) ) ) ) ) ) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc3_card_3, axiom,  (! [A] :  (v3_card_3(A) =>  (v4_funct_1(A) & v2_card_3(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_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc4_card_3, axiom,  (! [A] :  (v5_card_3(A) =>  ( ~ (v1_finset_1(A))  & v4_card_3(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_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc5_card_3, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v4_card_3(A))  => v5_card_3(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(cc6_card_3, axiom,  (! [A] :  (v1_finset_1(A) => v4_card_3(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(cc7_card_3, axiom,  (! [A] :  (v4_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_card_3(B)) ) ) ) ).
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(cc8_card_3, axiom,  (! [A] :  (v2_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_card_3(B)) ) ) ) ).
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(cc9_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k4_card_3(A)) => v5_funct_1(B, 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_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
fof(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(d10_xboole_0, axiom,  (! [A] :  (! [B] :  (A=B <=>  (r1_tarski(A, B) & r1_tarski(B, A)) ) ) ) ).
fof(d18_scmpds_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (m1_subset_1(C, k4_ordinal1) =>  (C=k17_scmpds_2(A, B) <=>  (? [D] :  (m1_subset_1(D, k4_ordinal1) &  (D=k5_memstr_0(k5_card_1(2), k1_scmpds_2, A) & C=k1_int_2(k2_xcmplx_0(D, B))) ) ) ) ) ) ) ) ) ) ).
fof(d1_scmpds_2, axiom, k1_scmpds_2=g1_extpro_1(k5_card_1(2), k1_ami_2, k10_subset_1(k4_ordinal1, k1_ami_2), k1_scmpds_i, k3_ami_2, k4_ami_2, k6_scmpds_1)).
fof(d1_setfam_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (A=k1_xboole_0)  =>  (B=k1_setfam_1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (! [D] :  (r2_tarski(D, A) => r2_hidden(C, D)) ) ) ) ) )  &  (A=k1_xboole_0 =>  (B=k1_setfam_1(A) <=> B=k1_xboole_0) ) ) ) ) ).
fof(d2_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) => k2_memstr_0(A, B)=k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))) ) ) ) ).
fof(d2_xboole_0, axiom, k1_xboole_0=o_0_0_xboole_0).
fof(d3_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m1_subset_1(D, u1_compos_1(B)) => k1_amistd_1(A, B, C, D)=a_4_0_amistd_1(A, B, C, D)) ) ) ) ) ) ) ) ).
fof(d3_scmpds_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k2_scmpds_2(A, B)=k4_tarski(1, k1_int_2(k2_xcmplx_0(A, B)))) ) ) ) ).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d4_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => k2_amistd_1(A, B, C)=k1_setfam_1(a_3_0_amistd_1(A, B, C))) ) ) ) ) ) ).
fof(d7_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => k5_memstr_0(A, B, C)=k1_funct_1(C, k4_struct_0(B))) ) ) ) ) ) ).
fof(d9_scmpds_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k8_scmpds_2(A, B, C)=k3_xtuple_0(5, k1_xboole_0, k11_finseq_1(A, B, C))) ) ) ) ) ) ).
fof(dt_g1_extpro_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(C, B) &  ( (v1_compos_0(D) &  (v2_compos_0(D) &  (v3_compos_0(D) & v5_compos_0(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F))))))) ) ) ) ) )  =>  (v1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A) & l1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A)) ) ) ).
fof(dt_k10_subset_1, axiom,  (! [A, B] : m1_subset_1(k10_subset_1(A, B), B)) ).
fof(dt_k11_finseq_1, axiom, $true).
fof(dt_k17_scmpds_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  & v1_int_1(B))  => m1_subset_1(k17_scmpds_2(A, B), k4_ordinal1)) ) ).
fof(dt_k1_ami_2, axiom, $true).
fof(dt_k1_amistd_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  &  (v7_ordinal1(C) & m1_subset_1(D, u1_compos_1(B))) ) )  => m1_subset_1(k1_amistd_1(A, B, C, D), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_funct_2, axiom, $true).
fof(dt_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => m1_subset_1(k1_int_2(A), k4_ordinal1)) ) ).
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_scmpds_2, axiom,  (v1_extpro_1(k1_scmpds_2, k5_card_1(2)) & l1_extpro_1(k1_scmpds_2, k5_card_1(2))) ).
fof(dt_k1_scmpds_i, axiom, $true).
fof(dt_k1_setfam_1, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_amistd_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  & m1_subset_1(C, u1_compos_1(B))) )  => m1_subset_1(k2_amistd_1(A, B, C), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k2_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( (v2_memstr_0(B, A) & l1_extpro_1(B, A))  &  (m1_subset_1(C, u1_compos_1(B)) &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  =>  (v1_relat_1(k2_extpro_1(A, B, C, D)) &  (v4_relat_1(k2_extpro_1(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k2_extpro_1(A, B, C, D)) &  (v5_funct_1(k2_extpro_1(A, B, C, D), k2_memstr_0(A, B)) & v1_partfun1(k2_extpro_1(A, B, C, D), u1_struct_0(B))) ) ) ) ) ) ).
fof(dt_k2_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (v1_relat_1(k2_memstr_0(A, B)) &  (v4_relat_1(k2_memstr_0(A, B), u1_struct_0(B)) &  (v1_funct_1(k2_memstr_0(A, B)) & v1_partfun1(k2_memstr_0(A, B), u1_struct_0(B))) ) ) ) ) ).
fof(dt_k2_scmpds_2, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  =>  (v1_ami_2(k2_scmpds_2(A, B)) & m1_subset_1(k2_scmpds_2(A, B), u1_struct_0(k1_scmpds_2))) ) ) ).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_ami_2, axiom,  (v1_funct_1(k3_ami_2) &  (v1_funct_2(k3_ami_2, k1_ami_2, k5_card_1(2)) & m1_subset_1(k3_ami_2, k1_zfmisc_1(k2_zfmisc_1(k1_ami_2, k5_card_1(2))))) ) ).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k3_xtuple_0, axiom, $true).
fof(dt_k4_ami_2, axiom,  (v1_relat_1(k4_ami_2) &  (v4_relat_1(k4_ami_2, k5_card_1(2)) &  (v1_funct_1(k4_ami_2) & v1_partfun1(k4_ami_2, k5_card_1(2))) ) ) ).
fof(dt_k4_card_3, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(k4_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k5_card_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k5_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  => m1_subset_1(k5_memstr_0(A, B, C), k4_ordinal1)) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k6_ordinal1, axiom, $true).
fof(dt_k6_scmpds_1, axiom,  (v1_funct_1(k6_scmpds_1) &  (v1_funct_2(k6_scmpds_1, k1_scmpds_i, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))) & m1_subset_1(k6_scmpds_1, k1_zfmisc_1(k2_zfmisc_1(k1_scmpds_i, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))))))) ) ).
fof(dt_k8_scmpds_2, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(B) & v1_int_1(C)) )  => m1_subset_1(k8_scmpds_2(A, B, C), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xreal_0(k9_complex1(A))) ) ).
fof(dt_l1_compos_1, axiom, $true).
fof(dt_l1_extpro_1, axiom,  (! [A] :  (! [B] :  (l1_extpro_1(B, A) =>  (l1_memstr_0(B, A) & l1_compos_1(B)) ) ) ) ).
fof(dt_l1_memstr_0, axiom,  (! [A] :  (! [B] :  (l1_memstr_0(B, A) => l2_struct_0(B)) ) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_o_0_0_xboole_0, axiom, v1_xboole_0(o_0_0_xboole_0)).
fof(dt_u1_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_compos_0(u1_compos_1(A)) &  (v2_compos_0(u1_compos_1(A)) &  (v3_compos_0(u1_compos_1(A)) & v5_compos_0(u1_compos_1(A))) ) ) ) ) ).
fof(dt_u1_extpro_1, axiom,  (! [A, B] :  (l1_extpro_1(B, A) =>  (v1_funct_1(u1_extpro_1(A, B)) &  (v1_funct_2(u1_extpro_1(A, B), u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))))) & m1_subset_1(u1_extpro_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B)))))))) ) ) ) ).
fof(dt_u1_memstr_0, axiom,  (! [A, B] :  (l1_memstr_0(B, A) =>  (v1_funct_1(u1_memstr_0(A, B)) &  (v1_funct_2(u1_memstr_0(A, B), u1_struct_0(B), A) & m1_subset_1(u1_memstr_0(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), A)))) ) ) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(dt_u2_memstr_0, axiom,  (! [A, B] :  (l1_memstr_0(B, A) =>  (v1_relat_1(u2_memstr_0(A, B)) &  (v4_relat_1(u2_memstr_0(A, B), A) &  (v1_funct_1(u2_memstr_0(A, B)) & v1_partfun1(u2_memstr_0(A, B), A)) ) ) ) ) ).
fof(dt_u2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(u2_struct_0(A), u1_struct_0(A))) ) ).
fof(existence_l1_compos_1, axiom,  (? [A] : l1_compos_1(A)) ).
fof(existence_l1_extpro_1, axiom,  (! [A] :  (? [B] : l1_extpro_1(B, A)) ) ).
fof(existence_l1_memstr_0, axiom,  (! [A] :  (? [B] : l1_memstr_0(B, A)) ) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l2_struct_0, axiom,  (? [A] : l2_struct_0(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc10_card_3, axiom, v5_card_3(k4_ordinal1)).
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_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_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_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k6_ordinal1(A))) ) ).
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_ordinal1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k6_ordinal1(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_xreal_0, axiom,  (! [A] :  ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v3_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc16_xreal_0, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v2_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc17_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(fc1_ami_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_setfam_1(k6_ordinal1(A))) ) ) ).
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_scmpds_2, axiom,  ( ~ (v2_struct_0(k1_scmpds_2))  & v1_extpro_1(k1_scmpds_2, k5_card_1(2))) ).
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_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(B, A))) ) ) ).
fof(fc25_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc26_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc2_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_scmpds_2, axiom,  (v2_memstr_0(k1_scmpds_2, k5_card_1(2)) &  (v3_memstr_0(k1_scmpds_2, k5_card_1(2)) & v1_extpro_1(k1_scmpds_2, k5_card_1(2))) ) ).
fof(fc3_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_int_1(k4_xcmplx_0(A))) ) ) ).
fof(fc3_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) & l1_memstr_0(B, A)) )  =>  (v1_relat_1(k2_memstr_0(A, B)) &  (v2_relat_1(k2_memstr_0(A, B)) &  (v4_relat_1(k2_memstr_0(A, B), u1_struct_0(B)) &  (v1_funct_1(k2_memstr_0(A, B)) & v1_partfun1(k2_memstr_0(A, B), u1_struct_0(B))) ) ) ) ) ) ).
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_scmpds_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2))) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A))) ) ) ).
fof(fc4_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k4_card_3(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_scmpds_2, axiom,  (v1_extpro_1(k1_scmpds_2, k5_card_1(2)) & v3_extpro_1(k1_scmpds_2, k5_card_1(2))) ).
fof(fc5_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  =>  ~ (v1_xboole_0(k4_card_3(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(fc6_int_1, axiom, v2_int_1(k4_xcmplx_0(1))).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
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_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(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_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v3_card_3(k4_card_3(A))) ) ).
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_1_scmpds_9, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  & v1_int_1(C))  =>  (r2_hidden(A, a_2_1_scmpds_9(B, C)) <=>  (? [D] :  (v7_ordinal1(D) & A=k1_amistd_1(k5_card_1(2), k1_scmpds_2, D, k8_scmpds_2(B, C, 5))) ) ) ) ) ).
fof(fraenkel_a_3_0_amistd_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(B))  &  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) & l1_extpro_1(C, B)) ) )  & m1_subset_1(D, u1_compos_1(C))) )  =>  (r2_hidden(A, a_3_0_amistd_1(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) & A=k1_amistd_1(B, C, E, D)) ) ) ) ) ).
fof(fraenkel_a_4_0_amistd_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_setfam_1(B))  &  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) & l1_extpro_1(C, B)) ) )  &  (v7_ordinal1(D) & m1_subset_1(E, u1_compos_1(C))) ) )  =>  (r2_hidden(A, a_4_0_amistd_1(B, C, D, E)) <=>  (? [F] :  (m1_subset_1(F, k4_card_3(k2_memstr_0(B, C))) &  (A=k5_memstr_0(B, C, k2_extpro_1(B, C, E, F)) & k5_memstr_0(B, C, F)=D) ) ) ) ) ) ).
fof(free_g1_extpro_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(C, B) &  ( (v1_compos_0(D) &  (v2_compos_0(D) &  (v3_compos_0(D) & v5_compos_0(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F))))))) ) ) ) ) )  =>  (! [H, I, J, K, L, M, N] :  (g1_extpro_1(A, B, C, D, E, F, G)=g1_extpro_1(H, I, J, K, L, M, N) =>  (A=H &  (B=I &  (C=J &  (D=K &  (E=L &  (F=M & G=N) ) ) ) ) ) ) ) ) ) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(projectivity_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => k1_int_2(k1_int_2(A))=k1_int_2(A)) ) ).
fof(projectivity_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_complex1(k9_complex1(A))=k9_complex1(A)) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
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(rc1_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ).
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_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_scmpds_2, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_scmpds_2)) & v1_ami_2(A)) ) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
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_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc3_card_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v4_funct_1(A) & v2_card_3(A)) ) ) ).
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_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_memstr_0(B, A) & v2_memstr_0(B, A)) ) ) ) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_card_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_card_3(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_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_card_3, axiom,  (? [A] : v5_card_3(A)) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(rc5_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (? [C] :  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc6_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_finset_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(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(A)) ) ).
fof(rc7_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) ) )  =>  (? [C] :  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (? [C] :  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v5_funct_1(C, B)) ) ) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
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_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) => k10_subset_1(A, k4_ordinal1)=A) ) ).
fof(redefinition_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => k1_int_2(A)=k9_complex1(A)) ) ).
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_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => k5_card_1(A)=k6_ordinal1(A)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
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__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_r13, axiom, r1_xxreal_0(10, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r2, axiom,  ~ (r1_xxreal_0(10, 2)) ).
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_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__r10_rm1, axiom,  ~ (r1_xxreal_0(10, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_rm10, axiom,  ~ (r1_xxreal_0(10, k4_xcmplx_0(10))) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_rm2, axiom,  ~ (r1_xxreal_0(10, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_rm5, axiom,  ~ (r1_xxreal_0(10, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_rm6, axiom,  ~ (r1_xxreal_0(10, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r1, axiom,  ~ (r1_xxreal_0(13, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r10, axiom,  ~ (r1_xxreal_0(13, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r13, axiom, r1_xxreal_0(13, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r2, axiom,  ~ (r1_xxreal_0(13, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r5, axiom,  ~ (r1_xxreal_0(13, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r6, axiom,  ~ (r1_xxreal_0(13, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r8, axiom,  ~ (r1_xxreal_0(13, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r9, axiom,  ~ (r1_xxreal_0(13, 9)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_rm1, axiom,  ~ (r1_xxreal_0(13, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_rm2, axiom,  ~ (r1_xxreal_0(13, k4_xcmplx_0(2))) ).
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_r13, axiom, r1_xxreal_0(1, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
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_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__r1_rm1, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm10, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(10))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm2, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm5, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm6, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm8, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm9, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(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_r13, axiom, r1_xxreal_0(2, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
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_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__r2_rm1, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm5, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm6, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm8, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm9, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(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_r13, axiom, r1_xxreal_0(5, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r2, axiom,  ~ (r1_xxreal_0(5, 2)) ).
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_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__r5_rm1, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm10, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(10))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm2, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm5, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm8, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(8))) ).
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_r13, axiom, r1_xxreal_0(6, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r2, axiom,  ~ (r1_xxreal_0(6, 2)) ).
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_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__r6_rm1, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm2, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm5, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm6, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm8, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(8))) ).
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_r13, axiom, r1_xxreal_0(8, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r2, axiom,  ~ (r1_xxreal_0(8, 2)) ).
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_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__r8_rm1, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm2, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm5, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm6, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm8, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_rm9, axiom,  ~ (r1_xxreal_0(8, k4_xcmplx_0(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_r13, axiom, r1_xxreal_0(9, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r2, axiom,  ~ (r1_xxreal_0(9, 2)) ).
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_r8, axiom,  ~ (r1_xxreal_0(9, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r9, axiom, r1_xxreal_0(9, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm1, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm2, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm5, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm6, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm8, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm9, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(9))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r1, axiom, r1_xxreal_0(k4_xcmplx_0(10), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r10, axiom, r1_xxreal_0(k4_xcmplx_0(10), 10)).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r2, axiom, r1_xxreal_0(k4_xcmplx_0(10), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r5, axiom, r1_xxreal_0(k4_xcmplx_0(10), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm10_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(10), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm10_rm10, axiom, r1_xxreal_0(k4_xcmplx_0(10), k4_xcmplx_0(10))).
fof(rqLessOrEqual__r1_xxreal_0__rm10_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(10), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r1, axiom, r1_xxreal_0(k4_xcmplx_0(1), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r10, axiom, r1_xxreal_0(k4_xcmplx_0(1), 10)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r13, axiom, r1_xxreal_0(k4_xcmplx_0(1), 13)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r2, axiom, r1_xxreal_0(k4_xcmplx_0(1), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r5, axiom, r1_xxreal_0(k4_xcmplx_0(1), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r6, axiom, r1_xxreal_0(k4_xcmplx_0(1), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r8, axiom, r1_xxreal_0(k4_xcmplx_0(1), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r9, axiom, r1_xxreal_0(k4_xcmplx_0(1), 9)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm10, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(10))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm5, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r1, axiom, r1_xxreal_0(k4_xcmplx_0(2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r10, axiom, r1_xxreal_0(k4_xcmplx_0(2), 10)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r13, axiom, r1_xxreal_0(k4_xcmplx_0(2), 13)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r2, axiom, r1_xxreal_0(k4_xcmplx_0(2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r5, axiom, r1_xxreal_0(k4_xcmplx_0(2), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r6, axiom, r1_xxreal_0(k4_xcmplx_0(2), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r8, axiom, r1_xxreal_0(k4_xcmplx_0(2), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r9, axiom, r1_xxreal_0(k4_xcmplx_0(2), 9)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r1, axiom, r1_xxreal_0(k4_xcmplx_0(5), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r10, axiom, r1_xxreal_0(k4_xcmplx_0(5), 10)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r2, axiom, r1_xxreal_0(k4_xcmplx_0(5), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r5, axiom, r1_xxreal_0(k4_xcmplx_0(5), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r6, axiom, r1_xxreal_0(k4_xcmplx_0(5), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r8, axiom, r1_xxreal_0(k4_xcmplx_0(5), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm5, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(5))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm8, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r1, axiom, r1_xxreal_0(k4_xcmplx_0(6), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r10, axiom, r1_xxreal_0(k4_xcmplx_0(6), 10)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r2, axiom, r1_xxreal_0(k4_xcmplx_0(6), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r6, axiom, r1_xxreal_0(k4_xcmplx_0(6), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r9, axiom, r1_xxreal_0(k4_xcmplx_0(6), 9)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_rm6, axiom, r1_xxreal_0(k4_xcmplx_0(6), k4_xcmplx_0(6))).
fof(rqLessOrEqual__r1_xxreal_0__rm6_rm8, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(6), k4_xcmplx_0(8))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r1, axiom, r1_xxreal_0(k4_xcmplx_0(8), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r2, axiom, r1_xxreal_0(k4_xcmplx_0(8), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r5, axiom, r1_xxreal_0(k4_xcmplx_0(8), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r6, axiom, r1_xxreal_0(k4_xcmplx_0(8), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r8, axiom, r1_xxreal_0(k4_xcmplx_0(8), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_r9, axiom, r1_xxreal_0(k4_xcmplx_0(8), 9)).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(8), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm5, axiom, r1_xxreal_0(k4_xcmplx_0(8), k4_xcmplx_0(5))).
fof(rqLessOrEqual__r1_xxreal_0__rm8_rm8, axiom, r1_xxreal_0(k4_xcmplx_0(8), k4_xcmplx_0(8))).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r1, axiom, r1_xxreal_0(k4_xcmplx_0(9), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r2, axiom, r1_xxreal_0(k4_xcmplx_0(9), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r8, axiom, r1_xxreal_0(k4_xcmplx_0(9), 8)).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r9, axiom, r1_xxreal_0(k4_xcmplx_0(9), 9)).
fof(rqLessOrEqual__r1_xxreal_0__rm9_rm9, axiom, r1_xxreal_0(k4_xcmplx_0(9), k4_xcmplx_0(9))).
fof(rqRealAdd__k2_xcmplx_0__r10_rm1_r9, axiom, k2_xcmplx_0(10, k4_xcmplx_0(1))=9).
fof(rqRealAdd__k2_xcmplx_0__r10_rm2_r8, axiom, k2_xcmplx_0(10, k4_xcmplx_0(2))=8).
fof(rqRealAdd__k2_xcmplx_0__r10_rm5_r5, axiom, k2_xcmplx_0(10, k4_xcmplx_0(5))=5).
fof(rqRealAdd__k2_xcmplx_0__r10_rm8_r2, axiom, k2_xcmplx_0(10, k4_xcmplx_0(8))=2).
fof(rqRealAdd__k2_xcmplx_0__r10_rm9_r1, axiom, k2_xcmplx_0(10, k4_xcmplx_0(9))=1).
fof(rqRealAdd__k2_xcmplx_0__r13_rm5_r8, axiom, k2_xcmplx_0(13, k4_xcmplx_0(5))=8).
fof(rqRealAdd__k2_xcmplx_0__r13_rm8_r5, axiom, k2_xcmplx_0(13, k4_xcmplx_0(8))=5).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_r5_r6, axiom, k2_xcmplx_0(1, 5)=6).
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__r1_rm10_rm9, axiom, k2_xcmplx_0(1, k4_xcmplx_0(10))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom, k2_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm6_rm5, axiom, k2_xcmplx_0(1, k4_xcmplx_0(6))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm9_rm8, axiom, k2_xcmplx_0(1, k4_xcmplx_0(9))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__r2_r6_r8, axiom, k2_xcmplx_0(2, 6)=8).
fof(rqRealAdd__k2_xcmplx_0__r2_r8_r10, axiom, k2_xcmplx_0(2, 8)=10).
fof(rqRealAdd__k2_xcmplx_0__r2_rm10_rm8, axiom, k2_xcmplx_0(2, k4_xcmplx_0(10))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(1))=1).
fof(rqRealAdd__k2_xcmplx_0__r2_rm8_rm6, axiom, k2_xcmplx_0(2, k4_xcmplx_0(8))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__r5_r1_r6, axiom, k2_xcmplx_0(5, 1)=6).
fof(rqRealAdd__k2_xcmplx_0__r5_r5_r10, axiom, k2_xcmplx_0(5, 5)=10).
fof(rqRealAdd__k2_xcmplx_0__r5_r8_r13, axiom, k2_xcmplx_0(5, 8)=13).
fof(rqRealAdd__k2_xcmplx_0__r5_rm10_rm5, axiom, k2_xcmplx_0(5, k4_xcmplx_0(10))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm13_rm8, axiom, k2_xcmplx_0(5, k4_xcmplx_0(13))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm6_rm1, axiom, k2_xcmplx_0(5, k4_xcmplx_0(6))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r6_r2_r8, axiom, k2_xcmplx_0(6, 2)=8).
fof(rqRealAdd__k2_xcmplx_0__r6_rm1_r5, axiom, k2_xcmplx_0(6, k4_xcmplx_0(1))=5).
fof(rqRealAdd__k2_xcmplx_0__r6_rm5_r1, axiom, k2_xcmplx_0(6, k4_xcmplx_0(5))=1).
fof(rqRealAdd__k2_xcmplx_0__r6_rm8_rm2, axiom, k2_xcmplx_0(6, k4_xcmplx_0(8))=k4_xcmplx_0(2)).
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__r8_r5_r13, axiom, k2_xcmplx_0(8, 5)=13).
fof(rqRealAdd__k2_xcmplx_0__r8_rm10_rm2, axiom, k2_xcmplx_0(8, k4_xcmplx_0(10))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r8_rm13_rm5, axiom, k2_xcmplx_0(8, k4_xcmplx_0(13))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r8_rm2_r6, axiom, k2_xcmplx_0(8, k4_xcmplx_0(2))=6).
fof(rqRealAdd__k2_xcmplx_0__r8_rm6_r2, axiom, k2_xcmplx_0(8, k4_xcmplx_0(6))=2).
fof(rqRealAdd__k2_xcmplx_0__r8_rm9_rm1, axiom, k2_xcmplx_0(8, k4_xcmplx_0(9))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r9_r1_r10, axiom, k2_xcmplx_0(9, 1)=10).
fof(rqRealAdd__k2_xcmplx_0__r9_rm10_rm1, axiom, k2_xcmplx_0(9, k4_xcmplx_0(10))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r9_rm1_r8, axiom, k2_xcmplx_0(9, k4_xcmplx_0(1))=8).
fof(rqRealAdd__k2_xcmplx_0__r9_rm8_r1, axiom, k2_xcmplx_0(9, k4_xcmplx_0(8))=1).
fof(rqRealAdd__k2_xcmplx_0__rm10_r1_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 1)=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r2_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 2)=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r5_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 5)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r8_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 8)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r9_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 9)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm13_r8_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 8)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r10_r9, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 10)=9).
fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 2)=1).
fof(rqRealAdd__k2_xcmplx_0__rm1_r6_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 6)=5).
fof(rqRealAdd__k2_xcmplx_0__rm1_r9_r8, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 9)=8).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm5_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(5))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm8_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(8))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm9_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(9))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r10_r8, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 10)=8).
fof(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r8_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 8)=6).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm6_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(6))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm8_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(8))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r10_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 10)=5).
fof(rqRealAdd__k2_xcmplx_0__rm5_r13_r8, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 13)=8).
fof(rqRealAdd__k2_xcmplx_0__rm5_r6_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 6)=1).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm1_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(1))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm5_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(5))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm8_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(8))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r1_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 1)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r5_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 5)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r8_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 8)=2).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm2_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(2))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r10_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 10)=2).
fof(rqRealAdd__k2_xcmplx_0__rm8_r13_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 13)=5).
fof(rqRealAdd__k2_xcmplx_0__rm8_r2_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 2)=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r6_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 6)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r9_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 9)=1).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm1_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(1))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm2_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(2))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm5_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(5))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r10_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 10)=1).
fof(rqRealAdd__k2_xcmplx_0__rm9_r1_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 1)=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r8_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 8)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm1_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(9), k4_xcmplx_0(1))=k4_xcmplx_0(10)).
fof(rqRealMult__k3_xcmplx_0__r10_r1_r10, axiom, k3_xcmplx_0(10, 1)=10).
fof(rqRealMult__k3_xcmplx_0__r13_r1_r13, axiom, k3_xcmplx_0(13, 1)=13).
fof(rqRealMult__k3_xcmplx_0__r1_r10_r10, axiom, k3_xcmplx_0(1, 10)=10).
fof(rqRealMult__k3_xcmplx_0__r1_r13_r13, axiom, k3_xcmplx_0(1, 13)=13).
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_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_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__r1_rm10_rm10, axiom, k3_xcmplx_0(1, k4_xcmplx_0(10))=k4_xcmplx_0(10)).
fof(rqRealMult__k3_xcmplx_0__r1_rm13_rm13, axiom, k3_xcmplx_0(1, k4_xcmplx_0(13))=k4_xcmplx_0(13)).
fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom, k3_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__r1_rm5_rm5, axiom, k3_xcmplx_0(1, k4_xcmplx_0(5))=k4_xcmplx_0(5)).
fof(rqRealMult__k3_xcmplx_0__r1_rm6_rm6, axiom, k3_xcmplx_0(1, k4_xcmplx_0(6))=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__r1_rm8_rm8, axiom, k3_xcmplx_0(1, k4_xcmplx_0(8))=k4_xcmplx_0(8)).
fof(rqRealMult__k3_xcmplx_0__r1_rm9_rm9, axiom, k3_xcmplx_0(1, k4_xcmplx_0(9))=k4_xcmplx_0(9)).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_r5_r10, axiom, k3_xcmplx_0(2, 5)=10).
fof(rqRealMult__k3_xcmplx_0__r2_rm5_rm10, axiom, k3_xcmplx_0(2, k4_xcmplx_0(5))=k4_xcmplx_0(10)).
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__r5_rm2_rm10, axiom, k3_xcmplx_0(5, k4_xcmplx_0(2))=k4_xcmplx_0(10)).
fof(rqRealMult__k3_xcmplx_0__r6_r1_r6, axiom, k3_xcmplx_0(6, 1)=6).
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(rqRealMult__k3_xcmplx_0__rm10_r1_rm10, axiom, k3_xcmplx_0(k4_xcmplx_0(10), 1)=k4_xcmplx_0(10)).
fof(rqRealMult__k3_xcmplx_0__rm13_r1_rm13, axiom, k3_xcmplx_0(k4_xcmplx_0(13), 1)=k4_xcmplx_0(13)).
fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rm2_r5_rm10, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 5)=k4_xcmplx_0(10)).
fof(rqRealMult__k3_xcmplx_0__rm2_rm5_r10, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(5))=10).
fof(rqRealMult__k3_xcmplx_0__rm5_r1_rm5, axiom, k3_xcmplx_0(k4_xcmplx_0(5), 1)=k4_xcmplx_0(5)).
fof(rqRealMult__k3_xcmplx_0__rm5_r2_rm10, axiom, k3_xcmplx_0(k4_xcmplx_0(5), 2)=k4_xcmplx_0(10)).
fof(rqRealMult__k3_xcmplx_0__rm5_rm2_r10, axiom, k3_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(2))=10).
fof(rqRealMult__k3_xcmplx_0__rm6_r1_rm6, axiom, k3_xcmplx_0(k4_xcmplx_0(6), 1)=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__rm8_r1_rm8, axiom, k3_xcmplx_0(k4_xcmplx_0(8), 1)=k4_xcmplx_0(8)).
fof(rqRealMult__k3_xcmplx_0__rm9_r1_rm9, axiom, k3_xcmplx_0(k4_xcmplx_0(9), 1)=k4_xcmplx_0(9)).
fof(rqRealNeg__k4_xcmplx_0__r10_rm10, axiom, k4_xcmplx_0(10)=k4_xcmplx_0(10)).
fof(rqRealNeg__k4_xcmplx_0__r13_rm13, axiom, k4_xcmplx_0(13)=k4_xcmplx_0(13)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r5_rm5, axiom, k4_xcmplx_0(5)=k4_xcmplx_0(5)).
fof(rqRealNeg__k4_xcmplx_0__r6_rm6, axiom, k4_xcmplx_0(6)=k4_xcmplx_0(6)).
fof(rqRealNeg__k4_xcmplx_0__r8_rm8, axiom, k4_xcmplx_0(8)=k4_xcmplx_0(8)).
fof(rqRealNeg__k4_xcmplx_0__r9_rm9, axiom, k4_xcmplx_0(9)=k4_xcmplx_0(9)).
fof(rqRealNeg__k4_xcmplx_0__rm10_r10, axiom, k4_xcmplx_0(k4_xcmplx_0(10))=10).
fof(rqRealNeg__k4_xcmplx_0__rm13_r13, axiom, k4_xcmplx_0(k4_xcmplx_0(13))=13).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm5_r5, axiom, k4_xcmplx_0(k4_xcmplx_0(5))=5).
fof(rqRealNeg__k4_xcmplx_0__rm6_r6, axiom, k4_xcmplx_0(k4_xcmplx_0(6))=6).
fof(rqRealNeg__k4_xcmplx_0__rm8_r8, axiom, k4_xcmplx_0(k4_xcmplx_0(8))=8).
fof(rqRealNeg__k4_xcmplx_0__rm9_r9, axiom, k4_xcmplx_0(k4_xcmplx_0(9))=9).
fof(spc10_boole, axiom,  ~ (v1_xboole_0(10)) ).
fof(spc10_numerals, axiom,  (v2_xxreal_0(10) & m1_subset_1(10, k4_ordinal1)) ).
fof(spc13_boole, axiom,  ~ (v1_xboole_0(13)) ).
fof(spc13_numerals, axiom,  (v2_xxreal_0(13) & m1_subset_1(13, 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_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
fof(spc2_boole, axiom,  ~ (v1_xboole_0(2)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(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(spc8_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(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(t1_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (k9_complex1(A)=A | k9_complex1(A)=k4_xcmplx_0(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(t28_absvalue, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (k9_complex1(A)=k9_complex1(B) &  ( ~ (A=B)  &  ~ (A=k4_xcmplx_0(B)) ) ) ) ) ) ) ) ).
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(t56_scmpds_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  ( (v1_ami_2(D) & m1_subset_1(D, u1_struct_0(k1_scmpds_2)))  =>  (! [E] :  ( (v1_ami_2(E) & m1_subset_1(E, u1_struct_0(k1_scmpds_2)))  =>  ( (r1_xxreal_0(k1_funct_1(A, k2_scmpds_2(k1_funct_1(A, D), B)), k5_numbers) => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k8_scmpds_2(D, B, C), A), k4_struct_0(k1_scmpds_2))=k17_scmpds_2(A, C))  &  ( ( ~ (r1_xxreal_0(k1_funct_1(A, k2_scmpds_2(k1_funct_1(A, D), B)), k5_numbers))  => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k8_scmpds_2(D, B, C), A), k4_struct_0(k1_scmpds_2))=k1_nat_1(k5_memstr_0(k5_card_1(2), k1_scmpds_2, A), 1))  & k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k8_scmpds_2(D, B, C), A), E)=k1_funct_1(A, E)) ) ) ) ) ) ) ) ) ) ) ) ).
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)) ) ) ) ) ) ) ) ).
