% Mizar problem: t1_csspace2,csspace2,490,2 
fof(t1_csspace2, conjecture,  (u1_struct_0(k18_csspace)=k11_csspace &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k18_csspace)) <=>  ( (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k5_numbers, k2_numbers)))) )  & v1_series_1(k20_valued_1(k5_numbers, k1_numbers, k1_numbers, k55_valued_1(k5_numbers, k2_numbers, k2_csspace(A)), k55_valued_1(k5_numbers, k2_numbers, k2_csspace(A))))) ) )  &  ( (! [A] :  (m1_subset_1(A, u1_struct_0(k18_csspace)) <=>  ( (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k5_numbers, k2_numbers)))) )  & v2_comseq_3(k19_valued_1(k5_numbers, k2_numbers, k2_numbers, k2_csspace(A), k2_comseq_2(k5_numbers, k2_csspace(A))))) ) )  &  (k4_struct_0(k18_csspace)=k6_csspace &  ( (! [A] : A=k2_csspace(A))  &  ( (! [A] :  (! [B] : k1_algstr_0(k18_csspace, A, B)=k1_series_1(k2_numbers, k2_csspace(A), k2_csspace(B))) )  &  ( (! [A] :  (! [B] : k1_clvect_1(k18_csspace, B, A)=k25_valued_1(k5_numbers, k2_numbers, k2_csspace(B), A)) )  &  ( (! [A] :  (k4_algstr_0(k18_csspace, A)=k31_valued_1(k5_numbers, k2_numbers, k2_csspace(A)) & r2_funct_2(k5_numbers, k2_numbers, k2_csspace(k4_algstr_0(k18_csspace, A)), k31_valued_1(k5_numbers, k2_numbers, k2_csspace(A)))) )  &  ( (! [A] :  (! [B] : k5_algstr_0(k18_csspace, A, B)=k46_valued_1(k5_numbers, k2_numbers, k2_numbers, k2_csspace(A), k2_csspace(B))) )  &  (! [A] :  (! [B] :  (v1_series_1(k20_valued_1(k5_numbers, k1_numbers, k1_numbers, k55_valued_1(k5_numbers, k2_numbers, k2_csspace(A)), k55_valued_1(k5_numbers, k2_numbers, k2_csspace(B)))) &  (! [C] :  (! [D] : k12_csspace(k18_csspace, C, D)=k11_comseq_3(k19_valued_1(k5_numbers, k2_numbers, k2_numbers, k2_csspace(C), k2_comseq_2(k5_numbers, k2_csspace(D))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc23_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v5_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) ) ) ) ).
fof(cc24_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v6_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) ) ) ) ).
fof(cc4_xxreal_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc5_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v3_xxreal_0(A))  =>  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) ) ) ) ).
fof(cc8_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xboole_0(A) & v1_xxreal_0(A)) ) ) ).
fof(fc46_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k24_valued_1(A, B)) &  (v5_relat_1(k24_valued_1(A, B), k3_numbers) & v1_funct_1(k24_valued_1(A, B))) ) ) ).
fof(fc51_valued_1, axiom,  (! [A, B, C, D] :  (v1_funct_1(k24_valued_1(C, D)) & v1_partfun1(k24_valued_1(C, D), A)) ) ).
fof(rc3_valued_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k5_numbers) &  (v5_relat_1(A, k5_numbers) &  (v1_funct_1(A) &  (v1_partfun1(A, k5_numbers) &  (v1_funct_2(A, k5_numbers, k5_numbers) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v4_valued_0(A) & v5_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(dt_k1_funct_1, axiom,  (! [A, B] : $true) ).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_tarski, axiom,  (! [A, B] : $true) ).
fof(cc10_membered, axiom,  (! [A] :  ($true => v5_membered(A)) ) ).
fof(cc11_valued_0, axiom,  (! [A] :  (! [B] :  ($true => v2_valued_0(B)) ) ) ).
fof(cc13_valued_0, axiom,  (! [A] :  (! [B] :  ($true => v5_relat_1(B, k3_numbers)) ) ) ).
fof(cc14_valued_0, axiom,  (! [A] :  (! [B] :  ($true => v5_relat_1(B, k4_numbers)) ) ) ).
fof(cc15_membered, axiom,  (! [A] :  (! [B] :  ($true => v1_rat_1(B)) ) ) ).
fof(cc19_valued_0, axiom,  (! [A, B] :  (! [C] :  ($true => v5_relat_1(C, k3_numbers)) ) ) ).
fof(cc22_membered, axiom,  (! [A] :  (! [B] :  ($true => v4_membered(B)) ) ) ).
fof(cc22_valued_0, axiom,  (! [A] :  ( (v1_zfmisc_1(A) &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) &  (v5_valued_0(A) & v6_valued_0(A)) ) ) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_seq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) &  (v1_seq_2(A) & v2_seq_2(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_comseq_2(A)) ) ) ) ) ).
fof(cc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(cc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc3_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v2_xxreal_0(A))  =>  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc5_subset_1, axiom,  (! [A] :  (! [B] :  ($true => v1_zfmisc_1(B)) ) ) ).
fof(cc6_xxreal_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ) ).
fof(cc7_xxreal_0, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  ($true => v4_membered(A)) ) ).
fof(fc100_valued_1, axiom,  (! [A, B, C] :  (v1_funct_1(k54_valued_1(C)) & v1_partfun1(k54_valued_1(C), A)) ) ).
fof(fc35_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k18_valued_1(A, B)) &  (v5_relat_1(k18_valued_1(A, B), k3_numbers) & v1_funct_1(k18_valued_1(A, B))) ) ) ).
fof(fc36_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k18_valued_1(A, B)) &  (v5_relat_1(k18_valued_1(A, B), k4_numbers) & v1_funct_1(k18_valued_1(A, B))) ) ) ).
fof(fc3_numbers, axiom,  ~ (v1_xboole_0(k3_numbers)) ).
fof(fc40_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k18_valued_1(D, E)) & v1_partfun1(k18_valued_1(D, E), A)) ) ).
fof(fc47_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k24_valued_1(A, B)) &  (v5_relat_1(k24_valued_1(A, B), k4_numbers) & v1_funct_1(k24_valued_1(A, B))) ) ) ).
fof(fc4_membered, axiom, v4_membered(k3_numbers)).
fof(fc4_numbers, axiom,  ~ (v1_xboole_0(k4_numbers)) ).
fof(fc4_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k1_valued_1(A, B)) &  (v5_relat_1(k1_valued_1(A, B), k3_numbers) & v1_funct_1(k1_valued_1(A, B))) ) ) ).
fof(fc52_valued_1, axiom,  (! [A, B, C, D] :  (v1_funct_1(k24_valued_1(C, D)) & v1_partfun1(k24_valued_1(C, D), A)) ) ).
fof(fc57_membered, axiom, v7_membered(k3_numbers)).
fof(fc57_valued_1, axiom,  (! [A] :  (v1_relat_1(k30_valued_1(A)) &  (v5_relat_1(k30_valued_1(A), k3_numbers) &  (v1_funct_1(k30_valued_1(A)) & v1_valued_0(k30_valued_1(A))) ) ) ) ).
fof(fc58_membered, axiom, v7_membered(k4_numbers)).
fof(fc58_valued_1, axiom,  (! [A] :  (v1_relat_1(k30_valued_1(A)) &  (v5_relat_1(k30_valued_1(A), k4_numbers) &  (v1_funct_1(k30_valued_1(A)) & v1_valued_0(k30_valued_1(A))) ) ) ) ).
fof(fc5_membered, axiom, v5_membered(k4_numbers)).
fof(fc5_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k1_valued_1(A, B)) &  (v5_relat_1(k1_valued_1(A, B), k4_numbers) & v1_funct_1(k1_valued_1(A, B))) ) ) ).
fof(fc61_valued_0, axiom,  (! [A, B] : v1_xcmplx_0(k1_funct_1(A, B))) ).
fof(fc61_valued_1, axiom,  (! [A, B, C] :  (v1_funct_1(k30_valued_1(C)) & v1_partfun1(k30_valued_1(C), A)) ) ).
fof(fc62_valued_0, axiom,  (! [A, B] : v1_xxreal_0(k1_funct_1(A, B))) ).
fof(fc63_valued_0, axiom,  (! [A, B] : v1_xreal_0(k1_funct_1(A, B))) ).
fof(fc64_valued_0, axiom,  (! [A, B] : v1_rat_1(k1_funct_1(A, B))) ).
fof(fc65_valued_0, axiom,  (! [A, B] : v1_int_1(k1_funct_1(A, B))) ).
fof(fc66_valued_0, axiom,  (! [A, B] : v7_ordinal1(k1_funct_1(A, B))) ).
fof(fc6_numbers, axiom,  ~ (v1_finset_1(k4_numbers)) ).
fof(fc7_numbers, axiom,  ~ (v1_finset_1(k3_numbers)) ).
fof(fc83_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k45_valued_1(A, B)) &  (v5_relat_1(k45_valued_1(A, B), k3_numbers) & v1_funct_1(k45_valued_1(A, B))) ) ) ).
fof(fc84_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k45_valued_1(A, B)) &  (v5_relat_1(k45_valued_1(A, B), k4_numbers) & v1_funct_1(k45_valued_1(A, B))) ) ) ).
fof(fc87_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k45_valued_1(D, E)) & v1_partfun1(k45_valued_1(D, E), A)) ) ).
fof(fc88_valued_0, axiom,  (! [A, B] : v5_relat_1(k2_zfmisc_1(A, B), k3_numbers)) ).
fof(fc97_valued_1, axiom,  (! [A] :  (v1_relat_1(k54_valued_1(A)) &  (v5_relat_1(k54_valued_1(A), k3_numbers) &  (v1_funct_1(k54_valued_1(A)) & v3_valued_0(k54_valued_1(A))) ) ) ) ).
fof(fc98_valued_1, axiom,  (! [A] :  (v1_relat_1(k54_valued_1(A)) &  (v1_funct_1(k54_valued_1(A)) &  (v3_valued_0(k54_valued_1(A)) & v4_valued_0(k54_valued_1(A))) ) ) ) ).
fof(fc9_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k1_valued_1(D, E)) & v1_partfun1(k1_valued_1(D, E), A)) ) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc21_struct_0, axiom,  (! [A] :  (? [B] :  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ).
fof(rc22_struct_0, axiom,  (! [A] :  (? [B] :  ~ (v1_zfmisc_1(B)) ) ) ).
fof(rc2_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc2_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
fof(rc4_xxreal_0, axiom,  (? [A] :  (v1_xboole_0(A) & v1_xxreal_0(A)) ) ).
fof(rc5_subset_1, axiom,  (! [A] :  (? [B] :  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ).
fof(rc5_valued_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k3_numbers) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v4_valued_0(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc6_subset_1, axiom,  (! [A] :  (? [B] :  ~ (v1_zfmisc_1(B)) ) ) ).
fof(free_g1_clvect_1, axiom,  (! [A, B, C, D] :  (! [E, F, G, H] :  (g1_clvect_1(A, B, C, D)=g1_clvect_1(E, F, G, H) =>  (A=E &  (B=F &  (C=G & D=H) ) ) ) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(dt_g1_clvect_1, axiom,  (! [A, B, C, D] :  (v1_clvect_1(g1_clvect_1(A, B, C, D)) & l1_clvect_1(g1_clvect_1(A, B, C, D))) ) ).
fof(dt_k1_binop_1, axiom,  (! [A, B, C] : $true) ).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_u1_clvect_1, axiom,  (! [A] :  (v1_funct_1(u1_clvect_1(A)) &  (v1_funct_2(u1_clvect_1(A), k2_zfmisc_1(k2_numbers, u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_clvect_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, u1_struct_0(A)), u1_struct_0(A))))) ) ) ).
fof(dt_u1_csspace, axiom,  (! [A] :  (v1_funct_1(u1_csspace(A)) &  (v1_funct_2(u1_csspace(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_numbers) & m1_subset_1(u1_csspace(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), k2_numbers)))) ) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (! [B] :  ($true => v6_ordinal1(B)) ) ) ).
fof(cc10_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  => v13_struct_0(A, np__1)) ) ).
fof(cc10_valued_0, axiom,  (! [A] :  (! [B] :  ($true => v1_valued_0(B)) ) ) ).
fof(cc11_struct_0, axiom,  (! [A] :  (v13_struct_0(A, np__1) =>  ( ~ (v2_struct_0(A))  & v7_struct_0(A)) ) ) ).
fof(cc12_valued_0, axiom,  (! [A] :  (! [B] :  ($true => v3_valued_0(B)) ) ) ).
fof(cc13_membered, axiom,  (! [A] :  (! [B] :  ($true => v1_xxreal_0(B)) ) ) ).
fof(cc15_valued_0, axiom,  (! [A] :  (! [B] :  ($true => v4_valued_0(B)) ) ) ).
fof(cc16_membered, axiom,  (! [A] :  (! [B] :  ($true => v1_int_1(B)) ) ) ).
fof(cc17_struct_0, axiom,  (! [A] :  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ).
fof(cc17_valued_0, axiom,  (! [A, B] :  (! [C] :  ($true => v2_valued_0(C)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_seq_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_comseq_2(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) &  (v1_seq_2(A) & v2_seq_2(A)) ) ) ) ) ) ).
fof(cc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) ) ) ).
fof(cc20_membered, axiom,  (! [A] :  (! [B] :  ($true => v2_membered(B)) ) ) ).
fof(cc20_valued_0, axiom,  (! [A, B] :  (! [C] :  ($true => v5_relat_1(C, k4_numbers)) ) ) ).
fof(cc23_membered, axiom,  (! [A] :  (! [B] :  ($true => v5_membered(B)) ) ) ).
fof(cc2_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k2_numbers) &  ~ (v1_comseq_2(A)) ) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k2_numbers) &  ~ (v2_comseq_2(A)) ) ) ) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc2_struct_0, axiom,  (! [A] :  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ).
fof(cc2_subset_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_subset_1(B, A))  =>  ~ (v1_xboole_0(B)) ) ) ) ).
fof(cc2_xcmplx_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xcmplx_0(A)) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (! [B] :  ($true => v3_ordinal1(B)) ) ) ).
fof(cc5_struct_0, axiom,  (! [A] :  ( ~ (v8_struct_0(A))  =>  ( ~ (v2_struct_0(A))  &  ~ (v8_struct_0(A)) ) ) ) ).
fof(cc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc6_struct_0, axiom,  (! [A] :  (v7_struct_0(A) => v8_struct_0(A)) ) ).
fof(cc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc7_struct_0, axiom,  (! [A] :  ( ~ (v8_struct_0(A))  =>  ~ (v7_struct_0(A)) ) ) ).
fof(cc7_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc8_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc9_struct_0, axiom,  (! [A] :  (v13_struct_0(A, k1_xboole_0) => v2_struct_0(A)) ) ).
fof(fc101_valued_1, axiom,  (! [A, B, C] :  (v1_funct_1(k54_valued_1(C)) & v1_partfun1(k54_valued_1(C), A)) ) ).
fof(fc10_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k1_valued_1(D, E)) & v1_partfun1(k1_valued_1(D, E), A)) ) ).
fof(fc111_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k30_valued_1(B)) &  (v4_relat_1(k30_valued_1(B), A) &  (v1_funct_1(k30_valued_1(B)) & v1_valued_0(k30_valued_1(B))) ) ) ) ).
fof(fc114_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k54_valued_1(B)) &  (v4_relat_1(k54_valued_1(B), A) &  (v1_funct_1(k54_valued_1(B)) & v3_valued_0(k54_valued_1(B))) ) ) ) ).
fof(fc115_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k30_valued_1(B)) &  (v1_funct_1(k30_valued_1(B)) &  (v1_partfun1(k30_valued_1(B), A) & v1_valued_0(k30_valued_1(B))) ) ) ) ).
fof(fc118_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k54_valued_1(B)) &  (v1_funct_1(k54_valued_1(B)) &  (v1_partfun1(k54_valued_1(B), A) & v3_valued_0(k54_valued_1(B))) ) ) ) ).
fof(fc121_valued_1, axiom,  (! [A, B, C] :  (v1_relat_1(k24_valued_1(B, C)) &  (v4_relat_1(k24_valued_1(B, C), A) & v1_funct_1(k24_valued_1(B, C))) ) ) ).
fof(fc124_valued_1, axiom,  (! [A, B, C] :  (v1_relat_1(k24_valued_1(B, C)) &  (v1_funct_1(k24_valued_1(B, C)) & v1_partfun1(k24_valued_1(B, C), A)) ) ) ).
fof(fc125_valued_1, axiom,  (! [A, B, C] :  (v1_relat_1(k1_valued_1(B, C)) &  (v4_relat_1(k1_valued_1(B, C), A) & v1_funct_1(k1_valued_1(B, C))) ) ) ).
fof(fc126_valued_1, axiom,  (! [A, B, C] :  (v1_relat_1(k45_valued_1(B, C)) &  (v4_relat_1(k45_valued_1(B, C), A) & v1_funct_1(k45_valued_1(B, C))) ) ) ).
fof(fc127_valued_1, axiom,  (! [A, B, C] :  (v1_relat_1(k18_valued_1(B, C)) &  (v4_relat_1(k18_valued_1(B, C), A) & v1_funct_1(k18_valued_1(B, C))) ) ) ).
fof(fc129_valued_1, axiom,  (! [A, B, C] :  (v1_relat_1(k1_valued_1(B, C)) &  (v1_funct_1(k1_valued_1(B, C)) & v1_partfun1(k1_valued_1(B, C), A)) ) ) ).
fof(fc130_valued_1, axiom,  (! [A, B, C] :  (v1_relat_1(k45_valued_1(B, C)) &  (v1_funct_1(k45_valued_1(B, C)) & v1_partfun1(k45_valued_1(B, C), A)) ) ) ).
fof(fc131_valued_1, axiom,  (! [A, B, C] :  (v1_relat_1(k18_valued_1(B, C)) &  (v1_funct_1(k18_valued_1(B, C)) & v1_partfun1(k18_valued_1(B, C), A)) ) ) ).
fof(fc1_comseq_2, axiom,  (! [A, B] :  (v1_relat_1(k1_comseq_2(B)) &  (v4_relat_1(k1_comseq_2(B), A) &  (v1_funct_1(k1_comseq_2(B)) & v1_valued_0(k1_comseq_2(B))) ) ) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc2_comseq_2, axiom,  (! [A, B] :  (v1_relat_1(k1_comseq_2(B)) &  (v4_relat_1(k1_comseq_2(B), A) &  (v1_funct_1(k1_comseq_2(B)) & v1_partfun1(k1_comseq_2(B), A)) ) ) ) ).
fof(fc2_seq_2, axiom,  (! [A, B] :  (v1_funct_1(k24_valued_1(B, A)) &  (v1_funct_2(k24_valued_1(B, A), k5_numbers, k1_numbers) & v2_comseq_2(k24_valued_1(B, A))) ) ) ).
fof(fc2_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k1_valued_1(A, B)) &  (v1_funct_1(k1_valued_1(A, B)) & v1_valued_0(k1_valued_1(A, B))) ) ) ).
fof(fc33_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k18_valued_1(A, B)) &  (v1_funct_1(k18_valued_1(A, B)) & v1_valued_0(k18_valued_1(A, B))) ) ) ).
fof(fc34_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k18_valued_1(A, B)) &  (v1_funct_1(k18_valued_1(A, B)) & v3_valued_0(k18_valued_1(A, B))) ) ) ).
fof(fc37_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k18_valued_1(A, B)) &  (v1_funct_1(k18_valued_1(A, B)) & v4_valued_0(k18_valued_1(A, B))) ) ) ).
fof(fc3_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k1_valued_1(A, B)) &  (v1_funct_1(k1_valued_1(A, B)) & v3_valued_0(k1_valued_1(A, B))) ) ) ).
fof(fc41_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k18_valued_1(D, E)) & v1_partfun1(k18_valued_1(D, E), A)) ) ).
fof(fc44_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k24_valued_1(A, B)) &  (v1_funct_1(k24_valued_1(A, B)) & v1_valued_0(k24_valued_1(A, B))) ) ) ).
fof(fc45_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k24_valued_1(A, B)) &  (v1_funct_1(k24_valued_1(A, B)) & v3_valued_0(k24_valued_1(A, B))) ) ) ).
fof(fc48_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k24_valued_1(A, B)) &  (v1_funct_1(k24_valued_1(A, B)) & v4_valued_0(k24_valued_1(A, B))) ) ) ).
fof(fc50_valued_1, axiom,  (! [A, B, C, D] :  (v1_funct_1(k24_valued_1(C, D)) & v1_partfun1(k24_valued_1(C, D), A)) ) ).
fof(fc53_valued_1, axiom,  (! [A, B, C, D] :  (v1_funct_1(k24_valued_1(C, D)) & v1_partfun1(k24_valued_1(C, D), A)) ) ).
fof(fc55_valued_1, axiom,  (! [A] :  (v1_relat_1(k30_valued_1(A)) &  (v1_funct_1(k30_valued_1(A)) & v1_valued_0(k30_valued_1(A))) ) ) ).
fof(fc56_valued_1, axiom,  (! [A] :  (v1_relat_1(k30_valued_1(A)) &  (v1_funct_1(k30_valued_1(A)) &  (v1_valued_0(k30_valued_1(A)) & v3_valued_0(k30_valued_1(A))) ) ) ) ).
fof(fc62_valued_1, axiom,  (! [A, B, C] :  (v1_funct_1(k30_valued_1(C)) & v1_partfun1(k30_valued_1(C), A)) ) ).
fof(fc6_struct_0, axiom,  (! [A] :  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ).
fof(fc6_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k1_valued_1(A, B)) &  (v1_funct_1(k1_valued_1(A, B)) & v4_valued_0(k1_valued_1(A, B))) ) ) ).
fof(fc7_struct_0, axiom,  (! [A] : v1_zfmisc_1(u1_struct_0(A))) ).
fof(fc81_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k45_valued_1(A, B)) &  (v1_funct_1(k45_valued_1(A, B)) & v1_valued_0(k45_valued_1(A, B))) ) ) ).
fof(fc82_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k45_valued_1(A, B)) &  (v1_funct_1(k45_valued_1(A, B)) & v3_valued_0(k45_valued_1(A, B))) ) ) ).
fof(fc86_valued_0, axiom,  (! [A, B] : v2_valued_0(k2_zfmisc_1(A, B))) ).
fof(fc88_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k45_valued_1(D, E)) & v1_partfun1(k45_valued_1(D, E), A)) ) ).
fof(fc89_valued_0, axiom,  (! [A, B] : v5_relat_1(k2_zfmisc_1(A, B), k4_numbers)) ).
fof(fc8_struct_0, axiom,  (! [A] : v1_finset_1(u1_struct_0(A))) ).
fof(fc9_struct_0, axiom,  (! [A] :  ~ (v1_finset_1(u1_struct_0(A))) ) ).
fof(rc17_struct_0, axiom,  (! [A] :  (? [B] : v9_struct_0(B, A)) ) ).
fof(rc19_struct_0, axiom,  (! [A] :  (? [B] :  ~ (v9_struct_0(B, A)) ) ) ).
fof(rc1_comseq_2, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k5_numbers) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k5_numbers) &  (v1_funct_2(A, k5_numbers, k2_numbers) &  (v1_valued_0(A) & v1_comseq_2(A)) ) ) ) ) ) ) ) ) ).
fof(rc1_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc1_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) ) ) ).
fof(rc20_struct_0, axiom,  (? [A] :  ( ~ (v2_struct_0(A))  & v7_struct_0(A)) ) ).
fof(rc2_comseq_2, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k5_numbers) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k5_numbers) &  (v1_funct_2(A, k5_numbers, k2_numbers) &  (v1_valued_0(A) & v2_comseq_2(A)) ) ) ) ) ) ) ) ) ).
fof(rc2_comseq_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k5_numbers) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k5_numbers) &  (v1_funct_2(A, k5_numbers, k2_numbers) &  (v1_valued_0(A) & v1_comseq_3(A)) ) ) ) ) ) ) ) ) ).
fof(rc3_comseq_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k5_numbers) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k5_numbers) &  (v1_funct_2(A, k5_numbers, k2_numbers) &  (v1_valued_0(A) & v2_comseq_3(A)) ) ) ) ) ) ) ) ) ).
fof(rc3_ordinal1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(B)) ) ) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  ~ (v1_subset_1(B, A)) ) ) ).
fof(rc4_comseq_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k5_numbers) &  (v5_relat_1(A, k2_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k5_numbers) &  (v1_funct_2(A, k5_numbers, k2_numbers) &  (v1_valued_0(A) & v2_comseq_3(A)) ) ) ) ) ) ) ) ) ).
fof(rc4_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc4_subset_1, axiom,  (! [A] :  (? [B] : v1_subset_1(B, A)) ) ).
fof(rc5_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc6_valued_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v4_valued_0(B)) ) ) ) ) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_hidden(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_hidden(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_hidden(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(d1_binop_1, axiom,  (! [A] :  (! [B] :  (! [C] : k1_binop_1(A, B, C)=k1_funct_1(A, k4_tarski(B, C))) ) ) ).
fof(commutativity_k18_valued_1, axiom,  (! [A, B] : k18_valued_1(A, B)=k18_valued_1(B, A)) ).
fof(involutiveness_k1_comseq_2, axiom,  (! [A] : k1_comseq_2(k1_comseq_2(A))=A) ).
fof(commutativity_k1_valued_1, axiom,  (! [A, B] : k1_valued_1(A, B)=k1_valued_1(B, A)) ).
fof(involutiveness_k30_valued_1, axiom,  (! [A] : k30_valued_1(k30_valued_1(A))=A) ).
fof(projectivity_k54_valued_1, axiom,  (! [A] : k54_valued_1(k54_valued_1(A))=k54_valued_1(A)) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(abstractness_v1_clvect_1, axiom,  (! [A] :  (v1_clvect_1(A) => A=g1_clvect_1(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A))) ) ).
fof(abstractness_v1_csspace, axiom,  (! [A] :  (v1_csspace(A) => A=g1_csspace(u1_struct_0(A), u2_struct_0(A), u1_algstr_0(A), u1_clvect_1(A), u1_csspace(A))) ) ).
fof(existence_l1_algstr_0, axiom,  (? [A] : l1_algstr_0(A)) ).
fof(existence_l1_clvect_1, axiom,  (? [A] : l1_clvect_1(A)) ).
fof(existence_l1_csspace, axiom,  (? [A] : l1_csspace(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l2_algstr_0, axiom,  (? [A] : l2_algstr_0(A)) ).
fof(existence_l2_struct_0, axiom,  (? [A] : l2_struct_0(A)) ).
fof(existence_m2_subset_1, axiom,  (! [A, B] :  (? [C] : m2_subset_1(C, A, B)) ) ).
fof(redefinition_k5_binop_1, axiom,  (! [A, B, C, D] : k5_binop_1(A, B, C, D)=k1_binop_1(B, C, D)) ).
fof(redefinition_m2_subset_1, axiom,  (! [A, B] :  (! [C] :  (m2_subset_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ).
fof(dt_k18_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k18_valued_1(A, B)) & v1_funct_1(k18_valued_1(A, B))) ) ).
fof(dt_k1_comseq_2, axiom,  (! [A] :  (v1_relat_1(k1_comseq_2(A)) &  (v1_funct_1(k1_comseq_2(A)) & v1_valued_0(k1_comseq_2(A))) ) ) ).
fof(dt_k1_csspace, axiom,  ~ (v1_xboole_0(k1_csspace)) ).
fof(dt_k1_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k1_valued_1(A, B)) & v1_funct_1(k1_valued_1(A, B))) ) ).
fof(dt_k24_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k24_valued_1(A, B)) & v1_funct_1(k24_valued_1(A, B))) ) ).
fof(dt_k30_valued_1, axiom,  (! [A] :  (v1_relat_1(k30_valued_1(A)) &  (v1_funct_1(k30_valued_1(A)) & v1_valued_0(k30_valued_1(A))) ) ) ).
fof(dt_k45_valued_1, axiom,  (! [A, B] :  (v1_relat_1(k45_valued_1(A, B)) & v1_funct_1(k45_valued_1(A, B))) ) ).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k54_valued_1, axiom,  (! [A] :  (v1_relat_1(k54_valued_1(A)) &  (v1_funct_1(k54_valued_1(A)) & v3_valued_0(k54_valued_1(A))) ) ) ).
fof(dt_k5_binop_1, axiom,  (! [A, B, C, D] : m1_subset_1(k5_binop_1(A, B, C, D), A)) ).
fof(dt_l1_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) => l1_struct_0(A)) ) ).
fof(dt_l1_clvect_1, axiom,  (! [A] :  (l1_clvect_1(A) => l2_algstr_0(A)) ) ).
fof(dt_l1_csspace, axiom,  (! [A] :  (l1_csspace(A) => l1_clvect_1(A)) ) ).
fof(dt_l1_struct_0, axiom,  (! [A] :  (l1_struct_0(A) => $true) ) ).
fof(dt_l2_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (l2_struct_0(A) & l1_algstr_0(A)) ) ) ).
fof(dt_l2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_m2_subset_1, axiom,  (! [A, B] :  (! [C] :  (m2_subset_1(C, A, B) => m1_subset_1(C, A)) ) ) ).
fof(dt_u1_algstr_0, axiom,  (! [A] :  (v1_funct_1(u1_algstr_0(A)) &  (v1_funct_2(u1_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_algstr_0(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ).
fof(dt_u2_struct_0, axiom,  (! [A] : m1_subset_1(u2_struct_0(A), u1_struct_0(A))) ).
fof(cc12_membered, axiom,  (! [A] :  (! [B] :  ($true => v1_xcmplx_0(B)) ) ) ).
fof(cc14_membered, axiom,  (! [A] :  (! [B] :  ($true => v1_xreal_0(B)) ) ) ).
fof(cc16_valued_0, axiom,  (! [A, B] :  (! [C] :  ($true => v1_valued_0(C)) ) ) ).
fof(cc17_membered, axiom,  (! [A] :  (! [B] :  ($true => v7_ordinal1(B)) ) ) ).
fof(cc18_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(A)) ) ).
fof(cc18_valued_0, axiom,  (! [A, B] :  (! [C] :  ($true => v3_valued_0(C)) ) ) ).
fof(cc19_membered, axiom,  (! [A] :  (! [B] :  ($true => v1_membered(B)) ) ) ).
fof(cc1_comseq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k2_numbers) & v2_comseq_2(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k2_numbers) & v1_comseq_2(A)) ) ) ) ).
fof(cc1_funct_2, axiom,  (! [A, B] :  (! [C] :  (v1_partfun1(C, A) => v1_funct_2(C, A, B)) ) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc1_struct_0, axiom,  (! [A] :  (v2_struct_0(A) => v7_struct_0(A)) ) ).
fof(cc1_subset_1, axiom,  (! [A] :  (! [B] :  ($true => v1_xboole_0(B)) ) ) ).
fof(cc21_membered, axiom,  (! [A] :  (! [B] :  ($true => v3_membered(B)) ) ) ).
fof(cc21_valued_0, axiom,  (! [A, B] :  (! [C] :  ($true => v4_valued_0(C)) ) ) ).
fof(cc24_membered, axiom,  (! [A] :  (! [B] :  ($true => v6_membered(B)) ) ) ).
fof(cc26_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(cc28_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k2_numbers))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc2_funct_2, axiom,  (! [A, B] :  (! [C] :  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ).
fof(cc30_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_numbers))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc31_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k5_numbers))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc3_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k2_numbers) & v1_comseq_3(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k2_numbers) & v2_comseq_2(A)) ) ) ) ).
fof(cc3_funct_2, axiom,  (! [A, B] :  (! [C] :  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_relset_1, axiom,  (! [A, B] :  (! [C] :  ($true => v1_xboole_0(C)) ) ) ).
fof(cc3_subset_1, axiom,  (! [A] :  (! [B] :  (v1_xboole_0(B) => v1_subset_1(B, A)) ) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc4_relset_1, axiom,  (! [A, B] :  (! [C] :  ($true => v1_xboole_0(C)) ) ) ).
fof(cc4_seq_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k1_numbers) & v2_comseq_2(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k1_numbers) & v1_comseq_2(A)) ) ) ) ).
fof(cc4_struct_0, axiom,  (! [A] :  (v2_struct_0(A) =>  (v2_struct_0(A) & v8_struct_0(A)) ) ) ).
fof(cc4_subset_1, axiom,  (! [A] :  (! [B] :  ($true =>  ~ (v1_subset_1(B, A)) ) ) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc8_funct_2, axiom,  (! [A, B] :  (! [C] :  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & v1_funct_2(C, A, B)) ) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  ($true => v7_ordinal1(A)) ) ).
fof(cc8_struct_0, axiom,  (! [A] :  (v2_struct_0(A) => v13_struct_0(A, k1_xboole_0)) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc9_valued_0, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(fc10_comseq_3, axiom,  (! [A, B] :  (v1_funct_1(k1_valued_1(A, B)) &  (v1_funct_2(k1_valued_1(A, B), k5_numbers, k2_numbers) & v1_comseq_3(k1_valued_1(A, B))) ) ) ).
fof(fc10_struct_0, axiom,  (! [A] : v9_struct_0(k4_struct_0(A), A)) ).
fof(fc10_subset_1, axiom,  (! [A, B] :  ~ (v1_xboole_0(k2_zfmisc_1(A, B))) ) ).
fof(fc11_comseq_3, axiom,  (! [A, B] :  (v1_funct_1(k45_valued_1(A, B)) &  (v1_funct_2(k45_valued_1(A, B), k5_numbers, k2_numbers) & v1_comseq_3(k45_valued_1(A, B))) ) ) ).
fof(fc11_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k1_valued_1(D, E)) & v1_partfun1(k1_valued_1(D, E), A)) ) ).
fof(fc12_comseq_3, axiom,  (! [A, B] :  (v1_funct_1(k24_valued_1(B, A)) &  (v1_funct_2(k24_valued_1(B, A), k5_numbers, k2_numbers) & v1_comseq_3(k24_valued_1(B, A))) ) ) ).
fof(fc1_seq_2, axiom,  (! [A, B] :  (v1_funct_1(k1_valued_1(A, B)) &  (v1_funct_2(k1_valued_1(A, B), k5_numbers, k1_numbers) & v2_comseq_2(k1_valued_1(A, B))) ) ) ).
fof(fc1_struct_0, axiom,  (! [A] : v1_xboole_0(u1_struct_0(A))) ).
fof(fc2_struct_0, axiom,  (! [A] :  ~ (v1_xboole_0(u1_struct_0(A))) ) ).
fof(fc38_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k18_valued_1(D, E)) & v1_partfun1(k18_valued_1(D, E), A)) ) ).
fof(fc39_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k18_valued_1(D, E)) & v1_partfun1(k18_valued_1(D, E), A)) ) ).
fof(fc3_comseq_2, axiom,  (! [A] :  (v1_funct_1(k1_comseq_2(A)) &  (v1_funct_2(k1_comseq_2(A), k5_numbers, k2_numbers) & v2_comseq_2(k1_comseq_2(A))) ) ) ).
fof(fc3_csspace, axiom,  (! [A, B, C, D, E] :  ( ~ (v2_struct_0(g1_csspace(A, B, C, D, E)))  & v1_csspace(g1_csspace(A, B, C, D, E))) ) ).
fof(fc3_seq_2, axiom,  (! [A] :  (v1_funct_1(k30_valued_1(A)) &  (v1_funct_2(k30_valued_1(A), k5_numbers, k1_numbers) & v2_comseq_2(k30_valued_1(A))) ) ) ).
fof(fc42_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k18_valued_1(D, E)) & v1_partfun1(k18_valued_1(D, E), A)) ) ).
fof(fc49_valued_1, axiom,  (! [A, B, C, D] :  (v1_funct_1(k24_valued_1(C, D)) & v1_partfun1(k24_valued_1(C, D), A)) ) ).
fof(fc4_comseq_2, axiom,  (! [A, B] :  (v1_funct_1(k1_valued_1(A, B)) &  (v1_funct_2(k1_valued_1(A, B), k5_numbers, k2_numbers) & v2_comseq_2(k1_valued_1(A, B))) ) ) ).
fof(fc4_seq_2, axiom,  (! [A, B] :  (v1_funct_1(k45_valued_1(A, B)) &  (v1_funct_2(k45_valued_1(A, B), k5_numbers, k1_numbers) & v2_comseq_2(k45_valued_1(A, B))) ) ) ).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc59_valued_1, axiom,  (! [A, B, C] :  (v1_funct_1(k30_valued_1(C)) & v1_partfun1(k30_valued_1(C), A)) ) ).
fof(fc5_comseq_2, axiom,  (! [A, B] :  (v1_funct_1(k24_valued_1(A, B)) &  (v1_funct_2(k24_valued_1(A, B), k5_numbers, k2_numbers) & v2_comseq_2(k24_valued_1(A, B))) ) ) ).
fof(fc5_seq_2, axiom,  (! [A, B] :  (v1_funct_1(k18_valued_1(A, B)) &  (v1_funct_2(k18_valued_1(A, B), k5_numbers, k1_numbers) & v2_comseq_2(k18_valued_1(A, B))) ) ) ).
fof(fc60_valued_1, axiom,  (! [A, B, C] :  (v1_funct_1(k30_valued_1(C)) & v1_partfun1(k30_valued_1(C), A)) ) ).
fof(fc6_comseq_2, axiom,  (! [A] :  (v1_funct_1(k30_valued_1(A)) &  (v1_funct_2(k30_valued_1(A), k5_numbers, k2_numbers) & v2_comseq_2(k30_valued_1(A))) ) ) ).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_seq_2, axiom,  (! [A] :  (v1_funct_1(k54_valued_1(A)) &  (v1_funct_2(k54_valued_1(A), k5_numbers, k1_numbers) & v2_comseq_2(k54_valued_1(A))) ) ) ).
fof(fc6_xcmplx_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(k4_xcmplx_0(A)))  & v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(fc7_comseq_2, axiom,  (! [A, B] :  (v1_funct_1(k45_valued_1(A, B)) &  (v1_funct_2(k45_valued_1(A, B), k5_numbers, k2_numbers) & v2_comseq_2(k45_valued_1(A, B))) ) ) ).
fof(fc7_comseq_3, axiom,  (! [A] :  (v1_funct_1(k54_valued_1(A)) &  (v1_funct_2(k54_valued_1(A), k5_numbers, k1_numbers) & v1_series_1(k54_valued_1(A))) ) ) ).
fof(fc7_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k1_valued_1(D, E)) & v1_partfun1(k1_valued_1(D, E), A)) ) ).
fof(fc85_valued_0, axiom,  (! [A, B] : v1_valued_0(k2_zfmisc_1(A, B))) ).
fof(fc85_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k45_valued_1(D, E)) & v1_partfun1(k45_valued_1(D, E), A)) ) ).
fof(fc86_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k45_valued_1(D, E)) & v1_partfun1(k45_valued_1(D, E), A)) ) ).
fof(fc87_valued_0, axiom,  (! [A, B] : v3_valued_0(k2_zfmisc_1(A, B))) ).
fof(fc8_comseq_2, axiom,  (! [A, B] :  (v1_funct_1(k18_valued_1(A, B)) &  (v1_funct_2(k18_valued_1(A, B), k5_numbers, k2_numbers) & v2_comseq_2(k18_valued_1(A, B))) ) ) ).
fof(fc8_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k1_valued_1(D, E)) & v1_partfun1(k1_valued_1(D, E), A)) ) ).
fof(fc90_valued_0, axiom,  (! [A, B] : v4_valued_0(k2_zfmisc_1(A, B))) ).
fof(fc99_valued_1, axiom,  (! [A, B, C] :  (v1_funct_1(k54_valued_1(C)) & v1_partfun1(k54_valued_1(C), A)) ) ).
fof(rc1_csspace, axiom,  (? [A] : v1_csspace(A)) ).
fof(rc1_funct_2, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ).
fof(rc1_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc1_relset_1, axiom,  (! [A, B] :  (? [C] :  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ) ).
fof(rc1_subset_1, axiom,  (! [A] :  (? [B] :  ~ (v1_xboole_0(B)) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc2_csspace, axiom,  (? [A] :  ( ~ (v2_struct_0(A))  & v1_csspace(A)) ) ).
fof(rc2_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] : v1_xboole_0(B)) ) ).
fof(rc2_valued_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k5_numbers) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xcmplx_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_xcmplx_0(A)) ) ).
fof(rc3_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(A)) ) ) ).
fof(rc3_valued_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k5_numbers) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ) ) ) ).
fof(rc4_struct_0, axiom,  (! [A] :  (? [B] :  ~ (v1_xboole_0(B)) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_hidden(A, B)) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_hidden(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(d6_valued_1, axiom,  (! [A] : k30_valued_1(A)=k24_valued_1(A, k4_xcmplx_0(np__1))) ).
fof(d9_valued_1, axiom,  (! [A] :  (! [B] : k45_valued_1(A, B)=k1_valued_1(A, k30_valued_1(B))) ) ).
fof(free_g1_csspace, axiom,  (! [A, B, C, D, E] :  (! [F, G, H, I, J] :  (g1_csspace(A, B, C, D, E)=g1_csspace(F, G, H, I, J) =>  (A=F &  (B=G &  (C=H &  (D=I & E=J) ) ) ) ) ) ) ).
fof(commutativity_k19_valued_1, axiom,  (! [A, B, C, D, E] : k19_valued_1(A, B, C, D, E)=k19_valued_1(A, B, C, E, D)) ).
fof(commutativity_k1_series_1, axiom,  (! [A, B, C] : k1_series_1(A, B, C)=k1_series_1(A, C, B)) ).
fof(commutativity_k20_valued_1, axiom,  (! [A, B, C, D, E] : k20_valued_1(A, B, C, D, E)=k20_valued_1(A, B, C, E, D)) ).
fof(involutiveness_k2_comseq_2, axiom,  (! [A, B] : k2_comseq_2(A, k2_comseq_2(A, B))=B) ).
fof(involutiveness_k31_valued_1, axiom,  (! [A, B, C] : k31_valued_1(A, B, k31_valued_1(A, B, C))=C) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] : k4_xcmplx_0(k4_xcmplx_0(A))=A) ).
fof(projectivity_k55_valued_1, axiom,  (! [A, B, C] : k55_valued_1(A, B, k55_valued_1(A, B, C))=k55_valued_1(A, B, C)) ).
fof(symmetry_r2_funct_2, axiom,  (! [A, B, C, D] :  (r2_funct_2(A, B, C, D) => r2_funct_2(A, B, D, C)) ) ).
fof(reflexivity_r2_funct_2, axiom,  (! [A, B, C, D] : r2_funct_2(A, B, C, C)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(redefinition_k19_valued_1, axiom,  (! [A, B, C, D, E] : k19_valued_1(A, B, C, D, E)=k18_valued_1(D, E)) ).
fof(redefinition_k1_series_1, axiom,  (! [A, B, C] : k1_series_1(A, B, C)=k1_valued_1(B, C)) ).
fof(redefinition_k20_valued_1, axiom,  (! [A, B, C, D, E] : k20_valued_1(A, B, C, D, E)=k18_valued_1(D, E)) ).
fof(redefinition_k25_valued_1, axiom,  (! [A, B, C, D] : k25_valued_1(A, B, C, D)=k24_valued_1(C, D)) ).
fof(redefinition_k2_comseq_2, axiom,  (! [A, B] : k2_comseq_2(A, B)=k1_comseq_2(B)) ).
fof(redefinition_k31_valued_1, axiom,  (! [A, B, C] : k31_valued_1(A, B, C)=k30_valued_1(C)) ).
fof(redefinition_k46_valued_1, axiom,  (! [A, B, C, D, E] : k46_valued_1(A, B, C, D, E)=k45_valued_1(D, E)) ).
fof(redefinition_k55_valued_1, axiom,  (! [A, B, C] : k55_valued_1(A, B, C)=k54_valued_1(C)) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k4_ordinal1).
fof(redefinition_r2_funct_2, axiom,  (! [A, B, C, D] :  (r2_funct_2(A, B, C, D) <=> C=D) ) ).
fof(dt_g1_csspace, axiom,  (! [A, B, C, D, E] :  (v1_csspace(g1_csspace(A, B, C, D, E)) & l1_csspace(g1_csspace(A, B, C, D, E))) ) ).
fof(dt_k10_csspace, axiom,  (! [A, B] : m1_subset_1(k10_csspace(A, B), B)) ).
fof(dt_k11_comseq_3, axiom,  (! [A] : m1_subset_1(k11_comseq_3(A), k2_numbers)) ).
fof(dt_k11_csspace, axiom, m1_subset_1(k11_csspace, k1_zfmisc_1(u1_struct_0(k7_csspace)))).
fof(dt_k12_csspace, axiom,  (! [A, B, C] : v1_xcmplx_0(k12_csspace(A, B, C))) ).
fof(dt_k17_csspace, axiom,  (v1_funct_1(k17_csspace) &  (v1_funct_2(k17_csspace, k2_zfmisc_1(k11_csspace, k11_csspace), k2_numbers) & m1_subset_1(k17_csspace, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k11_csspace, k11_csspace), k2_numbers)))) ) ).
fof(dt_k18_csspace, axiom,  ( ~ (v2_struct_0(k18_csspace))  & l1_csspace(k18_csspace)) ).
fof(dt_k19_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k19_valued_1(A, B, C, D, E)) & m1_subset_1(k19_valued_1(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) ).
fof(dt_k1_algstr_0, axiom,  (! [A, B, C] : m1_subset_1(k1_algstr_0(A, B, C), u1_struct_0(A))) ).
fof(dt_k1_clvect_1, axiom,  (! [A, B, C] : m1_subset_1(k1_clvect_1(A, B, C), u1_struct_0(A))) ).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k1_series_1, axiom,  (! [A, B, C] :  (v1_funct_1(k1_series_1(A, B, C)) &  (v1_funct_2(k1_series_1(A, B, C), k5_numbers, A) & m1_subset_1(k1_series_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k5_numbers, A)))) ) ) ).
fof(dt_k1_zfmisc_1, axiom,  (! [A] : $true) ).
fof(dt_k20_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k20_valued_1(A, B, C, D, E)) & m1_subset_1(k20_valued_1(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ).
fof(dt_k25_valued_1, axiom,  (! [A, B, C, D] :  (v1_funct_1(k25_valued_1(A, B, C, D)) & m1_subset_1(k25_valued_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) ).
fof(dt_k2_comseq_2, axiom,  (! [A, B] :  (v1_funct_1(k2_comseq_2(A, B)) &  (v1_funct_2(k2_comseq_2(A, B), A, k2_numbers) & m1_subset_1(k2_comseq_2(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) ) ).
fof(dt_k2_csspace, axiom,  (! [A] :  (v1_funct_1(k2_csspace(A)) &  (v1_funct_2(k2_csspace(A), k5_numbers, k2_numbers) & m1_subset_1(k2_csspace(A), k1_zfmisc_1(k2_zfmisc_1(k5_numbers, k2_numbers)))) ) ) ).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_zfmisc_1, axiom,  (! [A, B] : $true) ).
fof(dt_k31_valued_1, axiom,  (! [A, B, C] :  (v1_funct_1(k31_valued_1(A, B, C)) & m1_subset_1(k31_valued_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) ).
fof(dt_k46_valued_1, axiom,  (! [A, B, C, D, E] :  (v1_funct_1(k46_valued_1(A, B, C, D, E)) & m1_subset_1(k46_valued_1(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(A, k2_numbers)))) ) ).
fof(dt_k4_algstr_0, axiom,  (! [A, B] : m1_subset_1(k4_algstr_0(A, B), u1_struct_0(A))) ).
fof(dt_k4_struct_0, axiom,  (! [A] : m1_subset_1(k4_struct_0(A), u1_struct_0(A))) ).
fof(dt_k4_xcmplx_0, axiom,  (! [A] : v1_xcmplx_0(k4_xcmplx_0(A))) ).
fof(dt_k55_valued_1, axiom,  (! [A, B, C] :  (v1_funct_1(k55_valued_1(A, B, C)) & m1_subset_1(k55_valued_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ).
fof(dt_k5_algstr_0, axiom,  (! [A, B, C] : m1_subset_1(k5_algstr_0(A, B, C), u1_struct_0(A))) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k1_zfmisc_1(k1_numbers))).
fof(dt_k6_csspace, axiom, m1_subset_1(k6_csspace, k1_csspace)).
fof(dt_k7_csspace, axiom,  ( ~ (v2_struct_0(k7_csspace))  &  (v1_clvect_1(k7_csspace) & l1_clvect_1(k7_csspace)) ) ).
fof(dt_k8_csspace, axiom,  (! [A, B] :  (v1_funct_1(k8_csspace(A, B)) &  (v1_funct_2(k8_csspace(A, B), k2_zfmisc_1(B, B), B) & m1_subset_1(k8_csspace(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) ).
fof(dt_k9_csspace, axiom,  (! [A, B] :  (v1_funct_1(k9_csspace(A, B)) &  (v1_funct_2(k9_csspace(A, B), k2_zfmisc_1(k2_numbers, B), B) & m1_subset_1(k9_csspace(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k2_numbers, B), B)))) ) ) ).
fof(dt_m1_subset_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) => $true) ) ) ).
fof(dt_u1_struct_0, axiom,  (! [A] : $true) ).
fof(cc11_membered, axiom,  (! [A] :  ($true => v6_membered(A)) ) ).
fof(cc1_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k1_numbers) & v1_series_1(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k1_numbers) & v2_comseq_2(A)) ) ) ) ).
fof(cc1_relset_1, axiom,  (! [A, B] :  (! [C] :  ($true => v1_relat_1(C)) ) ) ).
fof(cc1_xcmplx_0, axiom,  (! [A] :  ($true => v1_xcmplx_0(A)) ) ).
fof(cc25_membered, axiom,  (! [A] :  ($true => v6_membered(A)) ) ).
fof(cc2_relset_1, axiom,  (! [A, B] :  (! [C] :  ($true =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(cc3_xcmplx_0, axiom,  (! [A] :  ($true => v1_xcmplx_0(A)) ) ).
fof(cc4_comseq_3, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k2_numbers) & v2_comseq_3(A)) )  =>  (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k2_numbers) & v1_comseq_3(A)) ) ) ) ).
fof(cc4_funct_2, axiom,  (! [A] :  (! [B] :  (v1_funct_2(B, A, A) => v1_partfun1(B, A)) ) ) ).
fof(cc6_membered, axiom,  (! [A] :  ($true => v1_membered(A)) ) ).
fof(cc8_membered, axiom,  (! [A] :  ($true => v3_membered(A)) ) ).
fof(fc1_membered, axiom, v1_membered(k2_numbers)).
fof(fc1_numbers, axiom,  ~ (v1_xboole_0(k1_numbers)) ).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc2_csspace, axiom,  ( ~ (v2_struct_0(k7_csspace))  &  (v13_algstr_0(k7_csspace) &  (v2_rlvect_1(k7_csspace) &  (v3_rlvect_1(k7_csspace) &  (v4_rlvect_1(k7_csspace) &  (v1_clvect_1(k7_csspace) &  (v2_clvect_1(k7_csspace) &  (v3_clvect_1(k7_csspace) &  (v4_clvect_1(k7_csspace) & v5_clvect_1(k7_csspace)) ) ) ) ) ) ) ) ) ).
fof(fc2_numbers, axiom,  ~ (v1_xboole_0(k2_numbers)) ).
fof(fc3_membered, axiom, v3_membered(k1_numbers)).
fof(fc4_csspace, axiom,  ( ~ (v2_struct_0(g1_csspace(k11_csspace, k10_csspace(k7_csspace, k11_csspace), k8_csspace(k7_csspace, k11_csspace), k9_csspace(k7_csspace, k11_csspace), k17_csspace)))  & v1_csspace(g1_csspace(k11_csspace, k10_csspace(k7_csspace, k11_csspace), k8_csspace(k7_csspace, k11_csspace), k9_csspace(k7_csspace, k11_csspace), k17_csspace))) ).
fof(fc55_membered, axiom, v7_membered(k2_numbers)).
fof(fc56_membered, axiom, v7_membered(k1_numbers)).
fof(fc5_csspace, axiom,  ( ~ (v2_struct_0(k18_csspace))  &  (v13_algstr_0(k18_csspace) &  (v2_rlvect_1(k18_csspace) &  (v3_rlvect_1(k18_csspace) &  (v4_rlvect_1(k18_csspace) &  (v2_clvect_1(k18_csspace) &  (v3_clvect_1(k18_csspace) &  (v4_clvect_1(k18_csspace) & v5_clvect_1(k18_csspace)) ) ) ) ) ) ) ) ).
fof(fc8_numbers, axiom,  ~ (v1_finset_1(k1_numbers)) ).
fof(fc9_numbers, axiom,  ~ (v1_finset_1(k2_numbers)) ).
fof(rc1_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(np__1))=np__1).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(d1_algstr_0, axiom,  (! [A] :  (! [B] :  (! [C] : k1_algstr_0(A, B, C)=k5_binop_1(u1_struct_0(A), u1_algstr_0(A), B, C)) ) ) ).
fof(d6_struct_0, axiom,  (! [A] : k4_struct_0(A)=u2_struct_0(A)) ).
fof(d14_algstr_0, axiom,  (! [A] :  (! [B] :  (! [C] : k5_algstr_0(A, B, C)=k1_algstr_0(A, B, k4_algstr_0(A, C))) ) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(np__1)) ).
fof(spc1_numerals, axiom,  ( (v2_xxreal_0(np__1) & m2_subset_1(np__1, k1_numbers, k5_numbers))  &  (m1_subset_1(np__1, k5_numbers) & m1_subset_1(np__1, k1_numbers)) ) ).
fof(l9_csspace2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k18_csspace)) <=>  ( (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k5_numbers, k2_numbers)))) )  & v1_series_1(k20_valued_1(k5_numbers, k1_numbers, k1_numbers, k55_valued_1(k5_numbers, k2_numbers, k2_csspace(A)), k55_valued_1(k5_numbers, k2_numbers, k2_csspace(A))))) ) ) ).
fof(l10_csspace2, axiom, k4_struct_0(k18_csspace)=k6_csspace).
fof(l11_csspace2, axiom,  (! [A] : A=k2_csspace(A)) ).
fof(l12_csspace2, axiom,  (! [A] :  (! [B] : k1_algstr_0(k18_csspace, A, B)=k1_series_1(k2_numbers, k2_csspace(A), k2_csspace(B))) ) ).
fof(l13_csspace2, axiom,  (! [A] :  (! [B] : k1_clvect_1(k18_csspace, B, A)=k25_valued_1(k5_numbers, k2_numbers, k2_csspace(B), A)) ) ).
fof(l14_csspace2, axiom,  (! [A] :  (k4_algstr_0(k18_csspace, A)=k31_valued_1(k5_numbers, k2_numbers, k2_csspace(A)) & r2_funct_2(k5_numbers, k2_numbers, k2_csspace(k4_algstr_0(k18_csspace, A)), k31_valued_1(k5_numbers, k2_numbers, k2_csspace(A)))) ) ).
fof(l15_csspace2, axiom,  (! [A] :  (! [B] : k5_algstr_0(k18_csspace, A, B)=k46_valued_1(k5_numbers, k2_numbers, k2_numbers, k2_csspace(A), k2_csspace(B))) ) ).
fof(l16_csspace2, axiom,  (! [A] :  (! [B] : v1_series_1(k20_valued_1(k5_numbers, k1_numbers, k1_numbers, k55_valued_1(k5_numbers, k2_numbers, k2_csspace(A)), k55_valued_1(k5_numbers, k2_numbers, k2_csspace(B))))) ) ).
fof(l17_csspace2, axiom,  (! [A] :  (! [B] : k12_csspace(k18_csspace, A, B)=k11_comseq_3(k19_valued_1(k5_numbers, k2_numbers, k2_numbers, k2_csspace(A), k2_comseq_2(k5_numbers, k2_csspace(B))))) ) ).
fof(l19_csspace2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k18_csspace)) <=>  ( (v1_funct_1(A) &  (v1_funct_2(A, k5_numbers, k2_numbers) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k5_numbers, k2_numbers)))) )  & v2_comseq_3(k19_valued_1(k5_numbers, k2_numbers, k2_numbers, k2_csspace(A), k2_comseq_2(k5_numbers, k2_csspace(A))))) ) ) ).
fof(d18_csspace, axiom, k18_csspace=g1_csspace(k11_csspace, k10_csspace(k7_csspace, k11_csspace), k8_csspace(k7_csspace, k11_csspace), k9_csspace(k7_csspace, k11_csspace), k17_csspace)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(np__1)=k4_xcmplx_0(np__1)).