% Mizar problem: t63_glib_010,glib_010,3627,5 
fof(t63_glib_010, conjecture,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m1_glib_000(C, B) =>  (! [D] :  (m1_glib_010(D, A, B) =>  ( (v6_glib_010(D, A, B) => v6_glib_010(k11_glib_010(A, B, C, D), A, C))  &  ( (v9_glib_010(D, A, B) => v9_glib_010(k11_glib_010(A, B, C, D), A, C))  &  ( (v8_glib_010(D, A, B) => v8_glib_010(k11_glib_010(A, B, C, D), A, C))  &  ( ~ ( ( ~ (v7_glib_010(D, A, B))  & v7_glib_010(k11_glib_010(A, B, C, D), A, C)) )  &  ( (v10_glib_010(D, A, B) => v10_glib_010(k11_glib_010(A, B, C, D), A, C))  &  ( (v11_glib_010(D, A, B) => v11_glib_010(k11_glib_010(A, B, C, D), A, C))  &  ( (v12_glib_010(D, A, B) => v12_glib_010(k11_glib_010(A, B, C, D), A, C))  &  ( (v13_glib_010(D, A, B) => v13_glib_010(k11_glib_010(A, B, C, D), A, C))  &  (v14_glib_010(D, A, B) => v14_glib_010(k11_glib_010(A, B, C, D), A, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) => v4_glib_000(B)) ) ) ) ).
fof(cc10_glib_008, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v4_glib_000(A) & v1_glib_008(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) ) ) ) ).
fof(cc10_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( (v8_glib_010(C, A, B) & v13_glib_010(C, A, B))  => v14_glib_010(C, A, B)) ) ) ) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc11_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_card_1(A))  =>  (! [B] :  (v3_card_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc11_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v5_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) => v5_glib_000(B)) ) ) ) ).
fof(cc11_glib_008, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ( ~ (v4_glib_000(A))  & v1_glib_008(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ( ~ (v1_glib_002(A))  &  ( ~ (v3_glib_002(A))  &  ~ (v2_chord(A)) ) ) ) ) ) ) ) ) ) ).
fof(cc11_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v14_glib_010(C, A, B) => v12_glib_010(C, A, B)) ) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v16_glib_000(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v6_glib_002(A)) ) ) ) ) ).
fof(cc12_glib_008, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_002(A) & v1_glib_008(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) ) ) ) ).
fof(cc12_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( (v9_glib_010(C, A, B) & v14_glib_010(C, A, B))  =>  (v10_glib_010(C, A, B) & v13_glib_010(C, A, B)) ) ) ) ) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v15_glib_000(A) & v16_glib_000(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v8_glib_002(A)) ) ) ) ) ).
fof(cc13_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v6_glib_010(C, A, B) =>  (v9_glib_010(C, A, B) &  (v10_glib_010(C, A, B) &  (v12_glib_010(C, A, B) & v14_glib_010(C, A, B)) ) ) ) ) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v7_glib_002(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v20_glib_000(A)) ) ) ) ) ).
fof(cc14_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v7_glib_010(C, A, B) =>  ~ (v6_glib_010(C, A, B)) ) ) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v8_glib_002(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v6_glib_002(A) & v7_glib_002(A)) ) ) ) ) ) ).
fof(cc15_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v8_glib_010(C, A, B) =>  ~ (v6_glib_010(C, A, B)) ) ) ) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc16_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v6_glib_002(A) & v7_glib_002(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v8_glib_002(A)) ) ) ) ) ).
fof(cc16_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v3_glib_000(B)) ) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( (v10_glib_010(C, A, B) & v11_glib_010(C, A, B))  => v13_glib_010(C, A, B)) ) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v3_glib_000(B)) ) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( (v10_glib_010(C, A, B) & v12_glib_010(C, A, B))  => v14_glib_010(C, A, B)) ) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) => v10_glib_010(C, A, B)) ) ) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v11_glib_010(C, A, B) => v13_glib_010(C, A, B)) ) ) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_abian, axiom,  (! [A] :  (v2_setfam_1(A) => v1_zfmisc_1(A)) ) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(A)) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(A)) ) ).
fof(cc1_funcop_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) ) ) ) ) ) ).
fof(cc1_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_funct_1(A)) ) ).
fof(cc1_funct_7, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc1_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v5_glib_000(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v6_glib_000(A)) ) ) ) ) ) ) ).
fof(cc1_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_002(A)) ) ) ) ) ) ) ).
fof(cc1_glib_008, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (v11_glib_000(B, A) =>  ~ (v5_glib_002(B, A)) ) ) ) ) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_necklace, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_zfmisc_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(A)) ) ).
fof(cc1_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc20_glib_000, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) ) ) ).
fof(cc20_glib_008, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_008(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (v10_glib_000(B, A) &  ( ~ (v11_glib_000(B, A))  &  ~ (v5_glib_002(B, A)) ) ) ) ) ) ) ).
fof(cc20_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v12_glib_010(C, A, B) => v14_glib_010(C, A, B)) ) ) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc21_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v4_glib_000(A) & v6_glib_000(A)) ) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) => v9_glib_010(C, A, B)) ) ) ) ).
fof(cc22_glib_000, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v14_glib_000(A) &  (v15_glib_000(A) &  (v16_glib_000(A) &  (v17_glib_000(A) &  (v18_glib_000(A) &  (v19_glib_000(A) &  (v20_glib_000(A) & v21_glib_000(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc22_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v4_glib_000(A) & v1_glib_008(A)) ) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( ~ (v6_glib_010(C, A, B))  => v7_glib_010(C, A, B)) ) ) ) ) ).
fof(cc23_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v18_glib_000(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v19_glib_000(A)) ) ) ) ) ).
fof(cc23_glib_008, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v15_glib_000(A) & v16_glib_000(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v2_glib_008(A)) ) ) ) ) ).
fof(cc23_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v4_glib_000(B) & v1_glib_008(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( ~ (v6_glib_010(C, A, B))  => v8_glib_010(C, A, B)) ) ) ) ) ).
fof(cc24_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v20_glib_000(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v15_glib_000(A) & v18_glib_000(A)) ) ) ) ) ) ).
fof(cc24_glib_008, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v2_glib_008(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v15_glib_000(A) &  (v18_glib_000(A) &  (v19_glib_000(A) &  (v20_glib_000(A) &  (v21_glib_000(A) & v7_glib_002(A)) ) ) ) ) ) ) ) ) ) ).
fof(cc24_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v4_glib_000(B) & v1_glib_008(B)) ) ) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v11_glib_010(C, A, B) & v12_glib_010(C, A, B)) ) ) ) ) ).
fof(cc25_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v15_glib_000(A) & v18_glib_000(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v20_glib_000(A)) ) ) ) ) ).
fof(cc25_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v15_glib_010(C, A, B) =>  ( ~ (v6_glib_010(C, A, B))  &  (v7_glib_010(C, A, B) &  (v9_glib_010(C, A, B) & v11_glib_010(C, A, B)) ) ) ) ) ) ) ) ).
fof(cc26_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v15_glib_000(A) & v19_glib_000(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v21_glib_000(A)) ) ) ) ) ).
fof(cc26_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( (v7_glib_010(C, A, B) & v9_glib_010(C, A, B))  => v15_glib_010(C, A, B)) ) ) ) ) ).
fof(cc27_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v21_glib_000(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v15_glib_000(A) & v19_glib_000(A)) ) ) ) ) ) ).
fof(cc27_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v16_glib_010(C, A, B) =>  ( ~ (v6_glib_010(C, A, B))  &  (v7_glib_010(C, A, B) &  (v9_glib_010(C, A, B) &  (v12_glib_010(C, A, B) & v15_glib_010(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(cc28_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v15_glib_000(A) & v16_glib_000(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v14_glib_000(A)) ) ) ) ) ).
fof(cc28_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( (v7_glib_010(C, A, B) &  (v9_glib_010(C, A, B) & v12_glib_010(C, A, B)) )  => v16_glib_010(C, A, B)) ) ) ) ) ).
fof(cc29_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v16_glib_000(A) & v19_glib_000(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v14_glib_000(A)) ) ) ) ) ).
fof(cc29_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( (v12_glib_010(C, A, B) & v15_glib_010(C, A, B))  => v16_glib_010(C, A, B)) ) ) ) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_finset_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_finset_1(B)) ) ) ) ).
fof(cc2_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funcop_1(A)) ) ) ) ).
fof(cc2_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(cc2_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v7_glib_000(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v5_glib_000(A)) ) ) ) ) ) ) ) ).
fof(cc2_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v4_glib_000(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) ) ) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_relat_1(B)) ) ) ) ).
fof(cc2_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc30_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v6_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) => v6_glib_000(B)) ) ) ) ).
fof(cc30_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v17_glib_010(C, A, B) =>  ( ~ (v6_glib_010(C, A, B))  &  (v7_glib_010(C, A, B) &  (v8_glib_010(C, A, B) &  (v9_glib_010(C, A, B) &  (v11_glib_010(C, A, B) &  (v12_glib_010(C, A, B) &  (v15_glib_010(C, A, B) & v16_glib_010(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc31_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( (v7_glib_010(C, A, B) &  (v8_glib_010(C, A, B) &  (v9_glib_010(C, A, B) & v12_glib_010(C, A, B)) ) )  => v17_glib_010(C, A, B)) ) ) ) ) ).
fof(cc32_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( (v8_glib_010(C, A, B) & v16_glib_010(C, A, B))  => v17_glib_010(C, A, B)) ) ) ) ) ).
fof(cc33_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v4_glib_000(A) & v6_glib_000(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v5_glib_000(A)) ) ) ) ) ) ) ).
fof(cc33_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( (v8_glib_010(C, A, B) &  (v12_glib_010(C, A, B) & v15_glib_010(C, A, B)) )  => v17_glib_010(C, A, B)) ) ) ) ) ).
fof(cc34_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v18_glib_010(C, A, B) =>  ( ~ (v6_glib_010(C, A, B))  &  (v7_glib_010(C, A, B) &  (v9_glib_010(C, A, B) &  (v10_glib_010(C, A, B) &  (v11_glib_010(C, A, B) &  (v12_glib_010(C, A, B) &  (v13_glib_010(C, A, B) &  (v15_glib_010(C, A, B) &  (v16_glib_010(C, A, B) & v17_glib_010(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc35_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (v10_glib_000(B, A) =>  ~ (v11_glib_000(B, A)) ) ) ) ) ) ).
fof(cc35_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( (v10_glib_010(C, A, B) & v17_glib_010(C, A, B))  =>  (v14_glib_010(C, A, B) & v18_glib_010(C, A, B)) ) ) ) ) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(cc3_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(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_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v5_glib_000(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v7_glib_000(A)) ) ) ) ) ) ) ).
fof(cc3_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_002(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v7_glib_000(A)) ) ) ) ) ) ) ).
fof(cc3_glib_006, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  (v10_glib_000(B, A) =>  ~ (v5_glib_002(B, A)) ) ) ) ) ) ).
fof(cc3_glib_008, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_008(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) &  (v5_glib_000(A) &  (v6_glib_000(A) &  (v7_glib_000(A) & v8_glib_000(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc3_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) => v1_xtuple_0(C)) ) ) ) ).
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_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
fof(cc3_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_xboole_0(C)) ) ) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc47_glib_006, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ( ~ (v4_glib_000(A))  & v1_glib_002(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k6_glib_000(A)) =>  ~ (v10_glib_000(B, A)) ) ) ) ) ).
fof(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(A)) ) ).
fof(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(A)) ) ).
fof(cc4_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc4_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v6_glib_000(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v8_glib_000(A)) ) ) ) ) ) ) ).
fof(cc4_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_002(A) & v2_glib_002(A)) ) ) ) ) ) ) ) ).
fof(cc4_glib_006, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_chord(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_002(A)) ) ) ) ) ) ) ).
fof(cc4_glib_008, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v4_glib_000(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_008(A)) ) ) ) ) ) ) ).
fof(cc4_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v9_glib_010(C, A, B) => v11_glib_010(C, A, B)) ) ) ) ) ).
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_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_relat_1(A)) ) ) ).
fof(cc4_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) => v1_xboole_0(C)) ) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(cc5_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(cc5_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc5_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v8_glib_000(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v6_glib_000(A)) ) ) ) ) ) ) ) ).
fof(cc5_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_002(A) & v2_glib_002(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_002(A)) ) ) ) ) ) ) ).
fof(cc5_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( (v9_glib_010(C, A, B) & v10_glib_010(C, A, B))  => v13_glib_010(C, A, B)) ) ) ) ) ).
fof(cc5_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(A)) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc5_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v4_relat_1(C, A)) ) ) ) ).
fof(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(cc6_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_1(A)) ) ).
fof(cc6_funct_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc6_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v3_glib_000(A) & v4_glib_000(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) ) ) ) ).
fof(cc6_glib_008, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_008(A)) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) => v1_glib_008(B)) ) ) ) ).
fof(cc6_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( (v8_glib_010(C, A, B) & v9_glib_010(C, A, B))  => v12_glib_010(C, A, B)) ) ) ) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc6_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v5_relat_1(C, A)) ) ) ) ).
fof(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_0(A)) ) ).
fof(cc7_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(cc7_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
fof(cc7_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v4_glib_000(A) & v6_glib_000(A)) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) ) ) ) ).
fof(cc7_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_002(A)) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) => v2_glib_002(B)) ) ) ) ).
fof(cc7_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( (v8_glib_010(C, A, B) &  (v9_glib_010(C, A, B) & v10_glib_010(C, A, B)) )  => v14_glib_010(C, A, B)) ) ) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v4_relat_1(B, A)) ) ) ) ) ) ).
fof(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(cc8_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_finset_1(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_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) => v2_glib_000(B)) ) ) ) ).
fof(cc8_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  ( (v8_glib_010(C, A, B) & v11_glib_010(C, A, B))  => v12_glib_010(C, A, B)) ) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(cc9_card_1, axiom,  (! [A] :  (v3_card_1(A, 1) =>  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ) ).
fof(cc9_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(A)) ) ) ).
fof(cc9_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_funct_1(B)) ) ) ) ).
fof(cc9_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v3_glib_000(A)) ) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) => v3_glib_000(B)) ) ) ) ).
fof(cc9_glib_008, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_008(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_002(A) & v6_chord(A)) ) ) ) ) ) ) ) ).
fof(cc9_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v13_glib_010(C, A, B) =>  (v10_glib_010(C, A, B) & v11_glib_010(C, A, B)) ) ) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(commutativity_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k3_xboole_0(B, A)) ).
fof(commutativity_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k9_subset_1(A, C, B)) ) ).
fof(d10_xboole_0, axiom,  (! [A] :  (! [B] :  (A=B <=>  (r1_tarski(A, B) & r1_tarski(B, A)) ) ) ) ).
fof(d12_glib_010, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v8_glib_010(C, A, B) <=>  (k2_relset_1(k6_glib_000(B), k5_glib_010(A, B, C))=k6_glib_000(B) & k2_relset_1(k7_glib_000(B), k6_glib_010(A, B, C))=k7_glib_000(B)) ) ) ) ) ) ) ) ).
fof(d13_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r1_glib_000(A, B, C, D) <=>  (r2_hidden(D, k7_glib_000(A)) &  ( (k1_funct_1(k10_glib_000(A), D)=B & k1_funct_1(k11_glib_000(A), D)=C)  |  (k1_funct_1(k10_glib_000(A), D)=C & k1_funct_1(k11_glib_000(A), D)=B) ) ) ) ) ) ) ) ) ).
fof(d14_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (! [C] :  (! [D] :  (r2_glib_000(A, B, C, D) <=>  (r2_hidden(D, k7_glib_000(A)) &  (k1_funct_1(k10_glib_000(A), D)=B & k1_funct_1(k11_glib_000(A), D)=C) ) ) ) ) ) ) ) ).
fof(d14_glib_010, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v10_glib_010(C, A, B) <=>  (! [D] :  (! [E] :  (! [F] :  ( (r2_hidden(D, k1_relset_1(k7_glib_000(A), k6_glib_010(A, B, C))) &  (r2_hidden(E, k1_relset_1(k6_glib_000(A), k5_glib_010(A, B, C))) &  (r2_hidden(F, k1_relset_1(k6_glib_000(A), k5_glib_010(A, B, C))) & r2_glib_000(A, E, F, D)) ) )  => r2_glib_000(B, k1_funct_1(k5_glib_010(A, B, C), E), k1_funct_1(k5_glib_010(A, B, C), F), k1_funct_1(k6_glib_010(A, B, C), D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_glib_010, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v11_glib_010(C, A, B) <=>  (! [D] :  (! [E] :  (! [F] :  ( (r2_hidden(D, k1_relset_1(k7_glib_000(A), k6_glib_010(A, B, C))) &  (r2_hidden(E, k1_relset_1(k6_glib_000(A), k5_glib_010(A, B, C))) &  (r2_hidden(F, k1_relset_1(k6_glib_000(A), k5_glib_010(A, B, C))) & r1_glib_000(B, k1_funct_1(k5_glib_010(A, B, C), E), k1_funct_1(k5_glib_010(A, B, C), F), k1_funct_1(k6_glib_010(A, B, C), D))) ) )  => r1_glib_000(A, E, F, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_glib_010, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m1_glib_010(C, A, B) =>  (v13_glib_010(C, A, B) <=>  (! [D] :  (! [E] :  (! [F] :  ( (r2_hidden(D, k1_relset_1(k7_glib_000(A), k6_glib_010(A, B, C))) &  (r2_hidden(E, k1_relset_1(k6_glib_000(A), k5_glib_010(A, B, C))) &  (r2_hidden(F, k1_relset_1(k6_glib_000(A), k5_glib_010(A, B, C))) & r2_glib_000(B, k1_funct_1(k5_glib_010(A, B, C), E), k1_funct_1(k5_glib_010(A, B, C), F), k1_funct_1(k6_glib_010(A, B, C), D))) ) )  => r2_glib_000(A, E, F, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(d32_glib_010, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  =>  (! [C] :  (m1_glib_000(C, B) =>  (! [D] :  (m1_glib_010(D, A, B) => k11_glib_010(A, B, C, D)=k4_tarski(k3_partfun2(k6_glib_000(A), k6_glib_000(B), k24_glib_000(B, C), k5_glib_010(A, B, D)), k6_relset_1(k7_glib_000(A), k7_glib_000(B), k25_glib_000(B, C), k6_glib_010(A, B, D)))) ) ) ) ) ) ) ) ).
fof(dt_k10_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_funct_1(k10_glib_000(A)) &  (v1_funct_2(k10_glib_000(A), k7_glib_000(A), k6_glib_000(A)) & m1_subset_1(k10_glib_000(A), k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A), k6_glib_000(A))))) ) ) ) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k11_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (v1_funct_1(k11_glib_000(A)) &  (v1_funct_2(k11_glib_000(A), k7_glib_000(A), k6_glib_000(A)) & m1_subset_1(k11_glib_000(A), k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A), k6_glib_000(A))))) ) ) ) ).
fof(dt_k11_glib_010, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  &  (m1_glib_000(C, B) & m1_glib_010(D, A, B)) ) )  => m1_glib_010(k11_glib_010(A, B, C, D), A, C)) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => m1_subset_1(k1_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_xtuple_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k24_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_glib_000(B, A))  =>  ( ~ (v1_xboole_0(k24_glib_000(A, B)))  & m1_subset_1(k24_glib_000(A, B), k1_zfmisc_1(k6_glib_000(A)))) ) ) ).
fof(dt_k25_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_glib_000(B, A))  => m1_subset_1(k25_glib_000(A, B), k1_zfmisc_1(k7_glib_000(A)))) ) ).
fof(dt_k2_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => m1_subset_1(k2_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k2_xtuple_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_partfun2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (v1_funct_1(k3_partfun2(A, B, C, D)) & m1_subset_1(k3_partfun2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ).
fof(dt_k3_xboole_0, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k5_glib_010, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  & m1_glib_010(C, A, B)) )  =>  (v1_funct_1(k5_glib_010(A, B, C)) & m1_subset_1(k5_glib_010(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k6_glib_000(A), k6_glib_000(B))))) ) ) ).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k6_glib_000, axiom, $true).
fof(dt_k6_glib_010, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  & m1_glib_010(C, A, B)) )  =>  (v1_funct_1(k6_glib_010(A, B, C)) & m1_subset_1(k6_glib_010(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k7_glib_000(A), k7_glib_000(B))))) ) ) ).
fof(dt_k6_relat_1, axiom,  (! [A, B] :  (v1_relat_1(B) => v1_relat_1(k6_relat_1(A, B))) ) ).
fof(dt_k6_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) => m1_subset_1(k6_relset_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ).
fof(dt_k7_glib_000, axiom, $true).
fof(dt_k8_glib_000, axiom, $true).
fof(dt_k9_glib_000, axiom, $true).
fof(dt_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => m1_subset_1(k9_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_m1_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) ) ) ) ) ).
fof(dt_m1_glib_010, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(existence_m1_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] : m1_glib_000(B, A)) ) ) ).
fof(existence_m1_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (? [C] : m1_glib_010(C, A, B)) ) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc10_finset_1, axiom,  (! [A, B] :  (v1_finset_1(B) => v1_finset_1(k3_xboole_0(A, B))) ) ).
fof(fc10_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  => v1_setfam_1(k10_xtuple_0(A))) ) ).
fof(fc10_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ).
fof(fc10_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_ordinal1(A))  =>  ~ (v10_ordinal1(k10_xtuple_0(A))) ) ) ).
fof(fc10_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
fof(fc11_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k3_xboole_0(A, B))) ) ).
fof(fc11_funct_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  ~ (v1_xboole_0(k1_funct_1(A, B))) ) ) ).
fof(fc11_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v9_ordinal1(A)) )  => v10_ordinal1(k10_xtuple_0(A))) ) ).
fof(fc11_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A))) ) ).
fof(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(A))) ) ) ).
fof(fc12_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc12_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) & v1_finset_1(k1_funct_1(A, B))) ) ) ).
fof(fc13_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(A, B))) ) ) ).
fof(fc13_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ~ (v1_zfmisc_1(k10_xtuple_0(A))) ) ) ).
fof(fc14_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, A))) ) ) ).
fof(fc14_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_zfmisc_1(A, B))) ) ).
fof(fc14_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v1_glib_000(k1_funct_1(A, B))) ) ).
fof(fc16_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v14_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v2_glib_000(k1_funct_1(A, B))) ) ).
fof(fc17_card_1, axiom,  (! [A, B] :  ( (v1_card_1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) )  => v3_card_1(k9_xtuple_0(B), A)) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc17_funct_1, axiom,  (! [A, B, C] :  ( (v4_funct_1(A) &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_1(C, B)) & v1_funct_1(k1_funct_1(C, B))) ) ) ).
fof(fc18_abian, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_setfam_1(B))  &  ( (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  & m1_subset_1(D, A)) ) )  =>  ~ (v1_xboole_0(k1_funct_1(C, D))) ) ) ).
fof(fc18_funct_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  ~ (v1_zfmisc_1(k9_xtuple_0(A))) ) ) ).
fof(fc18_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v15_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v3_glib_000(k1_funct_1(A, B))) ) ).
fof(fc18_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  =>  (v1_xboole_0(k6_relat_1(B, A)) & v1_relat_1(k6_relat_1(B, A))) ) ) ).
fof(fc19_abian, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_setfam_1(k1_zfmisc_1(A))) ) ) ).
fof(fc19_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k9_xtuple_0(A))) ) ).
fof(fc19_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v3_relat_1(A) & v1_funct_1(A)) )  => v1_xboole_0(k1_funct_1(A, B))) ) ).
fof(fc1_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  ~ (v1_xboole_0(k6_glib_000(A))) ) ) ).
fof(fc1_glib_002, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v6_glib_002(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v1_glib_002(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(fc1_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k3_xboole_0(A, B))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc1_xtuple_0, axiom,  (! [A, B] : v1_xtuple_0(k4_tarski(A, B))) ).
fof(fc20_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v16_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v4_glib_000(k1_funct_1(A, B))) ) ).
fof(fc22_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k10_xtuple_0(A))) ) ).
fof(fc22_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v17_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  ~ (v4_glib_000(k1_funct_1(A, B))) ) ) ).
fof(fc22_glib_008, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ~ (v1_glib_008(A)) ) ) ) ) )  =>  ~ (v1_xboole_0(k7_glib_000(A))) ) ) ).
fof(fc24_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v18_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v5_glib_000(k1_funct_1(A, B))) ) ).
fof(fc24_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k9_xtuple_0(A))) ) ).
fof(fc25_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_finset_1(B))  =>  (v1_relat_1(k6_relat_1(A, B)) & v1_finset_1(k6_relat_1(A, B))) ) ) ).
fof(fc25_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc26_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v19_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v6_glib_000(k1_funct_1(A, B))) ) ).
fof(fc26_glib_008, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v2_glib_008(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v1_glib_008(k1_funct_1(A, B))) ) ).
fof(fc28_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v20_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v7_glib_000(k1_funct_1(A, B))) ) ).
fof(fc2_glib_002, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v7_glib_002(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v2_glib_002(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(fc2_glib_008, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_008(A)) ) ) ) )  => v1_xboole_0(k7_glib_000(A))) ) ).
fof(fc2_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc30_glib_000, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v21_glib_000(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => v8_glib_000(k1_funct_1(A, B))) ) ).
fof(fc31_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc31_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v4_relat_1(C, A))  =>  (v1_relat_1(k6_relat_1(B, C)) & v4_relat_1(k6_relat_1(B, C), A)) ) ) ).
fof(fc32_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  => v1_zfmisc_1(k6_glib_000(A))) ) ).
fof(fc32_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v5_relat_1(C, B))  =>  (v1_relat_1(k6_relat_1(A, C)) &  (v5_relat_1(k6_relat_1(A, C), A) & v5_relat_1(k6_relat_1(A, C), B)) ) ) ) ).
fof(fc33_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v4_glib_000(A) & v6_glib_000(A)) ) ) ) ) )  => v1_zfmisc_1(k7_glib_000(A))) ) ).
fof(fc35_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  => v1_finset_1(k1_funct_1(A, B))) ) ).
fof(fc36_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_finset_1(A))  => v5_finset_1(k10_xtuple_0(A))) ) ).
fof(fc3_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v1_finset_1(k6_glib_000(A))) ) ).
fof(fc3_glib_002, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v8_glib_002(A)) ) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  (v1_relat_1(k1_funct_1(A, B)) &  (v4_relat_1(k1_funct_1(A, B), k4_ordinal1) &  (v1_funct_1(k1_funct_1(A, B)) &  (v1_finset_1(k1_funct_1(A, B)) &  (v1_glib_000(k1_funct_1(A, B)) & v3_glib_002(k1_funct_1(A, B))) ) ) ) ) ) ) ).
fof(fc4_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_000(A)) ) ) ) )  => v1_finset_1(k7_glib_000(A))) ) ).
fof(fc4_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  => v3_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc4_xtuple_0, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
fof(fc5_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glib_000(A)) ) ) ) )  => v1_finset_1(k6_glib_000(A))) ) ).
fof(fc5_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc5_xtuple_0, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A))) ) ).
fof(fc69_glib_010, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  & m1_glib_010(C, A, B)) )  =>  (v1_relat_1(k1_xtuple_0(C)) & v1_funct_1(k1_xtuple_0(C))) ) ) ).
fof(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(fc70_glib_010, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  & m1_glib_010(C, A, B)) )  =>  (v1_relat_1(k2_xtuple_0(C)) & v1_funct_1(k2_xtuple_0(C))) ) ) ).
fof(fc71_glib_010, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  & m1_glib_010(C, A, B)) )  =>  (v1_relat_1(k1_xtuple_0(C)) &  (v4_relat_1(k1_xtuple_0(C), k6_glib_000(A)) &  (v5_relat_1(k1_xtuple_0(C), k6_glib_000(B)) & v1_funct_1(k1_xtuple_0(C))) ) ) ) ) ).
fof(fc72_glib_010, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  & m1_glib_010(C, A, B)) )  =>  (v1_relat_1(k2_xtuple_0(C)) &  (v4_relat_1(k2_xtuple_0(C), k7_glib_000(A)) &  (v5_relat_1(k2_xtuple_0(C), k7_glib_000(B)) & v1_funct_1(k2_xtuple_0(C))) ) ) ) ) ).
fof(fc73_glib_010, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  &  (v6_glib_010(C, A, B) & m1_glib_010(C, A, B)) ) )  => v1_xboole_0(k1_xtuple_0(C))) ) ).
fof(fc74_glib_010, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  &  (v6_glib_010(C, A, B) & m1_glib_010(C, A, B)) ) )  => v1_xboole_0(k2_xtuple_0(C))) ) ).
fof(fc75_glib_010, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  &  ( ~ (v6_glib_010(C, A, B))  & m1_glib_010(C, A, B)) ) )  =>  ~ (v1_xboole_0(k1_xtuple_0(C))) ) ) ).
fof(fc76_glib_010, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  &  (v9_glib_010(C, A, B) & m1_glib_010(C, A, B)) ) )  =>  (v1_relat_1(k1_xtuple_0(C)) &  (v1_funct_1(k1_xtuple_0(C)) & v2_funct_1(k1_xtuple_0(C))) ) ) ) ).
fof(fc77_glib_010, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  &  (v9_glib_010(C, A, B) & m1_glib_010(C, A, B)) ) )  =>  (v1_relat_1(k2_xtuple_0(C)) &  (v1_funct_1(k2_xtuple_0(C)) & v2_funct_1(k2_xtuple_0(C))) ) ) ) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k9_xtuple_0(A))) ) ) ).
fof(fc8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))) => v1_relat_1(k9_xtuple_0(D))) ) ).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ).
fof(fc9_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v1_relat_1(k6_relat_1(A, B)) & v1_funct_1(k6_relat_1(A, B))) ) ) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k10_xtuple_0(A))) ) ) ).
fof(fc9_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) => v1_relat_1(k10_xtuple_0(D))) ) ).
fof(idempotence_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, A)=A) ).
fof(idempotence_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, B)=B) ) ).
fof(rc10_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_card_1(B)) ) ) ) ).
fof(rc10_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(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_1, axiom,  (? [A] : v1_card_1(A)) ).
fof(rc1_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ).
fof(rc1_funcop_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(rc1_glib_000, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(rc1_glib_002, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v4_glib_000(A) & v3_glib_002(A)) ) ) ) ) ) ) ) ).
fof(rc1_glib_006, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ( ~ (v2_glib_000(A))  &  ( ~ (v3_glib_000(A))  &  ( ~ (v5_glib_000(A))  &  ( ~ (v6_glib_000(A))  &  ( ~ (v7_glib_000(A))  &  ( ~ (v8_glib_000(A))  &  ~ (v2_glib_002(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_relat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_relat_1(A)) ) ).
fof(rc1_relset_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xtuple_0, axiom,  (? [A] : v1_xtuple_0(A)) ).
fof(rc2_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ).
fof(rc2_finset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_finset_1(B)) ) ) ).
fof(rc2_funcop_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ) ).
fof(rc2_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ).
fof(rc2_glib_000, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) ) ) ).
fof(rc2_glib_002, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  & v3_glib_002(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_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_finset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc3_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ).
fof(rc3_glib_000, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v4_glib_000(A) & v7_glib_000(A)) ) ) ) ) ) ) ).
fof(rc3_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v2_glib_000(B) &  (v4_glib_000(B) & v3_glib_002(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_glib_006, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ( ~ (v4_glib_000(A))  &  ( ~ (v1_glib_002(A))  &  ~ (v2_chord(A)) ) ) ) ) ) ) ) ) ).
fof(rc3_glib_008, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glib_008(A)) ) ) ) ) ) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_relat_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc4_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(rc4_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(rc4_glib_000, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  & v7_glib_000(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_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_card_1(A)) ) ) ) ) ) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(rc5_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v4_glib_000(B) & v7_glib_000(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc5_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  & v1_glib_002(A)) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k6_glib_000(A)) &  ~ (v5_glib_002(B, A)) ) ) ) ) ).
fof(rc5_glib_008, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] :  (m1_glib_000(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v4_glib_000(B) & v1_glib_008(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc5_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (? [C] :  (m1_glib_010(C, A, B) &  (v1_xtuple_0(C) &  (v6_glib_010(C, A, B) &  (v9_glib_010(C, A, B) &  (v10_glib_010(C, A, B) &  (v11_glib_010(C, A, B) &  (v12_glib_010(C, A, B) &  (v13_glib_010(C, A, B) & v14_glib_010(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc6_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_finset_1(B)) ) ) ) ) ).
fof(rc6_finset_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ).
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_glib_002, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  & v3_glib_002(A)) ) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k6_glib_000(A)) & v11_glib_000(B, A)) ) ) ) ).
fof(rc6_glib_008, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v4_glib_000(A) & v1_glib_008(A)) ) ) ) ) ) ) ) ).
fof(rc6_glib_010, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) ) )  =>  (? [C] :  (m1_glib_010(C, A, B) &  (v1_xtuple_0(C) &  ( ~ (v6_glib_010(C, A, B))  &  (v9_glib_010(C, A, B) &  (v10_glib_010(C, A, B) &  (v11_glib_010(C, A, B) & v13_glib_010(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc7_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(rc7_finset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ) ) ).
fof(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(A)) ) ).
fof(rc7_glib_002, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v6_glib_002(A) &  (v7_glib_002(A) & v8_glib_002(A)) ) ) ) ) ) ) ).
fof(rc7_glib_008, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  & v1_glib_008(A)) ) ) ) ) ) ) ) ).
fof(rc7_glib_010, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (? [B] :  (m1_glib_010(B, A, A) &  (v1_xtuple_0(B) &  (v15_glib_010(B, A, A) &  (v16_glib_010(B, A, A) &  (v17_glib_010(B, A, A) & v18_glib_010(B, A, A)) ) ) ) ) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_abian, axiom,  (! [A, B] :  ( ~ (v2_setfam_1(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(rc8_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) ) ) ) ).
fof(rc8_finset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_zfmisc_1(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc8_glib_000, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v12_glib_000(A)) ) ) ) ).
fof(rc8_glib_008, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  (v4_glib_000(A) &  ~ (v1_glib_008(A)) ) ) ) ) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v3_card_1(B, 1)) ) ) ) ).
fof(rc9_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(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_glib_008, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v2_glib_000(A) &  ( ~ (v4_glib_000(A))  &  ~ (v1_glib_008(A)) ) ) ) ) ) ) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rd1_glib_010, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  & m1_glib_010(C, A, B)) )  => k4_tarski(k1_xtuple_0(C), k2_xtuple_0(C))=C) ) ).
fof(rd1_xtuple_0, axiom,  (! [A, B] : k1_xtuple_0(k4_tarski(A, B))=A) ).
fof(rd2_xtuple_0, axiom,  (! [A, B] : k2_xtuple_0(k4_tarski(A, B))=B) ).
fof(rd3_xtuple_0, axiom,  (! [A] :  (v1_xtuple_0(A) => k4_tarski(k1_xtuple_0(A), k2_xtuple_0(A))=A) ) ).
fof(rd6_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k6_relat_1(k10_xtuple_0(A), A)=A) ) ).
fof(rd7_relat_1, axiom,  (! [A, B] :  (v1_relat_1(B) => k6_relat_1(A, k6_relat_1(A, B))=k6_relat_1(A, B)) ) ).
fof(rd9_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => k6_relat_1(A, B)=B) ) ).
fof(redefinition_k10_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k10_glib_000(A)=k8_glib_000(A)) ) ).
fof(redefinition_k11_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  => k11_glib_000(A)=k9_glib_000(A)) ) ).
fof(redefinition_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k1_relset_1(A, B)=k9_xtuple_0(B)) ) ).
fof(redefinition_k24_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_glib_000(B, A))  => k24_glib_000(A, B)=k6_glib_000(B)) ) ).
fof(redefinition_k25_glib_000, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  & m1_glib_000(B, A))  => k25_glib_000(A, B)=k7_glib_000(B)) ) ).
fof(redefinition_k2_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => k2_relset_1(A, B)=k10_xtuple_0(B)) ) ).
fof(redefinition_k3_partfun2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => k3_partfun2(A, B, C, D)=k6_relat_1(C, D)) ) ).
fof(redefinition_k5_glib_010, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  & m1_glib_010(C, A, B)) )  => k5_glib_010(A, B, C)=k1_xtuple_0(C)) ) ).
fof(redefinition_k6_glib_010, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_glib_000(B)) ) ) )  & m1_glib_010(C, A, B)) )  => k6_glib_010(A, B, C)=k2_xtuple_0(C)) ) ).
fof(redefinition_k6_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k6_relset_1(A, B, C, D)=k6_relat_1(C, D)) ) ).
fof(redefinition_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(redefinition_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(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(t12_partfun1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v1_funct_1(k6_relset_1(A, B, C, D)) & m1_subset_1(k6_relset_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) ) ) ).
fof(t186_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k9_xtuple_0(k6_relat_1(A, B)), k9_xtuple_0(B))) ) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t28_xboole_1, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => k3_xboole_0(A, B)=A) ) ) ).
fof(t2_boole, axiom,  (! [A] : k3_xboole_0(A, k1_xboole_0)=k1_xboole_0) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t3_xboole_1, axiom,  (! [A] :  (r1_tarski(A, k1_xboole_0) => A=k1_xboole_0) ) ).
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(t53_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (C=k6_relat_1(A, B) <=>  ( (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) <=>  (r2_hidden(D, k9_xtuple_0(B)) & r2_tarski(k1_funct_1(B, D), A)) ) )  &  (! [D] :  (r2_hidden(D, k9_xtuple_0(C)) => k1_funct_1(C, D)=k1_funct_1(B, D)) ) ) ) ) ) ) ) ) ).
fof(t54_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(B, k9_xtuple_0(k6_relat_1(A, C))) <=>  (r2_hidden(B, k9_xtuple_0(C)) & r2_tarski(k1_funct_1(C, B), A)) ) ) ) ) ) ).
fof(t55_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(B, k9_xtuple_0(k6_relat_1(A, C))) => k1_funct_1(k6_relat_1(A, C), B)=k1_funct_1(C, B)) ) ) ) ) ).
fof(t58_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (v2_funct_1(B) => v2_funct_1(k6_relat_1(A, 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(t72_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (! [D] :  (! [E] :  ( (r1_glib_000(B, C, D, E) => r1_glib_000(A, C, D, E))  &  ( (r2_glib_000(B, C, D, E) => r2_glib_000(A, C, D, E))  &  ( (r3_glib_000(B, C, D, E) => r3_glib_000(A, C, D, E))  &  (r4_glib_000(B, C, D, E) => r4_glib_000(A, C, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(t73_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_glib_000(A)) ) ) )  =>  (! [B] :  (m1_glib_000(B, A) =>  (! [C] :  (! [D] :  (! [E] :  (r2_tarski(E, k25_glib_000(A, B)) =>  ( (r1_glib_000(A, C, D, E) => r1_glib_000(B, C, D, E))  &  ( (r2_glib_000(A, C, D, E) => r2_glib_000(B, C, D, E))  &  ( (r3_glib_000(A, C, D, E) => r3_glib_000(B, C, D, E))  &  (r4_glib_000(A, C, D, E) => r4_glib_000(B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t86_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k6_relat_1(A, B), B)) ) ) ).
fof(t88_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k10_xtuple_0(k6_relat_1(A, B))=k3_xboole_0(k10_xtuple_0(B), A)) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
