% Mizar problem: t68_glib_015,glib_015,4757,5 
fof(t68_glib_015, conjecture,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v14_glib_014(A) & v1_glib_015(A)) ) )  =>  (! [B] :  (m1_glib_014(B, A) => r1_ordinal1(k1_card_1(A), k4_glib_002(B))) ) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v6_membered(A)) ) ).
fof(cc10_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_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v6_glib_014(A))  =>  (v1_glib_014(A) &  (v3_glib_014(A) & v4_glib_014(A)) ) ) ) ).
fof(cc10_glib_015, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v7_glib_014(A) &  (v14_glib_014(A) & v1_glib_015(A)) ) ) )  =>  (! [B] :  (m1_glib_014(B, A) => v8_glib_000(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_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_finseq_1(A)) ) ).
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_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v7_glib_014(A))  =>  (v1_glib_014(A) &  (v3_glib_014(A) & v5_glib_014(A)) ) ) ) ).
fof(cc11_glib_015, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v8_glib_014(A) &  (v14_glib_014(A) & v1_glib_015(A)) ) ) )  =>  (! [B] :  (m1_glib_014(B, A) => v2_glib_002(B)) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_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_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v8_glib_014(A))  =>  (v1_glib_014(A) & v6_glib_014(A)) ) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_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_014, axiom,  (! [A] :  ( (v1_glib_014(A) &  (v8_glib_014(A) & v9_glib_014(A)) )  =>  (v1_glib_014(A) & v10_glib_014(A)) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_finseq_1(B)) ) ) ) ).
fof(cc14_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_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v10_glib_014(A))  =>  (v1_glib_014(A) &  (v8_glib_014(A) & v9_glib_014(A)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_card_3, axiom,  (! [A] :  ( ~ (v4_card_3(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc15_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_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v2_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_glib_014(B)) ) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc16_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc16_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_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v3_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_glib_014(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_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v4_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_glib_014(B)) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_glib_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v5_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_glib_014(B)) ) ) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_glib_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v6_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_glib_014(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_card_3, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ) ).
fof(cc1_chord, 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) & v2_chord(A)) ) ) ) ) ) ) ).
fof(cc1_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(A)) ) ).
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_glib_012, 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_012(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)) ) ) ) ) ) ) ) ).
fof(cc1_glib_013, 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_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  (v1_glib_013(A) & v2_glib_013(A)) ) ) ) ) ) ) ) ).
fof(cc1_glib_014, axiom,  (! [A] :  (v1_xboole_0(A) => v1_glib_014(A)) ) ).
fof(cc1_glib_015, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_glib_014(A))  =>  (v1_glib_014(A) &  (v1_glib_015(A) & v2_glib_015(A)) ) ) ) ).
fof(cc1_glibpre1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v3_funct_1(A)) ) )  =>  (v1_zfmisc_1(A) &  (v1_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(A)) ) ).
fof(cc1_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc20_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_012, 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) & v2_glib_012(A)) ) ) ) ) ).
fof(cc20_glib_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v7_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v7_glib_014(B)) ) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc21_glib_012, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v2_glib_012(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  ~ (v15_glib_000(A)) ) ) ) ) ) ).
fof(cc21_glib_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v8_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v8_glib_014(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_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v9_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v9_glib_014(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_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v10_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v10_glib_014(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_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v11_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v11_glib_014(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_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v12_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v12_glib_014(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_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v13_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v13_glib_014(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_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v2_glib_014(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v1_glib_009(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_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v3_glib_014(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v3_glib_000(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_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v4_glib_014(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v5_glib_000(B)) ) ) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_chord, 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) & v6_chord(A)) ) ) ) ) ) ) ).
fof(cc2_comput_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_margrel1(A)) ) ) ).
fof(cc2_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(cc2_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_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_funct_7(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) & v1_finseq_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_glib_012, 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_012(A)) ) ) ) ) ) ) ).
fof(cc2_glib_013, 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_013(A) & v2_glib_013(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(cc2_glib_014, axiom,  (! [A] :  (v1_glib_014(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_glib_014(B)) ) ) ) ).
fof(cc2_glib_015, axiom,  (! [A] :  ( (v1_glib_014(A) & v12_glib_014(A))  =>  (v1_glib_014(A) & v2_glib_015(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_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( ~ (v1_subset_1(B, A))  =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc30_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v5_glib_014(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v6_glib_000(B)) ) ) ) ).
fof(cc31_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v6_glib_014(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v7_glib_000(B)) ) ) ) ).
fof(cc32_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v7_glib_014(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v8_glib_000(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_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v8_glib_014(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v2_glib_002(B)) ) ) ) ).
fof(cc34_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v9_glib_014(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v1_glib_002(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_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v10_glib_014(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v3_glib_002(B)) ) ) ) ).
fof(cc36_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v11_glib_014(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v6_chord(B)) ) ) ) ).
fof(cc37_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v12_glib_014(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v1_glib_008(B)) ) ) ) ).
fof(cc38_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v13_glib_014(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v1_glib_012(B)) ) ) ) ).
fof(cc39_glib_014, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_glib_014(A))  =>  (v1_glib_014(A) & v14_glib_014(A)) ) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
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_funct_7, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_funct_7(A)) ) ) ) ) ).
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_013, 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_013(A)) ) ) ) ) ) ) ).
fof(cc3_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc3_glib_015, axiom,  (! [A] :  ( (v1_glib_014(A) & v2_glib_015(A))  =>  (v1_glib_014(A) & v14_glib_014(A)) ) ) ).
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_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_xboole_0(B) => v1_subset_1(B, A)) ) ) ) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc40_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v3_glib_014(A) & v14_glib_014(A)) ) )  =>  (! [B] :  (m1_glib_014(B, A) => v3_glib_000(B)) ) ) ) ).
fof(cc41_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v12_glib_014(A) & v14_glib_014(A)) ) )  =>  (! [B] :  (m1_glib_014(B, A) => v1_glib_008(B)) ) ) ) ).
fof(cc42_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v13_glib_014(A) & v14_glib_014(A)) ) )  =>  (! [B] :  (m1_glib_014(B, A) => v1_glib_012(B)) ) ) ) ).
fof(cc44_glib_013, 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_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) &  ~ (v3_glib_013(A, k5_ordinal1)) ) ) ) ) ) ) ) ).
fof(cc45_glib_013, 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) & v3_glib_013(A, 1)) ) ) ) ) ) ) ).
fof(cc46_glib_013, 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_013(A, 1)) ) ) ) )  =>  (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(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(cc47_glib_013, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v3_glib_013(B, A)) ) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v1_glib_013(B)) ) ) ) ) ) ) ) ) ).
fof(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(A)) ) ).
fof(cc4_card_3, axiom,  (! [A] :  (v5_card_3(A) =>  ( ~ (v1_finset_1(A))  & v4_card_3(A)) ) ) ).
fof(cc4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc4_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_013, 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_013(A)) ) ) ) ) ) ) ).
fof(cc4_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (v4_relat_1(B, k4_ordinal1) & v1_finset_1(B)) ) ) ) ) ).
fof(cc4_glib_015, axiom,  (! [A] :  ( (v1_glib_014(A) &  (v14_glib_014(A) & v1_glib_015(A)) )  =>  (v1_glib_014(A) & v2_glib_015(A)) ) ) ).
fof(cc4_glibpre1, 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, k3_glib_002(A)) =>  ~ (v1_xboole_0(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_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(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_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_subset_1(B, A)) ) ) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc56_glib_013, 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) & v4_glib_013(A, k5_ordinal1)) ) ) ) ) ) ) ).
fof(cc57_glib_013, 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_013(A, k5_ordinal1)) ) ) ) )  =>  (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(cc58_glib_013, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v4_glib_013(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_013(B)) ) ) ) ) ) ) ) ) ).
fof(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(cc5_card_3, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v4_card_3(A))  => v5_card_3(A)) ) ).
fof(cc5_comput_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v3_comput_1(A)) ) ) ).
fof(cc5_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc5_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_013, 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) & v1_glib_013(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_013(A)) ) ) ) ) ) ) ).
fof(cc5_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, A) => v1_glib_000(B)) ) ) ) ).
fof(cc5_glib_015, axiom,  (! [A] :  ( (v1_glib_014(A) & v1_glib_015(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_glib_015(B)) ) ) ) ).
fof(cc5_glibpre0, 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) & v1_glibpre0(A)) ) ) ) ) ).
fof(cc5_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(A)) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc5_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) ) ) ) ).
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(cc5_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
fof(cc62_glib_013, 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_013(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_013(A)) ) ) ) ) ) ) ).
fof(cc63_glib_012, 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_012(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_glib_002(A)) ) ) ) ) ) ) ) ).
fof(cc64_glib_012, 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_012(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_glib_002(A)) ) ) ) ) ) ) ) ).
fof(cc65_glib_012, 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) &  (v5_glib_012(A) & v6_glib_012(A)) ) ) ) ) ) ) ) ).
fof(cc66_glib_012, 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_012(A) & v6_glib_012(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)) ) ) ) ) ) ) ) ).
fof(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(cc6_card_3, axiom,  (! [A] :  (v1_finset_1(A) => v4_card_3(A)) ) ).
fof(cc6_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ).
fof(cc6_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_013, 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_012(A) &  ~ (v1_glib_013(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_013(A)) ) ) ) ) ) ) ) ).
fof(cc6_glib_014, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_glib_014(A))  =>  (v1_glib_014(A) &  (v2_glib_014(A) &  (v3_glib_014(A) &  (v4_glib_014(A) &  (v5_glib_014(A) &  (v6_glib_014(A) &  (v7_glib_014(A) &  (v8_glib_014(A) &  (v9_glib_014(A) &  (v10_glib_014(A) &  (v11_glib_014(A) &  (v12_glib_014(A) & v13_glib_014(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc6_glib_015, axiom,  (! [A] :  ( (v1_glib_014(A) & v2_glib_015(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_glib_015(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(cc73_glib_013, 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_013(A) & v8_glib_013(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_013(A)) ) ) ) ) ) ) ).
fof(cc74_glib_013, 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_013(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_013(A) &  (v7_glib_013(A) & v8_glib_013(A)) ) ) ) ) ) ) ) ) ).
fof(cc75_glib_013, 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_013(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_013(A) &  (v7_glib_013(A) & v8_glib_013(A)) ) ) ) ) ) ) ) ) ).
fof(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_0(A)) ) ).
fof(cc7_card_3, axiom,  (! [A] :  (v4_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_card_3(B)) ) ) ) ).
fof(cc7_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc7_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_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v4_glib_014(A))  =>  (v1_glib_014(A) & v5_glib_014(A)) ) ) ).
fof(cc7_glib_015, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v4_glib_014(A) &  (v14_glib_014(A) & v1_glib_015(A)) ) ) )  =>  (! [B] :  (m1_glib_014(B, A) => v5_glib_000(B)) ) ) ) ).
fof(cc7_glibpre0, 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) & v2_glibpre0(A)) ) ) ) ) ).
fof(cc7_glibpre1, 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_013(A, 1)) ) ) ) )  =>  (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(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_pre_poly(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_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(A)) ) ).
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_014, axiom,  (! [A] :  ( (v1_glib_014(A) &  (v3_glib_014(A) & v4_glib_014(A)) )  =>  (v1_glib_014(A) & v6_glib_014(A)) ) ) ).
fof(cc8_glib_015, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v5_glib_014(A) &  (v14_glib_014(A) & v1_glib_015(A)) ) ) )  =>  (! [B] :  (m1_glib_014(B, A) => v6_glib_000(B)) ) ) ) ).
fof(cc8_glibpre1, axiom,  (! [A] :  ( (v1_glib_014(A) & v14_glib_014(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v14_glib_014(B)) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc94_glib_013, 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_013(B, A) & v11_glib_013(B, A))  => v9_glib_013(B, A)) ) ) ) ) ).
fof(cc96_glib_013, 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) =>  (v9_glib_013(B, A) &  (v10_glib_013(B, A) & v11_glib_013(B, A)) ) ) ) ) ) ) ).
fof(cc98_glib_013, 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_013(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_glib_013(A)) ) ) ) ) ) ) ) ).
fof(cc9_card_1, axiom,  (! [A] :  (v3_card_1(A, 1) =>  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ) ).
fof(cc9_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v1_finset_1(A)) ) ).
fof(cc9_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_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_014, axiom,  (! [A] :  ( (v1_glib_014(A) &  (v3_glib_014(A) & v5_glib_014(A)) )  =>  (v1_glib_014(A) & v7_glib_014(A)) ) ) ).
fof(cc9_glib_015, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v6_glib_014(A) &  (v14_glib_014(A) & v1_glib_015(A)) ) ) )  =>  (! [B] :  (m1_glib_014(B, A) => v7_glib_000(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(commutativity_k2_card_2, axiom,  (! [A, B] :  ( (v1_card_1(A) & v1_card_1(B))  => k2_card_2(A, B)=k2_card_2(B, A)) ) ).
fof(connectedness_r1_ordinal1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  =>  (r1_ordinal1(A, B) | r1_ordinal1(B, A)) ) ) ).
fof(d1_glib_000, axiom, k1_glib_000=1).
fof(d6_glib_000, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k6_glib_000(A)=k1_funct_1(A, k1_glib_000)) ) ).
fof(d9_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)) ) ) )  => k4_glib_002(A)=k1_card_1(k3_glib_002(A))) ) ).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_glib_000, axiom, m1_subset_1(k1_glib_000, k4_ordinal1)).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_card_2, axiom,  (! [A, B] :  ( (v1_card_1(A) & v1_card_1(B))  => v1_card_1(k2_card_2(A, B))) ) ).
fof(dt_k3_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_xboole_0(k3_glib_002(A)))  & m1_subset_1(k3_glib_002(A), k1_zfmisc_1(k1_zfmisc_1(k6_glib_000(A))))) ) ) ).
fof(dt_k3_tarski, axiom, $true).
fof(dt_k4_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_card_1(k4_glib_002(A))) ) ).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k6_glib_000, axiom, $true).
fof(dt_m1_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v14_glib_014(A)) )  =>  (! [B] :  (m1_glib_014(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_subset_1, axiom, $true).
fof(existence_m1_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v14_glib_014(A)) )  =>  (? [B] : m1_glib_014(B, A)) ) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc10_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ( ~ (v1_finset_1(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc10_card_3, axiom, v5_card_3(k4_ordinal1)).
fof(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(A))) ) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc19_abian, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_setfam_1(k1_zfmisc_1(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_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_xboole_0(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
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_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v8_ordinal1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc31_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(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(fc34_finset_1, axiom,  (! [A] :  ( (v1_finset_1(A) & v5_finset_1(A))  => v1_finset_1(k3_tarski(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(fc3_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc3_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_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k3_tarski(A))) ) ).
fof(fc41_glib_008, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v12_glib_000(A)) ) ) )  =>  (v1_relat_1(k1_funct_1(A, 1)) & v1_funct_1(k1_funct_1(A, 1))) ) ) ).
fof(fc43_glib_008, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v12_glib_000(A)) ) ) )  =>  (v4_relat_1(k1_funct_1(A, 1), k4_ordinal1) & v1_finset_1(k1_funct_1(A, 1))) ) ) ).
fof(fc45_glib_008, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v12_glib_000(A)) ) ) )  => v1_glib_000(k1_funct_1(A, 1))) ) ).
fof(fc4_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v8_ordinal1(k1_card_1(A)))  & v1_card_1(k1_card_1(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(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_glibpre1, 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(k3_glib_002(A)))  & v4_taxonom2(k3_glib_002(A))) ) ) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_glib_013, 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_013(A)) ) ) ) )  => v1_finset_1(k6_glib_000(A))) ) ).
fof(fc8_card_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_finset_1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc8_glib_013, 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_013(A)) ) ) ) ) )  =>  ~ (v1_finset_1(k6_glib_000(A))) ) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_pre_poly, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) )  => v1_finseq_1(k1_funct_1(A, B))) ) ).
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_glibpre0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  => v1_card_1(k1_funct_1(A, B))) ) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fraenkel_a_1_0_glib_015, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_glib_014(B) &  (v14_glib_014(B) & v1_glib_015(B)) ) )  =>  (r2_hidden(A, a_1_0_glib_015(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=k3_glib_002(C)) ) ) ) ) ).
fof(fraenkel_a_1_1_glib_015, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_glib_014(B) & v1_glib_015(B)) )  =>  (r2_hidden(A, a_1_1_glib_015(B)) <=>  (? [C] :  (m1_subset_1(C, B) & A=k3_glib_002(C)) ) ) ) ) ).
fof(l87_glib_015, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v1_glib_015(A)) )  => k1_card_1(A)=k1_card_1(a_1_1_glib_015(A))) ) ).
fof(l89_glib_015, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => r1_ordinal1(1, k1_card_1(A))) ) ).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(rc10_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_card_1(B)) ) ) ) ).
fof(rc10_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ).
fof(rc10_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) ) ) ) ).
fof(rc10_glib_008, axiom,  (? [A] :  (v1_xboole_0(A) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) & v12_glib_000(A)) ) ) ) ) ) ) ) ).
fof(rc10_glib_013, 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)) & v9_glib_013(B, A)) ) ) ) ).
fof(rc10_glib_014, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v3_glib_014(A) & v14_glib_014(A)) ) ) ) ).
fof(rc10_glibpre0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v12_glib_000(A) &  (v4_card_3(A) & v2_glibpre0(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc10_pre_poly, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_card_3(A) &  (v4_card_3(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_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_subset_1(B, k1_zfmisc_1(k6_glib_000(A))) &  ( ~ (v1_xboole_0(B))  & v1_subset_1(B, k6_glib_000(A))) ) ) ) ) ).
fof(rc11_glib_008, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) & v12_glib_000(A)) ) ) ) ) ) ) ) ).
fof(rc11_glib_013, 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_013(B, A)) ) ) ) ).
fof(rc11_glib_014, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v12_glib_014(A) & v14_glib_014(A)) ) ) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_glib_008, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v12_glib_000(A) &  (v14_glib_000(A) &  (v15_glib_000(A) &  (v16_glib_000(A) &  (v18_glib_000(A) &  (v19_glib_000(A) &  (v20_glib_000(A) &  (v21_glib_000(A) &  (v6_glib_002(A) &  (v7_glib_002(A) &  (v8_glib_002(A) & v2_glib_008(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc12_glib_013, 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_013(B, A)) ) ) ) ).
fof(rc12_glib_014, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v13_glib_014(A) & v14_glib_014(A)) ) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_glib_008, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v12_glib_000(A) &  (v14_glib_000(A) &  (v15_glib_000(A) &  (v17_glib_000(A) &  (v18_glib_000(A) &  (v19_glib_000(A) &  (v20_glib_000(A) &  (v21_glib_000(A) &  (v6_glib_002(A) &  (v7_glib_002(A) & v8_glib_002(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc14_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc1_card_1, axiom,  (? [A] : v1_card_1(A)) ).
fof(rc1_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ).
fof(rc1_chord, 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) & v2_chord(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_funct_7, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funcop_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_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_glib_009, 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_009(A)) ) ) ) ) ) ).
fof(rc1_glib_012, 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_glib_012(A)) ) ) ) ) ) ) ).
fof(rc1_glib_013, 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_glib_013(A) & v2_glib_013(A)) ) ) ) ) ) ) ) ).
fof(rc1_glib_014, axiom,  (? [A] :  (v1_xboole_0(A) & v1_glib_014(A)) ) ).
fof(rc1_glib_015, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v3_glib_014(A) &  (v4_glib_014(A) &  (v5_glib_014(A) &  (v6_glib_014(A) &  (v7_glib_014(A) &  (v8_glib_014(A) &  (v14_glib_014(A) &  (v1_glib_015(A) & v2_glib_015(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_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ).
fof(rc2_chord, 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) & v2_chord(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_funct_7, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) & v1_funct_7(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_glib_012, 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_012(A)) ) ) ) ) ) ) ).
fof(rc2_glib_013, 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_013(A) &  ~ (v2_glib_013(A)) ) ) ) ) ) ) ) ).
fof(rc2_glib_014, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_zfmisc_1(A) &  (v1_finset_1(A) & v1_glib_014(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_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_chord, 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) & v6_chord(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_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_glib_013, 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_013(A))  & v2_glib_013(A)) ) ) ) ) ) ) ).
fof(rc3_glib_014, axiom,  (? [A] :  (v1_xboole_0(A) &  (v1_glib_014(A) &  (v2_glib_014(A) &  (v3_glib_014(A) &  (v4_glib_014(A) &  (v5_glib_014(A) &  (v6_glib_014(A) &  (v7_glib_014(A) &  (v8_glib_014(A) &  (v9_glib_014(A) &  (v10_glib_014(A) &  (v11_glib_014(A) &  (v12_glib_014(A) & v13_glib_014(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_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, A)) ) ) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc4_chord, 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) & v6_chord(A)) ) ) ) ) ) ) ) ) ).
fof(rc4_comput_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_margrel1(A)) ) ) ) ).
fof(rc4_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(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_glib_012, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v12_glib_000(A) & v2_glib_012(A)) ) ) ) ) ) ) ) ) ).
fof(rc4_glib_013, 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_013(A))  &  ~ (v2_glib_013(A)) ) ) ) ) ) ) ) ).
fof(rc4_glib_014, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v3_glib_014(A) &  (v4_glib_014(A) &  (v5_glib_014(A) &  (v6_glib_014(A) &  (v7_glib_014(A) &  (v8_glib_014(A) &  (v9_glib_014(A) & v10_glib_014(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc4_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_subset_1(B, A)) ) ) ) ).
fof(rc4_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(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_card_3, axiom,  (? [A] : v5_card_3(A)) ).
fof(rc5_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_finseq_1(A)) ) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(rc5_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_013, 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_013(A))  & v2_glib_013(A)) ) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k6_glib_000(A)) & v10_glib_000(B, A)) ) ) ) ).
fof(rc5_glib_014, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v11_glib_014(A) & v12_glib_014(A)) ) ) ) ).
fof(rc5_glibpre1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  ( ~ (v18_glib_000(A))  &  ~ (v19_glib_000(A)) ) ) ) ) ) ) ).
fof(rc5_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc6_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_finset_1(B)) ) ) ) ) ).
fof(rc6_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_finset_1(A)) ) ) ) ).
fof(rc6_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc6_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_013, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_card_1(A))  & v1_card_1(B))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_glib_000(C) &  (v3_glib_013(C, A) & v4_glib_013(C, B)) ) ) ) ) ) ) ) ) ).
fof(rc6_glib_014, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v13_glib_014(A)) ) ) ).
fof(rc6_glibpre0, 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))  &  (v6_glib_000(A) & v4_card_3(A)) ) ) ) ) ) ) ) ).
fof(rc6_glibpre1, 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)) ) ) ) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc6_subset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc7_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(rc7_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(A)) ) ).
fof(rc7_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_013, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (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) & v4_glib_013(B, A)) ) ) ) ) ) ) ) ) ).
fof(rc7_glib_014, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v2_glib_014(A)) ) ) ).
fof(rc7_glibpre1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  ~ (v2_glib_008(A)) ) ) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc7_pre_poly, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) ) ) ).
fof(rc8_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) ) ) ) ).
fof(rc8_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_glib_013, 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_013(A, k5_ordinal1))  & v5_glib_013(A)) ) ) ) ) ) ) ).
fof(rc8_glib_014, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v14_glib_014(A)) ) ) ).
fof(rc8_glibpre0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v12_glib_000(A) &  (v4_card_3(A) & v1_glibpre0(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc8_glibpre1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  ~ (v2_glib_012(A)) ) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc8_pre_poly, axiom,  (? [A] :  (v4_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finset_1(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_glib_012, 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_012(A) & v6_glib_012(A)) ) ) ) ) ) ) ).
fof(rc9_glib_013, 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_013(A, k5_ordinal1))  &  ~ (v5_glib_013(A)) ) ) ) ) ) ) ) ).
fof(rc9_glib_014, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v14_glib_014(A)) )  =>  (? [B] :  (m1_glib_014(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v1_glib_009(B)) ) ) ) ) ) ) ) ) ).
fof(rc9_glibpre1, 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) &  ( ~ (v1_glib_008(A))  &  (v4_card_3(A) &  ~ (v3_glib_013(A, k5_ordinal1)) ) ) ) ) ) ) ) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rd1_card_1, axiom,  (! [A] :  (v1_card_1(A) => k1_card_1(A)=A) ) ).
fof(redefinition_r1_ordinal1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  =>  (r1_ordinal1(A, B) <=> r1_tarski(A, B)) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_ordinal1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => r1_ordinal1(A, A)) ) ).
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(t15_glibpre1, axiom,  (! [A] :  (! [B] :  (v1_card_1(B) =>  (! [C] :  (v1_card_1(C) =>  ( (v4_taxonom2(A) &  (r1_ordinal1(B, k1_card_1(A)) &  (! [D] :  (r2_tarski(D, A) => r1_ordinal1(C, k1_card_1(D))) ) ) )  => r1_ordinal1(k2_card_2(B, C), k1_card_1(k3_tarski(A)))) ) ) ) ) ) ).
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(t21_card_2, axiom,  (! [A] :  (v1_card_1(A) => k2_card_2(A, 1)=A) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t65_glib_015, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v14_glib_014(A) & v1_glib_015(A)) ) )  =>  (! [B] :  (m1_glib_014(B, A) => k3_glib_002(B)=k3_tarski(a_1_0_glib_015(A))) ) ) ) ).
fof(t66_glib_015, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v1_glib_015(A)) )  => v4_taxonom2(a_1_1_glib_015(A))) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
