% Mizar problem: t44_glpacy00,glpacy00,4238,30 
fof(t44_glpacy00, conjecture,  (! [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) &  (v4_glib_013(B, A) & v4_glpacy00(B)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_glib_000(C) &  (v4_glib_013(C, A) & v4_glpacy00(C)) ) ) ) ) )  => v19_glib_010(C, 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(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(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
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(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(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(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(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(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(cc2_abian, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v1_abian(A)) )  =>  ( ~ (v8_ordinal1(A))  & v1_int_1(A)) ) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc5_glpacy00, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v16_glib_000(A) & v2_glib_008(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v2_glpacy00(A)) ) ) ) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc8_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(fc6_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  & v1_int_1(B))  => v1_abian(k3_xcmplx_0(A, B))) ) ).
fof(fc7_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) & v1_abian(A))  & v1_int_1(B))  => v1_abian(k3_xcmplx_0(B, A))) ) ).
fof(fc8_abian, axiom,  (! [A, B] :  ( ( (v1_int_1(A) &  ~ (v1_abian(A)) )  &  (v1_int_1(B) &  ~ (v1_abian(B)) ) )  =>  ~ (v1_abian(k3_xcmplx_0(A, B))) ) ) ).
fof(rc10_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) & v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) & v1_abian(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(rc2_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ~ (v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_abian, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_rat_1(A) & v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_abian, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  (v1_rat_1(A) &  ~ (v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) & v1_abian(A)) ) ) ) ) ).
fof(rc6_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  ~ (v1_abian(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(rc9_abian, axiom,  (? [A] :  (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) &  (v1_int_1(A) &  (v2_int_1(A) &  ~ (v1_abian(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(commutativity_k3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_o_0_0_xboole_0, axiom, v1_xboole_0(o_0_0_xboole_0)).
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_glpacy00, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v3_glpacy00(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v1_glpacy00(B)) ) ) ) ).
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(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_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v8_glib_014(A))  =>  (v1_glib_014(A) & v6_glib_014(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_014, axiom,  (! [A] :  ( (v1_glib_014(A) &  (v8_glib_014(A) & v9_glib_014(A)) )  =>  (v1_glib_014(A) & v10_glib_014(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_glpacy00, 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, 2) & v1_glpacy00(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(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(cc19_glpacy00, 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_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_glpacy00(A)) ) ) ) ) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(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_glpacy00, 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_glpacy00(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) &  (v5_glib_013(A) & v6_glib_013(A)) ) ) ) ) ) ) ) ) ).
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(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_glpacy00, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) &  (v16_glib_000(A) &  (v19_glib_000(A) & v2_glib_012(A)) ) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v5_glpacy00(A)) ) ) ) ) ).
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_glpacy00, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v5_glpacy00(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v6_glib_002(A)) ) ) ) ) ).
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(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_glpacy00, axiom,  (! [A] :  ( (v1_glib_014(A) & v6_glpacy00(A))  =>  (v1_glib_014(A) & v9_glib_014(A)) ) ) ).
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(cc28_glpacy00, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v6_glpacy00(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v4_glpacy00(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_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(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_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_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(cc3_glpacy00, 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_glpacy00(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(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(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(cc59_glib_016, 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_016(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(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(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_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_glpacy00, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v2_glpacy00(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v12_glib_000(A) & v8_glib_002(A)) ) ) ) ) ).
fof(cc7_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc7_glib_014, axiom,  (! [A] :  ( (v1_glib_014(A) & v4_glib_014(A))  =>  (v1_glib_014(A) & v5_glib_014(A)) ) ) ).
fof(cc7_glib_016, 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_016(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(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_glpacy00, axiom,  (! [A] :  ( (v1_glib_014(A) & v3_glpacy00(A))  =>  (v1_glib_014(A) & v10_glib_014(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_016, 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_016(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_glib_008(A)) ) ) ) ) ) ) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(fc1_abian, axiom,  (! [A] :  (v1_int_1(A) => v1_abian(k3_xcmplx_0(2, A))) ) ).
fof(fc23_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc24_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(B, A))) ) ) ).
fof(fc25_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc26_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc2_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
fof(fc6_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k3_xcmplx_0(A, 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_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_014, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v3_glib_014(A) & v14_glib_014(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_014, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) &  (v12_glib_014(A) & v14_glib_014(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_glib_016, 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_glib_008(A))  &  ( ~ (v3_glib_013(A, k5_ordinal1))  & v6_glib_016(A)) ) ) ) ) ) ) ) ) ).
fof(rc13_glpacy00, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v6_glpacy00(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_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_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_016, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(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) &  (v7_glib_000(B) &  (v2_chord(B) &  (v3_glib_013(B, A) &  ~ (v3_glib_013(B, k5_ordinal1)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_glpacy00, 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_glib_012(A) &  ~ (v3_glib_013(A, k5_ordinal1)) ) ) ) ) ) ) ) ) ) ).
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_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_016, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(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) &  (v8_glib_000(B) &  (v3_glib_013(B, A) &  ( ~ (v3_glib_013(B, k5_ordinal1))  & v1_glib_016(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_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_glib_016, 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))  &  ~ (v1_glib_016(A)) ) ) ) ) ) ) ) ).
fof(rc4_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(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_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_glib_016, 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) &  ( ~ (v3_glib_013(A, k5_ordinal1))  & v1_glib_016(A)) ) ) ) ) ) ) ) ).
fof(rc4_glpacy00, 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_013(A, k5_ordinal1))  & v1_glpacy00(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(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_014, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v13_glib_014(A)) ) ) ).
fof(rc6_glpacy00, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v3_glpacy00(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_glib_014, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v2_glib_014(A)) ) ) ).
fof(rc8_glib_014, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_glib_014(A) & v14_glib_014(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(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(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(spc7_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k3_xcmplx_0(B, C))) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_m1_subset_1, axiom, $true).
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_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_int_1(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_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_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc12_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc13_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_glpacy00, 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_002(A) & v3_glib_013(A, 2)) ) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v1_glpacy00(A)) ) ) ) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(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_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_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(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_glpacy00, 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) & v4_glpacy00(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_glib_012(A)) ) ) ) ) ) ) ) ).
fof(cc21_glpacy00, 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))  & v4_glpacy00(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(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_glpacy00, 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) & v5_glpacy00(A)) ) ) ) ) ).
fof(cc25_glpacy00, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_glib_014(A))  =>  (v1_glib_014(A) & v6_glpacy00(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_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_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_glpacy00, 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_glpacy00(A)) ) ) ) ) ) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
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(cc35_glib_016, 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_016(A, k5_numbers)) ) ) ) )  =>  (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(cc38_glib_016, 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_016(A, 1)) ) ) ) ) )  =>  (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) &  (v3_glib_013(A, 2) & v4_glib_013(A, 1)) ) ) ) ) ) ) ) ) ).
fof(cc39_glib_014, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_glib_014(A))  =>  (v1_glib_014(A) & v14_glib_014(A)) ) ) ).
fof(cc39_glib_016, 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_002(A) & v3_glib_013(A, 2)) ) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v2_glib_016(A, 1)) ) ) ) ) ) ) ).
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_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(cc44_glib_016, 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_016(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(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_016, 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) & v5_glib_016(B, A)) ) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v7_glib_013(B) & v8_glib_013(B)) ) ) ) ) ) ) ) ) ) ).
fof(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_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_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_glpacy00, 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_glpacy00(A)) ) ) ) ) ).
fof(cc50_glib_016, 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) & v5_glib_016(B, A)) ) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) &  (v5_glib_013(B) & v2_glib_016(B, k3_xcmplx_0(2, A))) ) ) ) ) ) ) ) ) ) ).
fof(cc51_glib_016, axiom,  (! [A] :  ( ( ~ (v1_finset_1(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) & v5_glib_016(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_016(B, A)) ) ) ) ) ) ) ) ) ).
fof(cc53_glib_016, 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_016(A, k5_numbers)) ) ) ) )  =>  (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(cc54_glib_016, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(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) & v5_glib_016(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_008(B)) ) ) ) ) ) ) ) ) ) ).
fof(cc56_glib_016, 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) &  (v3_glib_013(A, 2) & v4_glib_013(A, 2)) ) ) ) ) ) )  =>  (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) & v5_glib_016(A, 1)) ) ) ) ) ) ) ) ).
fof(cc57_glib_016, 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) & 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_016(A, 1)) ) ) ) ) ) ) ).
fof(cc58_glib_016, 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) & v5_glib_016(B, 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_016(B)) ) ) ) ) ) ) ) ) ).
fof(cc5_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc5_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc5_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_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_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
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(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_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_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_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)) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v19_glib_010(B, 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)) ) ) ) ) ) ) ) ) ).
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(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_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_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_glpacy00, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_glib_014(A))  =>  (v1_glib_014(A) & v3_glpacy00(A)) ) ) ).
fof(cc8_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc8_glib_016, 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_016(A)) ) ) ) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(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(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
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_016, 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) &  ( ~ (v3_glib_013(B, k5_ordinal1))  &  ~ (v5_glib_016(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc10_glpacy00, 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))  &  ( ~ (v3_glib_013(A, k5_ordinal1))  & v4_glpacy00(A)) ) ) ) ) ) ) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_glib_016, 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) &  (v2_glib_000(B) &  (v8_glib_000(B) &  ( ~ (v3_glib_013(B, k5_ordinal1))  & v5_glib_016(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc11_glpacy00, 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) &  ( ~ (v3_glib_013(A, k5_ordinal1))  & v4_glpacy00(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_funcop_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_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_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_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(A)) ) ) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(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_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_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_014, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_zfmisc_1(A) &  (v1_finset_1(A) & v1_glib_014(A)) ) ) ) ).
fof(rc2_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_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_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_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_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_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_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_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_016, 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) &  (v7_glib_000(B) &  ( ~ (v3_glib_013(B, k5_ordinal1))  & v2_glib_016(B, 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_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(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(rc7_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(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_016, 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) &  (v7_glib_000(B) &  (v1_glib_013(B) &  ( ~ (v3_glib_013(B, k5_ordinal1))  & v2_glib_016(B, 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_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_016, 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_008(A))  &  ( ~ (v3_glib_013(A, k5_ordinal1))  & v4_glib_016(A)) ) ) ) ) ) ) ) ) ).
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_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_016, 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) &  (v8_glib_000(B) &  ( ~ (v3_glib_013(B, k5_ordinal1))  & v5_glib_016(B, 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(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(d2_xboole_0, axiom, k1_xboole_0=o_0_0_xboole_0).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(dt_k5_ordinal1, axiom, $true).
fof(cc10_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc11_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_finseq_1(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_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(A)) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc16_glpacy00, 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))  & v2_glib_016(A, 2)) ) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_glib_000(A) & v4_glpacy00(A)) ) ) ) ) ) ) ).
fof(cc19_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(A)) ) ).
fof(cc1_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc1_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_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_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(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(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(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_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_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_msafree5, axiom,  (! [A] :  (v6_membered(A) => v6_ordinal1(A)) ) ).
fof(cc30_glib_016, 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) & v2_glib_016(B, 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_013(B)) ) ) ) ) ) ) ) ) ).
fof(cc33_glib_016, 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) & v2_glib_016(B, A)) ) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_glib_000(B) & v5_glib_013(B)) ) ) ) ) ) ) ) ) ).
fof(cc34_glib_016, 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_016(A, k5_numbers)) ) ) ) ) ) ) ).
fof(cc36_glib_016, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(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) & v2_glib_016(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_008(B)) ) ) ) ) ) ) ) ) ) ).
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_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_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_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_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_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc42_glib_016, 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) & v2_glib_016(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_016(B)) ) ) ) ) ) ) ) ) ).
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_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_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc52_glib_016, 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) & v5_glib_016(A, k5_numbers)) ) ) ) ) ) ) ).
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(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_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(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(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(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_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_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(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_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(A)) ) ) ).
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_msafree5, axiom,  (! [A] :  (v6_membered(A) =>  (v5_finset_1(A) & v1_ordinal6(A)) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(rc17_glpacy00, 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) &  ( ~ (v3_glib_013(B, k5_ordinal1))  &  (v4_glib_013(B, A) & v4_glpacy00(B)) ) ) ) ) ) ) ) ) ) ) ).
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_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc1_relat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_relat_1(A)) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(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_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(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_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(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_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(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_016, 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) &  ( ~ (v3_glib_013(B, k5_ordinal1))  &  ~ (v2_glib_016(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(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(d13_ordinal1, axiom, k5_ordinal1=k1_xboole_0).
fof(spc2_boole, axiom,  ~ (v1_xboole_0(2)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(dt_k4_ordinal1, axiom, $true).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc17_glpacy00, 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_glpacy00(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))  & v2_glib_016(A, 2)) ) ) ) ) ) ) ) ) ).
fof(cc18_glpacy00, 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_glpacy00(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_008(A))  & v6_glib_013(A)) ) ) ) ) ) ) ) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(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_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc30_glpacy00, 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) &  (v3_glib_013(B, A) & v4_glpacy00(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)) ) ) ) ) ) ) ) ) ).
fof(cc31_glpacy00, 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) & v4_glpacy00(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)) ) ) ) ) ) ) ) ) ).
fof(cc37_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) & v19_glib_010(B, A)) ) ) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_glib_000(C) & v19_glib_010(C, B)) ) ) ) )  =>  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_glib_000(C) & v19_glib_010(C, A)) ) ) ) ) ) ) ) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
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(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_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(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_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(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_nat_1, axiom,  (? [A] : v7_ordinal1(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_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc4_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(t43_glpacy00, 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) & v4_glpacy00(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_glpacy00(C)) ) ) ) ) )  => v19_glib_010(C, B)) ) ) ) ) ) ).
