% Mizar problem: t147_msafree5,msafree5,7690,7 
fof(t147_msafree5, conjecture,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v6_msafree5(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  (m1_msualg_6(D, A, k1_msafree3(A, B)) =>  (! [E] :  (m2_msafree5(E, A, B, C) =>  ~ ( ( ~ (E=k1_xboole_0)  &  (! [F] :  ( ( ~ (v1_xboole_0(F))  & m2_finseq_1(F, u1_struct_0(A)))  =>  (! [G] :  ( (v17_msafree5(G, A, B, F) & m2_finseq_1(G, k3_card_3(B)))  =>  ~ ( (k4_finseq_1(F)=k4_finseq_1(E) &  (F=k12_mcart_1(E) &  (G=k11_mcart_1(E) &  (? [H] :  ( (v18_msafree5(H, A, B, F) & m2_finseq_1(H, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  &  (? [I] :  ( (v17_msafree5(I, A, B, F) &  (v20_msafree5(I, A, B, F, G) &  (v22_msafree5(I, A, B, F, H) & m2_finseq_1(I, k3_card_3(B))) ) )  &  ( (! [J] :  (m2_subset_1(J, k4_ordinal1, k4_finseq_1(F)) => k27_msafree5(A, B, F, H, J)=k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), D, k6_msafree5(A, B, k25_msafree5(A, F, J), k26_msafree5(A, B, F, G, J)))) )  &  (? [J] :  ( (v19_msafree5(J, A, B, F, I) & m2_finseq_1(J, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  &  (v21_msafree5(J, A, B, F, G, I, H) &  (k18_msafree5(A, B, k25_msafree5(A, F, k10_subset_1(1, k4_finseq_1(F))), k26_msafree5(A, B, F, I, k10_subset_1(1, k4_finseq_1(F))), k28_msafree5(A, B, F, I, J, k10_subset_1(1, k4_finseq_1(F))), k6_msafree5(A, B, k25_msafree5(A, F, k10_subset_1(1, k4_finseq_1(F))), k26_msafree5(A, B, F, G, k10_subset_1(1, k4_finseq_1(F)))))=C & k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), D, C)=k18_msafree5(A, B, k25_msafree5(A, F, k10_subset_1(k3_finseq_1(F), k4_finseq_1(F))), k26_msafree5(A, B, F, I, k10_subset_1(k3_finseq_1(F), k4_finseq_1(F))), k28_msafree5(A, B, F, I, J, k10_subset_1(k3_finseq_1(F), k4_finseq_1(F))), k27_msafree5(A, B, F, H, k10_subset_1(k3_finseq_1(F), k4_finseq_1(F))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v3_msualg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  & l3_msualg_1(B, A))  =>  (v3_msualg_1(B, A) => B=g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B))) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(asymmetry_r2_xboole_0, axiom,  (! [A, B] :  (r2_xboole_0(A, B) =>  ~ (r2_xboole_0(B, A)) ) ) ).
fof(cc10_abcmiz_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v13_abcmiz_1(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_fomodel0, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k2_xcmplx_0(A, k5_numbers)) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) ) ) ) ) ).
fof(cc10_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_int_1(B)) ) ) ) ).
fof(cc10_msafree4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l3_msualg_1(C, A)) )  & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), D)) => v3_trees_2(E)) ) ) ) ).
fof(cc10_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C))) ) )  =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v8_msafree5(E, A, B, k1_msafree3(A, B), C, D) => v10_msafree5(E, A, B, C)) ) ) ) ) ).
fof(cc10_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_rewrite1(A))  =>  (v1_relat_1(A) & v4_rewrite1(A)) ) ) ).
fof(cc10_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  => v13_struct_0(A, 1)) ) ) ).
fof(cc10_trees_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_trees_3(B, A) => v3_trees_3(B)) ) ) ) ).
fof(cc10_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_valued_0(B)) ) ) ) ).
fof(cc10_xxreal_2, axiom,  (! [A] :  ( (v3_membered(A) & v1_xxreal_2(A))  =>  (v3_membered(A) & v3_xxreal_2(A)) ) ) ).
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_fomodel0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finseq_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_pre_poly(B)) ) ) ) ) ) ).
fof(cc11_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc11_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  (v5_msafree4(C, A, B) => v1_msafree1(C, A)) ) ) ) ) ).
fof(cc11_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C))) ) )  =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v9_msafree5(E, A, B, k1_msafree3(A, B), C, D) =>  ~ (v8_msafree5(E, A, B, k1_msafree3(A, B), C, D)) ) ) ) ) ) ).
fof(cc11_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_rewrite1(A) & v4_rewrite1(A)) )  =>  (v1_relat_1(A) & v8_rewrite1(A)) ) ) ).
fof(cc11_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, 1) =>  ( ~ (v2_struct_0(A))  & v7_struct_0(A)) ) ) ) ).
fof(cc11_trees_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_trees_3(B, A)) )  =>  (! [C] :  (m1_subset_1(C, B) => v5_relat_1(C, A)) ) ) ) ).
fof(cc11_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_valued_0(B)) ) ) ) ).
fof(cc11_xxreal_2, axiom,  (! [A] :  ( (v3_membered(A) & v2_xxreal_2(A))  =>  (v3_membered(A) & v4_xxreal_2(A)) ) ) ).
fof(cc12_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(A)) ) ).
fof(cc12_rewrite1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v6_rewrite1(A)) ) ) ).
fof(cc12_struct_0, axiom,  (! [A] :  (l5_struct_0(A) =>  ( ~ (v2_struct_0(A))  => v14_struct_0(A)) ) ) ).
fof(cc12_trees_3, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & v3_trees_2(C)) ) ) ) ) ) ) ).
fof(cc12_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_valued_0(B)) ) ) ) ).
fof(cc12_xxreal_2, axiom,  (! [A] :  ( (v5_membered(A) & v5_xxreal_2(A))  =>  (v5_membered(A) & v1_finset_1(A)) ) ) ).
fof(cc13_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_fomodel0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k2_xcmplx_0(A, 1)) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) ) ) ) ) ).
fof(cc13_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_membered(B)) ) ) ) ).
fof(cc13_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A))) ) )  =>  (! [D] :  (m1_finseq_1(D, k3_card_3(B)) =>  (v17_msafree5(D, A, B, C) =>  ~ (v1_xboole_0(D)) ) ) ) ) ) ).
fof(cc13_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v3_rewrite1(A) & v9_rewrite1(A)) )  =>  (v1_relat_1(A) & v7_rewrite1(A)) ) ) ).
fof(cc13_struct_0, axiom,  (! [A] :  (l5_struct_0(A) =>  (v11_struct_0(A) => v14_struct_0(A)) ) ) ).
fof(cc13_trees_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v4_trees_3(A) &  (v5_trees_3(A) & v6_trees_3(A)) ) ) ) ) ) ).
fof(cc13_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_valued_0(B)) ) ) ) ).
fof(cc13_xxreal_2, axiom,  (! [A] :  ( (v6_membered(A) & v4_xxreal_2(A))  =>  (v6_membered(A) &  (v1_finset_1(A) & v4_xxreal_2(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_fomodel0, axiom,  (! [A] :  (v4_finseq_1(A) => v5_finset_1(A)) ) ).
fof(cc14_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_membered(B)) ) ) ) ).
fof(cc14_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A))) ) )  =>  (! [D] :  (m1_finseq_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v18_msafree5(D, A, B, C) =>  ~ (v1_xboole_0(D)) ) ) ) ) ) ).
fof(cc14_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v10_rewrite1(A))  =>  (v1_relat_1(A) &  (v3_rewrite1(A) & v7_rewrite1(A)) ) ) ) ).
fof(cc14_struct_0, axiom,  (! [A] :  (l5_struct_0(A) =>  ( (v2_struct_0(A) & v14_struct_0(A))  => v11_struct_0(A)) ) ) ).
fof(cc14_trees_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_trees_3(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v4_trees_3(A)) ) ) ) ).
fof(cc14_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_valued_0(B)) ) ) ) ).
fof(cc14_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v5_xxreal_2(A))  =>  (v2_membered(A) & v3_membered(A)) ) ) ).
fof(cc15_card_3, axiom,  (! [A] :  ( ~ (v4_card_3(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc15_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v3_valued_0(A) & v7_valued_0(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v3_valued_0(A)) ) ) ) ) ).
fof(cc15_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_membered(B)) ) ) ) ).
fof(cc15_msafree4, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_xboole_0(A) &  (v3_rewrite1(A) & v4_rewrite1(A)) ) ) ) ).
fof(cc15_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  (v17_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(B))) ) ) )  =>  (! [E] :  (m1_finseq_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v19_msafree5(E, A, B, C, D) =>  ~ (v1_xboole_0(E)) ) ) ) ) ) ).
fof(cc15_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v3_rewrite1(A) & v7_rewrite1(A)) )  =>  (v1_relat_1(A) & v10_rewrite1(A)) ) ) ).
fof(cc15_struct_0, axiom,  (! [A] :  (l5_struct_0(A) =>  ( ( ~ (v11_struct_0(A))  & v14_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc15_trees_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_3(A))  =>  (! [B] :  (m1_finseq_1(B, A) => v4_trees_3(B)) ) ) ) ).
fof(cc15_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_valued_0(B)) ) ) ) ).
fof(cc15_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v1_xboole_0(A))  =>  (v2_membered(A) & v6_xxreal_2(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_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k3_finseq_2(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc16_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_membered(B)) ) ) ) ).
fof(cc16_struct_0, axiom,  (! [A] :  (l5_struct_0(A) =>  (v11_struct_0(A) => v15_struct_0(A)) ) ) ).
fof(cc16_trees_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v2_trees_3(A))  =>  (! [B] :  (m1_finseq_1(B, A) => v5_trees_3(B)) ) ) ) ).
fof(cc16_valued_0, axiom,  (! [A, B] :  (v1_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_valued_0(C)) ) ) ) ).
fof(cc16_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v1_xxreal_2(A))  =>  (v2_membered(A) &  ~ (v1_xboole_0(A)) ) ) ) ).
fof(cc17_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => v6_valued_0(A)) ) ).
fof(cc17_fomodel0, axiom,  (! [A] :  (v1_setfam_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  ~ (v1_xboole_0(B)) ) )  =>  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(cc17_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_membered(B)) ) ) ) ).
fof(cc17_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc17_trees_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_trees_3(A))  =>  (! [B] :  (m1_finseq_1(B, A) => v6_trees_3(B)) ) ) ) ).
fof(cc17_valued_0, axiom,  (! [A, B] :  (v2_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v2_valued_0(C)) ) ) ) ).
fof(cc17_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v2_xxreal_2(A))  =>  (v2_membered(A) &  ~ (v1_xboole_0(A)) ) ) ) ).
fof(cc18_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_numbers) => v5_valued_0(A)) ) ).
fof(cc18_fomodel0, axiom,  (! [A] :  (v1_setfam_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_setfam_1(B)) ) ) ) ).
fof(cc18_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_membered(B)) ) ) ) ).
fof(cc18_trees_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_trees_3(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc18_valued_0, axiom,  (! [A, B] :  (v3_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v3_valued_0(C)) ) ) ) ).
fof(cc19_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k3_numbers) => v4_valued_0(A)) ) ).
fof(cc19_fomodel0, axiom,  (! [A] :  ( (v1_int_1(A) & v2_xxreal_0(A))  =>  (v7_ordinal1(A) & v1_int_1(A)) ) ) ).
fof(cc19_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(cc19_valued_0, axiom,  (! [A, B] :  (v4_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v4_valued_0(C)) ) ) ) ).
fof(cc1_abcmiz_1, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  ~ (v1_xtuple_0(C)) ) ) ) ) ).
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_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) =>  (v4_msualg_1(B, A) =>  ~ (v1_catalg_1(B, 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_finseq_6, axiom,  (! [A, B] :  (m1_finseq_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v2_finseq_1(C)) ) ) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(A)) ) ).
fof(cc1_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v2_setfam_1(A)) ) ).
fof(cc1_funcop_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) ) ) ) ) ) ).
fof(cc1_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_funct_1(A)) ) ).
fof(cc1_funct_7, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc1_int_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) => v1_int_1(A)) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc1_msafree1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v3_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) ) ) ) ).
fof(cc1_msafree3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v1_relat_1(C) & v1_funct_1(C)) ) ) ) ) ).
fof(cc1_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) => v1_finset_1(D)) ) ) ) ).
fof(cc1_msualg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k10_xtuple_0(u3_msualg_1(A, B))) =>  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_ordinal6, axiom,  (! [A] :  (v3_ordinal1(A) => v1_ordinal6(A)) ) ).
fof(cc1_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ).
fof(cc1_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(A)) ) ).
fof(cc1_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc1_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v7_struct_0(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(cc1_trees_3, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_trees_3(A) &  (v2_trees_3(A) & v3_trees_3(A)) ) ) ) ).
fof(cc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc1_xcmplx_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xcmplx_0(A)) ) ).
fof(cc1_xxreal_0, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => v1_xxreal_0(A)) ) ).
fof(cc1_zfmisc_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_zfmisc_1(A)) ) ).
fof(cc20_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k1_numbers) => v3_valued_0(A)) ) ).
fof(cc20_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_relat_2(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_partit_2(A)) ) ) ) ).
fof(cc20_valued_0, axiom,  (! [A, B] :  (v5_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v5_valued_0(C)) ) ) ) ).
fof(cc21_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k2_numbers) => v1_valued_0(A)) ) ).
fof(cc21_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v1_xtuple_0(B)) ) ) ) ).
fof(cc21_valued_0, axiom,  (! [A, B] :  (v6_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v6_valued_0(C)) ) ) ) ).
fof(cc22_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k6_numbers) => v2_valued_0(A)) ) ).
fof(cc22_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v4_fomodel0(A)) ) ) ) ).
fof(cc22_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_zfmisc_1(A) & v2_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) &  (v7_valued_0(A) & v8_valued_0(A)) ) ) ) ) ) ).
fof(cc23_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_fomodel0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(cc23_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) ) ) ) ).
fof(cc24_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_fomodel0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_fomodel0(B)) ) ) ) ).
fof(cc24_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) ) ) ) ).
fof(cc25_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v2_abian(A)) ) ) ) ) ).
fof(cc26_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v5_fomodel0(A)) ) ).
fof(cc27_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v5_fomodel0(A)) ) ) ) ).
fof(cc28_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_fomodel0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc28_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k2_numbers))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc29_fomodel0, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc29_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
fof(cc2_abcmiz_1, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m1_finseq_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) => v6_trees_3(C)) ) ) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_card_3, axiom,  (! [A, B] :  (v1_setfam_1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v2_relat_1(C) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(cc2_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_finseq_2, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) => v4_funct_1(B)) ) ) ).
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_fomodel0, axiom,  (! [A] :  (v2_setfam_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_setfam_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_instalg1, axiom,  (! [A] :  (l1_msualg_1(A) =>  ( ~ (v2_struct_0(A))  => v1_instalg1(A)) ) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc2_msafree3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v1_finset_1(C) & v3_trees_2(C)) ) ) ) ) ).
fof(cc2_msafree5, axiom,  (! [A] :  (v6_membered(A) => v6_ordinal1(A)) ) ).
fof(cc2_msualg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  (m1_subset_1(C, k10_xtuple_0(k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B)))) =>  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal6, axiom,  (! [A] :  (v1_ordinal6(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc2_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v3_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(B) &  ( ~ (v2_relat_1(B))  &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ).
fof(cc2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_relat_1(B)) ) ) ) ).
fof(cc2_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(cc2_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_rewrite1(A))  =>  (v1_relat_1(A) &  (v2_relat_2(A) & v1_rewrite1(A)) ) ) ) ).
fof(cc2_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
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_trees_3, axiom,  (! [A] :  (v2_trees_3(A) => v1_trees_3(A)) ) ).
fof(cc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc2_xcmplx_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xcmplx_0(A)) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(A)) ) ).
fof(cc2_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) &  (v1_finset_1(A) &  ~ (v1_xboole_0(A)) ) )  =>  (v2_membered(A) &  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_2(A) & v2_xxreal_2(A)) ) ) ) ) ).
fof(cc2_zfmisc_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc30_fomodel0, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v3_funct_1(B)) ) ) ) ) ) ).
fof(cc30_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k6_numbers))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc31_fomodel0, axiom,  (! [A] :  (v5_fomodel0(A) => v1_funct_1(A)) ) ).
fof(cc31_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k6_numbers)) ) ) ).
fof(cc32_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_numbers))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc33_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc34_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc35_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc36_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc37_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) ) ) ).
fof(cc38_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc39_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1)) ) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) => v5_relat_1(B, A)) ) ) ).
fof(cc3_finseq_2, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) => v4_finseq_1(B)) ) ) ).
fof(cc3_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(cc3_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc3_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_funct_1(B)) ) ) ) ).
fof(cc3_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_instalg1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v11_struct_0(A) => v1_instalg1(A)) ) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(cc3_msafree3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) => v3_trees_9(C)) ) ) ) ).
fof(cc3_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_msafree5(A))  =>  (v1_relat_1(A) & v2_relat_1(A)) ) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) => v1_funcop_1(D)) ) ) ) ).
fof(cc3_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
fof(cc3_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_xboole_0(C)) ) ) ) ).
fof(cc3_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_2(A) & v1_rewrite1(A)) )  =>  (v1_relat_1(A) & v3_rewrite1(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_trees_3, axiom,  (! [A] :  (v1_trees_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_trees_3(B)) ) ) ) ).
fof(cc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc3_xcmplx_0, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) => v1_xcmplx_0(A)) ) ).
fof(cc3_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v2_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc3_xxreal_2, axiom,  (! [A] :  ( (v6_membered(A) &  ~ (v1_xboole_0(A)) )  =>  (v6_membered(A) &  ( ~ (v1_xboole_0(A))  & v1_xxreal_2(A)) ) ) ) ).
fof(cc40_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k2_numbers)) ) ) ) ) ).
fof(cc41_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_valued_0(B)) ) ) ) ) ).
fof(cc42_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k6_numbers)) ) ) ) ) ).
fof(cc43_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v2_valued_0(B)) ) ) ) ) ).
fof(cc44_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k1_numbers)) ) ) ) ) ).
fof(cc45_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v3_valued_0(B)) ) ) ) ) ).
fof(cc46_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k3_numbers)) ) ) ) ) ).
fof(cc47_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v4_valued_0(B)) ) ) ) ) ).
fof(cc48_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_numbers)) ) ) ) ) ).
fof(cc49_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_valued_0(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_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( (v1_relat_1(C) & v5_relat_1(C, B))  =>  (v1_relat_1(C) & v5_relat_1(C, 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_instalg1, axiom,  (! [A] :  (l1_msualg_1(A) =>  ( (v2_struct_0(A) & v1_instalg1(A))  => v11_struct_0(A)) ) ) ).
fof(cc4_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_1(A)) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc4_msafree3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) ) ) ) ) ).
fof(cc4_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_msafree5(A))  =>  (v1_relat_1(A) & v5_msafree5(A)) ) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ).
fof(cc4_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_relat_1(A)) ) ) ).
fof(cc4_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) => v1_xboole_0(C)) ) ) ) ).
fof(cc4_rewrite1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) &  (v2_rewrite1(A) & v3_rewrite1(A)) ) ) ) ).
fof(cc4_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) =>  (v2_struct_0(A) & v8_struct_0(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_trees_3, axiom,  (! [A] :  (v2_trees_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_trees_3(B)) ) ) ) ).
fof(cc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc4_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc4_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v5_xxreal_2(A))  =>  (v2_membered(A) &  (v3_xxreal_2(A) & v4_xxreal_2(A)) ) ) ) ).
fof(cc50_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_ordinal1)) ) ) ) ) ).
fof(cc51_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v6_valued_0(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_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_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, 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_instalg1, axiom,  (! [A] :  (l1_msualg_1(A) =>  ( ( ~ (v11_struct_0(A))  & v1_instalg1(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc5_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(A)) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc5_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (! [C] :  (l3_msualg_1(C, A) =>  ( (v5_msafree4(C, A, B) & v6_msafree4(C, A, B))  =>  (v4_msualg_1(C, A) & v5_msafree4(C, A, B)) ) ) ) ) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, 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_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_rewrite1(A))  =>  (v1_relat_1(A) & v2_rewrite1(A)) ) ) ).
fof(cc5_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ( ~ (v2_struct_0(A))  &  ~ (v8_struct_0(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(cc5_trees_3, axiom,  (! [A] :  (v3_trees_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_trees_3(B)) ) ) ) ).
fof(cc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc5_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v3_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) ) ) ) ).
fof(cc5_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) &  (v3_xxreal_2(A) & v4_xxreal_2(A)) )  =>  (v2_membered(A) & v5_xxreal_2(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_fomodel0, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_finseq_2(A)) => v5_relat_1(B, 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_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc6_msafree5, axiom,  (! [A] :  (v1_trees_1(A) => v4_finseq_1(A)) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v5_relat_1(C, A)) ) ) ) ).
fof(cc6_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v8_rewrite1(A))  =>  (v1_relat_1(A) & v7_rewrite1(A)) ) ) ).
fof(cc6_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v7_struct_0(A) => v8_struct_0(A)) ) ) ).
fof(cc6_trees_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_3(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  ( ~ (v1_xboole_0(B))  & v1_trees_1(B)) ) ) ) ) ).
fof(cc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc6_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ) ).
fof(cc6_xxreal_2, axiom,  (! [A] :  ( (v3_membered(A) & v1_finset_1(A))  =>  (v3_membered(A) & v5_xxreal_2(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_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_tarski(k1_xboole_0)))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
fof(cc7_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc7_msafree4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) =>  (v1_relat_1(D) & v1_funct_1(D)) ) ) ) ) ).
fof(cc7_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v4_msualg_1(C, A) & l3_msualg_1(C, A)) ) )  =>  (! [D] :  (m1_subset_1(D, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, C), B)) => v7_msafree5(D, A, B, C)) ) ) ) ).
fof(cc7_ordinal6, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  (v5_ordinal1(C) &  (v1_funct_2(C, A, B) & v1_ordinal2(C)) ) ) ) ) ) ) ) ).
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(cc7_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v7_rewrite1(A))  =>  (v1_relat_1(A) &  (v8_rewrite1(A) & v9_rewrite1(A)) ) ) ) ).
fof(cc7_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ~ (v7_struct_0(A)) ) ) ) ).
fof(cc7_trees_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v2_trees_3(A))  =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(cc7_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc7_xxreal_0, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc7_xxreal_2, axiom,  (! [A] :  ( (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v4_xxreal_2(A)) )  =>  (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v2_xxreal_2(A)) ) ) ) ).
fof(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(cc8_card_3, axiom,  (! [A] :  (v2_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_card_3(B)) ) ) ) ).
fof(cc8_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_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_relat_1(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_tarski(k1_xboole_0))) ) ) ).
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_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc8_msafree4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l3_msualg_1(C, A)) )  & m1_subset_1(D, u1_struct_0(A))) ) )  =>  (! [E] :  (m1_subset_1(E, k1_funct_1(u3_msualg_1(A, C), D)) =>  (v1_relat_1(E) & v1_funct_1(E)) ) ) ) ) ).
fof(cc8_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(cc8_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_rewrite1(A))  =>  (v1_relat_1(A) & v7_rewrite1(A)) ) ) ).
fof(cc8_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v13_struct_0(A, k5_ordinal1)) ) ) ).
fof(cc8_trees_3, axiom,  (! [A] :  (v3_trees_3(A) => v4_funct_1(A)) ) ).
fof(cc8_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc8_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ) ).
fof(cc8_xxreal_2, axiom,  (! [A] :  ( (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v3_xxreal_2(A)) )  =>  (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v1_xxreal_2(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_fomodel0, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v3_xxreal_0(A)) )  =>  (v7_ordinal1(A) & v1_int_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_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(cc9_msafree4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (v4_msualg_1(C, A) &  (v5_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) => v3_trees_2(D)) ) ) ) ).
fof(cc9_msafree5, axiom,  (! [A] :  (v6_membered(A) =>  (v5_finset_1(A) & v1_ordinal6(A)) ) ) ).
fof(cc9_rewrite1, axiom,  (! [A] :  ( (v1_relat_1(A) & v8_rewrite1(A))  =>  (v1_relat_1(A) & v5_rewrite1(A)) ) ) ).
fof(cc9_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, k5_ordinal1) => v2_struct_0(A)) ) ) ).
fof(cc9_trees_3, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v3_trees_3(A))  =>  (! [B] :  (m1_subset_1(B, A) => v3_trees_2(B)) ) ) ) ).
fof(cc9_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc9_xxreal_2, axiom,  (! [A] :  (v6_membered(A) =>  (v6_membered(A) & v3_xxreal_2(A)) ) ) ).
fof(commutativity_k12_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, B)=k12_fomodel0(B, A)) ).
fof(commutativity_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k1_nat_1(B, A)) ) ).
fof(commutativity_k2_tarski, axiom,  (! [A, B] : k2_tarski(A, B)=k2_tarski(B, A)) ).
fof(commutativity_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, B)=k2_xboole_0(B, A)) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ) ).
fof(commutativity_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k3_xboole_0(B, A)) ).
fof(commutativity_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k9_subset_1(A, C, B)) ) ).
fof(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(d11_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (A=B <=>  (k9_xtuple_0(A)=k9_xtuple_0(B) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) ) ) ) ) ) ).
fof(d11_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( ( ~ (v1_catalg_1(B, A))  & l3_msualg_1(B, A))  =>  (v1_msafree1(B, A) =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (D=k3_msafree5(A, B, C) <=> r2_tarski(C, k1_msafree4(u1_struct_0(A), u3_msualg_1(A, B), D))) ) ) ) ) ) ) ) ) ) ).
fof(d11_trees_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v3_trees_2(C)) )  =>  (r2_tarski(B, k9_xtuple_0(A)) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v3_trees_2(D)) )  =>  (D=k7_trees_2(A, B, C) <=>  (k9_xtuple_0(D)=k5_trees_1(k9_xtuple_0(A), B, k9_xtuple_0(C)) &  (! [E] :  (m2_finseq_1(E, k4_ordinal1) =>  ~ ( (r2_tarski(E, k5_trees_1(k9_xtuple_0(A), B, k9_xtuple_0(C))) &  ( ~ ( ( ~ (r1_tarski(B, E))  & k1_funct_1(D, E)=k1_funct_1(A, E)) )  &  (! [F] :  (m2_finseq_1(F, k4_ordinal1) =>  ~ ( (r2_tarski(F, k9_xtuple_0(C)) &  (r2_relset_1(k4_ordinal1, k4_ordinal1, E, k8_finseq_1(k4_ordinal1, B, F)) & k1_funct_1(D, E)=k1_funct_1(C, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d12_mcart_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k11_mcart_1(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(B, C)=k1_xtuple_0(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d13_mcart_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (B=k12_mcart_1(A) <=>  (k9_xtuple_0(B)=k9_xtuple_0(A) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(B, C)=k2_xtuple_0(k1_funct_1(A, C))) ) ) ) ) ) ) ) ).
fof(d13_ordinal1, axiom, k5_ordinal1=k1_xboole_0).
fof(d14_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, C)) => k6_msafree5(A, B, C, D)=k2_trees_4(k2_zfmisc_1(k1_msafree4(u1_struct_0(A), B, C), u1_struct_0(A)), k1_domain_1(k1_msafree4(u1_struct_0(A), B, C), u1_struct_0(A), D, C))) ) ) ) ) ) ) ) ).
fof(d17_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] : k10_relat_1(A, B)=k8_relat_1(A, k1_tarski(B))) ) ) ).
fof(d1_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k1_finseq_1(A)=a_1_0_finseq_1(A)) ) ).
fof(d1_tarski, axiom,  (! [A] :  (! [B] :  (B=k1_tarski(A) <=>  (! [C] :  (r2_hidden(C, B) <=> C=A) ) ) ) ) ).
fof(d1_trees_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (A=B <=>  (k9_xtuple_0(A)=k9_xtuple_0(B) &  (! [C] :  (m1_trees_1(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) ) ) ) ) ) ).
fof(d21_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) &  (v8_msafree4(C, A, B) & l3_msualg_1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, D)) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, C))) =>  (v9_msafree5(F, A, B, C, D, E) <=> k10_relat_1(F, k1_domain_1(k1_msafree4(u1_struct_0(A), B, D), u1_struct_0(A), E, D))=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_trees_4, axiom,  (! [A] : k1_trees_4(A)=k7_funcop_1(k2_trees_1(k5_numbers), A)) ).
fof(d36_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, k3_card_3(B)) =>  (v17_msafree5(D, A, B, C) <=>  (k4_finseq_1(D)=k4_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => r2_tarski(k1_funct_1(D, E), k1_funct_1(B, k1_funct_1(C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d37_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m2_finseq_1(C, u1_struct_0(A)) =>  (! [D] :  (m2_finseq_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v18_msafree5(D, A, B, C) <=>  (k4_finseq_1(D)=k4_finseq_1(C) &  (! [E] :  (v7_ordinal1(E) =>  (r2_tarski(E, k4_finseq_1(C)) => r2_tarski(k1_funct_1(D, E), k1_funct_1(u3_msualg_1(A, k1_msafree3(A, B)), k1_funct_1(C, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d38_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(A)))  =>  (! [D] :  ( (v17_msafree5(D, A, B, C) & m2_finseq_1(D, k3_card_3(B)))  =>  (! [E] :  (m2_finseq_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (v19_msafree5(E, A, B, C, D) <=>  (k4_finseq_1(E)=k4_finseq_1(C) &  (! [F] :  (m2_subset_1(F, k4_ordinal1, k4_finseq_1(C)) =>  (v8_msafree5(k1_funct_1(E, F), A, B, k1_msafree3(A, B), k25_msafree5(A, C, F), k26_msafree5(A, B, C, D, F)) & m1_subset_1(k1_funct_1(E, F), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d39_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(A)))  =>  (! [D] :  ( (v17_msafree5(D, A, B, C) & m2_finseq_1(D, k3_card_3(B)))  =>  (! [E] :  ( (v17_msafree5(E, A, B, C) & m2_finseq_1(E, k3_card_3(B)))  =>  (v20_msafree5(E, A, B, C, D) <=> r1_subset_1(k10_xtuple_0(D), k10_xtuple_0(E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (B=k10_xtuple_0(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  (r2_hidden(D, k9_xtuple_0(A)) & C=k1_funct_1(A, D)) ) ) ) ) ) ) ) ).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d40_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(A)))  =>  (! [D] :  ( (v17_msafree5(D, A, B, C) & m2_finseq_1(D, k3_card_3(B)))  =>  (! [E] :  ( (v17_msafree5(E, A, B, C) & m2_finseq_1(E, k3_card_3(B)))  =>  (! [F] :  ( (v18_msafree5(F, A, B, C) & m2_finseq_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  =>  (! [G] :  ( (v19_msafree5(G, A, B, C, E) & m2_finseq_1(G, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  =>  (v21_msafree5(G, A, B, C, D, E, F) <=>  (! [H] :  (m2_subset_1(H, k4_ordinal1, k4_finseq_1(C)) =>  (! [I] :  (m2_subset_1(I, k4_ordinal1, k4_finseq_1(C)) =>  (k2_xcmplx_0(H, 1)=I => k18_msafree5(A, B, k25_msafree5(A, C, I), k26_msafree5(A, B, C, E, I), k28_msafree5(A, B, C, E, G, I), k6_msafree5(A, B, k25_msafree5(A, C, I), k26_msafree5(A, B, C, D, I)))=k18_msafree5(A, B, k25_msafree5(A, C, H), k26_msafree5(A, B, C, E, H), k28_msafree5(A, B, C, E, G, H), k27_msafree5(A, B, C, F, H))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d42_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (m2_msafree5(D, A, B, C) <=>  (? [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) &  (v2_funct_1(E) & v1_finseq_1(E)) ) )  &  (k10_xtuple_0(E)=a_3_5_msafree5(A, B, C) &  (k4_finseq_1(D)=k4_finseq_1(E) &  (! [F] :  (v7_ordinal1(F) =>  (r2_tarski(F, k4_finseq_1(D)) => k1_funct_1(D, F)=k1_funct_1(C, k1_funct_1(E, F))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_finseq_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (m1_finseq_1(B, A) <=> r1_tarski(k10_xtuple_0(B), A)) ) ) ) ).
fof(d4_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v2_funct_1(A) <=>  (! [B] :  (! [C] :  ( (r2_hidden(B, k9_xtuple_0(A)) &  (r2_hidden(C, k9_xtuple_0(A)) & k1_funct_1(A, B)=k1_funct_1(A, C)) )  => B=C) ) ) ) ) ) ).
fof(d5_tarski, axiom,  (! [A] :  (! [B] : k4_tarski(A, B)=k2_tarski(k2_tarski(A, B), k1_tarski(A))) ) ).
fof(d5_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k4_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) &  ~ (r2_hidden(D, B)) ) ) ) ) ) ) ) ).
fof(d6_partfun1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => k7_partfun1(A, B, C)=k1_funct_1(B, C)) ) ) ) ) ).
fof(d7_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (C=k8_relat_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, k9_xtuple_0(A)) & r2_tarski(k1_funct_1(A, D), B)) ) ) ) ) ) ) ) ).
fof(d8_xboole_0, axiom,  (! [A] :  (! [B] :  (r2_xboole_0(A, B) <=>  (r1_tarski(A, B) &  ~ (A=B) ) ) ) ) ).
fof(d9_trees_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  (m2_finseq_1(B, k4_ordinal1) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_trees_1(C))  =>  (r2_tarski(B, A) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  & v1_trees_1(D))  =>  (D=k5_trees_1(A, B, C) <=>  (! [E] :  (m2_finseq_1(E, k4_ordinal1) =>  (r2_tarski(E, D) <=>  ~ ( ( ~ ( (r2_tarski(E, A) &  ~ (r2_xboole_0(B, E)) ) )  &  (! [F] :  (m2_finseq_1(F, k4_ordinal1) =>  ~ ( (r2_tarski(F, C) & E=k8_finseq_1(k4_ordinal1, B, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_g3_msualg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  & m2_pboole(C, u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), B)), k3_relat_1(u2_msualg_1(A), B))) )  =>  (v3_msualg_1(g3_msualg_1(A, B, C), A) & l3_msualg_1(g3_msualg_1(A, B, C), A)) ) ) ).
fof(dt_k10_relat_1, axiom, $true).
fof(dt_k10_subset_1, axiom,  (! [A, B] : m1_subset_1(k10_subset_1(A, B), B)) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k11_mcart_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k11_mcart_1(A)) & v1_funct_1(k11_mcart_1(A))) ) ) ).
fof(dt_k12_fomodel0, axiom,  (! [A, B] : m1_subset_1(k12_fomodel0(A, B), k1_zfmisc_1(A))) ).
fof(dt_k12_mcart_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k12_mcart_1(A)) & v1_funct_1(k12_mcart_1(A))) ) ) ).
fof(dt_k13_finseq_1, axiom, $true).
fof(dt_k13_fomodel0, axiom, $true).
fof(dt_k14_fomodel0, axiom,  (! [A, B] : m1_subset_1(k14_fomodel0(A, B), k1_zfmisc_1(A))) ).
fof(dt_k15_fomodel0, axiom,  (! [A, B] : m1_subset_1(k15_fomodel0(A, B), k1_zfmisc_1(k2_xboole_0(A, B)))) ).
fof(dt_k18_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C)) &  ( (v8_msafree5(E, A, B, k1_msafree3(A, B), C, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  & m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) )  => m1_msafree4(k18_msafree5(A, B, C, D, E, F), u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k3_msafree5(A, k1_msafree3(A, B), E)))) ) ).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
fof(dt_k1_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) & m1_subset_1(D, B)) ) )  => m1_subset_1(k1_domain_1(A, B, C, D), k2_zfmisc_1(A, B))) ) ).
fof(dt_k1_finseq_1, axiom, $true).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k1_funct_4(A, B)) & v1_funct_1(k1_funct_4(A, B))) ) ) ).
fof(dt_k1_msafree3, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (v3_msualg_1(k1_msafree3(A, B), A) & l3_msualg_1(k1_msafree3(A, B), A)) ) ) ).
fof(dt_k1_msafree4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_subset_1(C, A))  => m1_subset_1(k1_msafree4(A, B, C), k10_xtuple_0(B))) ) ).
fof(dt_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k1_nat_1(A, B), k4_ordinal1)) ) ).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => m1_subset_1(k1_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_trees_4, axiom,  (! [A] :  (v1_relat_1(k1_trees_4(A)) &  (v1_funct_1(k1_trees_4(A)) & v3_trees_2(k1_trees_4(A))) ) ) ).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_xtuple_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k24_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => m1_subset_1(k24_fomodel0(A, B), k1_zfmisc_1(B))) ) ).
fof(dt_k25_fomodel0, axiom, $true).
fof(dt_k25_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ( ~ (v1_xboole_0(B))  & m1_finseq_1(B, u1_struct_0(A)))  & m1_subset_1(C, k4_finseq_1(B))) )  => m1_subset_1(k25_msafree5(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k26_fomodel0, axiom, $true).
fof(dt_k26_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  ( (v17_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(B)))  & m1_subset_1(E, k4_finseq_1(C))) ) ) )  => m1_msafree4(k26_msafree5(A, B, C, D, E), u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, k25_msafree5(A, C, E)))) ) ).
fof(dt_k27_fomodel0, axiom, $true).
fof(dt_k27_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  ( (v18_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  & m1_subset_1(E, k4_finseq_1(C))) ) ) )  => m1_msafree4(k27_msafree5(A, B, C, D, E), u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k25_msafree5(A, C, E)))) ) ).
fof(dt_k28_fomodel0, axiom, $true).
fof(dt_k28_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  ( (v17_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(B)))  &  ( (v19_msafree5(E, A, B, C, D) & m1_finseq_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  & m1_subset_1(F, k4_finseq_1(C))) ) ) ) )  =>  (v8_msafree5(k28_msafree5(A, B, C, D, E, F), A, B, k1_msafree3(A, B), k25_msafree5(A, C, F), k26_msafree5(A, B, C, D, F)) & m1_subset_1(k28_msafree5(A, B, C, D, E, F), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ).
fof(dt_k29_fomodel0, axiom, $true).
fof(dt_k2_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k2_zfmisc_1(A, B))) )  => m1_subset_1(k2_domain_1(A, B, C), A)) ) ).
fof(dt_k2_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k2_finseq_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k2_funcop_1, axiom, $true).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_tarski, axiom, $true).
fof(dt_k2_trees_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v1_xboole_0(k2_trees_1(A)))  & v1_trees_1(k2_trees_1(A))) ) ) ).
fof(dt_k2_trees_4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m1_subset_1(k2_trees_4(A, B), k5_trees_3(A))) ) ).
fof(dt_k2_xboole_0, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_xtuple_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_card_3, axiom, $true).
fof(dt_k3_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k2_zfmisc_1(A, B))) )  => m1_subset_1(k3_domain_1(A, B, C), B)) ) ).
fof(dt_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k3_finseq_1(A), k4_ordinal1)) ) ).
fof(dt_k3_finseq_2, axiom,  (! [A] : m1_finseq_2(k3_finseq_2(A), A)) ).
fof(dt_k3_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ( ~ (v1_catalg_1(B, A))  & l3_msualg_1(B, A))  & m1_subset_1(C, k3_card_3(u3_msualg_1(A, B)))) )  => m1_subset_1(k3_msafree5(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_xboole_0, axiom, $true).
fof(dt_k4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k4_finseq_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k4_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v4_msualg_1(B, A) & l3_msualg_1(B, A))  &  ( (v4_msualg_1(C, A) & l3_msualg_1(C, A))  &  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, B)))) ) ) )  => m1_subset_1(k4_msafree5(A, B, C, D, E), k3_card_3(u3_msualg_1(A, C)))) ) ).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_xboole_0, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k5_relat_1(A, B))) ) ).
fof(dt_k5_trees_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  &  (m1_finseq_1(B, k4_ordinal1) &  ( ~ (v1_xboole_0(C))  & v1_trees_1(C)) ) )  =>  ( ~ (v1_xboole_0(k5_trees_1(A, B, C)))  & v1_trees_1(k5_trees_1(A, B, C))) ) ) ).
fof(dt_k5_trees_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  & m1_finseq_1(B, k4_ordinal1))  =>  (v1_relat_1(k5_trees_2(A, B)) &  (v1_funct_1(k5_trees_2(A, B)) & v3_trees_2(k5_trees_2(A, B))) ) ) ) ).
fof(dt_k5_trees_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_trees_3(k5_trees_3(A), A)) ) ).
fof(dt_k6_domain_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m1_subset_1(k6_domain_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k6_finseq_2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(k6_finseq_2(A, B)) &  (v4_relat_1(k6_finseq_2(A, B), k3_finseq_2(A)) &  (v1_funct_1(k6_finseq_2(A, B)) & v1_partfun1(k6_finseq_2(A, B), k3_finseq_2(A))) ) ) ) ) ).
fof(dt_k6_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C))) ) )  => m1_msafree4(k6_msafree5(A, B, C, D), u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, B)), C))) ) ).
fof(dt_k6_numbers, axiom, $true).
fof(dt_k6_subset_1, axiom,  (! [A, B] : m1_subset_1(k6_subset_1(A, B), k1_zfmisc_1(A))) ).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ).
fof(dt_k7_funcop_1, axiom,  (! [A, B] :  (v1_funct_1(k7_funcop_1(A, B)) &  (v1_funct_2(k7_funcop_1(A, B), A, k1_tarski(B)) & m1_subset_1(k7_funcop_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_tarski(B))))) ) ) ).
fof(dt_k7_partfun1, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  => m1_subset_1(k7_partfun1(A, B, C), A)) ) ).
fof(dt_k7_trees_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  &  (m1_finseq_1(B, k4_ordinal1) &  (v1_relat_1(C) &  (v1_funct_1(C) & v3_trees_2(C)) ) ) )  =>  (v1_relat_1(k7_trees_2(A, B, C)) &  (v1_funct_1(k7_trees_2(A, B, C)) & v3_trees_2(k7_trees_2(A, B, C))) ) ) ) ).
fof(dt_k7_xcmplx_0, axiom, $true).
fof(dt_k8_finseq_1, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_finseq_1(C, A))  => m2_finseq_1(k8_finseq_1(A, B, C), A)) ) ).
fof(dt_k8_relat_1, axiom, $true).
fof(dt_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => m1_subset_1(k9_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_l1_msualg_1, axiom,  (! [A] :  (l1_msualg_1(A) => l5_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l2_msualg_1, axiom, $true).
fof(dt_l3_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (! [B] :  (l3_msualg_1(B, A) => l2_msualg_1(B, A)) ) ) ) ).
fof(dt_l5_struct_0, axiom,  (! [A] :  (l5_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_m1_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(dt_m1_finseq_2, axiom, $true).
fof(dt_m1_msafree4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m1_subset_1(C, k10_xtuple_0(B)))  =>  (! [D] :  (m1_msafree4(D, A, B, C) => m1_subset_1(D, k3_card_3(B))) ) ) ) ).
fof(dt_m1_msualg_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  =>  (! [C] :  (m1_msualg_6(C, A, B) => m2_pboole(C, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, B))) ) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m1_trees_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  (m1_trees_1(B, A) => m2_finseq_1(B, k4_ordinal1)) ) ) ) ).
fof(dt_m1_trees_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_trees_3(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(dt_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (v1_funct_1(B) &  (v1_finseq_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ) ).
fof(dt_m2_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) )  =>  (! [D] :  (m2_msafree5(D, A, B, C) =>  (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) ) ) ).
fof(dt_m2_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m2_pboole(D, A, B, C) =>  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v1_funct_1(D) & v1_partfun1(D, A)) ) ) ) ) ) ) ).
fof(dt_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) => m1_subset_1(C, A)) ) ) ) ).
fof(dt_o_5_5_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v6_msafree5(B)) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(A)))  &  ( (v17_msafree5(D, A, B, C) & m2_finseq_1(D, k3_card_3(B)))  &  (v18_msafree5(E, A, B, C) & m2_finseq_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) )  =>  (v2_funct_1(o_5_5_msafree5(A, B, C, D, E)) &  (v17_msafree5(o_5_5_msafree5(A, B, C, D, E), A, B, C) &  (v20_msafree5(o_5_5_msafree5(A, B, C, D, E), A, B, C, D) &  (v22_msafree5(o_5_5_msafree5(A, B, C, D, E), A, B, C, E) & m2_finseq_1(o_5_5_msafree5(A, B, C, D, E), k3_card_3(B))) ) ) ) ) ) ).
fof(dt_u1_msualg_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v1_funct_1(u1_msualg_1(A)) &  (v1_funct_2(u1_msualg_1(A), u4_struct_0(A), k3_finseq_2(u1_struct_0(A))) & m1_subset_1(u1_msualg_1(A), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), k3_finseq_2(u1_struct_0(A)))))) ) ) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(dt_u2_msualg_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (v1_funct_1(u2_msualg_1(A)) &  (v1_funct_2(u2_msualg_1(A), u4_struct_0(A), u1_struct_0(A)) & m1_subset_1(u2_msualg_1(A), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_u3_msualg_1, axiom,  (! [A, B] :  ( (l1_struct_0(A) & l2_msualg_1(B, A))  =>  (v1_relat_1(u3_msualg_1(A, B)) &  (v4_relat_1(u3_msualg_1(A, B), u1_struct_0(A)) &  (v1_funct_1(u3_msualg_1(A, B)) & v1_partfun1(u3_msualg_1(A, B), u1_struct_0(A))) ) ) ) ) ).
fof(dt_u4_msualg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  & l3_msualg_1(B, A))  => m2_pboole(u4_msualg_1(A, B), u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), u3_msualg_1(A, B))), k3_relat_1(u2_msualg_1(A), u3_msualg_1(A, B)))) ) ).
fof(dt_u4_struct_0, axiom, $true).
fof(existence_l1_msualg_1, axiom,  (? [A] : l1_msualg_1(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l2_msualg_1, axiom,  (! [A] :  (l1_struct_0(A) =>  (? [B] : l2_msualg_1(B, A)) ) ) ).
fof(existence_l3_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (? [B] : l3_msualg_1(B, A)) ) ) ).
fof(existence_l5_struct_0, axiom,  (? [A] : l5_struct_0(A)) ).
fof(existence_m1_finseq_1, axiom,  (! [A] :  (? [B] : m1_finseq_1(B, A)) ) ).
fof(existence_m1_finseq_2, axiom,  (! [A] :  (? [B] : m1_finseq_2(B, A)) ) ).
fof(existence_m1_msafree4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m1_subset_1(C, k10_xtuple_0(B)))  =>  (? [D] : m1_msafree4(D, A, B, C)) ) ) ).
fof(existence_m1_msualg_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & l3_msualg_1(B, A))  =>  (? [C] : m1_msualg_6(C, A, B)) ) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m1_trees_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (? [B] : m1_trees_1(B, A)) ) ) ).
fof(existence_m1_trees_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] : m1_trees_3(B, A)) ) ) ).
fof(existence_m2_finseq_1, axiom,  (! [A] :  (? [B] : m2_finseq_1(B, A)) ) ).
fof(existence_m2_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) )  =>  (? [D] : m2_msafree5(D, A, B, C)) ) ) ).
fof(existence_m2_pboole, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (? [D] : m2_pboole(D, A, B, C)) ) ) ).
fof(existence_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (? [C] : m2_subset_1(C, A, B)) ) ) ).
fof(fc100_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v7_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc101_fomodel0, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(B)))  => v1_xboole_0(k4_xboole_0(k6_subset_1(k2_xboole_0(C, D), B), A))) ) ).
fof(fc101_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v10_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc102_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v8_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc103_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(k9_xtuple_0(B), k9_xtuple_0(A)))) ) ).
fof(fc103_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v9_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc104_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(k10_xtuple_0(B), k10_xtuple_0(A)))) ) ).
fof(fc105_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k4_xboole_0(k9_xtuple_0(k2_zfmisc_1(A, B)), A))) ).
fof(fc107_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k4_xboole_0(k10_xtuple_0(k2_zfmisc_1(A, B)), B))) ).
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(fc10_finset_1, axiom,  (! [A, B] :  (v1_finset_1(B) => v1_finset_1(k3_xboole_0(A, B))) ) ).
fof(fc10_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  => v3_fomodel0(k3_xboole_0(B, A), A)) ) ).
fof(fc10_funcop_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v1_funcop_1(k3_relat_1(B, A))) ) ) ).
fof(fc10_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  => v1_setfam_1(k10_xtuple_0(A))) ) ).
fof(fc10_membered, axiom,  (! [A] :  (v1_rat_1(A) => v4_membered(k1_tarski(A))) ) ).
fof(fc10_msafree4, axiom,  (! [A, B] :  (v4_card_3(B) =>  (v1_relat_1(k2_funcop_1(A, B)) &  (v4_relat_1(k2_funcop_1(A, B), A) &  (v1_funct_1(k2_funcop_1(A, B)) &  (v1_partfun1(k2_funcop_1(A, B), A) & v1_msafree4(k2_funcop_1(A, B), A)) ) ) ) ) ) ).
fof(fc10_nat_1, axiom,  (! [A, B] :  (v3_ordinal1(A) => v5_ordinal1(k2_funcop_1(A, B))) ) ).
fof(fc10_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
fof(fc10_relset_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A)))) )  =>  ( ~ (v1_xboole_0(k5_relat_1(A, B)))  & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc10_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k2_zfmisc_1(A, B))) ) ) ).
fof(fc10_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v4_valued_0(A))  &  (v1_relat_1(B) & v4_valued_0(B)) )  => v4_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc111_fomodel0, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v1_xboole_0(k3_xboole_0(k6_subset_1(A, B), C))) ) ).
fof(fc115_fomodel0, axiom,  (! [A, B, C, D] : v1_xboole_0(k4_xboole_0(k2_zfmisc_1(A, B), k2_zfmisc_1(k2_xboole_0(A, C), k2_xboole_0(B, D))))) ).
fof(fc119_fomodel0, axiom,  (! [A, B] : v5_relat_1(k2_zfmisc_1(A, B), B)) ).
fof(fc11_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k3_xboole_0(A, B))) ) ).
fof(fc11_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => v2_relat_1(k2_funcop_1(A, B))) ) ).
fof(fc11_funct_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  ~ (v1_xboole_0(k1_funct_1(A, B))) ) ) ).
fof(fc11_membered, axiom,  (! [A] :  (v1_int_1(A) => v5_membered(k1_tarski(A))) ) ).
fof(fc11_msafree4, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_msafree4(B, A)) ) ) )  => v4_card_3(k1_funct_1(B, C))) ) ).
fof(fc11_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  => v1_setfam_1(k1_tarski(A))) ) ).
fof(fc11_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A))) ) ).
fof(fc11_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v5_valued_0(A))  &  (v1_relat_1(B) & v5_valued_0(B)) )  => v5_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc11_xxreal_2, axiom,  ( ~ (v3_xxreal_2(k1_numbers))  &  ~ (v4_xxreal_2(k1_numbers)) ) ).
fof(fc120_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(k1_funct_4(k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k2_zfmisc_1(k1_tarski(B), k1_tarski(A)))) &  (v1_funct_1(k1_funct_4(k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k2_zfmisc_1(k1_tarski(B), k1_tarski(A)))) & v3_relat_2(k1_funct_4(k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k2_zfmisc_1(k1_tarski(B), k1_tarski(A))))) ) ) ).
fof(fc121_fomodel0, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) & m1_subset_1(C, k1_zfmisc_1(A)))  => v1_xboole_0(k4_xboole_0(k8_relat_1(B, C), k8_relat_1(B, A)))) ) ).
fof(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(A))) ) ) ).
fof(fc12_finseq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k13_finseq_1(A))) ) ).
fof(fc12_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k4_xboole_0(A, B))) ) ).
fof(fc12_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc12_membered, axiom,  (! [A] :  (v7_ordinal1(A) => v6_membered(k1_tarski(A))) ) ).
fof(fc12_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C))) ) )  =>  ~ (v5_abcmiz_1(k6_msafree5(A, B, C, D), A, B)) ) ) ).
fof(fc12_nat_1, axiom,  (! [A, B] :  ( ( ~ (v8_ordinal1(A))  &  ~ (v8_ordinal1(B)) )  => v1_setfam_1(k2_tarski(A, B))) ) ).
fof(fc12_ordinal6, axiom,  (! [A, B] :  ( (v1_ordinal6(A) & v1_ordinal6(B))  => v1_ordinal6(k2_xboole_0(A, B))) ) ).
fof(fc12_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(B))  =>  (v1_xboole_0(k3_relat_1(A, B)) & v1_relat_1(k3_relat_1(A, B))) ) ) ).
fof(fc12_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v6_valued_0(A))  &  (v1_relat_1(B) & v6_valued_0(B)) )  => v6_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc12_xxreal_2, axiom, v6_xxreal_2(k6_numbers)).
fof(fc133_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_abian(A)) )  =>  ~ (v1_xboole_0(k9_xtuple_0(A))) ) ) ).
fof(fc136_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v5_fomodel0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v5_fomodel0(k3_relat_1(A, B))) ) ) ).
fof(fc137_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v5_fomodel0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc138_fomodel0, axiom,  (! [A, B, C] :  (v1_zfmisc_1(C) =>  (v1_relat_1(k3_relat_1(k2_zfmisc_1(A, B), k2_zfmisc_1(B, C))) & v1_funct_1(k3_relat_1(k2_zfmisc_1(A, B), k2_zfmisc_1(B, C)))) ) ) ).
fof(fc13_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(A, B))) ) ) ).
fof(fc13_card_3, axiom,  (! [A, B] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k2_funcop_1(A, B))) ) ) ).
fof(fc13_finseq_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_finseq_1(k5_relat_1(A, B))) ) ) ).
fof(fc13_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ~ (v1_zfmisc_1(k10_xtuple_0(A))) ) ) ).
fof(fc13_membered, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_membered(k2_tarski(A, B))) ) ).
fof(fc13_ordinal6, axiom,  (! [A, B] :  (v1_ordinal6(A) => v1_ordinal6(k4_xboole_0(A, B))) ) ).
fof(fc13_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(B))  =>  (v1_xboole_0(k3_relat_1(B, A)) & v1_relat_1(k3_relat_1(B, A))) ) ) ).
fof(fc13_struct_0, axiom,  (! [A] :  ( (v11_struct_0(A) & l5_struct_0(A))  => v1_xboole_0(u4_struct_0(A))) ) ).
fof(fc13_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_valued_0(A))  & v1_relat_1(B))  => v1_valued_0(k3_xboole_0(A, B))) ) ).
fof(fc14_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, A))) ) ) ).
fof(fc14_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_zfmisc_1(A, B))) ) ).
fof(fc14_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_funcop_1(k5_relat_1(A, B))) ) ) ).
fof(fc14_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k1_tarski(A))) ) ).
fof(fc14_membered, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => v2_membered(k2_tarski(A, B))) ) ).
fof(fc14_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v3_msualg_1(k1_msafree3(A, B), A) & v5_msafree4(k1_msafree3(A, B), A, B)) ) ) ).
fof(fc14_struct_0, axiom,  (! [A] :  ( ( ~ (v11_struct_0(A))  & l5_struct_0(A))  =>  ~ (v1_xboole_0(u4_struct_0(A))) ) ) ).
fof(fc14_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_valued_0(A))  & v1_relat_1(B))  => v1_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc15_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_finseq_1(k1_finseq_1(A))) ) ).
fof(fc15_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => v1_funcop_1(k2_funcop_1(A, B))) ) ).
fof(fc15_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => v4_funct_1(k2_tarski(A, B))) ) ).
fof(fc15_membered, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v3_membered(k2_tarski(A, B))) ) ).
fof(fc15_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v3_msualg_1(k1_msafree3(A, B), A) &  (v4_msualg_1(k1_msafree3(A, B), A) & v1_msafree1(k1_msafree3(A, B), A)) ) ) ) ).
fof(fc15_msafree5, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  => v4_finseq_1(k8_relat_1(A, B))) ) ).
fof(fc15_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v2_relat_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_relat_1(k3_relat_1(A, B))) ) ) ).
fof(fc15_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v2_valued_0(A))  & v1_relat_1(B))  => v2_valued_0(k3_xboole_0(A, B))) ) ).
fof(fc16_card_1, axiom,  (! [A] : v3_card_1(k1_tarski(A), 1)) ).
fof(fc16_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v3_finseq_1(k1_tarski(A))) ) ).
fof(fc16_funcop_1, axiom,  (! [A, B] : v3_funct_1(k2_funcop_1(A, B))) ).
fof(fc16_membered, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v1_rat_1(B))  => v4_membered(k2_tarski(A, B))) ) ).
fof(fc16_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v3_msualg_1(k1_msafree3(A, B), A) &  (v6_msafree4(k1_msafree3(A, B), A, B) &  (v7_msafree4(k1_msafree3(A, B), A, B) & v8_msafree4(k1_msafree3(A, B), A, B)) ) ) ) ) ).
fof(fc16_ordinal6, axiom,  ~ (v1_zfmisc_1(k4_ordinal1)) ).
fof(fc16_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  =>  (v1_xboole_0(k5_relat_1(A, B)) & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc16_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v2_valued_0(A))  & v1_relat_1(B))  => v2_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc17_card_1, axiom,  (! [A, B] :  ( (v1_card_1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) )  => v3_card_1(k9_xtuple_0(B), A)) ) ).
fof(fc17_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v3_finseq_1(k9_xtuple_0(A))) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc17_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_funct_1(k5_relat_1(A, B))) ) ) ).
fof(fc17_funct_1, axiom,  (! [A, B, C] :  ( (v4_funct_1(A) &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_1(C, B)) & v1_funct_1(k1_funct_1(C, B))) ) ) ).
fof(fc17_membered, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v5_membered(k2_tarski(A, B))) ) ).
fof(fc17_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_xboole_0(k5_relat_1(A, B)) & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc17_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v3_valued_0(A))  & v1_relat_1(B))  => v3_valued_0(k3_xboole_0(A, B))) ) ).
fof(fc17_xxreal_2, axiom, v6_xxreal_2(k1_numbers)).
fof(fc18_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_zfmisc_1(A))  &  (v3_card_1(B, 1) & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  ~ (v1_xboole_0(k4_xboole_0(A, B))) ) ) ).
fof(fc18_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  => v3_finseq_1(k9_xtuple_0(A))) ) ).
fof(fc18_funcop_1, axiom,  (! [A, B] : v4_relat_1(k2_funcop_1(A, B), A)) ).
fof(fc18_funct_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  ~ (v1_zfmisc_1(k9_xtuple_0(A))) ) ) ).
fof(fc18_membered, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v6_membered(k2_tarski(A, B))) ) ).
fof(fc18_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v3_valued_0(A))  & v1_relat_1(B))  => v3_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc18_xxreal_2, axiom,  (! [A, B] :  ( ( (v2_membered(A) & v6_xxreal_2(A))  &  (v2_membered(B) & v6_xxreal_2(B)) )  => v6_xxreal_2(k3_xboole_0(A, B))) ) ).
fof(fc19_finseq_1, axiom,  (! [A, B] :  ( (v3_finseq_1(A) & v3_finseq_1(B))  => v3_finseq_1(k2_xboole_0(A, B))) ) ).
fof(fc19_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k9_xtuple_0(A))) ) ).
fof(fc19_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_relat_1(k3_relat_1(D, C)) & v1_finseq_1(k3_relat_1(D, C))) ) ) ).
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(fc19_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C))) ) )  => v8_msafree5(k6_msafree5(A, B, C, D), A, B, k1_msafree3(A, B), C, D)) ) ).
fof(fc19_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v2_card_3(k1_tarski(A))) ) ).
fof(fc19_struct_0, axiom,  (! [A, B] :  ( (v1_card_1(A) &  (v13_struct_0(B, A) & l1_struct_0(B)) )  => v3_card_1(u1_struct_0(B), A)) ) ).
fof(fc19_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v4_valued_0(A))  & v1_relat_1(B))  => v4_valued_0(k3_xboole_0(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_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_card_3(k5_relat_1(A, B))) ) ) ).
fof(fc1_catalg_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ~ (v1_catalg_1(B, A))  & l3_msualg_1(B, A)) )  =>  (v1_relat_1(u3_msualg_1(A, B)) &  ( ~ (v3_relat_1(u3_msualg_1(A, B)))  &  (v4_relat_1(u3_msualg_1(A, B), u1_struct_0(A)) &  (v1_funct_1(u3_msualg_1(A, B)) & v1_partfun1(u3_msualg_1(A, B), u1_struct_0(A))) ) ) ) ) ) ).
fof(fc1_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k1_finseq_1(A))) ) ).
fof(fc1_finset_1, axiom,  (! [A] : v1_finset_1(k1_tarski(A))) ).
fof(fc1_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k2_funcop_1(A, B)) & v1_funct_1(k2_funcop_1(A, B))) ) ).
fof(fc1_funct_1, axiom,  (! [A, B] : v1_funct_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_membered, axiom, v1_membered(k2_numbers)).
fof(fc1_msafree1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  ~ (v1_xboole_0(k10_xtuple_0(B))) ) ) ).
fof(fc1_msafree3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ~ (v1_catalg_1(B, A))  & l3_msualg_1(B, A)) )  =>  ~ (v1_xboole_0(k3_card_3(u3_msualg_1(A, B)))) ) ) ).
fof(fc1_msafree5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v5_msafree5(B)) ) ) )  & m1_subset_1(C, A)) )  =>  ~ (v1_zfmisc_1(k1_funct_1(B, C))) ) ) ).
fof(fc1_msualg_1, axiom,  (! [A, B] :  ( (l1_struct_0(A) &  (v4_msualg_1(B, A) & l2_msualg_1(B, A)) )  =>  (v1_relat_1(u3_msualg_1(A, B)) &  (v2_relat_1(u3_msualg_1(A, B)) &  (v4_relat_1(u3_msualg_1(A, B), u1_struct_0(A)) &  (v1_funct_1(u3_msualg_1(A, B)) & v1_partfun1(u3_msualg_1(A, B), u1_struct_0(A))) ) ) ) ) ) ).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_pboole, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) &  (v1_funct_1(D) & v1_partfun1(D, B)) ) ) ) )  =>  (v1_relat_1(k3_relat_1(C, D)) &  (v4_relat_1(k3_relat_1(C, D), A) &  (v1_funct_1(k3_relat_1(C, D)) & v1_partfun1(k3_relat_1(C, D), A)) ) ) ) ) ).
fof(fc1_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k3_xboole_0(A, B))) ) ).
fof(fc1_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  &  (v1_relat_1(C) & v4_relat_1(C, A)) )  => v4_relat_1(k2_xboole_0(B, C), A)) ) ).
fof(fc1_struct_0, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_struct_0(A))  => v1_xboole_0(u1_struct_0(A))) ) ).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  => v1_membered(k10_xtuple_0(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc1_xtuple_0, axiom,  (! [A, B] : v1_xtuple_0(k4_tarski(A, B))) ).
fof(fc1_zfmisc_1, axiom,  (! [A] : v1_zfmisc_1(k1_tarski(A))) ).
fof(fc20_finseq_1, axiom,  (! [A, B] :  (v3_finseq_1(A) => v3_finseq_1(k4_xboole_0(A, B))) ) ).
fof(fc20_finset_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v1_finset_1(k3_relat_1(B, A))) ) ) ).
fof(fc20_fomodel0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v7_ordinal1(C) &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(E) &  (v5_relat_1(E, A) &  (v1_funct_1(E) &  (v3_card_1(E, C) & v1_finseq_1(E)) ) ) ) ) ) ) )  => v3_card_1(k3_relat_1(E, D), C)) ) ).
fof(fc20_struct_0, axiom,  (! [A] :  ( (v15_struct_0(A) & l5_struct_0(A))  => v1_zfmisc_1(u4_struct_0(A))) ) ).
fof(fc20_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v4_valued_0(A))  & v1_relat_1(B))  => v4_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc21_finseq_1, axiom,  (! [A, B] :  (v3_finseq_1(A) => v3_finseq_1(k3_xboole_0(A, B))) ) ).
fof(fc21_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k2_funcop_1(A, B)) &  (v4_relat_1(k2_funcop_1(A, B), A) &  (v1_funct_1(k2_funcop_1(A, B)) & v1_partfun1(k2_funcop_1(A, B), A)) ) ) ) ).
fof(fc21_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  => v1_xboole_0(k8_relat_1(A, B))) ) ).
fof(fc21_struct_0, axiom,  (! [A] :  ( ( ~ (v15_struct_0(A))  & l5_struct_0(A))  =>  ~ (v1_zfmisc_1(u4_struct_0(A))) ) ) ).
fof(fc21_trees_3, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v3_trees_2(C)) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) )  =>  (v1_relat_1(k3_relat_1(C, D)) & v3_trees_2(k3_relat_1(C, D))) ) ) ).
fof(fc21_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v5_valued_0(A))  & v1_relat_1(B))  => v5_valued_0(k3_xboole_0(A, B))) ) ).
fof(fc22_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k10_xtuple_0(A))) ) ).
fof(fc22_fomodel0, axiom,  (! [A, B, C] : v1_xboole_0(k3_xboole_0(k6_subset_1(B, A), k3_xboole_0(A, C)))) ).
fof(fc22_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(A))  => v1_xboole_0(k8_relat_1(A, B))) ) ).
fof(fc22_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v5_valued_0(A))  & v1_relat_1(B))  => v5_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc23_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  => v1_finset_1(k8_relat_1(A, B))) ) ).
fof(fc23_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(C, B))  => v5_relat_1(k2_funcop_1(A, C), B)) ) ).
fof(fc23_ordinal6, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  & v3_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, B)) & v5_ordinal1(k5_relat_1(A, B))) ) ) ).
fof(fc23_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v3_relat_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc23_trees_3, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  &  ( ~ (v1_xboole_0(B))  & v1_trees_1(B)) )  =>  ( ~ (v1_xboole_0(k2_xboole_0(A, B)))  & v1_trees_1(k2_xboole_0(A, B))) ) ) ).
fof(fc23_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v6_valued_0(A))  & v1_relat_1(B))  => v6_valued_0(k3_xboole_0(A, B))) ) ).
fof(fc24_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  ( ~ (v1_xboole_0(k7_finseq_1(A, B)))  & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc24_finset_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_finset_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc24_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C)) &  (v8_msafree5(E, A, B, k1_msafree3(A, B), C, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) )  => v15_msafree5(k3_msafree5(A, k1_msafree3(A, B), E), A, C)) ) ).
fof(fc24_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k9_xtuple_0(A))) ) ).
fof(fc24_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v6_valued_0(A))  & v1_relat_1(B))  => v6_valued_0(k4_xboole_0(A, B))) ) ).
fof(fc25_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, A)) &  (v1_funct_1(k7_finseq_1(B, A)) &  ( ~ (v1_xboole_0(k7_finseq_1(B, A)))  & v1_finseq_1(k7_finseq_1(B, A))) ) ) ) ) ).
fof(fc25_membered, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  => v1_membered(k2_xboole_0(A, B))) ) ).
fof(fc25_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) )  => v4_finseq_1(k10_relat_1(C, D))) ) ).
fof(fc25_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc26_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_finset_1(B))  =>  (v1_relat_1(k5_relat_1(B, A)) & v1_finset_1(k5_relat_1(B, A))) ) ) ).
fof(fc26_fomodel0, axiom,  (! [A] : v1_xboole_0(k4_xboole_0(A, A))) ).
fof(fc26_membered, axiom,  (! [A, B] :  ( (v2_membered(A) & v2_membered(B))  => v2_membered(k2_xboole_0(A, B))) ) ).
fof(fc26_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k11_mcart_1(A)) &  (v1_funct_1(k11_mcart_1(A)) & v1_finseq_1(k11_mcart_1(A))) ) ) ) ).
fof(fc26_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v5_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) & v5_relat_1(k5_relat_1(C, A), B)) ) ) ).
fof(fc27_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k5_relat_1(B, A)) & v1_finset_1(k5_relat_1(B, A))) ) ) ).
fof(fc27_membered, axiom,  (! [A, B] :  ( (v3_membered(A) & v3_membered(B))  => v3_membered(k2_xboole_0(A, B))) ) ).
fof(fc27_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k12_mcart_1(A)) &  (v1_funct_1(k12_mcart_1(A)) & v1_finseq_1(k12_mcart_1(A))) ) ) ) ).
fof(fc27_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v4_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) &  (v4_relat_1(k5_relat_1(C, A), A) & v4_relat_1(k5_relat_1(C, A), B)) ) ) ) ).
fof(fc27_trees_3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k5_trees_3(A)))  => v1_finset_1(k9_xtuple_0(B))) ) ).
fof(fc28_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, C)) &  (v5_relat_1(k7_finseq_1(B, C), A) &  (v1_funct_1(k7_finseq_1(B, C)) & v1_finseq_1(k7_finseq_1(B, C))) ) ) ) ) ).
fof(fc28_membered, axiom,  (! [A, B] :  ( (v4_membered(A) & v4_membered(B))  => v4_membered(k2_xboole_0(A, B))) ) ).
fof(fc29_membered, axiom,  (! [A, B] :  ( (v5_membered(A) & v5_membered(B))  => v5_membered(k2_xboole_0(A, B))) ) ).
fof(fc29_relat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  =>  (v1_relat_1(k3_relat_1(C, B)) & v5_relat_1(k3_relat_1(C, B), A)) ) ) ).
fof(fc2_algspec1, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) &  (v1_msafree1(B, A) & l3_msualg_1(B, A)) ) )  =>  (v1_relat_1(u3_msualg_1(A, B)) &  (v4_relat_1(u3_msualg_1(A, B), u1_struct_0(A)) &  (v1_funct_1(u3_msualg_1(A, B)) &  (v2_funct_1(u3_msualg_1(A, B)) & v1_partfun1(u3_msualg_1(A, B), u1_struct_0(A))) ) ) ) ) ) ).
fof(fc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v8_ordinal1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc2_card_3, axiom,  (! [A, B] :  (v1_card_1(B) => v1_card_3(k2_funcop_1(A, B))) ) ).
fof(fc2_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_xboole_0(k1_finseq_1(A))) ) ) ).
fof(fc2_finset_1, axiom,  (! [A, B] : v1_finset_1(k2_tarski(A, B))) ).
fof(fc2_funcop_1, axiom,  (! [A] : v1_xboole_0(k2_funcop_1(k1_xboole_0, A))) ).
fof(fc2_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc2_membered, axiom, v2_membered(k6_numbers)).
fof(fc2_msafree3, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (v3_msualg_1(k1_msafree3(A, B), A) &  ~ (v1_catalg_1(k1_msafree3(A, B), A)) ) ) ) ).
fof(fc2_msafree4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_trees_3(A)) )  => v3_trees_3(k10_xtuple_0(A))) ) ).
fof(fc2_msafree5, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v6_msafree5(B)) ) ) )  & m1_subset_1(C, A)) )  =>  ~ (v1_finset_1(k1_funct_1(B, C))) ) ) ).
fof(fc2_ordinal6, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => v1_ordinal6(k4_xboole_0(A, B))) ) ).
fof(fc2_pboole, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m1_subset_1(C, A)) )  =>  ~ (v1_xboole_0(k1_funct_1(B, C))) ) ) ).
fof(fc2_ramsey_1, axiom,  (! [A, B] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k2_xboole_0(A, B))) ) ) ).
fof(fc2_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k4_xboole_0(A, B))) ) ).
fof(fc2_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(fc2_trees_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  ( ~ (v1_xboole_0(k9_xtuple_0(A)))  & v1_trees_1(k9_xtuple_0(A))) ) ) ).
fof(fc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  => v2_membered(k10_xtuple_0(A))) ) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(fc2_zfmisc_1, axiom,  (! [A, B] :  (v1_xboole_0(B) => v1_xboole_0(k2_zfmisc_1(A, B))) ) ).
fof(fc30_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_tarski(A))) ) ).
fof(fc30_fomodel0, axiom,  (! [A] :  (v1_relat_1(A) => v1_xboole_0(k4_xboole_0(A, k2_zfmisc_1(k9_xtuple_0(A), k10_xtuple_0(A))))) ) ).
fof(fc30_membered, axiom,  (! [A, B] :  ( (v6_membered(A) & v6_membered(B))  => v6_membered(k2_xboole_0(A, B))) ) ).
fof(fc30_relat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  =>  (v1_relat_1(k3_relat_1(B, C)) & v4_relat_1(k3_relat_1(B, C), A)) ) ) ).
fof(fc31_finseq_1, axiom,  (! [A] : v4_funct_1(k13_finseq_1(A))) ).
fof(fc31_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc31_membered, axiom,  (! [A, B] :  (v1_membered(A) => v1_membered(k3_xboole_0(A, B))) ) ).
fof(fc32_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v5_finset_1(k2_tarski(A, B))) ) ).
fof(fc32_membered, axiom,  (! [A, B] :  (v1_membered(A) => v1_membered(k3_xboole_0(B, A))) ) ).
fof(fc33_finset_1, axiom,  (! [A, B] :  ( (v5_finset_1(A) & v5_finset_1(B))  => v5_finset_1(k2_xboole_0(A, B))) ) ).
fof(fc33_membered, axiom,  (! [A, B] :  (v2_membered(A) => v2_membered(k3_xboole_0(A, B))) ) ).
fof(fc33_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_relat_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc34_membered, axiom,  (! [A, B] :  (v2_membered(A) => v2_membered(k3_xboole_0(B, A))) ) ).
fof(fc35_finseq_1, axiom, v4_finseq_1(k1_tarski(k1_xboole_0))).
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(fc35_membered, axiom,  (! [A, B] :  (v3_membered(A) => v3_membered(k3_xboole_0(A, B))) ) ).
fof(fc36_finseq_1, axiom,  (! [A, B] :  ( (v4_finseq_1(A) & v4_finseq_1(B))  => v4_finseq_1(k2_xboole_0(A, B))) ) ).
fof(fc36_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_finset_1(A))  => v5_finset_1(k10_xtuple_0(A))) ) ).
fof(fc36_membered, axiom,  (! [A, B] :  (v3_membered(A) => v3_membered(k3_xboole_0(B, A))) ) ).
fof(fc37_finseq_1, axiom,  (! [A] : v4_finseq_1(k13_finseq_1(A))) ).
fof(fc37_membered, axiom,  (! [A, B] :  (v4_membered(A) => v4_membered(k3_xboole_0(A, B))) ) ).
fof(fc38_finseq_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, B) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(C, D)) &  (v1_funct_1(k7_finseq_1(C, D)) &  (v3_card_1(k7_finseq_1(C, D), k2_xcmplx_0(A, B)) & v1_finseq_1(k7_finseq_1(C, D))) ) ) ) ) ).
fof(fc38_membered, axiom,  (! [A, B] :  (v4_membered(A) => v4_membered(k3_xboole_0(B, A))) ) ).
fof(fc39_finseq_1, axiom,  (! [A, B, C] :  ( (v4_finseq_1(A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) ) )  => v1_finseq_1(k1_funct_1(B, C))) ) ).
fof(fc39_membered, axiom,  (! [A, B] :  (v5_membered(A) => v5_membered(k3_xboole_0(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_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k1_finseq_1(A))) ) ).
fof(fc3_finseq_2, axiom,  (! [A, B] :  (v7_ordinal1(A) => v1_finseq_1(k2_funcop_1(k1_finseq_1(A), B))) ) ).
fof(fc3_finseq_6, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  & v7_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, k2_finseq_1(B))) & v1_finseq_1(k5_relat_1(A, k2_finseq_1(B)))) ) ) ).
fof(fc3_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k4_xboole_0(k3_finseq_2(A), k1_tarski(k1_xboole_0)))) ) ) ).
fof(fc3_funcop_1, axiom,  (! [A, B] :  (v1_xboole_0(B) => v1_xboole_0(k2_funcop_1(B, A))) ) ).
fof(fc3_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_int_1(k4_xcmplx_0(A))) ) ) ).
fof(fc3_membered, axiom, v3_membered(k1_numbers)).
fof(fc3_msafree1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  (v1_msafree1(B, A) & l3_msualg_1(B, A)) )  =>  (v1_relat_1(u3_msualg_1(A, B)) &  (v4_relat_1(u3_msualg_1(A, B), u1_struct_0(A)) &  (v1_funct_1(u3_msualg_1(A, B)) &  (v1_partfun1(u3_msualg_1(A, B), u1_struct_0(A)) & v1_prob_2(u3_msualg_1(A, B))) ) ) ) ) ) ).
fof(fc3_msafree3, axiom,  (! [A, B] :  ( ( ( ~ (v11_struct_0(A))  &  (v1_instalg1(A) & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (v3_msualg_1(k1_msafree3(A, B), A) &  (v2_msafree(k1_msafree3(A, B), A) & v1_msualg_6(k1_msafree3(A, B), A)) ) ) ) ).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc3_ramsey_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  & v1_finset_1(B))  =>  ~ (v1_finset_1(k4_xboole_0(A, B))) ) ) ).
fof(fc3_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => v1_relat_1(k2_xboole_0(A, B))) ) ).
fof(fc3_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k4_xboole_0(B, C), A)) ) ).
fof(fc3_trees_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v3_trees_2(B)) ) )  & m1_subset_1(C, k9_xtuple_0(B))) )  =>  (v1_relat_1(k5_trees_2(B, C)) &  (v5_relat_1(k5_trees_2(B, C), A) &  (v1_funct_1(k5_trees_2(B, C)) & v3_trees_2(k5_trees_2(B, C))) ) ) ) ) ).
fof(fc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  => v3_membered(k10_xtuple_0(A))) ) ).
fof(fc3_xboole_0, axiom,  (! [A, B] :  ~ (v1_xboole_0(k2_tarski(A, B))) ) ).
fof(fc3_zfmisc_1, axiom,  (! [A, B] :  (v1_xboole_0(A) => v1_xboole_0(k2_zfmisc_1(A, B))) ) ).
fof(fc40_membered, axiom,  (! [A, B] :  (v5_membered(A) => v5_membered(k3_xboole_0(B, A))) ) ).
fof(fc41_membered, axiom,  (! [A, B] :  (v6_membered(A) => v6_membered(k3_xboole_0(A, B))) ) ).
fof(fc42_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (v7_ordinal1(C) &  (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) &  (v3_card_1(D, k2_xcmplx_0(B, C)) & v1_finseq_1(D)) ) ) ) ) ) )  => v1_xboole_0(k4_xboole_0(k1_tarski(k1_funct_1(D, B)), A))) ) ).
fof(fc42_membered, axiom,  (! [A, B] :  (v6_membered(A) => v6_membered(k3_xboole_0(B, A))) ) ).
fof(fc43_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, k2_xcmplx_0(k2_xcmplx_0(B, 1), C)) & m1_subset_1(D, k3_finseq_2(A))) ) ) )  => v1_xboole_0(k4_xboole_0(k1_tarski(k1_funct_1(D, k2_xcmplx_0(B, 1))), A))) ) ).
fof(fc43_membered, axiom,  (! [A, B] :  (v1_membered(A) => v1_membered(k4_xboole_0(A, B))) ) ).
fof(fc43_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc44_membered, axiom,  (! [A, B] :  (v2_membered(A) => v2_membered(k4_xboole_0(A, B))) ) ).
fof(fc44_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc45_membered, axiom,  (! [A, B] :  (v3_membered(A) => v3_membered(k4_xboole_0(A, B))) ) ).
fof(fc45_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc46_fomodel0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, k2_xcmplx_0(A, B)) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k5_relat_1(C, k2_finseq_1(A))) &  (v1_funct_1(k5_relat_1(C, k2_finseq_1(A))) &  (v3_card_1(k5_relat_1(C, k2_finseq_1(A)), A) & v1_finseq_1(k5_relat_1(C, k2_finseq_1(A)))) ) ) ) ) ).
fof(fc46_membered, axiom,  (! [A, B] :  (v4_membered(A) => v4_membered(k4_xboole_0(A, B))) ) ).
fof(fc46_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v4_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc47_fomodel0, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_partfun1(C, A)) ) )  =>  (v1_relat_1(k5_relat_1(C, B)) &  (v4_relat_1(k5_relat_1(C, B), B) & v1_partfun1(k5_relat_1(C, B), B)) ) ) ) ).
fof(fc47_membered, axiom,  (! [A, B] :  (v5_membered(A) => v5_membered(k4_xboole_0(A, B))) ) ).
fof(fc47_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v5_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc48_membered, axiom,  (! [A, B] :  (v6_membered(A) => v6_membered(k4_xboole_0(A, B))) ) ).
fof(fc48_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v6_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc4_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v8_ordinal1(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc4_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_card_1(k1_finseq_1(A), A)) ) ).
fof(fc4_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k5_relat_1(A, k1_tarski(B))) &  (v1_funct_1(k5_relat_1(A, k1_tarski(B))) & v2_funct_1(k5_relat_1(A, k1_tarski(B)))) ) ) ) ).
fof(fc4_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  ~ (v1_xboole_0(k2_funcop_1(B, A))) ) ) ).
fof(fc4_funct_7, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_funcop_1(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_funcop_1(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc4_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k6_xcmplx_0(A, B))) ) ).
fof(fc4_membered, axiom, v4_membered(k3_numbers)).
fof(fc4_msafree, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) )  =>  ~ (v1_xboole_0(k3_card_3(B))) ) ) ).
fof(fc4_msafree5, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v6_trees_3(A)) ) )  => v1_relat_1(k1_funct_1(A, B))) ) ).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc4_ordinal6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) )  => v1_ordinal6(k10_xtuple_0(A))) ) ).
fof(fc4_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  &  (v1_relat_1(C) & v5_relat_1(C, A)) )  => v5_relat_1(k2_xboole_0(B, C), A)) ) ).
fof(fc4_trees_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  => v3_trees_2(k2_funcop_1(A, B))) ) ).
fof(fc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  => v4_membered(k10_xtuple_0(A))) ) ).
fof(fc4_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(A, B))) ) ) ).
fof(fc4_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k6_xcmplx_0(A, B))) ) ).
fof(fc4_xtuple_0, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
fof(fc4_zfmisc_1, axiom,  (! [A, B] :  ( (v1_zfmisc_1(A) & v1_zfmisc_1(B))  => v1_zfmisc_1(k2_zfmisc_1(A, B))) ) ).
fof(fc51_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(B, A))) ) ).
fof(fc52_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k4_xboole_0(k1_tarski(A), k2_tarski(A, B)))) ).
fof(fc54_finseq_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, C)) &  (v5_relat_1(k7_finseq_1(B, C), A) &  (v1_funct_1(k7_finseq_1(B, C)) & v1_finseq_1(k7_finseq_1(B, C))) ) ) ) ) ).
fof(fc55_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v6_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v6_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v6_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc55_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k13_fomodel0(B, A))) ) ).
fof(fc55_membered, axiom, v7_membered(k2_numbers)).
fof(fc55_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v1_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc56_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v5_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc56_fomodel0, axiom,  (! [A, B] :  (v1_funct_1(A) => v1_funct_1(k13_fomodel0(B, A))) ) ).
fof(fc56_membered, axiom, v7_membered(k1_numbers)).
fof(fc56_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v2_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc57_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v4_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v4_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v4_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc57_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_finseq_1(A))  =>  (v1_relat_1(k13_fomodel0(B, A)) & v1_finseq_1(k13_fomodel0(B, A))) ) ) ).
fof(fc57_membered, axiom, v7_membered(k3_numbers)).
fof(fc57_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v3_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v3_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc58_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v3_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc58_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k13_fomodel0(B, A)) &  (v1_funct_1(k13_fomodel0(B, A)) &  (v3_card_1(k13_fomodel0(B, A), k3_finseq_1(A)) & v1_finseq_1(k13_fomodel0(B, A))) ) ) ) ) ).
fof(fc58_membered, axiom, v7_membered(k4_numbers)).
fof(fc58_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v4_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v4_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc59_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc59_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) )  =>  ~ (v8_ordinal1(k1_card_1(A))) ) ) ).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc59_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v5_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v5_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc5_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v2_setfam_1(k1_tarski(A))) ) ).
fof(fc5_funcop_1, axiom,  (! [A] : v3_relat_1(k2_funcop_1(A, k1_xboole_0))) ).
fof(fc5_membered, axiom, v5_membered(k4_numbers)).
fof(fc5_msafree5, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v6_trees_3(A)) ) )  => v4_finseq_1(k9_xtuple_0(k1_funct_1(A, B)))) ) ).
fof(fc5_relat_1, axiom,  (! [A, B] : v1_relat_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc5_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  => v5_membered(k10_xtuple_0(A))) ) ).
fof(fc5_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(B, A))) ) ) ).
fof(fc5_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k7_xcmplx_0(A, B))) ) ).
fof(fc5_xtuple_0, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A))) ) ).
fof(fc60_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v2_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc60_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(A) =>  (v1_relat_1(k5_relat_1(A, B)) & v4_relat_1(k5_relat_1(A, B), B)) ) ) ).
fof(fc60_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v6_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v6_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc61_fomodel0, axiom,  (! [A, B] :  (v1_xboole_0(B) => v1_xboole_0(k13_fomodel0(A, B))) ) ).
fof(fc61_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => v1_xcmplx_0(k1_funct_1(A, B))) ) ).
fof(fc62_fomodel0, axiom,  (! [A, B] :  (v1_xboole_0(B) =>  (v1_relat_1(k13_fomodel0(A, B)) & v5_relat_1(k13_fomodel0(A, B), A)) ) ) ).
fof(fc62_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  => v1_xxreal_0(k1_funct_1(A, B))) ) ).
fof(fc63_fomodel0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k13_fomodel0(B, C)) & v4_relat_1(k13_fomodel0(B, C), k2_finseq_1(k2_xcmplx_0(A, B)))) ) ) ).
fof(fc63_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  => v1_xreal_0(k1_funct_1(A, B))) ) ).
fof(fc64_fomodel0, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, B) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(C, D)) &  (v1_funct_1(k7_finseq_1(C, D)) &  (v3_card_1(k7_finseq_1(C, D), k2_xcmplx_0(A, B)) & v1_finseq_1(k7_finseq_1(C, D))) ) ) ) ) ).
fof(fc64_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  => v1_rat_1(k1_funct_1(A, B))) ) ).
fof(fc65_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_valued_0(A)) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc66_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) ) )  => v1_xboole_0(k4_xboole_0(k1_tarski(k1_funct_1(B, 1)), A))) ) ).
fof(fc66_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) )  => v7_ordinal1(k1_funct_1(A, B))) ) ).
fof(fc67_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_partfun1(C, A)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) & v1_partfun1(D, B)) ) ) )  =>  (v1_relat_1(k3_relat_1(C, D)) &  (v4_relat_1(k3_relat_1(C, D), A) & v1_partfun1(k3_relat_1(C, D), A)) ) ) ) ).
fof(fc67_valued_0, axiom,  (! [A, B] :  (v1_xcmplx_0(B) => v1_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc68_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) =>  (v1_relat_1(k13_fomodel0(A, B)) & v5_relat_1(k13_fomodel0(A, B), k2_xboole_0(A, k10_xtuple_0(B)))) ) ) ).
fof(fc68_valued_0, axiom,  (! [A, B] :  (v1_xxreal_0(B) => v2_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc69_fomodel0, axiom,  (! [A, B] :  ( (v4_funct_1(A) & v4_funct_1(B))  => v4_funct_1(k2_xboole_0(A, B))) ) ).
fof(fc69_valued_0, axiom,  (! [A, B] :  (v1_xreal_0(B) => v3_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_finseq_2, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (v1_relat_1(k6_finseq_2(A, B)) &  (v2_relat_1(k6_finseq_2(A, B)) &  (v4_relat_1(k6_finseq_2(A, B), k3_finseq_2(A)) &  (v1_funct_1(k6_finseq_2(A, B)) & v1_partfun1(k6_finseq_2(A, B), k3_finseq_2(A))) ) ) ) ) ) ).
fof(fc6_int_1, axiom, v2_int_1(k4_xcmplx_0(1))).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(fc6_msualg_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v4_msualg_1(B, A) & l3_msualg_1(B, A)) )  =>  (v3_msualg_1(g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B)), A) & v4_msualg_1(g3_msualg_1(A, u3_msualg_1(A, B), u4_msualg_1(A, B)), A)) ) ) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(fc6_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k4_xboole_0(B, C), A)) ) ).
fof(fc6_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc6_trees_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v4_trees_3(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v4_trees_3(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_finseq_1(k7_finseq_1(A, B)) & v4_trees_3(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  => v6_membered(k10_xtuple_0(A))) ) ).
fof(fc6_xcmplx_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  =>  ( ~ (v8_ordinal1(k4_xcmplx_0(A)))  & v1_xcmplx_0(k4_xcmplx_0(A))) ) ) ).
fof(fc70_valued_0, axiom,  (! [A, B] :  (v1_rat_1(B) => v4_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc71_valued_0, axiom,  (! [A, B] :  (v1_int_1(B) => v5_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc72_valued_0, axiom,  (! [A, B] :  (v7_ordinal1(B) => v6_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc73_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc74_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v2_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc75_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v3_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc76_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v4_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v4_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc77_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v5_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v5_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc78_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v6_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v6_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v2_card_3(k1_tarski(A))) ) ).
fof(fc7_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_funct_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc7_membered, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_membered(k1_tarski(A))) ) ).
fof(fc7_msafree5, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v6_trees_3(A)) ) )  => v4_finseq_1(k8_relat_1(k1_funct_1(A, B), C))) ) ).
fof(fc7_relat_1, axiom,  (! [A, B, C, D] : v1_relat_1(k2_tarski(k4_tarski(A, B), k4_tarski(C, D)))) ).
fof(fc7_struct_0, axiom,  (! [A] :  ( (v7_struct_0(A) & l1_struct_0(A))  => v1_zfmisc_1(u1_struct_0(A))) ) ).
fof(fc7_trees_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v5_trees_3(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v5_trees_3(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_finseq_1(k7_finseq_1(A, B)) & v5_trees_3(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc7_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_valued_0(A))  &  (v1_relat_1(B) & v1_valued_0(B)) )  => v1_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc80_fomodel0, axiom,  (! [A] : v1_setfam_1(k4_xboole_0(A, k1_tarski(k1_xboole_0)))) ).
fof(fc81_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_finset_1(k13_finseq_1(A))) ) ) ).
fof(fc82_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_setfam_1(k13_finseq_1(A))) ) ) ).
fof(fc85_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) =>  (v1_relat_1(k13_fomodel0(A, B)) & v4_relat_1(k13_fomodel0(A, B), k2_xboole_0(A, k9_xtuple_0(B)))) ) ) ).
fof(fc85_valued_0, axiom,  (! [A, B] :  (v1_membered(B) => v1_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc86_valued_0, axiom,  (! [A, B] :  (v2_membered(B) => v2_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc87_valued_0, axiom,  (! [A, B] :  (v3_membered(B) => v3_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc88_valued_0, axiom,  (! [A, B] :  (v4_membered(B) => v4_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc89_fomodel0, axiom, v1_xboole_0(k4_xboole_0(k4_ordinal1, k4_numbers))).
fof(fc89_valued_0, axiom,  (! [A, B] :  (v5_membered(B) => v5_valued_0(k2_zfmisc_1(A, B))) ) ).
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_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_funct_1(k5_relat_1(A, B))) ) ) ).
fof(fc8_int_1, axiom,  (! [A, B] :  ( (v2_int_1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc8_membered, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_membered(k1_tarski(A))) ) ).
fof(fc8_msafree4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_finseq_1(C, A))  =>  (v1_relat_1(k3_relat_1(C, B)) & v4_relat_1(k3_relat_1(C, B), k4_finseq_1(C))) ) ) ).
fof(fc8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) &  (v4_relat_1(k3_relat_1(A, C), k4_ordinal1) &  (v5_relat_1(k3_relat_1(A, C), B) & v1_funct_1(k3_relat_1(A, C))) ) ) ) ) ).
fof(fc8_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k9_xtuple_0(A))) ) ) ).
fof(fc8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))) => v1_relat_1(k9_xtuple_0(D))) ) ).
fof(fc8_struct_0, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  => v1_finset_1(u1_struct_0(A))) ) ).
fof(fc8_trees_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v6_trees_3(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_finseq_1(B) & v6_trees_3(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_finseq_1(k7_finseq_1(A, B)) & v6_trees_3(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc8_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v2_valued_0(A))  &  (v1_relat_1(B) & v2_valued_0(B)) )  => v2_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc90_valued_0, axiom,  (! [A, B] :  (v6_membered(B) => v6_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc91_fomodel0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v8_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k13_fomodel0(B, C)) &  (v4_relat_1(k13_fomodel0(B, C), k2_finseq_1(k2_xcmplx_0(A, B))) & v1_partfun1(k13_fomodel0(B, C), k2_finseq_1(k2_xcmplx_0(A, B)))) ) ) ) ).
fof(fc91_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v7_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v7_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc92_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v9_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v9_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc93_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v8_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v7_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc94_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v10_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v9_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc95_fomodel0, axiom,  (! [A, B] :  ( (v4_card_3(A) & v4_card_3(B))  => v4_card_3(k2_xboole_0(A, B))) ) ).
fof(fc95_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v7_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v8_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc96_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v7_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v8_valued_0(k3_relat_1(B, A))) ) ) ).
fof(fc97_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v9_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v10_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc98_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v9_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v10_valued_0(k3_relat_1(B, A))) ) ) ).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_xboole_0(A, B))) ) ).
fof(fc9_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & v1_xboole_0(C)) )  => v2_fomodel0(k3_xboole_0(C, B), A, B)) ) ).
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_membered, axiom,  (! [A] :  (v1_xreal_0(A) => v3_membered(k1_tarski(A))) ) ).
fof(fc9_msafree4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_finseq_1(C, A))  =>  (v1_relat_1(k3_relat_1(C, B)) &  (v4_relat_1(k3_relat_1(C, B), k4_finseq_1(C)) & v1_partfun1(k3_relat_1(C, B), k4_finseq_1(C))) ) ) ) ).
fof(fc9_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v4_finseq_1(k1_tarski(A))) ) ).
fof(fc9_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) & v1_partfun1(k3_relat_1(A, C), k4_ordinal1)) ) ) ).
fof(fc9_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k10_xtuple_0(A))) ) ) ).
fof(fc9_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) => v1_relat_1(k10_xtuple_0(D))) ) ).
fof(fc9_struct_0, axiom,  (! [A] :  ( ( ~ (v8_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_finset_1(u1_struct_0(A))) ) ) ).
fof(fc9_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v3_valued_0(A))  &  (v1_relat_1(B) & v3_valued_0(B)) )  => v3_valued_0(k2_xboole_0(A, B))) ) ).
fof(fc9_xcmplx_0, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  &  ( ~ (v8_ordinal1(B))  & v1_xcmplx_0(B)) )  =>  ~ (v8_ordinal1(k7_xcmplx_0(A, B))) ) ) ).
fof(fraenkel_a_1_0_finseq_1, axiom,  (! [A, B] :  (v7_ordinal1(B) =>  (r2_hidden(A, a_1_0_finseq_1(B)) <=>  (? [C] :  (v7_ordinal1(C) &  (A=C &  (r1_xxreal_0(1, C) & r1_xxreal_0(C, B)) ) ) ) ) ) ) ).
fof(fraenkel_a_3_5_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(B))) ) ) )  & m1_subset_1(D, k3_card_3(u3_msualg_1(B, k1_msafree3(B, C))))) )  =>  (r2_hidden(A, a_3_5_msafree5(B, C, D)) <=>  (? [E] :  (m1_trees_1(E, k9_xtuple_0(D)) &  (A=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (? [G] :  (m1_msafree4(G, u1_struct_0(B), C, k1_msafree4(u1_struct_0(B), C, F)) & k1_funct_1(D, E)=k1_domain_1(k1_msafree4(u1_struct_0(B), C, F), u1_struct_0(B), G, F)) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_6_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(B))  &  ( ~ (v11_struct_0(B))  & l1_msualg_1(B)) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(B)) & v6_msafree5(C)) ) ) )  & m1_subset_1(D, k3_card_3(u3_msualg_1(B, k1_msafree3(B, C))))) )  =>  (r2_hidden(A, a_3_6_msafree5(B, C, D)) <=>  (? [E] :  (m1_trees_1(E, k9_xtuple_0(D)) &  (A=E &  (? [F] :  (m1_subset_1(F, u1_struct_0(B)) &  (? [G] :  (m1_msafree4(G, u1_struct_0(B), C, k1_msafree4(u1_struct_0(B), C, F)) & k1_funct_1(D, E)=k1_domain_1(k1_msafree4(u1_struct_0(B), C, F), u1_struct_0(B), G, F)) ) ) ) ) ) ) ) ) ) ).
fof(free_g3_msualg_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) )  & m2_pboole(C, u4_struct_0(A), k3_relat_1(u1_msualg_1(A), k6_finseq_2(u1_struct_0(A), B)), k3_relat_1(u2_msualg_1(A), B))) )  =>  (! [D, E, F] :  (g3_msualg_1(A, B, C)=g3_msualg_1(D, E, F) =>  (A=D &  (B=E & C=F) ) ) ) ) ) ).
fof(idempotence_k12_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, A)=A) ).
fof(idempotence_k1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(A, A)=A) ) ).
fof(idempotence_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, A)=A) ).
fof(idempotence_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, A)=A) ).
fof(idempotence_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, B)=B) ) ).
fof(ie10_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k2_xboole_0(A, B)=k13_fomodel0(B, A)) ) ).
fof(ie11_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k13_fomodel0(B, A)=k2_xboole_0(A, B)) ) ).
fof(ie13_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k7_finseq_1(A, B)=k13_fomodel0(B, A)) ) ).
fof(ie14_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k13_fomodel0(B, A)=k7_finseq_1(A, B)) ) ).
fof(ie15_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k7_finseq_1(B, A)=k13_fomodel0(B, A)) ) ).
fof(ie16_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k13_fomodel0(B, A)=k7_finseq_1(B, A)) ) ).
fof(ie17_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k5_relat_1(B, A)=k13_fomodel0(A, B)) ) ).
fof(ie18_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k13_fomodel0(A, B)=k5_relat_1(B, A)) ) ).
fof(ie19_fomodel0, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => k1_funct_4(B, C)=k13_fomodel0(B, C)) ) ).
fof(ie1_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => k3_finseq_2(A)=k1_tarski(A)) ) ).
fof(ie20_fomodel0, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => k13_fomodel0(B, C)=k1_funct_4(B, C)) ) ).
fof(ie21_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k1_funct_4(A, B)=k13_fomodel0(B, A)) ) ).
fof(ie22_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k13_fomodel0(B, A)=k1_funct_4(A, B)) ) ).
fof(ie23_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k1_funct_4(B, A)=k13_fomodel0(B, A)) ) ).
fof(ie24_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k13_fomodel0(B, A)=k1_funct_4(B, A)) ) ).
fof(ie25_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k24_fomodel0(A, B)=k5_relat_1(B, A)) ) ).
fof(ie26_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k5_relat_1(B, A)=k24_fomodel0(A, B)) ) ).
fof(ie27_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k25_fomodel0(A, B)=k5_relat_1(B, A)) ) ).
fof(ie28_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k5_relat_1(B, A)=k25_fomodel0(A, B)) ) ).
fof(ie29_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => k26_fomodel0(A, B)=k27_fomodel0(A, B)) ) ).
fof(ie2_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => k1_tarski(A)=k3_finseq_2(A)) ) ).
fof(ie30_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => k27_fomodel0(A, B)=k28_fomodel0(A, B)) ) ).
fof(ie31_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(A, B)=k26_fomodel0(A, B)) ) ).
fof(ie32_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k26_fomodel0(A, B)=k1_funct_4(A, B)) ) ).
fof(ie33_fomodel0, axiom,  (! [A, B] : k2_tarski(A, B)=k29_fomodel0(A, B)) ).
fof(ie34_fomodel0, axiom,  (! [A, B] : k29_fomodel0(A, B)=k2_tarski(A, B)) ).
fof(ie35_fomodel0, axiom,  (! [A, B] : k29_fomodel0(A, B)=k29_fomodel0(B, A)) ).
fof(ie3_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, B)=k12_fomodel0(B, A)) ).
fof(ie4_fomodel0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k12_fomodel0(A, B)) ).
fof(ie5_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k9_subset_1(A, A, B)=k13_fomodel0(A, B)) ) ).
fof(ie6_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k13_fomodel0(A, B)=k9_subset_1(A, A, B)) ) ).
fof(ie7_fomodel0, axiom,  (! [A, B] : k6_subset_1(A, B)=k14_fomodel0(A, B)) ).
fof(ie8_fomodel0, axiom,  (! [A, B] : k15_fomodel0(A, B)=k13_fomodel0(B, A)) ).
fof(ie9_fomodel0, axiom,  (! [A, B] : k13_fomodel0(B, A)=k15_fomodel0(A, B)) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(irreflexivity_r1_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (r1_subset_1(A, A)) ) ) ).
fof(irreflexivity_r2_xboole_0, axiom,  (! [A, B] :  ~ (r2_xboole_0(A, A)) ) ).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(projectivity_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(k3_finseq_1(A))=k3_finseq_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_fomodel0, axiom,  (? [A] :  (v4_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_zfmisc_1(A) &  (v5_finset_1(A) & v4_finseq_1(A)) ) ) ) ) ).
fof(rc10_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (l3_msualg_1(C, A) &  (v3_msualg_1(C, A) &  (v4_msualg_1(C, A) & v5_msafree4(C, A, B)) ) ) ) ) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_fomodel0, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_setfam_1(B)) ) ) ) ) ).
fof(rc12_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(rc12_fomodel0, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v5_card_3(B)) ) ) ) ).
fof(rc12_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (l3_msualg_1(C, A) &  (v3_msualg_1(C, A) &  (v5_msafree4(C, A, B) &  (v6_msafree4(C, A, B) &  (v7_msafree4(C, A, B) & v8_msafree4(C, A, B)) ) ) ) ) ) ) ) ).
fof(rc13_fomodel0, axiom,  (? [A] :  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xcmplx_0(A)) ) ) ) ) ).
fof(rc13_msafree4, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) ) ) ) ).
fof(rc14_abcmiz_1, axiom,  (! [A] :  (l1_msualg_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v13_abcmiz_1(B, 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(rc14_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_partit_2(A)) ) ) ) ).
fof(rc14_msafree4, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (l3_msualg_1(C, A) &  (v3_msualg_1(C, A) & v5_msafree4(C, A, B)) ) ) ) ) ).
fof(rc15_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc15_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v4_fomodel0(A)) ) ) ) ).
fof(rc16_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) &  (v6_valued_0(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc16_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ) ).
fof(rc16_msafree5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) & v15_msafree5(C, A, B)) ) ) ) ).
fof(rc17_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_finseq_1(C, u1_struct_0(A))) )  =>  (? [D] :  (m1_finseq_1(D, k3_card_3(B)) &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, k3_card_3(B)) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_finseq_1(D) &  (v2_finseq_1(D) &  (v4_card_3(D) & v17_msafree5(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc18_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v3_relat_2(A) & v2_abian(A)) ) ) ) ) ).
fof(rc18_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  & m1_finseq_1(C, u1_struct_0(A))) )  =>  (? [D] :  (m1_finseq_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_finseq_1(D) &  (v2_finseq_1(D) &  (v1_funcop_1(D) &  (v2_funcop_1(D) &  (v6_trees_3(D) &  (v4_card_3(D) & v18_msafree5(D, A, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc19_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) &  ~ (v2_abian(A)) ) ) ) ) ).
fof(rc19_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  (v17_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(B))) ) ) )  =>  (? [E] :  (m1_finseq_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  (v1_funct_1(E) &  (v1_finset_1(E) &  (v1_finseq_1(E) &  (v2_finseq_1(E) &  (v1_funcop_1(E) &  (v2_funcop_1(E) &  (v6_trees_3(E) &  (v4_card_3(E) & v19_msafree5(E, A, B, C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_catalg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & v1_msafree1(B, A)) ) ) ) ) ) ).
fof(rc1_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(rc1_finseq_2, axiom,  (! [A] :  (? [B] :  (m1_finseq_2(B, A) &  ~ (v1_xboole_0(B)) ) ) ) ).
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_instalg1, axiom,  (? [A] :  (l1_msualg_1(A) &  ( ~ (v2_struct_0(A))  &  ~ (v11_struct_0(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_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc1_msafree, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) &  (v4_msualg_1(B, A) & v2_msafree(B, A)) ) ) ) ) ) ).
fof(rc1_msafree1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_prob_2(B)) ) ) ) ) ) ).
fof(rc1_msafree4, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v2_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v6_trees_3(A) & v4_card_3(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_ordinal6, axiom,  (? [A] : v1_ordinal6(A)) ).
fof(rc1_pboole, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ).
fof(rc1_relat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_relat_1(A)) ) ).
fof(rc1_relset_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ) ) ).
fof(rc1_rewrite1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) & v10_rewrite1(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_trees_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_trees_3(A) & v2_trees_3(A)) ) ) ) ).
fof(rc1_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc1_xtuple_0, axiom,  (? [A] : v1_xtuple_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc1_xxreal_2, axiom,  (? [A] :  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v4_membered(A) &  (v5_membered(A) &  (v6_membered(A) &  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_2(A) & v2_xxreal_2(A)) ) ) ) ) ) ) ) ) ).
fof(rc1_zfmisc_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ).
fof(rc20_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) & v5_fomodel0(A)) ) ) ) ).
fof(rc20_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v6_msafree5(B)) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  ( (v17_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(B)))  &  (v18_msafree5(E, A, B, C) & m1_finseq_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) )  =>  (? [F] :  (m1_finseq_1(F, k3_card_3(B)) &  ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v4_relat_1(F, k4_ordinal1) &  (v5_relat_1(F, k3_card_3(B)) &  (v1_funct_1(F) &  (v2_funct_1(F) &  (v1_finset_1(F) &  (v1_finseq_1(F) &  (v2_finseq_1(F) &  (v4_card_3(F) &  (v17_msafree5(F, A, B, C) &  (v20_msafree5(F, A, B, C, D) & v22_msafree5(F, A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc21_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc22_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc23_struct_0, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (l1_struct_0(B) & v13_struct_0(B, A)) ) ) ) ).
fof(rc25_struct_0, axiom,  (? [A] :  (l5_struct_0(A) &  ~ (v15_struct_0(A)) ) ) ).
fof(rc2_catalg_1, axiom,  (? [A] :  (v1_relat_1(A) &  ( ~ (v3_relat_1(A))  & v1_funct_1(A)) ) ) ).
fof(rc2_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ).
fof(rc2_finseq_2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (m1_finseq_1(C, B) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) &  (v2_finseq_1(C) & v4_card_3(C)) ) ) ) ) ) ) ) ) ) ) ) ).
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_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc2_msafree1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (? [B] :  (l3_msualg_1(B, A) &  (v4_msualg_1(B, A) & v1_msafree1(B, A)) ) ) ) ) ).
fof(rc2_msafree4, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v2_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v4_trees_3(A) & v4_card_3(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_pboole, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v3_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, 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_trees_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v3_trees_3(A)) ) ) ).
fof(rc2_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v4_valued_0(A) &  (v5_valued_0(A) & v6_valued_0(A)) ) ) ) ) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_xxreal_2, axiom,  (? [A] :  (v6_membered(A) &  (v1_finset_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ).
fof(rc2_zfmisc_1, axiom,  (? [A] :  ~ (v1_zfmisc_1(A)) ) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_card_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v4_funct_1(A) & v2_card_3(A)) ) ) ).
fof(rc3_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_xboole_0(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ) ) ).
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_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  (? [C] : v2_fomodel0(C, A, B)) ) ) ).
fof(rc3_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v3_funct_1(C) &  (v1_partfun1(C, A) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(A)) ) ) ).
fof(rc3_msafree4, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_msafree4(B, A)) ) ) ) ) ) ) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_pboole, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ).
fof(rc3_relat_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, A)) ) ) ) ).
fof(rc3_valued_0, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v4_valued_0(A) &  (v5_valued_0(A) &  (v6_valued_0(A) & v7_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_xcmplx_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xcmplx_0(A)) ) ).
fof(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
fof(rc3_xxreal_2, axiom,  (? [A] :  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v4_membered(A) &  (v5_membered(A) &  (v6_membered(A) &  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_2(A) & v5_xxreal_2(A)) ) ) ) ) ) ) ) ) ).
fof(rc4_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(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_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] : v3_fomodel0(B, A)) ) ) ).
fof(rc4_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, 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_msafree4, axiom,  (! [A] :  (v4_card_3(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v2_funct_1(B) & v1_funct_2(B, A, k4_ordinal1)) ) ) ) ) ) ) ) ) ).
fof(rc4_msafree5, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v6_msafree5(B)) ) ) ) ) ) ).
fof(rc4_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  & v3_ordinal1(A)) ) ) ).
fof(rc4_pboole, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funcop_1(B)) ) ) ) ) ) ).
fof(rc4_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
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_trees_3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_trees_3(B, A) &  (v4_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) & v3_trees_3(B)) ) ) ) ) ) ) ).
fof(rc4_valued_0, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v3_funct_1(B) & v1_funct_2(B, k4_ordinal1, A)) ) ) ) ) ) ) ) ).
fof(rc4_xcmplx_0, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ).
fof(rc4_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc4_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  ( ~ (v1_xboole_0(A))  & v6_xxreal_2(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_funcop_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(rc5_msafree5, axiom,  (? [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) &  (v4_card_3(A) & v6_msafree5(A)) ) ) ) ) ) ) ) ).
fof(rc5_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (? [B] :  (l3_msualg_1(B, A) & v3_msualg_1(B, 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_trees_2, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) ) ) ).
fof(rc5_trees_3, 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) &  (v4_trees_3(A) & v5_trees_3(A)) ) ) ) ) ) ) ) ) ).
fof(rc5_valued_0, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, k4_ordinal1) & v1_funct_2(B, k4_ordinal1, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_xcmplx_0, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ).
fof(rc5_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
fof(rc5_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  (v1_xxreal_2(A) &  (v2_xxreal_2(A) & v6_xxreal_2(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_finset_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ).
fof(rc6_funct_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_funct_1(C)) ) ) ) ) ).
fof(rc6_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  (v4_msualg_1(C, A) & l3_msualg_1(C, A)) ) )  =>  (? [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, C))) & v7_msafree5(D, A, B, C)) ) ) ) ).
fof(rc6_msualg_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_msualg_1(A))  =>  (? [B] :  (l3_msualg_1(B, A) &  (v3_msualg_1(B, A) & v4_msualg_1(B, 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(rc6_trees_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v3_trees_2(B)) ) ) ) ) ) ).
fof(rc6_trees_3, 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) & v6_trees_3(A)) ) ) ) ) ) ) ) ).
fof(rc6_valued_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v6_valued_0(B)) ) ) ) ) ) ).
fof(rc6_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  ( ~ (v1_xxreal_2(A))  &  (v2_xxreal_2(A) & v6_xxreal_2(A)) ) ) ) ).
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_finset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ) ) ).
fof(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(A)) ) ).
fof(rc7_msafree5, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  ( ~ (v1_xtuple_0(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_trees_2(C) &  (v4_card_3(C) & v5_abcmiz_1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_pboole, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, B) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, B)) ) ) ) ) ) ) ).
fof(rc7_trees_2, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v3_trees_2(A)) ) ) ) ).
fof(rc7_trees_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v4_trees_3(A) & v5_trees_3(A)) ) ) ) ) ).
fof(rc7_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  (v1_xxreal_2(A) &  ( ~ (v2_xxreal_2(A))  & v6_xxreal_2(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_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ).
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_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C))) ) )  =>  (? [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  ( ~ (v1_xtuple_0(E))  &  (v1_funct_1(E) &  (v1_finset_1(E) &  (v3_trees_2(E) &  (v4_card_3(E) &  ( ~ (v5_abcmiz_1(E, A, B))  & v8_msafree5(E, A, B, k1_msafree3(A, B), C, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_trees_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_trees_2(B)) ) ) ) ) ) ) ).
fof(rc8_trees_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v6_trees_3(A)) ) ) ) ).
fof(rc8_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xxreal_2(A))  &  ( ~ (v2_xxreal_2(A))  & v6_xxreal_2(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_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc9_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(A)) ) ) ).
fof(rc9_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, 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_msafree5, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) & v5_msafree5(C)) ) ) )  & m1_subset_1(D, k1_msafree4(u1_struct_0(A), C, B))) ) )  =>  (? [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) &  ( ~ (v1_xboole_0(E))  &  (v1_relat_1(E) &  ( ~ (v1_xtuple_0(E))  &  (v1_funct_1(E) &  (v1_finset_1(E) &  (v3_trees_2(E) &  (v4_card_3(E) & v9_msafree5(E, A, C, k1_msafree3(A, C), B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_trees_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  ~ (v1_xboole_0(C)) ) ) ) ) ) ).
fof(rd10_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  (m1_subset_1(C, u1_struct_0(A)) &  (m1_subset_1(D, k1_msafree4(u1_struct_0(A), B, C)) &  (v8_msafree5(E, A, B, k1_msafree3(A, B), C, D) & m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) )  => k18_msafree5(A, B, C, D, E, k6_msafree5(A, B, C, D))=E) ) ).
fof(rd12_msafree5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  => k10_subset_1(1, k4_finseq_1(A))=1) ) ).
fof(rd13_msafree5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  => k10_subset_1(k3_finseq_1(A), k4_finseq_1(A))=k3_finseq_1(A)) ) ).
fof(rd1_card_1, axiom,  (! [A] :  (v1_card_1(A) => k1_card_1(A)=A) ) ).
fof(rd1_fomodel0, axiom,  (! [A, B] : k13_fomodel0(B, A)=A) ).
fof(rd1_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => k1_funct_1(k2_funcop_1(A, B), C)=B) ) ).
fof(rd1_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k7_finseq_1(A, k1_xboole_0)=A) ) ).
fof(rd1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) => k10_subset_1(A, k4_ordinal1)=A) ) ).
fof(rd1_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k10_subset_1(B, A)=B) ) ).
fof(rd1_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k10_subset_1(A, k2_numbers)=A) ) ).
fof(rd1_xtuple_0, axiom,  (! [A, B] : k1_xtuple_0(k4_tarski(A, B))=A) ).
fof(rd1_xxreal_0, axiom,  (! [A] :  (v1_xxreal_0(A) => k10_subset_1(A, k6_numbers)=A) ) ).
fof(rd2_funcop_1, axiom,  (! [A, B] : k9_xtuple_0(k2_funcop_1(A, B))=A) ).
fof(rd2_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k7_finseq_1(k1_xboole_0, A)=A) ) ).
fof(rd2_subset_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) & m1_subset_1(D, B)) ) )  => k10_subset_1(k4_tarski(C, D), k2_zfmisc_1(A, B))=k4_tarski(C, D)) ) ).
fof(rd2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k10_subset_1(k4_tarski(A, B), k2_zfmisc_1(k2_numbers, k2_numbers))=k4_tarski(A, B)) ) ).
fof(rd2_xtuple_0, axiom,  (! [A, B] : k2_xtuple_0(k4_tarski(A, B))=B) ).
fof(rd2_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => k10_subset_1(k4_tarski(A, B), k2_zfmisc_1(k6_numbers, k6_numbers))=k4_tarski(A, B)) ) ).
fof(rd3_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k9_xtuple_0(k2_zfmisc_1(A, B))=A) ) ).
fof(rd3_xtuple_0, axiom,  (! [A] :  (v1_xtuple_0(A) => k4_tarski(k1_xtuple_0(A), k2_xtuple_0(A))=A) ) ).
fof(rd4_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k10_xtuple_0(k2_zfmisc_1(B, A))=A) ) ).
fof(rd4_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k5_relat_1(A, k9_xtuple_0(A))=A) ) ).
fof(rd5_fomodel0, axiom,  (! [A, B] : k2_xboole_0(k6_subset_1(A, B), k3_xboole_0(A, B))=A) ).
fof(rd5_int_1, axiom,  (! [A] :  (v1_int_1(A) => k10_subset_1(A, k4_numbers)=A) ) ).
fof(rd5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => k5_relat_1(k5_relat_1(A, B), B)=k5_relat_1(A, B)) ) ).
fof(rd6_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A))))  => k1_relset_1(B, k5_relat_1(A, B))=B) ) ).
fof(rd6_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k10_subset_1(k4_tarski(A, B), k2_zfmisc_1(k4_numbers, k4_numbers))=k4_tarski(A, B)) ) ).
fof(rd7_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_partit_2(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => k1_funct_1(A, k1_funct_1(A, B))=B) ) ).
fof(rd8_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k5_relat_1(B, A)=B) ) ).
fof(redefinition_k12_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, B)=k3_xboole_0(A, B)) ).
fof(redefinition_k1_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) & m1_subset_1(D, B)) ) )  => k1_domain_1(A, B, C, D)=k4_tarski(C, D)) ) ).
fof(redefinition_k1_msafree4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  & m1_subset_1(C, A))  => k1_msafree4(A, B, C)=k1_funct_1(B, C)) ) ).
fof(redefinition_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(redefinition_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k1_relset_1(A, B)=k9_xtuple_0(B)) ) ).
fof(redefinition_k25_msafree5, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( ( ~ (v1_xboole_0(B))  & m1_finseq_1(B, u1_struct_0(A)))  & m1_subset_1(C, k4_finseq_1(B))) )  => k25_msafree5(A, B, C)=k1_funct_1(B, C)) ) ).
fof(redefinition_k26_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  ( (v17_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(B)))  & m1_subset_1(E, k4_finseq_1(C))) ) ) )  => k26_msafree5(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(redefinition_k27_msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  ( (v18_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  & m1_subset_1(E, k4_finseq_1(C))) ) ) )  => k27_msafree5(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(redefinition_k28_msafree5, axiom,  (! [A, B, C, D, E, F] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_finseq_1(C, u1_struct_0(A)))  &  ( (v17_msafree5(D, A, B, C) & m1_finseq_1(D, k3_card_3(B)))  &  ( (v19_msafree5(E, A, B, C, D) & m1_finseq_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  & m1_subset_1(F, k4_finseq_1(C))) ) ) ) )  => k28_msafree5(A, B, C, D, E, F)=k1_funct_1(E, F)) ) ).
fof(redefinition_k2_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k2_zfmisc_1(A, B))) )  => k2_domain_1(A, B, C)=k1_xtuple_0(C)) ) ).
fof(redefinition_k2_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_finseq_1(A)=k1_finseq_1(A)) ) ).
fof(redefinition_k2_trees_4, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k2_trees_4(A, B)=k1_trees_4(B)) ) ).
fof(redefinition_k3_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, k2_zfmisc_1(A, B))) )  => k3_domain_1(A, B, C)=k2_xtuple_0(C)) ) ).
fof(redefinition_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(A)=k1_card_1(A)) ) ).
fof(redefinition_k3_finseq_2, axiom,  (! [A] : k3_finseq_2(A)=k13_finseq_1(A)) ).
fof(redefinition_k4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k4_finseq_1(A)=k9_xtuple_0(A)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k6_domain_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k6_domain_1(A, B)=k1_tarski(B)) ) ).
fof(redefinition_k6_subset_1, axiom,  (! [A, B] : k6_subset_1(A, B)=k4_xboole_0(A, B)) ).
fof(redefinition_k7_funcop_1, axiom,  (! [A, B] : k7_funcop_1(A, B)=k2_funcop_1(A, B)) ).
fof(redefinition_k8_finseq_1, axiom,  (! [A, B, C] :  ( (m1_finseq_1(B, A) & m1_finseq_1(C, A))  => k8_finseq_1(A, B, C)=k7_finseq_1(B, C)) ) ).
fof(redefinition_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(redefinition_m1_msafree4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  & m1_subset_1(C, k10_xtuple_0(B)))  =>  (! [D] :  (m1_msafree4(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(redefinition_m1_trees_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  (m1_trees_1(B, A) <=> m1_subset_1(B, A)) ) ) ) ).
fof(redefinition_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) <=> m1_finseq_1(B, A)) ) ) ).
fof(redefinition_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(redefinition_r1_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r1_relset_1(A, B, C, D) <=> r1_tarski(C, D)) ) ) ).
fof(redefinition_r1_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (r1_subset_1(A, B) <=> r1_xboole_0(A, B)) ) ) ).
fof(redefinition_r2_relset_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r2_relset_1(A, B, C, D) <=> C=D) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => r1_relset_1(A, B, C, C)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(reflexivity_r2_relset_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => r2_relset_1(A, B, C, C)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_r0, axiom, r1_xxreal_0(0, 0)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom, r1_xxreal_0(0, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom, r1_xxreal_0(0, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm2, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d2, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rnm1d2, axiom,  ~ (r1_xxreal_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ (r1_xxreal_0(1, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm2, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d2, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ (r1_xxreal_0(2, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ (r1_xxreal_0(2, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm1, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rn1d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(1, 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rnm1d2, axiom,  ~ (r1_xxreal_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r0, axiom, r1_xxreal_0(k4_xcmplx_0(1), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r1, axiom, r1_xxreal_0(k4_xcmplx_0(1), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r2, axiom, r1_xxreal_0(k4_xcmplx_0(1), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d2, axiom, r1_xxreal_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r0, axiom, r1_xxreal_0(k4_xcmplx_0(2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r1, axiom, r1_xxreal_0(k4_xcmplx_0(2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r2, axiom, r1_xxreal_0(k4_xcmplx_0(2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rn1d2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rm2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d2, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r0, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_r2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d2, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom, k2_xcmplx_0(0, 2)=2).
fof(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom, k2_xcmplx_0(0, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom, k2_xcmplx_0(0, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2, axiom, k2_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(1, k4_xcmplx_0(1))=0).
fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom, k2_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2, axiom, k2_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(1))=1).
fof(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom, k2_xcmplx_0(2, k4_xcmplx_0(2))=0).
fof(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 1)=0).
fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 2)=1).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r0_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 2)=0).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), 0)=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=1).
fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r0_rnm1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, k6_xcmplx_0(0, k4_xcmplx_0(2))=2).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 0)=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2, axiom, k7_xcmplx_0(1, 2)=k7_xcmplx_0(1, 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1, axiom, k7_xcmplx_0(1, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2, axiom, k7_xcmplx_0(1, k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 2))=2).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(2)).
fof(rqRealDiv__k7_xcmplx_0__r2_r1_r2, axiom, k7_xcmplx_0(2, 1)=2).
fof(rqRealDiv__k7_xcmplx_0__r2_r2_r1, axiom, k7_xcmplx_0(2, 2)=1).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 2)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(2), 2)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(s6_msafree5__e11_264__msafree5, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v6_msafree5(B)) ) ) )  &  (m1_msualg_6(C, A, k1_msafree3(A, B)) &  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, u1_struct_0(A)))  &  (v17_msafree5(E, A, B, D) & m2_finseq_1(E, k3_card_3(B))) ) ) ) )  =>  (? [F] :  ( ( ~ (v1_xboole_0(F))  &  (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) ) )  &  (k4_finseq_1(F)=k4_finseq_1(D) &  (! [G] :  (m2_subset_1(G, k4_ordinal1, k4_finseq_1(D)) => k1_funct_1(F, G)=k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), C, k6_msafree5(A, B, k25_msafree5(A, D, G), k26_msafree5(A, B, D, E, G)))) ) ) ) ) ) ) ).
fof(s8_msafree5__e18_264__msafree5, axiom,  (! [A, B, C, D, E, F, G] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v6_msafree5(B)) ) ) )  &  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, u1_struct_0(A)))  &  ( (v2_funct_1(E) & m2_finseq_1(E, k9_xtuple_0(C)))  &  ( (v17_msafree5(F, A, B, D) & m2_finseq_1(F, k3_card_3(B)))  &  (v18_msafree5(G, A, B, D) & m2_finseq_1(G, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) ) ) )  =>  (? [H] :  ( ( ~ (v1_xboole_0(H))  &  (v1_relat_1(H) &  (v1_funct_1(H) &  (v1_finseq_1(H) & v6_trees_3(H)) ) ) )  &  (k4_finseq_1(H)=k4_finseq_1(D) &  (k1_funct_1(H, 1)=k7_trees_2(C, k7_partfun1(k9_xtuple_0(C), E, 1), k1_trees_4(k4_tarski(k1_funct_1(o_5_5_msafree5(A, B, D, F, G), 1), k1_funct_1(D, 1)))) &  (! [I] :  (m2_subset_1(I, k4_ordinal1, k4_finseq_1(D)) =>  (! [J] :  (m2_subset_1(J, k4_ordinal1, k4_finseq_1(D)) =>  (J=k2_xcmplx_0(I, 1) =>  (! [K] :  ( (v1_relat_1(K) &  (v1_funct_1(K) & v3_trees_2(K)) )  =>  (K=k1_funct_1(H, I) => k1_funct_1(H, J)=k7_trees_2(k7_trees_2(K, k7_partfun1(k9_xtuple_0(C), E, I), k27_msafree5(A, B, D, G, I)), k7_partfun1(k9_xtuple_0(C), E, k2_xcmplx_0(I, 1)), k1_trees_4(k4_tarski(k1_funct_1(o_5_5_msafree5(A, B, D, F, G), k2_xcmplx_0(I, 1)), k1_funct_1(D, k2_xcmplx_0(I, 1)))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s8_nat_1__e24_264__msafree5, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v6_msafree5(B)) ) ) )  &  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, u1_struct_0(A)))  &  ( (v2_funct_1(E) & m2_finseq_1(E, k9_xtuple_0(C)))  &  ( (v17_msafree5(F, A, B, D) & m2_finseq_1(F, k3_card_3(B)))  &  ( (v18_msafree5(G, A, B, D) & m2_finseq_1(G, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  & m2_finseq_1(H, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) ) ) )  =>  ( ( (! [I] :  (m2_subset_1(I, k4_ordinal1, k4_finseq_1(D)) =>  (1=I =>  ( (v8_msafree5(k1_funct_1(H, I), A, B, k1_msafree3(A, B), k25_msafree5(A, D, I), k26_msafree5(A, B, D, o_5_5_msafree5(A, B, D, F, G), I)) & m1_subset_1(k1_funct_1(H, I), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  &  (r1_tarski(k9_xtuple_0(C), k9_xtuple_0(k1_funct_1(H, I))) &  (k1_funct_1(k1_funct_1(H, I), k7_partfun1(k9_xtuple_0(C), E, I))=k1_domain_1(k1_msafree4(u1_struct_0(A), B, k25_msafree5(A, D, I)), u1_struct_0(A), k26_msafree5(A, B, D, o_5_5_msafree5(A, B, D, F, G), I), k25_msafree5(A, D, I)) &  (! [J] :  (m2_subset_1(J, k4_ordinal1, k4_finseq_1(D)) =>  ( ~ (r1_xxreal_0(J, I))  =>  (v9_msafree5(k7_partfun1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), H, I), A, B, k1_msafree3(A, B), k25_msafree5(A, D, J), k26_msafree5(A, B, D, o_5_5_msafree5(A, B, D, F, G), J)) & k1_funct_1(k1_funct_1(H, I), k7_partfun1(k9_xtuple_0(C), E, J))=k1_domain_1(k1_msafree4(u1_struct_0(A), B, k25_msafree5(A, D, J)), u1_struct_0(A), k26_msafree5(A, B, D, F, J), k25_msafree5(A, D, J))) ) ) ) ) ) ) ) ) )  &  (! [K] :  (v7_ordinal1(K) =>  ( (r1_xxreal_0(1, K) &  (! [L] :  (m2_subset_1(L, k4_ordinal1, k4_finseq_1(D)) =>  (K=L =>  ( (v8_msafree5(k1_funct_1(H, L), A, B, k1_msafree3(A, B), k25_msafree5(A, D, L), k26_msafree5(A, B, D, o_5_5_msafree5(A, B, D, F, G), L)) & m1_subset_1(k1_funct_1(H, L), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  &  (r1_tarski(k9_xtuple_0(C), k9_xtuple_0(k1_funct_1(H, L))) &  (k1_funct_1(k1_funct_1(H, L), k7_partfun1(k9_xtuple_0(C), E, L))=k1_domain_1(k1_msafree4(u1_struct_0(A), B, k25_msafree5(A, D, L)), u1_struct_0(A), k26_msafree5(A, B, D, o_5_5_msafree5(A, B, D, F, G), L), k25_msafree5(A, D, L)) &  (! [M] :  (m2_subset_1(M, k4_ordinal1, k4_finseq_1(D)) =>  ( ~ (r1_xxreal_0(M, L))  =>  (v9_msafree5(k7_partfun1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), H, L), A, B, k1_msafree3(A, B), k25_msafree5(A, D, M), k26_msafree5(A, B, D, o_5_5_msafree5(A, B, D, F, G), M)) & k1_funct_1(k1_funct_1(H, L), k7_partfun1(k9_xtuple_0(C), E, M))=k1_domain_1(k1_msafree4(u1_struct_0(A), B, k25_msafree5(A, D, M)), u1_struct_0(A), k26_msafree5(A, B, D, F, M), k25_msafree5(A, D, M))) ) ) ) ) ) ) ) ) ) )  =>  (! [N] :  (m2_subset_1(N, k4_ordinal1, k4_finseq_1(D)) =>  (k1_nat_1(K, 1)=N =>  ( (v8_msafree5(k1_funct_1(H, N), A, B, k1_msafree3(A, B), k25_msafree5(A, D, N), k26_msafree5(A, B, D, o_5_5_msafree5(A, B, D, F, G), N)) & m1_subset_1(k1_funct_1(H, N), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  &  (r1_tarski(k9_xtuple_0(C), k9_xtuple_0(k1_funct_1(H, N))) &  (k1_funct_1(k1_funct_1(H, N), k7_partfun1(k9_xtuple_0(C), E, N))=k1_domain_1(k1_msafree4(u1_struct_0(A), B, k25_msafree5(A, D, N)), u1_struct_0(A), k26_msafree5(A, B, D, o_5_5_msafree5(A, B, D, F, G), N), k25_msafree5(A, D, N)) &  (! [O] :  (m2_subset_1(O, k4_ordinal1, k4_finseq_1(D)) =>  ( ~ (r1_xxreal_0(O, N))  =>  (v9_msafree5(k7_partfun1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), H, N), A, B, k1_msafree3(A, B), k25_msafree5(A, D, O), k26_msafree5(A, B, D, o_5_5_msafree5(A, B, D, F, G), O)) & k1_funct_1(k1_funct_1(H, N), k7_partfun1(k9_xtuple_0(C), E, O))=k1_domain_1(k1_msafree4(u1_struct_0(A), B, k25_msafree5(A, D, O)), u1_struct_0(A), k26_msafree5(A, B, D, F, O), k25_msafree5(A, D, O))) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [K] :  (v7_ordinal1(K) =>  (r1_xxreal_0(1, K) =>  (! [P] :  (m2_subset_1(P, k4_ordinal1, k4_finseq_1(D)) =>  (K=P =>  ( (v8_msafree5(k1_funct_1(H, P), A, B, k1_msafree3(A, B), k25_msafree5(A, D, P), k26_msafree5(A, B, D, o_5_5_msafree5(A, B, D, F, G), P)) & m1_subset_1(k1_funct_1(H, P), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  &  (r1_tarski(k9_xtuple_0(C), k9_xtuple_0(k1_funct_1(H, P))) &  (k1_funct_1(k1_funct_1(H, P), k7_partfun1(k9_xtuple_0(C), E, P))=k1_domain_1(k1_msafree4(u1_struct_0(A), B, k25_msafree5(A, D, P)), u1_struct_0(A), k26_msafree5(A, B, D, o_5_5_msafree5(A, B, D, F, G), P), k25_msafree5(A, D, P)) &  (! [Q] :  (m2_subset_1(Q, k4_ordinal1, k4_finseq_1(D)) =>  ( ~ (r1_xxreal_0(Q, P))  =>  (v9_msafree5(k7_partfun1(k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))), H, P), A, B, k1_msafree3(A, B), k25_msafree5(A, D, Q), k26_msafree5(A, B, D, o_5_5_msafree5(A, B, D, F, G), Q)) & k1_funct_1(k1_funct_1(H, P), k7_partfun1(k9_xtuple_0(C), E, Q))=k1_domain_1(k1_msafree4(u1_struct_0(A), B, k25_msafree5(A, D, Q)), u1_struct_0(A), k26_msafree5(A, B, D, F, Q), k25_msafree5(A, D, Q))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s8_nat_1__e49_264__msafree5, axiom,  (! [A, B, C, D, E, F, G, H, I] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v6_msafree5(B)) ) ) )  &  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  (m1_msualg_6(D, A, k1_msafree3(A, B)) &  ( ( ~ (v1_xboole_0(E))  & m2_finseq_1(E, u1_struct_0(A)))  &  ( (v2_funct_1(F) & m2_finseq_1(F, k9_xtuple_0(C)))  &  ( (v17_msafree5(G, A, B, E) & m2_finseq_1(G, k3_card_3(B)))  &  ( (v18_msafree5(H, A, B, E) & m2_finseq_1(H, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  &  (v19_msafree5(I, A, B, E, o_5_5_msafree5(A, B, E, G, H)) & m2_finseq_1(I, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B))))) ) ) ) ) ) ) ) )  =>  ( ( (! [J] :  (m2_subset_1(J, k4_ordinal1, k4_finseq_1(E)) =>  (! [K] :  (m2_subset_1(K, k4_ordinal1, k4_finseq_1(E)) =>  ( (1=J & r1_xxreal_0(K, J))  =>  (k5_trees_2(k18_msafree5(A, B, k25_msafree5(A, E, J), k26_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), J), k28_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), I, J), k27_msafree5(A, B, E, H, J)), k7_partfun1(k9_xtuple_0(C), F, K))=k5_trees_2(k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), D, C), k7_partfun1(k9_xtuple_0(C), F, K)) & k5_relat_1(k18_msafree5(A, B, k25_msafree5(A, E, J), k26_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), J), k28_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), I, J), k27_msafree5(A, B, E, H, J)), k6_subset_1(k9_xtuple_0(C), k10_xtuple_0(F)))=k5_relat_1(C, k6_subset_1(k9_xtuple_0(C), k10_xtuple_0(F)))) ) ) ) ) )  &  (! [L] :  (v7_ordinal1(L) =>  ( (r1_xxreal_0(1, L) &  (! [M] :  (m2_subset_1(M, k4_ordinal1, k4_finseq_1(E)) =>  (! [N] :  (m2_subset_1(N, k4_ordinal1, k4_finseq_1(E)) =>  ( (L=M & r1_xxreal_0(N, M))  =>  (k5_trees_2(k18_msafree5(A, B, k25_msafree5(A, E, M), k26_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), M), k28_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), I, M), k27_msafree5(A, B, E, H, M)), k7_partfun1(k9_xtuple_0(C), F, N))=k5_trees_2(k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), D, C), k7_partfun1(k9_xtuple_0(C), F, N)) & k5_relat_1(k18_msafree5(A, B, k25_msafree5(A, E, M), k26_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), M), k28_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), I, M), k27_msafree5(A, B, E, H, M)), k6_subset_1(k9_xtuple_0(C), k10_xtuple_0(F)))=k5_relat_1(C, k6_subset_1(k9_xtuple_0(C), k10_xtuple_0(F)))) ) ) ) ) ) )  =>  (! [O] :  (m2_subset_1(O, k4_ordinal1, k4_finseq_1(E)) =>  (! [P] :  (m2_subset_1(P, k4_ordinal1, k4_finseq_1(E)) =>  ( (k1_nat_1(L, 1)=O & r1_xxreal_0(P, O))  =>  (k5_trees_2(k18_msafree5(A, B, k25_msafree5(A, E, O), k26_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), O), k28_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), I, O), k27_msafree5(A, B, E, H, O)), k7_partfun1(k9_xtuple_0(C), F, P))=k5_trees_2(k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), D, C), k7_partfun1(k9_xtuple_0(C), F, P)) & k5_relat_1(k18_msafree5(A, B, k25_msafree5(A, E, O), k26_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), O), k28_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), I, O), k27_msafree5(A, B, E, H, O)), k6_subset_1(k9_xtuple_0(C), k10_xtuple_0(F)))=k5_relat_1(C, k6_subset_1(k9_xtuple_0(C), k10_xtuple_0(F)))) ) ) ) ) ) ) ) ) )  =>  (! [L] :  (v7_ordinal1(L) =>  (r1_xxreal_0(1, L) =>  (! [Q] :  (m2_subset_1(Q, k4_ordinal1, k4_finseq_1(E)) =>  (! [R] :  (m2_subset_1(R, k4_ordinal1, k4_finseq_1(E)) =>  ( (L=Q & r1_xxreal_0(R, Q))  =>  (k5_trees_2(k18_msafree5(A, B, k25_msafree5(A, E, Q), k26_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), Q), k28_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), I, Q), k27_msafree5(A, B, E, H, Q)), k7_partfun1(k9_xtuple_0(C), F, R))=k5_trees_2(k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), D, C), k7_partfun1(k9_xtuple_0(C), F, R)) & k5_relat_1(k18_msafree5(A, B, k25_msafree5(A, E, Q), k26_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), Q), k28_msafree5(A, B, E, o_5_5_msafree5(A, B, E, G, H), I, Q), k27_msafree5(A, B, E, H, Q)), k6_subset_1(k9_xtuple_0(C), k10_xtuple_0(F)))=k5_relat_1(C, k6_subset_1(k9_xtuple_0(C), k10_xtuple_0(F)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s8_nat_1__e7_264_4__msafree5, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v6_msafree5(B)) ) ) )  &  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  ( ( ~ (v1_xboole_0(D))  & m2_finseq_1(D, u1_struct_0(A)))  &  ( (v2_funct_1(E) & m2_finseq_1(E, k9_xtuple_0(C)))  &  ( (v17_msafree5(F, A, B, D) & m2_finseq_1(F, k3_card_3(B)))  &  ( (v18_msafree5(G, A, B, D) & m2_finseq_1(G, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  &  ( ~ (v1_xboole_0(H))  &  (v1_relat_1(H) &  (v1_funct_1(H) &  (v1_finseq_1(H) & v6_trees_3(H)) ) ) ) ) ) ) ) ) ) )  =>  ( ( (r2_tarski(1, k4_finseq_1(D)) =>  (r2_tarski(k1_funct_1(H, 1), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  (r2_tarski(k1_funct_1(E, 1), k9_xtuple_0(k1_funct_1(H, 1))) &  (k1_funct_1(k1_funct_1(H, 1), k1_funct_1(E, 1))=k4_tarski(k1_funct_1(o_5_5_msafree5(A, B, D, F, G), 1), k1_funct_1(D, 1)) &  (! [I] :  (v7_ordinal1(I) =>  (r2_tarski(I, k4_finseq_1(D)) =>  (r1_xxreal_0(I, 1) |  (r2_tarski(k1_funct_1(E, I), k9_xtuple_0(k1_funct_1(H, 1))) & k1_funct_1(k1_funct_1(H, 1), k1_funct_1(E, I))=k4_tarski(k1_funct_1(F, I), k1_funct_1(D, I))) ) ) ) ) ) ) ) )  &  (! [J] :  (v7_ordinal1(J) =>  ( (r1_xxreal_0(1, J) &  (r2_tarski(J, k4_finseq_1(D)) =>  (r2_tarski(k1_funct_1(H, J), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  (r2_tarski(k1_funct_1(E, J), k9_xtuple_0(k1_funct_1(H, J))) &  (k1_funct_1(k1_funct_1(H, J), k1_funct_1(E, J))=k4_tarski(k1_funct_1(o_5_5_msafree5(A, B, D, F, G), J), k1_funct_1(D, J)) &  (! [K] :  (v7_ordinal1(K) =>  (r2_tarski(K, k4_finseq_1(D)) =>  (r1_xxreal_0(K, J) |  (r2_tarski(k1_funct_1(E, K), k9_xtuple_0(k1_funct_1(H, J))) & k1_funct_1(k1_funct_1(H, J), k1_funct_1(E, K))=k4_tarski(k1_funct_1(F, K), k1_funct_1(D, K))) ) ) ) ) ) ) ) ) )  =>  (r2_tarski(k1_nat_1(J, 1), k4_finseq_1(D)) =>  (r2_tarski(k1_funct_1(H, k1_nat_1(J, 1)), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  (r2_tarski(k1_funct_1(E, k1_nat_1(J, 1)), k9_xtuple_0(k1_funct_1(H, k1_nat_1(J, 1)))) &  (k1_funct_1(k1_funct_1(H, k1_nat_1(J, 1)), k1_funct_1(E, k1_nat_1(J, 1)))=k4_tarski(k1_funct_1(o_5_5_msafree5(A, B, D, F, G), k1_nat_1(J, 1)), k1_funct_1(D, k1_nat_1(J, 1))) &  (! [L] :  (v7_ordinal1(L) =>  (r2_tarski(L, k4_finseq_1(D)) =>  (r1_xxreal_0(L, k1_nat_1(J, 1)) |  (r2_tarski(k1_funct_1(E, L), k9_xtuple_0(k1_funct_1(H, k1_nat_1(J, 1)))) & k1_funct_1(k1_funct_1(H, k1_nat_1(J, 1)), k1_funct_1(E, L))=k4_tarski(k1_funct_1(F, L), k1_funct_1(D, L))) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [J] :  (v7_ordinal1(J) =>  (r1_xxreal_0(1, J) =>  (r2_tarski(J, k4_finseq_1(D)) =>  (r2_tarski(k1_funct_1(H, J), k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) &  (r2_tarski(k1_funct_1(E, J), k9_xtuple_0(k1_funct_1(H, J))) &  (k1_funct_1(k1_funct_1(H, J), k1_funct_1(E, J))=k4_tarski(k1_funct_1(o_5_5_msafree5(A, B, D, F, G), J), k1_funct_1(D, J)) &  (! [M] :  (v7_ordinal1(M) =>  (r2_tarski(M, k4_finseq_1(D)) =>  (r1_xxreal_0(M, J) |  (r2_tarski(k1_funct_1(E, M), k9_xtuple_0(k1_funct_1(H, J))) & k1_funct_1(k1_funct_1(H, J), k1_funct_1(E, M))=k4_tarski(k1_funct_1(F, M), k1_funct_1(D, M))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(spc0_boole, axiom, v1_xboole_0(0)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, k4_xcmplx_0(B))=k6_xcmplx_0(A, B)) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_boole, axiom,  ~ (v1_xboole_0(2)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc6_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(B, C))) ) ).
fof(spc8_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(spc9_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k6_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k6_xcmplx_0(B, A)) ) ).
fof(symmetry_r1_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (r1_subset_1(A, B) => r1_subset_1(B, A)) ) ) ).
fof(symmetry_r1_xboole_0, axiom,  (! [A, B] :  (r1_xboole_0(A, B) => r1_xboole_0(B, A)) ) ).
fof(symmetry_r2_relset_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r2_relset_1(A, B, C, D) => r2_relset_1(A, B, D, C)) ) ) ).
fof(t102_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  (r2_tarski(C, k9_xtuple_0(B)) => r2_tarski(k1_funct_1(B, C), A)) ) ) ) ) ).
fof(t128_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m2_finseq_1(C, u1_struct_0(A)))  =>  (! [D] :  ( (v18_msafree5(D, A, B, C) & m2_finseq_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))))  =>  (! [E] :  ( (v17_msafree5(E, A, B, C) & m2_finseq_1(E, k3_card_3(B)))  =>  (v22_msafree5(E, A, B, C, D) =>  (! [F] :  (m2_subset_1(F, k4_ordinal1, k4_finseq_1(C)) =>  (! [G] :  (m2_subset_1(G, k4_ordinal1, k4_finseq_1(C)) => v9_msafree5(k27_msafree5(A, B, C, D, F), A, B, k1_msafree3(A, B), k25_msafree5(A, C, G), k26_msafree5(A, B, C, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t129_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  (m2_msafree5(D, A, B, C) => m2_finseq_1(k12_mcart_1(D), u1_struct_0(A))) ) ) ) ) ) ) ) ).
fof(t12_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (r1_xxreal_0(A, B) => r1_xxreal_0(A, k2_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t130_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  (m2_msafree5(D, A, B, C) =>  (! [E] :  (m2_finseq_1(E, u1_struct_0(A)) =>  (E=k12_mcart_1(D) =>  (v17_msafree5(k11_mcart_1(D), A, B, E) & m2_finseq_1(k11_mcart_1(D), k3_card_3(B))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t131_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [G] :  (m1_trees_1(G, k9_xtuple_0(E)) =>  ( (k1_funct_1(E, G)=k1_domain_1(k1_msafree4(u1_struct_0(A), C, B), u1_struct_0(A), D, B) & k3_msafree5(A, k1_msafree3(A, C), F)=B)  => m1_msafree4(k7_trees_2(E, G, F), u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), k1_msafree4(u1_struct_0(A), u3_msualg_1(A, k1_msafree3(A, C)), k3_msafree5(A, k1_msafree3(A, C), E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t132_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [F] :  ( (v8_msafree5(F, A, C, k1_msafree3(A, C), B, D) & m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))))  =>  (v5_msafree5(C) =>  (! [G] :  (m1_trees_1(G, k9_xtuple_0(F)) =>  ( (k1_funct_1(F, G)=k1_domain_1(k1_msafree4(u1_struct_0(A), C, B), u1_struct_0(A), D, B) & k3_msafree5(A, k1_msafree3(A, C), E)=B)  => k18_msafree5(A, C, B, D, F, E)=k7_trees_2(F, G, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t133_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  ( (v1_relat_1(D) &  (v1_funct_1(D) & v1_finseq_1(D)) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_finseq_1(E)) )  =>  ( (r2_tarski(D, k9_xtuple_0(C)) & r2_tarski(E, k9_xtuple_0(C)))  =>  (D=E |  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_msafree4(H, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, F)) =>  (! [I] :  (m1_msafree4(I, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, G)) =>  ~ ( (k1_funct_1(C, D)=k1_domain_1(k1_msafree4(u1_struct_0(A), B, F), u1_struct_0(A), H, F) & r1_tarski(D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t134_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [G] :  (m1_trees_1(G, k9_xtuple_0(E)) =>  ( (F=k7_trees_2(E, G, k6_msafree5(A, C, B, D)) & v9_msafree5(E, A, C, k1_msafree3(A, C), B, D))  =>  (v8_msafree5(F, A, C, k1_msafree3(A, C), B, D) & m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C))))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t135_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [G] :  (m1_trees_1(G, k9_xtuple_0(E)) =>  (k1_funct_1(E, G)=k1_domain_1(k1_msafree4(u1_struct_0(A), C, B), u1_struct_0(A), D, B) => r1_tarski(k9_xtuple_0(E), k9_xtuple_0(k7_trees_2(E, G, F)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t136_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [F] :  (m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [G] :  (m1_trees_1(G, k9_xtuple_0(F)) =>  (k1_funct_1(F, G)=k1_domain_1(k1_msafree4(u1_struct_0(A), C, B), u1_struct_0(A), D, B) => k9_xtuple_0(F)=k9_xtuple_0(k7_trees_2(F, G, k6_msafree5(A, C, B, E)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t138_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(A)) => k5_trees_2(k7_trees_2(A, C, B), C)=B) ) ) ) ) ) ).
fof(t139_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_msualg_6(C, A, k1_msafree3(A, B)) =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [F] :  (m1_trees_1(F, k9_xtuple_0(D)) =>  (E=k5_trees_2(D, F) => k5_trees_2(k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), C, D), F)=k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ( ~ (r1_xxreal_0(k1_nat_1(B, 1), A))  <=> r1_xxreal_0(A, B)) ) ) ) ) ).
fof(t140_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [F] :  (m1_trees_1(F, k9_xtuple_0(E)) =>  (k1_funct_1(E, F)=k1_domain_1(k1_msafree4(u1_struct_0(A), C, B), u1_struct_0(A), D, B) => k5_trees_2(E, F)=k6_msafree5(A, C, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t142_msafree5, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_trees_2(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v3_trees_2(B)) )  =>  (! [C] :  (m1_trees_1(C, k9_xtuple_0(A)) =>  (! [D] :  (m1_trees_1(D, k9_xtuple_0(A)) =>  ~ ( ( ~ (r1_relset_1(k4_ordinal1, k4_ordinal1, C, D))  &  ( ~ (r1_relset_1(k4_ordinal1, k4_ordinal1, D, C))  &  ~ (k5_trees_2(k7_trees_2(A, C, B), D)=k5_trees_2(A, D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t146_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) & v6_msafree5(B)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [D] :  (m1_subset_1(D, k3_card_3(u3_msualg_1(A, k1_msafree3(A, B)))) =>  (! [E] :  (m1_msualg_6(E, A, k1_msafree3(A, B)) =>  (! [F] :  ( (v2_funct_1(F) & m2_finseq_1(F, k9_xtuple_0(C)))  =>  ( (k10_xtuple_0(F)=a_3_6_msafree5(A, B, C) &  (r1_tarski(k9_xtuple_0(C), k9_xtuple_0(D)) &  (k5_relat_1(C, k6_subset_1(k9_xtuple_0(C), k10_xtuple_0(F)))=k5_relat_1(D, k6_subset_1(k9_xtuple_0(C), k10_xtuple_0(F))) &  (! [G] :  (v7_ordinal1(G) =>  (r2_tarski(G, k4_finseq_1(F)) => k5_trees_2(k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), E, C), k7_partfun1(k9_xtuple_0(C), F, G))=k5_trees_2(D, k7_partfun1(k9_xtuple_0(C), F, G))) ) ) ) ) )  => k4_msafree5(A, k1_msafree3(A, B), k1_msafree3(A, B), E, C)=D) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_boole, axiom,  (! [A] : k2_xboole_0(A, k1_xboole_0)=A) ).
fof(t1_msafree5, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_trees_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_trees_1(B))  =>  (! [C] :  (m2_finseq_1(C, k4_ordinal1) =>  (! [D] :  (m2_finseq_1(D, k4_ordinal1) =>  ( (r2_tarski(C, A) & r2_tarski(D, k5_trees_1(A, C, B)))  =>  ( ( ~ (r1_tarski(C, D))  => r2_tarski(D, A))  &  (! [E] :  (m2_finseq_1(E, k4_ordinal1) =>  (D=k8_finseq_1(k4_ordinal1, C, E) => r2_tarski(E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v2_xxreal_0(A))  => v2_xxreal_0(B)) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t1_trees_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r1_tarski(A, B) <=>  (? [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  & B=k7_finseq_1(A, C)) ) ) ) ) ) ) ).
fof(t1_xtuple_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (k4_tarski(A, B)=k4_tarski(C, D) =>  (A=C & B=D) ) ) ) ) ) ).
fof(t1_xxreal_0, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(B, A))  => A=B) ) ) ) ) ).
fof(t25_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k1_relset_1(k4_ordinal1, A)) <=>  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(A))) ) ) ) ) ) ).
fof(t28_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v4_msualg_1(B, A) &  (v1_msafree1(B, A) & l3_msualg_1(B, A)) )  =>  (! [C] :  ( (v4_msualg_1(C, A) &  (v1_msafree1(C, A) & l3_msualg_1(C, A)) )  =>  (! [D] :  (m2_pboole(D, u1_struct_0(A), u3_msualg_1(A, B), u3_msualg_1(A, C)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, B))) => k3_msafree5(A, C, k4_msafree5(A, B, C, D, E))=k3_msafree5(A, B, E)) ) ) ) ) ) ) ) ) ) ).
fof(t29_trees_1, axiom, k2_trees_1(k5_numbers)=k1_tarski(k1_xboole_0)).
fof(t2_boole, axiom,  (! [A] : k3_xboole_0(A, k1_xboole_0)=k1_xboole_0) ).
fof(t2_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v3_xxreal_0(B))  => v3_xxreal_0(A)) ) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
fof(t3_boole, axiom,  (! [A] : k4_xboole_0(A, k1_xboole_0)=A) ).
fof(t3_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v3_xxreal_0(A))  & v3_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t3_trees_4, axiom,  (! [A] :  (k9_xtuple_0(k1_trees_4(A))=k2_trees_1(k5_numbers) & k1_funct_1(k1_trees_4(A), k1_xboole_0)=A) ) ).
fof(t3_xboole_0, axiom,  (! [A] :  (! [B] :  ( ~ ( ( ~ (r1_xboole_0(A, B))  &  (! [C] :  ~ ( (r2_hidden(C, A) & r2_hidden(C, B)) ) ) ) )  &  ~ ( ( (? [C] :  (r2_hidden(C, A) & r2_hidden(C, B)) )  & r1_xboole_0(A, B)) ) ) ) ) ).
fof(t49_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(B, A) => k1_funct_1(k5_relat_1(C, A), B)=k1_funct_1(C, B)) ) ) ) ) ).
fof(t4_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k6_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t4_boole, axiom,  (! [A] : k4_xboole_0(k1_xboole_0, A)=k1_xboole_0) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t57_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r2_hidden(B, k9_xtuple_0(k5_relat_1(C, A))) <=>  (r2_hidden(B, A) & r2_hidden(B, k9_xtuple_0(C))) ) ) ) ) ) ).
fof(t5_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(k5_numbers, A)=k5_numbers) ) ).
fof(t5_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t62_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(A, k9_xtuple_0(B)) => k9_xtuple_0(k5_relat_1(B, A))=A) ) ) ) ).
fof(t6_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(A, 1)=A) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t6_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(A) |  (v2_xxreal_0(B) | v3_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t70_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v1_funct_1(B) & v1_partfun1(B, u1_struct_0(A))) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_msafree4(E, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, C)) =>  (! [F] :  (m1_msafree4(F, u1_struct_0(A), B, k1_msafree4(u1_struct_0(A), B, D)) =>  ( ~ ( (C=D & E=F) )  <=> v9_msafree5(k6_msafree5(A, B, C, E), A, B, k1_msafree3(A, B), D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ).
fof(t7_xboole_0, axiom,  (! [A] :  ~ ( ( ~ (A=k1_xboole_0)  &  (! [B] :  ~ (r2_hidden(B, A)) ) ) ) ) ).
fof(t87_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (A=k7_finseq_1(A, B) | A=k7_finseq_1(B, A))  => B=k1_xboole_0) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
fof(t90_msafree5, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  ( ~ (v11_struct_0(A))  & l1_msualg_1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v1_funct_1(C) & v1_partfun1(C, u1_struct_0(A))) ) ) )  =>  (! [D] :  (m1_msafree4(D, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, B)) =>  (! [E] :  (m1_subset_1(E, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))) =>  (! [F] :  ( (v8_msafree5(F, A, C, k1_msafree3(A, C), B, D) & m1_subset_1(F, k3_card_3(u3_msualg_1(A, k1_msafree3(A, C)))))  =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  (! [H] :  (m1_msafree4(H, u1_struct_0(A), C, k1_msafree4(u1_struct_0(A), C, G)) =>  ( (k3_msafree5(A, k1_msafree3(A, C), E)=B &  (v9_msafree5(F, A, C, k1_msafree3(A, C), G, H) & v9_msafree5(E, A, C, k1_msafree3(A, C), G, H)) )  => v9_msafree5(k18_msafree5(A, C, B, D, F, E), A, C, k1_msafree3(A, C), G, H)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
