% Mizar problem: t18_polnot_2,polnot_2,1415,5 
fof(t18_polnot_2, conjecture,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v4_finseq_1(D) &  (v2_polnot_1(D, k9_polnot_2(A, k3_polnot_2(A, B))) &  (v3_polnot_1(D) & v7_polnot_2(D, k9_polnot_2(A, k3_polnot_2(A, B)))) ) ) )  =>  (! [E] :  (m1_subset_1(E, D) =>  ~ ( (k14_polnot_1(A, B, C)=1 &  (k15_polnot_2(A, k3_polnot_2(A, B), D, E)=C &  (! [F] :  (m1_subset_1(F, D) =>  ~ (E=k3_funct_2(D, D, k16_polnot_2(A, k3_polnot_2(A, B), D, C), F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v6_membered(A)) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(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(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_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(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(cc12_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
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(cc13_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(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(cc14_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_finseq_1(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(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(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_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
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(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_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(A)) ) ).
fof(cc1_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc1_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_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_polnot_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v4_finseq_1(A))  =>  (v4_finseq_1(A) & v3_polnot_1(A)) ) ) ).
fof(cc1_polnot_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) => v1_polnot_2(B)) ) ) ) ).
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_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc1_xreal_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xreal_0(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
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_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_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_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(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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(cc2_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funcop_1(A)) ) ) ) ).
fof(cc2_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_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_polnot_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v4_finseq_1(A))  =>  (v4_finseq_1(A) & v3_polnot_1(A)) ) ) ).
fof(cc2_polnot_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_polnot_2(A)) )  =>  (v1_relat_1(A) &  ( ~ (v2_relat_1(A))  &  (v1_funct_1(A) & v6_valued_0(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_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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
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_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_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_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_polnot_1, axiom,  (! [A] :  ( (v4_finseq_1(A) & v3_polnot_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v4_finseq_1(B) & v3_polnot_1(B)) ) ) ) ) ).
fof(cc3_polnot_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) ) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v4_finseq_1(B) &  (v3_polnot_1(B) & v6_polnot_2(B, A)) ) )  =>  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_zfmisc_1(B))  &  (v4_finseq_1(B) & v3_polnot_1(B)) ) ) ) ) ) ) ).
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_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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(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_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_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc4_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_polnot_1(A))) =>  ( ( ~ (v1_xboole_0(B))  & v3_polnot_1(B))  =>  ( ~ (v1_xboole_0(B))  &  (v4_finseq_1(B) & v3_polnot_1(B)) ) ) ) ) ) ) ).
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_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_subset_1(B, A)) ) ) ) ) ).
fof(cc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc5_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc5_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) => v6_valued_0(B)) ) ) ) ).
fof(cc5_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v4_relat_1(C, A)) ) ) ) ).
fof(cc5_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
fof(cc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(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_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_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc6_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v5_relat_1(C, A)) ) ) ) ).
fof(cc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_0(A)) ) ).
fof(cc7_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc7_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (v4_finseq_1(A) &  (v1_setfam_1(A) & v3_polnot_1(A)) ) ) ) ).
fof(cc7_polnot_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v3_polnot_1(B) &  (v5_polnot_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k5_polnot_1(A)))) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v4_finseq_1(C) &  (v2_polnot_1(C, k9_polnot_2(A, B)) &  (v3_polnot_1(C) & v7_polnot_2(C, k9_polnot_2(A, B))) ) ) )  =>  ( ~ (v1_xboole_0(C))  &  (v4_finseq_1(C) &  (v2_polnot_1(C, k9_polnot_2(A, B)) &  (v3_polnot_1(C) & v7_polnot_2(C, k9_polnot_2(A, B))) ) ) ) ) ) ) ) ).
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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(cc8_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(A)) ) ).
fof(cc8_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(cc8_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(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_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_funct_1(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc9_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v6_valued_0(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(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(d13_polnot_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_polnot_2(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v4_finseq_1(B) &  (v2_polnot_1(B, A) &  (v3_polnot_1(B) & v7_polnot_2(B, A)) ) ) )  => k6_polnot_2(A, B)=a_2_0_polnot_2(A, B)) ) ) ) ).
fof(d14_polnot_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_polnot_2(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v4_finseq_1(B) &  (v2_polnot_1(B, A) &  (v3_polnot_1(B) & v7_polnot_2(B, A)) ) ) )  => k7_polnot_2(A, B)=k2_xboole_0(k1_polnot_2(A), k6_polnot_2(A, B))) ) ) ) ).
fof(d21_polnot_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_polnot_1(B) &  (v5_polnot_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k5_polnot_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v4_finseq_1(C) &  (v2_polnot_1(C, k9_polnot_2(A, B)) &  (v3_polnot_1(C) & v7_polnot_2(C, k9_polnot_2(A, B))) ) ) )  => k13_polnot_2(A, B, C)=k7_polnot_2(k9_polnot_2(A, B), C)) ) ) ) ) ) ).
fof(d23_polnot_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_polnot_1(B) &  (v5_polnot_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k5_polnot_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v4_finseq_1(C) &  (v2_polnot_1(C, k9_polnot_2(A, B)) &  (v3_polnot_1(C) & v7_polnot_2(C, k9_polnot_2(A, B))) ) ) )  =>  (! [D] :  (m1_subset_1(D, C) => k15_polnot_2(A, B, C, D)=k15_polnot_1(k13_polnot_2(A, B, C), D)) ) ) ) ) ) ) ) ).
fof(d24_polnot_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v3_polnot_1(B) &  (v5_polnot_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k5_polnot_1(A)))) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v4_finseq_1(C) &  (v2_polnot_1(C, k9_polnot_2(A, B)) &  (v3_polnot_1(C) & v7_polnot_2(C, k9_polnot_2(A, B))) ) ) )  =>  (! [D] :  (m1_subset_1(D, A) =>  (k14_polnot_1(A, k9_polnot_2(A, B), D)=1 =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, C, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(C, C)))) )  =>  (E=k16_polnot_2(A, B, C, D) <=>  (! [F] :  ( (v1_relat_1(F) &  (v1_funct_1(F) & v1_finseq_1(F)) )  =>  (r2_tarski(F, C) => k1_funct_1(E, F)=k7_finseq_1(D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k11_polnot_1, axiom,  (! [A, B] :  ( (v4_finseq_1(A) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  => m1_subset_1(k11_polnot_1(A, B), k1_zfmisc_1(k5_polnot_1(A)))) ) ).
fof(dt_k13_polnot_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  ( ( ~ (v1_xboole_0(B))  &  (v3_polnot_1(B) &  (v5_polnot_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k5_polnot_1(A)))) ) )  &  ( ~ (v1_xboole_0(C))  &  (v4_finseq_1(C) &  (v2_polnot_1(C, k9_polnot_2(A, B)) &  (v3_polnot_1(C) & v7_polnot_2(C, k9_polnot_2(A, B))) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k13_polnot_2(A, B, C)))  &  (v4_finseq_1(k13_polnot_2(A, B, C)) &  (v3_polnot_1(k13_polnot_2(A, B, C)) & v6_polnot_2(k13_polnot_2(A, B, C), A)) ) ) ) ) ).
fof(dt_k14_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & m1_subset_1(C, A)) )  => v7_ordinal1(k14_polnot_1(A, B, C))) ) ).
fof(dt_k15_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k15_polnot_1(A, B)) &  (v1_funct_1(k15_polnot_1(A, B)) & v1_finseq_1(k15_polnot_1(A, B))) ) ) ) ).
fof(dt_k15_polnot_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  ( ( ~ (v1_xboole_0(B))  &  (v3_polnot_1(B) &  (v5_polnot_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k5_polnot_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(C))  &  (v4_finseq_1(C) &  (v2_polnot_1(C, k9_polnot_2(A, B)) &  (v3_polnot_1(C) & v7_polnot_2(C, k9_polnot_2(A, B))) ) ) )  & m1_subset_1(D, C)) ) )  => m1_subset_1(k15_polnot_2(A, B, C, D), k13_polnot_2(A, B, C))) ) ).
fof(dt_k16_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k16_polnot_1(A, B)) &  (v1_funct_1(k16_polnot_1(A, B)) & v1_finseq_1(k16_polnot_1(A, B))) ) ) ) ).
fof(dt_k16_polnot_2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  ( ( ~ (v1_xboole_0(B))  &  (v3_polnot_1(B) &  (v5_polnot_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k5_polnot_1(A)))) ) )  &  ( ( ~ (v1_xboole_0(C))  &  (v4_finseq_1(C) &  (v2_polnot_1(C, k9_polnot_2(A, B)) &  (v3_polnot_1(C) & v7_polnot_2(C, k9_polnot_2(A, B))) ) ) )  & m1_subset_1(D, A)) ) )  =>  (v1_funct_1(k16_polnot_2(A, B, C, D)) &  (v1_funct_2(k16_polnot_2(A, B, C, D), C, C) & m1_subset_1(k16_polnot_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(C, C)))) ) ) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k1_polnot_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_polnot_2(A)) )  =>  ( ~ (v1_xboole_0(k1_polnot_2(A)))  &  (v4_finseq_1(k1_polnot_2(A)) & v3_polnot_1(k1_polnot_2(A))) ) ) ) ).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k20_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  =>  ( ~ (v1_xboole_0(k20_polnot_1(A, B)))  &  (v3_polnot_1(k20_polnot_1(A, B)) & m1_subset_1(k20_polnot_1(A, B), k1_zfmisc_1(k5_polnot_1(A)))) ) ) ) ).
fof(dt_k21_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  =>  ( ~ (v1_xboole_0(k21_polnot_1(A, B)))  &  (v3_polnot_1(k21_polnot_1(A, B)) & m1_subset_1(k21_polnot_1(A, B), k1_zfmisc_1(k5_polnot_1(A)))) ) ) ) ).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_xboole_0, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => m1_subset_1(k3_funct_2(A, B, C, D), B)) ) ).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k3_polnot_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  =>  ( ~ (v1_xboole_0(k3_polnot_2(A, B)))  &  (v3_polnot_1(k3_polnot_2(A, B)) &  (v5_polnot_2(k3_polnot_2(A, B), A) & m1_subset_1(k3_polnot_2(A, B), k1_zfmisc_1(k5_polnot_1(A)))) ) ) ) ) ).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_polnot_1, axiom,  (! [A, B] :  ( (v4_finseq_1(A) & v7_ordinal1(B))  => v4_finseq_1(k4_polnot_1(A, B))) ) ).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_polnot_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  ( ~ (v1_xboole_0(k5_polnot_1(A)))  & v4_finseq_1(k5_polnot_1(A))) ) ) ).
fof(dt_k6_numbers, axiom, $true).
fof(dt_k6_polnot_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_polnot_2(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v4_finseq_1(B) &  (v2_polnot_1(B, A) &  (v3_polnot_1(B) & v7_polnot_2(B, A)) ) ) ) )  => m1_subset_1(k6_polnot_2(A, B), k1_zfmisc_1(B))) ) ).
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_polnot_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_polnot_2(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v4_finseq_1(B) &  (v2_polnot_1(B, A) &  (v3_polnot_1(B) & v7_polnot_2(B, A)) ) ) ) )  =>  ( ~ (v1_xboole_0(k7_polnot_2(A, B)))  &  (v4_finseq_1(k7_polnot_2(A, B)) &  (v3_polnot_1(k7_polnot_2(A, B)) & v6_polnot_2(k7_polnot_2(A, B), k1_polnot_2(A))) ) ) ) ) ).
fof(dt_k9_polnot_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v3_polnot_1(B) &  (v5_polnot_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k5_polnot_1(A)))) ) ) )  => m1_polnot_1(k9_polnot_2(A, B), A)) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_m1_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  (m1_polnot_1(B, A) =>  (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) ) ) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(existence_m1_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (? [B] : m1_polnot_1(B, A)) ) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc10_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finseq_1(A))  & v7_ordinal1(B))  =>  ( ~ (v1_xboole_0(k4_polnot_1(A, B)))  & v4_finseq_1(k4_polnot_1(A, B))) ) ) ).
fof(fc10_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
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(fc10_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fc11_funct_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  ~ (v1_xboole_0(k1_funct_1(A, B))) ) ) ).
fof(fc11_polnot_1, axiom,  (! [A, B] :  ( (v4_finseq_1(A) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1)))) ) )  => v2_polnot_1(k11_polnot_1(A, B), B)) ) ).
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_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(A))) ) ) ).
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_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(B, A))) ) ).
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_polnot_1, axiom,  (! [A, B] :  ( ( (v4_finseq_1(A) & v3_polnot_1(A))  & v7_ordinal1(B))  =>  (v4_finseq_1(k4_polnot_1(A, B)) & v3_polnot_1(k4_polnot_1(A, B))) ) ) ).
fof(fc13_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_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_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  & v7_ordinal1(B))  =>  ( ~ (v1_xboole_0(k4_polnot_1(A, B)))  & v4_finseq_1(k4_polnot_1(A, B))) ) ) ).
fof(fc14_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(B, A))) ) ).
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_funct_1, axiom,  (! [A, B, C] :  ( (v4_funct_1(A) &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_1(C, B)) & v1_funct_1(k1_funct_1(C, B))) ) ) ).
fof(fc18_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_funct_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  ~ (v1_zfmisc_1(k9_xtuple_0(A))) ) ) ).
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_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_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  =>  ( ~ (v1_xboole_0(k21_polnot_1(A, B)))  &  (v2_polnot_1(k21_polnot_1(A, B), B) & v3_polnot_1(k21_polnot_1(A, B))) ) ) ) ).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_polnot_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  =>  ( ~ (v1_xboole_0(k21_polnot_1(A, B)))  &  (v3_polnot_1(k21_polnot_1(A, B)) & v7_polnot_2(k21_polnot_1(A, B), 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_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc20_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) ) )  & m1_polnot_1(B, A))  =>  ~ (v1_zfmisc_1(k11_polnot_1(A, B))) ) ) ).
fof(fc21_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) ) )  & m1_polnot_1(B, A))  =>  ( ~ (v1_xboole_0(k21_polnot_1(A, B)))  &  ( ~ (v1_zfmisc_1(k21_polnot_1(A, B)))  & v3_polnot_1(k21_polnot_1(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_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k9_xtuple_0(A))) ) ).
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(fc36_finseq_1, axiom,  (! [A, B] :  ( (v4_finseq_1(A) & v4_finseq_1(B))  => v4_finseq_1(k2_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(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(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_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(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc4_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  => v3_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc4_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_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(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(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(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(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(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(fc5_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(B, A))) ) ) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
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(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_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_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_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_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(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_polnot_1, axiom,  (! [A, B] :  ( (v4_finseq_1(A) &  (v7_ordinal1(B) & v8_ordinal1(B)) )  =>  ( ~ (v1_xboole_0(k4_polnot_1(A, B)))  &  (v1_zfmisc_1(k4_polnot_1(A, B)) & v4_finseq_1(k4_polnot_1(A, B))) ) ) ) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_polnot_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (v1_xboole_0(k4_polnot_1(A, B)) & v4_finseq_1(k4_polnot_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(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finseq_1(A))  & v7_ordinal1(B))  =>  ( ~ (v1_xboole_0(k4_polnot_1(A, B)))  & v4_finseq_1(k4_polnot_1(A, B))) ) ) ).
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_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(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_zfmisc_1(A))  & v4_finseq_1(A))  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ( ~ (v1_zfmisc_1(k4_polnot_1(A, B)))  & v4_finseq_1(k4_polnot_1(A, B))) ) ) ).
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_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fraenkel_a_2_0_polnot_2, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_polnot_2(B)) )  &  ( ~ (v1_xboole_0(C))  &  (v4_finseq_1(C) &  (v2_polnot_1(C, B) &  (v3_polnot_1(C) & v7_polnot_2(C, B)) ) ) ) )  =>  (r2_hidden(A, a_2_0_polnot_2(B, C)) <=>  (? [D] :  (m1_subset_1(D, C) &  (A=D &  ~ (v5_polnot_1(D, k1_polnot_2(B))) ) ) ) ) ) ) ).
fof(idempotence_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, A)=A) ).
fof(ie1_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  => k20_polnot_1(A, B)=k21_polnot_1(A, B)) ) ).
fof(ie2_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  => k21_polnot_1(A, B)=k20_polnot_1(A, B)) ) ).
fof(rc10_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_card_1(B)) ) ) ) ).
fof(rc10_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_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc10_polnot_1, axiom,  (? [A] :  (v4_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) ) ) ) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
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_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc14_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(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(rc1_card_1, axiom,  (? [A] : v1_card_1(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_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_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_polnot_1, axiom,  (? [A] :  (v4_funct_1(A) &  ( ~ (v1_zfmisc_1(A))  & v4_finseq_1(A)) ) ) ).
fof(rc1_polnot_2, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_polnot_2(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_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
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_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ).
fof(rc2_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_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_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_polnot_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (? [B] :  (m1_polnot_1(B, A) &  (v1_relat_1(B) &  ( ~ (v2_relat_1(B))  &  (v3_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_funct_2(B, A, k4_ordinal1) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) &  (v5_valued_0(B) &  (v6_valued_0(B) & v1_polnot_2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_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_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_polnot_1, axiom,  (? [A] :  (v4_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) ) ) ) ).
fof(rc3_polnot_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_polnot_1(A))) &  (v4_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v4_finseq_1(B) &  (v3_polnot_1(B) & v5_polnot_2(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_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc4_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ).
fof(rc4_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(rc4_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  & v3_ordinal1(A)) ) ) ).
fof(rc4_ordinal1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(B)) ) ) ) ) ).
fof(rc4_polnot_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k5_polnot_1(A))) &  (v4_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v4_finseq_1(B) & v3_polnot_1(B)) ) ) ) ) ) ) ).
fof(rc4_polnot_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (? [B] :  (v4_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v4_finseq_1(B) &  (v3_polnot_1(B) & v6_polnot_2(B, A)) ) ) ) ) ) ) ).
fof(rc4_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_subset_1(B, A)) ) ) ) ).
fof(rc4_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_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_card_1(A)) ) ) ) ) ) ).
fof(rc5_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_finseq_1(A)) ) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(rc5_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_polnot_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  =>  (? [C] :  (v4_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v4_finseq_1(C) &  (v2_polnot_1(C, B) &  (v3_polnot_1(C) & v7_polnot_2(C, B)) ) ) ) ) ) ) ) ).
fof(rc5_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc6_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_finset_1(B)) ) ) ) ) ).
fof(rc6_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_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_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc6_subset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc7_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(rc7_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(A)) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc7_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  =>  (? [C] :  (v4_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v4_finseq_1(C) &  (v2_polnot_1(C, B) & v3_polnot_1(C)) ) ) ) ) ) ) ).
fof(rc7_polnot_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_polnot_2(A)) )  =>  (? [B] :  (v4_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v4_finseq_1(B) &  (v2_polnot_1(B, A) &  (v3_polnot_1(B) & v7_polnot_2(B, A)) ) ) ) ) ) ) ) ).
fof(rc8_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc8_polnot_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  ( ( ~ (v1_xboole_0(B))  &  (v4_finseq_1(B) &  (v3_polnot_1(B) & v6_polnot_2(B, A)) ) )  &  ( ~ (v1_xboole_0(C))  &  (v3_polnot_1(C) &  (v5_polnot_2(C, A) & m1_subset_1(C, k1_zfmisc_1(k5_polnot_1(A)))) ) ) ) )  =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k5_polnot_1(B))) &  (v4_funct_1(D) &  ( ~ (v1_xboole_0(D))  &  (v4_finseq_1(D) &  (v3_polnot_1(D) &  (v5_polnot_2(D, B) & v6_polnot_2(D, C)) ) ) ) ) ) ) ) ) ).
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_funct_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) ) ) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_polnot_1, axiom,  (? [A] :  (v4_funct_1(A) &  (v4_finseq_1(A) &  (v1_setfam_1(A) & v3_polnot_1(A)) ) ) ) ).
fof(rd1_polnot_1, axiom,  (! [A] :  (v4_finseq_1(A) => k4_polnot_1(A, 1)=A) ) ).
fof(rd1_polnot_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  => k9_polnot_2(A, k3_polnot_2(A, B))=B) ) ).
fof(rd2_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  => k7_finseq_1(k15_polnot_1(A, B), k16_polnot_1(A, B))=B) ) ).
fof(rd2_polnot_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v3_polnot_1(B) &  (v5_polnot_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k5_polnot_1(A)))) ) ) )  => k3_polnot_2(A, k9_polnot_2(A, B))=B) ) ).
fof(rd3_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  & m1_subset_1(B, A))  => k15_polnot_1(A, B)=B) ) ).
fof(rd4_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_subset_1(B, A) &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  => k15_polnot_1(A, k7_finseq_1(B, C))=B) ) ).
fof(rd5_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_subset_1(B, A) &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  => k16_polnot_1(A, k7_finseq_1(B, C))=C) ) ).
fof(redefinition_k14_polnot_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  &  (m1_polnot_1(B, A) & m1_subset_1(C, A)) )  => k14_polnot_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(redefinition_k1_polnot_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_polnot_2(A)) )  => k1_polnot_2(A)=k9_xtuple_0(A)) ) ).
fof(redefinition_k20_polnot_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  => k20_polnot_1(A, B)=k11_polnot_1(A, B)) ) ).
fof(redefinition_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => k3_funct_2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(redefinition_k3_polnot_2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  & m1_polnot_1(B, A))  => k3_polnot_2(A, B)=k21_polnot_1(A, B)) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, 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(t1_boole, axiom,  (! [A] : k2_xboole_0(A, k1_xboole_0)=A) ).
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(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_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(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(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(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t6_polnot_2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v4_finseq_1(A) & v3_polnot_1(A)) )  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v4_finseq_1(B) & v3_polnot_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_finseq_1(C)) )  =>  (r2_tarski(k15_polnot_1(A, C), B) =>  (v5_polnot_1(C, B) & k15_polnot_1(A, C)=k15_polnot_1(B, C)) ) ) ) ) ) ) ) ).
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(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(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)) ) ) ) ) ) ) ) ).
