% Mizar problem: t36_ltlaxio1,ltlaxio1,1762,6 
fof(t36_ltlaxio1, conjecture,  (! [A] :  (m2_subset_1(A, k1_hilbert1, k13_ltlaxio1) =>  ~ ( ( ~ (v1_ltlaxio1(A))  &  ( ~ (v3_ltlaxio1(A))  &  ( ~ (v4_ltlaxio1(A))  &  ( ~ (v5_ltlaxio1(A))  &  ( ~ (v6_ltlaxio1(A))  &  ( ~ (v7_ltlaxio1(A))  &  ( ~ (v8_ltlaxio1(A))  &  ~ (v9_ltlaxio1(A)) ) ) ) ) ) ) ) ) ) ) ).
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_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc16_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_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_funct_1(A)) ) ).
fof(cc1_hilbert1, axiom,  (! [A] :  (v5_hilbert1(A) =>  ( ~ (v1_xboole_0(A))  &  (v1_hilbert1(A) &  (v2_hilbert1(A) &  (v3_hilbert1(A) & v4_hilbert1(A)) ) ) ) ) ) ).
fof(cc1_margrel1, axiom,  (! [A] :  (v1_xboole_0(A) => v2_card_3(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_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(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_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( ~ (v1_subset_1(B, A))  =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(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_hilbert1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => v1_finseq_1(A)) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_xboole_0(B) => v1_subset_1(B, A)) ) ) ) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(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(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_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_subset_1(B, A)) ) ) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(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(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_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
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(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_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(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_xxreal_0, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(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_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v8_ordinal1(A) & v1_xxreal_0(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(d17_ltlaxio1, axiom,  (! [A] :  (v2_ltlaxio1(A) <=>  (! [B] :  (m1_subset_1(B, k1_hilbert1) =>  (! [C] :  (m1_subset_1(C, k1_hilbert1) =>  ( (v1_ltlaxio1(B) => r2_tarski(B, A))  &  (r2_tarski(k3_hilbert1(k1_ltlaxio1(k2_ltlaxio1(B)), k2_ltlaxio1(k1_ltlaxio1(B))), A) &  (r2_tarski(k3_hilbert1(k2_ltlaxio1(k1_ltlaxio1(B)), k1_ltlaxio1(k2_ltlaxio1(B))), A) &  (r2_tarski(k3_hilbert1(k2_ltlaxio1(k3_hilbert1(B, C)), k3_hilbert1(k2_ltlaxio1(B), k2_ltlaxio1(C))), A) &  (r2_tarski(k3_hilbert1(k6_ltlaxio1(B), k4_ltlaxio1(B, k2_ltlaxio1(k6_ltlaxio1(B)))), A) &  (r2_tarski(k3_hilbert1(k4_hilbert1(B, C), k5_ltlaxio1(k2_ltlaxio1(C), k2_ltlaxio1(k4_ltlaxio1(B, k4_hilbert1(B, C))))), A) &  (r2_tarski(k3_hilbert1(k5_ltlaxio1(k2_ltlaxio1(C), k2_ltlaxio1(k4_ltlaxio1(B, k4_hilbert1(B, C)))), k4_hilbert1(B, C)), A) & r2_tarski(k3_hilbert1(k4_hilbert1(B, C), k2_ltlaxio1(k7_ltlaxio1(C))), A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_hilbert1)) =>  (A=k13_ltlaxio1 <=>  (v2_ltlaxio1(A) &  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_hilbert1)) =>  (v2_ltlaxio1(B) => r1_tarski(A, B)) ) ) ) ) ) ) ).
fof(d1_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => k1_ltlaxio1(A)=k3_hilbert1(A, k2_hilbert1)) ) ).
fof(d22_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v3_ltlaxio1(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) & A=k3_hilbert1(k1_ltlaxio1(k2_ltlaxio1(B)), k2_ltlaxio1(k1_ltlaxio1(B)))) ) ) ) ) ).
fof(d23_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v4_ltlaxio1(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) & A=k3_hilbert1(k2_ltlaxio1(k1_ltlaxio1(B)), k1_ltlaxio1(k2_ltlaxio1(B)))) ) ) ) ) ).
fof(d24_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v5_ltlaxio1(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) &  (? [C] :  (m1_subset_1(C, k1_hilbert1) & A=k3_hilbert1(k2_ltlaxio1(k3_hilbert1(B, C)), k3_hilbert1(k2_ltlaxio1(B), k2_ltlaxio1(C)))) ) ) ) ) ) ) ).
fof(d25_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v6_ltlaxio1(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) & A=k3_hilbert1(k6_ltlaxio1(B), k4_ltlaxio1(B, k2_ltlaxio1(k6_ltlaxio1(B))))) ) ) ) ) ).
fof(d26_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v7_ltlaxio1(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) &  (? [C] :  (m1_subset_1(C, k1_hilbert1) & A=k3_hilbert1(k4_hilbert1(B, C), k5_ltlaxio1(k2_ltlaxio1(C), k2_ltlaxio1(k4_ltlaxio1(B, k4_hilbert1(B, C)))))) ) ) ) ) ) ) ).
fof(d27_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v8_ltlaxio1(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) &  (? [C] :  (m1_subset_1(C, k1_hilbert1) & A=k3_hilbert1(k5_ltlaxio1(k2_ltlaxio1(C), k2_ltlaxio1(k4_ltlaxio1(B, k4_hilbert1(B, C)))), k4_hilbert1(B, C))) ) ) ) ) ) ) ).
fof(d28_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (v9_ltlaxio1(A) <=>  (? [B] :  (m1_subset_1(B, k1_hilbert1) &  (? [C] :  (m1_subset_1(C, k1_hilbert1) & A=k3_hilbert1(k4_hilbert1(B, C), k2_ltlaxio1(k7_ltlaxio1(C)))) ) ) ) ) ) ) ).
fof(d2_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => k2_ltlaxio1(A)=k4_hilbert1(k2_hilbert1, A)) ) ).
fof(d3_ltlaxio1, axiom, k3_ltlaxio1=k1_ltlaxio1(k2_hilbert1)).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d4_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => k4_ltlaxio1(A, B)=k1_ltlaxio1(k3_hilbert1(A, k1_ltlaxio1(B)))) ) ) ) ).
fof(d5_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) =>  (! [B] :  (m1_subset_1(B, k1_hilbert1) => k5_ltlaxio1(A, B)=k1_ltlaxio1(k4_ltlaxio1(k1_ltlaxio1(A), k1_ltlaxio1(B)))) ) ) ) ).
fof(d6_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => k6_ltlaxio1(A)=k1_ltlaxio1(k5_ltlaxio1(k1_ltlaxio1(A), k4_hilbert1(k3_ltlaxio1, k1_ltlaxio1(A))))) ) ).
fof(d7_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => k7_ltlaxio1(A)=k1_ltlaxio1(k6_ltlaxio1(k1_ltlaxio1(A)))) ) ).
fof(dt_k13_ltlaxio1, axiom, m1_subset_1(k13_ltlaxio1, k1_zfmisc_1(k1_hilbert1))).
fof(dt_k1_hilbert1, axiom, $true).
fof(dt_k1_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => m1_subset_1(k1_ltlaxio1(A), k1_hilbert1)) ) ).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_hilbert1, axiom, m1_subset_1(k2_hilbert1, k1_hilbert1)).
fof(dt_k2_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => m1_subset_1(k2_ltlaxio1(A), k1_hilbert1)) ) ).
fof(dt_k3_hilbert1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => m1_subset_1(k3_hilbert1(A, B), k1_hilbert1)) ) ).
fof(dt_k3_ltlaxio1, axiom, m1_subset_1(k3_ltlaxio1, k1_hilbert1)).
fof(dt_k4_hilbert1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => m1_subset_1(k4_hilbert1(A, B), k1_hilbert1)) ) ).
fof(dt_k4_ltlaxio1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => m1_subset_1(k4_ltlaxio1(A, B), k1_hilbert1)) ) ).
fof(dt_k5_ltlaxio1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_hilbert1) & m1_subset_1(B, k1_hilbert1))  => m1_subset_1(k5_ltlaxio1(A, B), k1_hilbert1)) ) ).
fof(dt_k6_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => m1_subset_1(k6_ltlaxio1(A), k1_hilbert1)) ) ).
fof(dt_k7_ltlaxio1, axiom,  (! [A] :  (m1_subset_1(A, k1_hilbert1) => m1_subset_1(k7_ltlaxio1(A), k1_hilbert1)) ) ).
fof(dt_m1_subset_1, axiom, $true).
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(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
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(fc1_hilbert1, axiom, v5_hilbert1(k1_hilbert1)).
fof(fc1_ltlaxio1, axiom, v2_ltlaxio1(k13_ltlaxio1)).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc2_hilbert1, axiom, v4_funct_1(k1_hilbert1)).
fof(fc2_ltlaxio1, axiom,  ~ (v1_xboole_0(k13_ltlaxio1)) ).
fof(fraenkel_a_0_0_ltlaxio1, axiom,  (! [A] :  (r2_hidden(A, a_0_0_ltlaxio1) <=>  (? [B] :  (m2_subset_1(B, k1_hilbert1, k13_ltlaxio1) &  (A=B &  ~ ( ( ~ (v1_ltlaxio1(B))  &  ( ~ (v3_ltlaxio1(B))  &  ( ~ (v4_ltlaxio1(B))  &  ( ~ (v5_ltlaxio1(B))  &  ( ~ (v6_ltlaxio1(B))  &  ( ~ (v7_ltlaxio1(B))  &  ( ~ (v8_ltlaxio1(B))  &  ~ (v9_ltlaxio1(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(rc1_hilbert1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v5_hilbert1(A)) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_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_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, A)) ) ) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
fof(rc4_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_subset_1(B, A)) ) ) ) ).
fof(rc4_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc6_subset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc7_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(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(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_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(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
