% Mizar problem: t30_zfrefle1,zfrefle1,900,5 
fof(t30_zfrefle1, conjecture,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_zf_refle(B, A)) ) ) ) )  =>  ~ ( (r2_tarski(k4_ordinal1, A) &  ( (! [C] :  ( (v3_ordinal1(C) & m1_subset_1(C, A))  =>  (! [D] :  ( (v3_ordinal1(D) & m1_subset_1(D, A))  =>  (r2_tarski(C, D) => r1_tarski(k5_zf_refle(A, B, C), k5_zf_refle(A, B, D))) ) ) ) )  &  ( (! [C] :  ( (v3_ordinal1(C) & m1_subset_1(C, A))  =>  (v4_ordinal1(C) =>  (C=k1_xboole_0 | k5_zf_refle(A, B, C)=k3_card_3(k5_relat_1(B, C))) ) ) )  &  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  =>  ~ ( (v2_ordinal2(C) &  (v3_ordinal2(C) &  (! [D] :  ( (v3_ordinal1(D) & m1_subset_1(D, A))  =>  (k4_ordinal4(A, C, D)=D =>  (k1_xboole_0=D | r3_zfrefle1(k5_zf_refle(A, B, D), k4_zf_refle(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(cc10_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc11_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_card_1(A))  =>  (! [B] :  (v3_card_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc11_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_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(A)) ) ).
fof(cc1_classes2, axiom,  (! [A] :  (v2_classes1(A) => v1_classes1(A)) ) ).
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_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) & v1_funct_1(B)) ) )  =>  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) ) ) ) ) ) ) ).
fof(cc1_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A)))) =>  ( (v1_funct_1(B) & v1_funct_2(B, k2_ordinal1(A), k2_ordinal1(A)))  =>  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_funct_2(B, k2_ordinal1(A), k2_ordinal1(A)) & v1_ordinal2(B)) ) ) ) ) ) ) ) ).
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_zf_lang, axiom,  (! [A] :  (m1_subset_1(A, k1_zf_lang) => v7_ordinal1(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_classes2, axiom,  (! [A] :  (v1_classes2(A) =>  (v1_ordinal1(A) & v2_classes1(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_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(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_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_classes2, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_classes1(A))  => v1_classes2(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_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_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_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_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_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_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_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
fof(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(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(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_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(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
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(cc9_card_1, axiom,  (! [A] :  (v3_card_1(A, 1) =>  ( ~ (v1_xboole_0(A))  & v1_zfmisc_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(commutativity_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, B)=k2_xboole_0(B, A)) ).
fof(connectedness_r1_ordinal1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  =>  (r1_ordinal1(A, B) | r1_ordinal1(B, A)) ) ) ).
fof(d10_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  ( (? [B] :  (v3_ordinal1(B) & r1_ordinal2(B, A)) )  =>  (! [B] :  (v3_ordinal1(B) =>  (B=k8_ordinal2(A) <=> r1_ordinal2(B, A)) ) ) ) ) ) ).
fof(d19_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (v5_relat_1(B, A) <=> r1_tarski(k10_xtuple_0(B), A)) ) ) ) ).
fof(d1_binop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k1_binop_1(A, B, C)=k1_funct_1(A, k4_tarski(B, C))) ) ) ) ).
fof(d1_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( ( ~ (B=k1_xboole_0)  =>  (v1_funct_2(C, A, B) <=> A=k1_relset_1(A, C)) )  &  (B=k1_xboole_0 =>  (v1_funct_2(C, A, B) <=> C=k1_xboole_0) ) ) ) ) ) ) ).
fof(d1_tarski, axiom,  (! [A] :  (! [B] :  (B=k1_tarski(A) <=>  (! [C] :  (r2_hidden(C, B) <=> C=A) ) ) ) ) ).
fof(d2_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k1_funct_2(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  &  (D=E &  (k9_xtuple_0(E)=A & r1_tarski(k10_xtuple_0(E), B)) ) ) ) ) ) ) ) ) ) ).
fof(d2_ordinal1, axiom,  (! [A] :  (v1_ordinal1(A) <=>  (! [B] :  (r2_tarski(B, A) => r1_tarski(B, A)) ) ) ) ).
fof(d2_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => k2_ordinal4(A)=k1_xboole_0) ) ).
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(d3_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k2_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) | r2_hidden(D, B)) ) ) ) ) ) ) ).
fof(d3_zfrefle1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (r3_zfrefle1(A, B) <=>  (r1_tarski(A, B) &  (! [C] :  ( (v1_zf_lang(C) & m2_finseq_1(C, k4_ordinal1))  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k1_zf_lang, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang, A)))) )  =>  (r1_zf_model(A, D, C) <=> r1_zf_model(B, k1_zf_lang1(k1_zf_lang, A, B, D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r1_ordinal1(A, B) <=>  (! [C] :  (v3_ordinal1(C) =>  (r2_tarski(C, A) => r2_tarski(C, B)) ) ) ) ) ) ) ) ).
fof(d5_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  => k4_ordinal2(A)=k3_ordinal2(k10_xtuple_0(A))) ) ).
fof(d6_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] :  (C=k7_relat_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  (r2_hidden(E, k9_xtuple_0(A)) &  (r2_hidden(E, B) & D=k1_funct_1(A, E)) ) ) ) ) ) ) ) ) ) ).
fof(d6_tarski, axiom,  (! [A] :  (! [B] :  (r3_tarski(A, B) <=>  (? [C] :  ( (! [D] :  ~ ( (r2_hidden(D, A) &  (! [E] :  ~ ( (r2_hidden(E, B) & r2_hidden(k4_tarski(D, E), C)) ) ) ) ) )  &  ( (! [D] :  ~ ( (r2_hidden(D, B) &  (! [E] :  ~ ( (r2_hidden(E, A) & r2_hidden(k4_tarski(E, D), C)) ) ) ) ) )  &  (! [D] :  (! [E] :  (! [F] :  (! [G] :  ( (r2_hidden(k4_tarski(D, E), C) & r2_hidden(k4_tarski(F, G), C))  =>  (D=F <=> E=G) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k13_funct_5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k9_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C))))) ) ) ) )  =>  (v1_funct_1(k13_funct_5(A, B, C, D)) &  (v1_funct_2(k13_funct_5(A, B, C, D), k2_zfmisc_1(A, B), C) & m1_subset_1(k13_funct_5(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) ) ) ).
fof(dt_k1_binop_1, axiom, $true).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
fof(dt_k1_classes2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  & m1_subset_1(B, A))  => m1_subset_1(k1_classes2(A, B), A)) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_funct_2, axiom, $true).
fof(dt_k1_ordinal1, 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_setfam_1, axiom, $true).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zf_lang, axiom, m1_subset_1(k1_zf_lang, k1_zfmisc_1(k4_ordinal1))).
fof(dt_k1_zf_lang1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) )  =>  (v1_funct_1(k1_zf_lang1(A, B, C, D)) &  (v1_funct_2(k1_zf_lang1(A, B, C, D), A, C) & m1_subset_1(k1_zf_lang1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, C)))) ) ) ) ).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_funct_5, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k2_funct_5(A)) & v1_funct_1(k2_funct_5(A))) ) ) ).
fof(dt_k2_ordinal1, axiom, $true).
fof(dt_k2_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (v3_ordinal1(k2_ordinal4(A)) & m1_subset_1(k2_ordinal4(A), A)) ) ) ).
fof(dt_k2_xboole_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_card_3, axiom, $true).
fof(dt_k3_ordinal2, axiom,  (! [A] : v3_ordinal1(k3_ordinal2(A))) ).
fof(dt_k3_tarski, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  => v3_ordinal1(k4_ordinal2(A))) ) ).
fof(dt_k4_ordinal4, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  &  (v3_ordinal1(C) & m1_subset_1(C, A)) ) )  =>  (v3_ordinal1(k4_ordinal4(A, B, C)) & m1_subset_1(k4_ordinal4(A, B, C), A)) ) ) ).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_zf_refle, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_zf_refle(B, A)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k4_zf_refle(A, B)))  & m1_subset_1(k4_zf_refle(A, B), k1_zfmisc_1(A))) ) ) ).
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_zf_refle, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_zf_refle(B, A)) ) ) ) )  &  (v3_ordinal1(C) & m1_subset_1(C, A)) ) )  =>  ( ~ (v1_xboole_0(k5_zf_refle(A, B, C)))  & m1_subset_1(k5_zf_refle(A, B, C), A)) ) ) ).
fof(dt_k6_ordinal4, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (v3_ordinal1(B) & m1_subset_1(B, A)) )  =>  (v3_ordinal1(k6_ordinal4(A, B)) &  ( ~ (v1_xboole_0(k6_ordinal4(A, B)))  & m1_subset_1(k6_ordinal4(A, B), A)) ) ) ) ).
fof(dt_k7_relat_1, axiom, $true).
fof(dt_k8_ordinal2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  => v3_ordinal1(k8_ordinal2(A))) ) ).
fof(dt_k8_zf_lang, axiom,  ~ (v1_xboole_0(k8_zf_lang)) ).
fof(dt_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => m1_funct_2(k9_funct_2(A, B), A, B)) ) ).
fof(dt_k9_setfam_1, axiom,  (! [A] : m1_subset_1(k9_setfam_1(A), k1_zfmisc_1(k1_zfmisc_1(A)))) ).
fof(dt_k9_xtuple_0, axiom, $true).
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_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_funct_2(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
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(existence_m1_finseq_1, axiom,  (! [A] :  (? [B] : m1_finseq_1(B, A)) ) ).
fof(existence_m1_funct_2, axiom,  (! [A, B] :  (? [C] : m1_funct_2(C, A, B)) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m2_finseq_1, axiom,  (! [A] :  (? [B] : m2_finseq_1(B, A)) ) ).
fof(fc10_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ( ~ (v1_finset_1(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc10_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_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_ordinal1(A))  =>  ~ (v10_ordinal1(k10_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(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_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  => v1_setfam_1(k1_tarski(A))) ) ).
fof(fc11_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v9_ordinal1(A)) )  => v10_ordinal1(k10_xtuple_0(A))) ) ).
fof(fc11_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(k7_relat_1(A, B))) ) ) ).
fof(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(A))) ) ) ).
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(fc13_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_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(fc14_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, A))) ) ) ).
fof(fc14_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k1_tarski(A))) ) ).
fof(fc16_card_1, axiom,  (! [A] : v3_card_1(k1_tarski(A), 1)) ).
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_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_funct_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  ~ (v1_zfmisc_1(k9_xtuple_0(A))) ) ) ).
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_funct_1, axiom,  (! [A, B] : v1_funct_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc1_ordinal1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_ordinal1(A))) ) ).
fof(fc1_ordinal2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  & v3_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_ordinal2(k5_relat_1(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_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc1_zf_lang, axiom,  ~ (v1_xboole_0(k1_zf_lang)) ).
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_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  => v3_ordinal1(k2_ordinal1(A))) ) ).
fof(fc2_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  ( ~ (v1_xboole_0(k1_ordinal1(A)))  & v3_ordinal1(k1_ordinal1(A))) ) ) ).
fof(fc2_ordinal2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  => v3_ordinal1(k1_funct_1(A, B))) ) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
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_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k3_tarski(A))) ) ).
fof(fc3_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  ~ (v1_xboole_0(k2_ordinal1(A))) ) ) ).
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_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(fc5_ordinal1, 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_relat_1(k5_relat_1(A, B), k10_xtuple_0(A)) & v5_ordinal1(k5_relat_1(A, B))) ) ) ) ).
fof(fc5_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(B, A))) ) ) ).
fof(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_ordinal1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v7_ordinal1(A))  => v7_ordinal1(k1_ordinal1(A))) ) ).
fof(fc8_card_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_finset_1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc8_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_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
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(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
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(idempotence_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, A)=A) ).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(rc10_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_card_1(B)) ) ) ) ).
fof(rc10_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_card_1, axiom,  (? [A] : v1_card_1(A)) ).
fof(rc1_classes2, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_classes2(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_ordinal2, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) & v4_ordinal1(A)) ) ) ) ).
fof(rc1_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (? [B] :  (m1_subset_1(B, A) & v3_ordinal1(B)) ) ) ) ).
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_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_classes2, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (? [B] :  (m1_subset_1(B, A) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
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_ordinal2, axiom,  (? [A] :  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) ) ) ).
fof(rc2_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (? [B] :  (m1_subset_1(B, A) &  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  ~ (v1_xboole_0(B)) ) ) ) ) ) ) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_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_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_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(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_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_subset_1(B, A)) ) ) ) ).
fof(rc4_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_card_1(A)) ) ) ) ) ) ).
fof(rc5_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_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_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_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_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(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_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(rd1_card_1, axiom,  (! [A] :  (v1_card_1(A) => k1_card_1(A)=A) ) ).
fof(redefinition_k13_funct_5, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(D) &  (v1_funct_2(D, A, k9_funct_2(B, C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C))))) ) ) ) )  => k13_funct_5(A, B, C, D)=k2_funct_5(D)) ) ).
fof(redefinition_k1_classes2, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  & m1_subset_1(B, A))  => k1_classes2(A, B)=k1_tarski(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_k4_ordinal4, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  &  (v3_ordinal1(C) & m1_subset_1(C, A)) ) )  => k4_ordinal4(A, B, C)=k1_funct_1(B, C)) ) ).
fof(redefinition_k4_zf_refle, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_zf_refle(B, A)) ) ) ) ) )  => k4_zf_refle(A, B)=k3_card_3(B)) ) ).
fof(redefinition_k5_zf_refle, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_zf_refle(B, A)) ) ) ) )  &  (v3_ordinal1(C) & m1_subset_1(C, A)) ) )  => k5_zf_refle(A, B, C)=k1_funct_1(B, C)) ) ).
fof(redefinition_k6_ordinal4, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (v3_ordinal1(B) & m1_subset_1(B, A)) )  => k6_ordinal4(A, B)=k1_ordinal1(B)) ) ).
fof(redefinition_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k9_funct_2(A, B)=k1_funct_2(A, B)) ) ).
fof(redefinition_k9_setfam_1, axiom,  (! [A] : k9_setfam_1(A)=k1_zfmisc_1(A)) ).
fof(redefinition_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) <=> m1_finseq_1(B, A)) ) ) ).
fof(redefinition_r1_ordinal1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  =>  (r1_ordinal1(A, B) <=> r1_tarski(A, B)) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_ordinal1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => r1_ordinal1(A, A)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r3_zfrefle1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  => r3_zfrefle1(A, A)) ) ).
fof(rqSucc__k1_ordinal1__r0_r1, axiom, k1_ordinal1(0)=1).
fof(s4_zf_refle__e32_25__zfrefle1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) ) ) )  =>  ( ( ( ~ (k2_ordinal4(A)=k1_xboole_0)  => r1_ordinal1(k1_funct_1(C, k2_ordinal4(A)), k1_funct_1(B, k2_ordinal4(A))))  &  ( (! [D] :  ( (v3_ordinal1(D) & m1_subset_1(D, A))  =>  ( ( ~ (D=k1_xboole_0)  => r1_ordinal1(k1_funct_1(C, D), k1_funct_1(B, D)))  =>  ( ~ (k6_ordinal4(A, D)=k1_xboole_0)  => r1_ordinal1(k1_funct_1(C, k6_ordinal4(A, D)), k1_funct_1(B, k6_ordinal4(A, D)))) ) ) )  &  (! [D] :  ( (v3_ordinal1(D) & m1_subset_1(D, A))  =>  ( (v4_ordinal1(D) &  (! [E] :  ( (v3_ordinal1(E) & m1_subset_1(E, A))  =>  (r2_tarski(E, D) =>  ( ~ (E=k1_xboole_0)  => r1_ordinal1(k1_funct_1(C, E), k1_funct_1(B, E))) ) ) ) )  =>  (D=k2_ordinal4(A) |  ( ~ (D=k1_xboole_0)  => r1_ordinal1(k1_funct_1(C, D), k1_funct_1(B, D))) ) ) ) ) ) )  =>  (! [D] :  ( (v3_ordinal1(D) & m1_subset_1(D, A))  =>  ( ~ (D=k1_xboole_0)  => r1_ordinal1(k1_funct_1(C, D), k1_funct_1(B, D))) ) ) ) ) ) ).
fof(s6_funct_1__e4_25__zfrefle1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  &  (v1_relat_1(B) &  (v2_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_zf_refle(B, A)) ) ) ) ) )  =>  ( (! [C] :  ~ ( (r2_hidden(C, k8_zf_lang) &  (! [D] :  ~ ( (r2_hidden(D, k9_funct_2(k2_ordinal1(A), k2_ordinal1(A))) &  (? [E] :  ( (v1_zf_lang(E) & m2_finseq_1(E, k4_ordinal1))  &  (? [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  &  (C=E &  (D=F &  (v2_ordinal2(F) &  (v3_ordinal2(F) &  (! [G] :  ( (v3_ordinal1(G) & m1_subset_1(G, A))  =>  (k4_ordinal4(A, F, G)=G =>  (k1_xboole_0=G |  (! [H] :  ( (v1_funct_1(H) &  (v1_funct_2(H, k1_zf_lang, k5_zf_refle(A, B, G)) & m1_subset_1(H, k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang, k5_zf_refle(A, B, G))))) )  =>  (r1_zf_model(k4_zf_refle(A, B), k1_zf_lang1(k1_zf_lang, k5_zf_refle(A, B, G), k4_zf_refle(A, B), H), E) <=> r1_zf_model(k5_zf_refle(A, B, G), H, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (? [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  &  (k9_xtuple_0(C)=k8_zf_lang &  (r1_tarski(k10_xtuple_0(C), k9_funct_2(k2_ordinal1(A), k2_ordinal1(A))) &  (! [D] :  (r2_hidden(D, k8_zf_lang) =>  (? [I] :  ( (v1_zf_lang(I) & m2_finseq_1(I, k4_ordinal1))  &  (? [J] :  ( (v1_funct_1(J) &  (v1_funct_2(J, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(J, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  &  (D=I &  (k1_funct_1(C, D)=J &  (v2_ordinal2(J) &  (v3_ordinal2(J) &  (! [K] :  ( (v3_ordinal1(K) & m1_subset_1(K, A))  =>  (k4_ordinal4(A, J, K)=K =>  (k1_xboole_0=K |  (! [L] :  ( (v1_funct_1(L) &  (v1_funct_2(L, k1_zf_lang, k5_zf_refle(A, B, K)) & m1_subset_1(L, k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang, k5_zf_refle(A, B, K))))) )  =>  (r1_zf_model(k4_zf_refle(A, B), k1_zf_lang1(k1_zf_lang, k5_zf_refle(A, B, K), k4_zf_refle(A, B), L), I) <=> r1_zf_model(k5_zf_refle(A, B, K), L, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(spc0_boole, axiom, v1_xboole_0(0)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(t10_ordinal1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_ordinal1(C) =>  ( (r2_tarski(A, B) & r2_tarski(B, C))  => r2_tarski(A, C)) ) ) ) ) ).
fof(t10_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  ( (v2_ordinal2(A) & r2_tarski(B, k9_xtuple_0(A)))  => r1_ordinal1(B, k1_funct_1(A, B))) ) ) ) ) ).
fof(t11_card_1, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r1_ordinal1(k1_card_1(A), k1_card_1(B))) ) ) ).
fof(t12_ordinal1, axiom,  (! [A] :  (v1_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r1_tarski(A, B) & r2_tarski(B, C))  => r2_tarski(A, C)) ) ) ) ) ) ) ).
fof(t134_zf_lang1, axiom, r1_tarski(k8_zf_lang, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))).
fof(t13_zfrefle1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k9_funct_2(k2_ordinal1(A), k2_ordinal1(A))) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k9_funct_2(k2_ordinal1(A), k2_ordinal1(A)))))) )  =>  ~ ( (r2_tarski(k1_card_1(B), k1_card_1(A)) &  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  =>  ~ ( (v2_ordinal2(D) &  (v3_ordinal2(D) &  (k4_ordinal4(A, D, k2_ordinal4(A))=k2_ordinal4(A) &  ( (! [E] :  ( (v3_ordinal1(E) & m1_subset_1(E, A))  => k4_ordinal4(A, D, k6_ordinal4(A, E))=k3_ordinal2(k2_xboole_0(k1_classes2(A, k4_ordinal4(A, D, E)), k7_relat_1(k13_funct_5(B, k2_ordinal1(A), k2_ordinal1(A), C), k2_zfmisc_1(B, k1_classes2(A, k6_ordinal4(A, E))))))) )  &  (! [E] :  ( (v3_ordinal1(E) & m1_subset_1(E, A))  =>  (v4_ordinal1(E) =>  (E=k2_ordinal4(A) | k4_ordinal4(A, D, E)=k4_ordinal2(k5_relat_1(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t15_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (v2_ordinal2(A) => v2_ordinal2(k5_relat_1(A, B))) ) ) ) ) ).
fof(t16_zf_refle, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( (v3_ordinal1(B) & m1_subset_1(B, A))  =>  (! [C] :  ( (v1_relat_1(C) &  (v2_relat_1(C) &  (v5_relat_1(C, A) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_zf_refle(C, A)) ) ) ) )  => r1_tarski(k5_zf_refle(A, C, B), k4_zf_refle(A, C))) ) ) ) ) ) ).
fof(t19_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (r2_tarski(A, B) => r2_tarski(A, k3_ordinal2(B))) ) ) ) ).
fof(t1_boole, axiom,  (! [A] : k2_xboole_0(A, k1_xboole_0)=A) ).
fof(t1_classes2, axiom,  (! [A] :  (! [B] :  ( (v1_classes1(B) & r2_tarski(A, B))  =>  ( ~ (r3_tarski(A, B))  & r2_tarski(k1_card_1(A), k1_card_1(B))) ) ) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t20_zf_refle, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_zf_refle(B, A)) ) ) ) )  =>  ( (r2_tarski(k4_ordinal1, A) &  ( (! [C] :  ( (v3_ordinal1(C) & m1_subset_1(C, A))  =>  (! [D] :  ( (v3_ordinal1(D) & m1_subset_1(D, A))  =>  (r2_tarski(C, D) => r1_tarski(k5_zf_refle(A, B, C), k5_zf_refle(A, B, D))) ) ) ) )  &  (! [C] :  ( (v3_ordinal1(C) & m1_subset_1(C, A))  =>  (v4_ordinal1(C) =>  (C=k1_xboole_0 | k5_zf_refle(A, B, C)=k3_card_3(k5_relat_1(B, C))) ) ) ) ) )  =>  (! [C] :  ( (v1_zf_lang(C) & m2_finseq_1(C, k4_ordinal1))  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  &  (v2_ordinal2(D) &  (v3_ordinal2(D) &  (! [E] :  ( (v3_ordinal1(E) & m1_subset_1(E, A))  =>  (k4_ordinal4(A, D, E)=E =>  (k1_xboole_0=E |  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, k1_zf_lang, k5_zf_refle(A, B, E)) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(k1_zf_lang, k5_zf_refle(A, B, E))))) )  =>  (r1_zf_model(k4_zf_refle(A, B), k1_zf_lang1(k1_zf_lang, k5_zf_refle(A, B, E), k4_zf_refle(A, B), F), C) <=> r1_zf_model(k5_zf_refle(A, B, E), F, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ~ ( (r2_tarski(A, k3_ordinal2(B)) &  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, B) & r1_ordinal1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t28_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v4_ordinal1(A) <=>  (! [B] :  (v3_ordinal1(B) =>  (r2_tarski(B, A) => r2_tarski(k1_ordinal1(B), A)) ) ) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t34_ordinal4, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( (v3_ordinal1(B) & m1_subset_1(B, A))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_ordinal1(A), k2_ordinal1(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_ordinal1(A), k2_ordinal1(A))))) )  => r2_tarski(B, k9_xtuple_0(C))) ) ) ) ) ) ).
fof(t38_funct_5, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( (v1_relat_1(D) & v1_funct_1(D))  =>  ( (r2_hidden(A, k9_xtuple_0(C)) &  (D=k1_funct_1(C, A) & r2_hidden(B, k9_xtuple_0(D))) )  =>  (r2_hidden(k4_tarski(A, B), k9_xtuple_0(k2_funct_5(C))) &  (k1_binop_1(k2_funct_5(C), A, B)=k1_funct_1(D, B) & r2_tarski(k1_funct_1(D, B), k10_xtuple_0(k2_funct_5(C)))) ) ) ) ) ) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t47_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(B, k9_xtuple_0(k5_relat_1(C, A))) => k1_funct_1(k5_relat_1(C, A), B)=k1_funct_1(C, B)) ) ) ) ) ).
fof(t4_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  ( (r1_tarski(k9_xtuple_0(C), A) & r1_tarski(k10_xtuple_0(C), B))  => m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(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(t4_zf_lang, axiom,  (! [A] :  ( (v1_zf_lang(A) & m2_finseq_1(A, k4_ordinal1))  <=> r2_tarski(A, k8_zf_lang)) ) ).
fof(t50_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  ( (r2_hidden(B, k9_xtuple_0(C)) & r2_hidden(B, A))  => r2_tarski(k1_funct_1(C, B), k10_xtuple_0(k5_relat_1(C, A)))) ) ) ) ) ).
fof(t59_classes2, axiom,  (! [A] :  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_classes2(B))  =>  (r2_tarski(A, B) =>  (r2_tarski(k9_setfam_1(A), B) &  (r2_tarski(k3_tarski(A), B) & r2_tarski(k1_setfam_1(A), 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(t61_classes2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v1_xboole_0(C))  & v1_classes2(C))  =>  ( (r2_tarski(A, C) & r2_tarski(B, C))  =>  (r2_tarski(k2_zfmisc_1(A, B), C) & r2_tarski(k1_funct_2(A, B), 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_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t6_ordinal1, axiom,  (! [A] : r2_tarski(A, k1_ordinal1(A))) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_zf_refle, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_classes2(A))  =>  (! [B] :  ( (v3_ordinal1(B) & m1_subset_1(B, A))  <=> r2_tarski(B, k2_ordinal1(A))) ) ) ) ).
fof(t87_zfmisc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), k2_zfmisc_1(A, B)) <=>  (r2_hidden(C, A) & r2_hidden(D, B)) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_ordinal4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  =>  ( (v4_ordinal1(k9_xtuple_0(A)) & v2_ordinal2(A))  =>  (k9_xtuple_0(A)=k1_xboole_0 |  (r1_ordinal2(k4_ordinal2(A), A) & k8_ordinal2(A)=k4_ordinal2(A)) ) ) ) ) ).
