% Mizar problem: t30_valuat_1,valuat_1,1257,5 
fof(t30_valuat_1, conjecture,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [G] :  (m1_valuat_1(G, A, B) =>  (! [H] :  (m1_subset_1(H, k9_qc_lang1(A)) =>  ( (E=k13_cqc_lang(A, H, C) & F=k13_cqc_lang(A, H, D))  =>  (C=D |  (! [I] :  (m2_funct_2(I, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (k3_funct_2(k3_qc_lang1(A), B, I, C)=k3_funct_2(k3_qc_lang1(A), B, I, D) => k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, G, E), I)=k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, G, F), I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_funct_2(C, A, B) => v4_funct_1(C)) ) ) ).
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_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_partfun1(C, A) => v1_funct_2(C, A, B)) ) ) ) ).
fof(cc1_margrel1, axiom,  (! [A] :  (v1_xboole_0(A) => v2_card_3(A)) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (v1_relat_1(A) &  ~ (v1_xboole_0(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(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_funct_2, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc2_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) => v1_xboolean(A)) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
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_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_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc3_margrel1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))) =>  ( (v1_funct_1(B) & v1_funct_2(B, A, k5_margrel1))  =>  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & v1_margrel1(B)) ) ) ) ) ) ).
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_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_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_funct_2(B, A, A) => v1_partfun1(B, 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_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_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) =>  (v1_funct_2(B, k2_zfmisc_1(A, A), A) => v1_partfun1(B, k2_zfmisc_1(A, A))) ) ) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(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_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_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ) ).
fof(cc9_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_funct_1(B)) ) ) ) ).
fof(cc9_funct_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(commutativity_k13_margrel1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  => k13_margrel1(A, B)=k13_margrel1(B, A)) ) ).
fof(commutativity_k15_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k15_margrel1(A, B, C)=k15_margrel1(A, C, B)) ) ).
fof(commutativity_k3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
fof(commutativity_k4_xboolean, axiom,  (! [A, B] :  ( (v1_xboolean(A) & v1_xboolean(B))  => k4_xboolean(A, B)=k4_xboolean(B, A)) ) ).
fof(commutativity_k9_margrel1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k9_margrel1(A, B)=k9_margrel1(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(d18_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v2_qc_lang1(B, A) <=>  (? [C] :  (v7_ordinal1(C) &  (? [D] :  (m2_subset_1(D, k6_qc_lang1(A), k8_qc_lang1(A, C)) &  (? [E] :  ( (v3_card_1(E, C) & m2_finseq_1(E, k2_qc_lang1(A)))  & B=k10_qc_lang1(A, D, E)) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_valuat_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] : k1_valuat_1(A, B)=k1_funct_2(k3_qc_lang1(A), B)) ) ) ).
fof(d1_xboolean, axiom, k1_xboolean=k5_numbers).
fof(d21_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v5_qc_lang1(B, A) <=>  (? [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) &  (? [D] :  (m1_subset_1(D, k9_qc_lang1(A)) & B=k15_qc_lang1(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d27_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (v5_qc_lang1(B, A) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (C=k21_qc_lang1(A, B) <=>  (? [D] :  (m1_subset_1(D, k9_qc_lang1(A)) & B=k15_qc_lang1(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d2_xboolean, axiom, k2_xboolean=1).
fof(d3_valuat_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( (v5_relat_1(D, k3_qc_lang1(A)) &  (v3_card_1(D, C) & m2_finseq_1(D, k2_qc_lang1(A))) )  =>  (! [E] :  (m2_funct_2(E, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (! [F] :  (m2_finseq_1(F, B) =>  (F=k4_valuat_1(A, B, C, D, E) <=>  (k3_finseq_1(F)=C &  (! [G] :  (v7_ordinal1(G) =>  ( (r1_xxreal_0(1, G) & r1_xxreal_0(G, C))  => k1_funct_1(F, G)=k1_funct_1(E, k1_funct_1(D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_xboolean, axiom,  (! [A] :  (v1_xboolean(A) <=>  (A=k1_xboolean | A=k2_xboolean) ) ) ).
fof(d4_xboolean, axiom,  (! [A] :  (v1_xboolean(A) => k3_xboolean(A)=k6_xcmplx_0(1, A)) ) ).
fof(d5_xboolean, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k4_xboolean(A, B)=k3_xcmplx_0(A, B)) ) ) ) ).
fof(d7_card_1, axiom,  (! [A] :  (! [B] :  (v3_card_1(B, A) <=> k1_card_1(B)=A) ) ) ).
fof(dt_k10_qc_lang1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k6_qc_lang1(A)) & m1_finseq_1(C, k2_qc_lang1(A))) )  => m1_subset_1(k10_qc_lang1(A, B, C), k9_qc_lang1(A))) ) ).
fof(dt_k11_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_qc_lang1(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => m2_subset_1(k11_cqc_lang(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(dt_k12_margrel1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  =>  (v1_relat_1(k12_margrel1(A)) &  (v1_funct_1(k12_margrel1(A)) & v1_margrel1(k12_margrel1(A))) ) ) ) ).
fof(dt_k12_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k12_qc_lang1(A), k9_qc_lang1(A))) ) ).
fof(dt_k13_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k9_qc_lang1(A)) & m1_subset_1(C, k3_qc_lang1(A))) )  => m1_subset_1(k13_cqc_lang(A, B, C), k9_qc_lang1(A))) ) ).
fof(dt_k13_margrel1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  =>  (v1_relat_1(k13_margrel1(A, B)) &  (v1_funct_1(k13_margrel1(A, B)) & v1_margrel1(k13_margrel1(A, B))) ) ) ) ).
fof(dt_k13_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k13_qc_lang1(A, B), k9_qc_lang1(A))) ) ).
fof(dt_k14_margrel1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  =>  (v1_funct_1(k14_margrel1(A, B)) &  (v1_funct_2(k14_margrel1(A, B), A, k5_margrel1) & m1_subset_1(k14_margrel1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(dt_k14_qc_lang1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k9_qc_lang1(A)) & m1_subset_1(C, k9_qc_lang1(A))) )  => m1_subset_1(k14_qc_lang1(A, B, C), k9_qc_lang1(A))) ) ).
fof(dt_k15_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  =>  (v1_funct_1(k15_margrel1(A, B, C)) &  (v1_funct_2(k15_margrel1(A, B, C), A, k5_margrel1) & m1_subset_1(k15_margrel1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(dt_k15_qc_lang1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_qc_lang1(A)) & m1_subset_1(C, k9_qc_lang1(A))) )  => m1_subset_1(k15_qc_lang1(A, B, C), k9_qc_lang1(A))) ) ).
fof(dt_k17_funcop_1, axiom, $true).
fof(dt_k18_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k18_qc_lang1(A, B), k9_qc_lang1(A))) ) ).
fof(dt_k19_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k19_qc_lang1(A, B), k9_qc_lang1(A))) ) ).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
fof(dt_k1_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_finseq_1(B, k2_qc_lang1(A)) &  (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k5_qc_lang1(A), k2_qc_lang1(A))))) ) )  => m2_finseq_1(k1_cqc_lang(A, B, C), k2_qc_lang1(A))) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_funct_2, axiom, $true).
fof(dt_k1_valuat_1, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_xboolean, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k20_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k20_qc_lang1(A, B), k9_qc_lang1(A))) ) ).
fof(dt_k21_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m2_subset_1(k21_qc_lang1(A, B), k2_qc_lang1(A), k3_qc_lang1(A))) ) ).
fof(dt_k22_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k22_qc_lang1(A, B), k9_qc_lang1(A))) ) ).
fof(dt_k2_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k5_qc_lang1(A)) & m1_subset_1(C, k3_qc_lang1(A))) )  =>  (v1_funct_1(k2_cqc_lang(A, B, C)) & m1_subset_1(k2_cqc_lang(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k5_qc_lang1(A), k2_qc_lang1(A))))) ) ) ).
fof(dt_k2_funcop_1, axiom, $true).
fof(dt_k2_margrel1, axiom, $true).
fof(dt_k2_qc_lang1, axiom, $true).
fof(dt_k2_valuat_1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  ~ (v1_xboole_0(B)) )  => m1_funct_2(k2_valuat_1(A, B), k3_qc_lang1(A), B)) ) ).
fof(dt_k2_xboolean, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k3_cqc_lang(A), k1_zfmisc_1(k9_qc_lang1(A)))) ) ).
fof(dt_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k3_finseq_1(A), k4_ordinal1)) ) ).
fof(dt_k3_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_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k3_qc_lang1(A), k1_zfmisc_1(k2_qc_lang1(A)))) ) ).
fof(dt_k3_qc_lang3, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & v7_ordinal1(B))  => m2_subset_1(k3_qc_lang3(A, B), k2_qc_lang1(A), k5_qc_lang1(A))) ) ).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_valuat_1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k3_qc_lang1(A)) & m1_subset_1(D, k9_funct_2(k2_valuat_1(A, B), k5_margrel1))) ) )  => m2_funct_2(k3_valuat_1(A, B, C, D), k2_valuat_1(A, B), k5_margrel1, k9_funct_2(k2_valuat_1(A, B), k5_margrel1))) ) ).
fof(dt_k3_xboolean, axiom,  (! [A] :  (v1_xboolean(A) => v1_xboolean(k3_xboolean(A))) ) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_cqc_lang, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (m1_qc_lang1(B) &  (m1_subset_1(C, k8_qc_lang1(B, A)) &  (v5_relat_1(D, k3_qc_lang1(B)) &  (v3_card_1(D, A) & m1_finseq_1(D, k2_qc_lang1(B))) ) ) ) )  => m2_subset_1(k4_cqc_lang(A, B, C, D), k9_qc_lang1(B), k3_cqc_lang(B))) ) ).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k4_qc_lang1(A), k1_zfmisc_1(k2_qc_lang1(A)))) ) ).
fof(dt_k4_valuat_1, axiom,  (! [A, B, C, D, E] :  ( (m1_qc_lang1(A) &  ( ~ (v1_xboole_0(B))  &  (v7_ordinal1(C) &  ( (v5_relat_1(D, k3_qc_lang1(A)) &  (v3_card_1(D, C) & m1_finseq_1(D, k2_qc_lang1(A))) )  & m1_subset_1(E, k2_valuat_1(A, B))) ) ) )  => m2_finseq_1(k4_valuat_1(A, B, C, D, E), B)) ) ).
fof(dt_k4_xboolean, axiom, $true).
fof(dt_k5_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) => m2_subset_1(k5_cqc_lang(A), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(dt_k5_margrel1, axiom, $true).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) => m1_subset_1(k5_qc_lang1(A), k1_zfmisc_1(k2_qc_lang1(A)))) ) ).
fof(dt_k5_valuat_1, axiom,  (! [A, B, C, D, E] :  ( (m1_qc_lang1(A) &  ( ~ (v1_xboole_0(B))  &  (v7_ordinal1(C) &  ( (v5_relat_1(D, k3_qc_lang1(A)) &  (v3_card_1(D, C) & m1_finseq_1(D, k2_qc_lang1(A))) )  & m1_subset_1(E, k2_margrel1(B))) ) ) )  => m2_funct_2(k5_valuat_1(A, B, C, D, E), k2_valuat_1(A, B), k5_margrel1, k9_funct_2(k2_valuat_1(A, B), k5_margrel1))) ) ).
fof(dt_k6_cqc_lang, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => m2_subset_1(k6_cqc_lang(A, B), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(dt_k6_margrel1, axiom, m1_subset_1(k6_margrel1, k5_margrel1)).
fof(dt_k6_qc_lang1, axiom, $true).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => m2_subset_1(k7_cqc_lang(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
fof(dt_k7_margrel1, axiom, m1_subset_1(k7_margrel1, k5_margrel1)).
fof(dt_k7_valuat_1, axiom,  (! [A, B, C, D, E] :  ( (m1_qc_lang1(A) &  ( ~ (v1_xboole_0(B))  &  (v7_ordinal1(C) &  (m1_valuat_1(D, A, B) & m1_subset_1(E, k8_qc_lang1(A, C))) ) ) )  => m1_subset_1(k7_valuat_1(A, B, C, D, E), k2_margrel1(B))) ) ).
fof(dt_k8_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  =>  (v1_funct_1(k8_funcop_1(A, B, C)) &  (v1_funct_2(k8_funcop_1(A, B, C), B, A) & m1_subset_1(k8_funcop_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ).
fof(dt_k8_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) => m1_subset_1(k8_margrel1(A), k5_margrel1)) ) ).
fof(dt_k8_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & v7_ordinal1(B))  => m1_subset_1(k8_qc_lang1(A, B), k1_zfmisc_1(k6_qc_lang1(A)))) ) ).
fof(dt_k8_valuat_1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  ( ~ (v1_xboole_0(B))  &  (m1_valuat_1(C, A, B) & m1_subset_1(D, k3_cqc_lang(A))) ) )  => m2_funct_2(k8_valuat_1(A, B, C, D), k2_valuat_1(A, B), k5_margrel1, k9_funct_2(k2_valuat_1(A, B), k5_margrel1))) ) ).
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_margrel1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => m1_subset_1(k9_margrel1(A, B), k5_margrel1)) ) ).
fof(dt_k9_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k9_qc_lang1(A))) ) ) ).
fof(dt_m1_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(dt_m1_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_funct_2(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ).
fof(dt_m1_qc_lang1, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m1_valuat_1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_valuat_1(C, A, B) =>  (v1_funct_1(C) &  (v1_funct_2(C, k6_qc_lang1(A), k2_margrel1(B)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k6_qc_lang1(A), k2_margrel1(B))))) ) ) ) ) ) ).
fof(dt_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (v1_funct_1(B) &  (v1_finseq_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ) ).
fof(dt_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (! [D] :  (m2_funct_2(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ).
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_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_qc_lang1, axiom,  (? [A] : m1_qc_lang1(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m1_valuat_1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  ~ (v1_xboole_0(B)) )  =>  (? [C] : m1_valuat_1(C, A, B)) ) ) ).
fof(existence_m2_finseq_1, axiom,  (! [A] :  (? [B] : m2_finseq_1(B, A)) ) ).
fof(existence_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (? [D] : m2_funct_2(D, A, B, C)) ) ) ).
fof(existence_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (? [C] : m2_subset_1(C, A, B)) ) ) ).
fof(fc10_funct_2, axiom,  (! [A, B] : v4_funct_1(k1_funct_2(A, B))) ).
fof(fc12_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v9_ordinal1(A))  & v1_relat_1(B))  =>  (v1_relat_1(k3_relat_1(B, A)) & v9_ordinal1(k3_relat_1(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(fc1_cqc_lang, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (v7_ordinal1(B) &  ( (v3_card_1(C, B) & m1_finseq_1(C, k2_qc_lang1(A)))  &  (v1_funct_1(D) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k5_qc_lang1(A), k2_qc_lang1(A))))) ) ) )  => v3_card_1(k1_cqc_lang(A, C, D), B)) ) ).
fof(fc1_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  ~ (v1_xboole_0(k1_funct_2(A, B))) ) ) ).
fof(fc1_margrel1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_margrel1(A))) ) ) ).
fof(fc1_valuat_1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  ~ (v1_xboole_0(B)) )  =>  (v4_funct_1(k1_valuat_1(A, B)) &  ~ (v1_xboole_0(k1_valuat_1(A, B))) ) ) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc2_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k3_cqc_lang(A))) ) ) ).
fof(fc2_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc2_funct_2, axiom,  (! [A] :  ~ (v1_xboole_0(k1_funct_2(A, A))) ) ).
fof(fc2_margrel1, axiom,  ~ (v1_xboole_0(k5_margrel1)) ).
fof(fc2_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k2_qc_lang1(A))) ) ) ).
fof(fc3_funct_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  => v1_xboole_0(k1_funct_2(A, B))) ) ).
fof(fc3_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k3_qc_lang1(A))) ) ) ).
fof(fc4_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v1_funct_1(k3_relat_1(D, C)) & v1_funct_2(k3_relat_1(D, C), A, B)) ) ) ).
fof(fc4_margrel1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  => v1_xboolean(k1_funct_1(A, B))) ) ).
fof(fc4_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k4_qc_lang1(A))) ) ) ).
fof(fc5_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  &  (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(k3_relat_1(D, C)) & v1_funct_2(k3_relat_1(D, C), A, B)) ) ) ).
fof(fc5_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k5_qc_lang1(A))) ) ) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k6_qc_lang1(A))) ) ) ).
fof(fc7_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_funct_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc7_qc_lang1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_qc_lang1(B))  =>  ~ (v1_xboole_0(k8_qc_lang1(B, A))) ) ) ).
fof(fc8_funct_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (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(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) )  =>  (v1_funct_1(k3_relat_1(D, E)) & v1_funct_2(k3_relat_1(D, E), A, C)) ) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fraenkel_a_3_0_cqc_lang, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, C) & m2_finseq_1(D, k2_qc_lang1(B))) ) )  =>  (r2_hidden(A, a_3_0_cqc_lang(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (A=k1_funct_1(D, E) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(D)) & r2_tarski(k1_funct_1(D, E), k5_qc_lang1(B))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_1_cqc_lang, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, C) & m2_finseq_1(D, k2_qc_lang1(B))) ) )  =>  (r2_hidden(A, a_3_1_cqc_lang(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (A=k1_funct_1(D, E) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(D)) & r2_tarski(k1_funct_1(D, E), k4_qc_lang1(B))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_valuat_1, axiom,  (! [A, B, C, D, E] :  ( (m1_qc_lang1(B) &  (v7_ordinal1(C) &  ( (v3_card_1(D, C) & m2_finseq_1(D, k2_qc_lang1(B)))  & m2_subset_1(E, k2_qc_lang1(B), k3_qc_lang1(B))) ) )  =>  (r2_hidden(A, a_4_0_valuat_1(B, C, D, E)) <=>  (? [F] :  (v7_ordinal1(F) &  (A=k1_funct_1(k1_cqc_lang(B, D, k2_cqc_lang(B, k3_qc_lang3(B, k5_numbers), E)), F) &  (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, k3_finseq_1(k1_cqc_lang(B, D, k2_cqc_lang(B, k3_qc_lang3(B, k5_numbers), E)))) & r2_tarski(k1_funct_1(k1_cqc_lang(B, D, k2_cqc_lang(B, k3_qc_lang3(B, k5_numbers), E)), F), k5_qc_lang1(B))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_1_valuat_1, axiom,  (! [A, B, C, D, E] :  ( (m1_qc_lang1(B) &  (v7_ordinal1(C) &  ( (v3_card_1(D, C) & m2_finseq_1(D, k2_qc_lang1(B)))  & m2_subset_1(E, k2_qc_lang1(B), k3_qc_lang1(B))) ) )  =>  (r2_hidden(A, a_4_1_valuat_1(B, C, D, E)) <=>  (? [F] :  (v7_ordinal1(F) &  (A=k1_funct_1(k1_cqc_lang(B, D, k2_cqc_lang(B, k3_qc_lang3(B, k5_numbers), E)), F) &  (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, k3_finseq_1(k1_cqc_lang(B, D, k2_cqc_lang(B, k3_qc_lang3(B, k5_numbers), E)))) & r2_tarski(k1_funct_1(k1_cqc_lang(B, D, k2_cqc_lang(B, k3_qc_lang3(B, k5_numbers), E)), F), k4_qc_lang1(B))) ) ) ) ) ) ) ) ).
fof(idempotence_k13_margrel1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  => k13_margrel1(A, A)=A) ) ).
fof(idempotence_k15_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k15_margrel1(A, B, B)=B) ) ).
fof(idempotence_k4_xboolean, axiom,  (! [A, B] :  ( (v1_xboolean(A) & v1_xboolean(B))  => k4_xboolean(A, A)=A) ) ).
fof(idempotence_k9_margrel1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k9_margrel1(A, A)=A) ) ).
fof(involutiveness_k12_margrel1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  => k12_margrel1(k12_margrel1(A))=A) ) ).
fof(involutiveness_k14_margrel1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k14_margrel1(A, k14_margrel1(A, B))=B) ) ).
fof(involutiveness_k3_xboolean, axiom,  (! [A] :  (v1_xboolean(A) => k3_xboolean(k3_xboolean(A))=A) ) ).
fof(involutiveness_k8_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) => k8_margrel1(k8_margrel1(A))=A) ) ).
fof(l10_valuat_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m1_valuat_1(D, A, C) =>  (r2_funct_2(k2_valuat_1(A, C), k5_margrel1, k8_valuat_1(A, C, D, k5_cqc_lang(A)), k8_funcop_1(k5_margrel1, k2_valuat_1(A, C), k7_margrel1)) &  ( (! [E] :  (v7_ordinal1(E) =>  (! [F] :  ( (v5_relat_1(F, k3_qc_lang1(A)) &  (v3_card_1(F, E) & m2_finseq_1(F, k2_qc_lang1(A))) )  =>  (! [G] :  (m2_subset_1(G, k6_qc_lang1(A), k8_qc_lang1(A, E)) => r2_funct_2(k2_valuat_1(A, C), k5_margrel1, k8_valuat_1(A, C, D, k4_cqc_lang(E, A, G, F)), k5_valuat_1(A, C, E, F, k7_valuat_1(A, C, E, D, G)))) ) ) ) ) )  &  ( (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_funct_2(k2_valuat_1(A, C), k5_margrel1, k8_valuat_1(A, C, D, k6_cqc_lang(A, E)), k14_margrel1(k2_valuat_1(A, C), k8_valuat_1(A, C, D, E)))) )  &  ( (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_funct_2(k2_valuat_1(A, C), k5_margrel1, k8_valuat_1(A, C, D, k7_cqc_lang(A, B, E)), k15_margrel1(k2_valuat_1(A, C), k8_valuat_1(A, C, D, B), k8_valuat_1(A, C, D, E)))) )  &  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) => r2_funct_2(k2_valuat_1(A, C), k5_margrel1, k8_valuat_1(A, C, D, k11_cqc_lang(A, E, B)), k3_valuat_1(A, C, E, k8_valuat_1(A, C, D, B)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(projectivity_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(k3_finseq_1(A))=k3_finseq_1(A)) ) ).
fof(rc10_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_cqc_lang, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & v7_ordinal1(B))  =>  (? [C] :  (m1_finseq_1(C, k2_qc_lang1(A)) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k2_qc_lang1(A)) &  (v5_relat_1(C, k3_qc_lang1(A)) &  (v1_funct_1(C) &  (v3_card_1(C, B) & v1_finseq_1(C)) ) ) ) ) ) ) ) ) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(rc1_funct_2, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(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_xboole_0, axiom,  (? [A] : v1_xboole_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_margrel1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) ) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(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_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_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(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(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_k11_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_qc_lang1(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => k11_cqc_lang(A, B, C)=k15_qc_lang1(A, B, C)) ) ).
fof(redefinition_k14_margrel1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) )  => k14_margrel1(A, B)=k12_margrel1(B)) ) ).
fof(redefinition_k15_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k15_margrel1(A, B, C)=k13_margrel1(B, C)) ) ).
fof(redefinition_k2_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k5_qc_lang1(A)) & m1_subset_1(C, k3_qc_lang1(A))) )  => k2_cqc_lang(A, B, C)=k17_funcop_1(B, C)) ) ).
fof(redefinition_k2_valuat_1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  ~ (v1_xboole_0(B)) )  => k2_valuat_1(A, B)=k1_valuat_1(A, B)) ) ).
fof(redefinition_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(A)=k1_card_1(A)) ) ).
fof(redefinition_k3_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_k4_cqc_lang, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (m1_qc_lang1(B) &  (m1_subset_1(C, k8_qc_lang1(B, A)) &  (v5_relat_1(D, k3_qc_lang1(B)) &  (v3_card_1(D, A) & m1_finseq_1(D, k2_qc_lang1(B))) ) ) ) )  => k4_cqc_lang(A, B, C, D)=k10_qc_lang1(B, C, D)) ) ).
fof(redefinition_k4_valuat_1, axiom,  (! [A, B, C, D, E] :  ( (m1_qc_lang1(A) &  ( ~ (v1_xboole_0(B))  &  (v7_ordinal1(C) &  ( (v5_relat_1(D, k3_qc_lang1(A)) &  (v3_card_1(D, C) & m1_finseq_1(D, k2_qc_lang1(A))) )  & m1_subset_1(E, k2_valuat_1(A, B))) ) ) )  => k4_valuat_1(A, B, C, D, E)=k3_relat_1(D, E)) ) ).
fof(redefinition_k5_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) => k5_cqc_lang(A)=k12_qc_lang1(A)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k6_cqc_lang, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => k6_cqc_lang(A, B)=k13_qc_lang1(A, B)) ) ).
fof(redefinition_k6_margrel1, axiom, k6_margrel1=k1_xboolean).
fof(redefinition_k7_cqc_lang, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) & m1_subset_1(C, k3_cqc_lang(A))) )  => k7_cqc_lang(A, B, C)=k14_qc_lang1(A, B, C)) ) ).
fof(redefinition_k7_margrel1, axiom, k7_margrel1=k2_xboolean).
fof(redefinition_k7_valuat_1, axiom,  (! [A, B, C, D, E] :  ( (m1_qc_lang1(A) &  ( ~ (v1_xboole_0(B))  &  (v7_ordinal1(C) &  (m1_valuat_1(D, A, B) & m1_subset_1(E, k8_qc_lang1(A, C))) ) ) )  => k7_valuat_1(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(redefinition_k8_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => k8_funcop_1(A, B, C)=k2_funcop_1(B, C)) ) ).
fof(redefinition_k8_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) => k8_margrel1(A)=k3_xboolean(A)) ) ).
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_margrel1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k5_margrel1) & m1_subset_1(B, k5_margrel1))  => k9_margrel1(A, B)=k4_xboolean(A, B)) ) ).
fof(redefinition_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) <=> m1_finseq_1(B, A)) ) ) ).
fof(redefinition_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (! [D] :  (m2_funct_2(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(redefinition_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(redefinition_r1_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k2_margrel1(A)) & m1_subset_1(C, k2_margrel1(A))) )  =>  (r1_margrel1(A, B, C) <=> B=C) ) ) ).
fof(redefinition_r2_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (r2_funct_2(A, B, C, D) <=> C=D) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k2_margrel1(A)) & m1_subset_1(C, k2_margrel1(A))) )  => r1_margrel1(A, B, 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(reflexivity_r2_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => r2_funct_2(A, B, C, C)) ) ).
fof(s2_qc_lang1__e2_37__valuat_1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( ~ (v1_xboole_0(B))  & m1_valuat_1(C, A, B)) )  =>  ( (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  ( (v2_qc_lang1(D, A) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F] :  (m2_subset_1(F, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [G] :  (m2_subset_1(G, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [H] :  (m2_subset_1(H, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (G=k13_cqc_lang(A, D, E) & H=k13_cqc_lang(A, D, F))  =>  (E=F |  (! [I] :  (m2_funct_2(I, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (k3_funct_2(k3_qc_lang1(A), B, I, E)=k3_funct_2(k3_qc_lang1(A), B, I, F) => k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, G), I)=k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, H), I)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [J] :  (m2_subset_1(J, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [K] :  (m2_subset_1(K, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [L] :  (m2_subset_1(L, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [M] :  (m2_subset_1(M, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (L=k13_cqc_lang(A, k12_qc_lang1(A), J) & M=k13_cqc_lang(A, k12_qc_lang1(A), K))  =>  (J=K |  (! [N] :  (m2_funct_2(N, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (k3_funct_2(k3_qc_lang1(A), B, N, J)=k3_funct_2(k3_qc_lang1(A), B, N, K) => k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, L), N)=k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, M), N)) ) ) ) ) ) ) ) ) ) ) ) )  &  ( ( (v3_qc_lang1(D, A) &  (! [O] :  (m2_subset_1(O, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [P] :  (m2_subset_1(P, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [Q] :  (m2_subset_1(Q, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [R] :  (m2_subset_1(R, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (Q=k13_cqc_lang(A, k18_qc_lang1(A, D), O) & R=k13_cqc_lang(A, k18_qc_lang1(A, D), P))  =>  (O=P |  (! [S] :  (m2_funct_2(S, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (k3_funct_2(k3_qc_lang1(A), B, S, O)=k3_funct_2(k3_qc_lang1(A), B, S, P) => k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, Q), S)=k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, R), S)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [T] :  (m2_subset_1(T, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [U] :  (m2_subset_1(U, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [V] :  (m2_subset_1(V, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [W] :  (m2_subset_1(W, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (V=k13_cqc_lang(A, D, T) & W=k13_cqc_lang(A, D, U))  =>  (T=U |  (! [X] :  (m2_funct_2(X, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (k3_funct_2(k3_qc_lang1(A), B, X, T)=k3_funct_2(k3_qc_lang1(A), B, X, U) => k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, V), X)=k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, W), X)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( ( (v4_qc_lang1(D, A) &  ( (! [Y] :  (m2_subset_1(Y, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [Z] :  (m2_subset_1(Z, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [A1] :  (m2_subset_1(A1, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [B1] :  (m2_subset_1(B1, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (A1=k13_cqc_lang(A, k19_qc_lang1(A, D), Y) & B1=k13_cqc_lang(A, k19_qc_lang1(A, D), Z))  =>  (Y=Z |  (! [C1] :  (m2_funct_2(C1, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (k3_funct_2(k3_qc_lang1(A), B, C1, Y)=k3_funct_2(k3_qc_lang1(A), B, C1, Z) => k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, A1), C1)=k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, B1), C1)) ) ) ) ) ) ) ) ) ) ) ) )  &  (! [D1] :  (m2_subset_1(D1, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E1] :  (m2_subset_1(E1, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [F1] :  (m2_subset_1(F1, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [G1] :  (m2_subset_1(G1, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (F1=k13_cqc_lang(A, k20_qc_lang1(A, D), D1) & G1=k13_cqc_lang(A, k20_qc_lang1(A, D), E1))  =>  (D1=E1 |  (! [H1] :  (m2_funct_2(H1, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (k3_funct_2(k3_qc_lang1(A), B, H1, D1)=k3_funct_2(k3_qc_lang1(A), B, H1, E1) => k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, F1), H1)=k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, G1), H1)) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [I1] :  (m2_subset_1(I1, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [J1] :  (m2_subset_1(J1, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [K1] :  (m2_subset_1(K1, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [L1] :  (m2_subset_1(L1, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (K1=k13_cqc_lang(A, D, I1) & L1=k13_cqc_lang(A, D, J1))  =>  (I1=J1 |  (! [M1] :  (m2_funct_2(M1, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (k3_funct_2(k3_qc_lang1(A), B, M1, I1)=k3_funct_2(k3_qc_lang1(A), B, M1, J1) => k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, K1), M1)=k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, L1), M1)) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (v5_qc_lang1(D, A) &  (! [N1] :  (m2_subset_1(N1, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [O1] :  (m2_subset_1(O1, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [P1] :  (m2_subset_1(P1, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [Q1] :  (m2_subset_1(Q1, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (P1=k13_cqc_lang(A, k22_qc_lang1(A, D), N1) & Q1=k13_cqc_lang(A, k22_qc_lang1(A, D), O1))  =>  (N1=O1 |  (! [R1] :  (m2_funct_2(R1, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (k3_funct_2(k3_qc_lang1(A), B, R1, N1)=k3_funct_2(k3_qc_lang1(A), B, R1, O1) => k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, P1), R1)=k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, Q1), R1)) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [S1] :  (m2_subset_1(S1, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [T1] :  (m2_subset_1(T1, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [U1] :  (m2_subset_1(U1, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [V1] :  (m2_subset_1(V1, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (U1=k13_cqc_lang(A, D, S1) & V1=k13_cqc_lang(A, D, T1))  =>  (S1=T1 |  (! [W1] :  (m2_funct_2(W1, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (k3_funct_2(k3_qc_lang1(A), B, W1, S1)=k3_funct_2(k3_qc_lang1(A), B, W1, T1) => k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, U1), W1)=k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, V1), W1)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_subset_1(D, k9_qc_lang1(A)) =>  (! [X1] :  (m2_subset_1(X1, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [Y1] :  (m2_subset_1(Y1, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [Z1] :  (m2_subset_1(Z1, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [A2] :  (m2_subset_1(A2, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (Z1=k13_cqc_lang(A, D, X1) & A2=k13_cqc_lang(A, D, Y1))  =>  (X1=Y1 |  (! [B2] :  (m2_funct_2(B2, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (k3_funct_2(k3_qc_lang1(A), B, B2, X1)=k3_funct_2(k3_qc_lang1(A), B, B2, Y1) => k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, Z1), B2)=k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, C, A2), B2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(symmetry_r1_margrel1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, k2_margrel1(A)) & m1_subset_1(C, k2_margrel1(A))) )  =>  (r1_margrel1(A, B, C) => r1_margrel1(A, C, B)) ) ) ).
fof(symmetry_r2_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (r2_funct_2(A, B, C, D) => r2_funct_2(A, B, D, C)) ) ) ).
fof(t10_valuat_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_funct_2(C, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m1_valuat_1(E, A, B) => k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, E, k6_cqc_lang(A, D)), C)=k8_margrel1(k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, E, D), C))) ) ) ) ) ) ) ) ) ) ).
fof(t11_margrel1, axiom,  (! [A] :  (v1_xboolean(A) =>  ( (A=k6_margrel1 => k3_xboolean(A)=k7_margrel1)  &  ( (k3_xboolean(A)=k7_margrel1 => A=k6_margrel1)  &  ( (A=k7_margrel1 => k3_xboolean(A)=k6_margrel1)  &  (k3_xboolean(A)=k6_margrel1 => A=k7_margrel1) ) ) ) ) ) ).
fof(t12_margrel1, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) =>  ( (k4_xboolean(A, B)=k7_margrel1 =>  (A=k7_margrel1 & B=k7_margrel1) )  &  ( ( (A=k7_margrel1 & B=k7_margrel1)  => k4_xboolean(A, B)=k7_margrel1)  &  ( ~ ( (k4_xboolean(A, B)=k6_margrel1 &  ( ~ (A=k6_margrel1)  &  ~ (B=k6_margrel1) ) ) )  &  ( (A=k6_margrel1 | B=k6_margrel1)  => k4_xboolean(A, B)=k6_margrel1) ) ) ) ) ) ) ) ).
fof(t12_valuat_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_funct_2(C, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [F] :  (m1_valuat_1(F, A, B) => k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, F, k7_cqc_lang(A, D, E)), C)=k9_margrel1(k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, F, D), C), k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k8_valuat_1(A, B, F, E), C))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t13_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (m2_subset_1(k15_qc_lang1(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A)) <=> m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A))) ) ) ) ) ) ) ).
fof(t14_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  ( (k3_finseq_1(A)=k3_finseq_1(B) &  (! [C] :  (v7_ordinal1(C) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(C, k3_finseq_1(A)))  => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) )  => A=B) ) ) ) ) ).
fof(t15_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) => k13_cqc_lang(A, k5_cqc_lang(A), B)=k5_cqc_lang(A)) ) ) ) ).
fof(t17_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k6_qc_lang1(A), k8_qc_lang1(A, C)) =>  (! [E] :  ( (v3_card_1(E, C) & m2_finseq_1(E, k2_qc_lang1(A)))  => k13_cqc_lang(A, k10_qc_lang1(A, D, E), B)=k10_qc_lang1(A, D, k1_cqc_lang(A, E, k2_cqc_lang(A, k3_qc_lang3(A, k5_numbers), B)))) ) ) ) ) ) ) ) ) ) ).
fof(t18_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (v3_qc_lang1(C, A) => k13_cqc_lang(A, C, B)=k13_qc_lang1(A, k13_cqc_lang(A, k18_qc_lang1(A, C), 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_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (v4_qc_lang1(C, A) => k13_cqc_lang(A, C, B)=k14_qc_lang1(A, k13_cqc_lang(A, k19_qc_lang1(A, C), B), k13_cqc_lang(A, k20_qc_lang1(A, C), B))) ) ) ) ) ) ) ).
fof(t23_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (v5_qc_lang1(C, A) =>  (k21_qc_lang1(A, C)=B | k13_cqc_lang(A, C, B)=k15_qc_lang1(A, k21_qc_lang1(A, C), k13_cqc_lang(A, k22_qc_lang1(A, C), B))) ) ) ) ) ) ) ) ).
fof(t24_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k13_cqc_lang(A, k15_qc_lang1(A, B, C), B)=k15_qc_lang1(A, B, C)) ) ) ) ) ) ).
fof(t27_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) => k13_cqc_lang(A, C, B)=C) ) ) ) ) ) ).
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(t2_valuat_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_funct_2(D, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (! [E] :  (m2_funct_2(E, k2_valuat_1(A, B), k5_margrel1, k9_funct_2(k2_valuat_1(A, B), k5_margrel1)) =>  (k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k3_valuat_1(A, B, C, E), D)=k6_margrel1 <=>  (? [F] :  (m2_funct_2(F, k3_qc_lang1(A), B, k2_valuat_1(A, B)) &  (k3_funct_2(k2_valuat_1(A, B), k5_margrel1, E, F)=k6_margrel1 &  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (C=G)  => k3_funct_2(k3_qc_lang1(A), B, F, G)=k3_funct_2(k3_qc_lang1(A), B, D, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k5_qc_lang1(A), k2_qc_lang1(A)))))  =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k5_qc_lang1(A)) =>  (! [F] :  (m2_finseq_1(F, k2_qc_lang1(A)) =>  (! [G] :  (m2_finseq_1(G, k2_qc_lang1(A)) =>  ( (C=k2_cqc_lang(A, E, D) &  (G=k1_cqc_lang(A, F, C) &  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(F))) ) )  =>  ( (k1_funct_1(F, B)=E => k1_funct_1(G, B)=D)  &  ( ~ (k1_funct_1(F, B)=E)  => k1_funct_1(G, B)=k1_funct_1(F, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t3_valuat_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_funct_2(D, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  (! [E] :  (m2_funct_2(E, k2_valuat_1(A, B), k5_margrel1, k9_funct_2(k2_valuat_1(A, B), k5_margrel1)) =>  (k3_funct_2(k2_valuat_1(A, B), k5_margrel1, k3_valuat_1(A, B, C, E), D)=k7_margrel1 <=>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), B, k2_valuat_1(A, B)) =>  ( (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( ~ (C=G)  => k3_funct_2(k3_qc_lang1(A), B, F, G)=k3_funct_2(k3_qc_lang1(A), B, D, G)) ) )  => k3_funct_2(k2_valuat_1(A, B), k5_margrel1, E, F)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v3_card_1(C, B) & m2_finseq_1(C, k2_qc_lang1(A)))  =>  ( (v5_relat_1(C, k3_qc_lang1(A)) &  (v3_card_1(C, B) & m2_finseq_1(C, k2_qc_lang1(A))) )  <=>  (a_3_0_cqc_lang(A, B, C)=k1_xboole_0 & a_3_1_cqc_lang(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ) ).
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(t7_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(A), k8_qc_lang1(A, B)) =>  (! [D] :  ( (v3_card_1(D, B) & m2_finseq_1(D, k2_qc_lang1(A)))  =>  (m2_subset_1(k10_qc_lang1(A, C, D), k9_qc_lang1(A), k3_cqc_lang(A)) <=>  (a_3_0_cqc_lang(A, B, D)=k1_xboole_0 & a_3_1_cqc_lang(A, B, D)=k1_xboole_0) ) ) ) ) ) ) ) ) ) ).
fof(t7_valuat_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_funct_2(D, k3_qc_lang1(A), C, k2_valuat_1(A, C)) =>  (! [E] :  ( (v5_relat_1(E, k3_qc_lang1(A)) &  (v3_card_1(E, B) & m2_finseq_1(E, k2_qc_lang1(A))) )  =>  (! [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [G] :  (m1_valuat_1(G, A, C) =>  (! [H] :  (m2_subset_1(H, k6_qc_lang1(A), k8_qc_lang1(A, B)) =>  (! [I] :  (m1_subset_1(I, k2_margrel1(C)) =>  ( (F=k4_cqc_lang(B, A, H, E) & r1_margrel1(C, I, k7_valuat_1(A, C, B, G, H)))  =>  (r2_tarski(k4_valuat_1(A, C, B, E, D), I) <=> k3_funct_2(k2_valuat_1(A, C), k5_margrel1, k8_valuat_1(A, C, G, F), D)=k7_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (m2_subset_1(k13_qc_lang1(A, B), k9_qc_lang1(A), k3_cqc_lang(A)) <=> m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A))) ) ) ) ) ).
fof(t8_valuat_1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( ~ (v1_xboole_0(C))  =>  (! [D] :  (m2_funct_2(D, k3_qc_lang1(A), C, k2_valuat_1(A, C)) =>  (! [E] :  ( (v5_relat_1(E, k3_qc_lang1(A)) &  (v3_card_1(E, B) & m2_finseq_1(E, k2_qc_lang1(A))) )  =>  (! [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [G] :  (m1_valuat_1(G, A, C) =>  (! [H] :  (m2_subset_1(H, k6_qc_lang1(A), k8_qc_lang1(A, B)) =>  (! [I] :  (m1_subset_1(I, k2_margrel1(C)) =>  ( (F=k4_cqc_lang(B, A, H, E) & r1_margrel1(C, I, k7_valuat_1(A, C, B, G, H)))  =>  ( ~ (r2_tarski(k4_valuat_1(A, C, B, E, D), I))  <=> k3_funct_2(k2_valuat_1(A, C), k5_margrel1, k8_valuat_1(A, C, G, F), D)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) =>  (m2_subset_1(k14_qc_lang1(A, B, C), k9_qc_lang1(A), k3_cqc_lang(A)) <=>  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) & m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A))) ) ) ) ) ) ) ) ).
