% Mizar problem: t44_cqc_sim1,cqc_sim1,2462,5 
fof(t44_cqc_sim1, conjecture,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => k24_qc_lang1(A, B)=k24_qc_lang1(A, k14_cqc_sim1(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_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v6_membered(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_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_finseq_1(A)) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_finseq_1(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc16_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => v6_valued_0(A)) ) ).
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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(A)) ) ).
fof(cc1_finsub_1, axiom,  (! [A] :  (v4_finsub_1(A) =>  (v1_finsub_1(A) & v3_finsub_1(A)) ) ) ).
fof(cc1_funcop_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) ) ) ) ) ) ).
fof(cc1_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_funct_1(A)) ) ).
fof(cc1_funct_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_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_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(A)) ) ).
fof(cc1_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc1_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(cc2_finset_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_finset_1(B)) ) ) ) ).
fof(cc2_finsub_1, axiom,  (! [A] :  ( (v1_finsub_1(A) & v3_finsub_1(A))  => v4_finsub_1(A)) ) ).
fof(cc2_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funcop_1(A)) ) ) ) ).
fof(cc2_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(cc2_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_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_relat_1(B)) ) ) ) ).
fof(cc2_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(cc2_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( ~ (v1_subset_1(B, A))  =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(A)) ) ).
fof(cc3_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) => v5_relat_1(B, A)) ) ) ).
fof(cc3_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(cc3_finsub_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(A)) => v1_finset_1(B)) ) ) ).
fof(cc3_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc3_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_funct_1(B)) ) ) ) ).
fof(cc3_funct_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_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
fof(cc3_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_xboole_0(C)) ) ) ) ).
fof(cc3_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_xboole_0(B) => v1_subset_1(B, A)) ) ) ) ) ).
fof(cc3_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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(A)) ) ).
fof(cc4_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k9_funct_2(A, C)))) =>  ( (v1_funct_1(D) & v1_funct_2(D, B, k9_funct_2(A, C)))  =>  (v1_funct_1(D) &  (v1_funct_2(D, B, k9_funct_2(A, C)) & v1_funcop_1(D)) ) ) ) ) ) ) ).
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_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_relat_1(A)) ) ) ).
fof(cc4_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) => v1_xboole_0(C)) ) ) ) ).
fof(cc4_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_subset_1(B, A)) ) ) ) ) ).
fof(cc4_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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc5_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(cc5_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_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v4_relat_1(C, A)) ) ) ) ).
fof(cc5_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
fof(cc5_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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ).
fof(cc6_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_1(A)) ) ).
fof(cc6_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_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v5_relat_1(C, A)) ) ) ) ).
fof(cc6_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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc7_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(cc7_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_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v4_relat_1(B, A)) ) ) ) ) ) ).
fof(cc7_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_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(A)) ) ).
fof(cc8_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_finset_1(B)) ) ) ) ).
fof(cc8_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(cc8_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_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v1_finset_1(A)) ) ).
fof(cc9_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(A)) ) ) ).
fof(cc9_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_k1_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k1_finsub_1(A, B, C)=k1_finsub_1(A, C, B)) ) ).
fof(commutativity_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, B)=k2_xboole_0(B, A)) ).
fof(commutativity_k4_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k4_subset_1(A, B, C)=k4_subset_1(A, C, B)) ) ).
fof(commutativity_k5_setwiseo, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k5_finsub_1(A)) & m1_subset_1(C, k5_finsub_1(A)))  => k5_setwiseo(A, B, C)=k5_setwiseo(A, C, B)) ) ).
fof(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(d10_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => k13_cqc_sim1(A, B)=k25_qc_lang1(A, k12_cqc_sim1(A, B))) ) ) ) ).
fof(d10_xboole_0, axiom,  (! [A] :  (! [B] :  (A=B <=>  (r1_tarski(A, B) & r1_tarski(B, A)) ) ) ) ).
fof(d11_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => k14_cqc_sim1(A, B)=k10_cqc_sim1(A, B, k13_cqc_sim1(A, B), k11_cqc_sim1(k3_qc_lang1(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_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k2_qc_lang1(A)) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_qc_lang1(A))))  => k1_qc_lang3(A, B, C)=a_3_0_qc_lang3(A, B, C)) ) ) ) ) ) ).
fof(d2_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k3_cqc_lang(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k3_cqc_lang(A))))) )  =>  (! [D] :  (m2_funct_2(D, B, k3_cqc_lang(A), k9_funct_2(B, k3_cqc_lang(A))) =>  (D=k2_cqc_sim1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, B) =>  (! [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (F=k3_funct_2(B, k3_cqc_lang(A), C, E) => k3_funct_2(B, k3_cqc_lang(A), D, E)=k6_cqc_lang(A, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_funcop_1, axiom,  (! [A] :  (! [B] : k2_funcop_1(A, B)=k2_zfmisc_1(A, k1_tarski(B))) ) ).
fof(d2_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) => k2_qc_lang3(A, B)=k4_tarski(4, B)) ) ) ) ).
fof(d3_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))))) )  =>  (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m2_funct_2(E, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))) =>  (E=k3_cqc_sim1(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k1_qc_lang1(A)) =>  (! [G] :  (m2_funct_2(G, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (! [H] :  (m2_subset_1(H, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [I] :  (m2_subset_1(I, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (H=k2_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), B, F, G) & I=k2_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), C, k30_qc_lang1(A, F, D), G))  => k2_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), E, F, G)=k7_cqc_lang(A, H, I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d4_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))))) )  =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_funct_2(D, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))) =>  (D=k4_cqc_sim1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, k1_qc_lang1(A)) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (! [G] :  (m2_subset_1(G, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (G=k1_binop_1(B, k28_qc_lang1(A, E), k1_funct_4(F, k17_funcop_1(C, k2_qc_lang3(A, E)))) => k2_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), D, E, F)=k11_cqc_lang(A, k2_qc_lang3(A, E), G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_cqc_sim1, 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] :  ( (v5_relat_1(D, k3_qc_lang1(A)) &  (v3_card_1(D, B) & m2_finseq_1(D, k2_qc_lang1(A))) )  =>  (! [E] :  (m2_funct_2(E, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))) =>  (E=k6_cqc_sim1(A, B, C, D) <=>  (! [F] :  (m1_subset_1(F, k1_qc_lang1(A)) =>  (! [G] :  (m2_funct_2(G, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) => k2_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), E, F, G)=k4_cqc_lang(B, A, C, k5_cqc_sim1(A, B, D, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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(d7_card_1, axiom,  (! [A] :  (! [B] :  (v3_card_1(B, A) <=> k1_card_1(B)=A) ) ) ).
fof(d7_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)))))) )  =>  (B=k9_cqc_sim1(A) <=>  (r8_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), k8_cqc_sim1(A, B, k5_cqc_lang(A)), k8_funcop_1(k3_cqc_lang(A), k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k5_cqc_lang(A))) &  ( (! [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_subset_1(E, k6_qc_lang1(A), k8_qc_lang1(A, C)) => r8_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), k8_cqc_sim1(A, B, k4_cqc_lang(C, A, E, D)), k6_cqc_sim1(A, C, E, D))) ) ) ) ) )  &  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_subset_1(E, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (r8_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), k8_cqc_sim1(A, B, k6_cqc_lang(A, C)), k2_cqc_sim1(A, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k8_cqc_sim1(A, B, C))) &  (r8_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), k8_cqc_sim1(A, B, k7_cqc_lang(A, C, D)), k3_cqc_sim1(A, k8_cqc_sim1(A, B, C), k8_cqc_sim1(A, B, D), k7_cqc_sim1(A, C))) & r8_binop_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k3_cqc_lang(A), k8_cqc_sim1(A, B, k11_cqc_lang(A, E, C)), k4_cqc_sim1(A, k8_cqc_sim1(A, B, C), E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  (! [D] :  (m2_funct_2(D, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) => k10_cqc_sim1(A, B, C, D)=k3_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k8_cqc_sim1(A, k9_cqc_sim1(A), B), k1_domain_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), C, D))) ) ) ) ) ) ) ) ).
fof(d9_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => k12_cqc_sim1(A, B)=a_2_0_cqc_sim1(A, B)) ) ) ) ).
fof(d9_funcop_1, axiom,  (! [A] :  (! [B] : k17_funcop_1(A, B)=k7_funcop_1(k1_tarski(A), B)) ) ).
fof(dt_k10_cqc_sim1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k3_cqc_lang(A)) &  (m1_subset_1(C, k1_qc_lang1(A)) & m1_subset_1(D, k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)))) ) )  => m2_subset_1(k10_cqc_sim1(A, B, C, D), k9_qc_lang1(A), k3_cqc_lang(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_k11_cqc_sim1, axiom,  (! [A] : m1_subset_1(k11_cqc_sim1(A), k1_funct_2(A, A))) ).
fof(dt_k12_cqc_sim1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => m1_subset_1(k12_cqc_sim1(A, B), k1_zfmisc_1(k1_qc_lang1(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_sim1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => m1_subset_1(k13_cqc_sim1(A, B), k1_qc_lang1(A))) ) ).
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_cqc_sim1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => m2_subset_1(k14_cqc_sim1(A, B), k9_qc_lang1(A), k3_cqc_lang(A))) ) ).
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_cqc_sim1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => m1_subset_1(k15_cqc_sim1(A, B), k1_zfmisc_1(k4_zfmisc_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)))))) ) ).
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_k1_binop_1, axiom, $true).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
fof(dt_k1_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) & m1_subset_1(D, B)) ) )  => m1_subset_1(k1_domain_1(A, B, C, D), k2_zfmisc_1(A, B))) ) ).
fof(dt_k1_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k1_finsub_1(A, B, C), A)) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_funct_2, axiom, $true).
fof(dt_k1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k1_funct_4(A, B)) & v1_funct_1(k1_funct_4(A, B))) ) ) ).
fof(dt_k1_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k1_qc_lang1(A))) ) ) ).
fof(dt_k1_qc_lang3, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_finseq_1(B, k2_qc_lang1(A)) &  ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k2_qc_lang1(A)))) ) )  => m1_subset_1(k1_qc_lang3(A, B, C), k1_zfmisc_1(C))) ) ).
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_setwiseo, axiom,  (! [A] :  (v1_xboole_0(k1_setwiseo(A)) & m1_subset_1(k1_setwiseo(A), k5_finsub_1(A))) ) ).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k23_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_finseq_1(B, k2_qc_lang1(A)))  => m1_subset_1(k23_qc_lang1(A, B), k1_zfmisc_1(k3_qc_lang1(A)))) ) ).
fof(dt_k24_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k9_qc_lang1(A)))  => m1_subset_1(k24_qc_lang1(A, B), k1_zfmisc_1(k3_qc_lang1(A)))) ) ).
fof(dt_k25_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_qc_lang1(A)))) )  => m1_subset_1(k25_qc_lang1(A, B), k1_qc_lang1(A))) ) ).
fof(dt_k28_qc_lang1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k1_qc_lang1(A)))  => m1_subset_1(k28_qc_lang1(A, B), k1_qc_lang1(A))) ) ).
fof(dt_k2_binop_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, B)) ) ) )  => m1_subset_1(k2_binop_1(A, B, C, D, E, F), C)) ) ).
fof(dt_k2_cqc_sim1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, B, k3_cqc_lang(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k3_cqc_lang(A))))) ) ) )  => m2_funct_2(k2_cqc_sim1(A, B, C), B, k3_cqc_lang(A), k9_funct_2(B, k3_cqc_lang(A)))) ) ).
fof(dt_k2_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k2_finsub_1(A, B, C), A)) ) ).
fof(dt_k2_funcop_1, axiom, $true).
fof(dt_k2_qc_lang1, axiom, $true).
fof(dt_k2_qc_lang3, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k1_qc_lang1(A)))  => m2_subset_1(k2_qc_lang3(A, B), k2_qc_lang1(A), k3_qc_lang1(A))) ) ).
fof(dt_k2_setwiseo, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m1_subset_1(k2_setwiseo(A, B), k5_finsub_1(A))) ) ).
fof(dt_k2_xboole_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k30_qc_lang1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  (m1_subset_1(B, k1_qc_lang1(A)) & v7_ordinal1(C)) )  => m1_subset_1(k30_qc_lang1(A, B, C), k1_qc_lang1(A))) ) ).
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_cqc_sim1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))))) )  & v7_ordinal1(D)) ) )  => m2_funct_2(k3_cqc_sim1(A, B, C, D), k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(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_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
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_cqc_sim1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))))) )  & m1_subset_1(C, k3_qc_lang1(A))) )  => m2_funct_2(k4_cqc_sim1(A, B, C), k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)))) ) ).
fof(dt_k4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k4_finseq_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_relat_1, axiom,  (! [A] : v1_relat_1(k4_relat_1(A))) ).
fof(dt_k4_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_subset_1(k4_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_xboole_0, axiom, $true).
fof(dt_k4_zfmisc_1, 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_cqc_sim1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (v7_ordinal1(B) &  ( (v5_relat_1(C, k3_qc_lang1(A)) &  (v3_card_1(C, B) & m1_finseq_1(C, k2_qc_lang1(A))) )  & m1_subset_1(D, k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)))) ) )  =>  (v5_relat_1(k5_cqc_sim1(A, B, C, D), k3_qc_lang1(A)) &  (v3_card_1(k5_cqc_sim1(A, B, C, D), B) & m2_finseq_1(k5_cqc_sim1(A, B, C, D), k2_qc_lang1(A))) ) ) ) ).
fof(dt_k5_domain_1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  (m1_subset_1(E, A) &  (m1_subset_1(F, B) &  (m1_subset_1(G, C) & m1_subset_1(H, D)) ) ) ) ) ) )  => m1_subset_1(k5_domain_1(A, B, C, D, E, F, G, H), k4_zfmisc_1(A, B, C, D))) ) ).
fof(dt_k5_finsub_1, axiom,  (! [A] : v4_finsub_1(k5_finsub_1(A))) ).
fof(dt_k5_setwiseo, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k5_finsub_1(A)) & m1_subset_1(C, k5_finsub_1(A)))  => m1_subset_1(k5_setwiseo(A, B, C), k5_finsub_1(A))) ) ).
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_cqc_sim1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (v7_ordinal1(B) &  (m1_subset_1(C, k8_qc_lang1(A, B)) &  (v5_relat_1(D, k3_qc_lang1(A)) &  (v3_card_1(D, B) & m1_finseq_1(D, k2_qc_lang1(A))) ) ) ) )  => m2_funct_2(k6_cqc_sim1(A, B, C, D), k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)))) ) ).
fof(dt_k6_domain_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m1_subset_1(k6_domain_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k6_qc_lang1, axiom, $true).
fof(dt_k6_subset_1, axiom,  (! [A, B] : m1_subset_1(k6_subset_1(A, B), k1_zfmisc_1(A))) ).
fof(dt_k6_xtuple_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_cqc_sim1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  => m1_subset_1(k7_cqc_sim1(A, B), k4_ordinal1)) ) ).
fof(dt_k7_funcop_1, axiom,  (! [A, B] :  (v1_funct_1(k7_funcop_1(A, B)) &  (v1_funct_2(k7_funcop_1(A, B), A, k1_tarski(B)) & m1_subset_1(k7_funcop_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_tarski(B))))) ) ) ).
fof(dt_k7_relat_1, axiom, $true).
fof(dt_k7_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => m1_subset_1(k7_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k8_cqc_sim1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)))))) )  & m1_subset_1(C, k3_cqc_lang(A))) )  => m2_funct_2(k8_cqc_sim1(A, B, C), k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)))) ) ).
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_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_k9_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (v1_funct_1(k9_cqc_sim1(A)) &  (v1_funct_2(k9_cqc_sim1(A), k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))) & m1_subset_1(k9_cqc_sim1(A), k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)))))) ) ) ) ).
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_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k9_qc_lang1(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_qc_lang1, axiom, $true).
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(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_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_funcop_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v1_funcop_1(k3_relat_1(B, A))) ) ) ).
fof(fc10_funct_2, axiom,  (! [A, B] : v4_funct_1(k1_funct_2(A, B))) ).
fof(fc10_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
fof(fc10_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k2_zfmisc_1(A, B))) ) ) ).
fof(fc11_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => v2_relat_1(k2_funcop_1(A, B))) ) ).
fof(fc11_funct_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  ~ (v1_xboole_0(k1_funct_1(A, B))) ) ) ).
fof(fc11_funct_2, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) &  (v4_relat_1(k4_relat_1(A), A) &  (v1_funct_1(k4_relat_1(A)) & v1_partfun1(k4_relat_1(A), 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_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k4_xboole_0(A, B))) ) ).
fof(fc12_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k17_funcop_1(A, B)) & v1_funct_1(k17_funcop_1(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(fc12_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(B))  =>  (v1_xboole_0(k3_relat_1(A, B)) & v1_relat_1(k3_relat_1(A, B))) ) ) ).
fof(fc12_subset_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ~ (v1_xboole_0(D)) ) ) )  =>  ~ (v1_xboole_0(k4_zfmisc_1(A, B, C, D))) ) ) ).
fof(fc13_finset_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_finset_1(B))  => v1_finset_1(k7_relat_1(A, B))) ) ).
fof(fc13_funcop_1, axiom,  (! [A, B] : v2_funct_1(k17_funcop_1(A, B))) ).
fof(fc13_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(B))  =>  (v1_xboole_0(k3_relat_1(B, A)) & v1_relat_1(k3_relat_1(B, A))) ) ) ).
fof(fc14_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_zfmisc_1(A, B))) ) ).
fof(fc14_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k1_tarski(A))) ) ).
fof(fc15_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => v1_funcop_1(k2_funcop_1(A, B))) ) ).
fof(fc15_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v2_relat_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_relat_1(k3_relat_1(A, B))) ) ) ).
fof(fc16_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v3_finseq_1(k1_tarski(A))) ) ).
fof(fc16_finset_1, axiom,  (! [A, B, C, D] :  ( (v1_finset_1(A) &  (v1_finset_1(B) &  (v1_finset_1(C) & v1_finset_1(D)) ) )  => v1_finset_1(k4_zfmisc_1(A, B, C, D))) ) ).
fof(fc16_funcop_1, axiom,  (! [A, B] : v3_funct_1(k2_funcop_1(A, B))) ).
fof(fc17_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v3_finseq_1(k9_xtuple_0(A))) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc17_funct_1, axiom,  (! [A, B, C] :  ( (v4_funct_1(A) &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_1(C, B)) & v1_funct_1(k1_funct_1(C, B))) ) ) ).
fof(fc18_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  => v3_finseq_1(k9_xtuple_0(A))) ) ).
fof(fc18_funcop_1, axiom,  (! [A, B] : v4_relat_1(k2_funcop_1(A, B), A)) ).
fof(fc18_funct_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  ~ (v1_zfmisc_1(k9_xtuple_0(A))) ) ) ).
fof(fc19_finseq_1, axiom,  (! [A, B] :  ( (v3_finseq_1(A) & v3_finseq_1(B))  => v3_finseq_1(k2_xboole_0(A, B))) ) ).
fof(fc19_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k9_xtuple_0(A))) ) ).
fof(fc19_funcop_1, axiom,  (! [A, B] : v4_relat_1(k17_funcop_1(A, B), k1_tarski(A))) ).
fof(fc19_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v3_relat_1(A) & v1_funct_1(A)) )  => v1_xboole_0(k1_funct_1(A, B))) ) ).
fof(fc19_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  => v1_xboole_0(k7_relat_1(A, B))) ) ).
fof(fc1_cqc_sim1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m1_subset_1(B, k3_cqc_lang(A)))  =>  ~ (v1_xboole_0(k12_cqc_sim1(A, B))) ) ) ).
fof(fc1_finset_1, axiom,  (! [A] : v1_finset_1(k1_tarski(A))) ).
fof(fc1_finsub_1, axiom,  (! [A] : v4_finsub_1(k1_zfmisc_1(A))) ).
fof(fc1_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k2_funcop_1(A, B)) & v1_funct_1(k2_funcop_1(A, B))) ) ).
fof(fc1_funct_1, axiom,  (! [A, B] : v1_funct_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc1_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  ~ (v1_xboole_0(k1_funct_2(A, B))) ) ) ).
fof(fc1_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k1_qc_lang1(A))) ) ) ).
fof(fc1_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  &  (v1_relat_1(C) & v4_relat_1(C, A)) )  => v4_relat_1(k2_xboole_0(B, C), A)) ) ).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc20_finseq_1, axiom,  (! [A, B] :  (v3_finseq_1(A) => v3_finseq_1(k4_xboole_0(A, B))) ) ).
fof(fc20_finset_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v1_finset_1(k3_relat_1(B, A))) ) ) ).
fof(fc20_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => v1_funcop_1(k17_funcop_1(A, B))) ) ).
fof(fc20_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(A))  => v1_xboole_0(k7_relat_1(A, B))) ) ).
fof(fc21_finset_1, axiom,  (! [A, B] : v1_finset_1(k17_funcop_1(A, B))) ).
fof(fc21_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k2_funcop_1(A, B)) &  (v4_relat_1(k2_funcop_1(A, B), A) &  (v1_funct_1(k2_funcop_1(A, B)) & v1_partfun1(k2_funcop_1(A, B), A)) ) ) ) ).
fof(fc22_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => v5_relat_1(k17_funcop_1(B, C), A)) ) ).
fof(fc23_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(C, B))  => v5_relat_1(k2_funcop_1(A, C), B)) ) ).
fof(fc24_finset_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_finset_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc24_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => v4_relat_1(k17_funcop_1(B, C), A)) ) ).
fof(fc24_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k9_xtuple_0(A))) ) ).
fof(fc25_funcop_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k1_binop_1(A, B, C)) & v1_funct_1(k1_binop_1(A, B, C))) ) ) ).
fof(fc28_relat_1, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) &  (v4_relat_1(k4_relat_1(A), A) & v5_relat_1(k4_relat_1(A), A)) ) ) ).
fof(fc29_relat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  =>  (v1_relat_1(k3_relat_1(C, B)) & v5_relat_1(k3_relat_1(C, B), A)) ) ) ).
fof(fc2_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k3_cqc_lang(A))) ) ) ).
fof(fc2_finsub_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(k5_finsub_1(A)))  & v4_finsub_1(k5_finsub_1(A))) ) ).
fof(fc2_funcop_1, axiom,  (! [A] : v1_xboole_0(k2_funcop_1(k1_xboole_0, A))) ).
fof(fc2_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc2_funct_2, axiom,  (! [A] :  ~ (v1_xboole_0(k1_funct_2(A, A))) ) ).
fof(fc2_qc_lang1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  ~ (v1_xboole_0(k2_qc_lang1(A))) ) ) ).
fof(fc2_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k4_xboole_0(A, B))) ) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc30_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_tarski(A))) ) ).
fof(fc30_relat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  =>  (v1_relat_1(k3_relat_1(B, C)) & v4_relat_1(k3_relat_1(B, C), A)) ) ) ).
fof(fc31_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc33_finset_1, axiom,  (! [A, B] :  ( (v5_finset_1(A) & v5_finset_1(B))  => v5_finset_1(k2_xboole_0(A, B))) ) ).
fof(fc35_finseq_1, axiom, v4_finseq_1(k1_tarski(k1_xboole_0))).
fof(fc35_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  => v1_finset_1(k1_funct_1(A, B))) ) ).
fof(fc36_finseq_1, axiom,  (! [A, B] :  ( (v4_finseq_1(A) & v4_finseq_1(B))  => v4_finseq_1(k2_xboole_0(A, B))) ) ).
fof(fc39_finseq_1, axiom,  (! [A, B, C] :  ( (v4_finseq_1(A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) ) )  => v1_finseq_1(k1_funct_1(B, C))) ) ).
fof(fc3_funcop_1, axiom,  (! [A, B] :  (v1_xboole_0(B) => v1_xboole_0(k2_funcop_1(B, A))) ) ).
fof(fc3_funct_1, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) & v1_funct_1(k4_relat_1(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(fc3_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => v1_relat_1(k2_xboole_0(A, B))) ) ).
fof(fc3_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k4_xboole_0(B, C), A)) ) ).
fof(fc4_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  ~ (v1_xboole_0(k2_funcop_1(B, A))) ) ) ).
fof(fc4_funct_1, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) & v2_funct_1(k4_relat_1(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_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_funcop_1, axiom,  (! [A] : v3_relat_1(k2_funcop_1(A, k1_xboole_0))) ).
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_relat_1, axiom,  (! [A, B] : v1_relat_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc5_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(B, 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(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(fc6_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k4_xboole_0(B, C), A)) ) ).
fof(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(fc7_relset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k4_relat_1(A)))  & v1_relat_1(k4_relat_1(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_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k9_xtuple_0(A))) ) ) ).
fof(fc8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))) => v1_relat_1(k9_xtuple_0(D))) ) ).
fof(fc9_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_xboole_0(A, B))) ) ).
fof(fc9_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ).
fof(fraenkel_a_2_0_cqc_sim1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(B) & m2_subset_1(C, k9_qc_lang1(B), k3_cqc_lang(B)))  =>  (r2_hidden(A, a_2_0_cqc_sim1(B, C)) <=>  (? [D] :  (m1_subset_1(D, k1_qc_lang1(B)) &  (A=D &  (! [E] :  (m1_subset_1(E, k1_qc_lang1(B)) =>  ~ ( (r1_qc_lang1(B, D, E) & r2_tarski(k2_qc_lang3(B, E), k24_qc_lang1(B, C))) ) ) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_qc_lang3, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(B) &  (m2_finseq_1(C, k2_qc_lang1(B)) &  ( ~ (v1_xboole_0(D))  & m1_subset_1(D, k1_zfmisc_1(k2_qc_lang1(B)))) ) )  =>  (r2_hidden(A, a_3_0_qc_lang3(B, C, D)) <=>  (? [E] :  (v7_ordinal1(E) &  (A=k1_funct_1(C, E) &  (r1_xxreal_0(1, E) &  (r1_xxreal_0(E, k3_finseq_1(C)) & r2_tarski(k1_funct_1(C, E), D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_3_2_cqc_sim1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(B) &  (v7_ordinal1(C) &  (v5_relat_1(D, k3_qc_lang1(B)) &  (v3_card_1(D, C) & m2_finseq_1(D, k2_qc_lang1(B))) ) ) )  =>  (r2_hidden(A, a_3_2_cqc_sim1(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), k3_qc_lang1(B))) ) ) ) ) ) ) ) ).
fof(fraenkel_a_4_0_cqc_sim1, axiom,  (! [A, B, C, D, E] :  ( (m1_qc_lang1(B) &  (v7_ordinal1(C) &  ( (v5_relat_1(D, k3_qc_lang1(B)) &  (v3_card_1(D, C) & m2_finseq_1(D, k2_qc_lang1(B))) )  & m2_funct_2(E, k3_qc_lang1(B), k3_qc_lang1(B), k9_funct_2(k3_qc_lang1(B), k3_qc_lang1(B)))) ) )  =>  (r2_hidden(A, a_4_0_cqc_sim1(B, C, D, E)) <=>  (? [F] :  (v7_ordinal1(F) &  (A=k1_funct_1(k5_cqc_sim1(B, C, D, E), F) &  (r1_xxreal_0(1, F) &  (r1_xxreal_0(F, k3_finseq_1(k5_cqc_sim1(B, C, D, E))) & r2_tarski(k1_funct_1(k5_cqc_sim1(B, C, D, E), F), k3_qc_lang1(B))) ) ) ) ) ) ) ) ).
fof(idempotence_k1_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k1_finsub_1(A, B, B)=B) ) ).
fof(idempotence_k1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(A, A)=A) ) ).
fof(idempotence_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, A)=A) ).
fof(idempotence_k4_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k4_subset_1(A, B, B)=B) ) ).
fof(idempotence_k5_setwiseo, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k5_finsub_1(A)) & m1_subset_1(C, k5_finsub_1(A)))  => k5_setwiseo(A, B, B)=B) ) ).
fof(l17_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [D] :  (m2_funct_2(D, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (v1_funct_1(k1_funct_4(D, k17_funcop_1(C, k2_qc_lang3(A, B)))) &  (v1_funct_2(k1_funct_4(D, k17_funcop_1(C, k2_qc_lang3(A, B))), k3_qc_lang1(A), k3_qc_lang1(A)) & m1_subset_1(k1_funct_4(D, k17_funcop_1(C, k2_qc_lang3(A, B))), k1_zfmisc_1(k2_zfmisc_1(k3_qc_lang1(A), k3_qc_lang1(A))))) ) ) ) ) ) ) ) ) ) ).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(projectivity_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(k3_finseq_1(A))=k3_finseq_1(A)) ) ).
fof(rc10_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ).
fof(rc10_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc14_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc15_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc16_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v6_valued_0(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc1_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_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(rc1_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ).
fof(rc1_funcop_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(rc1_funct_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_qc_lang1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_qc_lang1(B))  =>  (? [C] :  (m1_finseq_1(C, k2_qc_lang1(B)) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, k2_qc_lang1(B)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v3_card_1(C, A) &  (v1_finseq_1(C) & v2_finseq_1(C)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_relat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_relat_1(A)) ) ).
fof(rc1_relset_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ) ) ).
fof(rc1_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ).
fof(rc2_finset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_finset_1(B)) ) ) ).
fof(rc2_funcop_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ) ).
fof(rc2_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc3_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_xboole_0(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(rc3_finset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc3_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v3_funct_1(C) &  (v1_partfun1(C, A) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_relat_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, A)) ) ) ) ).
fof(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
fof(rc4_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ).
fof(rc4_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(rc4_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ) ).
fof(rc4_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(rc4_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_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc5_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_finseq_1(A)) ) ).
fof(rc5_funcop_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(rc5_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_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
fof(rc6_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc6_finset_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ).
fof(rc6_funct_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_funct_1(C)) ) ) ) ) ).
fof(rc6_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_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc7_finset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ) ) ).
fof(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(A)) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_finset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_zfmisc_1(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc9_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(A)) ) ) ).
fof(rc9_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_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => k1_funct_1(k2_funcop_1(A, B), C)=B) ) ).
fof(rd1_funct_1, axiom,  (! [A, B] :  (m1_subset_1(B, A) => k1_funct_1(k4_relat_1(A), B)=B) ) ).
fof(rd1_relat_1, axiom,  (! [A] : k9_xtuple_0(k4_relat_1(A))=A) ).
fof(rd2_funcop_1, axiom,  (! [A, B] : k9_xtuple_0(k2_funcop_1(A, B))=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_k11_cqc_sim1, axiom,  (! [A] : k11_cqc_sim1(A)=k4_relat_1(A)) ).
fof(redefinition_k1_domain_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, A) & m1_subset_1(D, B)) ) )  => k1_domain_1(A, B, C, D)=k4_tarski(C, D)) ) ).
fof(redefinition_k1_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k1_finsub_1(A, B, C)=k2_xboole_0(B, C)) ) ).
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_k2_binop_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, B)) ) ) )  => k2_binop_1(A, B, C, D, E, F)=k1_binop_1(D, E, F)) ) ).
fof(redefinition_k2_finsub_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v4_finsub_1(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k2_finsub_1(A, B, C)=k4_xboole_0(B, C)) ) ).
fof(redefinition_k2_setwiseo, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k2_setwiseo(A, B)=k1_tarski(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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k4_finseq_1(A)=k9_xtuple_0(A)) ) ).
fof(redefinition_k4_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k4_subset_1(A, B, C)=k2_xboole_0(B, C)) ) ).
fof(redefinition_k5_cqc_lang, axiom,  (! [A] :  (m1_qc_lang1(A) => k5_cqc_lang(A)=k12_qc_lang1(A)) ) ).
fof(redefinition_k5_cqc_sim1, axiom,  (! [A, B, C, D] :  ( (m1_qc_lang1(A) &  (v7_ordinal1(B) &  ( (v5_relat_1(C, k3_qc_lang1(A)) &  (v3_card_1(C, B) & m1_finseq_1(C, k2_qc_lang1(A))) )  & m1_subset_1(D, k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)))) ) )  => k5_cqc_sim1(A, B, C, D)=k3_relat_1(C, D)) ) ).
fof(redefinition_k5_domain_1, axiom,  (! [A, B, C, D, E, F, G, H] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  (m1_subset_1(E, A) &  (m1_subset_1(F, B) &  (m1_subset_1(G, C) & m1_subset_1(H, D)) ) ) ) ) ) )  => k5_domain_1(A, B, C, D, E, F, G, H)=k6_xtuple_0(E, F, G, H)) ) ).
fof(redefinition_k5_setwiseo, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k5_finsub_1(A)) & m1_subset_1(C, k5_finsub_1(A)))  => k5_setwiseo(A, B, C)=k2_xboole_0(B, C)) ) ).
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_domain_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k6_domain_1(A, B)=k1_tarski(B)) ) ).
fof(redefinition_k6_subset_1, axiom,  (! [A, B] : k6_subset_1(A, B)=k4_xboole_0(A, B)) ).
fof(redefinition_k7_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_funcop_1, axiom,  (! [A, B] : k7_funcop_1(A, B)=k2_funcop_1(A, B)) ).
fof(redefinition_k7_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k7_subset_1(A, B, C)=k4_xboole_0(B, C)) ) ).
fof(redefinition_k8_cqc_sim1, axiom,  (! [A, B, C] :  ( (m1_qc_lang1(A) &  ( (v1_funct_1(B) &  (v1_funct_2(B, k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_cqc_lang(A), k9_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A)))))) )  & m1_subset_1(C, k3_cqc_lang(A))) )  => k8_cqc_sim1(A, B, C)=k1_funct_1(B, C)) ) ).
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_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k9_funct_2(A, B)=k1_funct_2(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_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(redefinition_r8_binop_1, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) )  =>  (r8_binop_1(A, B, C, D, E) <=> D=E) ) ) ).
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_r8_binop_1, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) )  => r8_binop_1(A, B, C, D, D)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(s5_cqc_sim1__e8_69__cqc_sim1, axiom,  (! [A, B] :  ( (m1_qc_lang1(A) & m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)))  =>  ( ( (! [C] :  (m1_subset_1(C, k1_qc_lang1(A)) =>  (! [D] :  (m1_subset_1(D, k5_finsub_1(k3_qc_lang1(A))) =>  (! [E] :  (m2_funct_2(E, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k5_cqc_lang(A), C, D, E), k15_cqc_sim1(A, B)) => k7_relat_1(E, k24_qc_lang1(A, k5_cqc_lang(A)))=k24_qc_lang1(A, k3_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k8_cqc_sim1(A, k9_cqc_sim1(A), k5_cqc_lang(A)), k1_domain_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), C, E)))) ) ) ) ) ) )  &  ( (! [F] :  (v7_ordinal1(F) =>  (! [G] :  ( (v5_relat_1(G, k3_qc_lang1(A)) &  (v3_card_1(G, F) & m2_finseq_1(G, k2_qc_lang1(A))) )  =>  (! [H] :  (m2_subset_1(H, k6_qc_lang1(A), k8_qc_lang1(A, F)) =>  (! [I] :  (m1_subset_1(I, k1_qc_lang1(A)) =>  (! [J] :  (m1_subset_1(J, k5_finsub_1(k3_qc_lang1(A))) =>  (! [K] :  (m2_funct_2(K, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k4_cqc_lang(F, A, H, G), I, J, K), k15_cqc_sim1(A, B)) => k7_relat_1(K, k24_qc_lang1(A, k4_cqc_lang(F, A, H, G)))=k24_qc_lang1(A, k3_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k8_cqc_sim1(A, k9_cqc_sim1(A), k4_cqc_lang(F, A, H, G)), k1_domain_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), I, K)))) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( (! [L] :  (m1_subset_1(L, k1_qc_lang1(A)) =>  (! [M] :  (m1_subset_1(M, k5_finsub_1(k3_qc_lang1(A))) =>  (! [N] :  (m2_funct_2(N, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), F, L, M, N), k15_cqc_sim1(A, B)) => k7_relat_1(N, k24_qc_lang1(A, F))=k24_qc_lang1(A, k3_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k8_cqc_sim1(A, k9_cqc_sim1(A), F), k1_domain_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), L, N)))) ) ) ) ) ) )  =>  (! [O] :  (m1_subset_1(O, k1_qc_lang1(A)) =>  (! [P] :  (m1_subset_1(P, k5_finsub_1(k3_qc_lang1(A))) =>  (! [Q] :  (m2_funct_2(Q, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k6_cqc_lang(A, F), O, P, Q), k15_cqc_sim1(A, B)) => k7_relat_1(Q, k24_qc_lang1(A, k6_cqc_lang(A, F)))=k24_qc_lang1(A, k3_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k8_cqc_sim1(A, k9_cqc_sim1(A), k6_cqc_lang(A, F)), k1_domain_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), O, Q)))) ) ) ) ) ) ) ) ) )  &  ( (! [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [G] :  (m2_subset_1(G, k9_qc_lang1(A), k3_cqc_lang(A)) =>  ( ( (! [R] :  (m1_subset_1(R, k1_qc_lang1(A)) =>  (! [S] :  (m1_subset_1(S, k5_finsub_1(k3_qc_lang1(A))) =>  (! [T] :  (m2_funct_2(T, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), F, R, S, T), k15_cqc_sim1(A, B)) => k7_relat_1(T, k24_qc_lang1(A, F))=k24_qc_lang1(A, k3_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k8_cqc_sim1(A, k9_cqc_sim1(A), F), k1_domain_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), R, T)))) ) ) ) ) ) )  &  (! [U] :  (m1_subset_1(U, k1_qc_lang1(A)) =>  (! [V] :  (m1_subset_1(V, k5_finsub_1(k3_qc_lang1(A))) =>  (! [W] :  (m2_funct_2(W, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), G, U, V, W), k15_cqc_sim1(A, B)) => k7_relat_1(W, k24_qc_lang1(A, G))=k24_qc_lang1(A, k3_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k8_cqc_sim1(A, k9_cqc_sim1(A), G), k1_domain_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), U, W)))) ) ) ) ) ) ) )  =>  (! [X] :  (m1_subset_1(X, k1_qc_lang1(A)) =>  (! [Y] :  (m1_subset_1(Y, k5_finsub_1(k3_qc_lang1(A))) =>  (! [Z] :  (m2_funct_2(Z, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k7_cqc_lang(A, F, G), X, Y, Z), k15_cqc_sim1(A, B)) => k7_relat_1(Z, k24_qc_lang1(A, k7_cqc_lang(A, F, G)))=k24_qc_lang1(A, k3_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k8_cqc_sim1(A, k9_cqc_sim1(A), k7_cqc_lang(A, F, G)), k1_domain_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), X, Z)))) ) ) ) ) ) ) ) ) ) ) )  &  (! [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [G] :  (m2_subset_1(G, k2_qc_lang1(A), k3_qc_lang1(A)) =>  ( (! [A1] :  (m1_subset_1(A1, k1_qc_lang1(A)) =>  (! [B1] :  (m1_subset_1(B1, k5_finsub_1(k3_qc_lang1(A))) =>  (! [C1] :  (m2_funct_2(C1, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), F, A1, B1, C1), k15_cqc_sim1(A, B)) => k7_relat_1(C1, k24_qc_lang1(A, F))=k24_qc_lang1(A, k3_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k8_cqc_sim1(A, k9_cqc_sim1(A), F), k1_domain_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), A1, C1)))) ) ) ) ) ) )  =>  (! [D1] :  (m1_subset_1(D1, k1_qc_lang1(A)) =>  (! [E1] :  (m1_subset_1(E1, k5_finsub_1(k3_qc_lang1(A))) =>  (! [F1] :  (m2_funct_2(F1, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k11_cqc_lang(A, G, F), D1, E1, F1), k15_cqc_sim1(A, B)) => k7_relat_1(F1, k24_qc_lang1(A, k11_cqc_lang(A, G, F)))=k24_qc_lang1(A, k3_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k8_cqc_sim1(A, k9_cqc_sim1(A), k11_cqc_lang(A, G, F)), k1_domain_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), D1, F1)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [F] :  (m2_subset_1(F, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [G1] :  (m1_subset_1(G1, k1_qc_lang1(A)) =>  (! [H1] :  (m1_subset_1(H1, k5_finsub_1(k3_qc_lang1(A))) =>  (! [I1] :  (m2_funct_2(I1, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), F, G1, H1, I1), k15_cqc_sim1(A, B)) => k7_relat_1(I1, k24_qc_lang1(A, F))=k24_qc_lang1(A, k3_funct_2(k2_zfmisc_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))), k3_cqc_lang(A), k8_cqc_sim1(A, k9_cqc_sim1(A), F), k1_domain_1(k1_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), G1, I1)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc4_boole, axiom,  ~ (v1_xboole_0(4)) ).
fof(spc4_numerals, axiom,  (v2_xxreal_0(4) & m1_subset_1(4, k4_ordinal1)) ).
fof(symmetry_r8_binop_1, axiom,  (! [A, B, C, D, E] :  ( ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(A, B), C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, k2_zfmisc_1(A, B), C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C)))) ) )  =>  (r8_binop_1(A, B, C, D, E) => r8_binop_1(A, B, C, E, D)) ) ) ).
fof(t10_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) =>  (! [C] :  (m1_subset_1(C, k9_qc_lang1(A)) => k24_qc_lang1(A, k14_qc_lang1(A, B, C))=k4_subset_1(k3_qc_lang1(A), k24_qc_lang1(A, B), k24_qc_lang1(A, C))) ) ) ) ) ) ).
fof(t120_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => k7_relat_1(C, k2_xboole_0(A, B))=k2_xboole_0(k7_relat_1(C, A), k7_relat_1(C, B))) ) ) ) ).
fof(t12_qc_lang3, 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)) => k24_qc_lang1(A, k15_qc_lang1(A, B, C))=k7_subset_1(k3_qc_lang1(A), k24_qc_lang1(A, C), k1_tarski(B))) ) ) ) ) ) ).
fof(t13_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v5_relat_1(C, k3_qc_lang1(A)) &  (v3_card_1(C, B) & m2_finseq_1(C, k2_qc_lang1(A))) )  =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, D) & r1_xxreal_0(D, k3_finseq_1(C)))  => r2_tarski(k1_funct_1(C, D), k3_qc_lang1(A))) ) ) ) ) ) ) ) ) ).
fof(t13_funct_1, axiom,  (! [A] :  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(A, k9_xtuple_0(B)) => k1_funct_1(k3_relat_1(B, C), A)=k1_funct_1(C, k1_funct_1(B, A))) ) ) ) ) ) ).
fof(t1_boole, axiom,  (! [A] : k2_xboole_0(A, k1_xboole_0)=A) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t25_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k1_relset_1(k4_ordinal1, A)) <=>  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(A))) ) ) ) ) ) ).
fof(t2_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_finseq_1(B, k2_qc_lang1(A)) => k23_qc_lang1(A, B)=k1_qc_lang3(A, B, k3_qc_lang1(A))) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
fof(t30_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) => r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k1_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), B, k13_cqc_sim1(A, B), k1_setwiseo(k3_qc_lang1(A)), k11_cqc_sim1(k3_qc_lang1(A))), k15_cqc_sim1(A, B))) ) ) ) ).
fof(t31_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m1_subset_1(D, k1_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k5_finsub_1(k3_qc_lang1(A))) =>  (! [F] :  (m2_funct_2(F, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k6_cqc_lang(A, C), D, E, F), k15_cqc_sim1(A, B)) => r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), C, D, E, F), k15_cqc_sim1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m1_subset_1(E, k1_qc_lang1(A)) =>  (! [F] :  (m1_subset_1(F, k5_finsub_1(k3_qc_lang1(A))) =>  (! [G] :  (m2_funct_2(G, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k7_cqc_lang(A, C, D), E, F, G), k15_cqc_sim1(A, B)) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), C, E, F, G), k15_cqc_sim1(A, B)) & r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), D, k30_qc_lang1(A, E, k7_cqc_sim1(A, C)), F, G), k15_cqc_sim1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m2_subset_1(B, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k2_qc_lang1(A), k3_qc_lang1(A)) =>  (! [E] :  (m1_subset_1(E, k1_qc_lang1(A)) =>  (! [F] :  (m1_subset_1(F, k5_finsub_1(k3_qc_lang1(A))) =>  (! [G] :  (m2_funct_2(G, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), k11_cqc_lang(A, D, C), E, F, G), k15_cqc_sim1(A, B)) => r2_hidden(k6_xtuple_0(C, k28_qc_lang1(A, E), k2_xboole_0(F, k6_domain_1(k3_qc_lang1(A), D)), k1_funct_4(G, k17_funcop_1(D, k2_qc_lang3(A, E)))), k15_cqc_sim1(A, B))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_boole, axiom,  (! [A] : k4_xboole_0(A, k1_xboole_0)=A) ).
fof(t3_cqc_sim1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] : k7_relat_1(k1_funct_4(C, k17_funcop_1(A, B)), k6_subset_1(D, k1_tarski(A)))=k7_relat_1(C, k6_subset_1(D, k1_tarski(A)))) ) ) ) ) ).
fof(t3_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) => k24_qc_lang1(A, k12_qc_lang1(A))=k1_xboole_0) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t43_cqc_sim1, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k1_qc_lang1(A)) =>  (! [C] :  (m2_subset_1(C, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [D] :  (m2_subset_1(D, k9_qc_lang1(A), k3_cqc_lang(A)) =>  (! [E] :  (m2_funct_2(E, k3_qc_lang1(A), k3_qc_lang1(A), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A))) =>  (! [F] :  (m1_subset_1(F, k5_finsub_1(k3_qc_lang1(A))) =>  ~ ( (r2_tarski(k5_domain_1(k3_cqc_lang(A), k1_qc_lang1(A), k5_finsub_1(k3_qc_lang1(A)), k9_funct_2(k3_qc_lang1(A), k3_qc_lang1(A)), D, B, F, E), k15_cqc_sim1(A, C)) & r2_tarski(k2_qc_lang3(A, B), k7_relat_1(E, k24_qc_lang1(A, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_boole, axiom,  (! [A] : k4_xboole_0(k1_xboole_0, A)=k1_xboole_0) ).
fof(t4_cqc_sim1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (! [D] :  ( ~ (r2_tarski(B, k7_relat_1(C, k6_subset_1(D, k1_tarski(A)))))  => k7_relat_1(k1_funct_4(C, k17_funcop_1(A, B)), k6_subset_1(D, k1_tarski(A)))=k6_subset_1(k7_relat_1(k1_funct_4(C, k17_funcop_1(A, B)), D), k1_tarski(B))) ) ) ) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_qc_lang3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (m1_qc_lang1(B) =>  (! [C] :  (m2_subset_1(C, k6_qc_lang1(B), k8_qc_lang1(B, A)) =>  (! [D] :  ( (v3_card_1(D, A) & m2_finseq_1(D, k2_qc_lang1(B)))  => k24_qc_lang1(B, k10_qc_lang1(B, C, D))=k23_qc_lang1(B, D)) ) ) ) ) ) ) ) ).
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_qc_lang3, axiom,  (! [A] :  (m1_qc_lang1(A) =>  (! [B] :  (m1_subset_1(B, k9_qc_lang1(A)) => k24_qc_lang1(A, k13_qc_lang1(A, B))=k24_qc_lang1(A, B)) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (B=k1_xboole_0 => A=k1_xboole_0)  => r2_tarski(C, k1_funct_2(A, B))) ) ) ) ) ).
fof(t92_funct_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k7_relat_1(k4_relat_1(A), B)=B) ) ) ).
