Peroxisomal protease that mediates both the removal of the leader peptide from proteins containing a PTS2 target sequence and processes several PTS1-containing proteins. Catalyzes the processing of PTS1-proteins involved in the peroxisomal beta-oxidation of fatty acids (By similarity). Inhibited by N-ethylmaleimide (NEM). Not affected by leupeptin or trans-epoxysuccinyl-l-leucylamido-(4-gianidino) butane (E64). Homodimer. Forms a heterodimer with the C-terminal cleavage product (49 kDa form). Forms a heterodimer with the N-terminal cleavage product (10 kDa form). Interacts with PEX5. Interacts with LONP2. By the proliferator-activated receptor alpha agonist bezafibrate. Self-cleavage gives rise to an N-terminal 10-kDa fragment and C-terminal 49-kDa fragment upon import into the peroxisomes. The full-lengh TYSND1 is the active the proteolytic processing of PTS1- and PTS2-proteins and in self-cleavage, and intermolecular self-cleavage of TYSND1 down-regulates its protease activity. Belongs to the peptidase S1B family.