Catalyzes the hydrolysis of complex carboxylic polyesters found in the cell wall of plants (By similarity). Degrades cutin, a macromolecule that forms the structure of the plant cuticle (By similarity). cutin + H2O = cutin monomers. The 2 disulfide bonds play a critical role in holding the catalytic residues in juxta-position; reduction of the disulfide bridges results in the complete inactivation of the enzyme. Belongs to the cutinase family.