Any person claiming title to land presumed to be owned by the state shall have the right to file an action at law in inverse eminent domain within two (2) years from the date actual possession is taken, saving, however, to unknown owners and nonresidents, twelve (12) months after actual knowledge of possession, not exceeding two (2) years, and saving to persons under the disabilities of infancy and unsoundness of mind, twelve (12) months after the disability is removed, but not exceeding two (2) years, except those claims required to be asserted as a compulsory counterclaim.