"Snowmobile" means a self-propelled vehicle that:
(1) Is capable of traveling over snow or ice;
(2) Uses as its means of propulsion an endless belt tread or cleats or any combination of tread and cleats or similar means of contact with the surface upon which it is operated;
(3) Is steered wholly or in part by skis or sled-type runners; and
(4) Is not registered in this state as a vehicle other than a snowmobile.