Abstract: A system has a server and an on-vehicle unit. The on-vehicle unit verifies whether a battery currently mounted in the vehicle is valid based on identification information given to the battery. The on-vehicle unit transmits to the server a request for verifying the identification information with a data base when it is verified that the battery currently mounted in the vehicle is invalid. The server searches the data base as to whether there is identification information in question which matches data in the data base, and notifies the on-vehicle unit of information showing that the identification information in question matches a stolen battery when a search result reveals that the identification information in question matches the data. The on-vehicle unit limits use of the unauthorized battery, that is, use of the vehicle when it is notified by the server that the identification information in question matches the stolen battery.