INFORMATION PROCESSING SYSTEM

An information processing system of the present invention includes: a mobile wireless device including a first wireless communicating means; a wireless authentication device; and a distance acquiring means for acquiring distance information representing a distance between the mobile wireless device and the wireless authentication device. The second wireless communicating means transmits an authentication information request to the mobile wireless device. The first wireless communicating means receives the authentication information request and transmits the authentication information to the wireless authentication device. The second wireless communicating means receives the authentication information. When the distance represented by the acquired distance information is equal to or less than a preset threshold, the authenticating means performs authentication that is to determine whether the mobile wireless device is associated with the wireless authentication device, based on the received authentication information.