On February 10, 2001, at 1307 hours Pacific standard time, a Cessna 195A, N95U, sustained substantial damage when it departed runway 13L and nosed over on landing at the Palm Springs Regional airport, Palm Springs, California. The airplane was owned and operated, under the provisions of 14 CFR Part 91, by the Certified Flight Instructor, who along with his Airline Transport Pilot rated dual student, was not injured. Visual metrological conditions prevailed. No flight plan was filed for the instructional flight, which originated from Borego Springs, California, approximately 1230. Both pilots were interviewed by National Transportation Safety Board investigators. The instructor pilot stated he was providing an airplane checkout to the dual student, who was at the controls during landing. During the landing roll, the airplane veered to the right. The instructor told the student to add left aileron, but the airplane continued to the right. The instructor took the controls but was not able to keep the airplane on the runway. The airplane departed the right side of the runway, and as the main gear entered the dirt, the airplane nosed over and came to rest inverted.