A pilot was in the left seat and was receiving a check ride from the chief pilot in the right seat. During a series of touchdown and landing maneuvers, the aircraft exhibited a slight leftward pull during takeoff. The pilot intended to make a full stop landing on Runway 17R, and both pilots reported that a normal touchdown resulted in the aircraft pulling to the left. Despite full rudder and reverse propeller, the aircraft was unable to maintain its course. The aircraft departed the left side of the runway and the left main landing gear collapsed during the descent. Maintenance supervisor inspection revealed both left main tires were blown out, with the holes aligned as if the wheels had not rotated after locking. The brakes were very hot, but could be rotated by hand. Investigation did not reveal a malfunction or determine the sequence of events prior to failure.A pilot was in the left seat and was receiving a check ride from the chief pilot in the right seat. During a series of touchdown and landing maneuvers, the aircraft exhibited a slight leftward pull during takeoff. The pilot intended to make a full stop landing on Runway 17R, and both pilots reported that a normal touchdown resulted in the aircraft pulling to the left. Despite full rudder and reverse propeller, the aircraft was unable to maintain its course. The aircraft departed the left side of the runway and the left main landing gear collapsed during the descent. Maintenance supervisor inspection revealed both left main tires were blown out, with the holes aligned as if the wheels had not rotated after locking. The brakes were very hot, but could be rotated by hand. Investigation did not reveal a malfunction or determine the sequence of events prior to failure.