1. A processing system including a machine tool, a robot which supplies or ejects a workpiece to or from the machine tool, and a capturing device which is arranged on a movable section of the robot and captures a tool of the machine tool, the processing system comprising: an image processing part which compares a reference image of the tool captured by the capturing device to an image of the tool captured by the capturing device at each time when a predetermined number of processing operations are finished, and detects an amount of abrasion of the tool; a correcting part which corrects a tool position in a processing program of the machine tool based on the amount of abrasion; and an outputting part which calculates a number of remaining possible processing operations until the amount of abrasion reaches a predetermined limit amount of abrasion of the tool, based on an amount of tool abrasion per one processing operation, and externally outputs the calculated number of remaining possible processing operations.