A 64-year-old woman presented to the clinic with a 2- year history of falling that had progressed over time. She reported she would just suddenly fall, without a trigger. She noticed difficulty going down stairs. On examination, in primary gaze, she had subtle jerk nystagmus. Her neck was hyperextended and she had difficulty flexing it. She had impaired vertical gaze, predominantly on downward gaze. However, on vertical oculocephalic maneuver, downward eye movements were normal. There was mild bilateral rigidity in the upper extremities. On the pull test (examiner pulls the patient backward, instructing the patient to take a step back and prevent falling), she had significant retropulsion and would have fallen if not caught by the examiner. What is the most likely diagnosis in this patient?