An ethics prof and family man must prove his rehabilitation to a court-appointed psychiatrist when found not guilty of rape by reason of insanity and committed to a mental asylum.

I see issues at both the logline and concept level here.

1. The logline is wordy. I had to read it a couple of times to grasp the concept entirely.
2. The description of the characters and the conflict it suggests – a “kind ethics professor” vs. a “depressed psychiatrist” – didn’t evoke images of a compelling story.
3. When you use an adjective to describe the hero, you’re indicating a flaw in their behavior/POV of the world that will/may change by the end of the film. If this hero starts as “kind,” what are they arcing toward? If it’s a downward-spiral story, hint at that in the logline.
4. Watching a film about a rapist striving for rehabilitation does not sound appealing unless you hint that self-sacrifice is involved in saving someone else.

The example below is a different version of your concept, but it may inspire some thoughts on how you can up the drama in your logline.

“An ethics professor sent to a mental institution for a rape he didn’t commit must overcome a vengeful psychiatrist to prove his innocence before temptation leads him to murder.”