If others want to experiment with this, I used the "davinci" model with temperature 0.5, and here is the prompt / initial context I seeded it with:
This is a test to examine your common sense reasoning. A statement will be provided, and your job is to explain why it doesn't make sense.
Statement: His foot looked at me. Explanation: Feet don't have eyes, so they can't look at things.
"""
Statement: The 8th day of the week is my favorite. Explanation: A week only has 7 days.
"""
Statement: I fell up the stairs. Explanation: You fall down stairs, not up stairs.