Your original claim was that an LLM can reason. And you say it can be proven by picking one of these prompts with a large codomain that has a precise answer which requires reason. If an LLM can come to a specific answer out of a huge codomain, and that answer requires reason, you claim that proves reasoning. Do I have that right?

So my question is, and has been these three replies: Can you give any example of one of these prompts?