This past week Team USA won gold in both the women’s and men’s ice hockey at the Winter Olympics, presenting Donald Trump with a golden opportunity. Instead of seizing the easy political points, he embraced his chance to ingratiate himself with the boys by inviting them to the State of the Union address. He followed up his offer of a military jet shuttle to Washington DC with a lament that he would have to also invite the women’s team. It was a bit that lit up the locker room with laughter.
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I used z3 theorem prover to assess LLM output, which is a pretty decent SAT solver. I considered the LLM output successful if it determines the formula is SAT or UNSAT correctly, and for SAT case it needs to provide a valid assignment. Testing the assignment is easy, given an assignment you can add a single variable clause to the formula. If the resulting formula is still SAT, that means the assignment is valid otherwise it means that the assignment contradicts with the formula, and it is invalid.