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.
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England have not committed to fielding their strongest side in Friday’s do-not-necessarily-have-to-win T20 World Cup encounter with New Zealand but Jos Buttler will be given the chance to turn around his miserable run of form, with the team’s coaching staff convinced that a return to familiar lofty standards is imminent.
Paul Costelloe's son pays tribute