Number (8): Everything in this space must add up to 8. The answer is 5-4, placed horizontally; 0-4, placed horizontally.
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NHS England and counterparts in the rest of the UK are seeking to increase supplies from four other manufacturers that supply the NHS.
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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.