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Be careful, a polynomial algorithm, that finds a minimal unsatisfiable core of a given CNF ๐น, doesnโ€™t mean that ๐‘ƒ=๐‘๐‘ƒ, because the algorithm could output a Boolean formula ๐บ such that if ๐น is unsatisfiable, ๐บ is a minimal unsatisfiable core of ๐น; if ๐น is satisfiable, ๐บ is a subset of the clauses of ๐น and it is satisfiable. Therefore, the output of ...

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