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by casercaramel144 715 days ago
You are bounded by the fact that the statement is provable. Let a statement M be provable with a proof length K. By contradiction, if K is non finite, the statement must not be provable. Thus, there must be some positive integer K s.t. the proof length < K. Thus, it suffices to enumerate all proofs of length < K.

Insofar as we are given provability, we can solve halting.