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Automated theorem proving is the proving of mathematical theorems by a computer program.

25 votes

If P=NP, could we obtain proofs of Goldbach's Conjecture etc.?

Dana has answered the question. But here are some comments on the practical side. Note that it is undecidable to check if a given sentence is provable in ZFC. $P=NP$ has no consequence on this. $P=NP …
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