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Clausal proof is used to certify unsat results of SAT solvers. However the main theoretical results are on resolution proof (for instance, the non existence of a polynomial resolution proof for the pigeon hole problem).

How can a clausal proof efficiently (i.e. in polynomial time) be converted to a resolution proof?

Is there any relationship between the size of the clausal proof and the corresponding size of the transformed resolution proof?

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  • $\begingroup$ Could you add some definitions? CDCL SAT solvers produce resolution proofs, which consists in clauses. $\endgroup$ – Mikolas Aug 23 '18 at 12:59

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