Discussion
Why does that connection matter in practice?
Answer: B
Since a conflict driven solver produces a resolution proof, lower bounds on the length of resolution proofs for a family of formulas bound how quickly any such solver can decide them. Certain pigeonhole formulas require exponentially long resolution proofs and defeat every such solver accordingly. Replacement, first order use and polynomial termination do not follow. Theory bounding what engineering can achieve, rather than merely describing it, is an unusually useful kind of result.
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