Function Davis Putnam(φ: CNF formula) : Boolean Unit Propagation(φ) Pure Literal Rule(φ) ifφ= φ then returntrue if□ ∈φthen returnfalse l←literal in c ∈φhaving c the minimum length RL←all possible non-tautological resolvent clauses between all clauses in CLand all clauses in CĹ return Davis Putnam(φ∪ RL\ (CL ∪ CĹ ))

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