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What is the resolvent of two clauses?

  • A.The shorter of the two clauses after the longer has been discarded
  • B.The clause obtained by combining every literal from both of them
  • C.The clause that remains when the two have been fully simplified
  • D.The clause containing all their literals except the complementary pair

Answer: D

Resolving on a complementary pair removes both and unions the remainder, so the resolvent is entailed by the two parents. In the first order case a unifying substitution is applied first. Discarding, plain union and simplification describe different operations. Knowing exactly what a rule produces, rather than roughly what it does, is what allows an implementation to be written correctly at the first attempt.

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