Question 3 (20 points) Suppose propositional sentences and knowledge-base here. We have a knowledgebase called KB. KBPrime is defined as an union of (1) KB and (2) the negation of a propositional predicate P. Answer true/false to the following questions. Note that "|=" is used to denote entailment, and "|-" is used to denote derivation through resolution. (a). (5 marks) If KB=P, then KB - P. That is, if KB entails P, then KB derives (using resolution) P. (b). (5 marks) If KBP, then KB=P. (c). (5 marks) If KBPrime |- [], then KBPrime is not satisfiable. (d). (5 marks) If KBPrime is not satisfiable, then KBPrime |- []