A propositional knowledge-base KB consisting of five sentences is given below (note that "/\" is used to denote "logical and", and "\/" is used to denote "logical or", and "~" is used to denote "logical negation"):  1. (~P  /\  ~Q ) -> R 2. R -> S 3. ~S 4. P -> ~U 5. U (a). Explain in English  that KB |= Q. (b). Show resolution steps that leads to KB |- Q. You should first convert the sentences in the KB into clauses.

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A propositional knowledge-base KB consisting of five sentences is given below (note that "/\" is used to denote "logical and", and "\/" is used to denote "logical or", and "~" is used to denote "logical negation"): 
1. (~P  /\  ~Q ) -> R
2. R -> S
3. ~S
4. P -> ~U
5. U

(a). Explain in English  that KB |= Q.
(b). Show resolution steps that leads to KB |- Q. You should first convert the sentences in the KB into clauses.

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