"George has a dog called Ernie, which is a trained Labrador. Trained Labradors and poodles are obedient, and all obedient dogs are good dogs. All good dogs that have a master will be with their master. On hot days, George always goes to the beach, but on cold days he goes to the museum.

Today is a cold day." 

(a)  Choose a suitable set of predicates, functions and constant symbols for representing the above knowledge in First Order Logic, and provide a glossary where you indicate their intended meaning.

(b)  Using only the predicates, functions and constant symbols you have described above, write sentences in first-order logic that represent this knowledge. 

(c)  Convert the sentences into clausal form and give the resulting set of clauses. 

(d)  Use resolution refutation to find the answer to the question "Where is Ernie?". Show the complete resolution derivation (in sequence or tree form), clearly indicating which clauses are resolved, and the unifier used.