Consider the following English statements. 1. The lizard in the wood is poisonous. 2. The lizard in the hole is not poisonous. 3. All lizards are brown or black, but not both. 4. If there is a lizard which is not poisonous, then all poisonous lizards are green. a) Using the vocabulary specified in Table 2, express these English statements in First-order Logic (FOL). (6) b) Using your FOL statements, prove by resolution refutation that there is a Black lizard. Convert the FOL statements to clausal form (CNF). Then show that these clauses, together with the clausal form of the negated goal, is unsatisfiable. (9)