Use the rules of inference to prove the conclusion given all 1,2,3 and 4) the four premises listed below. Write your solution as a numbered sequence of statements. Identify each statement as either a premise, or a conclusion that follows according to a rule of inference from previous statements, or it is equivalent to a previous statement by the rules of logical equivalences. You should give the rule used by name and refer by number to the previous statement(s) that the rule was applied to. 1. p +- (premise)
2. pVu (premise)
3. (premise)
4. ((r^t) V p) V-u (premise)
Formalize the following argument by using the given predicates and then rewriting the argument as a numbered sequence of statements. Identify each statement as either a premise, or a conclusion that follows according to a rule of inference from previous statements. In that case, state the rule of inference and refer by number to the previous statements that the rule of inference used. Lions hunt antelopes. Ramses is a lion. Ramses does not hunt Sylvester. Therefore, Sylvester is not an antelope. Predicates: H(x, y)= x hunts y, L(x)=x is a lion" and A(x)=x is an ante- lope. The domain of discourse is all animals.