Consider the following premises. p_13 or q. ~p_13. forall x_20: ~U(x_20). forall x_20: U(x_20) or T_4(x_20). Can we infer T_4(e_4) and q from them? If possible, name the inference rules being used at each step.
 From forall x_20: U(x_20) or T_4(x_20), forall x_20: ~U(x_20) we can infer forall x_20: T_4(x_20) via universal disjunctive syllogism. From p_13 or q, ~p_13 we can infer q via disjunctive syllogism. From forall x_20: T_4(x_20) we can infer T_4(e_4) via universal instantiation. Finally, from T_4(e_4), q we can infer T_4(e_4) and q via conjunction. Therefore, the answer is yes.