Consider the following premises. P_13(a_12) -> p. Q_13(a_12) -> p. forall x_13: P_13(x_13). Can we infer p or q from them? If possible, name the inference rules being used at each step.
 From forall x_13: P_13(x_13) we can infer forall x_13: P_13(x_13) or Q_13(x_13) via universal addition. From forall x_13: P_13(x_13) or Q_13(x_13) we can infer P_13(a_12) or Q_13(a_12) via universal instantiation. From P_13(a_12) -> p, Q_13(a_12) -> p, P_13(a_12) or Q_13(a_12) we can infer p via disjunction elimination. Finally, from p we can infer p or q via addition. Therefore, the answer is yes.