Consider the following premises. r_3 -> Q(a_12). forall x_12: Q(x_12) -> S_12(x_12). S_12(a_12) -> r_3. Can we infer Q(a_12) -> S_12(a_12) from them? If possible, name the inference rules being used at each step.
We can infer Q(a_12) -> S_12(a_12) via the universal instantiation rule. Therefore, the answer is yes.