Consider the following premises. forall y: S(y) -> P_3(y). forall y: S_3(y) or W_4(y). forall y: S_3(y) -> S(y). forall y: P_3(y) -> Q_1(y). forall y: W_4(y) -> S(y). Can we infer ~Q(a) from them? If possible, name the inference rules being used at each step.
We cannot infer that from the premises. Therefore the answer is no.