Consider the following premises. forall y: ~W(y). forall y: Q(y) -> W(y). exists y: W_4(y) -> W(y). forall y: Q(y) or W_4(y). Can we infer forall y: ~Q_4(y) from them? If possible, name the inference rules being used at each step.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.