Consider the following premises. forall y_2: R(y_2) -> U(y_2). forall y_2: W_4(y_2) or ~U(y_2). exists y_2: R_4(y_2) -> Q_1(y_2). forall y_2: Q_1(y_2) -> R(y_2). Can we infer forall y_2: ~(R_4(y_2) -> W_4(y_2)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.