Consider the following premises. exists x_11: Q_11(x_11) -> S(x_11). forall x_11: P_11(x_11) or Q_11(x_11). forall x_11: ~S(x_11) or R(x_11). forall x_11: P_11(x_11) -> S(x_11). Can we infer forall x_11: ~(W(x_11) or R(x_11)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.