Consider the following premises. exists x_1: W_4(x_1). forall x_1: W_4(x_1) -> R(x_1). forall x_1: P_4(x_1) -> R(x_1). Can we infer forall x_1: ~R(x_1) from them?
 From exists x_1: W_4(x_1) we can infer exists x_1: W_4(x_1) or P_4(x_1). Finally, from forall x_1: W_4(x_1) -> R(x_1), forall x_1: P_4(x_1) -> R(x_1), exists x_1: W_4(x_1) or P_4(x_1) we can infer exists x_1: R(x_1), which contradicts forall x_1: ~R(x_1). Therefore, the answer is no.