Consider the following premises. forall x_4: ~Q_4(x_4) or R_2(x_4). forall x_4: P_4(x_4) or Q_4(x_4). forall x_4: ~P_4(x_4) or W(x_4). exists x_4: ~W(x_4) or R(x_4). Can we infer forall x_4: ~(R_2(x_4) or R(x_4)) from them?
That contradicts the premises. Therefore the answer is no.