Consider the following premises. forall x_5: ~W(x_5) or R(x_5). exists x_5: ~Q_5(x_5) or Q_2(x_5). forall x_5: P_5(x_5) or Q_5(x_5). forall x_5: ~P_5(x_5) or W(x_5). Can we infer forall x_5: ~(Q_2(x_5) or R(x_5)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.