Consider the following premises. forall x_2: ~P_2(x_2) or Q(x_2). forall x_2: P_2(x_2) or Q_1(x_2). exists x_2: ~Q_1(x_2) or R(x_2). Can we infer forall x_2: ~(Q(x_2) or R(x_2)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.