Consider the following premises. exists x_8: ~P_8(x_8) or U(x_8). forall x_8: ~Q(x_8) or R(x_8). forall x_8: P_8(x_8) and Q_8(x_8). Can we infer forall x_8: ~(U(x_8) or R(x_8)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.