Consider the following premises. exists x_1: U_2(x_1) -> Q_1(x_1). forall x_1: ~Q_1(x_1). forall x_1: U_2(x_1) or Q(x_1). Can we infer forall x_1: ~Q_1(x_1) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.