Consider the following premises. exists x_1: W(x_1) -> Q_1(x_1). forall x_1: ~Q_1(x_1). forall x_1: W(x_1) or Q(x_1). Can we infer exists x_1: Q(x_1) from them?
 From exists x_1: W(x_1) -> Q_1(x_1), forall x_1: ~Q_1(x_1) we can infer exists x_1: ~W(x_1). Finally, from forall x_1: W(x_1) or Q(x_1), exists x_1: ~W(x_1) we can infer exists x_1: Q(x_1). Therefore, the answer is yes.