Consider the following premises. exists x_1: Q(x_1) -> ~T(x_1). forall x_1: W(x_1). forall x_1: W(x_1) -> T(x_1). Can we infer forall x_1: Q(x_1) from them? If possible, name the inference rules being used at each step.
 From forall x_1: W(x_1) -> T(x_1), forall x_1: W(x_1) we can infer forall x_1: T(x_1) via universal modus ponens. Finally, from exists x_1: Q(x_1) -> ~T(x_1), forall x_1: T(x_1) we can infer exists x_1: ~Q(x_1) via existential modus tollens, which contradicts forall x_1: Q(x_1). Therefore, the answer is no.