Consider the following premises. exists x_10: R(x_10) and Q_10(x_10). forall x_10: S(x_10). forall x_10: S(x_10) -> W(x_10). Can we infer forall x_10: ~(R(x_10) and W(x_10)) from them? If possible, name the inference rules being used at each step.
 From exists x_10: R(x_10) and Q_10(x_10) we can infer exists x_10: R(x_10) via existential simplification. From forall x_10: S(x_10) -> W(x_10), forall x_10: S(x_10) we can infer forall x_10: W(x_10) via universal modus ponens. Finally, from exists x_10: R(x_10), forall x_10: W(x_10) we can infer exists x_10: R(x_10) and W(x_10) via existential conjunction, which contradicts forall x_10: ~(R(x_10) and W(x_10)). Therefore, the answer is no.