Consider the following premises. forall x_12: S_4(x_12) or Q_4(x_12). forall x_12: W(x_12) and Q_12(x_12). exists x_12: ~S_4(x_12). Can we infer exists x_12: Q_4(x_12) and W(x_12) from them?
 From forall x_12: W(x_12) and Q_12(x_12) we can infer forall x_12: W(x_12). From forall x_12: S_4(x_12) or Q_4(x_12), exists x_12: ~S_4(x_12) we can infer exists x_12: Q_4(x_12). Finally, from exists x_12: Q_4(x_12), forall x_12: W(x_12) we can infer exists x_12: Q_4(x_12) and W(x_12). Therefore, the answer is yes.