Consider the following premises. exists x_5: ~P_5(x_5). forall x_5: P_5(x_5) or Q_5(x_5). forall x_5: S(x_5). Can we infer forall x_5: ~(S(x_5) and Q_5(x_5)) from them?
 From forall x_5: P_5(x_5) or Q_5(x_5), exists x_5: ~P_5(x_5) we can infer exists x_5: Q_5(x_5). Finally, from forall x_5: S(x_5), exists x_5: Q_5(x_5) we can infer exists x_5: S(x_5) and Q_5(x_5), which contradicts forall x_5: ~(S(x_5) and Q_5(x_5)). Therefore, the answer is no.