Consider the following premises. exists x_5: P_5(x_5) <-> U_4(x_5). forall x_5: U_4(x_5) or Q(x_5). forall x_5: ~P_5(x_5). Can we infer forall x_5: ~Q(x_5) from them?
 From exists x_5: P_5(x_5) <-> U_4(x_5), forall x_5: ~P_5(x_5) we can infer exists x_5: ~U_4(x_5). Finally, from forall x_5: U_4(x_5) or Q(x_5), exists x_5: ~U_4(x_5) we can infer exists x_5: Q(x_5), which contradicts forall x_5: ~Q(x_5). Therefore, the answer is no.