Consider the following premises. forall x_5: R(x_5) or ~T(x_5). forall x_5: ~P_2(x_5) or Q(x_5). exists x_5: P_2(x_5) or T(x_5). forall x_5: Q(x_5) -> R(x_5). Can we infer exists x_5: R(x_5) from them?
 From forall x_5: R(x_5) or ~T(x_5) we can infer forall x_5: T(x_5) -> R(x_5). From exists x_5: P_2(x_5) or T(x_5), forall x_5: ~P_2(x_5) or Q(x_5) we can infer exists x_5: T(x_5) or Q(x_5). Finally, from forall x_5: T(x_5) -> R(x_5), forall x_5: Q(x_5) -> R(x_5), exists x_5: T(x_5) or Q(x_5) we can infer exists x_5: R(x_5). Therefore, the answer is yes.