Consider the following premises. exists x_5: ~Q_5(x_5) or R_3(x_5). forall x_5: R_3(x_5) -> R(x_5). forall x_5: P_5(x_5) or Q_5(x_5). forall x_5: ~P_5(x_5) or W_4(x_5). forall x_5: W_4(x_5) -> R(x_5). Can we infer forall x_5: ~R(x_5) from them?
 From forall x_5: P_5(x_5) or Q_5(x_5), forall x_5: ~P_5(x_5) or W_4(x_5) we can infer forall x_5: Q_5(x_5) or W_4(x_5). From forall x_5: Q_5(x_5) or W_4(x_5), exists x_5: ~Q_5(x_5) or R_3(x_5) we can infer exists x_5: W_4(x_5) or R_3(x_5). Finally, from forall x_5: W_4(x_5) -> R(x_5), forall x_5: R_3(x_5) -> R(x_5), exists x_5: W_4(x_5) or R_3(x_5) we can infer exists x_5: R(x_5), which contradicts forall x_5: ~R(x_5). Therefore, the answer is no.