Consider the following premises. forall x_8: P_8(x_8) or Q_8(x_8). forall x_8: P_8(x_8) -> Q(x_8). forall x_8: Q(x_8) -> Q_1(x_8). forall x_8: Q_1(x_8) -> W(x_8). forall x_8: Q_8(x_8) -> Q(x_8). Can we infer forall x_8: W(x_8) from them?
 From forall x_8: P_8(x_8) -> Q(x_8), forall x_8: Q_8(x_8) -> Q(x_8), forall x_8: P_8(x_8) or Q_8(x_8) we can infer forall x_8: Q(x_8). From forall x_8: Q(x_8) -> Q_1(x_8), forall x_8: Q_1(x_8) -> W(x_8) we can infer forall x_8: Q(x_8) -> W(x_8). Finally, from forall x_8: Q(x_8) -> W(x_8), forall x_8: Q(x_8) we can infer forall x_8: W(x_8). Therefore, the answer is yes.