Consider the following premises. forall x_8: U(x_8) -> P_8(x_8). forall x_8: P_8(x_8) -> Q_8(x_8). exists x_8: P_8(x_8) -> U(x_8). forall x_8: Q_8(x_8) -> R_8(x_8). Can we infer exists x_8: P_8(x_8) -> U(x_8) from them?
That is one of the premises. Therefore, the answer is yes.