Consider the following premises. forall x_3: T(x_3) or S_1(x_3). forall x_3: S_1(x_3) -> S(x_3). forall x_3: S(x_3) -> P(x_3). forall x_3: T(x_3) -> S(x_3). Can we infer P(e_3) from them?
 From forall x_3: T(x_3) -> S(x_3), forall x_3: S_1(x_3) -> S(x_3), forall x_3: T(x_3) or S_1(x_3) we can infer forall x_3: S(x_3). From forall x_3: S(x_3) -> P(x_3), forall x_3: S(x_3) we can infer forall x_3: P(x_3). Finally, from forall x_3: P(x_3) we can infer P(e_3). Therefore, the answer is yes.