Consider the following premises. forall x_13: P_13(x_13) or Q_13(x_13). forall x_13: P_13(x_13) -> S(x_13). forall x_13: Q_13(x_13) -> S(x_13). Can we infer S(j) or s from them?
 From forall x_13: P_13(x_13) -> S(x_13), forall x_13: Q_13(x_13) -> S(x_13), forall x_13: P_13(x_13) or Q_13(x_13) we can infer forall x_13: S(x_13). From forall x_13: S(x_13) we can infer S(j). Finally, from S(j) we can infer S(j) or s. Therefore, the answer is yes.