Consider the following premises. forall x_10: U_1(x_10) -> S_10(x_10). q_1 -> U_1(c_3). r_4 -> q_1. Can we infer r_4 -> S_10(c_3) from them?
 From forall x_10: U_1(x_10) -> S_10(x_10) we can infer U_1(c_3) -> S_10(c_3). From r_4 -> q_1, q_1 -> U_1(c_3) we can infer r_4 -> U_1(c_3). Finally, from r_4 -> U_1(c_3), U_1(c_3) -> S_10(c_3) we can infer r_4 -> S_10(c_3). Therefore, the answer is yes.