Consider the following premises. T_3(c) -> s. S_12(c) -> T_3(c). forall x_12: T_3(x_12) -> S_12(x_12). Can we infer S_12(c) -> s from them?
 From forall x_12: T_3(x_12) -> S_12(x_12) we can infer T_3(c) -> S_12(c). From T_3(c) -> S_12(c), S_12(c) -> T_3(c) we can infer T_3(c) <-> S_12(c). From T_3(c) <-> S_12(c) we can infer S_12(c) -> T_3(c). Finally, from S_12(c) -> T_3(c), T_3(c) -> s we can infer S_12(c) -> s. Therefore, the answer is yes.