Consider the following premises. S_12(a_12) -> R_10(g). forall x_12: R_12(x_12) <-> S_12(x_12). forall x_10: ~R_10(x_10). Can we infer R_12(a_12) from them? If possible, name the inference rules being used at each step.
 From forall x_12: R_12(x_12) <-> S_12(x_12) we can infer R_12(a_12) <-> S_12(a_12) via universal instantiation. From forall x_10: ~R_10(x_10) we can infer ~R_10(g) via universal instantiation. From S_12(a_12) -> R_10(g), ~R_10(g) we can infer ~S_12(a_12) via modus tollens. Finally, from R_12(a_12) <-> S_12(a_12), ~S_12(a_12) we can infer ~R_12(a_12) via biconditional elimination, which contradicts R_12(a_12). Therefore, the answer is no.