Consider the following premises. forall x_7: R_7(x_7) <-> S_7(x_7). forall x_14: R_14(x_14) <-> S_14(x_14). ~R_14(h_3). R_7(a_7) -> S_14(h_3). Can we infer S_7(a_7) from them? If possible, name the inference rules being used at each step.
 From forall x_14: R_14(x_14) <-> S_14(x_14) we can infer R_14(h_3) <-> S_14(h_3) via universal instantiation. From R_14(h_3) <-> S_14(h_3), ~R_14(h_3) we can infer ~S_14(h_3) via biconditional elimination. From forall x_7: R_7(x_7) <-> S_7(x_7) we can infer R_7(a_7) <-> S_7(a_7) via universal instantiation. From R_7(a_7) -> S_14(h_3), ~S_14(h_3) we can infer ~R_7(a_7) via modus tollens. Finally, from R_7(a_7) <-> S_7(a_7), ~R_7(a_7) we can infer ~S_7(a_7) via biconditional elimination, which contradicts S_7(a_7). Therefore, the answer is no.