Consider the following premises. R_7(g) -> S_14(a_14). forall x_7: R_7(x_7) <-> S_7(x_7). forall x_14: R_14(x_14) <-> S_14(x_14). ~R_14(a_14). Can we infer S_7(g) 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(a_14) <-> S_14(a_14) via universal instantiation. From R_14(a_14) <-> S_14(a_14), ~R_14(a_14) we can infer ~S_14(a_14) via biconditional elimination. From forall x_7: R_7(x_7) <-> S_7(x_7) we can infer R_7(g) <-> S_7(g) via universal instantiation. From R_7(g) -> S_14(a_14), ~S_14(a_14) we can infer ~R_7(g) via modus tollens. Finally, from R_7(g) <-> S_7(g), ~R_7(g) we can infer ~S_7(g) via biconditional elimination, which contradicts S_7(g). Therefore, the answer is no.