Consider the following premises. t <-> P_3(b_3). ~S_10(b_3). forall x_10: P_3(x_10) -> S_10(x_10). Can we infer ~t from them? If possible, name the inference rules being used at each step.
 From forall x_10: P_3(x_10) -> S_10(x_10) we can infer P_3(b_3) -> S_10(b_3) via universal instantiation. From P_3(b_3) -> S_10(b_3), ~S_10(b_3) we can infer ~P_3(b_3) via modus tollens. Finally, from t <-> P_3(b_3), ~P_3(b_3) we can infer ~t via biconditional elimination. Therefore, the answer is yes.