Consider the following premises. forall x_17: R_17(x_17) -> S_17(x_17). p_5 <-> S_17(a_17). R_17(a_17) or ~S_17(a_17). ~p_5. Can we infer R_17(a_17) from them? If possible, name the inference rules being used at each step.
 From forall x_17: R_17(x_17) -> S_17(x_17) we can infer R_17(a_17) -> S_17(a_17) via universal instantiation. From R_17(a_17) or ~S_17(a_17) we can infer S_17(a_17) -> R_17(a_17) via rewriting. From p_5 <-> S_17(a_17), ~p_5 we can infer ~S_17(a_17) via biconditional elimination. From S_17(a_17) -> R_17(a_17), R_17(a_17) -> S_17(a_17) we can infer S_17(a_17) <-> R_17(a_17) via biconditional introduction. Finally, from S_17(a_17) <-> R_17(a_17), ~S_17(a_17) we can infer ~R_17(a_17) via biconditional elimination, which contradicts R_17(a_17). Therefore, the answer is no.