Consider the following premises. w <-> t. forall x_32: R_32(x_32) -> S_32(x_32). R_32(a_32) or q_24. s_3 -> ~S_32(a_32). q_24 -> S_32(a_32). ~w. Can we infer s_3 from them? If possible, name the inference rules being used at each step.
 From forall x_32: R_32(x_32) -> S_32(x_32) we can infer R_32(a_32) -> S_32(a_32) via universal instantiation. From R_32(a_32) -> S_32(a_32), q_24 -> S_32(a_32), R_32(a_32) or q_24 we can infer S_32(a_32) via disjunction elimination. From w <-> t, ~w we can infer ~t via biconditional elimination. Finally, from s_3 -> ~S_32(a_32), S_32(a_32) we can infer ~s_3 via modus tollens, which contradicts s_3. Therefore, the answer is no.