Consider the following premises. ~S_17(d_1) or u. forall x_17: R_17(x_17) -> S_17(x_17). R_17(d_1). Can we infer r_3 or u 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(d_1) -> S_17(d_1) via universal instantiation. From R_17(d_1) -> S_17(d_1), R_17(d_1) we can infer S_17(d_1) via modus ponens. From S_17(d_1) we can infer S_17(d_1) or r_3 via addition. Finally, from S_17(d_1) or r_3, ~S_17(d_1) or u we can infer r_3 or u via resolution. Therefore, the answer is yes.