Consider the following premises. forall x_19: R_19(x_19) -> S_19(x_19). s or ~S_19(i_1). p_6 -> S_19(i_1). p_6 or R_19(i_1). Can we infer ~s from them? If possible, name the inference rules being used at each step.
 From forall x_19: R_19(x_19) -> S_19(x_19) we can infer R_19(i_1) -> S_19(i_1) via universal instantiation. From s or ~S_19(i_1) we can infer S_19(i_1) -> s via rewriting. From p_6 -> S_19(i_1), R_19(i_1) -> S_19(i_1), p_6 or R_19(i_1) we can infer S_19(i_1) via disjunction elimination. Finally, from S_19(i_1) -> s, S_19(i_1) we can infer s via modus ponens, which contradicts ~s. Therefore, the answer is no.