Consider the following premises. forall x_22: P_22(x_22) -> R_22(x_22). R_22(a) -> q_1. forall x_22: P_22(x_22) or Q_22(x_22). forall x_22: Q_22(x_22) -> R_22(x_22). Can we infer ~w_2 from them? If possible, name the inference rules being used at each step.
We cannot infer that from the premises. Therefore the answer is no.