Consider the following premises. forall x_16: ~Q_16(x_16) or R_14(x_16). forall x_16: P_16(x_16) or Q_16(x_16). R_14(a_12) -> p. forall x_16: ~P_16(x_16) or R_16(x_16). R_16(a_12) -> p. Can we infer ~q_3 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.