Consider the following premises. forall x_13: Q_13(x_13) -> R_13(x_13). forall x_13: P_13(x_13) -> R_13(x_13). P_7(a_5) or t. forall x_13: P_13(x_13) or Q_13(x_13). forall x_13: P_7(x_13) -> ~R_13(x_13). Can we infer ~s 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.