What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: For all x_5, if x_5 were excited, then x_5 is poor. There is at least one x_5 for which if x_5 plays tennis, then x_5 is excited. For all x_5, x_5 will play tennis or x_5 is not poor.
There is at least one x_5 for which if x_5 plays tennis, then x_5 is poor can be inferred via the existential transitivity rule. For all x_5, if x_5 were poor, then x_5 is playing tennis can be inferred via the universal rewriting rule.