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_4, x_4 will play a game or x_4 will not cook. There is at least one x_4 for which if x_4 were a poet, then x_4 is playing a game. For all x_4, x_4 is a poet.
There is at least one x_4 for which x_4 will play a game can be inferred via the existential modus ponens rule. For all x_4, if x_4 cooks, then x_4 is playing a game can be inferred via the universal rewriting rule.