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_7, x_7 is excited. For all x_7, x_7 will cook or x_7 will not sleep. There is at least one x_7 for which if x_7 were excited, then x_7 is sleeping.
There is at least one x_7 for which x_7 will sleep can be inferred via the existential modus ponens rule. For all x_7, if x_7 sleeps, then x_7 is cooking can be inferred via the universal rewriting rule.