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 will work and x_7 is a poet. There is at least one x_7 for which if x_7 were fast, then x_7 is not cooking. For all x_7, if x_7 works, then x_7 is cooking.
For all x_7, x_7 will work can be inferred via the universal simplification rule. For all x_7, x_7 is a poet can be inferred via the universal simplification rule.