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, x will work. For all x, if x were a poet, then x is cooking. There is at least one x for which if x cooks, then x is a scientist. For all x, if x works, then x is a scientist.
For all x, x is a scientist can be inferred via the universal modus ponens rule. There is at least one x for which if x were a poet, then x is a scientist can be inferred via the existential transitivity rule.