What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? There is at least one x for which x will cook if and only if x will write a letter. For all x, if x cooks, then x is writing a letter.
There is at least one x for which if x cooks, then x is writing a letter. There is at least one x for which if x writes a letter, then x is cooking.