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_10, x_10 is not an electrician. For all x_10, x_10 is a poet if and only if x_10 is an electrician. For all x_10, x_10 is not a writer or x_10 will cook. For all x_10, x_10 is a writer or x_10 is a poet.
For all x_10, x_10 is a poet or x_10 will cook can be inferred via the universal resolution rule. For all x_10, if x_10 were a poet, then x_10 is an electrician can be inferred via the universal biconditional elimination rule. For all x_10, if x_10 were an electrician, then x_10 is a poet can be inferred via the universal biconditional elimination rule. For all x_10, x_10 is not a poet can be inferred via the universal biconditional elimination rule.