What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_12, if x_12 listens to a song, then x_12 is a carpenter. For all x_12, if x_12 were a bartender, then x_12 is a lawyer. There is at least one x_12 for which if x_12 cooks, then x_12 is not a lawyer. For all x_12, x_12 will listen to a song or x_12 is a bartender. For all x_12, x_12 is a lawyer if and only if x_12 is a carpenter.
For all x_12, if x_12 were a lawyer, then x_12 is a carpenter. For all x_12, if x_12 were a carpenter, then x_12 is a lawyer.