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