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