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 works, then x_12 is a carpenter. For all x_12, x_12 is fast or x_12 will listen to a song. For all x_12, if x_12 listens to a song, then x_12 is working. For all x_12, if x_12 were fast, then x_12 is working. For all x_12, x_12 is a police officer if and only if x_12 is a carpenter.
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 fast, then x_12 is a carpenter. For all x_12, x_12 will work. For all x_12, if x_12 were a police officer, then x_12 is a carpenter. For all x_12, if x_12 were a carpenter, then x_12 is a police officer.