What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_6, if x_6 listens to a song, then x_6 is working. For all x_6, if x_6 works, then x_6 is a writer. For all x_6, if x_6 were a writer, then x_6 is cooking. For all x_6, if x_6 cooks, then x_6 is listening to a song.
For all x_6, if x_6 listens to a song, then x_6 is a writer. For all x_6, if x_6 works, then x_6 is cooking. For all x_6, if x_6 were a writer, then x_6 is listening to a song. For all x_6, if x_6 cooks, then x_6 is working.