What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? There is at least one z for which z will play a game if and only if z will go running. For all z, z will sleep if and only if z will go running. For all z, z will not sleep.
For all z, if z sleeps, then z is running. There is at least one z for which if z plays a game, then z is running. For all z, if z goes running, then z is sleeping. There is at least one z for which if z goes running, then z is playing a game. For all z, z will not go running.