What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_15, x_15 is bored if and only if x_15 is excited. For all x_15, if x_15 were happy, then x_15 is taking a plane. For all x_15, if x_15 plays a game, then x_15 is excited. For all x_15, x_15 will play a game or x_15 is bored. For all x_15, x_15 is happy if and only if x_15 is excited.
For all x_15, if x_15 were bored, then x_15 is excited. For all x_15, if x_15 were happy, then x_15 is excited. For all x_15, if x_15 were excited, then x_15 is bored. For all x_15, if x_15 were excited, then x_15 is happy.