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 x_8 for which if x_8 were bored, then x_8 is excited. For all x_8, if x_8 were poor, then x_8 is bored. For all x_8, x_8 will not sleep or x_8 is excited. For all x_8, x_8 will sleep or x_8 is poor. For all x_8, if x_8 were excited, then x_8 is bored.
There is at least one x_8 for which if x_8 were poor, then x_8 is excited. For all x_8, x_8 is poor or x_8 is excited. There is at least one x_8 for which x_8 is bored if and only if x_8 is excited. There is at least one x_8 for which x_8 is excited if and only if x_8 is bored.