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_1 for which x_1 is bored if and only if x_1 is excited. For all x_1, if x_1 were bored, then x_1 is rich. For all x_1, x_1 is not rich. For all x_1, if x_1 were excited, then x_1 is bored.
For all x_1, x_1 is not bored. For all x_1, if x_1 were excited, then x_1 is rich. There is at least one x_1 for which if x_1 were bored, then x_1 is excited. There is at least one x_1 for which if x_1 were excited, then x_1 is bored.