What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_9, x_9 is happy or x_9 is bored. There is at least one x_9 for which if x_9 were bored, then x_9 is a police officer. For all x_9, x_9 will write a letter if and only if x_9 is happy. For all x_9, if x_9 were a police officer, then x_9 is writing a letter.
There is at least one x_9 for which if x_9 were bored, then x_9 is writing a letter. For all x_9, if x_9 writes a letter, then x_9 is happy. For all x_9, if x_9 were happy, then x_9 is writing a letter.