What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_8, if x_8 writes a letter, then x_8 is excited. For all x_8, if x_8 sleeps, then x_8 is sad. For all x_8, if x_8 were sad, then x_8 is writing a letter. For all x_8, if x_8 were excited, then x_8 is sleeping.
For all x_8, if x_8 writes a letter, then x_8 is sleeping. For all x_8, if x_8 sleeps, then x_8 is writing a letter. For all x_8, if x_8 were sad, then x_8 is excited. For all x_8, if x_8 were excited, then x_8 is sad.