What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_10, if x_10 were a writer, then x_10 is a nurse. For all x_10, if x_10 sleeps, then x_10 is a writer. For all x_10, if x_10 were a nurse, then x_10 is writing a letter. There is at least one x_10 for which x_10 will sleep if and only if x_10 will write a letter.
For all x_10, if x_10 were a writer, then x_10 is writing a letter. For all x_10, if x_10 sleeps, then x_10 is a nurse. There is at least one x_10 for which if x_10 sleeps, then x_10 is writing a letter. There is at least one x_10 for which if x_10 writes a letter, then x_10 is sleeping.