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, x_8 will sleep if and only if x_8 will write a letter. For all x_8, x_8 is curious if and only if x_8 will write a letter. For all x_8, x_8 will not sleep. For all x_8, if x_8 were curious, then x_8 is writing a letter.
For all x_8, if x_8 sleeps, then x_8 is writing a letter. For all x_8, if x_8 were curious, then x_8 is writing a letter. For all x_8, if x_8 writes a letter, then x_8 is sleeping. For all x_8, if x_8 writes a letter, then x_8 is curious. For all x_8, x_8 will not write a letter.