What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all z_3, z_3 is a poet if and only if z_3 will drive a car. For all z_3, z_3 is not a politician. For all z_3, if z_3 were a sailor, then z_3 is writing a letter. For all z_3, z_3 is a poet if and only if z_3 will write a letter. For all z_3, if z_3 writes a letter, then z_3 is a politician. For all z_3, if z_3 were a politician, then z_3 is a sailor.
For all z_3, z_3 will not write a letter. For all z_3, if z_3 were a sailor, then z_3 is a politician. For all z_3, if z_3 writes a letter, then z_3 is a sailor. For all z_3, if z_3 were a politician, then z_3 is writing a letter. For all z_3, if z_3 were a poet, then z_3 is driving a car. For all z_3, if z_3 were a poet, then z_3 is writing a letter. For all z_3, if z_3 drives a car, then z_3 is a poet. For all z_3, if z_3 writes a letter, then z_3 is a poet.