What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_13, x_13 is rich if and only if x_13 will cook. For all x_13, x_13 is not a poet. For all x_13, x_13 will cook if and only if x_13 will write a letter. There is at least one x_13 for which x_13 is a poet if and only if x_13 is rich.
For all x_13, if x_13 were rich, then x_13 is cooking. For all x_13, if x_13 cooks, then x_13 is writing a letter. There is at least one x_13 for which if x_13 were a poet, then x_13 is rich. For all x_13, if x_13 cooks, then x_13 is rich. For all x_13, if x_13 writes a letter, then x_13 is cooking. There is at least one x_13 for which if x_13 were rich, then x_13 is a poet. There is at least one x_13 for which x_13 is not rich.