Consider the following premises. If Joseph plays tennis, then Elisabeth is a police officer. Joseph is a soldier if and only if Elisabeth is a police officer. For all x_10, x_10 is a poet or x_10 will play tennis. For all x_10, x_10 is not a poet or x_10 is a soldier. Can we infer the following from them? Elisabeth is not a police officer.
 From the fact that for all x_10, x_10 is a poet or x_10 will play tennis, and that for all x_10, x_10 is not a poet or x_10 is a soldier we can infer that for all x_10, x_10 will play tennis or x_10 is a soldier. From the fact that for all x_10, x_10 will play tennis or x_10 is a soldier we can infer that Joseph is playing tennis or Joseph is a soldier. From the fact that Joseph is a soldier if and only if Elisabeth is a police officer we can infer that if Joseph were a soldier, then Elisabeth is a police officer. Finally, from the fact that if Joseph plays tennis, then Elisabeth is a police officer, that if Joseph were a soldier, then Elisabeth is a police officer, and that Joseph is playing tennis or Joseph is a soldier we can infer that Elisabeth is a police officer, which contradicts that Elisabeth is not a police officer. Therefore, the answer is no.