Consider the following premises. For all x_12, x_12 is not a poet. For all x_12, x_12 will not write a letter or x_12 is a poet. For all x_12, x_12 is not a cashier. For all x_12, x_12 will write a letter or x_12 is a cashier. Can we infer the following from them? For all x_12, x_12 will make tea or x_12 is a doctor.
 From the fact that for all x_12, x_12 will write a letter or x_12 is a cashier, and that for all x_12, x_12 will not write a letter or x_12 is a poet we can infer that for all x_12, x_12 is a cashier or x_12 is a poet. From the fact that for all x_12, x_12 is a cashier or x_12 is a poet, and that for all x_12, x_12 is not a cashier we can infer that for all x_12, x_12 is a poet. From the fact that for all x_12, x_12 is a poet we can infer that for all x_12, x_12 is a poet or x_12 will make tea. From the fact that for all x_12, x_12 is a poet or x_12 will make tea, and that for all x_12, x_12 is not a poet we can infer that for all x_12, x_12 will make tea. Finally, from the fact that for all x_12, x_12 will make tea we can infer that for all x_12, x_12 will make tea or x_12 is a doctor. Therefore, the answer is yes. Notice, however, that the premises were contradictory, so we can infer anything from them.