Consider the following premises. For all x_12, x_12 is sad. For all x_12, if x_12 were sad, then x_12 is sleeping. There is at least one x_12 for which x_12 will make tea and x_12 will write a letter. For all x_12, if x_12 were a lawyer, then x_12 is sleeping. Can we infer the following from them? For all x_12, either x_12 will make tea or x_12 will sleep are not true.
 From the fact that there is at least one x_12 for which x_12 will make tea and x_12 will write a letter we can infer that there is at least one x_12 for which x_12 will make tea. From the fact that for all x_12, x_12 is sad we can infer that for all x_12, x_12 is sad or x_12 is a lawyer. From the fact that for all x_12, if x_12 were sad, then x_12 is sleeping, that for all x_12, if x_12 were a lawyer, then x_12 is sleeping, and that for all x_12, x_12 is sad or x_12 is a lawyer we can infer that for all x_12, x_12 will sleep. Finally, from the fact that there is at least one x_12 for which x_12 will make tea, and that for all x_12, x_12 will sleep we can infer that there is at least one x_12 for which x_12 will make tea and x_12 will sleep, which contradicts that For all x_12, either x_12 will make tea or x_12 will sleep are not true. Therefore, the answer is no.