Consider the following premises. For all y, y is not a janitor or y will listen to a song. For all y, y is a janitor or y will go running. For all y, y will not go running or y is a scientist. There is at least one y for which y will not listen to a song. Can we infer the following from them? There is at least one y for which y is a scientist.
 From the fact that for all y, y is a janitor or y will go running, and that for all y, y is not a janitor or y will listen to a song we can infer that for all y, y will go running or y will listen to a song. From the fact that for all y, y will go running or y will listen to a song, and that for all y, y will not go running or y is a scientist we can infer that for all y, y will listen to a song or y is a scientist. Finally, from the fact that for all y, y will listen to a song or y is a scientist, and that there is at least one y for which y will not listen to a song we can infer that there is at least one y for which y is a scientist. Therefore, the answer is yes.