## Task 4 - 170614

In a sports competition, the pioneers Anton, Bernd, Christian, Detlef, Ernst, and Frank participated in the high jump event. The following statements are true about the results:

(1) Anton jumped higher than Frank, but achieved a lower jump height than Detlef.

(2) Frank and Ernst achieved different jump heights; however, it is not true that Frank jumped higher than Ernst.

(3) Christian jumped exactly as high as Anton, but higher than Ernst.

(4) It is false that Bernd achieved or exceeded the jump height of another student.

Determine the order of the jump heights achieved by the pioneers in this competition! Start with the student who achieved the highest jump height in your answer!
From the fourth statement, it immediately follows that Bernd was last. From (2) and (3), it follows that Anton and Christian jumped equally high and higher than Ernst. Ernst, however, also jumped higher than Frank. On the other hand, it follows from (1) that Detlef jumped higher than Anton and thus was the best.

Thus, the order is: Detlef, Anton and Christian (same jump height), Ernst, Frank, Bernd.