## Task 3 - 220613

In a sports competition, the pioneers Anton, Bernd, Christian, Detlef, Ernst, and Frank participated in the high jump. 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 achieved the same height as Anton, but jumped higher than Ernst.

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

Determine whether the jump heights of the six pioneers can be uniquely determined from these statements!

If this is possible, state this order, starting with the highest jump height!
If the jump height of each pioneer is denoted by the first letter of their first name, we obtain:

From (1) follows $D>A$, from (3) follows $A=C$ and $C>E$, from (2) follows $E>F$, from (4) follows $F>B$.

Therefore, the desired order is:

$$
D>A=C>E>F>B
$$