Two statements are given, followed by four conclusions numbered I, II, III and IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

No soap is a dessert.

All desserts are cups.

Conclusions:

I. No dessert is a soap.

II. Some cups are desserts.

III. Some desserts are soaps.

IV. All cups are desserts.