Three statements are given, followed by three conclusions numbered I, II and III. 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:

All shoes are boots.
All boots are heels.
Some slippers are shoes.

Conclusions:

I. All shoes are heels.
II. No slipper is a boot.
III. All shoes are slippers.