Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

1. All doors are teachers.

2. All teachers are cups.

Conclusions:

I. All cups are doors.

II. All doors are cups.

III. All teachers are doors.

IV. Some cups are teachers.

Only conclusions II and IV follow.