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:
All dogs are cats.
The cats that are not dogs are rats.
Conclusions:
I. Some rats are cats.
II. All cats are dogs.
III. Every cat is either a dog or a rat