The most objective and complete summary of the story is:
The story is a fable about a cat who tries to show its animal friends a picture. The friends all make the mistake of standing between a mirror and the picture, so they only see themselves—not the picture. Because they all see something different, they each mistakenly think the others are lying. In the end, they are all angry with each other and the cat is the only one who understands what happened.
This summary includes the key elements of the story: the cat, the attempt to show the picture, the mistake the friends make, their misunderstanding and anger, and the cat's unique understanding of the situation. It presents a complete view of the events without unnecessary opinions or conjectures.