A logic exercise by Lewis Carroll. What conclusion can be drawn from these premises?

1. Animals are always mortally offended if I fail to notice them.
2. The only animals that belong to me are in that field.
3. No animal can guess a conundrum unless it has been properly trained in a Board-School.
4. None of the animals in that field are badgers.
5. When an animal is mortally offended, it rushes about wildly and howls.
6. I never notice any animal unless it belongs to me.
7. No animal that has been properly trained in a Board-School ever rushes about wildly and howls.