A logic exercise by Lewis Carroll — what conclusion can be drawn from these premises?

1. I despise anything that cannot be used as a bridge.
2. Nothing that is worth writing an ode to would be an unwelcome gift to me.
3. A rainbow will not bear the weight of a wheelbarrow.
4. Whatever can be used as a bridge will bear the weight of a wheelbarrow.
5. I would not take, as a gift, a thing that I despise.