Self-refuting "Arguments"

These are arguments (statements really) that defeat themselves before it’s even possible to scan them for fallacies:

1. There is no truth
2. I know the truth is unaccessible
3. No one can make universal truth claims
4. There are no rules without exceptions
5. I deny the laws of logic

From these we can (interestingly) conclude that:

1. There is truth
2. One can make universal truth claims
3. There are rules without exceptions