entailment and presupposition

What is the implication relation of this sentence?

i. The fact that Bob left early annoyed Sally
ii. Bob left early.

The tests:
-entailment: if 'i' is true, 'ii' has to be true. 'i' entails 'ii', as they both involve the action of Bob leaving early.

-presupposition:
1. The fact that Bob left early annoyed Sally
2. Was sally annoyed because Bob left early?
3. Bob did not leave early, so sally wasn't annoyed.
4. If Bob did leave early, sally would be alone.

For the presupposition, it suggests that Bob exists, so the sentence still survives doesn't it? So if the original sentence 'i' entailment or presupposition or both?