1. Create a trigger.
2. Bring it to problem state.
3. Observe Monitoring->Problems that it's there.
4. Observe Monitoring->Hosts that problem is there.
5. Disable trigger.
6. Observe Monitoring->Problems the problem is no longer visible.
7. Observe Monitoring->Hosts problem is still visible there.

Expected: Should be the same as it is in Monitoring->Problems - the problems for disabled triggers are not visible.