Yes SIM is displays all the SNMP Traps. IRS / IRSA has time filters and filter to check for events which are relevant for HP.
Is it correct that you use email to forward events to your service desk? If this is the case you have a much better solution if you only use the mail forward from IRS to the service desk.
Simple rules are possible inside SIM event automation.
There is also some build-in logic for reachable events to close previous nonreachable events.
But I would also ask for your service desk tool vendor for a SIM integration.
I just remember that HP for example provided some integration.
I do not know the current state of this packages.