As explained in rulebook, if two players have abilities that are resolved at the same time, the atackers's abilities are resolved before the defenders.
Q:
zealot + zealot + dark archon with feedback card - defend
marine + science vessel with irradiate card - attack
Marine and Zealot have suffisient strenght for destroy each other
I think, irradiate provides +1 for atack anyway, becouse it's resolved first
then, Feedback card destroys Science Vessel, and cancel reinforcement card. But i don't know - cancel splash damage had triggered before or not.