Would a eagle owl eat a great horned owl?

Conflicts between these two species evidently have occurred, there are stories in the text of horned owls killing red tails at night, while the hawks were sleeping, and there are reports of red tails killing unaware horned owls during daylight hours. Both species are capable killers, with powerful talons, and are very oppurtunistic predators, taking whatever species they can bring down. If the two met in a dusk conflict, for example, and both were at full strength, the hawk would probably kill the owl, for it has a more powerful beak, while the weaker bill of the owl is used primarily to dismember its prey.