Mider I have a feeling that you are pro DC, and that's really cool, but facts are facts, this is what Marvel says about The Destroyer Armor; "The Destroyer is composed of an unknown metal of Asgardian origin and was enchanted by Odin so that its metal was harder even then adamantium or uru and was therefore almost totally indestructible."
Doomsday is soft and fleshy in comparison to Adamantium, and the Destroyer is said to be made of material that is even stronger than Adamantium... that's just the toppings, did you know that it was once 1000 ft tall? The reason that I say that is because imagine if a whole bunch of people sent their collective minds into it, it would then grow tall enough to stomp Doomsday flat, I have also noticed that whenever this thing gets into a fight, it has one goal and that is to eradicate it's opponent, it's strength is immeasurable. Let's analyze this fight scientifically; Doomsday is made of flesh ,blood, and bone... The Destroyer is made of some form of Indestructible mystical rock metal... The Destroyers very body is tougher making it stronger because lets face it a person may be able to lift something but we can only lift as much as our bones allow us to, another example: If you take 7 tons of solid titanium, put it on wheels, and sent it hurtling towards an elephant of the same weight, which will win?
I see the fight going like this, they both collide Doomsday punches the Destroyer and breaks his knuckles on a more durable substance than he is made of himself, the Destroyer punches Doomday knocking a hole right through his torso, Doomsday falls to the groung dying, and then the Destroyer uses his disintegration ray to destroy every molecule that he was made of, effectively stopping Doomday from ever coming back, or evolving into some new greater menace.