Brainiac vs Doomsday

Look, I know this has most likely been done before, but I haven't been able to find it.

Random Encounter, No Prep
No BFR
Win by Death or K.O.
Set in uninhabited Metropolis in the morning
Pre-52 Versions

brainy

Doomsday

Braniac kills Doomsday by taking Doomsday to school and teaching him Quantum mechanics.

Brainiac

I like Brainiac so let's go with Brainiac

Bump

Brainiac will eventually find a way to cage that beast.

Doomsday

If Lex Luthor can imprison Doomsday, so can Brainiac

Pre-52 or New 52 versions?

@master-danny: Well I said most recent versions, but that was before I discovered that N52 Doomsday seemingly isn't as strong as pre-52, so official statement:

Pre-52 Versions!!!!!

I just updated the OP

Brainiac

Post Crisis Doomsday wins here.

With the mental ship braniac wins if not then doomsday wins

Doomsday wins Darkseid owned brainiac and it was inevitable for brainiac to do something and doomsday killed darkseid brainiac will forfeits knowing doomsday is an inevitable force and cannot die brainiac either forfeits or gets killed brutally

GODSTOMP FAVORING DOOMSDAY

I will say Doomsday

Doomsday.

Neither can permanently put down the other in a random encounter but Doomsday will tear Brainiac apart first.