For the record, I don't think Divine beats Arcane/Psionic combined. Combining two systems is generally superior to one, unless one of them is Truenaming.

But a straight Archivist vs. a Cerebremancer of equal level will have a bit of an edge due to class features and higher-level spells. The right powers (e.g. Synchronicity) can offset this. It's a bit too complicated to tell.