This is a blessed loss. Mate can be forced, but a draw can be achieved under the fifty-move rule.
To probe all KBBPPvKB positions, these tables and their transitive dependencies are also required:
KQBBPvKB · KRBBPvKB · KBBBPvKB · KBPPvKB · KBBPPvK · KBBNPvKB · KBBPvKB