It's is hard to tell with her being so fuzzy, but I really don't see the haflinger in her. I would just say she is a paint. Haflingers typically have pretty flat withers and rounder features. To me her face does not really look like a haflinger's. I don't really know much about color genetics, but I have never seen a haflinger cross that color before. I think that the chestnut color is a dominant feature.
I definitely don't see Haflinger, but it's possible. The chestnut color would be masked by the black gene (no agouti) if the paint parent carried it. She doesn't look very pony-like in her conformation, but the head does not scream stock horse to me. Someone mentioned Clydesdale, and the Sabino is very common in that breed. Might I ask how tall she is?