The first video posted by Matt is TKD. That is Chloe Bruce. She is a TKD stylist and the movements she is doing are TKD. She has done that same form in many tournaments and place high, if not won, when she has performed it. The initail kick she does is supposed to be her own creation called a scorpion kick where she actually turns her hips and upper body in opposite directions to kick over her own head. Quite an impressive display of flexibility abd control.
"The greatest way to live with honor in this world is to be what we pretend to be."