Ruling Glaceon X Vs. Dialga G

[venasour x]

I've been wondering, what would happen if I had a Glaceon Lv.X active and my opponent had a Dialga G Lv.X bench, would the two effects cancel each other out or would one of the two win?

 

[King Arceus]

Dialga g Lv.X's Poke-Body doesn't require that it be active to take effect. This shut's down Glaceon's Poke-Body.

 

[Lou Cypher]

I dont see what in Glaceon's Poké-Body would shut down Dialga. Glaceon only eliminates Poké-POWERS, which Dialga doesn't have.