To add a bit more [useless] information on Super Training...
Actually, it will unlock if ALL Pokemon in your party are fully EV trained. It still works if all Pokemon's EV's have been Reset to 0. How? Past Experience, as I have apparently cleared around 2,000 ST Regiments. (lol). To Know that a Pokemon is fully EV trained, It'll say it's stats cannot go higher, and it will show some symbol in the upper left corner. A Pokemon that has successfully completed/cleared all Super Secret Training Regiments will have the original fully EV trained symbol, along with five stars in the bottom. The Super Secret Training Record of that Pokemon will reset if you trade it to another person.