@RaymondH, it's not unsolvable if people have completed the game. If I am making the correct assumption about the puzzle you're stuck on, have you noticed there are 4 completely empty columns (no numbers at all)?
Leaving the training mode page automatically grays out the Monster Battle training option...this is kind of ridiculous since you can't choose new skills or read about new abilities before using Monster Battle if you want.
 "My Pet Protector 3")
 "Indestruct2Tank")
 "Wake Up the Box 4")
 "Paladog")
 "Hood Episode 3")
 "Berserk: The Cataclysm")
 "Nano Kingdoms"){kind=icon}
 "Tripod Attack")
 "New Star Soccer")
 "NoNoSparks: Genesis")
 "Cactus McCoy 2")
 "Ink Battle")
 "My \"Dear\" Boss"){kind=icon}
 "Star Claws")
 "LethalRPGDestiny 2: Conquest"){kind=icon}
 "Monster Arena")
haha, sorry. At least I didn't make him scream, I hate screamers.