Wrong dude. The Terrible Velvet Room Trio are nortorious for being their respective games' Ultimate boss; you're forced to fight them alone or risk being nuked on the very first turn. Even then, they will murder you senseless with the ability to summon personas like you(the protag), with the icing on the cake being able to summon Hito-Shura's Pixie, armed with Megidoloan(aka the Hax nuke), and full heal. In other words, they are nearly unbeatable!
Steak said: You basically have to max all social links within a single playthrough to beat Elizabeth. That gives you a persona that can survive her bullshit.
Unless you were back in vanilla, then you had to SUFFERRRR
Actually, in Vanilla there was one Persona that could go toe to toe with Elizabeth and he was much easier to get than the uber one from the Social Links, but he was nerfed in FES, losing the key resistance that made him viable.