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JLA:
Superman
Power Girl
Wonder Woman
Martian Manhunter
Aquaman
Green Lantern (Hal Jordan)
Flash(Barry)

vs.

Uber Psi:
Nate Grey
Cassandra Nova
Tangent Superman
Captain Comet
God Cable
Legion(No reality Warping)
Hector Hammond

Barry is the wild card. If he can attack before team two gets started, I think the JLA can take this. If not, I'd give it to Team Psi, largely because of Cassandra Nova and Tangent Supes.

Wrap everyone in the JLA up in the Lasso, I don't think any of them can stop that much psi otherwise