Conversation so far:
What happened with the deposition?
Lumumba denounced his dismissal over the radio as illegitimate, and in turn labeled Kasa-Vubu a traitor and declared him deposed.
Did Kasa-Vubu depose him?
Still, Parliament did not back Lumumba's dismissal of Kasa-Vubu, creating a constitutional crisis.

Question: How did they solve this problem?
Self-contained rewrite: How did the Parliament solve the problem of the constitutional crisis?