Petrification is a curse inflicted on targets.
When Borgoba punches a target the target is cursed with Petrification. The target turns grey in color and is unable to move.
It seemingly lasts longer on low level players but doesn't last long against higher Level players such as Sora.
After acquiring Medusa's Gauntlet, Sora had a certain probability of casting Petrification on the target she touches. Buffs can be used to increase the chance of petrification to 100%. The petrification caused by the Gloves causes a snake to wrap around the target, restricting their movement.
Black Magic Dungeon
Sora used Petrification on Lazie on the third floor of the Black Magic Dungeon but he broke free of it easily and gave her a critical hit.