Yeah, no, unless you pull some sort of hidden "oh but he can totally bring himself back because otherwise the concept of chaos would not exist in this world" bullshit of the highest magnitude, he's dead. Ajax is absurdly strong across the entire multiverse, can use his ridiculous strength against things that would normally be unaffected by physical trauma, he can null teleportation by holding on to you really hard and he's already got Chaos caught in a headlock that might as well be a hydraulic press vs an egg in this situation since Chaos has no form of enhanced durability.

If you pull "oh but it was all just an illusion" then I'd have to call bullshit once more because Ajax explicitly has an ability that lets him see through illusions, it'd be blatantly ignoring my characters' abilities and if we're doing that then there's no point in even having CSes at all. Chaos could still try to shapeshift or do his Voideus magics, whatever those are, but I say there's no time for that unless you blatantly edit your post or don't give me a chance to write mine out because Chaos' head is already caught, he's currently doing his magma thingy and all Ajax has to do to crush him is flex.

The only reason I have not killed your character yet is out of a general sense of courtesy and having had that whole "plz no killing without asking" rule hammered into me of late, but you win some and you lose some, and your character's actions have to led a situation where he should die. Unless you can explain to me incredibly well how he is going to escape from this without flagrantly ignoring my character's powers, pulling powers out of your ass or outright editing your latest post or not giving me a chance to properly write out my actions before having your character do something else, I'm gonna have to call bullshit and insist that Chaos is proper fucked.