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I think one of the horns had punctured the skull of the other one as you can just see the tip in the side of the head.

Maybe that killed it, it fell over and the other one
couldn't release because of the position.

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I tend to conclude the same - the nose bleed would be a result of the head injury. The one at the bottom could have had its neck broken with the fall impact. It also looks like he got a kick in the balls!