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Could someone please explain the grammar used in the text below?

Officers are convinced the bloodshed at the Christian school would have been worse had Meis and the others not intervened.

Source: CNN

According to what I have learned so far it should be :

Officers are convinced the bloodshed at the Christian school would have been worse if Meis and the others had not intervened.

marked as duplicate by StoneyB grammar Jun 9 '14 at 14:17

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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    Check this out: ell.stackexchange.com/q/9363/3281. – Damkerng T. Jun 8 '14 at 4:25
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    @DamkerngT. As always, Thank you so much :) So it is written in formal style. We don't use it in colloquial speech. – user3214 Jun 8 '14 at 4:30