Hereby it is manifest that during the time men live without a common power to keep them all in awe, they are in that condition which is called war; and such a war as is of every man against every man.
The "nasty brutish, and short" bit follows in an elaboration of this condition in the next paragraph.
and THIS is contradicted, if not by the article, then by the book it is reviewing. In particular:
To date, some three thousand Homo sapiens skeletons unearthed at four hundred sites are old enough to tell us something about our 'natural state'. Scientists who have studied these sites see no convincing evidence for prehistoric warfare. In later periods, it's a different story. 'War does not go forever backwards in time,' says renowned anthropologist Brian Ferguson. 'It had a beginning'