Violence always solves everything

Whoever said "Violence never solved anything" was either a liar or a coward, or a lying coward.

A more astute observer would say "Violence never solved anything such that both conflicting parties were equally satisfied with the outcome". Violence creates two entities: A winner, and a loser. Losers don't like to engage in violence because it will make their plight both obvious and inescapable. Winners may avoid violence if there are less expensive ways to win, ie trade or psychological manipulation.

Violence has solved every conflict on every scale. From the virus violently hijacking a host's DNA to the hundreds of millions killed by governments in both war and domestic pacification attempts, violence has decidedly ended every conflict in which it has been employed.

The only conflicts that violence doesn't solve are those in which it is insufficiently applied.