Where I'm from, it's "inarguable" that [1,0,1] > [0,2,0]; that is, that a gold and a bronze is better than two silvers. This would break some of the ties shown in the diagram.
Your statement is unclear; are you asserting the truth or false of the inequality? (The unclear word is "inarguable" - do you mean there is no argument in favour or no argument against)
Where are you from? That's arguable to me (America, Colorado).