Trivia: How do you kill this unit?

[Lazy_Perfectionist]

A dominion kills worth going for anyways... Or at least go preaching in that province with priests of at least level 2. Click on their hitpoints to see how many are due to dominion.

Even if you don't dom kill, you'll make the sphinx more vulnerable, lowering a variety of stats.

Edit: isn't there a low-level earth weapon that does extra damage to inanimate beings?