The subsistence pattern that does not require knowledge of irrigation is Foraging.
Foraging, also known as hunting and gathering, relies on the collection of wild plants and the hunting of animals, which does not involve the cultivation of crops or the need for irrigation systems. The other patterns listed—nomadism (which can sometimes involve pastoralism), horticulturalism, and the slash-and-burn technique—typically involve some level of agricultural practice and thus may require knowledge of irrigation.