In apophatic terms it could be said of God that he is both not alive and not not-alive.
Materialists see it as a cop out if theists say that God cannot be defined in terms of being alive or existent. But in a sense this could be said to be the very point of God, that he not be defined in human terms. Finite creatures are bound by descriptions. If God is in some sense infinite then he can be said cross boundaries of time, space and existence/non-existence.
It may be objected that this does not make sense in our mind. But is it a reasonable expectation that the nature of God should make sense to human thought? Because humans are endowed with remarkable thinking ability compared with animals, we may tend to imagine that our ability to understand the world and its nature is therefore unlimited. But it is obviously also possible that, while our ability to think is very good, it is nevertheless incapable of comprehending certain aspects of reality, including the nature of God.
Humanist materialists elevate human rationality to a kind of God. When presented with the situation that the human mind cannot comprehend how God could be said to be outside human categories, they conclude that therefore God cannot "exist". As if the ability of the human mind is itself the measure of what can and cannot "exist" in reality. Materialists are free to make this assumption if they wish. But it is also fair to point out that it is simply an assumption, and also that it involves making incredibly high claims for the human mind. If the ability of the human mind to make sense of certain phenomena is the measure of whether the thing exists in reality, then this is making the human mind into God, determining what exists and does not exist.
So there is a sense in which atheistiic materialism does not so much eliminate God but rather puts the human mind in the place of God.