There is a general consensus about the shape it would take outside of the grifter community. The general idea is that the system is capable of performing all intellectual tasks that a human is. This does not require being conscious as being conscious is not an externally verifiable attribute, and thus not a task we can measure the performance of a system on.

> The general idea is that the system is capable of performing all intellectual tasks that a human is.

Ya but what does this mean in practice? We can't actually map all of the intellectual tasks a human can do so how would you ever create a litmus test for it?

You're right that we can never be certain a system is generally intelligent by that metric. We can be certain that a system is not generally intelligent, via counter examples.

I imagine it will be like mathematical theorems that have been computationally verified to some very large n. The longer we go without finding a counterexample, the more certain we will be that it's true, even if we can't prove it formally.

The systems today are extremely easy to find counterexamples for, so are obviously not generally intelligent.