Well, let's see (excuse me while I think out loud)...
...The dark area is at the top of the
picture, but since a lens forms an inverted image, whatever is happening is happening at the
bottom of the film gate.
...A Contax or Kiev shutter runs top to bottom.
...So, it looks to me like what's happening is that your shutter's opening curtain is sluggish; it isn't getting all the way clear of the film gate before the closing curtain catches up to it and terminates the exposure. The edge of the dark area isn't sharp because the opening curtain is still moving as the closing curtain catches up to it; in effect, the shutter slit is getting narrower and narrower until it's extinguished entirely, producing a "gradated" edge to the unexposed area.
...Now, why would it do that? I read the Contax II shutter section on
Henry Scherer's website, since a Kiev shutter and a Contax II shutter are very similar in design. The information on that site suggests several possibilities, such as that the spring that drives the lower curtain roller has either broken or has lost some of its tension as a result of old age. If that's the case, the shutter would need to be cleaned and readjusted to get it operating corrrectly.
That's probably NOT what you wanted to hear, so keep in mind that I am no Contax expert (used to own a couple and poked around inside them a bit, but that's all) let alone a Kiev expert, and that I'm really just taking wild guesses here about the possible causes.
Have you tried firing the camera without film while watching the shutter from behind? If you concentrate, and put a well-lit sheet of white paper in front of the lens opening, you often can SEE roughly what the shutter is doing, even when it's firing at high speeds.
PS -- I think the dark area looks curved because the edge of the shutter curtain has some catches mounted on it -- in the center, where your image shows a bump, and at the edges -- and the blurred image of these catches produces an uneven outline. But the other people who suspect something loose inside the camera certainly have a point, and at least that's easy to check just by eyeballing it.