No. Your soul never "dies" it is not esterminated.
Have you heard the phase, "Damn your soul to hell"
So, you are saying that if you go to heaven, great, you live on forever. If you go to hell, then you "disappear"?
That makes it easy doesn't it?
esterminated = terminated
In hell you live on forever, too. It's a place of ETERNAL damnation and suffering. I wouldn't wish my worst enemy in that place.