The phrase "inescapable consequence" means something that will definitely happen as a result of a certain action or situation, and there is no way to avoid or escape it. Full definition
If you believe in evolution, there are five inescapable consequences if evolution is true: 1) There is no evidence of God 2) There is no life after death 3) There is no foundation for right vs wrong 4) There is no meaning to life and 5) People don't have free will. (religion.blogs.cnn.com)
Black welfare dependency is the inescapable consequence of the absence of opportunity. (firstthings.com)
If our most basic beliefs about the stuff of which nature is made preclude the existence of some other, radically different metaphysical stuff from which a transcendent deity might be made, then we must admit, as an inescapable consequence, that no such transcendent being exists. (religion-online.org)