The last argument still continues that the Resurrection Day with its great dread, will come to pass but the truthful believers will have no fear in that. In that dreadful day, the heavens shall be folded up like a roll of paper, or scroll which the ancient people used for their writing.
Folding of solar system does not mean that they will become non-existent. It rather means the constituent materials of the heavens will exist, while the form and shape of them will change. In other word; our solar system will be folded up like a roll of paper or parchment, for having done its work. God created them at first, out of nothing, and now it is far easier to renew an existing entity, and making a new heaven and earth out of their present material. Allah has promised to that, and he will definitely fulfil the promise which is binding on Him.