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We study quasirational (QR) presentations of (pro-p)groups, which contain aspherical presentations and their subpresentations, and also still mysterious pro-p-groups with a single defining relation. Using schematization of QR-presentations and embedding of the rationalized module of relations into a diagram related to a certain prounipotent crossed module, we derive cohomological properties of pro-p-groups with a single defining relation.