We classified in arXiv:2201.04152 certain 10d supergravity solutions with a
    4d de Sitter, Minkowski or anti-de Sitter spacetime. We then found new
    solutions in previously unexplored classes. In this paper we study their
    properties, compare them to swampland conjectures, and make new observations.

    Using new numerical tools, we first identify all Lie algebras underlying the
    6d group manifolds, allowing us to discuss their compactness. We then
    investigate scale separation, and prove related no-go theorems. Last but not
    least, we automatize and analyze the stability of all solutions. This leads us
    to propose the Massless Minkowski Conjecture, claiming the systematic presence
    of a 4d massless scalar field.

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