Source : Webster's Revised Unabridged Dictionary (1913)

Insolubility \In*sol`u*bil"i*ty\, n. [L. insolubilitas: cf. F.
   insolubilit['e].]
   1. The quality or state of being insoluble or not
      dissolvable, as in a fluid.

   2. The quality of being inexplicable or insolvable.

Source : WordNet®

insolubility
     n : the quality of being insoluble [ant: {solubility}]