• (n.) The quality or state of being insuperable; insuperableness.
In·su`per·a·bil'i·ty noun The quality or state of being insuperable; insuperableness. 
insuperable, insuperability, insuperableness 1. Impossible to overcome, to get rid of, or to deal with successfully; insurmountable; such as, insuperable odds. 2. The quality or state of being insuperable, battling insuperable odds. 3. Incapable of being passed over, overcome, or surmounted; such as, an insuperable barrier.