incompossible
In`com*pos"si*ble, a. Etym: [Pref. in- not + compossible: cf. F. incompossible.] Defn: Not capable of joint existence; incompatible; inconsistent. [Obs.] Ambition and faith . . . are . . . incompossible. Jer. Taylor. -- In`com*pos`si*bil"i*ty, n. [Obs.]