mystify in WordNet English dictionary

1. be a mystery or bewildering to
   "This beats me!"; "Got me--I don't know the answer!"; "a vexing problem"; "This question really stuck me"
   perplex  vex  stick  get  puzzle  mystify  baffle  beat  pose  bewilder  flummox  stupefy  nonplus  gravel  amaze  dumbfound 
   
2. make mysterious
   "mystify the story"
   mystify