Other hyponyms of vanquish include
outpoint,
outscore,
eliminate,
mop up,
pip,
rack up,
whip,
worst,
whomp,
get the best,
have the best,
overcome,
rout,
spread-eagle,
spreadeagle,
get the jump,
cheat,
chicane,
chouse,
jockey,
screw,
shaft,
exceed,
outdo,
outgo,
outmatch,
outperform,
outstrip,
surmount,
surpass,
get over,
master,
overcome,
subdue,
surmount,
best,
outdo,
outflank,
scoop,
trump,
outfight,
overmaster,
overpower,
overwhelm,
checkmate,
mate,
immobilise,
immobilize,
outplay,
bat,
clobber,
cream,
drub,
lick,
thrash.