自高自大

to think of oneself as terrific (idiom); arrogant

see 大夫[dai4 fu5]

big; large; great / older (than another person) / eldest (as in 大姐[da4 jie3]) / greatly; freely; fully / (dialect) father / (dialect) uncle (father's brother)

surname Gao

high / tall / above average / loud / your (honorific)

self / oneself / from / since / naturally / surely

arrogant

to be proud of oneself