• (v. t.) To reject by judicial sentence; also, to abjudge.
Ab·ju'di·cate transitive verb [ Latin abjudicatus , past participle of abjudicare ; ab + judicare . See Judge , and confer Abjudge .] To reject by judicial sentence; also, to abjudge. [ Obsolete] Ash. 
In law, the term abjudicate refers to depriving a person of something by court order or remove by order of court.