Agonistical :: Agonistical (a.) Pertaining to violent contests, bodily or mental; pertaining to athletic or polemic feats; athletic; combative; hence, strained; unnatural..
Agonistics :: Agonistics (n.) The science of athletic combats, or contests in public games..
Antagonistical :: Antagonistical (a.) Opposing in combat, combating; contending or acting against; as, antagonistic forces..