The Collaborative International Dictionary of English v.0.48:
Intermural \In`ter*mu"ral\, a. 1. Lying between walls; inclosed by walls. [1913 Webster] 2. Taking place between two different institutions or cities; as, an intermural soccer match between two schools. [PJC]WordNet (r) 3.0 (2006):
intermural adj 1: between two or more institutions etc; "an intermural track meet"