Sentence:  His various aesthetic postulates remain as landmarks of a house divided against itself : Supra Expressionism , Neo Paganism , Neo Classicism , Neo Romanticism , Neo Jazz , Neo Ecclesiasticism , Neo Popularism , and most recently , Post Serialism - all <WSD>competing</WSD> with each other within one composer ! 
Meaning of the word marked with <WSD> tags:  compete for something; engage in a contest; measure oneself against others