Read the dictionary definition of dispute. All definitions for this word.
1. coming into conflict with
2. a disagreement or argument about something important
1. he had a dispute with his wife
2. there were irreconcilable differences
3. the familiar conflict between Republicans and Democrats
3. have a disagreement over something
1. We quarreled over the question as to who discovered America
2. These two fellows are always scrapping over something
4. take exception to
1. She challenged his claims