a contentious speech act; a dispute where there is strong disagreement
"they were involved in a violent argument"
argument
"After hours of arguing, they finally reached an agreement to split the inheritance equally."
present participle of argue
"The two friends were arguing loudly about who borrowed their car without permission."
In plain English: Arguing means having a disagreement where people say things to try and prove they are right while trying to convince others they are wrong.
"She was arguing with her neighbor about who owned the garden shed."