Video footage appears to show Australia vice-captain Warner having to be restrained by team-mates during an altercation with wicketkeeper De Kock.
Smith didn't want to be drawn into the specifics of the heated conversation that took place between De Kock and Warner but said he didn't want to see such an incident taking place. Both teams have acknowledged the incident and are waiting for a verdict from the match referee before commenting further.
David Warner, meanwhile, was not charged for his aggressive reaction to De Villiers' run out.
Meanwhile, Nathan Lyon was charged with Level 1 offence by the ICC for his ball-drop send-off to AB de Villiers. The match referee has spoken to us after the day's play. "As far as I'm aware, we didn't get personal towards Quinton", Australia captain Steve Smith told a news conference.
South Africa fought back in the second half of the match, bowling with more objective to bowl out the tourists for 227, then recovering from a nightmare start to their second innings, largely through Markram, who made 143, and De Kock.
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The batting of the lower order of the teams was a significant difference.
Australia won the match by 118 runs.
Complementing the front-line attack, allrounder Mitchell Marsh looked the sharpest he's been with the ball since returning from a major shoulder surgery and claimed the key wicket of Aiden Markram late on day four to effectively end South Africa's resistance. But Faf [du Plessis, South Africa's captain] can say what he likes I guess. "There was a real difference in skill with the reverse swing", said Du Plessis, who said Starc and South Africa's Kagiso Rabada were the two stand-outs.
"One bowler in each team has the potential to do that to the tail".
Du Plesiss and Moosajee wouldn't get into nitty-gritty, but the Proteas are privately alleging that Warner referenced de Kock's sister and mother in some verbals.
"I'm not going to comment on that‚" Smith said. Australia's captain Steven Smith said de Kock's words to Warner were "personal" and "crossed the line" between what is acceptable and what is not, but also stressed that he did not believe the vice-captain had said anything personal to de Kock to instigate the exchange. "Our tail played really well which was probably the difference".