De Villiers faced 220 balls in his stoic boundary-less knock in a study of concentration, putting on 89 runs for the fifth wicket with Du Plessis in 68 overs.
The Proteas gave no thought to chasing down a huge and unlikely victory target of 430, scoring just 135 runs on the final day off 67 overs up to tea.
Skipper Smith paid tribute to his team’s fighting performance.
“You had that little bit of hope this morning, but at four down last night you know probably the writing is on the wall,” Smith said. “For me, it was incredible to see the guys who represented us out there today, the skill, determination and the pride they took in their performances.”
Second Test, Mumbai, India:
‧ England 413 & 58-0 beat India 327 & 142 by 10 wickets.