The Proteas have failed to pass the group stages for just the second time and face two dead rubbers over the next two weeks.
South Africa failed to reach the knockout rounds as hosts in 2003, but still won three of their six encounters.
Head coach Ottis Gibson's men have only beaten minnows Afghanistan at this tournament, and still have to face Sri Lanka and Australia.
Even three wins in nine matches would not gloss a woeful campaign, but given the Proteas' dire form the chance of consolation victories appears remote.
Shot of the day
Haris Sohail's 89 came to define Pakistan's battling victory, and one rangy six over midwicket off Lungi Ngidi summed up his pugnacious innings.
Ball of the day
Wahab Riaz's swinging yorker pinged Chris Morris' leg stump with the South Africa all-rounder entirely unable to adjust his feet and make any connection whatsoever. Pakistan were well en route to victory by the time Wahab cashed in on the wickets, but in any context this was quality one-day bowling.
Stat of the day
Imran Tahir has more World Cup wickets than any other South Africa bowler, overtaking Allan Donald's 38 with a brace against Pakistan at Lord's.
Catch of the day
Tahir's stunning snatch take from his own bowling to dismiss Imam Ul Haq briefly gave South Africa hope of a last-gasp resurgence. The in-form spinner had all too little support from his struggling team-mates however, as the Proteas' already thin semi-final hopes were finally extinguished.
Tweet of the day
Quote of the day
South Africa captain Faf Du Plessis: "It's becoming a little bit embarrassing, we're trying but it's not good enough."
June 24: Afghanistan v Bangladesh at Southampton.