The scale of South Africa's task could be seen from the fact that only once, when the West Indies made 344 for one against England in 1984 with Gordon Greenige hitting an unbeaten double century, had a side made more than 300 in the fourth innings to win a Lord's Test.
Moeen was the pick of the bowlers with four wickets, while Dawson, Anderson and Stuart Broad chipped in with two wickets apiece. They were still able to set South Africa 331, only 10 fewer than the ground-record run chase, though.
Not everyone can do it but Moeen has mastered it averaging 87.75 at seven including three centuries compared to his overall average of 35.03.
South Africa now needed a major innings from Hashim Amla.
Previously England's number one spinner, Moeen was joined at Lord's by the slow left-arm of Liam Dawson. At lunch, England's lead was 279 but Bairstow and Mark Wood scraped together valuable extra runs during a brisk ninth-wicket stand of 45.
Broad had Heino Kuhn, on debut, caught at first slip by Alastair Cook for one shortly after lunch before Elgar and Amla shared an obdurate second-wicket partnership of 72.
When JP Duminy fell to Broad, pinned by a ball that veered into him late, South Africa had lost 3 for 22 and looked to be wilting but de Bruyn, playing in this Test as cover for Faf du Plessis, and Bavuma slowly wrested the initiative back.
South Africa's Kagiso Rabada reacts after pitching a delivery during the first test between England and South Africa at Lord's cricket
Moeen has taken more than three wickets only four times in his 38 Tests and has an average at over 40 that does not suggest containment but his ability to get out very good batsmen is unerring.
South Africa are already without star players AB de Villiers (rest, or possible retirement) and Dale Steyn (shoulder injury) and could ill afford to lose Philander as well.
The magnificent Moeen finished with career-best match figures of 10-112 after taking 6-53 in the second innings as the Proteas were skittled out for only 119 on a dramatic day four at Lord's.
"It might be in the second innings and further along in this series that guys at the top of the order [put in scores] - today was my day but looking at the talent in the dressing room those guys will make big scores themselves".
Broad could also have been given out lbw on 4, but South Africa chose not to review, and he later saw Amla fail to hold a hard slip catch off the top edge. South Africa need to improve at this and quickly.
Gary Ballance strolled to the crease with England 80-1 and batted assuredly into the evening, with some attractive strokes to get off the mark. Stuart Broad was twice taken for three fours in an over as de Kock, who scored his maiden Test hundred against England past year, set about matching the grand surroundings with an innings of equivalent pomp.
There's a girl he's into, obviously, but it doesn't dominate the film. "The big thing was I tried to make my voice higher". It's nearly as if the guys at Marvel understood this and bent over backward to make the best damn Spidey movie they could.
Official says at least 28 inmates killed and several wounded after "feud between rival groups" in Acapulco prison . It was built for 1,624 inmates but had 1,951 men and 110 women behind its walls, he said.
Microsoft is to cut " thousands " of jobs worldwide as it attempts to beef up its presence in the cloud computing sector. The Verge notes Microsoft's server and cloud revenue was up 15% in the last quarter, alongside Azure revenue up by 93%.
This deal was one of the best in the history of the rockets , which received one of the greatest basketball players of our time. If that good health continues, Harden should be in position to provide star-level contributions for the entirety of this deal.
While a cold front will begin to approach us Monday , any showers or storms associated with it should stay to our north and west. The chance for flooding is still minor, but we're taking into consideration that many waterways are at or close to their peaks.
The three-hour-plus second-round encounter was a rematch of last month's Aegon Open final, which Vekic won in three sets. Johanna Konta made light work of Maria Sakkari to book her place in the fourth round of Wimbeldon.
The New York Times said Ms Veselnitskaya was known for her attempts to undermine sanctions against Russian human rights abusers. Mr Trump Jr said in a statement that they discussed a suspended programme for Americans to adopt Russian children.
Wani along with two of his aides was killed by security forces in an encounter at Bamdoora village of Anantnag on July 8, 2016. Siddiqui said they were held in various jails and were being released as a "goodwill gesture" by the Pakistan government.
Each cut has come after various United Nations bodies voted to adopt decisions which Israel said discriminated against it. Abraham, Isaac, Jacob, Sarah, Rebecca, and Leah are all later buried in the same Cave of Machpelah.