Results and for and against from Australia's match with Samoa and England's clash with New Zealand next week will determine the tournament finalists in a fortnight's time.
"That was a real test match," Smith said after the game.
"That was what international football is all about."
In a somewhat spiteful start to the game before 20,585 fans, three players: Liam Farrell, Sean O'Loughlin and Greg Bird were put on report in the opening 10 minutes, before the game settled down.
By then Australia had lost back-rower Beau Scott to a hamstring injury for the rest of the game.
The hosts opened the scoring in the 17th minute when a Daly Cherry-Evans inside ball put Greg Bird in the clear 50m out and he dished off for Michael Jennings to cross after making his way through some flimsy defence - Cameron Smith missed the easy conversion for a 4-0 scoreline.
England were not afraid to throw the ball around out wide and it paid dividends in the 29th minute when Ryan Hall made a huge bust upfield.
Daryl Clark was pulled into touch after being held at the end of the movement and from the ensuing penalty England threw it wide again, this time on their right, for Kallum Watkins to score out.
Gareth Widdop's conversion put the visitors ahead 6-4.
They added to that when Hall scored in the 34th minute from a lovely Dan Sarginson pass, and Widdop's conversion edged England further ahead 12-4.
Jennings' stepping created space out wide and an opportunity late but his pass to winger Josh Mansour flew into touch.
England counter-attacked and Tomkins burst upfield in the shadows of halftime but the promising raid broke down and they took an eight point lead into the break.