Treasury chief Liz Truss outlined her hopes for a "re-modernised" party while Justine Greening called for a leader fit for the "2020s, not the 1920s". Meanwhile former Brexit secretary Dominic Raab, moved to scotch rumours that have circulated around Westminster about workplace bullying. He said an allegation made while he was chief of staff to David Davis in 2007 was independently reviewed and found to be unsubstantiated. Related articles Theresa May STEPS IN to protect Dominic Grieve after losing vote Brexit warning: Theresa May ‘PLAYING WITH FIRE’ He denied securing a gagging order and said any accusations of bullying or harassment "are completely false", claiming he was the victim of a smear campaign. Mrs May triggered the starting gun on the race to succeed her after telling MPs that she would quit if Eurosceptic Tory rebels backed her EU divorce deal. Ms Truss called for tax cuts for businesses and a reduction in stamp duty for young home buyers. She said the Conservative Party needs to be "optimistic, aspirational". She added: "We need to participate in the battle of ideas. We haven't been." Remainer Ms Greening said she "might" run, saying the party needed to reform if it had a chance of winning a large majority again. British Prime Minister Theresa May (Image: WPA Pool/Getty Images) Former Brexit secretary Dominic Raab (Image: Dan Kitwood/Getty Images) She said: "It's 32 years since we had a landslide and we have to answer the question about why we have failed to connect with people and their ambitions. "Until we have a leadership that understands why that has happened, we won't be able to change it." With a leadership battle looking increasingly likely, bookmaker William Hill has given Mr Raab odds of 6/1 to win the race - the same as Foreign Secretary Jeremy Hunt. Environment Secretary Michael Gove is on 5/2 and former foreign secretary Boris Johnson is on 4/1.All rights reserved for this news site express.co.uk and under his responsibility