Conversation so far:
What happened in 2005 to Conservative Party politician David Davis?
Conservative Party politician David Davis ran for Leader of the Conservative Party.
What was Conservative Party leadership contest in 2005?
The 2005 Conservative Party leadership election was called by party leader Michael Howard on 6 May 2005, when he announced that he would be stepping down as Tory Leader.

Question: Did he run against anyone?
Self-contained rewrite: Did Conservative Party politician David Davis run against anyone in the leadership election?