"Direct contradiction" means a strong disagreement or opposition between two ideas, statements, or facts. It suggests that one thing is completely opposite or contradicts the other. Full definition
The arguments among the participants was such that there were some issues that seem in direct contradiction of any policy response. (yragharris.com)
The steep cuts to welfare payments — including withdrawing disability benefits after a year and the reforms to housing benefit — are in direct contradiction of the government's rhetorical commitment to fairness. (socialliberal.net)
They will even justify killing each other in direct contradiction with their «beliefs». (religion.blogs.cnn.com)