at odds vs contradictory

at odds

prep
  • In disagreement; conflicting. 

contradictory

noun
  • Either of a pair of propositions, that cannot both be true or both be false. 

adj
  • That contradicts something, such as an argument. 

  • That is diametrically opposed to something. 

  • That is itself a contradiction. 

  • Mutually exclusive. 

  • Tending to contradict or oppose, contrarious. 

How often have the words at odds and contradictory occurred in a corpus of books? (source: Google Ngram Viewer )