contradiction vs these statements are inconsistent

Some examples from the web:

• But commercial success and an underground reputation was still a contradiction.
• Professor Bartlett often explained how sustainable growth is a contradiction.
• A flowering rocky desert need not be a contradiction.
• The Talmud recognizes Life is filled with contradiction.
• Pilpul practitioners posited that the Talmud could contain no redundancy or contradiction whatsoever.
• Nietzsche saw this as a contradiction.
• Certainly this contradiction can always arise, for temptations remain.
• This contradiction shows that p cannot be provable.
• At first glance, lateral power seems a contradiction.
• In candidate countries we see a similar contradiction.
• For the Hindu the conflict is genuine logical contradiction.
• At each visit the contradiction is growing.
• Secondly, there is an excessive tolerance of mutual contradiction.
• One wonders what the reasons for this apparent contradiction.
• I soon realized it wasn't a contradiction at all.
• It's the biggest contradiction, ever.
• The social organization of the absolute lie... devolves from this fundamental contradiction.
• There's no contradiction in being both ridiculous and magnificent.
• When you get up, the night and day is a contradiction.
• In a storyteller's mind, it's a contradiction of moralities.

Some examples from the web:

• Accept a Veteran's statement regarding disabilities or diseases incurred as a F POW as proof of service incurrence unless these statements are inconsistent with  ...
• These statements are inconsistent but they are not negations of each other. The negation of the first is "It is not the case that Tom is very happy." This includes ...
• Mar 25, 2015 ... These statements are inconsistent with the warm bilateral relationship reflected in the Resolution on Greek Independence Day that is now ...
• Among the reasons that his words cause concern are: (1) these statements are inconsistent with others Paul makes concerning his Jewish contemporaries, and  ...