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Is any of these correct?

A) Try as might I can't have solved the problem.
B) Try as might I couldn't have solved the problem.
C) Tried as might I couldn't have solved the problem.
D) Trying as might I couldn't have solved the problem.
E) I'll try as might, the problem will not be solved, though.
F) Trying as might, the problem will not be solved, though.

Would someone look through the bunch of the sentences and explain this phrase mentioning other possible forms?

The phrase is "try as someone might" and it means "however hard someone tries".

• Try as I might, I can't solve the problem. (Even though I try as hard as possible, I cannot solve the problem.)
  
  Try as she might, she couldn't solve the problem.
  
  Try as they might, they will not succeed.

Thank you

Even though I was trying hard I couldn't have solved the problem.

Please say this using the phrase if possible.