Quibble (verb)

1. To raise petty or trivial objections or objections based on minor points.
2. To evade the point at issue by raising irrelevant distinctions or objections.

Origin:

Late 16th century (as a noun denoting a subtle or evasive point in an argument): from latin quibbles, from quibilis "apt to raise doubts", from quaerere "ask".

Examples:

1. He quibbled over the small details of the contract.
2. She quibbled over the meaning of the word in the sentence.
3. He quibbled over the price, but finally agreed to pay.
4. The lawyer quibbled over the evidence presented in court.
5. The politician quibbled over the facts instead of answering the question.