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What is a counterproof?

What is a counterproof? Here are some definitions.

Noun
  1. (printing) The inverted image of an original proof.
  2. (logic) A proof that contradicts a given statement.
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Examples
If the fact-finder believes the counterproof offered by the attorney, the witness has been impeached in two ways.
Moreover, it is often difficult to tell that a counterproof was taken from a pastel, because to the untutored eye the original pastel's surface remains largely unaffected.
The national acceptance of the laws of the Constituent Assembly was the counterproof of its work.
Some publications have indicated that no physical machine can be designed to surpass the Turing machines and that it is not possible to construct a counterproof.

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