Sorry, no online dictionaries contain the exact phrase proof by counterexample.
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Reverse dictionary results:
1. instance
2. quote
3. answer
4. antecedent
5. application
6. case
7. cue
8. denominator
9. example
10. examples
11. exemplar
12. heuristic
13. illustration
14. instantiation
15. refutation
16. antonym
17. alternative
18. answers
19. counterexamples
20. exemplars
21. reinforcer
22. a priori
23. aaa
24. absolute
25. adduce
26. adducer
27. adducing
28. adminicle
29. alcohol
30. ale
31. alibi
32. allegation
33. allege
34. alleged
35. alleging
36. alone
37. analysis
38. apagoge
39. apagogic
40. apodixis

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You can look up the words in the phrase individually using these links:   proof ?   by ?   counterexample ?
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