1.   Sadly, my optimism proved unfounded.

2.   His optimism proved to be unwarranted.

3.   That optimism proved unfounded.

4.   The optimism proved to be unfounded.

5.   The optimism proved unfounded.

6.   Watson realizes that if his optimism proves false and he does have to put together a replacement team, he could be in trouble.

7.   Singapore weathermen cautiously predicted less severe haze from regional fires this year, but police announced measures Thursday that they will take if the optimism proves wrong.

8.   That optimism proved right.

9.   And what is most important, your optimism proved true -- we have made a serious step forward in the sphere of international peace and security.