失败的案例的英语怎么说？

案例失败，可能是后来或更高权限的法院下达了一个和原审相反的审判结果， a case that is overturned/overruled.
如果案子结果被以后的所遵循， 这个case就是 precedent.

Failure of the case
Successful case

examples of successful/failed cases

a failing case
a successful case

failure cases
sucess cases