各位老师好！

NASA’s Mars program was set back when two spacecraft failed up reaching Mars, one ______ (burn) up in the planet’s atmosphere and the other ______ (disappear) after a software failure. 

这个句子，我设想了几个答案，请问老师们哪些是正确的，哪些是错的。

第一空：burning; having burned; burned; having been burned

第二空：having disappeared; disappearing

谢谢老师们。