Not a lot of the evidence doesn't seem dissonant to negating the lie that it is not not unlikely.

这句貌似语病严重。。。
（神啊，有几重否定啊。。。您哪来的句子？）

但是，

意思应该是

并没有很多的证据可以否认这是谎言

Not a lot of the evidence doesn't seem dissonant to negating the lie that it is not not unlikely.
没有太多的证据似乎并不不和谐，以否定的谎言，这不是没有可能。