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Please provide the evidence that only the Church has the authority to investigate and decide if the evidence is sufficient.

  It's called "canon" law.  Only canons (i.e. church authorities) can interpret and apply it.  The only exceptions are if a laymen get a canon law degree (but even this is a post-V2 modernization).

They are removed by the law itself by tacit resignation.  That's what the law states.  I have not removed anybody.  I simply apply the law to a case. 

“Any office becomes vacant upon the fact and without any declaration by tacit resignation recognized by the law itself if a cleric: Publicly defects from the Catholic faith.”
(1917 Code of Canon Law, Canon 188.4º)

Does the 1917 Code of Canon Law define what constitutes a public defection from the Catholic Faith? I can't find that it does. But there needs to be an authentic interpretation of what constitutes a public defection from the Catholic Faith. 

1917-code-of-canon-law-english.pdf (restorethe54.com)

the Pope cannot destroy the Church to this extent, cannot promulgate a Mass that displeases God and harms souls, and cannot produce thoroughly corrupted "Magisterium" for 60+ years.

Repeating yourself does not make what you say any more accurate.  I asked:  where is the doctrine that says a pope cannot refuse the graces of state offered to him?  Where does it say a pope cannot cause catastrophic damage with all his non-infallible power?  I'll answer myself:  there is no such doctrine.

Obedience cannot oblige us to sin.  When the popes give bad commands, they are being schismatic, not us.  If a sergeant commands a soldier to burn down the barracks, he is being treasonous, but doesn't thereby automatically cease to be a sergeant.  The soldier who says, "Sir, no sir!" does not deny the sergeant's authority.  He recognizes the limits of the sergeant's authority.

I could say the indefectibility of the Church is more marvelously apparent in the past few years than it perhaps ever has been.  Do you realize all the battles and agony faithful priests had to go through to teach what the Church teaches in this crisis?  Rome is occupied by the largest and most ravenous pack of wolves the history of the Church has ever seen.  Not even they, with all their tricks and power, can stop the Holy Ghost from providing us with pastors who feed the flock true doctrine.  That is indefectibility!