My argument for atheism +

[snowtracks]

The Principle of Causality states that the cause always preceded the effect, the cause has the sufficiency to explain the effect,  the cause is always greater than the effect since it initiates the transaction.

That's not what the principle of causality states. 

The Principle of Causality. The concept of causality, determinism. ... Causality is a genetic connection of phenomena through which one thing (the cause) under certain conditions gives rise to, causes something else (the effect). The essence of causality is the generation and determination of one phenomenon by another.

Notice the lack of any insistence on "greater" causes - a term you've employed without definition twice.  We'll call it the snowtracks principle, instead.  -Which is fine. 

If the snowtracks principle is true - then brain is "greater" than mind, causes mind, and is a sufficient explanation of mind.

You need to insist that mind is "greater" than brain...but if mind comes from brain...which it demonstrably does...and which you've assumed as well by wondering about the first thought originating from a brain...then the cause does not have to be "greater" than the effect.   This is the fun sort of nonsense you get yourself into when you try to rationalize your ridiculous superstitions.

A Mind is greater than any brain; consciousness (same) unconsciousness, thinking (same) non-thinking.