"Abiogenesis" means the formation of life from inanimate matter. Scientifically, we know that inanimate matter is older than animated matter. Therefor, animated matter had to form from inanimate matter. Thus, abiogenesis is axiomatic (perhaps the word "axiomatic" confused you; it means "taken as a given") because life is here today.
Again, you can couch your position in any terms you wish, but you are completely and totally wrong (but defining terms any way you want to is simply another way evolutionists can prove anything they wish)!
a·bi·o·gen·e·sis - noun Biology. the now discredited theory that living organisms can arise spontaneously from inanimate matter; spontaneous generation. [Origin: a-6 + biogenesis; coined by T. H. Huxley in 1870]
a·bi·o·gen·e·sis n. The supposed development of living organisms from nonliving matter. Also called autogenesis, spontaneous generation.
The rest of your post is such hogwash, I won't even bother to refute it except to say that abiogenesis can only be axiomatic to people who are willing to toss science completely out the window and believe in fiction.
Read the truth about your evolutionist "wet dream" here.
Abiogenesis is spontaneous whether it occurs naturally (read: without intelligent intervention) or occurs via Intelligent Design.
That abiogenesis occured is axiomatic; we are here.
Now, *how* abiogenesis occured, with or without external bias/aid...well, that is up for debate.