Abductive reasoning starts with an observation or set of observations and then seeks to find the simplest and most likely conclusion from the observations. This process, unlike deductive reasoning, yields a plausible conclusion but does not positively verify it. Abductive conclusions are thus qualified as having a remnant of uncertainty or doubt, which is expressed in retreat terms such as "best available" or "most likely". 1
Since nobody can prove either that a God exists or not, it is nonsensical to ask for proofs of Gods existence.
Abductive reasoning is different from deductive reasoning. In deductive reasoning if the premises are true the conclusion follows necessarily as a matter of logic. But even if the premise of the abductive inference is true (rain the previous night makes my lawn wet in the morning), the conclusion might nevertheless be false. It is possible, for example, that someone drove a water tanker and sprayed my lawn with water. Thus, an abductive inference is not logically compelled like a deductive conclusion. That is why it is called “inference to the BEST explanation,” not “inference to the only explanation”. Note that when a particular cause X is the only known cause of a particular effect Y, the abductive inference is much stronger.