No, it is not a fact that God exists, as I explained to @TransmutingSoul
Facts require proof, and there is no proof that God exists.
The greatest proof is the Messengers. Their person, their lives and their Message.
Abdul'baha also offers other logical proofs in many talks.
The Bab has given us this.
". Ponder for a while in thy heart, have pity on thyself and turn not aside thine attention from proofs and evidences. However, seek not proofs and evidences after thine idle fancy; but rather base thy proofs upon what God hath appointed.. " The Báb, Selections from the Writings of the Báb, p. 124
We are actually asked ro rise above proofs, but I see that would be a rare soul.
"If thou wishest the divine knowledge and recognition, purify thy heart from all beside God, be wholly attracted to the ideal, beloved One; search for and choose Him and apply thyself to rational and authoritative arguments. For arguments are a guide to the path and by this the heart will be turned unto the Sun of Truth. And when the heart is turned unto the Sun, then the eye will be opened and will recognize the Sun through the Sun itself.
Then man will be in no need of arguments (or proofs), for the Sun is altogether independent, and absolute independence is in need of nothing, and
proofs are one of the things of which absolute independence has no need. Be not like Thomas; be thou like Peter. I hope you will be healed physically, mentally and spiritually..." ‘Abdu’l-Bahá, Bahá’í World Faith, p. 383-384
Regards Tony