score:1
According to the Exodus Bible Introductions by John MacArthur, Exodus was written in the 15th century B.C. http://www.gty.org/resources/bible-introductions/MSB02/Exodus . Also the archeological records support this according to https://bible.org/article/introduction-book-exodus
According to the Stanford Encyclopedia of Philosophy http://plato.stanford.edu/entries/parmenides/ and Britannica http://www.britannica.com/EBchecked/topic/444361/Parmenides Parmenides lived a millennium later in 500 B.C
To answer your question who influenced who and which came first, the revelation of the name of God by God, Ehyeh-Asher-Ehyeh, came first.