There were only two non-commutative time black holes at which three pairs of superstrings and three pairs of D3-brane oscillate with laid in three-dimensional time, going back before big bang. The chaos motion between the two non-commutative time black holes gave rise to big bang, from which four-dimensional spacetime exercising gravity and six-dimensional spacetime doing anti-gravity have been set up as universe. Further from here, the six-dimensional spacetime exercising anti-gravity bands non-commutatively with the two non-commutative time black holes. Through this banding between the both, the 6(7)-dimensional curled-up spacetime of Superstring theory that has supersymmetry between graviton and gravitino comes to be ubiquitous all over the macroscopic four-dimensional spacetime. The ‘superfluidity’ embracing regular fluid with breached pair of the new D(3+1)-brane which comes from the 6(7)-dimensional moduli spacetime by supersymmetry breaking exerts dark energy that inflates universe at an accelerating pace.