Intelligence – as much as is needed and no more – is generously found throughout the creation. So we cannot say that intelligence alone makes humans special.
Consider the weaverbird. The weaverbird nest consists of woven strips of fiber and grass. Using beak and feet, the male weaverbird uses both loops and knots to weave his hanging nest. Then the nest must be inspected by a prospective mate. If she doesn't like the nest's construction, she will turn down the hopeful mate. The male must then tear down his work and start over. Some males have been observed constructing and tearing down their nests two dozen times before finding a prospective mate who is satisfied with his work. Some weaverbirds actually build huge cities of nests protected by a woven roof. One roof over a weaverbird city was 15 feet across!
Human intelligence spans much more than animal intelligence. However, what sets us apart from animals is the fact that our Creator made us to have a special relationship with Him. And even when Adam and Eve placed their will above God's Word, He still loved us enough to pay the highest price to restore us to Himself. Jesus Christ lived in perfect obedience to God for us and then suffered the penalty of our disobedience against God. In His resurrection from the dead, all those who embrace Christ in faith receive the promise of being made new creations again – beginning right here in this life! That's the wide gulf between humans and animals!