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With its small skull, Carnotaurus might not have been able to attack big plant-eaters, but it was probably fast due to its long and powerfully built legs and could have easily chased down smaller, agile prey. In fact research as indicated that despite Carnotaurus had a small head the jaws were able to open very widely apart from other theropod dinosaurs in order to catch prey.
The horns of Carnotaurus look something like those of a bull - and like a bull, it may have used them in contests with others of its own species. In this way, two Carnotaurus could test each other's strength without either of them seriously injuring the other.