Abstract
A novel integrable supersymmetric dispersionless fermion system is proposed and studied by means of symmetry approach and the bosonization method, which is integrable under the meaning of possessing infinitely many higher order symmetries. It is shown that there are some types of infinitely many symmetries with arbitrary functions. The first type of infinitely many symmetries commutes each other, whereas the second type of higher order symmetries with arbitrary functions are not commutable and the commutators yield new higher order symmetries. By using the bosonization approach, the system can be bosonized to some special dark integrable systems which can be exactly solved in general.
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