construct/rlve integer linear system

construct/rlve integer linear system: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). Find integers x 0 , ..., x 7 satisfying all of the following 19 equations: 1 x 0 + 1 x 1 + 1 x 3 = 15 1 x 3 + 1 x 7 = 14 1 x 0 + 1 x 1 + 1 x 2 + 1 x 3 = 23 1 x 1 + 1 x 2 + 1 x 3 + 1 x 4 + 1 x 5 = 33…