construct/rlve integer linear system

construct/rlve integer linear system: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). Find integers x 0 , ..., x 11 satisfying all of the following 33 equations: 1 x 0 + 1 x 2 + 1 x 3 + 1 x 5 + 1 x 7 + 2 x 8 + 1 x 10 + 1 x 11 = 47 1 x 3 + 2 x 4 + 1 x 6 + 1 x 8 = 11 2 x 2 + 1 x 3 + 1…