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 28 equations: 1 x 0 + 1 x 3 + 1 x 6 + 2 x 9 + 2 x 11 = 42 2 x 1 + 1 x 5 + 2 x 6 + 1 x 7 + 2 x 8 + 1 x 11 = 84 2 x 1 + 2 x 4 + 1 x 8 + 1…
The task
Find integers x[0], ..., x[11] satisfying all of the following 28 equations: 1*x[0] + 1*x[3] + 1*x[6] + 2*x[9] + 2*x[11] = 42 2*x[1] + 1*x[5] + 2*x[6] + 1*x[7] + 2*x[8] + 1*x[11] = 84 2*x[1] + 2*x[4] + 1*x[8] + 1*x[10] + 2*x[11] = 56 1*x[1] + 1*x[2] + 1*x[5] + 2*x[9] + 1*x[10] + 1*x[11] = 38 2*x[0] + 2*x[2] + 1*x[5]…