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: 2 x 0 + 2 x 5 + 2 x 6 + 2 x 8 + 1 x 9 = 76 1 x 2 + 1 x 5 + 1 x 8 + 2 x 9 + 2 x 10 + 2 x 11 = 77 1 x 1 + 1 x 6 + 2 x 9 + 1…
The task
Find integers x[0], ..., x[11] satisfying all of the following 33 equations: 2*x[0] + 2*x[5] + 2*x[6] + 2*x[8] + 1*x[9] = 76 1*x[2] + 1*x[5] + 1*x[8] + 2*x[9] + 2*x[10] + 2*x[11] = 77 1*x[1] + 1*x[6] + 2*x[9] + 1*x[10] = 52 2*x[0] + 2*x[1] + 1*x[2] + 2*x[3] + 1*x[6] + 2*x[7] + 2*x[11] = 80 1*x[0] + 1*x[1] + 1*x[2] +…