construct/rlve integer linear system
construct/rlve integer linear system: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). Find integers x 0 , ..., x 4 satisfying all of the following 10 equations: 1 x 1 + 1 x 3 = 6 1 x 0 + 1 x 2 = 7 1 x 0 + 1 x 4 = 6 1 x 0 + 1 x 1 + 1 x 4 = 10 1 x 1 + 1 x 2 = 8 1 x 0 + 1 x 2 + 1 x 3 +…
The task
Find integers x[0], ..., x[4] satisfying all of the following 10 equations: 1*x[1] + 1*x[3] = 6 1*x[0] + 1*x[2] = 7 1*x[0] + 1*x[4] = 6 1*x[0] + 1*x[1] + 1*x[4] = 10 1*x[1] + 1*x[2] = 8 1*x[0] + 1*x[2] + 1*x[3] + 1*x[4] = 12 1*x[2] + 1*x[3] + 1*x[4] = 9 1*x[1] = 4 1*x[0] + 1*x[1] + 1*x[2] + 1*x[3] + 1*x[4] = 16…