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 13 equations: 1 x 1 + 1 x 2 = 5 1 x 0 + 1 x 1 + 1 x 3 + 1 x 4 = 15 1 x 0 + 1 x 1 + 1 x 2 + 1 x 4 = 12 1 x 0 + 1 x 1 + 1 x 2 = 10 1 x 0 +…
The task
Find integers x[0], ..., x[4] satisfying all of the following 13 equations: 1*x[1] + 1*x[2] = 5 1*x[0] + 1*x[1] + 1*x[3] + 1*x[4] = 15 1*x[0] + 1*x[1] + 1*x[2] + 1*x[4] = 12 1*x[0] + 1*x[1] + 1*x[2] = 10 1*x[0] + 1*x[1] + 1*x[2] = 10 1*x[0] + 1*x[4] = 7 1*x[0] + 1*x[1] + 1*x[3] = 13 1*x[0] = 5 1*x[0] + 1*x[2] +…