Consider the system of adjacent minors, we previously saved as adjmin4. We first must construct a suitable embedding to get to a system with as many equations as unknowns. We call phc -c and type 5 as top dimension. The system the program produces is saved as adjmin4e5. The blackbox solver has no difficulty to solve this problem and appends the witness points to the file adjmin4e5. To compute the irreducible decomposition, we may use the monodromy breakup algorithm, selecting 2 from the menu that comes up when we can the program with the option -f.