YES Termination proof succeeded Initially, performed program simplifications using lexicographic rank functions: * Removed transitions 3, 5, 6, 11, 12 using the following rank functions: - Rank function 1: RF for loc. 6: y_0 RF for loc. 7: y_0 RF for loc. 8: y_0 Bound for (chained) transitions 11: 1 - Rank function 2: RF for loc. 6: 2+3*x_0 RF for loc. 7: 3*x_0 RF for loc. 8: 1+3*x_0 Bound for (chained) transitions 5: 4 Bound for (chained) transitions 12: 3 - Rank function 3: RF for loc. 6: 1 RF for loc. 7: -1 RF for loc. 8: 0 Bound for (chained) transitions 3: 1 Bound for (chained) transitions 6: 0 Errors: