YES Termination proof succeeded Initially, performed program simplifications using lexicographic rank functions: * Removed transitions 1, 3, 4 using the following rank functions: - Rank function 1: RF for loc. 8: 1+2*x_0 RF for loc. 12: 2*x_0 Bound for (chained) transitions 3: 2 Bound for (chained) transitions 4: 2 - Rank function 2: RF for loc. 8: 0 RF for loc. 12: -1 Bound for (chained) transitions 1: 0 * Removed transitions 9, 12, 13 using the following rank functions: - Rank function 1: RF for loc. 9: 1+2*y_0 RF for loc. 16: 2*y_0 Bound for (chained) transitions 12: 2 Bound for (chained) transitions 13: 2 - Rank function 2: RF for loc. 9: 1 RF for loc. 16: 0 Bound for (chained) transitions 9: 1 * Removed transitions 19, 22, 23 using the following rank functions: - Rank function 1: RF for loc. 10: 1-2*x_0+2*z_0 RF for loc. 20: -2*x_0+2*z_0 Bound for (chained) transitions 22: 2 Bound for (chained) transitions 23: 2 - Rank function 2: RF for loc. 10: 1 RF for loc. 20: 0 Bound for (chained) transitions 19: 1 * Removed transitions 29, 32, 33 using the following rank functions: - Rank function 1: RF for loc. 11: 1+2*y_0-2*z_0 RF for loc. 24: 2*y_0-2*z_0 Bound for (chained) transitions 32: 2 Bound for (chained) transitions 33: 2 - Rank function 2: RF for loc. 11: 0 RF for loc. 24: -1 Bound for (chained) transitions 29: 0 Errors: