NO Initial ITS Start location: l6 Program variables: b_7^0 result_4^0 x_5^0 y_6^0 0: l0 -> l2 : b_7^0'=b_7^post1, result_4^0'=result_4^post1, x_5^0'=x_5^post1, y_6^0'=y_6^post1, (1+x_5^0-y_6^0 <= 0 /\ -b_7^post1+b_7^0 == 0 /\ -x_5^post1+x_5^0 == 0 /\ -y_6^post1+y_6^0 == 0 /\ result_4^0-result_4^post1 == 0), cost: 1 4: l0 -> l4 : b_7^0'=b_7^post5, result_4^0'=result_4^post5, x_5^0'=x_5^post5, y_6^0'=y_6^post5, (0 == 0 /\ -y_6^post5+y_6^0 == 0 /\ -x_5^0+y_6^0 <= 0 /\ -x_5^post5+x_5^0 == 0 /\ -b_7^post5+b_7^0 == 0), cost: 1 1: l2 -> l3 : b_7^0'=b_7^post2, result_4^0'=result_4^post2, x_5^0'=x_5^post2, y_6^0'=y_6^post2, (1+b_7^0 <= 0 /\ -y_6^post2+y_6^0 == 0 /\ -b_7^post2+b_7^0 == 0 /\ -result_4^post2+result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1 2: l2 -> l3 : b_7^0'=b_7^post3, result_4^0'=result_4^post3, x_5^0'=x_5^post3, y_6^0'=y_6^post3, (-y_6^post3+y_6^0 == 0 /\ -b_7^post3+b_7^0 == 0 /\ 1-b_7^0 <= 0 /\ -x_5^post3+x_5^0 == 0 /\ result_4^0-result_4^post3 == 0), cost: 1 3: l3 -> l1 : b_7^0'=b_7^post4, result_4^0'=result_4^post4, x_5^0'=x_5^post4, y_6^0'=y_6^post4, (x_5^0-x_5^post4 == 0 /\ b_7^post4 == 0 /\ result_4^0-result_4^post4 == 0 /\ -1+y_6^post4-y_6^0 == 0), cost: 1 6: l1 -> l0 : b_7^0'=b_7^post7, result_4^0'=result_4^post7, x_5^0'=x_5^post7, y_6^0'=y_6^post7, (-result_4^post7+result_4^0 == 0 /\ -1+x_5^post7-x_5^0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -1+b_7^post7 == 0 /\ -b_7^0 <= 0 /\ b_7^0 <= 0 /\ -y_6^post7+y_6^0 == 0), cost: 1 7: l1 -> l4 : b_7^0'=b_7^post8, result_4^0'=result_4^post8, x_5^0'=x_5^post8, y_6^0'=y_6^post8, (0 == 0 /\ -x_5^0+y_6^0 <= 0 /\ -b_7^post8+b_7^0 == 0 /\ x_5^0-x_5^post8 == 0 /\ -y_6^post8+y_6^0 == 0), cost: 1 5: l5 -> l1 : b_7^0'=b_7^post6, result_4^0'=result_4^post6, x_5^0'=x_5^post6, y_6^0'=y_6^post6, (-x_5^post6+x_5^0 == 0 /\ b_7^post6 == 0 /\ result_4^0-result_4^post6 == 0 /\ -y_6^post6+y_6^0 == 0), cost: 1 8: l6 -> l5 : b_7^0'=b_7^post9, result_4^0'=result_4^post9, x_5^0'=x_5^post9, y_6^0'=y_6^post9, (result_4^0-result_4^post9 == 0 /\ x_5^0-x_5^post9 == 0 /\ -b_7^post9+b_7^0 == 0 /\ -y_6^post9+y_6^0 == 0), cost: 1 Chained Linear Paths Start location: l6 Program variables: b_7^0 result_4^0 x_5^0 y_6^0 0: l0 -> l2 : b_7^0'=b_7^post1, result_4^0'=result_4^post1, x_5^0'=x_5^post1, y_6^0'=y_6^post1, (1+x_5^0-y_6^0 <= 0 /\ -b_7^post1+b_7^0 == 0 /\ -x_5^post1+x_5^0 == 0 /\ -y_6^post1+y_6^0 == 0 /\ result_4^0-result_4^post1 == 0), cost: 1 4: l0 -> l4 : b_7^0'=b_7^post5, result_4^0'=result_4^post5, x_5^0'=x_5^post5, y_6^0'=y_6^post5, (0 == 0 /\ -y_6^post5+y_6^0 == 0 /\ -x_5^0+y_6^0 <= 0 /\ -x_5^post5+x_5^0 == 0 /\ -b_7^post5+b_7^0 == 0), cost: 1 1: l2 -> l3 : b_7^0'=b_7^post2, result_4^0'=result_4^post2, x_5^0'=x_5^post2, y_6^0'=y_6^post2, (1+b_7^0 <= 0 /\ -y_6^post2+y_6^0 == 0 /\ -b_7^post2+b_7^0 == 0 /\ -result_4^post2+result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1 2: l2 -> l3 : b_7^0'=b_7^post3, result_4^0'=result_4^post3, x_5^0'=x_5^post3, y_6^0'=y_6^post3, (-y_6^post3+y_6^0 == 0 /\ -b_7^post3+b_7^0 == 0 /\ 1-b_7^0 <= 0 /\ -x_5^post3+x_5^0 == 0 /\ result_4^0-result_4^post3 == 0), cost: 1 3: l3 -> l1 : b_7^0'=b_7^post4, result_4^0'=result_4^post4, x_5^0'=x_5^post4, y_6^0'=y_6^post4, (x_5^0-x_5^post4 == 0 /\ b_7^post4 == 0 /\ result_4^0-result_4^post4 == 0 /\ -1+y_6^post4-y_6^0 == 0), cost: 1 6: l1 -> l0 : b_7^0'=b_7^post7, result_4^0'=result_4^post7, x_5^0'=x_5^post7, y_6^0'=y_6^post7, (-result_4^post7+result_4^0 == 0 /\ -1+x_5^post7-x_5^0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -1+b_7^post7 == 0 /\ -b_7^0 <= 0 /\ b_7^0 <= 0 /\ -y_6^post7+y_6^0 == 0), cost: 1 7: l1 -> l4 : b_7^0'=b_7^post8, result_4^0'=result_4^post8, x_5^0'=x_5^post8, y_6^0'=y_6^post8, (0 == 0 /\ -x_5^0+y_6^0 <= 0 /\ -b_7^post8+b_7^0 == 0 /\ x_5^0-x_5^post8 == 0 /\ -y_6^post8+y_6^0 == 0), cost: 1 9: l6 -> l1 : b_7^0'=b_7^post6, result_4^0'=result_4^post6, x_5^0'=x_5^post6, y_6^0'=y_6^post6, (result_4^0-result_4^post9 == 0 /\ result_4^post9-result_4^post6 == 0 /\ x_5^0-x_5^post9 == 0 /\ y_6^post9-y_6^post6 == 0 /\ b_7^post6 == 0 /\ -b_7^post9+b_7^0 == 0 /\ -y_6^post9+y_6^0 == 0 /\ -x_5^post6+x_5^post9 == 0), cost: 1 Eliminating location l5 by chaining: Applied chaining First rule: l6 -> l5 : b_7^0'=b_7^post9, result_4^0'=result_4^post9, x_5^0'=x_5^post9, y_6^0'=y_6^post9, (result_4^0-result_4^post9 == 0 /\ x_5^0-x_5^post9 == 0 /\ -b_7^post9+b_7^0 == 0 /\ -y_6^post9+y_6^0 == 0), cost: 1 Second rule: l5 -> l1 : b_7^0'=b_7^post6, result_4^0'=result_4^post6, x_5^0'=x_5^post6, y_6^0'=y_6^post6, (-x_5^post6+x_5^0 == 0 /\ b_7^post6 == 0 /\ result_4^0-result_4^post6 == 0 /\ -y_6^post6+y_6^0 == 0), cost: 1 New rule: l6 -> l1 : b_7^0'=b_7^post6, result_4^0'=result_4^post6, x_5^0'=x_5^post6, y_6^0'=y_6^post6, (result_4^0-result_4^post9 == 0 /\ result_4^post9-result_4^post6 == 0 /\ x_5^0-x_5^post9 == 0 /\ y_6^post9-y_6^post6 == 0 /\ b_7^post6 == 0 /\ -b_7^post9+b_7^0 == 0 /\ -y_6^post9+y_6^0 == 0 /\ -x_5^post6+x_5^post9 == 0), cost: 1 Applied deletion Removed the following rules: 5 8 Simplified Transitions Start location: l6 Program variables: b_7^0 result_4^0 x_5^0 y_6^0 10: l0 -> l2 : 1+x_5^0-y_6^0 <= 0, cost: 1 14: l0 -> l4 : result_4^0'=result_4^post5, -x_5^0+y_6^0 <= 0, cost: 1 11: l2 -> l3 : 1+b_7^0 <= 0, cost: 1 12: l2 -> l3 : 1-b_7^0 <= 0, cost: 1 13: l3 -> l1 : b_7^0'=0, y_6^0'=1+y_6^0, T, cost: 1 15: l1 -> l0 : b_7^0'=1, x_5^0'=1+x_5^0, (1+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0), cost: 1 16: l1 -> l4 : result_4^0'=result_4^post8, -x_5^0+y_6^0 <= 0, cost: 1 17: l6 -> l1 : b_7^0'=0, T, cost: 1 Propagated Equalities Original rule: l0 -> l2 : b_7^0'=b_7^post1, result_4^0'=result_4^post1, x_5^0'=x_5^post1, y_6^0'=y_6^post1, (1+x_5^0-y_6^0 <= 0 /\ -b_7^post1+b_7^0 == 0 /\ -x_5^post1+x_5^0 == 0 /\ -y_6^post1+y_6^0 == 0 /\ result_4^0-result_4^post1 == 0), cost: 1 New rule: l0 -> l2 : b_7^0'=b_7^0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 1+x_5^0-y_6^0 <= 0), cost: 1 propagated equality b_7^post1 = b_7^0 propagated equality x_5^post1 = x_5^0 propagated equality y_6^post1 = y_6^0 propagated equality result_4^post1 = result_4^0 Simplified Guard Original rule: l0 -> l2 : b_7^0'=b_7^0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 1+x_5^0-y_6^0 <= 0), cost: 1 New rule: l0 -> l2 : b_7^0'=b_7^0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 1+x_5^0-y_6^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l0 -> l2 : b_7^0'=b_7^0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 1+x_5^0-y_6^0 <= 0, cost: 1 New rule: l0 -> l2 : 1+x_5^0-y_6^0 <= 0, cost: 1 Propagated Equalities Original rule: l2 -> l3 : b_7^0'=b_7^post2, result_4^0'=result_4^post2, x_5^0'=x_5^post2, y_6^0'=y_6^post2, (1+b_7^0 <= 0 /\ -y_6^post2+y_6^0 == 0 /\ -b_7^post2+b_7^0 == 0 /\ -result_4^post2+result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1 New rule: l2 -> l3 : b_7^0'=b_7^0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 1+b_7^0 <= 0), cost: 1 propagated equality y_6^post2 = y_6^0 propagated equality b_7^post2 = b_7^0 propagated equality result_4^post2 = result_4^0 propagated equality x_5^post2 = x_5^0 Simplified Guard Original rule: l2 -> l3 : b_7^0'=b_7^0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 1+b_7^0 <= 0), cost: 1 New rule: l2 -> l3 : b_7^0'=b_7^0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 1+b_7^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l2 -> l3 : b_7^0'=b_7^0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 1+b_7^0 <= 0, cost: 1 New rule: l2 -> l3 : 1+b_7^0 <= 0, cost: 1 Propagated Equalities Original rule: l2 -> l3 : b_7^0'=b_7^post3, result_4^0'=result_4^post3, x_5^0'=x_5^post3, y_6^0'=y_6^post3, (-y_6^post3+y_6^0 == 0 /\ -b_7^post3+b_7^0 == 0 /\ 1-b_7^0 <= 0 /\ -x_5^post3+x_5^0 == 0 /\ result_4^0-result_4^post3 == 0), cost: 1 New rule: l2 -> l3 : b_7^0'=b_7^0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 1-b_7^0 <= 0), cost: 1 propagated equality y_6^post3 = y_6^0 propagated equality b_7^post3 = b_7^0 propagated equality x_5^post3 = x_5^0 propagated equality result_4^post3 = result_4^0 Simplified Guard Original rule: l2 -> l3 : b_7^0'=b_7^0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 1-b_7^0 <= 0), cost: 1 New rule: l2 -> l3 : b_7^0'=b_7^0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 1-b_7^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l2 -> l3 : b_7^0'=b_7^0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 1-b_7^0 <= 0, cost: 1 New rule: l2 -> l3 : 1-b_7^0 <= 0, cost: 1 Propagated Equalities Original rule: l3 -> l1 : b_7^0'=b_7^post4, result_4^0'=result_4^post4, x_5^0'=x_5^post4, y_6^0'=y_6^post4, (x_5^0-x_5^post4 == 0 /\ b_7^post4 == 0 /\ result_4^0-result_4^post4 == 0 /\ -1+y_6^post4-y_6^0 == 0), cost: 1 New rule: l3 -> l1 : b_7^0'=0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=1+y_6^0, 0 == 0, cost: 1 propagated equality x_5^post4 = x_5^0 propagated equality b_7^post4 = 0 propagated equality result_4^post4 = result_4^0 propagated equality y_6^post4 = 1+y_6^0 Simplified Guard Original rule: l3 -> l1 : b_7^0'=0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=1+y_6^0, 0 == 0, cost: 1 New rule: l3 -> l1 : b_7^0'=0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=1+y_6^0, T, cost: 1 Removed Trivial Updates Original rule: l3 -> l1 : b_7^0'=0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=1+y_6^0, T, cost: 1 New rule: l3 -> l1 : b_7^0'=0, y_6^0'=1+y_6^0, T, cost: 1 Propagated Equalities Original rule: l0 -> l4 : b_7^0'=b_7^post5, result_4^0'=result_4^post5, x_5^0'=x_5^post5, y_6^0'=y_6^post5, (0 == 0 /\ -y_6^post5+y_6^0 == 0 /\ -x_5^0+y_6^0 <= 0 /\ -x_5^post5+x_5^0 == 0 /\ -b_7^post5+b_7^0 == 0), cost: 1 New rule: l0 -> l4 : b_7^0'=b_7^0, result_4^0'=result_4^post5, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ -x_5^0+y_6^0 <= 0), cost: 1 propagated equality y_6^post5 = y_6^0 propagated equality x_5^post5 = x_5^0 propagated equality b_7^post5 = b_7^0 Simplified Guard Original rule: l0 -> l4 : b_7^0'=b_7^0, result_4^0'=result_4^post5, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ -x_5^0+y_6^0 <= 0), cost: 1 New rule: l0 -> l4 : b_7^0'=b_7^0, result_4^0'=result_4^post5, x_5^0'=x_5^0, y_6^0'=y_6^0, -x_5^0+y_6^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l0 -> l4 : b_7^0'=b_7^0, result_4^0'=result_4^post5, x_5^0'=x_5^0, y_6^0'=y_6^0, -x_5^0+y_6^0 <= 0, cost: 1 New rule: l0 -> l4 : result_4^0'=result_4^post5, -x_5^0+y_6^0 <= 0, cost: 1 made implied equalities explicit Original rule: l1 -> l0 : b_7^0'=b_7^post7, result_4^0'=result_4^post7, x_5^0'=x_5^post7, y_6^0'=y_6^post7, (-result_4^post7+result_4^0 == 0 /\ -1+x_5^post7-x_5^0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -1+b_7^post7 == 0 /\ -b_7^0 <= 0 /\ b_7^0 <= 0 /\ -y_6^post7+y_6^0 == 0), cost: 1 New rule: l1 -> l0 : b_7^0'=b_7^post7, result_4^0'=result_4^post7, x_5^0'=x_5^post7, y_6^0'=y_6^post7, (-result_4^post7+result_4^0 == 0 /\ -1+x_5^post7-x_5^0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -1+b_7^post7 == 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0 /\ -y_6^post7+y_6^0 == 0), cost: 1 Propagated Equalities Original rule: l1 -> l0 : b_7^0'=b_7^post7, result_4^0'=result_4^post7, x_5^0'=x_5^post7, y_6^0'=y_6^post7, (-result_4^post7+result_4^0 == 0 /\ -1+x_5^post7-x_5^0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -1+b_7^post7 == 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0 /\ -y_6^post7+y_6^0 == 0), cost: 1 New rule: l1 -> l0 : b_7^0'=1, result_4^0'=result_4^0, x_5^0'=1+x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0), cost: 1 propagated equality result_4^post7 = result_4^0 propagated equality x_5^post7 = 1+x_5^0 propagated equality b_7^post7 = 1 propagated equality y_6^post7 = y_6^0 Simplified Guard Original rule: l1 -> l0 : b_7^0'=1, result_4^0'=result_4^0, x_5^0'=1+x_5^0, y_6^0'=y_6^0, (0 == 0 /\ 1+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0), cost: 1 New rule: l1 -> l0 : b_7^0'=1, result_4^0'=result_4^0, x_5^0'=1+x_5^0, y_6^0'=y_6^0, (1+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0), cost: 1 made implied equalities explicit Original rule: l1 -> l0 : b_7^0'=1, result_4^0'=result_4^0, x_5^0'=1+x_5^0, y_6^0'=y_6^0, (1+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0), cost: 1 New rule: l1 -> l0 : b_7^0'=1, result_4^0'=result_4^0, x_5^0'=1+x_5^0, y_6^0'=y_6^0, (1+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0), cost: 1 Removed Trivial Updates Original rule: l1 -> l0 : b_7^0'=1, result_4^0'=result_4^0, x_5^0'=1+x_5^0, y_6^0'=y_6^0, (1+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0), cost: 1 New rule: l1 -> l0 : b_7^0'=1, x_5^0'=1+x_5^0, (1+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0), cost: 1 Propagated Equalities Original rule: l1 -> l4 : b_7^0'=b_7^post8, result_4^0'=result_4^post8, x_5^0'=x_5^post8, y_6^0'=y_6^post8, (0 == 0 /\ -x_5^0+y_6^0 <= 0 /\ -b_7^post8+b_7^0 == 0 /\ x_5^0-x_5^post8 == 0 /\ -y_6^post8+y_6^0 == 0), cost: 1 New rule: l1 -> l4 : b_7^0'=b_7^0, result_4^0'=result_4^post8, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ -x_5^0+y_6^0 <= 0), cost: 1 propagated equality b_7^post8 = b_7^0 propagated equality x_5^post8 = x_5^0 propagated equality y_6^post8 = y_6^0 Simplified Guard Original rule: l1 -> l4 : b_7^0'=b_7^0, result_4^0'=result_4^post8, x_5^0'=x_5^0, y_6^0'=y_6^0, (0 == 0 /\ -x_5^0+y_6^0 <= 0), cost: 1 New rule: l1 -> l4 : b_7^0'=b_7^0, result_4^0'=result_4^post8, x_5^0'=x_5^0, y_6^0'=y_6^0, -x_5^0+y_6^0 <= 0, cost: 1 Removed Trivial Updates Original rule: l1 -> l4 : b_7^0'=b_7^0, result_4^0'=result_4^post8, x_5^0'=x_5^0, y_6^0'=y_6^0, -x_5^0+y_6^0 <= 0, cost: 1 New rule: l1 -> l4 : result_4^0'=result_4^post8, -x_5^0+y_6^0 <= 0, cost: 1 Propagated Equalities Original rule: l6 -> l1 : b_7^0'=b_7^post6, result_4^0'=result_4^post6, x_5^0'=x_5^post6, y_6^0'=y_6^post6, (result_4^0-result_4^post9 == 0 /\ result_4^post9-result_4^post6 == 0 /\ x_5^0-x_5^post9 == 0 /\ y_6^post9-y_6^post6 == 0 /\ b_7^post6 == 0 /\ -b_7^post9+b_7^0 == 0 /\ -y_6^post9+y_6^0 == 0 /\ -x_5^post6+x_5^post9 == 0), cost: 1 New rule: l6 -> l1 : b_7^0'=0, result_4^0'=result_4^post9, x_5^0'=x_5^post9, y_6^0'=y_6^post9, (0 == 0 /\ result_4^0-result_4^post9 == 0 /\ x_5^0-x_5^post9 == 0 /\ -b_7^post9+b_7^0 == 0 /\ -y_6^post9+y_6^0 == 0), cost: 1 propagated equality result_4^post6 = result_4^post9 propagated equality y_6^post6 = y_6^post9 propagated equality b_7^post6 = 0 propagated equality x_5^post6 = x_5^post9 Propagated Equalities Original rule: l6 -> l1 : b_7^0'=0, result_4^0'=result_4^post9, x_5^0'=x_5^post9, y_6^0'=y_6^post9, (0 == 0 /\ result_4^0-result_4^post9 == 0 /\ x_5^0-x_5^post9 == 0 /\ -b_7^post9+b_7^0 == 0 /\ -y_6^post9+y_6^0 == 0), cost: 1 New rule: l6 -> l1 : b_7^0'=0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 0 == 0, cost: 1 propagated equality result_4^post9 = result_4^0 propagated equality x_5^post9 = x_5^0 propagated equality b_7^post9 = b_7^0 propagated equality y_6^post9 = y_6^0 Simplified Guard Original rule: l6 -> l1 : b_7^0'=0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, 0 == 0, cost: 1 New rule: l6 -> l1 : b_7^0'=0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, T, cost: 1 Removed Trivial Updates Original rule: l6 -> l1 : b_7^0'=0, result_4^0'=result_4^0, x_5^0'=x_5^0, y_6^0'=y_6^0, T, cost: 1 New rule: l6 -> l1 : b_7^0'=0, T, cost: 1 Step with 17 Trace 17[T] Blocked [{}, {}] Step with 16 Trace 17[T], 16[(-x_5^0+y_6^0 <= 0)] Blocked [{}, {}, {}] Backtrack Trace 17[T] Blocked [{}, {16[T]}] Step with 15 Trace 17[T], 15[(1+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0)] Blocked [{}, {16[T]}, {}] Step with 14 Trace 17[T], 15[(1+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0)], 14[(-x_5^0+y_6^0 <= 0)] Blocked [{}, {16[T]}, {}, {}] Backtrack Trace 17[T], 15[(1+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0)] Blocked [{}, {16[T]}, {14[T]}] Step with 10 Trace 17[T], 15[(1+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0)], 10[(1+x_5^0-y_6^0 <= 0)] Blocked [{}, {16[T]}, {14[T]}, {}] Step with 12 Trace 17[T], 15[(1+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0)], 10[(1+x_5^0-y_6^0 <= 0)], 12[(1-b_7^0 <= 0)] Blocked [{}, {16[T]}, {14[T]}, {11[T]}, {}] Step with 13 Trace 17[T], 15[(1+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0)], 10[(1+x_5^0-y_6^0 <= 0)], 12[(1-b_7^0 <= 0)], 13[T] Blocked [{}, {16[T]}, {14[T]}, {11[T]}, {}, {}] Nonterm Start location: l6 Program variables: b_7^0 result_4^0 x_5^0 y_6^0 10: l0 -> l2 : 1+x_5^0-y_6^0 <= 0, cost: 1 14: l0 -> l4 : result_4^0'=result_4^post5, -x_5^0+y_6^0 <= 0, cost: 1 11: l2 -> l3 : 1+b_7^0 <= 0, cost: 1 12: l2 -> l3 : 1-b_7^0 <= 0, cost: 1 13: l3 -> l1 : b_7^0'=0, y_6^0'=1+y_6^0, T, cost: 1 15: l1 -> l0 : b_7^0'=1, x_5^0'=1+x_5^0, (1+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0), cost: 1 16: l1 -> l4 : result_4^0'=result_4^post8, -x_5^0+y_6^0 <= 0, cost: 1 18: l1 -> LoAT_sink : (-2-x_5^0+y_6^0 >= 0 /\ -1-x_5^0+y_6^0 >= 0 /\ -1+n >= 0 /\ -b_7^0 >= 0 /\ b_7^0 >= 0), cost: NONTERM 19: l1 -> l1 : b_7^0'=0, x_5^0'=n+x_5^0, y_6^0'=n+y_6^0, (-2-x_5^0+y_6^0 >= 0 /\ -1-x_5^0+y_6^0 >= 0 /\ -1+n >= 0 /\ -b_7^0 >= 0 /\ b_7^0 >= 0), cost: 1 17: l6 -> l1 : b_7^0'=0, T, cost: 1 Certificate of Non-Termination Original rule: l1 -> l1 : b_7^0'=0, x_5^0'=1+x_5^0, y_6^0'=1+y_6^0, (1+x_5^0-y_6^0 <= 0 /\ 2+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0), cost: 1 New rule: l1 -> LoAT_sink : (-2-x_5^0+y_6^0 >= 0 /\ -1-x_5^0+y_6^0 >= 0 /\ -1+n >= 0 /\ -b_7^0 >= 0 /\ b_7^0 >= 0), cost: NONTERM -2-x_5^0+y_6^0 >= 0 [0]: monotonic increase yields -2-x_5^0+y_6^0 >= 0 -1-x_5^0+y_6^0 >= 0 [0]: monotonic increase yields -1-x_5^0+y_6^0 >= 0, dependencies: -2-x_5^0+y_6^0 >= 0 -b_7^0 >= 0 [0]: monotonic increase yields -b_7^0 >= 0 b_7^0 >= 0 [0]: monotonic increase yields b_7^0 >= 0 Replacement map: {-2-x_5^0+y_6^0 >= 0 -> -2-x_5^0+y_6^0 >= 0, -1-x_5^0+y_6^0 >= 0 -> -1-x_5^0+y_6^0 >= 0, -b_7^0 >= 0 -> -b_7^0 >= 0, b_7^0 >= 0 -> b_7^0 >= 0} Loop Acceleration Original rule: l1 -> l1 : b_7^0'=0, x_5^0'=1+x_5^0, y_6^0'=1+y_6^0, (1+x_5^0-y_6^0 <= 0 /\ 2+x_5^0-y_6^0 <= 0 /\ -b_7^0 <= 0 /\ -b_7^0 == 0 /\ b_7^0 <= 0), cost: 1 New rule: l1 -> l1 : b_7^0'=0, x_5^0'=n+x_5^0, y_6^0'=n+y_6^0, (-2-x_5^0+y_6^0 >= 0 /\ -1-x_5^0+y_6^0 >= 0 /\ -1+n >= 0 /\ -b_7^0 >= 0 /\ b_7^0 >= 0), cost: 1 -2-x_5^0+y_6^0 >= 0 [0]: monotonic increase yields -2-x_5^0+y_6^0 >= 0 -1-x_5^0+y_6^0 >= 0 [0]: monotonic increase yields -1-x_5^0+y_6^0 >= 0, dependencies: -2-x_5^0+y_6^0 >= 0 -b_7^0 >= 0 [0]: monotonic increase yields -b_7^0 >= 0 b_7^0 >= 0 [0]: monotonic increase yields b_7^0 >= 0 Replacement map: {-2-x_5^0+y_6^0 >= 0 -> -2-x_5^0+y_6^0 >= 0, -1-x_5^0+y_6^0 >= 0 -> -1-x_5^0+y_6^0 >= 0, -b_7^0 >= 0 -> -b_7^0 >= 0, b_7^0 >= 0 -> b_7^0 >= 0} Step with 18 Trace 17[T], 18[(-2-x_5^0+y_6^0 >= 0 /\ -1-x_5^0+y_6^0 >= 0 /\ -1+n >= 0 /\ -b_7^0 >= 0 /\ b_7^0 >= 0)] Blocked [{}, {16[T]}, {18[T]}] Refute Counterexample [ b_7^0=0 result_4^0=0 x_5^0=0 y_6^0=2 ] 17 [ b_7^0=b_7^0 result_4^0=0 x_5^0=0 y_6^0=2 ] 18 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b