NO Initial ITS Start location: l5 0: l0 -> l1 : Result_4^0'=Result_4^post0, lt_12^0'=lt_12^post0, y_5^0'=y_5^post0, cnt_40^0'=cnt_40^post0, py_6^0'=py_6^post0, lt_11^0'=lt_11^post0, x_7^0'=x_7^post0, cnt_33^0'=cnt_33^post0, px_8^0'=px_8^post0, lt_10^0'=lt_10^post0, q_9^0'=q_9^post0, (0 == 0 /\ -lt_11^post0+lt_11^0 == 0 /\ lt_10^0-lt_10^post0 == 0 /\ -py_6^post0+q_9^post0 == 0 /\ -cnt_33^post0+cnt_33^0 == 0 /\ cnt_40^0-cnt_40^post0 == 0 /\ lt_12^0-lt_12^post0 == 0 /\ Result_4^0-Result_4^post0 == 0), cost: 1 1: l1 -> l2 : Result_4^0'=Result_4^post1, lt_12^0'=lt_12^post1, y_5^0'=y_5^post1, cnt_40^0'=cnt_40^post1, py_6^0'=py_6^post1, lt_11^0'=lt_11^post1, x_7^0'=x_7^post1, cnt_33^0'=cnt_33^post1, px_8^0'=px_8^post1, lt_10^0'=lt_10^post1, q_9^0'=q_9^post1, (0 == 0 /\ -x_7^post1+x_7^0 == 0 /\ cnt_33^0-cnt_33^post1 == 0 /\ lt_12^10 <= 0 /\ py_6^0-py_6^post1 == 0 /\ -y_5^0+lt_11^10 == 0 /\ lt_12^10-cnt_33^0 == 0 /\ -q_9^post1+q_9^0 == 0 /\ -lt_10^post1+lt_10^0 == 0 /\ -px_8^post1+px_8^0 == 0 /\ y_5^0-y_5^post1 == 0 /\ cnt_40^0-cnt_40^post1 == 0), cost: 1 2: l1 -> l3 : Result_4^0'=Result_4^post2, lt_12^0'=lt_12^post2, y_5^0'=y_5^post2, cnt_40^0'=cnt_40^post2, py_6^0'=py_6^post2, lt_11^0'=lt_11^post2, x_7^0'=x_7^post2, cnt_33^0'=cnt_33^post2, px_8^0'=px_8^post2, lt_10^0'=lt_10^post2, q_9^0'=q_9^post2, (0 == 0 /\ 1-lt_12^110 <= 0 /\ Result_4^0-Result_4^post2 == 0 /\ x_7^0-x_7^post2 == 0 /\ lt_10^10-cnt_40^0 == 0 /\ q_9^post2-px_8^0 == 0 /\ -px_8^post2+px_8^0 == 0 /\ -cnt_33^0+lt_12^110 == 0 /\ -y_5^post2+y_5^0 == 0 /\ -cnt_33^post2+cnt_33^0 == 0 /\ -y_5^0+lt_11^110 == 0 /\ py_6^0-py_6^post2 == 0 /\ cnt_40^0-cnt_40^post2 == 0), cost: 1 3: l3 -> l2 : Result_4^0'=Result_4^post3, lt_12^0'=lt_12^post3, y_5^0'=y_5^post3, cnt_40^0'=cnt_40^post3, py_6^0'=py_6^post3, lt_11^0'=lt_11^post3, x_7^0'=x_7^post3, cnt_33^0'=cnt_33^post3, px_8^0'=px_8^post3, lt_10^0'=lt_10^post3, q_9^0'=q_9^post3, (0 == 0 /\ 1-cnt_40^0+lt_12^120 == 0 /\ -px_8^post3+px_8^0 == 0 /\ cnt_33^0-cnt_33^post3 == 0 /\ -lt_10^post3+lt_10^0 == 0 /\ -q_9^post3+q_9^0 == 0 /\ -x_7^post3+x_7^0 == 0 /\ py_6^0-py_6^post3 == 0 /\ -cnt_40^post3+cnt_40^0 == 0 /\ y_5^0-y_5^post3 == 0 /\ lt_12^120 <= 0 /\ lt_11^111-x_7^0 == 0), cost: 1 4: l3 -> l4 : Result_4^0'=Result_4^post4, lt_12^0'=lt_12^post4, y_5^0'=y_5^post4, cnt_40^0'=cnt_40^post4, py_6^0'=py_6^post4, lt_11^0'=lt_11^post4, x_7^0'=x_7^post4, cnt_33^0'=cnt_33^post4, px_8^0'=px_8^post4, lt_10^0'=lt_10^post4, q_9^0'=q_9^post4, (0 == 0 /\ -x_7^post4+x_7^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ 1-cnt_40^0+lt_10^11 == 0 /\ lt_11^120-x_7^0 == 0 /\ y_5^0-y_5^post4 == 0 /\ py_6^0-py_6^post4 == 0 /\ q_9^post4-px_8^0 == 0 /\ -px_8^post4+px_8^0 == 0 /\ -cnt_33^post4+cnt_33^0 == 0 /\ 1-cnt_40^0+lt_12^130 == 0 /\ 1-lt_12^130 <= 0 /\ cnt_40^0-cnt_40^post4 == 0), cost: 1 5: l4 -> l3 : Result_4^0'=Result_4^post5, lt_12^0'=lt_12^post5, y_5^0'=y_5^post5, cnt_40^0'=cnt_40^post5, py_6^0'=py_6^post5, lt_11^0'=lt_11^post5, x_7^0'=x_7^post5, cnt_33^0'=cnt_33^post5, px_8^0'=px_8^post5, lt_10^0'=lt_10^post5, q_9^0'=q_9^post5, (x_7^0-x_7^post5 == 0 /\ lt_11^0-lt_11^post5 == 0 /\ Result_4^0-Result_4^post5 == 0 /\ cnt_40^0-cnt_40^post5 == 0 /\ y_5^0-y_5^post5 == 0 /\ lt_12^0-lt_12^post5 == 0 /\ -cnt_33^post5+cnt_33^0 == 0 /\ -lt_10^post5+lt_10^0 == 0 /\ -py_6^post5+py_6^0 == 0 /\ -px_8^post5+px_8^0 == 0 /\ -q_9^post5+q_9^0 == 0), cost: 1 6: l5 -> l0 : Result_4^0'=Result_4^post6, lt_12^0'=lt_12^post6, y_5^0'=y_5^post6, cnt_40^0'=cnt_40^post6, py_6^0'=py_6^post6, lt_11^0'=lt_11^post6, x_7^0'=x_7^post6, cnt_33^0'=cnt_33^post6, px_8^0'=px_8^post6, lt_10^0'=lt_10^post6, q_9^0'=q_9^post6, (-q_9^post6+q_9^0 == 0 /\ lt_12^0-lt_12^post6 == 0 /\ -lt_11^post6+lt_11^0 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ py_6^0-py_6^post6 == 0 /\ -lt_10^post6+lt_10^0 == 0 /\ -y_5^post6+y_5^0 == 0 /\ -x_7^post6+x_7^0 == 0 /\ px_8^0-px_8^post6 == 0 /\ cnt_40^0-cnt_40^post6 == 0 /\ cnt_33^0-cnt_33^post6 == 0), cost: 1 Removed unreachable rules and leafs Start location: l5 0: l0 -> l1 : Result_4^0'=Result_4^post0, lt_12^0'=lt_12^post0, y_5^0'=y_5^post0, cnt_40^0'=cnt_40^post0, py_6^0'=py_6^post0, lt_11^0'=lt_11^post0, x_7^0'=x_7^post0, cnt_33^0'=cnt_33^post0, px_8^0'=px_8^post0, lt_10^0'=lt_10^post0, q_9^0'=q_9^post0, (0 == 0 /\ -lt_11^post0+lt_11^0 == 0 /\ lt_10^0-lt_10^post0 == 0 /\ -py_6^post0+q_9^post0 == 0 /\ -cnt_33^post0+cnt_33^0 == 0 /\ cnt_40^0-cnt_40^post0 == 0 /\ lt_12^0-lt_12^post0 == 0 /\ Result_4^0-Result_4^post0 == 0), cost: 1 2: l1 -> l3 : Result_4^0'=Result_4^post2, lt_12^0'=lt_12^post2, y_5^0'=y_5^post2, cnt_40^0'=cnt_40^post2, py_6^0'=py_6^post2, lt_11^0'=lt_11^post2, x_7^0'=x_7^post2, cnt_33^0'=cnt_33^post2, px_8^0'=px_8^post2, lt_10^0'=lt_10^post2, q_9^0'=q_9^post2, (0 == 0 /\ 1-lt_12^110 <= 0 /\ Result_4^0-Result_4^post2 == 0 /\ x_7^0-x_7^post2 == 0 /\ lt_10^10-cnt_40^0 == 0 /\ q_9^post2-px_8^0 == 0 /\ -px_8^post2+px_8^0 == 0 /\ -cnt_33^0+lt_12^110 == 0 /\ -y_5^post2+y_5^0 == 0 /\ -cnt_33^post2+cnt_33^0 == 0 /\ -y_5^0+lt_11^110 == 0 /\ py_6^0-py_6^post2 == 0 /\ cnt_40^0-cnt_40^post2 == 0), cost: 1 4: l3 -> l4 : Result_4^0'=Result_4^post4, lt_12^0'=lt_12^post4, y_5^0'=y_5^post4, cnt_40^0'=cnt_40^post4, py_6^0'=py_6^post4, lt_11^0'=lt_11^post4, x_7^0'=x_7^post4, cnt_33^0'=cnt_33^post4, px_8^0'=px_8^post4, lt_10^0'=lt_10^post4, q_9^0'=q_9^post4, (0 == 0 /\ -x_7^post4+x_7^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ 1-cnt_40^0+lt_10^11 == 0 /\ lt_11^120-x_7^0 == 0 /\ y_5^0-y_5^post4 == 0 /\ py_6^0-py_6^post4 == 0 /\ q_9^post4-px_8^0 == 0 /\ -px_8^post4+px_8^0 == 0 /\ -cnt_33^post4+cnt_33^0 == 0 /\ 1-cnt_40^0+lt_12^130 == 0 /\ 1-lt_12^130 <= 0 /\ cnt_40^0-cnt_40^post4 == 0), cost: 1 5: l4 -> l3 : Result_4^0'=Result_4^post5, lt_12^0'=lt_12^post5, y_5^0'=y_5^post5, cnt_40^0'=cnt_40^post5, py_6^0'=py_6^post5, lt_11^0'=lt_11^post5, x_7^0'=x_7^post5, cnt_33^0'=cnt_33^post5, px_8^0'=px_8^post5, lt_10^0'=lt_10^post5, q_9^0'=q_9^post5, (x_7^0-x_7^post5 == 0 /\ lt_11^0-lt_11^post5 == 0 /\ Result_4^0-Result_4^post5 == 0 /\ cnt_40^0-cnt_40^post5 == 0 /\ y_5^0-y_5^post5 == 0 /\ lt_12^0-lt_12^post5 == 0 /\ -cnt_33^post5+cnt_33^0 == 0 /\ -lt_10^post5+lt_10^0 == 0 /\ -py_6^post5+py_6^0 == 0 /\ -px_8^post5+px_8^0 == 0 /\ -q_9^post5+q_9^0 == 0), cost: 1 6: l5 -> l0 : Result_4^0'=Result_4^post6, lt_12^0'=lt_12^post6, y_5^0'=y_5^post6, cnt_40^0'=cnt_40^post6, py_6^0'=py_6^post6, lt_11^0'=lt_11^post6, x_7^0'=x_7^post6, cnt_33^0'=cnt_33^post6, px_8^0'=px_8^post6, lt_10^0'=lt_10^post6, q_9^0'=q_9^post6, (-q_9^post6+q_9^0 == 0 /\ lt_12^0-lt_12^post6 == 0 /\ -lt_11^post6+lt_11^0 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ py_6^0-py_6^post6 == 0 /\ -lt_10^post6+lt_10^0 == 0 /\ -y_5^post6+y_5^0 == 0 /\ -x_7^post6+x_7^0 == 0 /\ px_8^0-px_8^post6 == 0 /\ cnt_40^0-cnt_40^post6 == 0 /\ cnt_33^0-cnt_33^post6 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : Result_4^0'=Result_4^post0, lt_12^0'=lt_12^post0, y_5^0'=y_5^post0, cnt_40^0'=cnt_40^post0, py_6^0'=py_6^post0, lt_11^0'=lt_11^post0, x_7^0'=x_7^post0, cnt_33^0'=cnt_33^post0, px_8^0'=px_8^post0, lt_10^0'=lt_10^post0, q_9^0'=q_9^post0, (0 == 0 /\ -lt_11^post0+lt_11^0 == 0 /\ lt_10^0-lt_10^post0 == 0 /\ -py_6^post0+q_9^post0 == 0 /\ -cnt_33^post0+cnt_33^0 == 0 /\ cnt_40^0-cnt_40^post0 == 0 /\ lt_12^0-lt_12^post0 == 0 /\ Result_4^0-Result_4^post0 == 0), cost: 1 New rule: l0 -> l1 : y_5^0'=y_5^post0, py_6^0'=q_9^post0, x_7^0'=x_7^post0, px_8^0'=px_8^post0, q_9^0'=q_9^post0, 0 == 0, cost: 1 Applied preprocessing Original rule: l1 -> l3 : Result_4^0'=Result_4^post2, lt_12^0'=lt_12^post2, y_5^0'=y_5^post2, cnt_40^0'=cnt_40^post2, py_6^0'=py_6^post2, lt_11^0'=lt_11^post2, x_7^0'=x_7^post2, cnt_33^0'=cnt_33^post2, px_8^0'=px_8^post2, lt_10^0'=lt_10^post2, q_9^0'=q_9^post2, (0 == 0 /\ 1-lt_12^110 <= 0 /\ Result_4^0-Result_4^post2 == 0 /\ x_7^0-x_7^post2 == 0 /\ lt_10^10-cnt_40^0 == 0 /\ q_9^post2-px_8^0 == 0 /\ -px_8^post2+px_8^0 == 0 /\ -cnt_33^0+lt_12^110 == 0 /\ -y_5^post2+y_5^0 == 0 /\ -cnt_33^post2+cnt_33^0 == 0 /\ -y_5^0+lt_11^110 == 0 /\ py_6^0-py_6^post2 == 0 /\ cnt_40^0-cnt_40^post2 == 0), cost: 1 New rule: l1 -> l3 : lt_12^0'=lt_12^post2, lt_11^0'=lt_11^post2, lt_10^0'=lt_10^post2, q_9^0'=px_8^0, -1+cnt_33^0 >= 0, cost: 1 Applied preprocessing Original rule: l3 -> l4 : Result_4^0'=Result_4^post4, lt_12^0'=lt_12^post4, y_5^0'=y_5^post4, cnt_40^0'=cnt_40^post4, py_6^0'=py_6^post4, lt_11^0'=lt_11^post4, x_7^0'=x_7^post4, cnt_33^0'=cnt_33^post4, px_8^0'=px_8^post4, lt_10^0'=lt_10^post4, q_9^0'=q_9^post4, (0 == 0 /\ -x_7^post4+x_7^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ 1-cnt_40^0+lt_10^11 == 0 /\ lt_11^120-x_7^0 == 0 /\ y_5^0-y_5^post4 == 0 /\ py_6^0-py_6^post4 == 0 /\ q_9^post4-px_8^0 == 0 /\ -px_8^post4+px_8^0 == 0 /\ -cnt_33^post4+cnt_33^0 == 0 /\ 1-cnt_40^0+lt_12^130 == 0 /\ 1-lt_12^130 <= 0 /\ cnt_40^0-cnt_40^post4 == 0), cost: 1 New rule: l3 -> l4 : lt_12^0'=lt_12^post4, lt_11^0'=lt_11^post4, lt_10^0'=lt_10^post4, q_9^0'=px_8^0, -2+cnt_40^0 >= 0, cost: 1 Applied preprocessing Original rule: l4 -> l3 : Result_4^0'=Result_4^post5, lt_12^0'=lt_12^post5, y_5^0'=y_5^post5, cnt_40^0'=cnt_40^post5, py_6^0'=py_6^post5, lt_11^0'=lt_11^post5, x_7^0'=x_7^post5, cnt_33^0'=cnt_33^post5, px_8^0'=px_8^post5, lt_10^0'=lt_10^post5, q_9^0'=q_9^post5, (x_7^0-x_7^post5 == 0 /\ lt_11^0-lt_11^post5 == 0 /\ Result_4^0-Result_4^post5 == 0 /\ cnt_40^0-cnt_40^post5 == 0 /\ y_5^0-y_5^post5 == 0 /\ lt_12^0-lt_12^post5 == 0 /\ -cnt_33^post5+cnt_33^0 == 0 /\ -lt_10^post5+lt_10^0 == 0 /\ -py_6^post5+py_6^0 == 0 /\ -px_8^post5+px_8^0 == 0 /\ -q_9^post5+q_9^0 == 0), cost: 1 New rule: l4 -> l3 : TRUE, cost: 1 Applied preprocessing Original rule: l5 -> l0 : Result_4^0'=Result_4^post6, lt_12^0'=lt_12^post6, y_5^0'=y_5^post6, cnt_40^0'=cnt_40^post6, py_6^0'=py_6^post6, lt_11^0'=lt_11^post6, x_7^0'=x_7^post6, cnt_33^0'=cnt_33^post6, px_8^0'=px_8^post6, lt_10^0'=lt_10^post6, q_9^0'=q_9^post6, (-q_9^post6+q_9^0 == 0 /\ lt_12^0-lt_12^post6 == 0 /\ -lt_11^post6+lt_11^0 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ py_6^0-py_6^post6 == 0 /\ -lt_10^post6+lt_10^0 == 0 /\ -y_5^post6+y_5^0 == 0 /\ -x_7^post6+x_7^0 == 0 /\ px_8^0-px_8^post6 == 0 /\ cnt_40^0-cnt_40^post6 == 0 /\ cnt_33^0-cnt_33^post6 == 0), cost: 1 New rule: l5 -> l0 : TRUE, cost: 1 Simplified rules Start location: l5 7: l0 -> l1 : y_5^0'=y_5^post0, py_6^0'=q_9^post0, x_7^0'=x_7^post0, px_8^0'=px_8^post0, q_9^0'=q_9^post0, 0 == 0, cost: 1 8: l1 -> l3 : lt_12^0'=lt_12^post2, lt_11^0'=lt_11^post2, lt_10^0'=lt_10^post2, q_9^0'=px_8^0, -1+cnt_33^0 >= 0, cost: 1 9: l3 -> l4 : lt_12^0'=lt_12^post4, lt_11^0'=lt_11^post4, lt_10^0'=lt_10^post4, q_9^0'=px_8^0, -2+cnt_40^0 >= 0, cost: 1 10: l4 -> l3 : TRUE, cost: 1 11: l5 -> l0 : TRUE, cost: 1 Eliminating location l0 by chaining: Applied chaining First rule: l5 -> l0 : TRUE, cost: 1 Second rule: l0 -> l1 : y_5^0'=y_5^post0, py_6^0'=q_9^post0, x_7^0'=x_7^post0, px_8^0'=px_8^post0, q_9^0'=q_9^post0, 0 == 0, cost: 1 New rule: l5 -> l1 : y_5^0'=y_5^post0, py_6^0'=q_9^post0, x_7^0'=x_7^post0, px_8^0'=px_8^post0, q_9^0'=q_9^post0, 0 == 0, cost: 2 Applied deletion Removed the following rules: 7 11 Eliminating location l1 by chaining: Applied chaining First rule: l5 -> l1 : y_5^0'=y_5^post0, py_6^0'=q_9^post0, x_7^0'=x_7^post0, px_8^0'=px_8^post0, q_9^0'=q_9^post0, 0 == 0, cost: 2 Second rule: l1 -> l3 : lt_12^0'=lt_12^post2, lt_11^0'=lt_11^post2, lt_10^0'=lt_10^post2, q_9^0'=px_8^0, -1+cnt_33^0 >= 0, cost: 1 New rule: l5 -> l3 : lt_12^0'=lt_12^post2, y_5^0'=y_5^post0, py_6^0'=q_9^post0, lt_11^0'=lt_11^post2, x_7^0'=x_7^post0, px_8^0'=px_8^post0, lt_10^0'=lt_10^post2, q_9^0'=px_8^post0, (0 == 0 /\ -1+cnt_33^0 >= 0), cost: 3 Applied simplification Original rule: l5 -> l3 : lt_12^0'=lt_12^post2, y_5^0'=y_5^post0, py_6^0'=q_9^post0, lt_11^0'=lt_11^post2, x_7^0'=x_7^post0, px_8^0'=px_8^post0, lt_10^0'=lt_10^post2, q_9^0'=px_8^post0, (0 == 0 /\ -1+cnt_33^0 >= 0), cost: 3 New rule: l5 -> l3 : lt_12^0'=lt_12^post2, y_5^0'=y_5^post0, py_6^0'=q_9^post0, lt_11^0'=lt_11^post2, x_7^0'=x_7^post0, px_8^0'=px_8^post0, lt_10^0'=lt_10^post2, q_9^0'=px_8^post0, -1+cnt_33^0 >= 0, cost: 3 Applied deletion Removed the following rules: 8 12 Eliminating location l4 by chaining: Applied chaining First rule: l3 -> l4 : lt_12^0'=lt_12^post4, lt_11^0'=lt_11^post4, lt_10^0'=lt_10^post4, q_9^0'=px_8^0, -2+cnt_40^0 >= 0, cost: 1 Second rule: l4 -> l3 : TRUE, cost: 1 New rule: l3 -> l3 : lt_12^0'=lt_12^post4, lt_11^0'=lt_11^post4, lt_10^0'=lt_10^post4, q_9^0'=px_8^0, -2+cnt_40^0 >= 0, cost: 2 Applied deletion Removed the following rules: 9 10 Eliminated locations on linear paths Start location: l5 14: l3 -> l3 : lt_12^0'=lt_12^post4, lt_11^0'=lt_11^post4, lt_10^0'=lt_10^post4, q_9^0'=px_8^0, -2+cnt_40^0 >= 0, cost: 2 13: l5 -> l3 : lt_12^0'=lt_12^post2, y_5^0'=y_5^post0, py_6^0'=q_9^post0, lt_11^0'=lt_11^post2, x_7^0'=x_7^post0, px_8^0'=px_8^post0, lt_10^0'=lt_10^post2, q_9^0'=px_8^post0, -1+cnt_33^0 >= 0, cost: 3 Applied nonterm Original rule: l3 -> l3 : lt_12^0'=lt_12^post4, lt_11^0'=lt_11^post4, lt_10^0'=lt_10^post4, q_9^0'=px_8^0, -2+cnt_40^0 >= 0, cost: 2 New rule: l3 -> [6] : -2+cnt_40^0 >= 0, cost: NONTERM Applied acceleration Original rule: l3 -> l3 : lt_12^0'=lt_12^post4, lt_11^0'=lt_11^post4, lt_10^0'=lt_10^post4, q_9^0'=px_8^0, -2+cnt_40^0 >= 0, cost: 2 New rule: l3 -> l3 : lt_12^0'=lt_12^post4, lt_11^0'=lt_11^post4, lt_10^0'=lt_10^post4, q_9^0'=px_8^0, -2+cnt_40^0 >= 0, cost: 2*n0 Applied deletion Removed the following rules: 14 Accelerated simple loops Start location: l5 15: l3 -> [6] : -2+cnt_40^0 >= 0, cost: NONTERM 16: l3 -> l3 : lt_12^0'=lt_12^post4, lt_11^0'=lt_11^post4, lt_10^0'=lt_10^post4, q_9^0'=px_8^0, -2+cnt_40^0 >= 0, cost: 2*n0 13: l5 -> l3 : lt_12^0'=lt_12^post2, y_5^0'=y_5^post0, py_6^0'=q_9^post0, lt_11^0'=lt_11^post2, x_7^0'=x_7^post0, px_8^0'=px_8^post0, lt_10^0'=lt_10^post2, q_9^0'=px_8^post0, -1+cnt_33^0 >= 0, cost: 3 Applied chaining First rule: l5 -> l3 : lt_12^0'=lt_12^post2, y_5^0'=y_5^post0, py_6^0'=q_9^post0, lt_11^0'=lt_11^post2, x_7^0'=x_7^post0, px_8^0'=px_8^post0, lt_10^0'=lt_10^post2, q_9^0'=px_8^post0, -1+cnt_33^0 >= 0, cost: 3 Second rule: l3 -> [6] : -2+cnt_40^0 >= 0, cost: NONTERM New rule: l5 -> [6] : (-1+cnt_33^0 >= 0 /\ -2+cnt_40^0 >= 0), cost: NONTERM Applied chaining First rule: l5 -> l3 : lt_12^0'=lt_12^post2, y_5^0'=y_5^post0, py_6^0'=q_9^post0, lt_11^0'=lt_11^post2, x_7^0'=x_7^post0, px_8^0'=px_8^post0, lt_10^0'=lt_10^post2, q_9^0'=px_8^post0, -1+cnt_33^0 >= 0, cost: 3 Second rule: l3 -> l3 : lt_12^0'=lt_12^post4, lt_11^0'=lt_11^post4, lt_10^0'=lt_10^post4, q_9^0'=px_8^0, -2+cnt_40^0 >= 0, cost: 2*n0 New rule: l5 -> l3 : lt_12^0'=lt_12^post4, y_5^0'=y_5^post0, py_6^0'=q_9^post0, lt_11^0'=lt_11^post4, x_7^0'=x_7^post0, px_8^0'=px_8^post0, lt_10^0'=lt_10^post4, q_9^0'=px_8^post0, (-1+cnt_33^0 >= 0 /\ -2+cnt_40^0 >= 0), cost: 3+2*n0 Applied deletion Removed the following rules: 15 16 Chained accelerated rules with incoming rules Start location: l5 13: l5 -> l3 : lt_12^0'=lt_12^post2, y_5^0'=y_5^post0, py_6^0'=q_9^post0, lt_11^0'=lt_11^post2, x_7^0'=x_7^post0, px_8^0'=px_8^post0, lt_10^0'=lt_10^post2, q_9^0'=px_8^post0, -1+cnt_33^0 >= 0, cost: 3 17: l5 -> [6] : (-1+cnt_33^0 >= 0 /\ -2+cnt_40^0 >= 0), cost: NONTERM 18: l5 -> l3 : lt_12^0'=lt_12^post4, y_5^0'=y_5^post0, py_6^0'=q_9^post0, lt_11^0'=lt_11^post4, x_7^0'=x_7^post0, px_8^0'=px_8^post0, lt_10^0'=lt_10^post4, q_9^0'=px_8^post0, (-1+cnt_33^0 >= 0 /\ -2+cnt_40^0 >= 0), cost: 3+2*n0 Removed unreachable locations and irrelevant leafs Start location: l5 17: l5 -> [6] : (-1+cnt_33^0 >= 0 /\ -2+cnt_40^0 >= 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 17 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (-1+cnt_33^0 >= 0 /\ -2+cnt_40^0 >= 0)