NO Initial ITS Start location: l6 0: l0 -> l1 : Result_4^0'=Result_4^post0, lt_8^0'=lt_8^post0, cnt_15^0'=cnt_15^post0, x_5^0'=x_5^post0, lt_7^0'=lt_7^post0, __disjvr_0^0'=__disjvr_0^post0, lt_9^0'=lt_9^post0, cnt_20^0'=cnt_20^post0, y_6^0'=y_6^post0, (0 == 0 /\ -cnt_20^post0+cnt_20^0 == 0 /\ Result_4^0-Result_4^post0 == 0 /\ -lt_7^post0+lt_7^0 == 0 /\ __disjvr_0^0-__disjvr_0^post0 == 0 /\ -lt_9^post0+lt_9^0 == 0 /\ cnt_15^0-cnt_15^post0 == 0 /\ lt_8^0-lt_8^post0 == 0), cost: 1 1: l1 -> l2 : Result_4^0'=Result_4^post1, lt_8^0'=lt_8^post1, cnt_15^0'=cnt_15^post1, x_5^0'=x_5^post1, lt_7^0'=lt_7^post1, __disjvr_0^0'=__disjvr_0^post1, lt_9^0'=lt_9^post1, cnt_20^0'=cnt_20^post1, y_6^0'=y_6^post1, (0 == 0 /\ lt_8^10-cnt_15^0 == 0 /\ -y_6^post1+y_6^0 == 0 /\ -lt_7^post1+lt_7^0 == 0 /\ -cnt_20^0+lt_9^10 == 0 /\ -cnt_20^post1+cnt_20^0 == 0 /\ lt_8^10-lt_9^10 <= 0 /\ -__disjvr_0^post1+__disjvr_0^0 == 0 /\ -lt_8^10+lt_9^10 <= 0 /\ x_5^0-x_5^post1 == 0 /\ cnt_15^0-cnt_15^post1 == 0), cost: 1 2: l1 -> l4 : Result_4^0'=Result_4^post2, lt_8^0'=lt_8^post2, cnt_15^0'=cnt_15^post2, x_5^0'=x_5^post2, lt_7^0'=lt_7^post2, __disjvr_0^0'=__disjvr_0^post2, lt_9^0'=lt_9^post2, cnt_20^0'=cnt_20^post2, y_6^0'=y_6^post2, (x_5^0-x_5^post2 == 0 /\ -__disjvr_0^post2+__disjvr_0^0 == 0 /\ lt_9^post2-cnt_20^0 == 0 /\ lt_7^0-lt_7^post2 == 0 /\ -cnt_15^0+lt_8^post2 == 0 /\ -y_6^post2+y_6^0 == 0 /\ -cnt_15^post2+cnt_15^0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ -cnt_20^post2+cnt_20^0 == 0), cost: 1 3: l4 -> l5 : Result_4^0'=Result_4^post3, lt_8^0'=lt_8^post3, cnt_15^0'=cnt_15^post3, x_5^0'=x_5^post3, lt_7^0'=lt_7^post3, __disjvr_0^0'=__disjvr_0^post3, lt_9^0'=lt_9^post3, cnt_20^0'=cnt_20^post3, y_6^0'=y_6^post3, (-lt_7^post3+lt_7^0 == 0 /\ -cnt_20^post3+cnt_20^0 == 0 /\ -__disjvr_0^0+__disjvr_0^post3 == 0 /\ Result_4^0-Result_4^post3 == 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0 /\ cnt_15^0-cnt_15^post3 == 0 /\ -y_6^post3+y_6^0 == 0 /\ lt_8^0-lt_8^post3 == 0 /\ x_5^0-x_5^post3 == 0 /\ -lt_9^post3+lt_9^0 == 0), cost: 1 4: l5 -> l3 : Result_4^0'=Result_4^post4, lt_8^0'=lt_8^post4, cnt_15^0'=cnt_15^post4, x_5^0'=x_5^post4, lt_7^0'=lt_7^post4, __disjvr_0^0'=__disjvr_0^post4, lt_9^0'=lt_9^post4, cnt_20^0'=cnt_20^post4, y_6^0'=y_6^post4, (0 == 0 /\ x_5^0-x_5^post4 == 0 /\ cnt_15^0-cnt_15^post4 == 0 /\ cnt_20^0-cnt_20^post4 == 0 /\ -y_6^post4+y_6^0 == 0 /\ lt_7^10-cnt_15^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0), cost: 1 5: l3 -> l1 : Result_4^0'=Result_4^post5, lt_8^0'=lt_8^post5, cnt_15^0'=cnt_15^post5, x_5^0'=x_5^post5, lt_7^0'=lt_7^post5, __disjvr_0^0'=__disjvr_0^post5, lt_9^0'=lt_9^post5, cnt_20^0'=cnt_20^post5, y_6^0'=y_6^post5, (cnt_15^0-cnt_15^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^0 == 0 /\ lt_8^0-lt_8^post5 == 0 /\ cnt_20^0-cnt_20^post5 == 0 /\ -x_5^post5+x_5^0 == 0 /\ -y_6^post5+y_6^0 == 0 /\ lt_7^0-lt_7^post5 == 0 /\ Result_4^0-Result_4^post5 == 0 /\ -lt_9^post5+lt_9^0 == 0), cost: 1 6: l6 -> l0 : Result_4^0'=Result_4^post6, lt_8^0'=lt_8^post6, cnt_15^0'=cnt_15^post6, x_5^0'=x_5^post6, lt_7^0'=lt_7^post6, __disjvr_0^0'=__disjvr_0^post6, lt_9^0'=lt_9^post6, cnt_20^0'=cnt_20^post6, y_6^0'=y_6^post6, (-__disjvr_0^post6+__disjvr_0^0 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ -x_5^post6+x_5^0 == 0 /\ cnt_15^0-cnt_15^post6 == 0 /\ lt_7^0-lt_7^post6 == 0 /\ y_6^0-y_6^post6 == 0 /\ lt_8^0-lt_8^post6 == 0 /\ -cnt_20^post6+cnt_20^0 == 0 /\ -lt_9^post6+lt_9^0 == 0), cost: 1 Removed unreachable rules and leafs Start location: l6 0: l0 -> l1 : Result_4^0'=Result_4^post0, lt_8^0'=lt_8^post0, cnt_15^0'=cnt_15^post0, x_5^0'=x_5^post0, lt_7^0'=lt_7^post0, __disjvr_0^0'=__disjvr_0^post0, lt_9^0'=lt_9^post0, cnt_20^0'=cnt_20^post0, y_6^0'=y_6^post0, (0 == 0 /\ -cnt_20^post0+cnt_20^0 == 0 /\ Result_4^0-Result_4^post0 == 0 /\ -lt_7^post0+lt_7^0 == 0 /\ __disjvr_0^0-__disjvr_0^post0 == 0 /\ -lt_9^post0+lt_9^0 == 0 /\ cnt_15^0-cnt_15^post0 == 0 /\ lt_8^0-lt_8^post0 == 0), cost: 1 2: l1 -> l4 : Result_4^0'=Result_4^post2, lt_8^0'=lt_8^post2, cnt_15^0'=cnt_15^post2, x_5^0'=x_5^post2, lt_7^0'=lt_7^post2, __disjvr_0^0'=__disjvr_0^post2, lt_9^0'=lt_9^post2, cnt_20^0'=cnt_20^post2, y_6^0'=y_6^post2, (x_5^0-x_5^post2 == 0 /\ -__disjvr_0^post2+__disjvr_0^0 == 0 /\ lt_9^post2-cnt_20^0 == 0 /\ lt_7^0-lt_7^post2 == 0 /\ -cnt_15^0+lt_8^post2 == 0 /\ -y_6^post2+y_6^0 == 0 /\ -cnt_15^post2+cnt_15^0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ -cnt_20^post2+cnt_20^0 == 0), cost: 1 3: l4 -> l5 : Result_4^0'=Result_4^post3, lt_8^0'=lt_8^post3, cnt_15^0'=cnt_15^post3, x_5^0'=x_5^post3, lt_7^0'=lt_7^post3, __disjvr_0^0'=__disjvr_0^post3, lt_9^0'=lt_9^post3, cnt_20^0'=cnt_20^post3, y_6^0'=y_6^post3, (-lt_7^post3+lt_7^0 == 0 /\ -cnt_20^post3+cnt_20^0 == 0 /\ -__disjvr_0^0+__disjvr_0^post3 == 0 /\ Result_4^0-Result_4^post3 == 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0 /\ cnt_15^0-cnt_15^post3 == 0 /\ -y_6^post3+y_6^0 == 0 /\ lt_8^0-lt_8^post3 == 0 /\ x_5^0-x_5^post3 == 0 /\ -lt_9^post3+lt_9^0 == 0), cost: 1 4: l5 -> l3 : Result_4^0'=Result_4^post4, lt_8^0'=lt_8^post4, cnt_15^0'=cnt_15^post4, x_5^0'=x_5^post4, lt_7^0'=lt_7^post4, __disjvr_0^0'=__disjvr_0^post4, lt_9^0'=lt_9^post4, cnt_20^0'=cnt_20^post4, y_6^0'=y_6^post4, (0 == 0 /\ x_5^0-x_5^post4 == 0 /\ cnt_15^0-cnt_15^post4 == 0 /\ cnt_20^0-cnt_20^post4 == 0 /\ -y_6^post4+y_6^0 == 0 /\ lt_7^10-cnt_15^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0), cost: 1 5: l3 -> l1 : Result_4^0'=Result_4^post5, lt_8^0'=lt_8^post5, cnt_15^0'=cnt_15^post5, x_5^0'=x_5^post5, lt_7^0'=lt_7^post5, __disjvr_0^0'=__disjvr_0^post5, lt_9^0'=lt_9^post5, cnt_20^0'=cnt_20^post5, y_6^0'=y_6^post5, (cnt_15^0-cnt_15^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^0 == 0 /\ lt_8^0-lt_8^post5 == 0 /\ cnt_20^0-cnt_20^post5 == 0 /\ -x_5^post5+x_5^0 == 0 /\ -y_6^post5+y_6^0 == 0 /\ lt_7^0-lt_7^post5 == 0 /\ Result_4^0-Result_4^post5 == 0 /\ -lt_9^post5+lt_9^0 == 0), cost: 1 6: l6 -> l0 : Result_4^0'=Result_4^post6, lt_8^0'=lt_8^post6, cnt_15^0'=cnt_15^post6, x_5^0'=x_5^post6, lt_7^0'=lt_7^post6, __disjvr_0^0'=__disjvr_0^post6, lt_9^0'=lt_9^post6, cnt_20^0'=cnt_20^post6, y_6^0'=y_6^post6, (-__disjvr_0^post6+__disjvr_0^0 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ -x_5^post6+x_5^0 == 0 /\ cnt_15^0-cnt_15^post6 == 0 /\ lt_7^0-lt_7^post6 == 0 /\ y_6^0-y_6^post6 == 0 /\ lt_8^0-lt_8^post6 == 0 /\ -cnt_20^post6+cnt_20^0 == 0 /\ -lt_9^post6+lt_9^0 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : Result_4^0'=Result_4^post0, lt_8^0'=lt_8^post0, cnt_15^0'=cnt_15^post0, x_5^0'=x_5^post0, lt_7^0'=lt_7^post0, __disjvr_0^0'=__disjvr_0^post0, lt_9^0'=lt_9^post0, cnt_20^0'=cnt_20^post0, y_6^0'=y_6^post0, (0 == 0 /\ -cnt_20^post0+cnt_20^0 == 0 /\ Result_4^0-Result_4^post0 == 0 /\ -lt_7^post0+lt_7^0 == 0 /\ __disjvr_0^0-__disjvr_0^post0 == 0 /\ -lt_9^post0+lt_9^0 == 0 /\ cnt_15^0-cnt_15^post0 == 0 /\ lt_8^0-lt_8^post0 == 0), cost: 1 New rule: l0 -> l1 : x_5^0'=x_5^post0, y_6^0'=y_6^post0, 0 == 0, cost: 1 Applied preprocessing Original rule: l1 -> l4 : Result_4^0'=Result_4^post2, lt_8^0'=lt_8^post2, cnt_15^0'=cnt_15^post2, x_5^0'=x_5^post2, lt_7^0'=lt_7^post2, __disjvr_0^0'=__disjvr_0^post2, lt_9^0'=lt_9^post2, cnt_20^0'=cnt_20^post2, y_6^0'=y_6^post2, (x_5^0-x_5^post2 == 0 /\ -__disjvr_0^post2+__disjvr_0^0 == 0 /\ lt_9^post2-cnt_20^0 == 0 /\ lt_7^0-lt_7^post2 == 0 /\ -cnt_15^0+lt_8^post2 == 0 /\ -y_6^post2+y_6^0 == 0 /\ -cnt_15^post2+cnt_15^0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ -cnt_20^post2+cnt_20^0 == 0), cost: 1 New rule: l1 -> l4 : lt_8^0'=cnt_15^0, lt_9^0'=cnt_20^0, TRUE, cost: 1 Applied preprocessing Original rule: l4 -> l5 : Result_4^0'=Result_4^post3, lt_8^0'=lt_8^post3, cnt_15^0'=cnt_15^post3, x_5^0'=x_5^post3, lt_7^0'=lt_7^post3, __disjvr_0^0'=__disjvr_0^post3, lt_9^0'=lt_9^post3, cnt_20^0'=cnt_20^post3, y_6^0'=y_6^post3, (-lt_7^post3+lt_7^0 == 0 /\ -cnt_20^post3+cnt_20^0 == 0 /\ -__disjvr_0^0+__disjvr_0^post3 == 0 /\ Result_4^0-Result_4^post3 == 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0 /\ cnt_15^0-cnt_15^post3 == 0 /\ -y_6^post3+y_6^0 == 0 /\ lt_8^0-lt_8^post3 == 0 /\ x_5^0-x_5^post3 == 0 /\ -lt_9^post3+lt_9^0 == 0), cost: 1 New rule: l4 -> l5 : 0 == 0, cost: 1 Applied preprocessing Original rule: l5 -> l3 : Result_4^0'=Result_4^post4, lt_8^0'=lt_8^post4, cnt_15^0'=cnt_15^post4, x_5^0'=x_5^post4, lt_7^0'=lt_7^post4, __disjvr_0^0'=__disjvr_0^post4, lt_9^0'=lt_9^post4, cnt_20^0'=cnt_20^post4, y_6^0'=y_6^post4, (0 == 0 /\ x_5^0-x_5^post4 == 0 /\ cnt_15^0-cnt_15^post4 == 0 /\ cnt_20^0-cnt_20^post4 == 0 /\ -y_6^post4+y_6^0 == 0 /\ lt_7^10-cnt_15^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0), cost: 1 New rule: l5 -> l3 : lt_8^0'=lt_8^post4, lt_7^0'=lt_7^post4, lt_9^0'=lt_9^post4, 0 == 0, cost: 1 Applied preprocessing Original rule: l3 -> l1 : Result_4^0'=Result_4^post5, lt_8^0'=lt_8^post5, cnt_15^0'=cnt_15^post5, x_5^0'=x_5^post5, lt_7^0'=lt_7^post5, __disjvr_0^0'=__disjvr_0^post5, lt_9^0'=lt_9^post5, cnt_20^0'=cnt_20^post5, y_6^0'=y_6^post5, (cnt_15^0-cnt_15^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^0 == 0 /\ lt_8^0-lt_8^post5 == 0 /\ cnt_20^0-cnt_20^post5 == 0 /\ -x_5^post5+x_5^0 == 0 /\ -y_6^post5+y_6^0 == 0 /\ lt_7^0-lt_7^post5 == 0 /\ Result_4^0-Result_4^post5 == 0 /\ -lt_9^post5+lt_9^0 == 0), cost: 1 New rule: l3 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l6 -> l0 : Result_4^0'=Result_4^post6, lt_8^0'=lt_8^post6, cnt_15^0'=cnt_15^post6, x_5^0'=x_5^post6, lt_7^0'=lt_7^post6, __disjvr_0^0'=__disjvr_0^post6, lt_9^0'=lt_9^post6, cnt_20^0'=cnt_20^post6, y_6^0'=y_6^post6, (-__disjvr_0^post6+__disjvr_0^0 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ -x_5^post6+x_5^0 == 0 /\ cnt_15^0-cnt_15^post6 == 0 /\ lt_7^0-lt_7^post6 == 0 /\ y_6^0-y_6^post6 == 0 /\ lt_8^0-lt_8^post6 == 0 /\ -cnt_20^post6+cnt_20^0 == 0 /\ -lt_9^post6+lt_9^0 == 0), cost: 1 New rule: l6 -> l0 : TRUE, cost: 1 Simplified rules Start location: l6 7: l0 -> l1 : x_5^0'=x_5^post0, y_6^0'=y_6^post0, 0 == 0, cost: 1 8: l1 -> l4 : lt_8^0'=cnt_15^0, lt_9^0'=cnt_20^0, TRUE, cost: 1 9: l4 -> l5 : 0 == 0, cost: 1 10: l5 -> l3 : lt_8^0'=lt_8^post4, lt_7^0'=lt_7^post4, lt_9^0'=lt_9^post4, 0 == 0, cost: 1 11: l3 -> l1 : TRUE, cost: 1 12: l6 -> l0 : TRUE, cost: 1 Eliminating location l0 by chaining: Applied chaining First rule: l6 -> l0 : TRUE, cost: 1 Second rule: l0 -> l1 : x_5^0'=x_5^post0, y_6^0'=y_6^post0, 0 == 0, cost: 1 New rule: l6 -> l1 : x_5^0'=x_5^post0, y_6^0'=y_6^post0, 0 == 0, cost: 2 Applied deletion Removed the following rules: 7 12 Eliminating location l4 by chaining: Applied chaining First rule: l1 -> l4 : lt_8^0'=cnt_15^0, lt_9^0'=cnt_20^0, TRUE, cost: 1 Second rule: l4 -> l5 : 0 == 0, cost: 1 New rule: l1 -> l5 : lt_8^0'=cnt_15^0, lt_9^0'=cnt_20^0, 0 == 0, cost: 2 Applied deletion Removed the following rules: 8 9 Eliminating location l5 by chaining: Applied chaining First rule: l1 -> l5 : lt_8^0'=cnt_15^0, lt_9^0'=cnt_20^0, 0 == 0, cost: 2 Second rule: l5 -> l3 : lt_8^0'=lt_8^post4, lt_7^0'=lt_7^post4, lt_9^0'=lt_9^post4, 0 == 0, cost: 1 New rule: l1 -> l3 : lt_8^0'=lt_8^post4, lt_7^0'=lt_7^post4, lt_9^0'=lt_9^post4, 0 == 0, cost: 3 Applied deletion Removed the following rules: 10 14 Eliminating location l3 by chaining: Applied chaining First rule: l1 -> l3 : lt_8^0'=lt_8^post4, lt_7^0'=lt_7^post4, lt_9^0'=lt_9^post4, 0 == 0, cost: 3 Second rule: l3 -> l1 : TRUE, cost: 1 New rule: l1 -> l1 : lt_8^0'=lt_8^post4, lt_7^0'=lt_7^post4, lt_9^0'=lt_9^post4, 0 == 0, cost: 4 Applied deletion Removed the following rules: 11 15 Eliminated locations on linear paths Start location: l6 16: l1 -> l1 : lt_8^0'=lt_8^post4, lt_7^0'=lt_7^post4, lt_9^0'=lt_9^post4, 0 == 0, cost: 4 13: l6 -> l1 : x_5^0'=x_5^post0, y_6^0'=y_6^post0, 0 == 0, cost: 2 Applied nonterm Original rule: l1 -> l1 : lt_8^0'=lt_8^post4, lt_7^0'=lt_7^post4, lt_9^0'=lt_9^post4, 0 == 0, cost: 4 New rule: l1 -> [7] : 0 >= 0, cost: NONTERM Applied acceleration Original rule: l1 -> l1 : lt_8^0'=lt_8^post4, lt_7^0'=lt_7^post4, lt_9^0'=lt_9^post4, 0 == 0, cost: 4 New rule: l1 -> l1 : lt_8^0'=lt_8^post4, lt_7^0'=lt_7^post4, lt_9^0'=lt_9^post4, 0 >= 0, cost: 4*n0 Applied deletion Removed the following rules: 16 Accelerated simple loops Start location: l6 17: l1 -> [7] : 0 >= 0, cost: NONTERM 18: l1 -> l1 : lt_8^0'=lt_8^post4, lt_7^0'=lt_7^post4, lt_9^0'=lt_9^post4, 0 >= 0, cost: 4*n0 13: l6 -> l1 : x_5^0'=x_5^post0, y_6^0'=y_6^post0, 0 == 0, cost: 2 Applied chaining First rule: l6 -> l1 : x_5^0'=x_5^post0, y_6^0'=y_6^post0, 0 == 0, cost: 2 Second rule: l1 -> [7] : 0 >= 0, cost: NONTERM New rule: l6 -> [7] : (0 >= 0 /\ 0 == 0), cost: NONTERM Applied chaining First rule: l6 -> l1 : x_5^0'=x_5^post0, y_6^0'=y_6^post0, 0 == 0, cost: 2 Second rule: l1 -> l1 : lt_8^0'=lt_8^post4, lt_7^0'=lt_7^post4, lt_9^0'=lt_9^post4, 0 >= 0, cost: 4*n0 New rule: l6 -> l1 : lt_8^0'=lt_8^post4, x_5^0'=x_5^post0, lt_7^0'=lt_7^post4, lt_9^0'=lt_9^post4, y_6^0'=y_6^post0, (0 >= 0 /\ 0 == 0), cost: 2+4*n0 Applied deletion Removed the following rules: 17 18 Chained accelerated rules with incoming rules Start location: l6 13: l6 -> l1 : x_5^0'=x_5^post0, y_6^0'=y_6^post0, 0 == 0, cost: 2 19: l6 -> [7] : (0 >= 0 /\ 0 == 0), cost: NONTERM 20: l6 -> l1 : lt_8^0'=lt_8^post4, x_5^0'=x_5^post0, lt_7^0'=lt_7^post4, lt_9^0'=lt_9^post4, y_6^0'=y_6^post0, (0 >= 0 /\ 0 == 0), cost: 2+4*n0 Removed unreachable locations and irrelevant leafs Start location: l6 19: l6 -> [7] : (0 >= 0 /\ 0 == 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 19 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (0 >= 0 /\ 0 == 0)