NO

Initial ITS
Start location: l4
   0: l0 -> l1 : Result_4^0'=Result_4^post0, lt_10^0'=lt_10^post0, ct_13^0'=ct_13^post0, lt_9^0'=lt_9^post0, ct_27^0'=ct_27^post0, y_6^0'=y_6^post0, ct_12^0'=ct_12^post0, lt_11^0'=lt_11^post0, ct_21^0'=ct_21^post0, x_5^0'=x_5^post0, (0 == 0 /\ ct_12^0-ct_12^post0 == 0 /\ -ct_21^post0+ct_21^0 == 0 /\ -lt_10^10+lt_11^10 <= 0 /\ lt_10^10-ct_21^0 == 0 /\ -y_6^post0+y_6^0 == 0 /\ -ct_27^post0+ct_27^0 == 0 /\ -x_5^post0+x_5^0 == 0 /\ lt_9^0-lt_9^post0 == 0 /\ ct_13^0-ct_13^post0 == 0 /\ -ct_27^0+lt_11^10 == 0), cost: 1
   1: l0 -> l2 : Result_4^0'=Result_4^post1, lt_10^0'=lt_10^post1, ct_13^0'=ct_13^post1, lt_9^0'=lt_9^post1, ct_27^0'=ct_27^post1, y_6^0'=y_6^post1, ct_12^0'=ct_12^post1, lt_11^0'=lt_11^post1, ct_21^0'=ct_21^post1, x_5^0'=x_5^post1, (0 == 0 /\ y_6^0-y_6^post1 == 0 /\ Result_4^0-Result_4^post1 == 0 /\ ct_27^0-ct_27^post1 == 0 /\ lt_11^110-ct_27^0 == 0 /\ 1+lt_10^11-lt_11^110 <= 0 /\ ct_13^0-ct_13^post1 == 0 /\ -x_5^post1+x_5^0 == 0 /\ -ct_21^post1+ct_21^0 == 0 /\ lt_9^10-ct_21^0 == 0 /\ -ct_12^post1+ct_12^0 == 0 /\ lt_10^11-ct_21^0 == 0), cost: 1
   2: l2 -> l0 : Result_4^0'=Result_4^post2, lt_10^0'=lt_10^post2, ct_13^0'=ct_13^post2, lt_9^0'=lt_9^post2, ct_27^0'=ct_27^post2, y_6^0'=y_6^post2, ct_12^0'=ct_12^post2, lt_11^0'=lt_11^post2, ct_21^0'=ct_21^post2, x_5^0'=x_5^post2, (lt_10^0-lt_10^post2 == 0 /\ -ct_21^post2+ct_21^0 == 0 /\ -ct_27^post2+ct_27^0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ lt_9^0-lt_9^post2 == 0 /\ -y_6^post2+y_6^0 == 0 /\ ct_13^0-ct_13^post2 == 0 /\ ct_12^0-ct_12^post2 == 0 /\ -x_5^post2+x_5^0 == 0 /\ -lt_11^post2+lt_11^0 == 0), cost: 1
   3: l3 -> l0 : Result_4^0'=Result_4^post3, lt_10^0'=lt_10^post3, ct_13^0'=ct_13^post3, lt_9^0'=lt_9^post3, ct_27^0'=ct_27^post3, y_6^0'=y_6^post3, ct_12^0'=ct_12^post3, lt_11^0'=lt_11^post3, ct_21^0'=ct_21^post3, x_5^0'=x_5^post3, (0 == 0 /\ -lt_9^post3+lt_9^0 == 0 /\ -ct_21^post3+ct_21^0 == 0 /\ lt_10^0-lt_10^post3 == 0 /\ Result_4^0-Result_4^post3 == 0 /\ ct_27^0-ct_27^post3 == 0 /\ lt_11^0-lt_11^post3 == 0), cost: 1
   4: l4 -> l3 : Result_4^0'=Result_4^post4, lt_10^0'=lt_10^post4, ct_13^0'=ct_13^post4, lt_9^0'=lt_9^post4, ct_27^0'=ct_27^post4, y_6^0'=y_6^post4, ct_12^0'=ct_12^post4, lt_11^0'=lt_11^post4, ct_21^0'=ct_21^post4, x_5^0'=x_5^post4, (-ct_21^post4+ct_21^0 == 0 /\ -ct_27^post4+ct_27^0 == 0 /\ ct_13^0-ct_13^post4 == 0 /\ ct_12^0-ct_12^post4 == 0 /\ -x_5^post4+x_5^0 == 0 /\ lt_11^0-lt_11^post4 == 0 /\ -lt_10^post4+lt_10^0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ lt_9^0-lt_9^post4 == 0), cost: 1


Removed unreachable rules and leafs
Start location: l4
   1: l0 -> l2 : Result_4^0'=Result_4^post1, lt_10^0'=lt_10^post1, ct_13^0'=ct_13^post1, lt_9^0'=lt_9^post1, ct_27^0'=ct_27^post1, y_6^0'=y_6^post1, ct_12^0'=ct_12^post1, lt_11^0'=lt_11^post1, ct_21^0'=ct_21^post1, x_5^0'=x_5^post1, (0 == 0 /\ y_6^0-y_6^post1 == 0 /\ Result_4^0-Result_4^post1 == 0 /\ ct_27^0-ct_27^post1 == 0 /\ lt_11^110-ct_27^0 == 0 /\ 1+lt_10^11-lt_11^110 <= 0 /\ ct_13^0-ct_13^post1 == 0 /\ -x_5^post1+x_5^0 == 0 /\ -ct_21^post1+ct_21^0 == 0 /\ lt_9^10-ct_21^0 == 0 /\ -ct_12^post1+ct_12^0 == 0 /\ lt_10^11-ct_21^0 == 0), cost: 1
   2: l2 -> l0 : Result_4^0'=Result_4^post2, lt_10^0'=lt_10^post2, ct_13^0'=ct_13^post2, lt_9^0'=lt_9^post2, ct_27^0'=ct_27^post2, y_6^0'=y_6^post2, ct_12^0'=ct_12^post2, lt_11^0'=lt_11^post2, ct_21^0'=ct_21^post2, x_5^0'=x_5^post2, (lt_10^0-lt_10^post2 == 0 /\ -ct_21^post2+ct_21^0 == 0 /\ -ct_27^post2+ct_27^0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ lt_9^0-lt_9^post2 == 0 /\ -y_6^post2+y_6^0 == 0 /\ ct_13^0-ct_13^post2 == 0 /\ ct_12^0-ct_12^post2 == 0 /\ -x_5^post2+x_5^0 == 0 /\ -lt_11^post2+lt_11^0 == 0), cost: 1
   3: l3 -> l0 : Result_4^0'=Result_4^post3, lt_10^0'=lt_10^post3, ct_13^0'=ct_13^post3, lt_9^0'=lt_9^post3, ct_27^0'=ct_27^post3, y_6^0'=y_6^post3, ct_12^0'=ct_12^post3, lt_11^0'=lt_11^post3, ct_21^0'=ct_21^post3, x_5^0'=x_5^post3, (0 == 0 /\ -lt_9^post3+lt_9^0 == 0 /\ -ct_21^post3+ct_21^0 == 0 /\ lt_10^0-lt_10^post3 == 0 /\ Result_4^0-Result_4^post3 == 0 /\ ct_27^0-ct_27^post3 == 0 /\ lt_11^0-lt_11^post3 == 0), cost: 1
   4: l4 -> l3 : Result_4^0'=Result_4^post4, lt_10^0'=lt_10^post4, ct_13^0'=ct_13^post4, lt_9^0'=lt_9^post4, ct_27^0'=ct_27^post4, y_6^0'=y_6^post4, ct_12^0'=ct_12^post4, lt_11^0'=lt_11^post4, ct_21^0'=ct_21^post4, x_5^0'=x_5^post4, (-ct_21^post4+ct_21^0 == 0 /\ -ct_27^post4+ct_27^0 == 0 /\ ct_13^0-ct_13^post4 == 0 /\ ct_12^0-ct_12^post4 == 0 /\ -x_5^post4+x_5^0 == 0 /\ lt_11^0-lt_11^post4 == 0 /\ -lt_10^post4+lt_10^0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ lt_9^0-lt_9^post4 == 0), cost: 1


Applied preprocessing
Original rule:
l0 -> l2 : Result_4^0'=Result_4^post1, lt_10^0'=lt_10^post1, ct_13^0'=ct_13^post1, lt_9^0'=lt_9^post1, ct_27^0'=ct_27^post1, y_6^0'=y_6^post1, ct_12^0'=ct_12^post1, lt_11^0'=lt_11^post1, ct_21^0'=ct_21^post1, x_5^0'=x_5^post1, (0 == 0 /\ y_6^0-y_6^post1 == 0 /\ Result_4^0-Result_4^post1 == 0 /\ ct_27^0-ct_27^post1 == 0 /\ lt_11^110-ct_27^0 == 0 /\ 1+lt_10^11-lt_11^110 <= 0 /\ ct_13^0-ct_13^post1 == 0 /\ -x_5^post1+x_5^0 == 0 /\ -ct_21^post1+ct_21^0 == 0 /\ lt_9^10-ct_21^0 == 0 /\ -ct_12^post1+ct_12^0 == 0 /\ lt_10^11-ct_21^0 == 0), cost: 1
New rule:
l0 -> l2 : lt_10^0'=lt_10^post1, lt_9^0'=lt_9^post1, lt_11^0'=lt_11^post1, 1-ct_27^0+ct_21^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l2 -> l0 : Result_4^0'=Result_4^post2, lt_10^0'=lt_10^post2, ct_13^0'=ct_13^post2, lt_9^0'=lt_9^post2, ct_27^0'=ct_27^post2, y_6^0'=y_6^post2, ct_12^0'=ct_12^post2, lt_11^0'=lt_11^post2, ct_21^0'=ct_21^post2, x_5^0'=x_5^post2, (lt_10^0-lt_10^post2 == 0 /\ -ct_21^post2+ct_21^0 == 0 /\ -ct_27^post2+ct_27^0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ lt_9^0-lt_9^post2 == 0 /\ -y_6^post2+y_6^0 == 0 /\ ct_13^0-ct_13^post2 == 0 /\ ct_12^0-ct_12^post2 == 0 /\ -x_5^post2+x_5^0 == 0 /\ -lt_11^post2+lt_11^0 == 0), cost: 1
New rule:
l2 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l3 -> l0 : Result_4^0'=Result_4^post3, lt_10^0'=lt_10^post3, ct_13^0'=ct_13^post3, lt_9^0'=lt_9^post3, ct_27^0'=ct_27^post3, y_6^0'=y_6^post3, ct_12^0'=ct_12^post3, lt_11^0'=lt_11^post3, ct_21^0'=ct_21^post3, x_5^0'=x_5^post3, (0 == 0 /\ -lt_9^post3+lt_9^0 == 0 /\ -ct_21^post3+ct_21^0 == 0 /\ lt_10^0-lt_10^post3 == 0 /\ Result_4^0-Result_4^post3 == 0 /\ ct_27^0-ct_27^post3 == 0 /\ lt_11^0-lt_11^post3 == 0), cost: 1
New rule:
l3 -> l0 : ct_13^0'=ct_13^post3, y_6^0'=y_6^post3, ct_12^0'=ct_12^post3, x_5^0'=x_5^post3, 0 == 0, cost: 1

Applied preprocessing
Original rule:
l4 -> l3 : Result_4^0'=Result_4^post4, lt_10^0'=lt_10^post4, ct_13^0'=ct_13^post4, lt_9^0'=lt_9^post4, ct_27^0'=ct_27^post4, y_6^0'=y_6^post4, ct_12^0'=ct_12^post4, lt_11^0'=lt_11^post4, ct_21^0'=ct_21^post4, x_5^0'=x_5^post4, (-ct_21^post4+ct_21^0 == 0 /\ -ct_27^post4+ct_27^0 == 0 /\ ct_13^0-ct_13^post4 == 0 /\ ct_12^0-ct_12^post4 == 0 /\ -x_5^post4+x_5^0 == 0 /\ lt_11^0-lt_11^post4 == 0 /\ -lt_10^post4+lt_10^0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ lt_9^0-lt_9^post4 == 0), cost: 1
New rule:
l4 -> l3 : TRUE, cost: 1

Simplified rules
Start location: l4
   5: l0 -> l2 : lt_10^0'=lt_10^post1, lt_9^0'=lt_9^post1, lt_11^0'=lt_11^post1, 1-ct_27^0+ct_21^0 <= 0, cost: 1
   6: l2 -> l0 : TRUE, cost: 1
   7: l3 -> l0 : ct_13^0'=ct_13^post3, y_6^0'=y_6^post3, ct_12^0'=ct_12^post3, x_5^0'=x_5^post3, 0 == 0, cost: 1
   8: l4 -> l3 : TRUE, cost: 1


Eliminating location l3 by chaining:

Applied chaining
First rule:
l4 -> l3 : TRUE, cost: 1
Second rule:
l3 -> l0 : ct_13^0'=ct_13^post3, y_6^0'=y_6^post3, ct_12^0'=ct_12^post3, x_5^0'=x_5^post3, 0 == 0, cost: 1
New rule:
l4 -> l0 : ct_13^0'=ct_13^post3, y_6^0'=y_6^post3, ct_12^0'=ct_12^post3, x_5^0'=x_5^post3, 0 == 0, cost: 2

Applied deletion
Removed the following rules: 7 8

Eliminating location l2 by chaining:

Applied chaining
First rule:
l0 -> l2 : lt_10^0'=lt_10^post1, lt_9^0'=lt_9^post1, lt_11^0'=lt_11^post1, 1-ct_27^0+ct_21^0 <= 0, cost: 1
Second rule:
l2 -> l0 : TRUE, cost: 1
New rule:
l0 -> l0 : lt_10^0'=lt_10^post1, lt_9^0'=lt_9^post1, lt_11^0'=lt_11^post1, 1-ct_27^0+ct_21^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 5 6

Eliminated locations on linear paths
Start location: l4
  10: l0 -> l0 : lt_10^0'=lt_10^post1, lt_9^0'=lt_9^post1, lt_11^0'=lt_11^post1, 1-ct_27^0+ct_21^0 <= 0, cost: 2
   9: l4 -> l0 : ct_13^0'=ct_13^post3, y_6^0'=y_6^post3, ct_12^0'=ct_12^post3, x_5^0'=x_5^post3, 0 == 0, cost: 2


Applied nonterm
Original rule:
l0 -> l0 : lt_10^0'=lt_10^post1, lt_9^0'=lt_9^post1, lt_11^0'=lt_11^post1, 1-ct_27^0+ct_21^0 <= 0, cost: 2
New rule:
l0 -> [5] : -1+ct_27^0-ct_21^0 >= 0, cost: NONTERM

Applied acceleration
Original rule:
l0 -> l0 : lt_10^0'=lt_10^post1, lt_9^0'=lt_9^post1, lt_11^0'=lt_11^post1, 1-ct_27^0+ct_21^0 <= 0, cost: 2
New rule:
l0 -> l0 : lt_10^0'=lt_10^post1, lt_9^0'=lt_9^post1, lt_11^0'=lt_11^post1, -1+ct_27^0-ct_21^0 >= 0, cost: 2*n0

Applied deletion
Removed the following rules: 10

Accelerated simple loops
Start location: l4
  11: l0 -> [5] : -1+ct_27^0-ct_21^0 >= 0, cost: NONTERM
  12: l0 -> l0 : lt_10^0'=lt_10^post1, lt_9^0'=lt_9^post1, lt_11^0'=lt_11^post1, -1+ct_27^0-ct_21^0 >= 0, cost: 2*n0
   9: l4 -> l0 : ct_13^0'=ct_13^post3, y_6^0'=y_6^post3, ct_12^0'=ct_12^post3, x_5^0'=x_5^post3, 0 == 0, cost: 2


Applied chaining
First rule:
l4 -> l0 : ct_13^0'=ct_13^post3, y_6^0'=y_6^post3, ct_12^0'=ct_12^post3, x_5^0'=x_5^post3, 0 == 0, cost: 2
Second rule:
l0 -> [5] : -1+ct_27^0-ct_21^0 >= 0, cost: NONTERM
New rule:
l4 -> [5] : -1+ct_27^0-ct_21^0 >= 0, cost: NONTERM

Applied chaining
First rule:
l4 -> l0 : ct_13^0'=ct_13^post3, y_6^0'=y_6^post3, ct_12^0'=ct_12^post3, x_5^0'=x_5^post3, 0 == 0, cost: 2
Second rule:
l0 -> l0 : lt_10^0'=lt_10^post1, lt_9^0'=lt_9^post1, lt_11^0'=lt_11^post1, -1+ct_27^0-ct_21^0 >= 0, cost: 2*n0
New rule:
l4 -> l0 : lt_10^0'=lt_10^post1, ct_13^0'=ct_13^post3, lt_9^0'=lt_9^post1, y_6^0'=y_6^post3, ct_12^0'=ct_12^post3, lt_11^0'=lt_11^post1, x_5^0'=x_5^post3, -1+ct_27^0-ct_21^0 >= 0, cost: 2+2*n0

Applied deletion
Removed the following rules: 11 12

Chained accelerated rules with incoming rules
Start location: l4
   9: l4 -> l0 : ct_13^0'=ct_13^post3, y_6^0'=y_6^post3, ct_12^0'=ct_12^post3, x_5^0'=x_5^post3, 0 == 0, cost: 2
  13: l4 -> [5] : -1+ct_27^0-ct_21^0 >= 0, cost: NONTERM
  14: l4 -> l0 : lt_10^0'=lt_10^post1, ct_13^0'=ct_13^post3, lt_9^0'=lt_9^post1, y_6^0'=y_6^post3, ct_12^0'=ct_12^post3, lt_11^0'=lt_11^post1, x_5^0'=x_5^post3, -1+ct_27^0-ct_21^0 >= 0, cost: 2+2*n0


Removed unreachable locations and irrelevant leafs
Start location: l4
  13: l4 -> [5] : -1+ct_27^0-ct_21^0 >= 0, cost: NONTERM


Computing asymptotic complexity
Proved nontermination of rule 13 via SMT.

Proved the following lower bound
Complexity:  Nonterm
Cpx degree: Nonterm

Solved cost: NONTERM
Rule cost:   NONTERM
Rule guard:  -1+ct_27^0-ct_21^0 >= 0