NO

Initial ITS
Start location: l4
   0: l0 -> l1 : ct_25^0'=ct_25^post0, ct_10^0'=ct_10^post0, y_6^0'=y_6^post0, lt_8^0'=lt_8^post0, ct_19^0'=ct_19^post0, Result_4^0'=Result_4^post0, x_5^0'=x_5^post0, lt_7^0'=lt_7^post0, ct_11^0'=ct_11^post0, lt_9^0'=lt_9^post0, (0 == 0 /\ lt_8^0-lt_8^post0 == 0 /\ -lt_9^post0+lt_9^0 == 0 /\ ct_19^0-ct_19^post0 == 0 /\ ct_25^0-ct_25^post0 == 0 /\ -Result_4^post0+Result_4^0 == 0 /\ -lt_7^post0+lt_7^0 == 0), cost: 1
   1: l1 -> l2 : ct_25^0'=ct_25^post1, ct_10^0'=ct_10^post1, y_6^0'=y_6^post1, lt_8^0'=lt_8^post1, ct_19^0'=ct_19^post1, Result_4^0'=Result_4^post1, x_5^0'=x_5^post1, lt_7^0'=lt_7^post1, ct_11^0'=ct_11^post1, lt_9^0'=lt_9^post1, (0 == 0 /\ ct_19^0-ct_19^post1 == 0 /\ -ct_25^0+lt_9^10 == 0 /\ ct_10^0-ct_10^post1 == 0 /\ -ct_19^0+lt_8^10 == 0 /\ lt_9^10-lt_8^10 <= 0 /\ -y_6^post1+y_6^0 == 0 /\ ct_25^0-ct_25^post1 == 0 /\ lt_7^0-lt_7^post1 == 0 /\ -ct_11^post1+ct_11^0 == 0 /\ -x_5^post1+x_5^0 == 0), cost: 1
   2: l1 -> l3 : ct_25^0'=ct_25^post2, ct_10^0'=ct_10^post2, y_6^0'=y_6^post2, lt_8^0'=lt_8^post2, ct_19^0'=ct_19^post2, Result_4^0'=Result_4^post2, x_5^0'=x_5^post2, lt_7^0'=lt_7^post2, ct_11^0'=ct_11^post2, lt_9^0'=lt_9^post2, (0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ -ct_19^0+lt_7^10 == 0 /\ -ct_25^0+lt_9^110 == 0 /\ ct_25^0-ct_25^post2 == 0 /\ -ct_11^post2+ct_11^0 == 0 /\ ct_10^0-ct_10^post2 == 0 /\ y_6^0-y_6^post2 == 0 /\ lt_8^110-ct_19^0 == 0 /\ x_5^0-x_5^post2 == 0 /\ 1+lt_8^110-lt_9^110 <= 0 /\ ct_19^0-ct_19^post2 == 0), cost: 1
   3: l3 -> l1 : ct_25^0'=ct_25^post3, ct_10^0'=ct_10^post3, y_6^0'=y_6^post3, lt_8^0'=lt_8^post3, ct_19^0'=ct_19^post3, Result_4^0'=Result_4^post3, x_5^0'=x_5^post3, lt_7^0'=lt_7^post3, ct_11^0'=ct_11^post3, lt_9^0'=lt_9^post3, (ct_10^0-ct_10^post3 == 0 /\ Result_4^0-Result_4^post3 == 0 /\ x_5^0-x_5^post3 == 0 /\ ct_25^0-ct_25^post3 == 0 /\ -lt_8^post3+lt_8^0 == 0 /\ -lt_9^post3+lt_9^0 == 0 /\ y_6^0-y_6^post3 == 0 /\ -lt_7^post3+lt_7^0 == 0 /\ -ct_11^post3+ct_11^0 == 0 /\ -ct_19^post3+ct_19^0 == 0), cost: 1
   4: l4 -> l0 : ct_25^0'=ct_25^post4, ct_10^0'=ct_10^post4, y_6^0'=y_6^post4, lt_8^0'=lt_8^post4, ct_19^0'=ct_19^post4, Result_4^0'=Result_4^post4, x_5^0'=x_5^post4, lt_7^0'=lt_7^post4, ct_11^0'=ct_11^post4, lt_9^0'=lt_9^post4, (ct_25^0-ct_25^post4 == 0 /\ ct_10^0-ct_10^post4 == 0 /\ -ct_19^post4+ct_19^0 == 0 /\ -ct_11^post4+ct_11^0 == 0 /\ -lt_9^post4+lt_9^0 == 0 /\ lt_8^0-lt_8^post4 == 0 /\ -y_6^post4+y_6^0 == 0 /\ -lt_7^post4+lt_7^0 == 0 /\ -Result_4^post4+Result_4^0 == 0 /\ -x_5^post4+x_5^0 == 0), cost: 1


Removed unreachable rules and leafs
Start location: l4
   0: l0 -> l1 : ct_25^0'=ct_25^post0, ct_10^0'=ct_10^post0, y_6^0'=y_6^post0, lt_8^0'=lt_8^post0, ct_19^0'=ct_19^post0, Result_4^0'=Result_4^post0, x_5^0'=x_5^post0, lt_7^0'=lt_7^post0, ct_11^0'=ct_11^post0, lt_9^0'=lt_9^post0, (0 == 0 /\ lt_8^0-lt_8^post0 == 0 /\ -lt_9^post0+lt_9^0 == 0 /\ ct_19^0-ct_19^post0 == 0 /\ ct_25^0-ct_25^post0 == 0 /\ -Result_4^post0+Result_4^0 == 0 /\ -lt_7^post0+lt_7^0 == 0), cost: 1
   2: l1 -> l3 : ct_25^0'=ct_25^post2, ct_10^0'=ct_10^post2, y_6^0'=y_6^post2, lt_8^0'=lt_8^post2, ct_19^0'=ct_19^post2, Result_4^0'=Result_4^post2, x_5^0'=x_5^post2, lt_7^0'=lt_7^post2, ct_11^0'=ct_11^post2, lt_9^0'=lt_9^post2, (0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ -ct_19^0+lt_7^10 == 0 /\ -ct_25^0+lt_9^110 == 0 /\ ct_25^0-ct_25^post2 == 0 /\ -ct_11^post2+ct_11^0 == 0 /\ ct_10^0-ct_10^post2 == 0 /\ y_6^0-y_6^post2 == 0 /\ lt_8^110-ct_19^0 == 0 /\ x_5^0-x_5^post2 == 0 /\ 1+lt_8^110-lt_9^110 <= 0 /\ ct_19^0-ct_19^post2 == 0), cost: 1
   3: l3 -> l1 : ct_25^0'=ct_25^post3, ct_10^0'=ct_10^post3, y_6^0'=y_6^post3, lt_8^0'=lt_8^post3, ct_19^0'=ct_19^post3, Result_4^0'=Result_4^post3, x_5^0'=x_5^post3, lt_7^0'=lt_7^post3, ct_11^0'=ct_11^post3, lt_9^0'=lt_9^post3, (ct_10^0-ct_10^post3 == 0 /\ Result_4^0-Result_4^post3 == 0 /\ x_5^0-x_5^post3 == 0 /\ ct_25^0-ct_25^post3 == 0 /\ -lt_8^post3+lt_8^0 == 0 /\ -lt_9^post3+lt_9^0 == 0 /\ y_6^0-y_6^post3 == 0 /\ -lt_7^post3+lt_7^0 == 0 /\ -ct_11^post3+ct_11^0 == 0 /\ -ct_19^post3+ct_19^0 == 0), cost: 1
   4: l4 -> l0 : ct_25^0'=ct_25^post4, ct_10^0'=ct_10^post4, y_6^0'=y_6^post4, lt_8^0'=lt_8^post4, ct_19^0'=ct_19^post4, Result_4^0'=Result_4^post4, x_5^0'=x_5^post4, lt_7^0'=lt_7^post4, ct_11^0'=ct_11^post4, lt_9^0'=lt_9^post4, (ct_25^0-ct_25^post4 == 0 /\ ct_10^0-ct_10^post4 == 0 /\ -ct_19^post4+ct_19^0 == 0 /\ -ct_11^post4+ct_11^0 == 0 /\ -lt_9^post4+lt_9^0 == 0 /\ lt_8^0-lt_8^post4 == 0 /\ -y_6^post4+y_6^0 == 0 /\ -lt_7^post4+lt_7^0 == 0 /\ -Result_4^post4+Result_4^0 == 0 /\ -x_5^post4+x_5^0 == 0), cost: 1


Applied preprocessing
Original rule:
l0 -> l1 : ct_25^0'=ct_25^post0, ct_10^0'=ct_10^post0, y_6^0'=y_6^post0, lt_8^0'=lt_8^post0, ct_19^0'=ct_19^post0, Result_4^0'=Result_4^post0, x_5^0'=x_5^post0, lt_7^0'=lt_7^post0, ct_11^0'=ct_11^post0, lt_9^0'=lt_9^post0, (0 == 0 /\ lt_8^0-lt_8^post0 == 0 /\ -lt_9^post0+lt_9^0 == 0 /\ ct_19^0-ct_19^post0 == 0 /\ ct_25^0-ct_25^post0 == 0 /\ -Result_4^post0+Result_4^0 == 0 /\ -lt_7^post0+lt_7^0 == 0), cost: 1
New rule:
l0 -> l1 : ct_10^0'=ct_10^post0, y_6^0'=y_6^post0, x_5^0'=x_5^post0, ct_11^0'=ct_11^post0, 0 == 0, cost: 1

Applied preprocessing
Original rule:
l1 -> l3 : ct_25^0'=ct_25^post2, ct_10^0'=ct_10^post2, y_6^0'=y_6^post2, lt_8^0'=lt_8^post2, ct_19^0'=ct_19^post2, Result_4^0'=Result_4^post2, x_5^0'=x_5^post2, lt_7^0'=lt_7^post2, ct_11^0'=ct_11^post2, lt_9^0'=lt_9^post2, (0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ -ct_19^0+lt_7^10 == 0 /\ -ct_25^0+lt_9^110 == 0 /\ ct_25^0-ct_25^post2 == 0 /\ -ct_11^post2+ct_11^0 == 0 /\ ct_10^0-ct_10^post2 == 0 /\ y_6^0-y_6^post2 == 0 /\ lt_8^110-ct_19^0 == 0 /\ x_5^0-x_5^post2 == 0 /\ 1+lt_8^110-lt_9^110 <= 0 /\ ct_19^0-ct_19^post2 == 0), cost: 1
New rule:
l1 -> l3 : lt_8^0'=lt_8^post2, lt_7^0'=lt_7^post2, lt_9^0'=lt_9^post2, 1-ct_25^0+ct_19^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l3 -> l1 : ct_25^0'=ct_25^post3, ct_10^0'=ct_10^post3, y_6^0'=y_6^post3, lt_8^0'=lt_8^post3, ct_19^0'=ct_19^post3, Result_4^0'=Result_4^post3, x_5^0'=x_5^post3, lt_7^0'=lt_7^post3, ct_11^0'=ct_11^post3, lt_9^0'=lt_9^post3, (ct_10^0-ct_10^post3 == 0 /\ Result_4^0-Result_4^post3 == 0 /\ x_5^0-x_5^post3 == 0 /\ ct_25^0-ct_25^post3 == 0 /\ -lt_8^post3+lt_8^0 == 0 /\ -lt_9^post3+lt_9^0 == 0 /\ y_6^0-y_6^post3 == 0 /\ -lt_7^post3+lt_7^0 == 0 /\ -ct_11^post3+ct_11^0 == 0 /\ -ct_19^post3+ct_19^0 == 0), cost: 1
New rule:
l3 -> l1 : TRUE, cost: 1

Applied preprocessing
Original rule:
l4 -> l0 : ct_25^0'=ct_25^post4, ct_10^0'=ct_10^post4, y_6^0'=y_6^post4, lt_8^0'=lt_8^post4, ct_19^0'=ct_19^post4, Result_4^0'=Result_4^post4, x_5^0'=x_5^post4, lt_7^0'=lt_7^post4, ct_11^0'=ct_11^post4, lt_9^0'=lt_9^post4, (ct_25^0-ct_25^post4 == 0 /\ ct_10^0-ct_10^post4 == 0 /\ -ct_19^post4+ct_19^0 == 0 /\ -ct_11^post4+ct_11^0 == 0 /\ -lt_9^post4+lt_9^0 == 0 /\ lt_8^0-lt_8^post4 == 0 /\ -y_6^post4+y_6^0 == 0 /\ -lt_7^post4+lt_7^0 == 0 /\ -Result_4^post4+Result_4^0 == 0 /\ -x_5^post4+x_5^0 == 0), cost: 1
New rule:
l4 -> l0 : TRUE, cost: 1

Simplified rules
Start location: l4
   5: l0 -> l1 : ct_10^0'=ct_10^post0, y_6^0'=y_6^post0, x_5^0'=x_5^post0, ct_11^0'=ct_11^post0, 0 == 0, cost: 1
   6: l1 -> l3 : lt_8^0'=lt_8^post2, lt_7^0'=lt_7^post2, lt_9^0'=lt_9^post2, 1-ct_25^0+ct_19^0 <= 0, cost: 1
   7: l3 -> l1 : TRUE, cost: 1
   8: l4 -> l0 : TRUE, cost: 1


Eliminating location l0 by chaining:

Applied chaining
First rule:
l4 -> l0 : TRUE, cost: 1
Second rule:
l0 -> l1 : ct_10^0'=ct_10^post0, y_6^0'=y_6^post0, x_5^0'=x_5^post0, ct_11^0'=ct_11^post0, 0 == 0, cost: 1
New rule:
l4 -> l1 : ct_10^0'=ct_10^post0, y_6^0'=y_6^post0, x_5^0'=x_5^post0, ct_11^0'=ct_11^post0, 0 == 0, cost: 2

Applied deletion
Removed the following rules: 5 8

Eliminating location l3 by chaining:

Applied chaining
First rule:
l1 -> l3 : lt_8^0'=lt_8^post2, lt_7^0'=lt_7^post2, lt_9^0'=lt_9^post2, 1-ct_25^0+ct_19^0 <= 0, cost: 1
Second rule:
l3 -> l1 : TRUE, cost: 1
New rule:
l1 -> l1 : lt_8^0'=lt_8^post2, lt_7^0'=lt_7^post2, lt_9^0'=lt_9^post2, 1-ct_25^0+ct_19^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 6 7

Eliminated locations on linear paths
Start location: l4
  10: l1 -> l1 : lt_8^0'=lt_8^post2, lt_7^0'=lt_7^post2, lt_9^0'=lt_9^post2, 1-ct_25^0+ct_19^0 <= 0, cost: 2
   9: l4 -> l1 : ct_10^0'=ct_10^post0, y_6^0'=y_6^post0, x_5^0'=x_5^post0, ct_11^0'=ct_11^post0, 0 == 0, cost: 2


Applied nonterm
Original rule:
l1 -> l1 : lt_8^0'=lt_8^post2, lt_7^0'=lt_7^post2, lt_9^0'=lt_9^post2, 1-ct_25^0+ct_19^0 <= 0, cost: 2
New rule:
l1 -> [5] : (-1+n >= 0 /\ -1+ct_25^0-ct_19^0 >= 0), cost: NONTERM
Sub-proof via acceration calculus written to file:///tmp/tmpnam_LKPhNN.txt

Applied deletion
Removed the following rules: 10

Accelerated simple loops
Start location: l4
  11: l1 -> [5] : (-1+n >= 0 /\ -1+ct_25^0-ct_19^0 >= 0), cost: NONTERM
   9: l4 -> l1 : ct_10^0'=ct_10^post0, y_6^0'=y_6^post0, x_5^0'=x_5^post0, ct_11^0'=ct_11^post0, 0 == 0, cost: 2


Applied chaining
First rule:
l4 -> l1 : ct_10^0'=ct_10^post0, y_6^0'=y_6^post0, x_5^0'=x_5^post0, ct_11^0'=ct_11^post0, 0 == 0, cost: 2
Second rule:
l1 -> [5] : (-1+n >= 0 /\ -1+ct_25^0-ct_19^0 >= 0), cost: NONTERM
New rule:
l4 -> [5] : -1+ct_25^0-ct_19^0 >= 0, cost: NONTERM

Applied deletion
Removed the following rules: 11

Chained accelerated rules with incoming rules
Start location: l4
   9: l4 -> l1 : ct_10^0'=ct_10^post0, y_6^0'=y_6^post0, x_5^0'=x_5^post0, ct_11^0'=ct_11^post0, 0 == 0, cost: 2
  12: l4 -> [5] : -1+ct_25^0-ct_19^0 >= 0, cost: NONTERM


Removed unreachable locations and irrelevant leafs
Start location: l4
  12: l4 -> [5] : -1+ct_25^0-ct_19^0 >= 0, cost: NONTERM


Computing asymptotic complexity
Proved nontermination of rule 12 via SMT.

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

Solved cost: NONTERM
Rule cost:   NONTERM
Rule guard:  -1+ct_25^0-ct_19^0 >= 0