NO

Initial ITS
Start location: l6
   0: l0 -> l1 : i^0'=i^post0, temp^0'=temp^post0, __const_10^0'=__const_10^post0, j^0'=j^post0, (temp^0-temp^post0 == 0 /\ i^0-i^post0 == 0 /\ j^0-j^post0 == 0 /\ __const_10^0-__const_10^post0 == 0), cost: 1
   4: l1 -> l4 : i^0'=i^post4, temp^0'=temp^post4, __const_10^0'=__const_10^post4, j^0'=j^post4, (-__const_10^post4+__const_10^0 == 0 /\ -j^post4+j^0 == 0 /\ -temp^post4+temp^0 == 0 /\ 1-i^0+__const_10^0 <= 0 /\ -i^post4+i^0 == 0), cost: 1
   5: l1 -> l2 : i^0'=i^post5, temp^0'=temp^post5, __const_10^0'=__const_10^post5, j^0'=j^post5, (temp^0-temp^post5 == 0 /\ i^0-__const_10^0 <= 0 /\ -i^0+j^post5 == 0 /\ i^0-i^post5 == 0 /\ __const_10^0-__const_10^post5 == 0), cost: 1
   1: l2 -> l3 : i^0'=i^post1, temp^0'=temp^post1, __const_10^0'=__const_10^post1, j^0'=j^post1, (__const_10^0-__const_10^post1 == 0 /\ temp^0-temp^post1 == 0 /\ i^0-i^post1 == 0 /\ -j^post1+j^0 == 0), cost: 1
   2: l3 -> l2 : i^0'=i^post2, temp^0'=temp^post2, __const_10^0'=__const_10^post2, j^0'=j^post2, (0 == 0 /\ i^0-i^post2 == 0 /\ -__const_10^post2+__const_10^0 == 0 /\ 1+j^post2-j^0 == 0), cost: 1
   3: l3 -> l0 : i^0'=i^post3, temp^0'=temp^post3, __const_10^0'=__const_10^post3, j^0'=j^post3, (-__const_10^post3+__const_10^0 == 0 /\ -1-i^0+i^post3 == 0 /\ -j^post3+j^0 == 0 /\ -temp^post3+temp^0 == 0), cost: 1
   6: l5 -> l0 : i^0'=i^post6, temp^0'=temp^post6, __const_10^0'=__const_10^post6, j^0'=j^post6, (-2+i^post6 == 0 /\ __const_10^0-__const_10^post6 == 0 /\ temp^0-temp^post6 == 0 /\ -j^post6+j^0 == 0), cost: 1
   7: l6 -> l5 : i^0'=i^post7, temp^0'=temp^post7, __const_10^0'=__const_10^post7, j^0'=j^post7, (-j^post7+j^0 == 0 /\ -__const_10^post7+__const_10^0 == 0 /\ -temp^post7+temp^0 == 0 /\ i^0-i^post7 == 0), cost: 1


Removed unreachable rules and leafs
Start location: l6
   0: l0 -> l1 : i^0'=i^post0, temp^0'=temp^post0, __const_10^0'=__const_10^post0, j^0'=j^post0, (temp^0-temp^post0 == 0 /\ i^0-i^post0 == 0 /\ j^0-j^post0 == 0 /\ __const_10^0-__const_10^post0 == 0), cost: 1
   5: l1 -> l2 : i^0'=i^post5, temp^0'=temp^post5, __const_10^0'=__const_10^post5, j^0'=j^post5, (temp^0-temp^post5 == 0 /\ i^0-__const_10^0 <= 0 /\ -i^0+j^post5 == 0 /\ i^0-i^post5 == 0 /\ __const_10^0-__const_10^post5 == 0), cost: 1
   1: l2 -> l3 : i^0'=i^post1, temp^0'=temp^post1, __const_10^0'=__const_10^post1, j^0'=j^post1, (__const_10^0-__const_10^post1 == 0 /\ temp^0-temp^post1 == 0 /\ i^0-i^post1 == 0 /\ -j^post1+j^0 == 0), cost: 1
   2: l3 -> l2 : i^0'=i^post2, temp^0'=temp^post2, __const_10^0'=__const_10^post2, j^0'=j^post2, (0 == 0 /\ i^0-i^post2 == 0 /\ -__const_10^post2+__const_10^0 == 0 /\ 1+j^post2-j^0 == 0), cost: 1
   3: l3 -> l0 : i^0'=i^post3, temp^0'=temp^post3, __const_10^0'=__const_10^post3, j^0'=j^post3, (-__const_10^post3+__const_10^0 == 0 /\ -1-i^0+i^post3 == 0 /\ -j^post3+j^0 == 0 /\ -temp^post3+temp^0 == 0), cost: 1
   6: l5 -> l0 : i^0'=i^post6, temp^0'=temp^post6, __const_10^0'=__const_10^post6, j^0'=j^post6, (-2+i^post6 == 0 /\ __const_10^0-__const_10^post6 == 0 /\ temp^0-temp^post6 == 0 /\ -j^post6+j^0 == 0), cost: 1
   7: l6 -> l5 : i^0'=i^post7, temp^0'=temp^post7, __const_10^0'=__const_10^post7, j^0'=j^post7, (-j^post7+j^0 == 0 /\ -__const_10^post7+__const_10^0 == 0 /\ -temp^post7+temp^0 == 0 /\ i^0-i^post7 == 0), cost: 1


Applied preprocessing
Original rule:
l0 -> l1 : i^0'=i^post0, temp^0'=temp^post0, __const_10^0'=__const_10^post0, j^0'=j^post0, (temp^0-temp^post0 == 0 /\ i^0-i^post0 == 0 /\ j^0-j^post0 == 0 /\ __const_10^0-__const_10^post0 == 0), cost: 1
New rule:
l0 -> l1 : TRUE, cost: 1

Applied preprocessing
Original rule:
l2 -> l3 : i^0'=i^post1, temp^0'=temp^post1, __const_10^0'=__const_10^post1, j^0'=j^post1, (__const_10^0-__const_10^post1 == 0 /\ temp^0-temp^post1 == 0 /\ i^0-i^post1 == 0 /\ -j^post1+j^0 == 0), cost: 1
New rule:
l2 -> l3 : TRUE, cost: 1

Applied preprocessing
Original rule:
l3 -> l2 : i^0'=i^post2, temp^0'=temp^post2, __const_10^0'=__const_10^post2, j^0'=j^post2, (0 == 0 /\ i^0-i^post2 == 0 /\ -__const_10^post2+__const_10^0 == 0 /\ 1+j^post2-j^0 == 0), cost: 1
New rule:
l3 -> l2 : temp^0'=temp^post2, j^0'=-1+j^0, 0 == 0, cost: 1

Applied preprocessing
Original rule:
l3 -> l0 : i^0'=i^post3, temp^0'=temp^post3, __const_10^0'=__const_10^post3, j^0'=j^post3, (-__const_10^post3+__const_10^0 == 0 /\ -1-i^0+i^post3 == 0 /\ -j^post3+j^0 == 0 /\ -temp^post3+temp^0 == 0), cost: 1
New rule:
l3 -> l0 : i^0'=1+i^0, TRUE, cost: 1

Applied preprocessing
Original rule:
l1 -> l2 : i^0'=i^post5, temp^0'=temp^post5, __const_10^0'=__const_10^post5, j^0'=j^post5, (temp^0-temp^post5 == 0 /\ i^0-__const_10^0 <= 0 /\ -i^0+j^post5 == 0 /\ i^0-i^post5 == 0 /\ __const_10^0-__const_10^post5 == 0), cost: 1
New rule:
l1 -> l2 : j^0'=i^0, i^0-__const_10^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l5 -> l0 : i^0'=i^post6, temp^0'=temp^post6, __const_10^0'=__const_10^post6, j^0'=j^post6, (-2+i^post6 == 0 /\ __const_10^0-__const_10^post6 == 0 /\ temp^0-temp^post6 == 0 /\ -j^post6+j^0 == 0), cost: 1
New rule:
l5 -> l0 : i^0'=2, TRUE, cost: 1

Applied preprocessing
Original rule:
l6 -> l5 : i^0'=i^post7, temp^0'=temp^post7, __const_10^0'=__const_10^post7, j^0'=j^post7, (-j^post7+j^0 == 0 /\ -__const_10^post7+__const_10^0 == 0 /\ -temp^post7+temp^0 == 0 /\ i^0-i^post7 == 0), cost: 1
New rule:
l6 -> l5 : TRUE, cost: 1

Simplified rules
Start location: l6
   8: l0 -> l1 : TRUE, cost: 1
  12: l1 -> l2 : j^0'=i^0, i^0-__const_10^0 <= 0, cost: 1
   9: l2 -> l3 : TRUE, cost: 1
  10: l3 -> l2 : temp^0'=temp^post2, j^0'=-1+j^0, 0 == 0, cost: 1
  11: l3 -> l0 : i^0'=1+i^0, TRUE, cost: 1
  13: l5 -> l0 : i^0'=2, TRUE, cost: 1
  14: l6 -> l5 : TRUE, cost: 1


Eliminating location l5 by chaining:

Applied chaining
First rule:
l6 -> l5 : TRUE, cost: 1
Second rule:
l5 -> l0 : i^0'=2, TRUE, cost: 1
New rule:
l6 -> l0 : i^0'=2, TRUE, cost: 2

Applied deletion
Removed the following rules: 13 14

Eliminating location l1 by chaining:

Applied chaining
First rule:
l0 -> l1 : TRUE, cost: 1
Second rule:
l1 -> l2 : j^0'=i^0, i^0-__const_10^0 <= 0, cost: 1
New rule:
l0 -> l2 : j^0'=i^0, i^0-__const_10^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 8 12

Eliminated locations on linear paths
Start location: l6
  16: l0 -> l2 : j^0'=i^0, i^0-__const_10^0 <= 0, cost: 2
   9: l2 -> l3 : TRUE, cost: 1
  10: l3 -> l2 : temp^0'=temp^post2, j^0'=-1+j^0, 0 == 0, cost: 1
  11: l3 -> l0 : i^0'=1+i^0, TRUE, cost: 1
  15: l6 -> l0 : i^0'=2, TRUE, cost: 2


Eliminating location l3 by chaining:

Applied chaining
First rule:
l2 -> l3 : TRUE, cost: 1
Second rule:
l3 -> l2 : temp^0'=temp^post2, j^0'=-1+j^0, 0 == 0, cost: 1
New rule:
l2 -> l2 : temp^0'=temp^post2, j^0'=-1+j^0, 0 == 0, cost: 2

Applied chaining
First rule:
l2 -> l3 : TRUE, cost: 1
Second rule:
l3 -> l0 : i^0'=1+i^0, TRUE, cost: 1
New rule:
l2 -> l0 : i^0'=1+i^0, TRUE, cost: 2

Applied deletion
Removed the following rules: 9 10 11

Eliminated locations on tree-shaped paths
Start location: l6
  16: l0 -> l2 : j^0'=i^0, i^0-__const_10^0 <= 0, cost: 2
  17: l2 -> l2 : temp^0'=temp^post2, j^0'=-1+j^0, 0 == 0, cost: 2
  18: l2 -> l0 : i^0'=1+i^0, TRUE, cost: 2
  15: l6 -> l0 : i^0'=2, TRUE, cost: 2


Applied nonterm
Original rule:
l2 -> l2 : temp^0'=temp^post2, j^0'=-1+j^0, 0 == 0, cost: 2
New rule:
l2 -> [7] : (0 >= 0 /\ -1+n >= 0), cost: NONTERM
Sub-proof via acceration calculus written to file:///tmp/tmpnam_BgFeNc.txt

Applied simplification
Original rule:
l2 -> [7] : (0 >= 0 /\ -1+n >= 0), cost: NONTERM
New rule:
l2 -> [7] : -1+n >= 0, cost: NONTERM

Applied deletion
Removed the following rules: 17

Accelerated simple loops
Start location: l6
  16: l0 -> l2 : j^0'=i^0, i^0-__const_10^0 <= 0, cost: 2
  18: l2 -> l0 : i^0'=1+i^0, TRUE, cost: 2
  20: l2 -> [7] : -1+n >= 0, cost: NONTERM
  15: l6 -> l0 : i^0'=2, TRUE, cost: 2


Applied chaining
First rule:
l0 -> l2 : j^0'=i^0, i^0-__const_10^0 <= 0, cost: 2
Second rule:
l2 -> [7] : -1+n >= 0, cost: NONTERM
New rule:
l0 -> [7] : i^0-__const_10^0 <= 0, cost: NONTERM

Applied deletion
Removed the following rules: 20

Chained accelerated rules with incoming rules
Start location: l6
  16: l0 -> l2 : j^0'=i^0, i^0-__const_10^0 <= 0, cost: 2
  21: l0 -> [7] : i^0-__const_10^0 <= 0, cost: NONTERM
  18: l2 -> l0 : i^0'=1+i^0, TRUE, cost: 2
  15: l6 -> l0 : i^0'=2, TRUE, cost: 2


Eliminating location l2 by chaining:

Applied chaining
First rule:
l0 -> l2 : j^0'=i^0, i^0-__const_10^0 <= 0, cost: 2
Second rule:
l2 -> l0 : i^0'=1+i^0, TRUE, cost: 2
New rule:
l0 -> l0 : i^0'=1+i^0, j^0'=i^0, i^0-__const_10^0 <= 0, cost: 4

Applied deletion
Removed the following rules: 16 18

Eliminated locations on linear paths
Start location: l6
  21: l0 -> [7] : i^0-__const_10^0 <= 0, cost: NONTERM
  22: l0 -> l0 : i^0'=1+i^0, j^0'=i^0, i^0-__const_10^0 <= 0, cost: 4
  15: l6 -> l0 : i^0'=2, TRUE, cost: 2


Applied acceleration
Original rule:
l0 -> l0 : i^0'=1+i^0, j^0'=i^0, i^0-__const_10^0 <= 0, cost: 4
New rule:
l0 -> l0 : i^0'=i^0+n0, j^0'=-1+i^0+n0, (-1+n0 >= 0 /\ 1-i^0-n0+__const_10^0 >= 0), cost: 4*n0
Sub-proof via acceration calculus written to file:///tmp/tmpnam_bNjnml.txt

Applied instantiation
Original rule:
l0 -> l0 : i^0'=i^0+n0, j^0'=-1+i^0+n0, (-1+n0 >= 0 /\ 1-i^0-n0+__const_10^0 >= 0), cost: 4*n0
New rule:
l0 -> l0 : i^0'=1+__const_10^0, j^0'=__const_10^0, (0 >= 0 /\ -i^0+__const_10^0 >= 0), cost: 4-4*i^0+4*__const_10^0

Applied simplification
Original rule:
l0 -> l0 : i^0'=1+__const_10^0, j^0'=__const_10^0, (0 >= 0 /\ -i^0+__const_10^0 >= 0), cost: 4-4*i^0+4*__const_10^0
New rule:
l0 -> l0 : i^0'=1+__const_10^0, j^0'=__const_10^0, -i^0+__const_10^0 >= 0, cost: 4-4*i^0+4*__const_10^0

Applied deletion
Removed the following rules: 22

Accelerated simple loops
Start location: l6
  21: l0 -> [7] : i^0-__const_10^0 <= 0, cost: NONTERM
  24: l0 -> l0 : i^0'=1+__const_10^0, j^0'=__const_10^0, -i^0+__const_10^0 >= 0, cost: 4-4*i^0+4*__const_10^0
  15: l6 -> l0 : i^0'=2, TRUE, cost: 2


Applied chaining
First rule:
l6 -> l0 : i^0'=2, TRUE, cost: 2
Second rule:
l0 -> l0 : i^0'=1+__const_10^0, j^0'=__const_10^0, -i^0+__const_10^0 >= 0, cost: 4-4*i^0+4*__const_10^0
New rule:
l6 -> l0 : i^0'=1+__const_10^0, j^0'=__const_10^0, -2+__const_10^0 >= 0, cost: -2+4*__const_10^0

Applied deletion
Removed the following rules: 24

Chained accelerated rules with incoming rules
Start location: l6
  21: l0 -> [7] : i^0-__const_10^0 <= 0, cost: NONTERM
  15: l6 -> l0 : i^0'=2, TRUE, cost: 2
  25: l6 -> l0 : i^0'=1+__const_10^0, j^0'=__const_10^0, -2+__const_10^0 >= 0, cost: -2+4*__const_10^0


Eliminating location l0 by chaining:

Applied chaining
First rule:
l6 -> l0 : i^0'=2, TRUE, cost: 2
Second rule:
l0 -> [7] : i^0-__const_10^0 <= 0, cost: NONTERM
New rule:
l6 -> [7] : 2-__const_10^0 <= 0, cost: NONTERM

Applied simplification
Original rule:
l6 -> [7] : 2-__const_10^0 <= 0, cost: NONTERM
New rule:
l6 -> [7] : -2+__const_10^0 >= 0, cost: NONTERM

Applied partial deletion
Original rule:
l6 -> l0 : i^0'=1+__const_10^0, j^0'=__const_10^0, -2+__const_10^0 >= 0, cost: -2+4*__const_10^0
New rule:
l6 -> [9] : -2+__const_10^0 >= 0, cost: -2+4*__const_10^0

Applied deletion
Removed the following rules: 15 21 25

Eliminated locations on tree-shaped paths
Start location: l6
  26: l6 -> [7] : -2+__const_10^0 >= 0, cost: NONTERM
  27: l6 -> [9] : -2+__const_10^0 >= 0, cost: -2+4*__const_10^0


Computing asymptotic complexity
Proved nontermination of rule 26 via SMT.

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

Solved cost: NONTERM
Rule cost:   NONTERM
Rule guard:  -2+__const_10^0 >= 0