NO

Initial ITS
Start location: l7
   0: l0 -> l1 : tmp_7^0'=tmp_7^post0, y_6^0'=y_6^post0, Result_4^0'=Result_4^post0, x_5^0'=x_5^post0, (0 == 0 /\ y_6^0-y_6^post0 == 0 /\ tmp_7^0-tmp_7^post0 == 0 /\ x_5^0-x_5^post0 == 0 /\ y_6^0-x_5^0 <= 0), cost: 1
   1: l0 -> l2 : tmp_7^0'=tmp_7^post1, y_6^0'=y_6^post1, Result_4^0'=Result_4^post1, x_5^0'=x_5^post1, (0 == 0 /\ Result_4^0-Result_4^post1 == 0 /\ -tmp_7^post1 <= 0 /\ -1-y_6^0+y_6^post1 == 0 /\ tmp_7^post1 <= 0 /\ 1-y_6^0+x_5^0 <= 0 /\ -x_5^post1+x_5^0 == 0), cost: 1
   3: l0 -> l4 : tmp_7^0'=tmp_7^post3, y_6^0'=y_6^post3, Result_4^0'=Result_4^post3, x_5^0'=x_5^post3, (0 == 0 /\ -Result_4^post3+Result_4^0 == 0 /\ -x_5^post3+x_5^0 == 0 /\ -y_6^post3+y_6^0 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 1
   2: l2 -> l0 : tmp_7^0'=tmp_7^post2, y_6^0'=y_6^post2, Result_4^0'=Result_4^post2, x_5^0'=x_5^post2, (-y_6^post2+y_6^0 == 0 /\ tmp_7^0-tmp_7^post2 == 0 /\ -Result_4^post2+Result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1
   4: l4 -> l5 : tmp_7^0'=tmp_7^post4, y_6^0'=y_6^post4, Result_4^0'=Result_4^post4, x_5^0'=x_5^post4, (-Result_4^post4+Result_4^0 == 0 /\ -x_5^post4+x_5^0 == 0 /\ 1+tmp_7^0 <= 0 /\ -y_6^post4+y_6^0 == 0 /\ -tmp_7^post4+tmp_7^0 == 0), cost: 1
   5: l4 -> l5 : tmp_7^0'=tmp_7^post5, y_6^0'=y_6^post5, Result_4^0'=Result_4^post5, x_5^0'=x_5^post5, (y_6^0-y_6^post5 == 0 /\ x_5^0-x_5^post5 == 0 /\ 1-tmp_7^0 <= 0 /\ tmp_7^0-tmp_7^post5 == 0 /\ Result_4^0-Result_4^post5 == 0), cost: 1
   6: l5 -> l3 : tmp_7^0'=tmp_7^post6, y_6^0'=y_6^post6, Result_4^0'=Result_4^post6, x_5^0'=x_5^post6, (tmp_7^0-tmp_7^post6 == 0 /\ -1+x_5^post6-x_5^0 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ y_6^0-y_6^post6 == 0), cost: 1
   7: l3 -> l0 : tmp_7^0'=tmp_7^post7, y_6^0'=y_6^post7, Result_4^0'=Result_4^post7, x_5^0'=x_5^post7, (-x_5^post7+x_5^0 == 0 /\ -Result_4^post7+Result_4^0 == 0 /\ -y_6^post7+y_6^0 == 0 /\ tmp_7^0-tmp_7^post7 == 0), cost: 1
   8: l6 -> l0 : tmp_7^0'=tmp_7^post8, y_6^0'=y_6^post8, Result_4^0'=Result_4^post8, x_5^0'=x_5^post8, (x_5^0-x_5^post8 == 0 /\ -Result_4^post8+Result_4^0 == 0 /\ -tmp_7^post8+tmp_7^0 == 0 /\ y_6^0-y_6^post8 == 0), cost: 1
   9: l7 -> l6 : tmp_7^0'=tmp_7^post9, y_6^0'=y_6^post9, Result_4^0'=Result_4^post9, x_5^0'=x_5^post9, (-x_5^post9+x_5^0 == 0 /\ y_6^0-y_6^post9 == 0 /\ tmp_7^0-tmp_7^post9 == 0 /\ Result_4^0-Result_4^post9 == 0), cost: 1


Removed unreachable rules and leafs
Start location: l7
   1: l0 -> l2 : tmp_7^0'=tmp_7^post1, y_6^0'=y_6^post1, Result_4^0'=Result_4^post1, x_5^0'=x_5^post1, (0 == 0 /\ Result_4^0-Result_4^post1 == 0 /\ -tmp_7^post1 <= 0 /\ -1-y_6^0+y_6^post1 == 0 /\ tmp_7^post1 <= 0 /\ 1-y_6^0+x_5^0 <= 0 /\ -x_5^post1+x_5^0 == 0), cost: 1
   3: l0 -> l4 : tmp_7^0'=tmp_7^post3, y_6^0'=y_6^post3, Result_4^0'=Result_4^post3, x_5^0'=x_5^post3, (0 == 0 /\ -Result_4^post3+Result_4^0 == 0 /\ -x_5^post3+x_5^0 == 0 /\ -y_6^post3+y_6^0 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 1
   2: l2 -> l0 : tmp_7^0'=tmp_7^post2, y_6^0'=y_6^post2, Result_4^0'=Result_4^post2, x_5^0'=x_5^post2, (-y_6^post2+y_6^0 == 0 /\ tmp_7^0-tmp_7^post2 == 0 /\ -Result_4^post2+Result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1
   4: l4 -> l5 : tmp_7^0'=tmp_7^post4, y_6^0'=y_6^post4, Result_4^0'=Result_4^post4, x_5^0'=x_5^post4, (-Result_4^post4+Result_4^0 == 0 /\ -x_5^post4+x_5^0 == 0 /\ 1+tmp_7^0 <= 0 /\ -y_6^post4+y_6^0 == 0 /\ -tmp_7^post4+tmp_7^0 == 0), cost: 1
   5: l4 -> l5 : tmp_7^0'=tmp_7^post5, y_6^0'=y_6^post5, Result_4^0'=Result_4^post5, x_5^0'=x_5^post5, (y_6^0-y_6^post5 == 0 /\ x_5^0-x_5^post5 == 0 /\ 1-tmp_7^0 <= 0 /\ tmp_7^0-tmp_7^post5 == 0 /\ Result_4^0-Result_4^post5 == 0), cost: 1
   6: l5 -> l3 : tmp_7^0'=tmp_7^post6, y_6^0'=y_6^post6, Result_4^0'=Result_4^post6, x_5^0'=x_5^post6, (tmp_7^0-tmp_7^post6 == 0 /\ -1+x_5^post6-x_5^0 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ y_6^0-y_6^post6 == 0), cost: 1
   7: l3 -> l0 : tmp_7^0'=tmp_7^post7, y_6^0'=y_6^post7, Result_4^0'=Result_4^post7, x_5^0'=x_5^post7, (-x_5^post7+x_5^0 == 0 /\ -Result_4^post7+Result_4^0 == 0 /\ -y_6^post7+y_6^0 == 0 /\ tmp_7^0-tmp_7^post7 == 0), cost: 1
   8: l6 -> l0 : tmp_7^0'=tmp_7^post8, y_6^0'=y_6^post8, Result_4^0'=Result_4^post8, x_5^0'=x_5^post8, (x_5^0-x_5^post8 == 0 /\ -Result_4^post8+Result_4^0 == 0 /\ -tmp_7^post8+tmp_7^0 == 0 /\ y_6^0-y_6^post8 == 0), cost: 1
   9: l7 -> l6 : tmp_7^0'=tmp_7^post9, y_6^0'=y_6^post9, Result_4^0'=Result_4^post9, x_5^0'=x_5^post9, (-x_5^post9+x_5^0 == 0 /\ y_6^0-y_6^post9 == 0 /\ tmp_7^0-tmp_7^post9 == 0 /\ Result_4^0-Result_4^post9 == 0), cost: 1


Applied preprocessing
Original rule:
l0 -> l2 : tmp_7^0'=tmp_7^post1, y_6^0'=y_6^post1, Result_4^0'=Result_4^post1, x_5^0'=x_5^post1, (0 == 0 /\ Result_4^0-Result_4^post1 == 0 /\ -tmp_7^post1 <= 0 /\ -1-y_6^0+y_6^post1 == 0 /\ tmp_7^post1 <= 0 /\ 1-y_6^0+x_5^0 <= 0 /\ -x_5^post1+x_5^0 == 0), cost: 1
New rule:
l0 -> l2 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l2 -> l0 : tmp_7^0'=tmp_7^post2, y_6^0'=y_6^post2, Result_4^0'=Result_4^post2, x_5^0'=x_5^post2, (-y_6^post2+y_6^0 == 0 /\ tmp_7^0-tmp_7^post2 == 0 /\ -Result_4^post2+Result_4^0 == 0 /\ -x_5^post2+x_5^0 == 0), cost: 1
New rule:
l2 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l0 -> l4 : tmp_7^0'=tmp_7^post3, y_6^0'=y_6^post3, Result_4^0'=Result_4^post3, x_5^0'=x_5^post3, (0 == 0 /\ -Result_4^post3+Result_4^0 == 0 /\ -x_5^post3+x_5^0 == 0 /\ -y_6^post3+y_6^0 == 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 1
New rule:
l0 -> l4 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l4 -> l5 : tmp_7^0'=tmp_7^post4, y_6^0'=y_6^post4, Result_4^0'=Result_4^post4, x_5^0'=x_5^post4, (-Result_4^post4+Result_4^0 == 0 /\ -x_5^post4+x_5^0 == 0 /\ 1+tmp_7^0 <= 0 /\ -y_6^post4+y_6^0 == 0 /\ -tmp_7^post4+tmp_7^0 == 0), cost: 1
New rule:
l4 -> l5 : 1+tmp_7^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l4 -> l5 : tmp_7^0'=tmp_7^post5, y_6^0'=y_6^post5, Result_4^0'=Result_4^post5, x_5^0'=x_5^post5, (y_6^0-y_6^post5 == 0 /\ x_5^0-x_5^post5 == 0 /\ 1-tmp_7^0 <= 0 /\ tmp_7^0-tmp_7^post5 == 0 /\ Result_4^0-Result_4^post5 == 0), cost: 1
New rule:
l4 -> l5 : -1+tmp_7^0 >= 0, cost: 1

Applied preprocessing
Original rule:
l5 -> l3 : tmp_7^0'=tmp_7^post6, y_6^0'=y_6^post6, Result_4^0'=Result_4^post6, x_5^0'=x_5^post6, (tmp_7^0-tmp_7^post6 == 0 /\ -1+x_5^post6-x_5^0 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ y_6^0-y_6^post6 == 0), cost: 1
New rule:
l5 -> l3 : x_5^0'=1+x_5^0, TRUE, cost: 1

Applied preprocessing
Original rule:
l3 -> l0 : tmp_7^0'=tmp_7^post7, y_6^0'=y_6^post7, Result_4^0'=Result_4^post7, x_5^0'=x_5^post7, (-x_5^post7+x_5^0 == 0 /\ -Result_4^post7+Result_4^0 == 0 /\ -y_6^post7+y_6^0 == 0 /\ tmp_7^0-tmp_7^post7 == 0), cost: 1
New rule:
l3 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l6 -> l0 : tmp_7^0'=tmp_7^post8, y_6^0'=y_6^post8, Result_4^0'=Result_4^post8, x_5^0'=x_5^post8, (x_5^0-x_5^post8 == 0 /\ -Result_4^post8+Result_4^0 == 0 /\ -tmp_7^post8+tmp_7^0 == 0 /\ y_6^0-y_6^post8 == 0), cost: 1
New rule:
l6 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l7 -> l6 : tmp_7^0'=tmp_7^post9, y_6^0'=y_6^post9, Result_4^0'=Result_4^post9, x_5^0'=x_5^post9, (-x_5^post9+x_5^0 == 0 /\ y_6^0-y_6^post9 == 0 /\ tmp_7^0-tmp_7^post9 == 0 /\ Result_4^0-Result_4^post9 == 0), cost: 1
New rule:
l7 -> l6 : TRUE, cost: 1

Simplified rules
Start location: l7
  10: l0 -> l2 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 1
  12: l0 -> l4 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 1
  11: l2 -> l0 : TRUE, cost: 1
  13: l4 -> l5 : 1+tmp_7^0 <= 0, cost: 1
  14: l4 -> l5 : -1+tmp_7^0 >= 0, cost: 1
  15: l5 -> l3 : x_5^0'=1+x_5^0, TRUE, cost: 1
  16: l3 -> l0 : TRUE, cost: 1
  17: l6 -> l0 : TRUE, cost: 1
  18: l7 -> l6 : TRUE, cost: 1


Eliminating location l6 by chaining:

Applied chaining
First rule:
l7 -> l6 : TRUE, cost: 1
Second rule:
l6 -> l0 : TRUE, cost: 1
New rule:
l7 -> l0 : TRUE, cost: 2

Applied deletion
Removed the following rules: 17 18

Eliminating location l2 by chaining:

Applied chaining
First rule:
l0 -> l2 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 1
Second rule:
l2 -> l0 : TRUE, cost: 1
New rule:
l0 -> l0 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 10 11

Eliminating location l3 by chaining:

Applied chaining
First rule:
l5 -> l3 : x_5^0'=1+x_5^0, TRUE, cost: 1
Second rule:
l3 -> l0 : TRUE, cost: 1
New rule:
l5 -> l0 : x_5^0'=1+x_5^0, TRUE, cost: 2

Applied deletion
Removed the following rules: 15 16

Eliminated locations on linear paths
Start location: l7
  12: l0 -> l4 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 1
  20: l0 -> l0 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 2
  13: l4 -> l5 : 1+tmp_7^0 <= 0, cost: 1
  14: l4 -> l5 : -1+tmp_7^0 >= 0, cost: 1
  21: l5 -> l0 : x_5^0'=1+x_5^0, TRUE, cost: 2
  19: l7 -> l0 : TRUE, cost: 2


Applied nonterm
Original rule:
l0 -> l0 : tmp_7^0'=0, y_6^0'=1+y_6^0, 1-y_6^0+x_5^0 <= 0, cost: 2
New rule:
l0 -> [8] : (-1+n >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: NONTERM
Sub-proof via acceration calculus written to file:///tmp/tmpnam_PAdDgD.txt

Applied deletion
Removed the following rules: 20

Accelerated simple loops
Start location: l7
  12: l0 -> l4 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 1
  22: l0 -> [8] : (-1+n >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: NONTERM
  13: l4 -> l5 : 1+tmp_7^0 <= 0, cost: 1
  14: l4 -> l5 : -1+tmp_7^0 >= 0, cost: 1
  21: l5 -> l0 : x_5^0'=1+x_5^0, TRUE, cost: 2
  19: l7 -> l0 : TRUE, cost: 2


Applied chaining
First rule:
l7 -> l0 : TRUE, cost: 2
Second rule:
l0 -> [8] : (-1+n >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: NONTERM
New rule:
l7 -> [8] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM

Applied chaining
First rule:
l5 -> l0 : x_5^0'=1+x_5^0, TRUE, cost: 2
Second rule:
l0 -> [8] : (-1+n >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: NONTERM
New rule:
l5 -> [8] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM

Applied deletion
Removed the following rules: 22

Chained accelerated rules with incoming rules
Start location: l7
  12: l0 -> l4 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 1
  13: l4 -> l5 : 1+tmp_7^0 <= 0, cost: 1
  14: l4 -> l5 : -1+tmp_7^0 >= 0, cost: 1
  21: l5 -> l0 : x_5^0'=1+x_5^0, TRUE, cost: 2
  24: l5 -> [8] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM
  19: l7 -> l0 : TRUE, cost: 2
  23: l7 -> [8] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM


Eliminating location l4 by chaining:

Applied chaining
First rule:
l0 -> l4 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 1
Second rule:
l4 -> l5 : 1+tmp_7^0 <= 0, cost: 1
New rule:
l0 -> l5 : tmp_7^0'=tmp_7^post3, (1+tmp_7^post3 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2

Applied chaining
First rule:
l0 -> l4 : tmp_7^0'=tmp_7^post3, 1-y_6^0+x_5^0 <= 0, cost: 1
Second rule:
l4 -> l5 : -1+tmp_7^0 >= 0, cost: 1
New rule:
l0 -> l5 : tmp_7^0'=tmp_7^post3, (-1+tmp_7^post3 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2

Applied deletion
Removed the following rules: 12 13 14

Eliminated locations on tree-shaped paths
Start location: l7
  25: l0 -> l5 : tmp_7^0'=tmp_7^post3, (1+tmp_7^post3 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2
  26: l0 -> l5 : tmp_7^0'=tmp_7^post3, (-1+tmp_7^post3 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2
  21: l5 -> l0 : x_5^0'=1+x_5^0, TRUE, cost: 2
  24: l5 -> [8] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM
  19: l7 -> l0 : TRUE, cost: 2
  23: l7 -> [8] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM


Eliminating location l5 by chaining:

Applied chaining
First rule:
l0 -> l5 : tmp_7^0'=tmp_7^post3, (1+tmp_7^post3 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2
Second rule:
l5 -> l0 : x_5^0'=1+x_5^0, TRUE, cost: 2
New rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=1+x_5^0, (1+tmp_7^post3 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4

Applied chaining
First rule:
l0 -> l5 : tmp_7^0'=tmp_7^post3, (1+tmp_7^post3 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2
Second rule:
l5 -> [8] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM
New rule:
l0 -> [8] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM

Applied simplification
Original rule:
l0 -> [8] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM
New rule:
l0 -> [8] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0), cost: NONTERM

Applied chaining
First rule:
l0 -> l5 : tmp_7^0'=tmp_7^post3, (-1+tmp_7^post3 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2
Second rule:
l5 -> l0 : x_5^0'=1+x_5^0, TRUE, cost: 2
New rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=1+x_5^0, (-1+tmp_7^post3 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4

Applied chaining
First rule:
l0 -> l5 : tmp_7^0'=tmp_7^post3, (-1+tmp_7^post3 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 2
Second rule:
l5 -> [8] : -2+y_6^0-x_5^0 >= 0, cost: NONTERM
New rule:
l0 -> [8] : (-1+tmp_7^post3 >= 0 /\ -2+y_6^0-x_5^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM

Applied simplification
Original rule:
l0 -> [8] : (-1+tmp_7^post3 >= 0 /\ -2+y_6^0-x_5^0 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: NONTERM
New rule:
l0 -> [8] : (-1+tmp_7^post3 >= 0 /\ -2+y_6^0-x_5^0 >= 0), cost: NONTERM

Applied deletion
Removed the following rules: 21 24 25 26

Eliminated locations on tree-shaped paths
Start location: l7
  27: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=1+x_5^0, (1+tmp_7^post3 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4
  28: l0 -> [8] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0), cost: NONTERM
  29: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=1+x_5^0, (-1+tmp_7^post3 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4
  30: l0 -> [8] : (-1+tmp_7^post3 >= 0 /\ -2+y_6^0-x_5^0 >= 0), cost: NONTERM
  19: l7 -> l0 : TRUE, cost: 2
  23: l7 -> [8] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM


Applied acceleration
Original rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=1+x_5^0, (1+tmp_7^post3 <= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4
New rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=n0+x_5^0, (-n0+y_6^0-x_5^0 >= 0 /\ -1+n0 >= 0 /\ -1-tmp_7^post3 >= 0), cost: 4*n0
Sub-proof via acceration calculus written to file:///tmp/tmpnam_CPlcJd.txt

Applied instantiation
Original rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=n0+x_5^0, (-n0+y_6^0-x_5^0 >= 0 /\ -1+n0 >= 0 /\ -1-tmp_7^post3 >= 0), cost: 4*n0
New rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (0 >= 0 /\ -1+y_6^0-x_5^0 >= 0 /\ -1-tmp_7^post3 >= 0), cost: 4*y_6^0-4*x_5^0

Applied acceleration
Original rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=1+x_5^0, (-1+tmp_7^post3 >= 0 /\ 1-y_6^0+x_5^0 <= 0), cost: 4
New rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=n1+x_5^0, (y_6^0-n1-x_5^0 >= 0 /\ -1+tmp_7^post3 >= 0 /\ -1+n1 >= 0), cost: 4*n1
Sub-proof via acceration calculus written to file:///tmp/tmpnam_ONpnLl.txt

Applied instantiation
Original rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=n1+x_5^0, (y_6^0-n1-x_5^0 >= 0 /\ -1+tmp_7^post3 >= 0 /\ -1+n1 >= 0), cost: 4*n1
New rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (0 >= 0 /\ -1+tmp_7^post3 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 4*y_6^0-4*x_5^0

Applied simplification
Original rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (0 >= 0 /\ -1+y_6^0-x_5^0 >= 0 /\ -1-tmp_7^post3 >= 0), cost: 4*y_6^0-4*x_5^0
New rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0), cost: 4*y_6^0-4*x_5^0

Applied simplification
Original rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (0 >= 0 /\ -1+tmp_7^post3 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 4*y_6^0-4*x_5^0
New rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (-1+tmp_7^post3 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 4*y_6^0-4*x_5^0

Applied deletion
Removed the following rules: 27 29

Accelerated simple loops
Start location: l7
  28: l0 -> [8] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0), cost: NONTERM
  30: l0 -> [8] : (-1+tmp_7^post3 >= 0 /\ -2+y_6^0-x_5^0 >= 0), cost: NONTERM
  33: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0), cost: 4*y_6^0-4*x_5^0
  34: l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (-1+tmp_7^post3 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 4*y_6^0-4*x_5^0
  19: l7 -> l0 : TRUE, cost: 2
  23: l7 -> [8] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM


Applied chaining
First rule:
l7 -> l0 : TRUE, cost: 2
Second rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0), cost: 4*y_6^0-4*x_5^0
New rule:
l7 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0), cost: 2+4*y_6^0-4*x_5^0

Applied chaining
First rule:
l7 -> l0 : TRUE, cost: 2
Second rule:
l0 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (-1+tmp_7^post3 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 4*y_6^0-4*x_5^0
New rule:
l7 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (-1+tmp_7^post3 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 2+4*y_6^0-4*x_5^0

Applied deletion
Removed the following rules: 33 34

Chained accelerated rules with incoming rules
Start location: l7
  28: l0 -> [8] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0), cost: NONTERM
  30: l0 -> [8] : (-1+tmp_7^post3 >= 0 /\ -2+y_6^0-x_5^0 >= 0), cost: NONTERM
  19: l7 -> l0 : TRUE, cost: 2
  23: l7 -> [8] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM
  35: l7 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0), cost: 2+4*y_6^0-4*x_5^0
  36: l7 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (-1+tmp_7^post3 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 2+4*y_6^0-4*x_5^0


Eliminating location l0 by chaining:

Applied chaining
First rule:
l7 -> l0 : TRUE, cost: 2
Second rule:
l0 -> [8] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0), cost: NONTERM
New rule:
l7 -> [8] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0), cost: NONTERM

Applied chaining
First rule:
l7 -> l0 : TRUE, cost: 2
Second rule:
l0 -> [8] : (-1+tmp_7^post3 >= 0 /\ -2+y_6^0-x_5^0 >= 0), cost: NONTERM
New rule:
l7 -> [8] : (-1+tmp_7^post3 >= 0 /\ -2+y_6^0-x_5^0 >= 0), cost: NONTERM

Applied partial deletion
Original rule:
l7 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0), cost: 2+4*y_6^0-4*x_5^0
New rule:
l7 -> [10] : (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0), cost: 2+4*y_6^0-4*x_5^0

Applied partial deletion
Original rule:
l7 -> l0 : tmp_7^0'=tmp_7^post3, x_5^0'=y_6^0, (-1+tmp_7^post3 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 2+4*y_6^0-4*x_5^0
New rule:
l7 -> [10] : (-1+tmp_7^post3 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 2+4*y_6^0-4*x_5^0

Applied deletion
Removed the following rules: 19 28 30 35 36

Eliminated locations on tree-shaped paths
Start location: l7
  23: l7 -> [8] : -1+y_6^0-x_5^0 >= 0, cost: NONTERM
  37: l7 -> [8] : (-2+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0), cost: NONTERM
  38: l7 -> [8] : (-1+tmp_7^post3 >= 0 /\ -2+y_6^0-x_5^0 >= 0), cost: NONTERM
  39: l7 -> [10] : (-1+y_6^0-x_5^0 >= 0 /\ 1+tmp_7^post3 <= 0), cost: 2+4*y_6^0-4*x_5^0
  40: l7 -> [10] : (-1+tmp_7^post3 >= 0 /\ -1+y_6^0-x_5^0 >= 0), cost: 2+4*y_6^0-4*x_5^0


Computing asymptotic complexity
Proved nontermination of rule 23 via SMT.

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

Solved cost: NONTERM
Rule cost:   NONTERM
Rule guard:  -1+y_6^0-x_5^0 >= 0