WORST_CASE(Omega(0),?)

Initial ITS
Start location: l6
   0: l0 -> l1 : x0^0'=x0^post0, oldX1^0'=oldX1^post0, oldX3^0'=oldX3^post0, oldX0^0'=oldX0^post0, x1^0'=x1^post0, oldX2^0'=oldX2^post0, (0 == 0 /\ -x0^0+oldX0^post0 == 0 /\ -oldX2^post0+x0^post0 == 0 /\ oldX1^post0-x1^0 == 0 /\ -oldX3^post0+x1^post0 == 0), cost: 1
   1: l0 -> l2 : x0^0'=x0^post1, oldX1^0'=oldX1^post1, oldX3^0'=oldX3^post1, oldX0^0'=oldX0^post1, x1^0'=x1^post1, oldX2^0'=oldX2^post1, (1-oldX1^post1+x1^post1 == 0 /\ -oldX2^post1+oldX2^0 == 0 /\ oldX3^0-oldX3^post1 == 0 /\ 1+x0^post1-oldX0^post1 == 0 /\ -x0^0+oldX0^post1 == 0 /\ oldX1^post1-x1^0 == 0), cost: 1
   8: l2 -> l4 : x0^0'=x0^post8, oldX1^0'=oldX1^post8, oldX3^0'=oldX3^post8, oldX0^0'=oldX0^post8, x1^0'=x1^post8, oldX2^0'=oldX2^post8, (oldX1^post8-x1^0 == 0 /\ -oldX2^post8+oldX2^0 == 0 /\ oldX3^0-oldX3^post8 == 0 /\ -x0^0+oldX0^post8 == 0 /\ x1^post8-oldX1^post8 == 0 /\ -oldX0^post8+x0^post8 == 0), cost: 1
   2: l3 -> l1 : x0^0'=x0^post2, oldX1^0'=oldX1^post2, oldX3^0'=oldX3^post2, oldX0^0'=oldX0^post2, x1^0'=x1^post2, oldX2^0'=oldX2^post2, (0 == 0 /\ -x0^0+oldX0^post2 == 0 /\ -oldX0^post2 <= 0 /\ oldX1^post2-x1^0 == 0 /\ -oldX2^post2+x0^post2 == 0 /\ x1^post2-oldX3^post2 == 0 /\ oldX0^post2 <= 0), cost: 1
   3: l3 -> l1 : x0^0'=x0^post3, oldX1^0'=oldX1^post3, oldX3^0'=oldX3^post3, oldX0^0'=oldX0^post3, x1^0'=x1^post3, oldX2^0'=oldX2^post3, (0 == 0 /\ oldX1^post3-x1^0 == 0 /\ 1-oldX0^post3 <= 0 /\ -oldX2^post3+x0^post3 == 0 /\ -x0^0+oldX0^post3 == 0 /\ x1^post3-oldX3^post3 == 0), cost: 1
   4: l3 -> l1 : x0^0'=x0^post4, oldX1^0'=oldX1^post4, oldX3^0'=oldX3^post4, oldX0^0'=oldX0^post4, x1^0'=x1^post4, oldX2^0'=oldX2^post4, (0 == 0 /\ -oldX2^post4+x0^post4 == 0 /\ -x0^0+oldX0^post4 == 0 /\ 1+oldX0^post4 <= 0 /\ x1^post4-oldX3^post4 == 0 /\ oldX1^post4-x1^0 == 0), cost: 1
   5: l4 -> l0 : x0^0'=x0^post5, oldX1^0'=oldX1^post5, oldX3^0'=oldX3^post5, oldX0^0'=oldX0^post5, x1^0'=x1^post5, oldX2^0'=oldX2^post5, (1-oldX1^post5 <= 0 /\ -oldX2^post5+oldX2^0 == 0 /\ -oldX3^post5+oldX3^0 == 0 /\ x0^post5-oldX0^post5 == 0 /\ -x1^0+oldX1^post5 == 0 /\ 1-oldX0^post5 <= 0 /\ -oldX1^post5+x1^post5 == 0 /\ -x0^0+oldX0^post5 == 0), cost: 1
   6: l4 -> l3 : x0^0'=x0^post6, oldX1^0'=oldX1^post6, oldX3^0'=oldX3^post6, oldX0^0'=oldX0^post6, x1^0'=x1^post6, oldX2^0'=oldX2^post6, (x0^post6-oldX0^post6 == 0 /\ -x0^0+oldX0^post6 == 0 /\ -oldX1^post6+x1^post6 == 0 /\ -oldX2^post6+oldX2^0 == 0 /\ oldX1^post6-x1^0 == 0 /\ -oldX3^post6+oldX3^0 == 0 /\ oldX1^post6 <= 0), cost: 1
   7: l4 -> l3 : x0^0'=x0^post7, oldX1^0'=oldX1^post7, oldX3^0'=oldX3^post7, oldX0^0'=oldX0^post7, x1^0'=x1^post7, oldX2^0'=oldX2^post7, (-oldX1^post7+x1^post7 == 0 /\ oldX1^post7-x1^0 == 0 /\ oldX0^post7 <= 0 /\ -x0^0+oldX0^post7 == 0 /\ oldX2^0-oldX2^post7 == 0 /\ x0^post7-oldX0^post7 == 0 /\ oldX3^0-oldX3^post7 == 0), cost: 1
   9: l5 -> l1 : x0^0'=x0^post9, oldX1^0'=oldX1^post9, oldX3^0'=oldX3^post9, oldX0^0'=oldX0^post9, x1^0'=x1^post9, oldX2^0'=oldX2^post9, (-x1^post9+x1^0 == 0 /\ -oldX0^post9+oldX0^0 == 0 /\ oldX1^0-oldX1^post9 == 0 /\ -oldX2^post9+oldX2^0 == 0 /\ oldX3^0-oldX3^post9 == 0 /\ -x0^post9+x0^0 == 0), cost: 1
  10: l5 -> l0 : x0^0'=x0^post10, oldX1^0'=oldX1^post10, oldX3^0'=oldX3^post10, oldX0^0'=oldX0^post10, x1^0'=x1^post10, oldX2^0'=oldX2^post10, (x0^0-x0^post10 == 0 /\ -oldX1^post10+oldX1^0 == 0 /\ oldX3^0-oldX3^post10 == 0 /\ oldX0^0-oldX0^post10 == 0 /\ -oldX2^post10+oldX2^0 == 0 /\ -x1^post10+x1^0 == 0), cost: 1
  11: l5 -> l3 : x0^0'=x0^post11, oldX1^0'=oldX1^post11, oldX3^0'=oldX3^post11, oldX0^0'=oldX0^post11, x1^0'=x1^post11, oldX2^0'=oldX2^post11, (oldX0^0-oldX0^post11 == 0 /\ -oldX2^post11+oldX2^0 == 0 /\ x0^0-x0^post11 == 0 /\ oldX3^0-oldX3^post11 == 0 /\ oldX1^0-oldX1^post11 == 0 /\ x1^0-x1^post11 == 0), cost: 1
  12: l5 -> l4 : x0^0'=x0^post12, oldX1^0'=oldX1^post12, oldX3^0'=oldX3^post12, oldX0^0'=oldX0^post12, x1^0'=x1^post12, oldX2^0'=oldX2^post12, (x0^0-x0^post12 == 0 /\ x1^0-x1^post12 == 0 /\ oldX1^0-oldX1^post12 == 0 /\ -oldX2^post12+oldX2^0 == 0 /\ -oldX3^post12+oldX3^0 == 0 /\ -oldX0^post12+oldX0^0 == 0), cost: 1
  13: l5 -> l2 : x0^0'=x0^post13, oldX1^0'=oldX1^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x1^0'=x1^post13, oldX2^0'=oldX2^post13, (x0^0-x0^post13 == 0 /\ oldX1^0-oldX1^post13 == 0 /\ -oldX3^post13+oldX3^0 == 0 /\ -oldX2^post13+oldX2^0 == 0 /\ -oldX0^post13+oldX0^0 == 0 /\ x1^0-x1^post13 == 0), cost: 1
  14: l6 -> l5 : x0^0'=x0^post14, oldX1^0'=oldX1^post14, oldX3^0'=oldX3^post14, oldX0^0'=oldX0^post14, x1^0'=x1^post14, oldX2^0'=oldX2^post14, (oldX1^0-oldX1^post14 == 0 /\ x0^0-x0^post14 == 0 /\ -oldX3^post14+oldX3^0 == 0 /\ x1^0-x1^post14 == 0 /\ oldX2^0-oldX2^post14 == 0 /\ -oldX0^post14+oldX0^0 == 0), cost: 1


Removed unreachable rules and leafs
Start location: l6
   1: l0 -> l2 : x0^0'=x0^post1, oldX1^0'=oldX1^post1, oldX3^0'=oldX3^post1, oldX0^0'=oldX0^post1, x1^0'=x1^post1, oldX2^0'=oldX2^post1, (1-oldX1^post1+x1^post1 == 0 /\ -oldX2^post1+oldX2^0 == 0 /\ oldX3^0-oldX3^post1 == 0 /\ 1+x0^post1-oldX0^post1 == 0 /\ -x0^0+oldX0^post1 == 0 /\ oldX1^post1-x1^0 == 0), cost: 1
   8: l2 -> l4 : x0^0'=x0^post8, oldX1^0'=oldX1^post8, oldX3^0'=oldX3^post8, oldX0^0'=oldX0^post8, x1^0'=x1^post8, oldX2^0'=oldX2^post8, (oldX1^post8-x1^0 == 0 /\ -oldX2^post8+oldX2^0 == 0 /\ oldX3^0-oldX3^post8 == 0 /\ -x0^0+oldX0^post8 == 0 /\ x1^post8-oldX1^post8 == 0 /\ -oldX0^post8+x0^post8 == 0), cost: 1
   5: l4 -> l0 : x0^0'=x0^post5, oldX1^0'=oldX1^post5, oldX3^0'=oldX3^post5, oldX0^0'=oldX0^post5, x1^0'=x1^post5, oldX2^0'=oldX2^post5, (1-oldX1^post5 <= 0 /\ -oldX2^post5+oldX2^0 == 0 /\ -oldX3^post5+oldX3^0 == 0 /\ x0^post5-oldX0^post5 == 0 /\ -x1^0+oldX1^post5 == 0 /\ 1-oldX0^post5 <= 0 /\ -oldX1^post5+x1^post5 == 0 /\ -x0^0+oldX0^post5 == 0), cost: 1
  10: l5 -> l0 : x0^0'=x0^post10, oldX1^0'=oldX1^post10, oldX3^0'=oldX3^post10, oldX0^0'=oldX0^post10, x1^0'=x1^post10, oldX2^0'=oldX2^post10, (x0^0-x0^post10 == 0 /\ -oldX1^post10+oldX1^0 == 0 /\ oldX3^0-oldX3^post10 == 0 /\ oldX0^0-oldX0^post10 == 0 /\ -oldX2^post10+oldX2^0 == 0 /\ -x1^post10+x1^0 == 0), cost: 1
  12: l5 -> l4 : x0^0'=x0^post12, oldX1^0'=oldX1^post12, oldX3^0'=oldX3^post12, oldX0^0'=oldX0^post12, x1^0'=x1^post12, oldX2^0'=oldX2^post12, (x0^0-x0^post12 == 0 /\ x1^0-x1^post12 == 0 /\ oldX1^0-oldX1^post12 == 0 /\ -oldX2^post12+oldX2^0 == 0 /\ -oldX3^post12+oldX3^0 == 0 /\ -oldX0^post12+oldX0^0 == 0), cost: 1
  13: l5 -> l2 : x0^0'=x0^post13, oldX1^0'=oldX1^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x1^0'=x1^post13, oldX2^0'=oldX2^post13, (x0^0-x0^post13 == 0 /\ oldX1^0-oldX1^post13 == 0 /\ -oldX3^post13+oldX3^0 == 0 /\ -oldX2^post13+oldX2^0 == 0 /\ -oldX0^post13+oldX0^0 == 0 /\ x1^0-x1^post13 == 0), cost: 1
  14: l6 -> l5 : x0^0'=x0^post14, oldX1^0'=oldX1^post14, oldX3^0'=oldX3^post14, oldX0^0'=oldX0^post14, x1^0'=x1^post14, oldX2^0'=oldX2^post14, (oldX1^0-oldX1^post14 == 0 /\ x0^0-x0^post14 == 0 /\ -oldX3^post14+oldX3^0 == 0 /\ x1^0-x1^post14 == 0 /\ oldX2^0-oldX2^post14 == 0 /\ -oldX0^post14+oldX0^0 == 0), cost: 1


Applied preprocessing
Original rule:
l0 -> l2 : x0^0'=x0^post1, oldX1^0'=oldX1^post1, oldX3^0'=oldX3^post1, oldX0^0'=oldX0^post1, x1^0'=x1^post1, oldX2^0'=oldX2^post1, (1-oldX1^post1+x1^post1 == 0 /\ -oldX2^post1+oldX2^0 == 0 /\ oldX3^0-oldX3^post1 == 0 /\ 1+x0^post1-oldX0^post1 == 0 /\ -x0^0+oldX0^post1 == 0 /\ oldX1^post1-x1^0 == 0), cost: 1
New rule:
l0 -> l2 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1

Applied preprocessing
Original rule:
l4 -> l0 : x0^0'=x0^post5, oldX1^0'=oldX1^post5, oldX3^0'=oldX3^post5, oldX0^0'=oldX0^post5, x1^0'=x1^post5, oldX2^0'=oldX2^post5, (1-oldX1^post5 <= 0 /\ -oldX2^post5+oldX2^0 == 0 /\ -oldX3^post5+oldX3^0 == 0 /\ x0^post5-oldX0^post5 == 0 /\ -x1^0+oldX1^post5 == 0 /\ 1-oldX0^post5 <= 0 /\ -oldX1^post5+x1^post5 == 0 /\ -x0^0+oldX0^post5 == 0), cost: 1
New rule:
l4 -> l0 : oldX1^0'=x1^0, oldX0^0'=x0^0, (-1+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 1

Applied preprocessing
Original rule:
l2 -> l4 : x0^0'=x0^post8, oldX1^0'=oldX1^post8, oldX3^0'=oldX3^post8, oldX0^0'=oldX0^post8, x1^0'=x1^post8, oldX2^0'=oldX2^post8, (oldX1^post8-x1^0 == 0 /\ -oldX2^post8+oldX2^0 == 0 /\ oldX3^0-oldX3^post8 == 0 /\ -x0^0+oldX0^post8 == 0 /\ x1^post8-oldX1^post8 == 0 /\ -oldX0^post8+x0^post8 == 0), cost: 1
New rule:
l2 -> l4 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1

Applied preprocessing
Original rule:
l5 -> l0 : x0^0'=x0^post10, oldX1^0'=oldX1^post10, oldX3^0'=oldX3^post10, oldX0^0'=oldX0^post10, x1^0'=x1^post10, oldX2^0'=oldX2^post10, (x0^0-x0^post10 == 0 /\ -oldX1^post10+oldX1^0 == 0 /\ oldX3^0-oldX3^post10 == 0 /\ oldX0^0-oldX0^post10 == 0 /\ -oldX2^post10+oldX2^0 == 0 /\ -x1^post10+x1^0 == 0), cost: 1
New rule:
l5 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l5 -> l4 : x0^0'=x0^post12, oldX1^0'=oldX1^post12, oldX3^0'=oldX3^post12, oldX0^0'=oldX0^post12, x1^0'=x1^post12, oldX2^0'=oldX2^post12, (x0^0-x0^post12 == 0 /\ x1^0-x1^post12 == 0 /\ oldX1^0-oldX1^post12 == 0 /\ -oldX2^post12+oldX2^0 == 0 /\ -oldX3^post12+oldX3^0 == 0 /\ -oldX0^post12+oldX0^0 == 0), cost: 1
New rule:
l5 -> l4 : TRUE, cost: 1

Applied preprocessing
Original rule:
l5 -> l2 : x0^0'=x0^post13, oldX1^0'=oldX1^post13, oldX3^0'=oldX3^post13, oldX0^0'=oldX0^post13, x1^0'=x1^post13, oldX2^0'=oldX2^post13, (x0^0-x0^post13 == 0 /\ oldX1^0-oldX1^post13 == 0 /\ -oldX3^post13+oldX3^0 == 0 /\ -oldX2^post13+oldX2^0 == 0 /\ -oldX0^post13+oldX0^0 == 0 /\ x1^0-x1^post13 == 0), cost: 1
New rule:
l5 -> l2 : TRUE, cost: 1

Applied preprocessing
Original rule:
l6 -> l5 : x0^0'=x0^post14, oldX1^0'=oldX1^post14, oldX3^0'=oldX3^post14, oldX0^0'=oldX0^post14, x1^0'=x1^post14, oldX2^0'=oldX2^post14, (oldX1^0-oldX1^post14 == 0 /\ x0^0-x0^post14 == 0 /\ -oldX3^post14+oldX3^0 == 0 /\ x1^0-x1^post14 == 0 /\ oldX2^0-oldX2^post14 == 0 /\ -oldX0^post14+oldX0^0 == 0), cost: 1
New rule:
l6 -> l5 : TRUE, cost: 1

Simplified rules
Start location: l6
  15: l0 -> l2 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1
  17: l2 -> l4 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1
  16: l4 -> l0 : oldX1^0'=x1^0, oldX0^0'=x0^0, (-1+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 1
  18: l5 -> l0 : TRUE, cost: 1
  19: l5 -> l4 : TRUE, cost: 1
  20: l5 -> l2 : TRUE, cost: 1
  21: l6 -> l5 : TRUE, cost: 1


Eliminating location l5 by chaining:

Applied chaining
First rule:
l6 -> l5 : TRUE, cost: 1
Second rule:
l5 -> l0 : TRUE, cost: 1
New rule:
l6 -> l0 : TRUE, cost: 2

Applied chaining
First rule:
l6 -> l5 : TRUE, cost: 1
Second rule:
l5 -> l4 : TRUE, cost: 1
New rule:
l6 -> l4 : TRUE, cost: 2

Applied chaining
First rule:
l6 -> l5 : TRUE, cost: 1
Second rule:
l5 -> l2 : TRUE, cost: 1
New rule:
l6 -> l2 : TRUE, cost: 2

Applied deletion
Removed the following rules: 18 19 20 21

Eliminated locations on tree-shaped paths
Start location: l6
  15: l0 -> l2 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 1
  17: l2 -> l4 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1
  16: l4 -> l0 : oldX1^0'=x1^0, oldX0^0'=x0^0, (-1+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 1
  22: l6 -> l0 : TRUE, cost: 2
  23: l6 -> l4 : TRUE, cost: 2
  24: l6 -> l2 : TRUE, cost: 2


Eliminated location l0
Start location: l6
  17: l2 -> l4 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 1
  25: l4 -> l2 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, (-1+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 2
  23: l6 -> l4 : TRUE, cost: 2
  24: l6 -> l2 : TRUE, cost: 2
  26: l6 -> l2 : x0^0'=-1+x0^0, oldX1^0'=x1^0, oldX0^0'=x0^0, x1^0'=-1+x1^0, TRUE, cost: 3


Eliminated location l2
Start location: l6
  28: l4 -> l4 : x0^0'=-1+x0^0, oldX1^0'=-1+x1^0, oldX0^0'=-1+x0^0, x1^0'=-1+x1^0, (-1+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 3
  23: l6 -> l4 : TRUE, cost: 2
  27: l6 -> l4 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3
  29: l6 -> l4 : x0^0'=-1+x0^0, oldX1^0'=-1+x1^0, oldX0^0'=-1+x0^0, x1^0'=-1+x1^0, TRUE, cost: 4


Applied acceleration
Original rule:
l4 -> l4 : x0^0'=-1+x0^0, oldX1^0'=-1+x1^0, oldX0^0'=-1+x0^0, x1^0'=-1+x1^0, (-1+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 3
New rule:
l4 -> l4 : x0^0'=x0^0-n, oldX1^0'=x1^0-n, oldX0^0'=x0^0-n, x1^0'=x1^0-n, (-1+n >= 0 /\ x0^0-n >= 0 /\ x1^0-n >= 0), cost: 3*n
Sub-proof via acceration calculus written to file:///tmp/tmpnam_fEblle.txt

Applied instantiation
Original rule:
l4 -> l4 : x0^0'=x0^0-n, oldX1^0'=x1^0-n, oldX0^0'=x0^0-n, x1^0'=x1^0-n, (-1+n >= 0 /\ x0^0-n >= 0 /\ x1^0-n >= 0), cost: 3*n
New rule:
l4 -> l4 : x0^0'=0, oldX1^0'=-x0^0+x1^0, oldX0^0'=0, x1^0'=-x0^0+x1^0, (0 >= 0 /\ -x0^0+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 3*x0^0

Applied instantiation
Original rule:
l4 -> l4 : x0^0'=x0^0-n, oldX1^0'=x1^0-n, oldX0^0'=x0^0-n, x1^0'=x1^0-n, (-1+n >= 0 /\ x0^0-n >= 0 /\ x1^0-n >= 0), cost: 3*n
New rule:
l4 -> l4 : x0^0'=x0^0-x1^0, oldX1^0'=0, oldX0^0'=x0^0-x1^0, x1^0'=0, (0 >= 0 /\ -1+x1^0 >= 0 /\ x0^0-x1^0 >= 0), cost: 3*x1^0

Applied simplification
Original rule:
l4 -> l4 : x0^0'=0, oldX1^0'=-x0^0+x1^0, oldX0^0'=0, x1^0'=-x0^0+x1^0, (0 >= 0 /\ -x0^0+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 3*x0^0
New rule:
l4 -> l4 : x0^0'=0, oldX1^0'=-x0^0+x1^0, oldX0^0'=0, x1^0'=-x0^0+x1^0, (-x0^0+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 3*x0^0

Applied simplification
Original rule:
l4 -> l4 : x0^0'=x0^0-x1^0, oldX1^0'=0, oldX0^0'=x0^0-x1^0, x1^0'=0, (0 >= 0 /\ -1+x1^0 >= 0 /\ x0^0-x1^0 >= 0), cost: 3*x1^0
New rule:
l4 -> l4 : x0^0'=x0^0-x1^0, oldX1^0'=0, oldX0^0'=x0^0-x1^0, x1^0'=0, (-1+x1^0 >= 0 /\ x0^0-x1^0 >= 0), cost: 3*x1^0

Applied deletion
Removed the following rules: 28

Accelerated simple loops
Start location: l6
  32: l4 -> l4 : x0^0'=0, oldX1^0'=-x0^0+x1^0, oldX0^0'=0, x1^0'=-x0^0+x1^0, (-x0^0+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 3*x0^0
  33: l4 -> l4 : x0^0'=x0^0-x1^0, oldX1^0'=0, oldX0^0'=x0^0-x1^0, x1^0'=0, (-1+x1^0 >= 0 /\ x0^0-x1^0 >= 0), cost: 3*x1^0
  23: l6 -> l4 : TRUE, cost: 2
  27: l6 -> l4 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3
  29: l6 -> l4 : x0^0'=-1+x0^0, oldX1^0'=-1+x1^0, oldX0^0'=-1+x0^0, x1^0'=-1+x1^0, TRUE, cost: 4


Applied chaining
First rule:
l6 -> l4 : TRUE, cost: 2
Second rule:
l4 -> l4 : x0^0'=0, oldX1^0'=-x0^0+x1^0, oldX0^0'=0, x1^0'=-x0^0+x1^0, (-x0^0+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 3*x0^0
New rule:
l6 -> l4 : x0^0'=0, oldX1^0'=-x0^0+x1^0, oldX0^0'=0, x1^0'=-x0^0+x1^0, (-x0^0+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 2+3*x0^0

Applied chaining
First rule:
l6 -> l4 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3
Second rule:
l4 -> l4 : x0^0'=0, oldX1^0'=-x0^0+x1^0, oldX0^0'=0, x1^0'=-x0^0+x1^0, (-x0^0+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 3*x0^0
New rule:
l6 -> l4 : x0^0'=0, oldX1^0'=-x0^0+x1^0, oldX0^0'=0, x1^0'=-x0^0+x1^0, (-x0^0+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 3+3*x0^0

Applied chaining
First rule:
l6 -> l4 : x0^0'=-1+x0^0, oldX1^0'=-1+x1^0, oldX0^0'=-1+x0^0, x1^0'=-1+x1^0, TRUE, cost: 4
Second rule:
l4 -> l4 : x0^0'=0, oldX1^0'=-x0^0+x1^0, oldX0^0'=0, x1^0'=-x0^0+x1^0, (-x0^0+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 3*x0^0
New rule:
l6 -> l4 : x0^0'=0, oldX1^0'=-x0^0+x1^0, oldX0^0'=0, x1^0'=-x0^0+x1^0, (-2+x0^0 >= 0 /\ -x0^0+x1^0 >= 0), cost: 1+3*x0^0

Applied chaining
First rule:
l6 -> l4 : TRUE, cost: 2
Second rule:
l4 -> l4 : x0^0'=x0^0-x1^0, oldX1^0'=0, oldX0^0'=x0^0-x1^0, x1^0'=0, (-1+x1^0 >= 0 /\ x0^0-x1^0 >= 0), cost: 3*x1^0
New rule:
l6 -> l4 : x0^0'=x0^0-x1^0, oldX1^0'=0, oldX0^0'=x0^0-x1^0, x1^0'=0, (-1+x1^0 >= 0 /\ x0^0-x1^0 >= 0), cost: 2+3*x1^0

Applied chaining
First rule:
l6 -> l4 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3
Second rule:
l4 -> l4 : x0^0'=x0^0-x1^0, oldX1^0'=0, oldX0^0'=x0^0-x1^0, x1^0'=0, (-1+x1^0 >= 0 /\ x0^0-x1^0 >= 0), cost: 3*x1^0
New rule:
l6 -> l4 : x0^0'=x0^0-x1^0, oldX1^0'=0, oldX0^0'=x0^0-x1^0, x1^0'=0, (-1+x1^0 >= 0 /\ x0^0-x1^0 >= 0), cost: 3+3*x1^0

Applied chaining
First rule:
l6 -> l4 : x0^0'=-1+x0^0, oldX1^0'=-1+x1^0, oldX0^0'=-1+x0^0, x1^0'=-1+x1^0, TRUE, cost: 4
Second rule:
l4 -> l4 : x0^0'=x0^0-x1^0, oldX1^0'=0, oldX0^0'=x0^0-x1^0, x1^0'=0, (-1+x1^0 >= 0 /\ x0^0-x1^0 >= 0), cost: 3*x1^0
New rule:
l6 -> l4 : x0^0'=x0^0-x1^0, oldX1^0'=0, oldX0^0'=x0^0-x1^0, x1^0'=0, (-2+x1^0 >= 0 /\ x0^0-x1^0 >= 0), cost: 1+3*x1^0

Applied deletion
Removed the following rules: 32 33

Chained accelerated rules with incoming rules
Start location: l6
  23: l6 -> l4 : TRUE, cost: 2
  27: l6 -> l4 : oldX1^0'=x1^0, oldX0^0'=x0^0, TRUE, cost: 3
  29: l6 -> l4 : x0^0'=-1+x0^0, oldX1^0'=-1+x1^0, oldX0^0'=-1+x0^0, x1^0'=-1+x1^0, TRUE, cost: 4
  34: l6 -> l4 : x0^0'=0, oldX1^0'=-x0^0+x1^0, oldX0^0'=0, x1^0'=-x0^0+x1^0, (-x0^0+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 2+3*x0^0
  35: l6 -> l4 : x0^0'=0, oldX1^0'=-x0^0+x1^0, oldX0^0'=0, x1^0'=-x0^0+x1^0, (-x0^0+x1^0 >= 0 /\ -1+x0^0 >= 0), cost: 3+3*x0^0
  36: l6 -> l4 : x0^0'=0, oldX1^0'=-x0^0+x1^0, oldX0^0'=0, x1^0'=-x0^0+x1^0, (-2+x0^0 >= 0 /\ -x0^0+x1^0 >= 0), cost: 1+3*x0^0
  37: l6 -> l4 : x0^0'=x0^0-x1^0, oldX1^0'=0, oldX0^0'=x0^0-x1^0, x1^0'=0, (-1+x1^0 >= 0 /\ x0^0-x1^0 >= 0), cost: 2+3*x1^0
  38: l6 -> l4 : x0^0'=x0^0-x1^0, oldX1^0'=0, oldX0^0'=x0^0-x1^0, x1^0'=0, (-1+x1^0 >= 0 /\ x0^0-x1^0 >= 0), cost: 3+3*x1^0
  39: l6 -> l4 : x0^0'=x0^0-x1^0, oldX1^0'=0, oldX0^0'=x0^0-x1^0, x1^0'=0, (-2+x1^0 >= 0 /\ x0^0-x1^0 >= 0), cost: 1+3*x1^0


Removed unreachable locations and irrelevant leafs
Start location: l6
  <empty>


Computing asymptotic complexity

Proved the following lower bound
Complexity:  Unknown
Cpx degree: ?

Solved cost: 0
Rule cost:   0