WORST_CASE(Omega(0),?)

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


Removed unreachable rules and leafs
Start location: l5
   0: l0 -> l1 : x_5^0'=x_5^post0, Result_4^0'=Result_4^post0, (-Result_4^post0+Result_4^0 == 0 /\ 1-x_5^0 <= 0 /\ 1+x_5^post0-x_5^0 == 0), cost: 1
   1: l1 -> l0 : x_5^0'=x_5^post1, Result_4^0'=Result_4^post1, (Result_4^0-Result_4^post1 == 0 /\ x_5^0-x_5^post1 == 0), cost: 1
   3: l3 -> l0 : x_5^0'=x_5^post3, Result_4^0'=Result_4^post3, (-Result_4^post3+Result_4^0 == 0 /\ 1-x_5^0 <= 0 /\ 1-x_5^0+x_5^post3 == 0), cost: 1
   5: l4 -> l3 : x_5^0'=x_5^post5, Result_4^0'=Result_4^post5, (Result_4^0-Result_4^post5 == 0 /\ x_5^0-x_5^post5 == 0), cost: 1
   6: l5 -> l4 : x_5^0'=x_5^post6, Result_4^0'=Result_4^post6, (-Result_4^post6+Result_4^0 == 0 /\ -x_5^post6+x_5^0 == 0), cost: 1


Applied preprocessing
Original rule:
l0 -> l1 : x_5^0'=x_5^post0, Result_4^0'=Result_4^post0, (-Result_4^post0+Result_4^0 == 0 /\ 1-x_5^0 <= 0 /\ 1+x_5^post0-x_5^0 == 0), cost: 1
New rule:
l0 -> l1 : x_5^0'=-1+x_5^0, -1+x_5^0 >= 0, cost: 1

Applied preprocessing
Original rule:
l1 -> l0 : x_5^0'=x_5^post1, Result_4^0'=Result_4^post1, (Result_4^0-Result_4^post1 == 0 /\ x_5^0-x_5^post1 == 0), cost: 1
New rule:
l1 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l3 -> l0 : x_5^0'=x_5^post3, Result_4^0'=Result_4^post3, (-Result_4^post3+Result_4^0 == 0 /\ 1-x_5^0 <= 0 /\ 1-x_5^0+x_5^post3 == 0), cost: 1
New rule:
l3 -> l0 : x_5^0'=-1+x_5^0, -1+x_5^0 >= 0, cost: 1

Applied preprocessing
Original rule:
l4 -> l3 : x_5^0'=x_5^post5, Result_4^0'=Result_4^post5, (Result_4^0-Result_4^post5 == 0 /\ x_5^0-x_5^post5 == 0), cost: 1
New rule:
l4 -> l3 : TRUE, cost: 1

Applied preprocessing
Original rule:
l5 -> l4 : x_5^0'=x_5^post6, Result_4^0'=Result_4^post6, (-Result_4^post6+Result_4^0 == 0 /\ -x_5^post6+x_5^0 == 0), cost: 1
New rule:
l5 -> l4 : TRUE, cost: 1

Simplified rules
Start location: l5
   7: l0 -> l1 : x_5^0'=-1+x_5^0, -1+x_5^0 >= 0, cost: 1
   8: l1 -> l0 : TRUE, cost: 1
   9: l3 -> l0 : x_5^0'=-1+x_5^0, -1+x_5^0 >= 0, cost: 1
  10: l4 -> l3 : TRUE, cost: 1
  11: l5 -> l4 : TRUE, cost: 1


Eliminating location l4 by chaining:

Applied chaining
First rule:
l5 -> l4 : TRUE, cost: 1
Second rule:
l4 -> l3 : TRUE, cost: 1
New rule:
l5 -> l3 : TRUE, cost: 2

Applied deletion
Removed the following rules: 10 11

Eliminating location l3 by chaining:

Applied chaining
First rule:
l5 -> l3 : TRUE, cost: 2
Second rule:
l3 -> l0 : x_5^0'=-1+x_5^0, -1+x_5^0 >= 0, cost: 1
New rule:
l5 -> l0 : x_5^0'=-1+x_5^0, -1+x_5^0 >= 0, cost: 3

Applied deletion
Removed the following rules: 9 12

Eliminating location l1 by chaining:

Applied chaining
First rule:
l0 -> l1 : x_5^0'=-1+x_5^0, -1+x_5^0 >= 0, cost: 1
Second rule:
l1 -> l0 : TRUE, cost: 1
New rule:
l0 -> l0 : x_5^0'=-1+x_5^0, -1+x_5^0 >= 0, cost: 2

Applied deletion
Removed the following rules: 7 8

Eliminated locations on linear paths
Start location: l5
  14: l0 -> l0 : x_5^0'=-1+x_5^0, -1+x_5^0 >= 0, cost: 2
  13: l5 -> l0 : x_5^0'=-1+x_5^0, -1+x_5^0 >= 0, cost: 3


Applied acceleration
Original rule:
l0 -> l0 : x_5^0'=-1+x_5^0, -1+x_5^0 >= 0, cost: 2
New rule:
l0 -> l0 : x_5^0'=x_5^0-n, (x_5^0-n >= 0 /\ n >= 0), cost: 2*n
Sub-proof via acceration calculus written to file:///tmp/tmpnam_gElhCo.txt

Applied instantiation
Original rule:
l0 -> l0 : x_5^0'=x_5^0-n, (x_5^0-n >= 0 /\ n >= 0), cost: 2*n
New rule:
l0 -> l0 : x_5^0'=0, (0 >= 0 /\ x_5^0 >= 0), cost: 2*x_5^0

Applied simplification
Original rule:
l0 -> l0 : x_5^0'=0, (0 >= 0 /\ x_5^0 >= 0), cost: 2*x_5^0
New rule:
l0 -> l0 : x_5^0'=0, x_5^0 >= 0, cost: 2*x_5^0

Applied deletion
Removed the following rules: 14

Accelerated simple loops
Start location: l5
  16: l0 -> l0 : x_5^0'=0, x_5^0 >= 0, cost: 2*x_5^0
  13: l5 -> l0 : x_5^0'=-1+x_5^0, -1+x_5^0 >= 0, cost: 3


Applied chaining
First rule:
l5 -> l0 : x_5^0'=-1+x_5^0, -1+x_5^0 >= 0, cost: 3
Second rule:
l0 -> l0 : x_5^0'=0, x_5^0 >= 0, cost: 2*x_5^0
New rule:
l5 -> l0 : x_5^0'=0, -1+x_5^0 >= 0, cost: 1+2*x_5^0

Applied deletion
Removed the following rules: 16

Chained accelerated rules with incoming rules
Start location: l5
  13: l5 -> l0 : x_5^0'=-1+x_5^0, -1+x_5^0 >= 0, cost: 3
  17: l5 -> l0 : x_5^0'=0, -1+x_5^0 >= 0, cost: 1+2*x_5^0


Removed unreachable locations and irrelevant leafs
Start location: l5
  <empty>


Computing asymptotic complexity

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

Solved cost: 0
Rule cost:   0