WORST_CASE(Omega(0),?)

Initial ITS
Start location: l3
   0: l0 -> l1 : x^0'=x^post0, __const_200^0'=__const_200^post0, (-__const_200^post0+__const_200^0 == 0 /\ 1+x^post0-x^0 == 0 /\ 1-x^post0+__const_200^0 <= 0), cost: 1
   1: l1 -> l0 : x^0'=x^post1, __const_200^0'=__const_200^post1, (__const_200^0-__const_200^post1 == 0 /\ x^0-x^post1 == 0), cost: 1
   2: l2 -> l0 : x^0'=x^post2, __const_200^0'=__const_200^post2, (__const_200^0-__const_200^post2 == 0 /\ x^0-x^post2 == 0), cost: 1
   3: l3 -> l2 : x^0'=x^post3, __const_200^0'=__const_200^post3, (x^0-x^post3 == 0 /\ -__const_200^post3+__const_200^0 == 0), cost: 1


Applied preprocessing
Original rule:
l0 -> l1 : x^0'=x^post0, __const_200^0'=__const_200^post0, (-__const_200^post0+__const_200^0 == 0 /\ 1+x^post0-x^0 == 0 /\ 1-x^post0+__const_200^0 <= 0), cost: 1
New rule:
l0 -> l1 : x^0'=-1+x^0, 2-x^0+__const_200^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l1 -> l0 : x^0'=x^post1, __const_200^0'=__const_200^post1, (__const_200^0-__const_200^post1 == 0 /\ x^0-x^post1 == 0), cost: 1
New rule:
l1 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l2 -> l0 : x^0'=x^post2, __const_200^0'=__const_200^post2, (__const_200^0-__const_200^post2 == 0 /\ x^0-x^post2 == 0), cost: 1
New rule:
l2 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l3 -> l2 : x^0'=x^post3, __const_200^0'=__const_200^post3, (x^0-x^post3 == 0 /\ -__const_200^post3+__const_200^0 == 0), cost: 1
New rule:
l3 -> l2 : TRUE, cost: 1

Simplified rules
Start location: l3
   4: l0 -> l1 : x^0'=-1+x^0, 2-x^0+__const_200^0 <= 0, cost: 1
   5: l1 -> l0 : TRUE, cost: 1
   6: l2 -> l0 : TRUE, cost: 1
   7: l3 -> l2 : TRUE, cost: 1


Eliminating location l2 by chaining:

Applied chaining
First rule:
l3 -> l2 : TRUE, cost: 1
Second rule:
l2 -> l0 : TRUE, cost: 1
New rule:
l3 -> l0 : TRUE, cost: 2

Applied deletion
Removed the following rules: 6 7

Eliminating location l1 by chaining:

Applied chaining
First rule:
l0 -> l1 : x^0'=-1+x^0, 2-x^0+__const_200^0 <= 0, cost: 1
Second rule:
l1 -> l0 : TRUE, cost: 1
New rule:
l0 -> l0 : x^0'=-1+x^0, 2-x^0+__const_200^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 4 5

Eliminated locations on linear paths
Start location: l3
   9: l0 -> l0 : x^0'=-1+x^0, 2-x^0+__const_200^0 <= 0, cost: 2
   8: l3 -> l0 : TRUE, cost: 2


Applied acceleration
Original rule:
l0 -> l0 : x^0'=-1+x^0, 2-x^0+__const_200^0 <= 0, cost: 2
New rule:
l0 -> l0 : x^0'=x^0-n, (-1+x^0-__const_200^0-n >= 0 /\ n >= 0), cost: 2*n
Sub-proof via acceration calculus written to file:///tmp/tmpnam_FnalEf.txt

Applied instantiation
Original rule:
l0 -> l0 : x^0'=x^0-n, (-1+x^0-__const_200^0-n >= 0 /\ n >= 0), cost: 2*n
New rule:
l0 -> l0 : x^0'=1+__const_200^0, (0 >= 0 /\ -1+x^0-__const_200^0 >= 0), cost: -2+2*x^0-2*__const_200^0

Applied simplification
Original rule:
l0 -> l0 : x^0'=1+__const_200^0, (0 >= 0 /\ -1+x^0-__const_200^0 >= 0), cost: -2+2*x^0-2*__const_200^0
New rule:
l0 -> l0 : x^0'=1+__const_200^0, -1+x^0-__const_200^0 >= 0, cost: -2+2*x^0-2*__const_200^0

Applied deletion
Removed the following rules: 9

Accelerated simple loops
Start location: l3
  11: l0 -> l0 : x^0'=1+__const_200^0, -1+x^0-__const_200^0 >= 0, cost: -2+2*x^0-2*__const_200^0
   8: l3 -> l0 : TRUE, cost: 2


Applied chaining
First rule:
l3 -> l0 : TRUE, cost: 2
Second rule:
l0 -> l0 : x^0'=1+__const_200^0, -1+x^0-__const_200^0 >= 0, cost: -2+2*x^0-2*__const_200^0
New rule:
l3 -> l0 : x^0'=1+__const_200^0, -1+x^0-__const_200^0 >= 0, cost: 2*x^0-2*__const_200^0

Applied deletion
Removed the following rules: 11

Chained accelerated rules with incoming rules
Start location: l3
   8: l3 -> l0 : TRUE, cost: 2
  12: l3 -> l0 : x^0'=1+__const_200^0, -1+x^0-__const_200^0 >= 0, cost: 2*x^0-2*__const_200^0


Removed unreachable locations and irrelevant leafs
Start location: l3
  <empty>


Computing asymptotic complexity

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

Solved cost: 0
Rule cost:   0