WORST_CASE(Omega(0),?)

Initial ITS
Start location: __init
   0: f1_0_main_Load -> f87_0_flip_LE : arg1'=arg1P0, arg2'=arg2P0, (arg2-arg2P0 == 0 /\ arg1 > 0 /\ 5 > 0 /\ 1+arg2 > 0 /\ 5-arg1P0+arg2 == 0), cost: 1
   1: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ arg1-arg2 == 0 /\ -1 < 0 /\ arg1-arg1P1 == 0 /\ -1+arg1-arg2P1 == 0), cost: 1
   2: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg1P2, arg2'=arg2P2, (arg1 > 0 /\ -1+arg2 > 0 /\ -arg2P2+arg2 == 0 /\ -arg1+arg2 > 0 /\ arg2-arg1P2 == 0), cost: 1
   3: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg1P3, arg2'=arg2P3, (-1+arg1 > 0 /\ -arg1+arg2 < 0 /\ arg2 > 0 /\ arg1-arg2P3 == 0 /\ -arg1P3+arg2 == 0), cost: 1
   4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1


Applied preprocessing
Original rule:
f1_0_main_Load -> f87_0_flip_LE : arg1'=arg1P0, arg2'=arg2P0, (arg2-arg2P0 == 0 /\ arg1 > 0 /\ 5 > 0 /\ 1+arg2 > 0 /\ 5-arg1P0+arg2 == 0), cost: 1
New rule:
f1_0_main_Load -> f87_0_flip_LE : arg1'=5+arg2, (arg1 > 0 /\ 1+arg2 > 0), cost: 1

Applied preprocessing
Original rule:
f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ arg1-arg2 == 0 /\ -1 < 0 /\ arg1-arg1P1 == 0 /\ -1+arg1-arg2P1 == 0), cost: 1
New rule:
f87_0_flip_LE -> f87_0_flip_LE : arg2'=-1+arg1, (arg1 > 0 /\ arg1-arg2 == 0), cost: 1

Applied preprocessing
Original rule:
f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg1P2, arg2'=arg2P2, (arg1 > 0 /\ -1+arg2 > 0 /\ -arg2P2+arg2 == 0 /\ -arg1+arg2 > 0 /\ arg2-arg1P2 == 0), cost: 1
New rule:
f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg2, (arg1 > 0 /\ -arg1+arg2 > 0), cost: 1

Applied preprocessing
Original rule:
f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg1P3, arg2'=arg2P3, (-1+arg1 > 0 /\ -arg1+arg2 < 0 /\ arg2 > 0 /\ arg1-arg2P3 == 0 /\ -arg1P3+arg2 == 0), cost: 1
New rule:
f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg2, arg2'=arg1, (arg2 > 0 /\ arg1-arg2 > 0), cost: 1

Simplified rules
Start location: __init
   5: f1_0_main_Load -> f87_0_flip_LE : arg1'=5+arg2, (arg1 > 0 /\ 1+arg2 > 0), cost: 1
   6: f87_0_flip_LE -> f87_0_flip_LE : arg2'=-1+arg1, (arg1 > 0 /\ arg1-arg2 == 0), cost: 1
   7: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg2, (arg1 > 0 /\ -arg1+arg2 > 0), cost: 1
   8: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg2, arg2'=arg1, (arg2 > 0 /\ arg1-arg2 > 0), cost: 1
   4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1


Accelerated simple loops
Start location: __init
   5: f1_0_main_Load -> f87_0_flip_LE : arg1'=5+arg2, (arg1 > 0 /\ 1+arg2 > 0), cost: 1
   6: f87_0_flip_LE -> f87_0_flip_LE : arg2'=-1+arg1, (arg1 > 0 /\ arg1-arg2 == 0), cost: 1
   7: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg2, (arg1 > 0 /\ -arg1+arg2 > 0), cost: 1
   8: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg2, arg2'=arg1, (arg2 > 0 /\ arg1-arg2 > 0), cost: 1
   4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1


Applied chaining
First rule:
f1_0_main_Load -> f87_0_flip_LE : arg1'=5+arg2, (arg1 > 0 /\ 1+arg2 > 0), cost: 1
Second rule:
f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg2, arg2'=arg1, (arg2 > 0 /\ arg1-arg2 > 0), cost: 1
New rule:
f1_0_main_Load -> f87_0_flip_LE : arg1'=arg2, arg2'=5+arg2, (arg1 > 0 /\ arg2 > 0), cost: 2

Applied deletion
Removed the following rules: 6 7 8

Chained accelerated rules with incoming rules
Start location: __init
   5: f1_0_main_Load -> f87_0_flip_LE : arg1'=5+arg2, (arg1 > 0 /\ 1+arg2 > 0), cost: 1
   9: f1_0_main_Load -> f87_0_flip_LE : arg1'=arg2, arg2'=5+arg2, (arg1 > 0 /\ arg2 > 0), cost: 2
   4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1


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


Computing asymptotic complexity

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

Solved cost: 0
Rule cost:   0