WORST_CASE(Omega(0),?)

Initial ITS
Start location: __init
   0: f1_0_main_Load -> f368_0_main_LE : arg2'=arg2P0, arg1'=arg1P0, arg3'=arg3P0, (1+arg1P0 > 0 /\ 1+arg2 > 0 /\ 2-arg3P0 == 0 /\ arg1 > 0 /\ 1+arg2P0 > 0), cost: 1
   1: f368_0_main_LE -> f368_0_main_LE : arg2'=arg2P1, arg1'=arg1P1, arg3'=arg3P1, (1+arg3-arg3P1 == 0 /\ -1-arg1P1+arg1 == 0 /\ arg2 > 0 /\ arg1 > 0 /\ 1+arg3 > 0 /\ -41+x70 > 0 /\ arg2-arg2P1 == 0), cost: 1
   2: f368_0_main_LE -> f368_0_main_LE : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, (1+x120 > 0 /\ arg2 > 0 /\ -1+arg2-arg2P2 == 0 /\ -42+x120 < 0 /\ arg1 > 0 /\ 1+arg3 > 0 /\ 2-arg3P2+arg3 == 0 /\ 1+arg1P2 > 0), cost: 1
   3: __init -> f1_0_main_Load : arg2'=arg2P3, arg1'=arg1P3, arg3'=arg3P3, TRUE, cost: 1


Applied preprocessing
Original rule:
f1_0_main_Load -> f368_0_main_LE : arg2'=arg2P0, arg1'=arg1P0, arg3'=arg3P0, (1+arg1P0 > 0 /\ 1+arg2 > 0 /\ 2-arg3P0 == 0 /\ arg1 > 0 /\ 1+arg2P0 > 0), cost: 1
New rule:
f1_0_main_Load -> f368_0_main_LE : arg2'=arg2P0, arg1'=arg1P0, arg3'=2, (1+arg1P0 > 0 /\ 1+arg2 > 0 /\ arg1 > 0 /\ 1+arg2P0 > 0), cost: 1

Applied preprocessing
Original rule:
f368_0_main_LE -> f368_0_main_LE : arg2'=arg2P1, arg1'=arg1P1, arg3'=arg3P1, (1+arg3-arg3P1 == 0 /\ -1-arg1P1+arg1 == 0 /\ arg2 > 0 /\ arg1 > 0 /\ 1+arg3 > 0 /\ -41+x70 > 0 /\ arg2-arg2P1 == 0), cost: 1
New rule:
f368_0_main_LE -> f368_0_main_LE : arg1'=-1+arg1, arg3'=1+arg3, (arg2 > 0 /\ arg1 > 0 /\ 1+arg3 > 0), cost: 1

Applied preprocessing
Original rule:
f368_0_main_LE -> f368_0_main_LE : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, (1+x120 > 0 /\ arg2 > 0 /\ -1+arg2-arg2P2 == 0 /\ -42+x120 < 0 /\ arg1 > 0 /\ 1+arg3 > 0 /\ 2-arg3P2+arg3 == 0 /\ 1+arg1P2 > 0), cost: 1
New rule:
f368_0_main_LE -> f368_0_main_LE : arg2'=-1+arg2, arg1'=arg1P2, arg3'=2+arg3, (arg2 > 0 /\ arg1 > 0 /\ 1+arg3 > 0 /\ 1+arg1P2 > 0), cost: 1

Simplified rules
Start location: __init
   4: f1_0_main_Load -> f368_0_main_LE : arg2'=arg2P0, arg1'=arg1P0, arg3'=2, (1+arg1P0 > 0 /\ 1+arg2 > 0 /\ arg1 > 0 /\ 1+arg2P0 > 0), cost: 1
   5: f368_0_main_LE -> f368_0_main_LE : arg1'=-1+arg1, arg3'=1+arg3, (arg2 > 0 /\ arg1 > 0 /\ 1+arg3 > 0), cost: 1
   6: f368_0_main_LE -> f368_0_main_LE : arg2'=-1+arg2, arg1'=arg1P2, arg3'=2+arg3, (arg2 > 0 /\ arg1 > 0 /\ 1+arg3 > 0 /\ 1+arg1P2 > 0), cost: 1
   3: __init -> f1_0_main_Load : arg2'=arg2P3, arg1'=arg1P3, arg3'=arg3P3, TRUE, cost: 1


Applied acceleration
Original rule:
f368_0_main_LE -> f368_0_main_LE : arg1'=-1+arg1, arg3'=1+arg3, (arg2 > 0 /\ arg1 > 0 /\ 1+arg3 > 0), cost: 1
New rule:
f368_0_main_LE -> f368_0_main_LE : arg1'=arg1-n, arg3'=arg3+n, (1+arg1-n > 0 /\ arg2 > 0 /\ 1+arg3 > 0 /\ n >= 0), cost: n
Sub-proof via acceration calculus written to file:///tmp/tmpnam_poGlap.txt

Applied instantiation
Original rule:
f368_0_main_LE -> f368_0_main_LE : arg1'=arg1-n, arg3'=arg3+n, (1+arg1-n > 0 /\ arg2 > 0 /\ 1+arg3 > 0 /\ n >= 0), cost: n
New rule:
f368_0_main_LE -> f368_0_main_LE : arg1'=0, arg3'=arg1+arg3, (1 > 0 /\ arg2 > 0 /\ arg1 >= 0 /\ 1+arg3 > 0), cost: arg1

Applied acceleration
Original rule:
f368_0_main_LE -> f368_0_main_LE : arg2'=-1+arg2, arg1'=arg1P2, arg3'=2+arg3, (arg2 > 0 /\ arg1 > 0 /\ 1+arg3 > 0 /\ 1+arg1P2 > 0), cost: 1
New rule:
f368_0_main_LE -> f368_0_main_LE : arg2'=arg2-n0, arg1'=arg1P2, arg3'=arg3+2*n0, (-1+n0 >= 0 /\ arg1P2 > 0 /\ arg1 > 0 /\ 1+arg3 > 0 /\ 1+arg2-n0 > 0 /\ 1+arg1P2 > 0), cost: n0
Sub-proof via acceration calculus written to file:///tmp/tmpnam_hNPNec.txt

Applied instantiation
Original rule:
f368_0_main_LE -> f368_0_main_LE : arg2'=arg2-n0, arg1'=arg1P2, arg3'=arg3+2*n0, (-1+n0 >= 0 /\ arg1P2 > 0 /\ arg1 > 0 /\ 1+arg3 > 0 /\ 1+arg2-n0 > 0 /\ 1+arg1P2 > 0), cost: n0
New rule:
f368_0_main_LE -> f368_0_main_LE : arg2'=0, arg1'=arg1P2, arg3'=2*arg2+arg3, (1 > 0 /\ arg1P2 > 0 /\ arg1 > 0 /\ -1+arg2 >= 0 /\ 1+arg3 > 0 /\ 1+arg1P2 > 0), cost: arg2

Applied simplification
Original rule:
f368_0_main_LE -> f368_0_main_LE : arg1'=0, arg3'=arg1+arg3, (1 > 0 /\ arg2 > 0 /\ arg1 >= 0 /\ 1+arg3 > 0), cost: arg1
New rule:
f368_0_main_LE -> f368_0_main_LE : arg1'=0, arg3'=arg1+arg3, (arg2 > 0 /\ arg1 >= 0 /\ 1+arg3 > 0), cost: arg1

Applied simplification
Original rule:
f368_0_main_LE -> f368_0_main_LE : arg2'=0, arg1'=arg1P2, arg3'=2*arg2+arg3, (1 > 0 /\ arg1P2 > 0 /\ arg1 > 0 /\ -1+arg2 >= 0 /\ 1+arg3 > 0 /\ 1+arg1P2 > 0), cost: arg2
New rule:
f368_0_main_LE -> f368_0_main_LE : arg2'=0, arg1'=arg1P2, arg3'=2*arg2+arg3, (arg1P2 > 0 /\ arg1 > 0 /\ -1+arg2 >= 0 /\ 1+arg3 > 0), cost: arg2

Applied deletion
Removed the following rules: 5 6

Accelerated simple loops
Start location: __init
   4: f1_0_main_Load -> f368_0_main_LE : arg2'=arg2P0, arg1'=arg1P0, arg3'=2, (1+arg1P0 > 0 /\ 1+arg2 > 0 /\ arg1 > 0 /\ 1+arg2P0 > 0), cost: 1
   9: f368_0_main_LE -> f368_0_main_LE : arg1'=0, arg3'=arg1+arg3, (arg2 > 0 /\ arg1 >= 0 /\ 1+arg3 > 0), cost: arg1
  10: f368_0_main_LE -> f368_0_main_LE : arg2'=0, arg1'=arg1P2, arg3'=2*arg2+arg3, (arg1P2 > 0 /\ arg1 > 0 /\ -1+arg2 >= 0 /\ 1+arg3 > 0), cost: arg2
   3: __init -> f1_0_main_Load : arg2'=arg2P3, arg1'=arg1P3, arg3'=arg3P3, TRUE, cost: 1


Applied chaining
First rule:
f1_0_main_Load -> f368_0_main_LE : arg2'=arg2P0, arg1'=arg1P0, arg3'=2, (1+arg1P0 > 0 /\ 1+arg2 > 0 /\ arg1 > 0 /\ 1+arg2P0 > 0), cost: 1
Second rule:
f368_0_main_LE -> f368_0_main_LE : arg1'=0, arg3'=arg1+arg3, (arg2 > 0 /\ arg1 >= 0 /\ 1+arg3 > 0), cost: arg1
New rule:
f1_0_main_Load -> f368_0_main_LE : arg2'=arg2P0, arg1'=0, arg3'=2+arg1P0, (arg2P0 > 0 /\ 1+arg2 > 0 /\ arg1 > 0 /\ arg1P0 >= 0), cost: 1+arg1P0

Applied chaining
First rule:
f1_0_main_Load -> f368_0_main_LE : arg2'=arg2P0, arg1'=arg1P0, arg3'=2, (1+arg1P0 > 0 /\ 1+arg2 > 0 /\ arg1 > 0 /\ 1+arg2P0 > 0), cost: 1
Second rule:
f368_0_main_LE -> f368_0_main_LE : arg2'=0, arg1'=arg1P2, arg3'=2*arg2+arg3, (arg1P2 > 0 /\ arg1 > 0 /\ -1+arg2 >= 0 /\ 1+arg3 > 0), cost: arg2
New rule:
f1_0_main_Load -> f368_0_main_LE : arg2'=0, arg1'=arg1P2, arg3'=2+2*arg2P0, (-1+arg2P0 >= 0 /\ arg1P2 > 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1+arg2P0

Applied deletion
Removed the following rules: 9 10

Chained accelerated rules with incoming rules
Start location: __init
   4: f1_0_main_Load -> f368_0_main_LE : arg2'=arg2P0, arg1'=arg1P0, arg3'=2, (1+arg1P0 > 0 /\ 1+arg2 > 0 /\ arg1 > 0 /\ 1+arg2P0 > 0), cost: 1
  11: f1_0_main_Load -> f368_0_main_LE : arg2'=arg2P0, arg1'=0, arg3'=2+arg1P0, (arg2P0 > 0 /\ 1+arg2 > 0 /\ arg1 > 0 /\ arg1P0 >= 0), cost: 1+arg1P0
  12: f1_0_main_Load -> f368_0_main_LE : arg2'=0, arg1'=arg1P2, arg3'=2+2*arg2P0, (-1+arg2P0 >= 0 /\ arg1P2 > 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1+arg2P0
   3: __init -> f1_0_main_Load : arg2'=arg2P3, arg1'=arg1P3, arg3'=arg3P3, 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