WORST_CASE(Omega(0),?)

Initial ITS
Start location: __init
   0: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 1+x20 > 0 /\ 1+arg2 > 0 /\ arg1-arg1P0 == 0 /\ arg2-arg2P0 == 0), cost: 1
   1: f1_0_main_Load\' -> f80_0_main_EQ : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ -arg2P1-3*x80+arg1P1 == 0 /\ 1+arg1P1 > 0 /\ -3-3*x80+arg1P1 < 0 /\ -3*x80+arg1P1 >= 0 /\ 1+arg2 > 0), cost: 1
   2: f80_0_main_EQ -> f80_0_main_EQ\' : arg1'=arg1P2, arg2'=arg2P2, (arg2-arg2P2 == 0 /\ arg2 > 0 /\ arg1-arg1P2 == 0), cost: 1
   3: f80_0_main_EQ\' -> f80_0_main_EQ : arg1'=arg1P3, arg2'=arg2P3, (-2+arg1-3*x110 < 0 /\ arg2 > 0 /\ 1+arg1-3*x110 >= 0 /\ 1+arg1-arg1P3 == 0 /\ 1+arg1-arg2P3-3*x110 == 0), cost: 1
   4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1


Applied preprocessing
Original rule:
f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 1+x20 > 0 /\ 1+arg2 > 0 /\ arg1-arg1P0 == 0 /\ arg2-arg2P0 == 0), cost: 1
New rule:
f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ 1+arg2 > 0), cost: 1

Applied preprocessing
Original rule:
f1_0_main_Load\' -> f80_0_main_EQ : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ -arg2P1-3*x80+arg1P1 == 0 /\ 1+arg1P1 > 0 /\ -3-3*x80+arg1P1 < 0 /\ -3*x80+arg1P1 >= 0 /\ 1+arg2 > 0), cost: 1
New rule:
f1_0_main_Load\' -> f80_0_main_EQ : arg1'=arg1P1, arg2'=-3*x80+arg1P1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ 3+3*x80-arg1P1 > 0 /\ -3*x80+arg1P1 >= 0 /\ 1+arg2 > 0), cost: 1

Applied preprocessing
Original rule:
f80_0_main_EQ -> f80_0_main_EQ\' : arg1'=arg1P2, arg2'=arg2P2, (arg2-arg2P2 == 0 /\ arg2 > 0 /\ arg1-arg1P2 == 0), cost: 1
New rule:
f80_0_main_EQ -> f80_0_main_EQ\' : arg2 > 0, cost: 1

Applied preprocessing
Original rule:
f80_0_main_EQ\' -> f80_0_main_EQ : arg1'=arg1P3, arg2'=arg2P3, (-2+arg1-3*x110 < 0 /\ arg2 > 0 /\ 1+arg1-3*x110 >= 0 /\ 1+arg1-arg1P3 == 0 /\ 1+arg1-arg2P3-3*x110 == 0), cost: 1
New rule:
f80_0_main_EQ\' -> f80_0_main_EQ : arg1'=1+arg1, arg2'=1+arg1-3*x110, (2-arg1+3*x110 > 0 /\ arg2 > 0 /\ 1+arg1-3*x110 >= 0), cost: 1

Simplified rules
Start location: __init
   5: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ 1+arg2 > 0), cost: 1
   6: f1_0_main_Load\' -> f80_0_main_EQ : arg1'=arg1P1, arg2'=-3*x80+arg1P1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ 3+3*x80-arg1P1 > 0 /\ -3*x80+arg1P1 >= 0 /\ 1+arg2 > 0), cost: 1
   7: f80_0_main_EQ -> f80_0_main_EQ\' : arg2 > 0, cost: 1
   8: f80_0_main_EQ\' -> f80_0_main_EQ : arg1'=1+arg1, arg2'=1+arg1-3*x110, (2-arg1+3*x110 > 0 /\ arg2 > 0 /\ 1+arg1-3*x110 >= 0), cost: 1
   4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1


Eliminating location f1_0_main_Load by chaining:

Applied chaining
First rule:
__init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1
Second rule:
f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ 1+arg2 > 0), cost: 1
New rule:
__init -> f1_0_main_Load\' : arg1'=arg1P4, arg2'=arg2P4, (1+arg2P4 > 0 /\ arg1P4 > 0), cost: 2

Applied deletion
Removed the following rules: 4 5

Eliminating location f1_0_main_Load\' by chaining:

Applied chaining
First rule:
__init -> f1_0_main_Load\' : arg1'=arg1P4, arg2'=arg2P4, (1+arg2P4 > 0 /\ arg1P4 > 0), cost: 2
Second rule:
f1_0_main_Load\' -> f80_0_main_EQ : arg1'=arg1P1, arg2'=-3*x80+arg1P1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ 3+3*x80-arg1P1 > 0 /\ -3*x80+arg1P1 >= 0 /\ 1+arg2 > 0), cost: 1
New rule:
__init -> f80_0_main_EQ : arg1'=arg1P1, arg2'=-3*x80+arg1P1, (1+arg1P1 > 0 /\ 3+3*x80-arg1P1 > 0 /\ -3*x80+arg1P1 >= 0 /\ 1+arg2P4 > 0 /\ arg1P4 > 0), cost: 3

Applied deletion
Removed the following rules: 6 9

Eliminating location f80_0_main_EQ\' by chaining:

Applied chaining
First rule:
f80_0_main_EQ -> f80_0_main_EQ\' : arg2 > 0, cost: 1
Second rule:
f80_0_main_EQ\' -> f80_0_main_EQ : arg1'=1+arg1, arg2'=1+arg1-3*x110, (2-arg1+3*x110 > 0 /\ arg2 > 0 /\ 1+arg1-3*x110 >= 0), cost: 1
New rule:
f80_0_main_EQ -> f80_0_main_EQ : arg1'=1+arg1, arg2'=1+arg1-3*x110, (2-arg1+3*x110 > 0 /\ arg2 > 0 /\ 1+arg1-3*x110 >= 0), cost: 2

Applied deletion
Removed the following rules: 7 8

Eliminated locations on linear paths
Start location: __init
  11: f80_0_main_EQ -> f80_0_main_EQ : arg1'=1+arg1, arg2'=1+arg1-3*x110, (2-arg1+3*x110 > 0 /\ arg2 > 0 /\ 1+arg1-3*x110 >= 0), cost: 2
  10: __init -> f80_0_main_EQ : arg1'=arg1P1, arg2'=-3*x80+arg1P1, (1+arg1P1 > 0 /\ 3+3*x80-arg1P1 > 0 /\ -3*x80+arg1P1 >= 0 /\ 1+arg2P4 > 0 /\ arg1P4 > 0), cost: 3


Accelerated simple loops
Start location: __init
  11: f80_0_main_EQ -> f80_0_main_EQ : arg1'=1+arg1, arg2'=1+arg1-3*x110, (2-arg1+3*x110 > 0 /\ arg2 > 0 /\ 1+arg1-3*x110 >= 0), cost: 2
  10: __init -> f80_0_main_EQ : arg1'=arg1P1, arg2'=-3*x80+arg1P1, (1+arg1P1 > 0 /\ 3+3*x80-arg1P1 > 0 /\ -3*x80+arg1P1 >= 0 /\ 1+arg2P4 > 0 /\ arg1P4 > 0), cost: 3


Applied chaining
First rule:
__init -> f80_0_main_EQ : arg1'=arg1P1, arg2'=-3*x80+arg1P1, (1+arg1P1 > 0 /\ 3+3*x80-arg1P1 > 0 /\ -3*x80+arg1P1 >= 0 /\ 1+arg2P4 > 0 /\ arg1P4 > 0), cost: 3
Second rule:
f80_0_main_EQ -> f80_0_main_EQ : arg1'=1+arg1, arg2'=1+arg1-3*x110, (2-arg1+3*x110 > 0 /\ arg2 > 0 /\ 1+arg1-3*x110 >= 0), cost: 2
New rule:
__init -> f80_0_main_EQ : arg1'=1+arg1P1, arg2'=1-3*x110+arg1P1, (1+arg1P1 > 0 /\ 3+3*x80-arg1P1 > 0 /\ -3*x80+arg1P1 > 0 /\ 1-3*x110+arg1P1 >= 0 /\ 2+3*x110-arg1P1 > 0), cost: 5

Applied deletion
Removed the following rules: 11

Chained accelerated rules with incoming rules
Start location: __init
  10: __init -> f80_0_main_EQ : arg1'=arg1P1, arg2'=-3*x80+arg1P1, (1+arg1P1 > 0 /\ 3+3*x80-arg1P1 > 0 /\ -3*x80+arg1P1 >= 0 /\ 1+arg2P4 > 0 /\ arg1P4 > 0), cost: 3
  12: __init -> f80_0_main_EQ : arg1'=1+arg1P1, arg2'=1-3*x110+arg1P1, (1+arg1P1 > 0 /\ 3+3*x80-arg1P1 > 0 /\ -3*x80+arg1P1 > 0 /\ 1-3*x110+arg1P1 >= 0 /\ 2+3*x110-arg1P1 > 0), cost: 5


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