WORST_CASE(Omega(0),?)

Initial ITS
Start location: __init
   0: f1_0_main_Load -> f115_0_main_EQ : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1
   1: f115_0_main_EQ -> f115_0_main_EQ\' : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ -1+arg1-2*x60 == 0 /\ arg1-arg1P1 == 0), cost: 1
   3: f115_0_main_EQ -> f115_0_main_EQ\' : arg1'=arg1P3, arg2'=arg2P3, (arg1 > 0 /\ arg1-2*x100 == 0 /\ arg1-x110 > 0 /\ arg1-arg1P3 == 0), cost: 1
   2: f115_0_main_EQ\' -> f115_0_main_EQ : arg1'=arg1P2, arg2'=arg2P2, (arg1 > 0 /\ -2+arg1-2*x80 < 0 /\ arg1-2*x80 >= 0 /\ -1+arg1-arg1P2 == 0 /\ -1+arg1-2*x80 == 0), cost: 1
   4: f115_0_main_EQ\' -> f115_0_main_EQ : arg1'=arg1P4, arg2'=arg2P4, (arg1 > 0 /\ arg1-arg1P4 > 0 /\ arg1-2*x140 >= 0 /\ arg1-2*x140 == 0 /\ -2+arg1-2*x140 < 0 /\ -2+arg1-2*arg1P4 < 0 /\ arg1-2*arg1P4 >= 0), cost: 1
   5: __init -> f1_0_main_Load : arg1'=arg1P5, arg2'=arg2P5, TRUE, cost: 1


Applied preprocessing
Original rule:
f115_0_main_EQ -> f115_0_main_EQ\' : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ -1+arg1-2*x60 == 0 /\ arg1-arg1P1 == 0), cost: 1
New rule:
f115_0_main_EQ -> f115_0_main_EQ\' : arg2'=arg2P1, (arg1 > 0 /\ -1+arg1-2*x60 == 0), cost: 1

Applied preprocessing
Original rule:
f115_0_main_EQ\' -> f115_0_main_EQ : arg1'=arg1P2, arg2'=arg2P2, (arg1 > 0 /\ -2+arg1-2*x80 < 0 /\ arg1-2*x80 >= 0 /\ -1+arg1-arg1P2 == 0 /\ -1+arg1-2*x80 == 0), cost: 1
New rule:
f115_0_main_EQ\' -> f115_0_main_EQ : arg1'=-1+arg1, arg2'=arg2P2, (arg1 > 0 /\ -1+arg1-2*x80 == 0), cost: 1

Applied preprocessing
Original rule:
f115_0_main_EQ -> f115_0_main_EQ\' : arg1'=arg1P3, arg2'=arg2P3, (arg1 > 0 /\ arg1-2*x100 == 0 /\ arg1-x110 > 0 /\ arg1-arg1P3 == 0), cost: 1
New rule:
f115_0_main_EQ -> f115_0_main_EQ\' : arg2'=arg2P3, (arg1 > 0 /\ arg1-2*x100 == 0), cost: 1

Applied preprocessing
Original rule:
f115_0_main_EQ\' -> f115_0_main_EQ : arg1'=arg1P4, arg2'=arg2P4, (arg1 > 0 /\ arg1-arg1P4 > 0 /\ arg1-2*x140 >= 0 /\ arg1-2*x140 == 0 /\ -2+arg1-2*x140 < 0 /\ -2+arg1-2*arg1P4 < 0 /\ arg1-2*arg1P4 >= 0), cost: 1
New rule:
f115_0_main_EQ\' -> f115_0_main_EQ : arg1'=arg1P4, arg2'=arg2P4, (arg1-arg1P4 > 0 /\ 2-arg1+2*arg1P4 > 0 /\ arg1-2*x140 == 0 /\ arg1-2*arg1P4 >= 0), cost: 1

Simplified rules
Start location: __init
   0: f1_0_main_Load -> f115_0_main_EQ : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1
   6: f115_0_main_EQ -> f115_0_main_EQ\' : arg2'=arg2P1, (arg1 > 0 /\ -1+arg1-2*x60 == 0), cost: 1
   8: f115_0_main_EQ -> f115_0_main_EQ\' : arg2'=arg2P3, (arg1 > 0 /\ arg1-2*x100 == 0), cost: 1
   7: f115_0_main_EQ\' -> f115_0_main_EQ : arg1'=-1+arg1, arg2'=arg2P2, (arg1 > 0 /\ -1+arg1-2*x80 == 0), cost: 1
   9: f115_0_main_EQ\' -> f115_0_main_EQ : arg1'=arg1P4, arg2'=arg2P4, (arg1-arg1P4 > 0 /\ 2-arg1+2*arg1P4 > 0 /\ arg1-2*x140 == 0 /\ arg1-2*arg1P4 >= 0), cost: 1
   5: __init -> f1_0_main_Load : arg1'=arg1P5, arg2'=arg2P5, TRUE, cost: 1


Eliminating location f1_0_main_Load by chaining:

Applied chaining
First rule:
__init -> f1_0_main_Load : arg1'=arg1P5, arg2'=arg2P5, TRUE, cost: 1
Second rule:
f1_0_main_Load -> f115_0_main_EQ : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1
New rule:
__init -> f115_0_main_EQ : arg1'=arg1P0, arg2'=arg2P0, (arg1P5 > 0 /\ arg1P0 > 0 /\ 1+arg2P5 > 0), cost: 2

Applied deletion
Removed the following rules: 0 5

Eliminated locations on linear paths
Start location: __init
   6: f115_0_main_EQ -> f115_0_main_EQ\' : arg2'=arg2P1, (arg1 > 0 /\ -1+arg1-2*x60 == 0), cost: 1
   8: f115_0_main_EQ -> f115_0_main_EQ\' : arg2'=arg2P3, (arg1 > 0 /\ arg1-2*x100 == 0), cost: 1
   7: f115_0_main_EQ\' -> f115_0_main_EQ : arg1'=-1+arg1, arg2'=arg2P2, (arg1 > 0 /\ -1+arg1-2*x80 == 0), cost: 1
   9: f115_0_main_EQ\' -> f115_0_main_EQ : arg1'=arg1P4, arg2'=arg2P4, (arg1-arg1P4 > 0 /\ 2-arg1+2*arg1P4 > 0 /\ arg1-2*x140 == 0 /\ arg1-2*arg1P4 >= 0), cost: 1
  10: __init -> f115_0_main_EQ : arg1'=arg1P0, arg2'=arg2P0, (arg1P5 > 0 /\ arg1P0 > 0 /\ 1+arg2P5 > 0), cost: 2


Eliminating location f115_0_main_EQ\' by chaining:

Applied chaining
First rule:
f115_0_main_EQ -> f115_0_main_EQ\' : arg2'=arg2P1, (arg1 > 0 /\ -1+arg1-2*x60 == 0), cost: 1
Second rule:
f115_0_main_EQ\' -> f115_0_main_EQ : arg1'=-1+arg1, arg2'=arg2P2, (arg1 > 0 /\ -1+arg1-2*x80 == 0), cost: 1
New rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=-1+arg1, arg2'=arg2P2, (arg1 > 0 /\ -1+arg1-2*x60 == 0 /\ -1+arg1-2*x80 == 0), cost: 2

Applied chaining
First rule:
f115_0_main_EQ -> f115_0_main_EQ\' : arg2'=arg2P3, (arg1 > 0 /\ arg1-2*x100 == 0), cost: 1
Second rule:
f115_0_main_EQ\' -> f115_0_main_EQ : arg1'=arg1P4, arg2'=arg2P4, (arg1-arg1P4 > 0 /\ 2-arg1+2*arg1P4 > 0 /\ arg1-2*x140 == 0 /\ arg1-2*arg1P4 >= 0), cost: 1
New rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=arg1P4, arg2'=arg2P4, (arg1 > 0 /\ arg1-2*x100 == 0 /\ arg1-arg1P4 > 0 /\ 2-arg1+2*arg1P4 > 0 /\ arg1-2*x140 == 0 /\ arg1-2*arg1P4 >= 0), cost: 2

Applied simplification
Original rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=arg1P4, arg2'=arg2P4, (arg1 > 0 /\ arg1-2*x100 == 0 /\ arg1-arg1P4 > 0 /\ 2-arg1+2*arg1P4 > 0 /\ arg1-2*x140 == 0 /\ arg1-2*arg1P4 >= 0), cost: 2
New rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=arg1P4, arg2'=arg2P4, (arg1-2*x100 == 0 /\ arg1-arg1P4 > 0 /\ 2-arg1+2*arg1P4 > 0 /\ arg1-2*x140 == 0 /\ arg1-2*arg1P4 >= 0), cost: 2

Applied deletion
Removed the following rules: 6 7 8 9

Eliminated locations on tree-shaped paths
Start location: __init
  11: f115_0_main_EQ -> f115_0_main_EQ : arg1'=-1+arg1, arg2'=arg2P2, (arg1 > 0 /\ -1+arg1-2*x60 == 0 /\ -1+arg1-2*x80 == 0), cost: 2
  12: f115_0_main_EQ -> f115_0_main_EQ : arg1'=arg1P4, arg2'=arg2P4, (arg1-2*x100 == 0 /\ arg1-arg1P4 > 0 /\ 2-arg1+2*arg1P4 > 0 /\ arg1-2*x140 == 0 /\ arg1-2*arg1P4 >= 0), cost: 2
  10: __init -> f115_0_main_EQ : arg1'=arg1P0, arg2'=arg2P0, (arg1P5 > 0 /\ arg1P0 > 0 /\ 1+arg2P5 > 0), cost: 2


Applied acceleration
Original rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=-1+arg1, arg2'=arg2P2, (arg1 > 0 /\ -1+arg1-2*x60 == 0 /\ -1+arg1-2*x80 == 0), cost: 2
New rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=arg1-n1, arg2'=arg2P2, (1+arg1-n1 > 0 /\ arg1-2*x80-n1 >= 0 /\ 1-arg1+2*x60 >= 0 /\ -1+arg1-2*x60 >= 0 /\ -1+n1 >= 0 /\ arg1-2*x60-n1 >= 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*n1

Applied instantiation
Original rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=arg1-n1, arg2'=arg2P2, (1+arg1-n1 > 0 /\ arg1-2*x80-n1 >= 0 /\ 1-arg1+2*x60 >= 0 /\ -1+arg1-2*x60 >= 0 /\ -1+n1 >= 0 /\ arg1-2*x60-n1 >= 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*n1
New rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=0, arg2'=arg2P2, (1 > 0 /\ -1+arg1 >= 0 /\ -2*x80 >= 0 /\ 1-arg1+2*x60 >= 0 /\ -1+arg1-2*x60 >= 0 /\ -2*x60 >= 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*arg1

Applied instantiation
Original rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=arg1-n1, arg2'=arg2P2, (1+arg1-n1 > 0 /\ arg1-2*x80-n1 >= 0 /\ 1-arg1+2*x60 >= 0 /\ -1+arg1-2*x60 >= 0 /\ -1+n1 >= 0 /\ arg1-2*x60-n1 >= 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*n1
New rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=2*x80, arg2'=arg2P2, (0 >= 0 /\ 1-arg1+2*x60 >= 0 /\ -1+arg1-2*x60 >= 0 /\ 2*x80-2*x60 >= 0 /\ 1+2*x80 > 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*arg1-4*x80

Applied instantiation
Original rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=arg1-n1, arg2'=arg2P2, (1+arg1-n1 > 0 /\ arg1-2*x80-n1 >= 0 /\ 1-arg1+2*x60 >= 0 /\ -1+arg1-2*x60 >= 0 /\ -1+n1 >= 0 /\ arg1-2*x60-n1 >= 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*n1
New rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=2*x60, arg2'=arg2P2, (0 >= 0 /\ -2*x80+2*x60 >= 0 /\ 1+2*x60 > 0 /\ 1-arg1+2*x60 >= 0 /\ -1+arg1-2*x60 >= 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*arg1-4*x60

Applied simplification
Original rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=0, arg2'=arg2P2, (1 > 0 /\ -1+arg1 >= 0 /\ -2*x80 >= 0 /\ 1-arg1+2*x60 >= 0 /\ -1+arg1-2*x60 >= 0 /\ -2*x60 >= 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*arg1
New rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=0, arg2'=arg2P2, (-1+arg1 >= 0 /\ 1-arg1+2*x60 >= 0 /\ x60 <= 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*arg1

Applied simplification
Original rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=2*x80, arg2'=arg2P2, (0 >= 0 /\ 1-arg1+2*x60 >= 0 /\ -1+arg1-2*x60 >= 0 /\ 2*x80-2*x60 >= 0 /\ 1+2*x80 > 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*arg1-4*x80
New rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=2*x80, arg2'=arg2P2, (1-arg1+2*x60 >= 0 /\ 2*x80-2*x60 >= 0 /\ 1+2*x80 > 0 /\ -1+arg1-2*x80 >= 0), cost: 2*arg1-4*x80

Applied simplification
Original rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=2*x60, arg2'=arg2P2, (0 >= 0 /\ -2*x80+2*x60 >= 0 /\ 1+2*x60 > 0 /\ 1-arg1+2*x60 >= 0 /\ -1+arg1-2*x60 >= 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*arg1-4*x60
New rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=2*x60, arg2'=arg2P2, (1+2*x60 > 0 /\ 1-arg1+2*x60 >= 0 /\ -1+arg1-2*x60 >= 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*arg1-4*x60

Applied deletion
Removed the following rules: 11

Accelerated simple loops
Start location: __init
  12: f115_0_main_EQ -> f115_0_main_EQ : arg1'=arg1P4, arg2'=arg2P4, (arg1-2*x100 == 0 /\ arg1-arg1P4 > 0 /\ 2-arg1+2*arg1P4 > 0 /\ arg1-2*x140 == 0 /\ arg1-2*arg1P4 >= 0), cost: 2
  16: f115_0_main_EQ -> f115_0_main_EQ : arg1'=0, arg2'=arg2P2, (-1+arg1 >= 0 /\ 1-arg1+2*x60 >= 0 /\ x60 <= 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*arg1
  17: f115_0_main_EQ -> f115_0_main_EQ : arg1'=2*x80, arg2'=arg2P2, (1-arg1+2*x60 >= 0 /\ 2*x80-2*x60 >= 0 /\ 1+2*x80 > 0 /\ -1+arg1-2*x80 >= 0), cost: 2*arg1-4*x80
  18: f115_0_main_EQ -> f115_0_main_EQ : arg1'=2*x60, arg2'=arg2P2, (1+2*x60 > 0 /\ 1-arg1+2*x60 >= 0 /\ -1+arg1-2*x60 >= 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*arg1-4*x60
  10: __init -> f115_0_main_EQ : arg1'=arg1P0, arg2'=arg2P0, (arg1P5 > 0 /\ arg1P0 > 0 /\ 1+arg2P5 > 0), cost: 2


Applied chaining
First rule:
__init -> f115_0_main_EQ : arg1'=arg1P0, arg2'=arg2P0, (arg1P5 > 0 /\ arg1P0 > 0 /\ 1+arg2P5 > 0), cost: 2
Second rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=arg1P4, arg2'=arg2P4, (arg1-2*x100 == 0 /\ arg1-arg1P4 > 0 /\ 2-arg1+2*arg1P4 > 0 /\ arg1-2*x140 == 0 /\ arg1-2*arg1P4 >= 0), cost: 2
New rule:
__init -> f115_0_main_EQ : arg1'=arg1P4, arg2'=arg2P4, (-2*arg1P4+2*x140 >= 0 /\ -arg1P4+2*x140 > 0 /\ 2+2*arg1P4-2*x140 > 0), cost: 4

Applied chaining
First rule:
__init -> f115_0_main_EQ : arg1'=arg1P0, arg2'=arg2P0, (arg1P5 > 0 /\ arg1P0 > 0 /\ 1+arg2P5 > 0), cost: 2
Second rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=0, arg2'=arg2P2, (-1+arg1 >= 0 /\ 1-arg1+2*x60 >= 0 /\ x60 <= 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*arg1
New rule:
__init -> f115_0_main_EQ : arg1'=0, arg2'=arg2P2, (-2*x80+2*x60 >= 0 /\ x60 <= 0 /\ 1+2*x80 > 0), cost: 4+4*x80

Applied chaining
First rule:
__init -> f115_0_main_EQ : arg1'=arg1P0, arg2'=arg2P0, (arg1P5 > 0 /\ arg1P0 > 0 /\ 1+arg2P5 > 0), cost: 2
Second rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=2*x80, arg2'=arg2P2, (1-arg1+2*x60 >= 0 /\ 2*x80-2*x60 >= 0 /\ 1+2*x80 > 0 /\ -1+arg1-2*x80 >= 0), cost: 2*arg1-4*x80
New rule:
__init -> f115_0_main_EQ : arg1'=2*x80, arg2'=arg2P2, (-1+arg1P0-2*x80 >= 0 /\ 1-arg1P0+2*x60 >= 0 /\ 2*x80-2*x60 >= 0 /\ 1+2*x80 > 0), cost: 2+2*arg1P0-4*x80

Applied chaining
First rule:
__init -> f115_0_main_EQ : arg1'=arg1P0, arg2'=arg2P0, (arg1P5 > 0 /\ arg1P0 > 0 /\ 1+arg2P5 > 0), cost: 2
Second rule:
f115_0_main_EQ -> f115_0_main_EQ : arg1'=2*x60, arg2'=arg2P2, (1+2*x60 > 0 /\ 1-arg1+2*x60 >= 0 /\ -1+arg1-2*x60 >= 0 /\ 1-arg1+2*x80 >= 0 /\ -1+arg1-2*x80 >= 0), cost: 2*arg1-4*x60
New rule:
__init -> f115_0_main_EQ : arg1'=2*x60, arg2'=arg2P2, 1+2*x60 > 0, cost: 4

Applied deletion
Removed the following rules: 12 16 17 18

Chained accelerated rules with incoming rules
Start location: __init
  10: __init -> f115_0_main_EQ : arg1'=arg1P0, arg2'=arg2P0, (arg1P5 > 0 /\ arg1P0 > 0 /\ 1+arg2P5 > 0), cost: 2
  19: __init -> f115_0_main_EQ : arg1'=arg1P4, arg2'=arg2P4, (-2*arg1P4+2*x140 >= 0 /\ -arg1P4+2*x140 > 0 /\ 2+2*arg1P4-2*x140 > 0), cost: 4
  20: __init -> f115_0_main_EQ : arg1'=0, arg2'=arg2P2, (-2*x80+2*x60 >= 0 /\ x60 <= 0 /\ 1+2*x80 > 0), cost: 4+4*x80
  21: __init -> f115_0_main_EQ : arg1'=2*x80, arg2'=arg2P2, (-1+arg1P0-2*x80 >= 0 /\ 1-arg1P0+2*x60 >= 0 /\ 2*x80-2*x60 >= 0 /\ 1+2*x80 > 0), cost: 2+2*arg1P0-4*x80
  22: __init -> f115_0_main_EQ : arg1'=2*x60, arg2'=arg2P2, 1+2*x60 > 0, cost: 4


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