WORST_CASE(Omega(0),?)

Initial ITS
Start location: __init
   0: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, (arg1 > 0 /\ x230-200*arg2 <= 0 /\ arg1-arg1P0 == 0 /\ 1+arg2 > 0 /\ -arg2P0+arg2 == 0), cost: 1
   1: f1_0_main_Load\' -> f1870_0_rec_LE : arg1'=arg1P1, arg3'=arg3P1, arg5'=arg5P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ -arg3P1+100*arg2+arg2P1 == 0 /\ -13+200*arg2-13*arg2P1 < 0 /\ 200*arg2-13*arg2P1 >= 0 /\ -arg5P1 == 0 /\ 1+arg2 > 0 /\ 100*arg2-arg1P1 == 0 /\ -200*arg2+arg2P1 <= 0 /\ -arg4P1+arg2 == 0), cost: 1
   2: f1870_0_rec_LE -> f1870_0_rec_LE : arg1'=arg1P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (-1-arg2P2+arg2 == 0 /\ arg1-arg1P2 == 0 /\ arg3 > 0 /\ 1+arg4 > 0 /\ -1+arg1+arg2-arg3P2 == 0 /\ -arg5P2+arg5 == 0 /\ -arg4P2+arg4 == 0 /\ arg5-arg4 >= 0 /\ -1 < 0), cost: 1
   3: f1870_0_rec_LE -> f1870_0_rec_LE : arg1'=arg1P3, arg3'=arg3P3, arg5'=arg5P3, arg2'=arg2P3, arg4'=arg4P3, (-arg4P3+arg4 == 0 /\ -1+arg1-arg3P3+arg2 == 0 /\ arg3 > 0 /\ -9+x140*x130 <= 0 /\ 1+arg5 > 0 /\ arg1-arg1P3 == 0 /\ -1-arg2P3+arg2 == 0 /\ 1+x140 > 0 /\ 1+arg5-arg4 < 0 /\ 2+arg5-arg5P3 == 0 /\ 1+x130 > 0 /\ -1 < 0 /\ 2+arg5-arg4 <= 0 /\ -1+arg4 > 0), cost: 1
   4: f1870_0_rec_LE -> f1870_0_rec_LE : arg1'=arg1P4, arg3'=arg3P4, arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, (-1+arg1-arg1P4 == 0 /\ arg2-arg2P4 == 0 /\ arg3 > 0 /\ 1+x200 > 0 /\ 1+arg5 > 0 /\ 2+arg5-arg5P4 == 0 /\ -arg4P4+arg4 == 0 /\ -9+x210*x200 > 0 /\ 1+arg5-arg4 < 0 /\ -1 < 0 /\ 2+arg5-arg4 <= 0 /\ 1+x210 > 0 /\ -1+arg1+arg2-arg3P4 == 0 /\ -1+arg4 > 0), cost: 1
   5: __init -> f1_0_main_Load : arg1'=arg1P5, arg3'=arg3P5, arg5'=arg5P5, arg2'=arg2P5, arg4'=arg4P5, TRUE, cost: 1


Applied preprocessing
Original rule:
f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, (arg1 > 0 /\ x230-200*arg2 <= 0 /\ arg1-arg1P0 == 0 /\ 1+arg2 > 0 /\ -arg2P0+arg2 == 0), cost: 1
New rule:
f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P0, arg5'=arg5P0, arg4'=arg4P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1

Applied preprocessing
Original rule:
f1_0_main_Load\' -> f1870_0_rec_LE : arg1'=arg1P1, arg3'=arg3P1, arg5'=arg5P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ -arg3P1+100*arg2+arg2P1 == 0 /\ -13+200*arg2-13*arg2P1 < 0 /\ 200*arg2-13*arg2P1 >= 0 /\ -arg5P1 == 0 /\ 1+arg2 > 0 /\ 100*arg2-arg1P1 == 0 /\ -200*arg2+arg2P1 <= 0 /\ -arg4P1+arg2 == 0), cost: 1
New rule:
f1_0_main_Load\' -> f1870_0_rec_LE : arg1'=100*arg2, arg3'=100*arg2+arg2P1, arg5'=0, arg2'=arg2P1, arg4'=arg2, (arg1 > 0 /\ 200*arg2-13*arg2P1 >= 0 /\ 13-200*arg2+13*arg2P1 > 0 /\ -200*arg2+arg2P1 <= 0), cost: 1

Applied preprocessing
Original rule:
f1870_0_rec_LE -> f1870_0_rec_LE : arg1'=arg1P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (-1-arg2P2+arg2 == 0 /\ arg1-arg1P2 == 0 /\ arg3 > 0 /\ 1+arg4 > 0 /\ -1+arg1+arg2-arg3P2 == 0 /\ -arg5P2+arg5 == 0 /\ -arg4P2+arg4 == 0 /\ arg5-arg4 >= 0 /\ -1 < 0), cost: 1
New rule:
f1870_0_rec_LE -> f1870_0_rec_LE : arg3'=-1+arg1+arg2, arg2'=-1+arg2, (arg3 > 0 /\ 1+arg4 > 0 /\ arg5-arg4 >= 0), cost: 1

Applied preprocessing
Original rule:
f1870_0_rec_LE -> f1870_0_rec_LE : arg1'=arg1P3, arg3'=arg3P3, arg5'=arg5P3, arg2'=arg2P3, arg4'=arg4P3, (-arg4P3+arg4 == 0 /\ -1+arg1-arg3P3+arg2 == 0 /\ arg3 > 0 /\ -9+x140*x130 <= 0 /\ 1+arg5 > 0 /\ arg1-arg1P3 == 0 /\ -1-arg2P3+arg2 == 0 /\ 1+x140 > 0 /\ 1+arg5-arg4 < 0 /\ 2+arg5-arg5P3 == 0 /\ 1+x130 > 0 /\ -1 < 0 /\ 2+arg5-arg4 <= 0 /\ -1+arg4 > 0), cost: 1
New rule:
f1870_0_rec_LE -> f1870_0_rec_LE : arg3'=-1+arg1+arg2, arg5'=2+arg5, arg2'=-1+arg2, (arg3 > 0 /\ -9+x140*x130 <= 0 /\ 1+arg5 > 0 /\ 1+x140 > 0 /\ 1+x130 > 0 /\ 2+arg5-arg4 <= 0), cost: 1

Applied preprocessing
Original rule:
f1870_0_rec_LE -> f1870_0_rec_LE : arg1'=arg1P4, arg3'=arg3P4, arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, (-1+arg1-arg1P4 == 0 /\ arg2-arg2P4 == 0 /\ arg3 > 0 /\ 1+x200 > 0 /\ 1+arg5 > 0 /\ 2+arg5-arg5P4 == 0 /\ -arg4P4+arg4 == 0 /\ -9+x210*x200 > 0 /\ 1+arg5-arg4 < 0 /\ -1 < 0 /\ 2+arg5-arg4 <= 0 /\ 1+x210 > 0 /\ -1+arg1+arg2-arg3P4 == 0 /\ -1+arg4 > 0), cost: 1
New rule:
f1870_0_rec_LE -> f1870_0_rec_LE : arg1'=-1+arg1, arg3'=-1+arg1+arg2, arg5'=2+arg5, (arg3 > 0 /\ 1+arg5 > 0 /\ -9+x210*x200 > 0 /\ 2+arg5-arg4 <= 0 /\ 1+x210 > 0), cost: 1

Simplified rules
Start location: __init
   6: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P0, arg5'=arg5P0, arg4'=arg4P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1
   7: f1_0_main_Load\' -> f1870_0_rec_LE : arg1'=100*arg2, arg3'=100*arg2+arg2P1, arg5'=0, arg2'=arg2P1, arg4'=arg2, (arg1 > 0 /\ 200*arg2-13*arg2P1 >= 0 /\ 13-200*arg2+13*arg2P1 > 0 /\ -200*arg2+arg2P1 <= 0), cost: 1
   8: f1870_0_rec_LE -> f1870_0_rec_LE : arg3'=-1+arg1+arg2, arg2'=-1+arg2, (arg3 > 0 /\ 1+arg4 > 0 /\ arg5-arg4 >= 0), cost: 1
   9: f1870_0_rec_LE -> f1870_0_rec_LE : arg3'=-1+arg1+arg2, arg5'=2+arg5, arg2'=-1+arg2, (arg3 > 0 /\ -9+x140*x130 <= 0 /\ 1+arg5 > 0 /\ 1+x140 > 0 /\ 1+x130 > 0 /\ 2+arg5-arg4 <= 0), cost: 1
  10: f1870_0_rec_LE -> f1870_0_rec_LE : arg1'=-1+arg1, arg3'=-1+arg1+arg2, arg5'=2+arg5, (arg3 > 0 /\ 1+arg5 > 0 /\ -9+x210*x200 > 0 /\ 2+arg5-arg4 <= 0 /\ 1+x210 > 0), cost: 1
   5: __init -> f1_0_main_Load : arg1'=arg1P5, arg3'=arg3P5, arg5'=arg5P5, arg2'=arg2P5, arg4'=arg4P5, TRUE, cost: 1


Applied acceleration
Original rule:
f1870_0_rec_LE -> f1870_0_rec_LE : arg3'=-1+arg1+arg2, arg2'=-1+arg2, (arg3 > 0 /\ 1+arg4 > 0 /\ arg5-arg4 >= 0), cost: 1
New rule:
f1870_0_rec_LE -> f1870_0_rec_LE : arg3'=arg1-n2+arg2, arg2'=-n2+arg2, (arg3 > 0 /\ 1+arg4 > 0 /\ arg5-arg4 >= 0 /\ -1+n2 >= 0 /\ 1+arg1-n2+arg2 > 0), cost: n2

Applied instantiation
Original rule:
f1870_0_rec_LE -> f1870_0_rec_LE : arg3'=arg1-n2+arg2, arg2'=-n2+arg2, (arg3 > 0 /\ 1+arg4 > 0 /\ arg5-arg4 >= 0 /\ -1+n2 >= 0 /\ 1+arg1-n2+arg2 > 0), cost: n2
New rule:
f1870_0_rec_LE -> f1870_0_rec_LE : arg3'=0, arg2'=-arg1, (1 > 0 /\ arg3 > 0 /\ 1+arg4 > 0 /\ arg5-arg4 >= 0 /\ -1+arg1+arg2 >= 0), cost: arg1+arg2

Applied simplification
Original rule:
f1870_0_rec_LE -> f1870_0_rec_LE : arg3'=0, arg2'=-arg1, (1 > 0 /\ arg3 > 0 /\ 1+arg4 > 0 /\ arg5-arg4 >= 0 /\ -1+arg1+arg2 >= 0), cost: arg1+arg2
New rule:
f1870_0_rec_LE -> f1870_0_rec_LE : arg3'=0, arg2'=-arg1, (arg3 > 0 /\ 1+arg4 > 0 /\ arg5-arg4 >= 0 /\ -1+arg1+arg2 >= 0), cost: arg1+arg2

Applied deletion
Removed the following rules: 8

Accelerated simple loops
Start location: __init
   6: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P0, arg5'=arg5P0, arg4'=arg4P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1
   7: f1_0_main_Load\' -> f1870_0_rec_LE : arg1'=100*arg2, arg3'=100*arg2+arg2P1, arg5'=0, arg2'=arg2P1, arg4'=arg2, (arg1 > 0 /\ 200*arg2-13*arg2P1 >= 0 /\ 13-200*arg2+13*arg2P1 > 0 /\ -200*arg2+arg2P1 <= 0), cost: 1
   9: f1870_0_rec_LE -> f1870_0_rec_LE : arg3'=-1+arg1+arg2, arg5'=2+arg5, arg2'=-1+arg2, (arg3 > 0 /\ -9+x140*x130 <= 0 /\ 1+arg5 > 0 /\ 1+x140 > 0 /\ 1+x130 > 0 /\ 2+arg5-arg4 <= 0), cost: 1
  10: f1870_0_rec_LE -> f1870_0_rec_LE : arg1'=-1+arg1, arg3'=-1+arg1+arg2, arg5'=2+arg5, (arg3 > 0 /\ 1+arg5 > 0 /\ -9+x210*x200 > 0 /\ 2+arg5-arg4 <= 0 /\ 1+x210 > 0), cost: 1
  12: f1870_0_rec_LE -> f1870_0_rec_LE : arg3'=0, arg2'=-arg1, (arg3 > 0 /\ 1+arg4 > 0 /\ arg5-arg4 >= 0 /\ -1+arg1+arg2 >= 0), cost: arg1+arg2
   5: __init -> f1_0_main_Load : arg1'=arg1P5, arg3'=arg3P5, arg5'=arg5P5, arg2'=arg2P5, arg4'=arg4P5, TRUE, cost: 1


Applied chaining
First rule:
f1_0_main_Load\' -> f1870_0_rec_LE : arg1'=100*arg2, arg3'=100*arg2+arg2P1, arg5'=0, arg2'=arg2P1, arg4'=arg2, (arg1 > 0 /\ 200*arg2-13*arg2P1 >= 0 /\ 13-200*arg2+13*arg2P1 > 0 /\ -200*arg2+arg2P1 <= 0), cost: 1
Second rule:
f1870_0_rec_LE -> f1870_0_rec_LE : arg3'=-1+arg1+arg2, arg5'=2+arg5, arg2'=-1+arg2, (arg3 > 0 /\ -9+x140*x130 <= 0 /\ 1+arg5 > 0 /\ 1+x140 > 0 /\ 1+x130 > 0 /\ 2+arg5-arg4 <= 0), cost: 1
New rule:
f1_0_main_Load\' -> f1870_0_rec_LE : arg1'=100*arg2, arg3'=-1+100*arg2+arg2P1, arg5'=2, arg2'=-1+arg2P1, arg4'=arg2, (arg1 > 0 /\ 200*arg2-13*arg2P1 >= 0 /\ -9+x140*x130 <= 0 /\ -2+arg2 >= 0 /\ 1+x140 > 0 /\ 1+x130 > 0 /\ 13-200*arg2+13*arg2P1 > 0), cost: 2

Applied chaining
First rule:
f1_0_main_Load\' -> f1870_0_rec_LE : arg1'=100*arg2, arg3'=100*arg2+arg2P1, arg5'=0, arg2'=arg2P1, arg4'=arg2, (arg1 > 0 /\ 200*arg2-13*arg2P1 >= 0 /\ 13-200*arg2+13*arg2P1 > 0 /\ -200*arg2+arg2P1 <= 0), cost: 1
Second rule:
f1870_0_rec_LE -> f1870_0_rec_LE : arg1'=-1+arg1, arg3'=-1+arg1+arg2, arg5'=2+arg5, (arg3 > 0 /\ 1+arg5 > 0 /\ -9+x210*x200 > 0 /\ 2+arg5-arg4 <= 0 /\ 1+x210 > 0), cost: 1
New rule:
f1_0_main_Load\' -> f1870_0_rec_LE : arg1'=-1+100*arg2, arg3'=-1+100*arg2+arg2P1, arg5'=2, arg2'=arg2P1, arg4'=arg2, (arg1 > 0 /\ 200*arg2-13*arg2P1 >= 0 /\ -2+arg2 >= 0 /\ -9+x210*x200 > 0 /\ 13-200*arg2+13*arg2P1 > 0 /\ 1+x210 > 0), cost: 2

Applied deletion
Removed the following rules: 9 10 12

Chained accelerated rules with incoming rules
Start location: __init
   6: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P0, arg5'=arg5P0, arg4'=arg4P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1
   7: f1_0_main_Load\' -> f1870_0_rec_LE : arg1'=100*arg2, arg3'=100*arg2+arg2P1, arg5'=0, arg2'=arg2P1, arg4'=arg2, (arg1 > 0 /\ 200*arg2-13*arg2P1 >= 0 /\ 13-200*arg2+13*arg2P1 > 0 /\ -200*arg2+arg2P1 <= 0), cost: 1
  13: f1_0_main_Load\' -> f1870_0_rec_LE : arg1'=100*arg2, arg3'=-1+100*arg2+arg2P1, arg5'=2, arg2'=-1+arg2P1, arg4'=arg2, (arg1 > 0 /\ 200*arg2-13*arg2P1 >= 0 /\ -9+x140*x130 <= 0 /\ -2+arg2 >= 0 /\ 1+x140 > 0 /\ 1+x130 > 0 /\ 13-200*arg2+13*arg2P1 > 0), cost: 2
  14: f1_0_main_Load\' -> f1870_0_rec_LE : arg1'=-1+100*arg2, arg3'=-1+100*arg2+arg2P1, arg5'=2, arg2'=arg2P1, arg4'=arg2, (arg1 > 0 /\ 200*arg2-13*arg2P1 >= 0 /\ -2+arg2 >= 0 /\ -9+x210*x200 > 0 /\ 13-200*arg2+13*arg2P1 > 0 /\ 1+x210 > 0), cost: 2
   5: __init -> f1_0_main_Load : arg1'=arg1P5, arg3'=arg3P5, arg5'=arg5P5, arg2'=arg2P5, arg4'=arg4P5, 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