WORST_CASE(Omega(0),?)

Initial ITS
Start location: __init
   0: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, arg4'=arg4P0, (arg1 > 0 /\ -arg2 == 0 /\ -arg1P0 == 0 /\ -arg3P0 == 0 /\ -arg2P0 == 0 /\ -arg4P0 == 0), cost: 1
   1: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ -arg2P1 == 0 /\ 1+arg1P1 > 0 /\ 1-arg3P1 == 0 /\ 1-arg2 == 0 /\ 1-arg4P1 == 0), cost: 1
   2: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, arg4'=arg4P2, (arg1 > 0 /\ 2-arg4P2 == 0 /\ 1+arg2P2 > 0 /\ -1+arg2 > 0 /\ 1+arg1P2 > 0 /\ -arg3P2+arg2 == 0), cost: 1
   3: f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (-1+arg1-arg2P3 == 0 /\ arg3-arg3P3 == 0 /\ arg2 > 0 /\ -1+arg1-arg1P3 == 0 /\ -1 < 0 /\ -arg4P3+arg4 == 0 /\ -arg3+arg4 >= 0 /\ 1+arg3 > 0), cost: 1
   4: f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (arg3 > 0 /\ 1+arg4 > 0 /\ 1-arg4P4+arg4 == 0 /\ -1+arg1-x150-arg2P4 == 0 /\ 1+x150 > 0 /\ arg2 > 0 /\ -1+arg1-x150-arg1P4 == 0 /\ arg3-arg3P4 == 0 /\ -arg3+arg4 < 0 /\ 1-arg3+arg4 <= 0), cost: 1
   5: __init -> f1_0_main_Load : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, arg4'=arg4P5, TRUE, cost: 1


Applied preprocessing
Original rule:
f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, arg4'=arg4P0, (arg1 > 0 /\ -arg2 == 0 /\ -arg1P0 == 0 /\ -arg3P0 == 0 /\ -arg2P0 == 0 /\ -arg4P0 == 0), cost: 1
New rule:
f1_0_main_Load -> f577_0_loop_LE : arg1'=0, arg3'=0, arg2'=0, arg4'=0, (arg1 > 0 /\ arg2 == 0), cost: 1

Applied preprocessing
Original rule:
f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ -arg2P1 == 0 /\ 1+arg1P1 > 0 /\ 1-arg3P1 == 0 /\ 1-arg2 == 0 /\ 1-arg4P1 == 0), cost: 1
New rule:
f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P1, arg3'=1, arg2'=0, arg4'=1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ -1+arg2 == 0), cost: 1

Applied preprocessing
Original rule:
f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, arg4'=arg4P2, (arg1 > 0 /\ 2-arg4P2 == 0 /\ 1+arg2P2 > 0 /\ -1+arg2 > 0 /\ 1+arg1P2 > 0 /\ -arg3P2+arg2 == 0), cost: 1
New rule:
f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P2, arg3'=arg2, arg2'=arg2P2, arg4'=2, (arg1 > 0 /\ 1+arg2P2 > 0 /\ -1+arg2 > 0 /\ 1+arg1P2 > 0), cost: 1

Applied preprocessing
Original rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (-1+arg1-arg2P3 == 0 /\ arg3-arg3P3 == 0 /\ arg2 > 0 /\ -1+arg1-arg1P3 == 0 /\ -1 < 0 /\ -arg4P3+arg4 == 0 /\ -arg3+arg4 >= 0 /\ 1+arg3 > 0), cost: 1
New rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=-1+arg1, arg2'=-1+arg1, (arg2 > 0 /\ -arg3+arg4 >= 0 /\ 1+arg3 > 0), cost: 1

Applied preprocessing
Original rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (arg3 > 0 /\ 1+arg4 > 0 /\ 1-arg4P4+arg4 == 0 /\ -1+arg1-x150-arg2P4 == 0 /\ 1+x150 > 0 /\ arg2 > 0 /\ -1+arg1-x150-arg1P4 == 0 /\ arg3-arg3P4 == 0 /\ -arg3+arg4 < 0 /\ 1-arg3+arg4 <= 0), cost: 1
New rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=-1+arg1-x150, arg2'=-1+arg1-x150, arg4'=1+arg4, (1+arg4 > 0 /\ 1+x150 > 0 /\ arg2 > 0 /\ 1-arg3+arg4 <= 0), cost: 1

Simplified rules
Start location: __init
   6: f1_0_main_Load -> f577_0_loop_LE : arg1'=0, arg3'=0, arg2'=0, arg4'=0, (arg1 > 0 /\ arg2 == 0), cost: 1
   7: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P1, arg3'=1, arg2'=0, arg4'=1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ -1+arg2 == 0), cost: 1
   8: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P2, arg3'=arg2, arg2'=arg2P2, arg4'=2, (arg1 > 0 /\ 1+arg2P2 > 0 /\ -1+arg2 > 0 /\ 1+arg1P2 > 0), cost: 1
   9: f577_0_loop_LE -> f577_0_loop_LE : arg1'=-1+arg1, arg2'=-1+arg1, (arg2 > 0 /\ -arg3+arg4 >= 0 /\ 1+arg3 > 0), cost: 1
  10: f577_0_loop_LE -> f577_0_loop_LE : arg1'=-1+arg1-x150, arg2'=-1+arg1-x150, arg4'=1+arg4, (1+arg4 > 0 /\ 1+x150 > 0 /\ arg2 > 0 /\ 1-arg3+arg4 <= 0), cost: 1
   5: __init -> f1_0_main_Load : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, arg4'=arg4P5, TRUE, cost: 1


Applied acceleration
Original rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=-1+arg1, arg2'=-1+arg1, (arg2 > 0 /\ -arg3+arg4 >= 0 /\ 1+arg3 > 0), cost: 1
New rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1-n1, arg2'=arg1-n1, (1+arg1-n1 > 0 /\ arg2 > 0 /\ -1+n1 >= 0 /\ -arg3+arg4 >= 0 /\ 1+arg3 > 0), cost: n1

Applied instantiation
Original rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1-n1, arg2'=arg1-n1, (1+arg1-n1 > 0 /\ arg2 > 0 /\ -1+n1 >= 0 /\ -arg3+arg4 >= 0 /\ 1+arg3 > 0), cost: n1
New rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=0, arg2'=0, (1 > 0 /\ -1+arg1 >= 0 /\ arg2 > 0 /\ -arg3+arg4 >= 0 /\ 1+arg3 > 0), cost: arg1

Applied acceleration
Original rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=-1+arg1-x150, arg2'=-1+arg1-x150, arg4'=1+arg4, (1+arg4 > 0 /\ 1+x150 > 0 /\ arg2 > 0 /\ 1-arg3+arg4 <= 0), cost: 1
New rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1-x150*n3-n3, arg2'=arg1-x150-n3-x150*(-1+n3), arg4'=n3+arg4, (1+arg4 > 0 /\ -1+n3 >= 0 /\ arg3-n3-arg4 >= 0 /\ 1+arg1-x150-x150*(-2+n3)-n3 > 0 /\ 1+x150 > 0 /\ arg2 > 0), cost: n3

Applied instantiation
Original rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1-x150*n3-n3, arg2'=arg1-x150-n3-x150*(-1+n3), arg4'=n3+arg4, (1+arg4 > 0 /\ -1+n3 >= 0 /\ arg3-n3-arg4 >= 0 /\ 1+arg1-x150-x150*(-2+n3)-n3 > 0 /\ 1+x150 > 0 /\ arg2 > 0), cost: n3
New rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=0, arg2'=0, arg4'=arg1+arg4, (1 > 0 /\ 1+arg4 > 0 /\ -1+arg1 >= 0 /\ arg2 > 0 /\ -arg1+arg3-arg4 >= 0), cost: arg1

Applied instantiation
Original rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1-x150*n3-n3, arg2'=arg1-x150-n3-x150*(-1+n3), arg4'=n3+arg4, (1+arg4 > 0 /\ -1+n3 >= 0 /\ arg3-n3-arg4 >= 0 /\ 1+arg1-x150-x150*(-2+n3)-n3 > 0 /\ 1+x150 > 0 /\ arg2 > 0), cost: n3
New rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1-arg3+arg4, arg2'=arg1-arg3+arg4, arg4'=arg3, (0 >= 0 /\ 1 > 0 /\ 1+arg4 > 0 /\ -1+arg3-arg4 >= 0 /\ 1+arg1-arg3+arg4 > 0 /\ arg2 > 0), cost: arg3-arg4

Applied simplification
Original rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=0, arg2'=0, (1 > 0 /\ -1+arg1 >= 0 /\ arg2 > 0 /\ -arg3+arg4 >= 0 /\ 1+arg3 > 0), cost: arg1
New rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=0, arg2'=0, (-1+arg1 >= 0 /\ arg2 > 0 /\ -arg3+arg4 >= 0 /\ 1+arg3 > 0), cost: arg1

Applied simplification
Original rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=0, arg2'=0, arg4'=arg1+arg4, (1 > 0 /\ 1+arg4 > 0 /\ -1+arg1 >= 0 /\ arg2 > 0 /\ -arg1+arg3-arg4 >= 0), cost: arg1
New rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=0, arg2'=0, arg4'=arg1+arg4, (1+arg4 > 0 /\ -1+arg1 >= 0 /\ arg2 > 0 /\ -arg1+arg3-arg4 >= 0), cost: arg1

Applied simplification
Original rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1-arg3+arg4, arg2'=arg1-arg3+arg4, arg4'=arg3, (0 >= 0 /\ 1 > 0 /\ 1+arg4 > 0 /\ -1+arg3-arg4 >= 0 /\ 1+arg1-arg3+arg4 > 0 /\ arg2 > 0), cost: arg3-arg4
New rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1-arg3+arg4, arg2'=arg1-arg3+arg4, arg4'=arg3, (1+arg4 > 0 /\ -1+arg3-arg4 >= 0 /\ 1+arg1-arg3+arg4 > 0 /\ arg2 > 0), cost: arg3-arg4

Applied deletion
Removed the following rules: 9 10

Accelerated simple loops
Start location: __init
   6: f1_0_main_Load -> f577_0_loop_LE : arg1'=0, arg3'=0, arg2'=0, arg4'=0, (arg1 > 0 /\ arg2 == 0), cost: 1
   7: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P1, arg3'=1, arg2'=0, arg4'=1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ -1+arg2 == 0), cost: 1
   8: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P2, arg3'=arg2, arg2'=arg2P2, arg4'=2, (arg1 > 0 /\ 1+arg2P2 > 0 /\ -1+arg2 > 0 /\ 1+arg1P2 > 0), cost: 1
  14: f577_0_loop_LE -> f577_0_loop_LE : arg1'=0, arg2'=0, (-1+arg1 >= 0 /\ arg2 > 0 /\ -arg3+arg4 >= 0 /\ 1+arg3 > 0), cost: arg1
  15: f577_0_loop_LE -> f577_0_loop_LE : arg1'=0, arg2'=0, arg4'=arg1+arg4, (1+arg4 > 0 /\ -1+arg1 >= 0 /\ arg2 > 0 /\ -arg1+arg3-arg4 >= 0), cost: arg1
  16: f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1-arg3+arg4, arg2'=arg1-arg3+arg4, arg4'=arg3, (1+arg4 > 0 /\ -1+arg3-arg4 >= 0 /\ 1+arg1-arg3+arg4 > 0 /\ arg2 > 0), cost: arg3-arg4
   5: __init -> f1_0_main_Load : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, arg4'=arg4P5, TRUE, cost: 1


Applied chaining
First rule:
f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P2, arg3'=arg2, arg2'=arg2P2, arg4'=2, (arg1 > 0 /\ 1+arg2P2 > 0 /\ -1+arg2 > 0 /\ 1+arg1P2 > 0), cost: 1
Second rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=0, arg2'=0, (-1+arg1 >= 0 /\ arg2 > 0 /\ -arg3+arg4 >= 0 /\ 1+arg3 > 0), cost: arg1
New rule:
f1_0_main_Load -> f577_0_loop_LE : arg1'=0, arg3'=arg2, arg2'=0, arg4'=2, (arg1 > 0 /\ -1+arg1P2 >= 0 /\ -2+arg2 == 0), cost: 1+arg1P2

Applied chaining
First rule:
f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P2, arg3'=arg2, arg2'=arg2P2, arg4'=2, (arg1 > 0 /\ 1+arg2P2 > 0 /\ -1+arg2 > 0 /\ 1+arg1P2 > 0), cost: 1
Second rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=0, arg2'=0, arg4'=arg1+arg4, (1+arg4 > 0 /\ -1+arg1 >= 0 /\ arg2 > 0 /\ -arg1+arg3-arg4 >= 0), cost: arg1
New rule:
f1_0_main_Load -> f577_0_loop_LE : arg1'=0, arg3'=arg2, arg2'=0, arg4'=2+arg1P2, (arg1 > 0 /\ -1+arg1P2 >= 0 /\ -2-arg1P2+arg2 >= 0), cost: 1+arg1P2

Applied chaining
First rule:
f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P2, arg3'=arg2, arg2'=arg2P2, arg4'=2, (arg1 > 0 /\ 1+arg2P2 > 0 /\ -1+arg2 > 0 /\ 1+arg1P2 > 0), cost: 1
Second rule:
f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1-arg3+arg4, arg2'=arg1-arg3+arg4, arg4'=arg3, (1+arg4 > 0 /\ -1+arg3-arg4 >= 0 /\ 1+arg1-arg3+arg4 > 0 /\ arg2 > 0), cost: arg3-arg4
New rule:
f1_0_main_Load -> f577_0_loop_LE : arg1'=2+arg1P2-arg2, arg3'=arg2, arg2'=2+arg1P2-arg2, arg4'=arg2, (arg1 > 0 /\ -3+arg2 >= 0 /\ 3+arg1P2-arg2 > 0), cost: -1+arg2

Applied deletion
Removed the following rules: 14 15 16

Chained accelerated rules with incoming rules
Start location: __init
   6: f1_0_main_Load -> f577_0_loop_LE : arg1'=0, arg3'=0, arg2'=0, arg4'=0, (arg1 > 0 /\ arg2 == 0), cost: 1
   7: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P1, arg3'=1, arg2'=0, arg4'=1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ -1+arg2 == 0), cost: 1
   8: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P2, arg3'=arg2, arg2'=arg2P2, arg4'=2, (arg1 > 0 /\ 1+arg2P2 > 0 /\ -1+arg2 > 0 /\ 1+arg1P2 > 0), cost: 1
  17: f1_0_main_Load -> f577_0_loop_LE : arg1'=0, arg3'=arg2, arg2'=0, arg4'=2, (arg1 > 0 /\ -1+arg1P2 >= 0 /\ -2+arg2 == 0), cost: 1+arg1P2
  18: f1_0_main_Load -> f577_0_loop_LE : arg1'=0, arg3'=arg2, arg2'=0, arg4'=2+arg1P2, (arg1 > 0 /\ -1+arg1P2 >= 0 /\ -2-arg1P2+arg2 >= 0), cost: 1+arg1P2
  19: f1_0_main_Load -> f577_0_loop_LE : arg1'=2+arg1P2-arg2, arg3'=arg2, arg2'=2+arg1P2-arg2, arg4'=arg2, (arg1 > 0 /\ -3+arg2 >= 0 /\ 3+arg1P2-arg2 > 0), cost: -1+arg2
   5: __init -> f1_0_main_Load : arg1'=arg1P5, arg3'=arg3P5, 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