WORST_CASE(Omega(1),?)

### Pre-processing the ITS problem ###

Initial linear ITS problem
   Start location: __init
      0: f1_0_main_Load -> f87_0_flip_LE : arg1'=arg1P_1, arg2'=arg2P_1, [ 5+arg2>arg2 && arg2>-1 && arg1>0 && 5+arg2==arg1P_1 && arg2==arg2P_1 ], cost: 1
      1: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1>0 && -1+arg1<arg1 && arg1==arg2 && arg1==arg1P_2 && -1+arg1==arg2P_2 ], cost: 1
      2: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg1P_3, arg2'=arg2P_3, [ arg2>arg1 && arg1>0 && arg2>1 && arg2==arg1P_3 && arg2==arg2P_3 ], cost: 1
      3: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg1P_4, arg2'=arg2P_4, [ arg2>0 && arg2<arg1 && arg1>1 && arg2==arg1P_4 && arg1==arg2P_4 ], cost: 1
      4: __init -> f1_0_main_Load : arg1'=arg1P_5, arg2'=arg2P_5, [], cost: 1

Checking for constant complexity:
   The following rule is satisfiable with cost >= 1, yielding constant complexity:
      4: __init -> f1_0_main_Load : arg1'=arg1P_5, arg2'=arg2P_5, [], cost: 1

Simplified all rules, resulting in:
   Start location: __init
      0: f1_0_main_Load -> f87_0_flip_LE : arg1'=5+arg2, [ arg2>-1 && arg1>0 ], cost: 1
      1: f87_0_flip_LE -> f87_0_flip_LE : arg2'=-1+arg1, [ arg1>0 && arg1==arg2 ], cost: 1
      2: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg2, [ arg2>arg1 && arg1>0 ], cost: 1
      3: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg2, arg2'=arg1, [ arg2>0 && arg2<arg1 ], cost: 1
      4: __init -> f1_0_main_Load : arg1'=arg1P_5, arg2'=arg2P_5, [], cost: 1

### Simplification by acceleration and chaining ###

Accelerating simple loops of location 1.
   Accelerating the following rules:
      1: f87_0_flip_LE -> f87_0_flip_LE : arg2'=-1+arg1, [ arg1>0 && arg1==arg2 ], cost: 1
      2: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg2, [ arg2>arg1 && arg1>0 ], cost: 1
      3: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg2, arg2'=arg1, [ arg2>0 && arg2<arg1 ], cost: 1

   Failed to prove monotonicity of the guard of rule 1.
   Failed to prove monotonicity of the guard of rule 2.
   Failed to prove monotonicity of the guard of rule 3.
[accelerate] Nesting with 3 inner and 3 outer candidates

Accelerated all simple loops using metering functions (where possible):
   Start location: __init
      0: f1_0_main_Load -> f87_0_flip_LE : arg1'=5+arg2, [ arg2>-1 && arg1>0 ], cost: 1
      1: f87_0_flip_LE -> f87_0_flip_LE : arg2'=-1+arg1, [ arg1>0 && arg1==arg2 ], cost: 1
      2: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg2, [ arg2>arg1 && arg1>0 ], cost: 1
      3: f87_0_flip_LE -> f87_0_flip_LE : arg1'=arg2, arg2'=arg1, [ arg2>0 && arg2<arg1 ], cost: 1
      4: __init -> f1_0_main_Load : arg1'=arg1P_5, arg2'=arg2P_5, [], cost: 1

Chained accelerated rules (with incoming rules):
   Start location: __init
      0: f1_0_main_Load -> f87_0_flip_LE : arg1'=5+arg2, [ arg2>-1 && arg1>0 ], cost: 1
      5: f1_0_main_Load -> f87_0_flip_LE : arg1'=arg2, arg2'=5+arg2, [ arg1>0 && arg2>0 ], cost: 2
      4: __init -> f1_0_main_Load : arg1'=arg1P_5, arg2'=arg2P_5, [], cost: 1

Removed unreachable locations (and leaf rules with constant cost):
   Start location: __init
     <empty>

### Computing asymptotic complexity ###

Fully simplified ITS problem
   Start location: __init
     <empty>

Obtained the following overall complexity (w.r.t. the length of the input n):
   Complexity:  Constant
   Cpx degree:  0
   Solved cost: 1
   Rule cost:   1
   Rule guard:  []

WORST_CASE(Omega(1),?)