WORST_CASE(Omega(1),?)

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

Initial linear ITS problem
   Start location: __init
      0: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P_1, arg2'=arg2P_1, [ arg2>-1 && x2_1>-1 && arg1>0 && arg1==arg1P_1 && arg2==arg2P_1 ], cost: 1
      1: f1_0_main_Load\' -> f80_0_main_EQ : arg1'=arg1P_2, arg2'=arg2P_2, [ arg2>-1 && arg1P_2>-1 && arg1>0 && -3*x8_1+arg1P_2<3 && -3*x8_1+arg1P_2>=0 && -3*x8_1+arg1P_2==arg2P_2 ], cost: 1
      2: f80_0_main_EQ -> f80_0_main_EQ\' : arg1'=arg1P_3, arg2'=arg2P_3, [ arg2>0 && arg1==arg1P_3 && arg2==arg2P_3 ], cost: 1
      3: f80_0_main_EQ\' -> f80_0_main_EQ : arg1'=arg1P_4, arg2'=arg2P_4, [ arg2>0 && 1-3*x11_1+arg1<3 && 1-3*x11_1+arg1>=0 && 1+arg1==arg1P_4 && 1-3*x11_1+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 -> f1_0_main_Load\' : [ arg2>-1 && arg1>0 ], cost: 1
      1: f1_0_main_Load\' -> f80_0_main_EQ : arg1'=arg1P_2, arg2'=-3*x8_1+arg1P_2, [ arg2>-1 && arg1P_2>-1 && arg1>0 && -3*x8_1+arg1P_2<3 && -3*x8_1+arg1P_2>=0 ], cost: 1
      2: f80_0_main_EQ -> f80_0_main_EQ\' : [ arg2>0 ], cost: 1
      3: f80_0_main_EQ\' -> f80_0_main_EQ : arg1'=1+arg1, arg2'=1-3*x11_1+arg1, [ arg2>0 && 1-3*x11_1+arg1<3 && 1-3*x11_1+arg1>=0 ], cost: 1
      4: __init -> f1_0_main_Load : arg1'=arg1P_5, arg2'=arg2P_5, [], cost: 1

### Simplification by acceleration and chaining ###

Eliminated locations (on linear paths):
   Start location: __init
      7: f80_0_main_EQ -> f80_0_main_EQ : arg1'=1+arg1, arg2'=1-3*x11_1+arg1, [ arg2>0 && 1-3*x11_1+arg1<3 && 1-3*x11_1+arg1>=0 ], cost: 2
      6: __init -> f80_0_main_EQ : arg1'=arg1P_2, arg2'=-3*x8_1+arg1P_2, [ arg2P_5>-1 && arg1P_5>0 && arg1P_2>-1 && -3*x8_1+arg1P_2<3 && -3*x8_1+arg1P_2>=0 ], cost: 3

Accelerating simple loops of location 2.
   Accelerating the following rules:
      7: f80_0_main_EQ -> f80_0_main_EQ : arg1'=1+arg1, arg2'=1-3*x11_1+arg1, [ arg2>0 && 1-3*x11_1+arg1<3 && 1-3*x11_1+arg1>=0 ], cost: 2

[test] deduced pseudo-invariant -1+2*arg2+6*x11_1-2*arg1<=0, also trying 1-2*arg2-6*x11_1+2*arg1<=-1
   Failed to prove monotonicity of the guard of rule 7.
[accelerate] Nesting with 1 inner and 1 outer candidates

Accelerated all simple loops using metering functions (where possible):
   Start location: __init
      7: f80_0_main_EQ -> f80_0_main_EQ : arg1'=1+arg1, arg2'=1-3*x11_1+arg1, [ arg2>0 && 1-3*x11_1+arg1<3 && 1-3*x11_1+arg1>=0 ], cost: 2
      6: __init -> f80_0_main_EQ : arg1'=arg1P_2, arg2'=-3*x8_1+arg1P_2, [ arg2P_5>-1 && arg1P_5>0 && arg1P_2>-1 && -3*x8_1+arg1P_2<3 && -3*x8_1+arg1P_2>=0 ], cost: 3

Chained accelerated rules (with incoming rules):
   Start location: __init
      6: __init -> f80_0_main_EQ : arg1'=arg1P_2, arg2'=-3*x8_1+arg1P_2, [ arg2P_5>-1 && arg1P_5>0 && arg1P_2>-1 && -3*x8_1+arg1P_2<3 && -3*x8_1+arg1P_2>=0 ], cost: 3
      8: __init -> f80_0_main_EQ : arg1'=1+arg1P_2, arg2'=1-3*x11_1+arg1P_2, [ arg1P_2>-1 && -3*x8_1+arg1P_2<3 && -3*x8_1+arg1P_2>0 && 1-3*x11_1+arg1P_2<3 && 1-3*x11_1+arg1P_2>=0 ], cost: 5

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),?)