WORST_CASE(Omega(1),?)

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

Initial linear ITS problem
   Start location: __init
      0: f1_0_main_ConstantStackPush -> f58_0_main_GE : arg1'=arg1P_1, [ 0==arg1P_1 ], cost: 1
      1: f58_0_main_GE -> f58_0_main_GE : arg1'=arg1P_2, [ arg1<12 && arg1<20 && 1+arg1==arg1P_2 ], cost: 1
      2: f58_0_main_GE -> f58_0_main_GE : arg1'=arg1P_3, [ arg1>11 && arg1<20 && 1+arg1==arg1P_3 ], cost: 1
      3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P_4, [], cost: 1

Checking for constant complexity:
   The following rule is satisfiable with cost >= 1, yielding constant complexity:
      3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P_4, [], cost: 1

Simplified all rules, resulting in:
   Start location: __init
      0: f1_0_main_ConstantStackPush -> f58_0_main_GE : arg1'=0, [], cost: 1
      1: f58_0_main_GE -> f58_0_main_GE : arg1'=1+arg1, [ arg1<12 ], cost: 1
      2: f58_0_main_GE -> f58_0_main_GE : arg1'=1+arg1, [ arg1>11 && arg1<20 ], cost: 1
      3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P_4, [], cost: 1

### Simplification by acceleration and chaining ###

Accelerating simple loops of location 1.
   Accelerating the following rules:
      1: f58_0_main_GE -> f58_0_main_GE : arg1'=1+arg1, [ arg1<12 ], cost: 1
      2: f58_0_main_GE -> f58_0_main_GE : arg1'=1+arg1, [ arg1>11 && arg1<20 ], cost: 1

   Accelerated rule 1 with backward acceleration, yielding the new rule 4.
   Accelerated rule 2 with backward acceleration, yielding the new rule 5.
[accelerate] Nesting with 2 inner and 2 outer candidates
   Removing the simple loops: 1 2.

Accelerated all simple loops using metering functions (where possible):
   Start location: __init
      0: f1_0_main_ConstantStackPush -> f58_0_main_GE : arg1'=0, [], cost: 1
      4: f58_0_main_GE -> f58_0_main_GE : arg1'=12, [ 12-arg1>=0 ], cost: 12-arg1
      5: f58_0_main_GE -> f58_0_main_GE : arg1'=20, [ arg1>11 && 20-arg1>=0 ], cost: 20-arg1
      3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P_4, [], cost: 1

Chained accelerated rules (with incoming rules):
   Start location: __init
      0: f1_0_main_ConstantStackPush -> f58_0_main_GE : arg1'=0, [], cost: 1
      6: f1_0_main_ConstantStackPush -> f58_0_main_GE : arg1'=12, [], cost: 13
      3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P_4, [], 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),?)