WORST_CASE(Omega(1),?)

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

Initial linear ITS problem
   Start location: __init
      0: f1_0_main_Load -> f218_0_main_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg3P_1>-1 && arg2>-1 && arg1P_1>-1 && arg2P_1>-1 && arg1>0 && arg1P_1+arg2P_1==arg4P_1 ], cost: 1
      1: f218_0_main_LE -> f218_0_main_LE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg4<arg3 && arg1>-2 && arg2>-2 && 1+arg1==arg1P_2 && 1+arg2==arg2P_2 && arg3==arg3P_2 && 2+arg1+arg2==arg4P_2 ], cost: 1
      2: __init -> f1_0_main_Load : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [], cost: 1

Checking for constant complexity:
   The following rule is satisfiable with cost >= 1, yielding constant complexity:
      2: __init -> f1_0_main_Load : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [], cost: 1

Simplified all rules, resulting in:
   Start location: __init
      0: f1_0_main_Load -> f218_0_main_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg1P_1+arg2P_1, [ arg3P_1>-1 && arg2>-1 && arg1P_1>-1 && arg2P_1>-1 && arg1>0 ], cost: 1
      1: f218_0_main_LE -> f218_0_main_LE : arg1'=1+arg1, arg2'=1+arg2, arg4'=2+arg1+arg2, [ arg4<arg3 && arg1>-2 && arg2>-2 ], cost: 1
      2: __init -> f1_0_main_Load : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [], cost: 1

### Simplification by acceleration and chaining ###

Accelerating simple loops of location 1.
   Accelerating the following rules:
      1: f218_0_main_LE -> f218_0_main_LE : arg1'=1+arg1, arg2'=1+arg2, arg4'=2+arg1+arg2, [ arg4<arg3 && arg1>-2 && arg2>-2 ], cost: 1

   Found no metering function for rule 1.
   Removing the simple loops:.

Accelerated all simple loops using metering functions (where possible):
   Start location: __init
      0: f1_0_main_Load -> f218_0_main_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg1P_1+arg2P_1, [ arg3P_1>-1 && arg2>-1 && arg1P_1>-1 && arg2P_1>-1 && arg1>0 ], cost: 1
      1: f218_0_main_LE -> f218_0_main_LE : arg1'=1+arg1, arg2'=1+arg2, arg4'=2+arg1+arg2, [ arg4<arg3 && arg1>-2 && arg2>-2 ], cost: 1
      2: __init -> f1_0_main_Load : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [], cost: 1

Chained accelerated rules (with incoming rules):
   Start location: __init
      0: f1_0_main_Load -> f218_0_main_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg1P_1+arg2P_1, [ arg3P_1>-1 && arg2>-1 && arg1P_1>-1 && arg2P_1>-1 && arg1>0 ], cost: 1
      3: f1_0_main_Load -> f218_0_main_LE : arg1'=1+arg1P_1, arg2'=1+arg2P_1, arg3'=arg3P_1, arg4'=2+arg1P_1+arg2P_1, [ arg3P_1>-1 && arg2>-1 && arg1P_1>-1 && arg2P_1>-1 && arg1>0 && arg1P_1+arg2P_1<arg3P_1 ], cost: 2
      2: __init -> f1_0_main_Load : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [], 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),?)