WORST_CASE(Omega(1),?)

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

Initial linear ITS problem
   Start location: __init
      0: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1>0 && 0==arg2 && 0==arg1P_1 && 0==arg2P_1 && 0==arg3P_1 && 0==arg4P_1 ], cost: 1
      1: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1>0 && arg1P_2>-1 && 1==arg2 && 0==arg2P_2 && 1==arg3P_2 && 1==arg4P_2 ], cost: 1
      2: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg2P_3>-1 && arg2>1 && arg1P_3>-1 && arg1>0 && arg2==arg3P_3 && 2==arg4P_3 ], cost: 1
      3: f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg3>-1 && -1+arg1<arg1 && arg4>=arg3 && arg2>0 && -1+arg1==arg1P_4 && -1+arg1==arg2P_4 && arg3==arg3P_4 && arg4==arg4P_4 ], cost: 1
      4: f577_0_loop_LE -> f577_0_loop_LE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg2>0 && arg3>0 && arg4>-1 && arg4<arg3 && 1+arg4<=arg3 && x15_1>-1 && -1-x15_1+arg1==arg1P_5 && -1-x15_1+arg1==arg2P_5 && arg3==arg3P_5 && 1+arg4==arg4P_5 ], cost: 1
      5: __init -> f1_0_main_Load : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [], cost: 1

Checking for constant complexity:
   The following rule is satisfiable with cost >= 1, yielding constant complexity:
      5: __init -> f1_0_main_Load : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [], cost: 1

Simplified all rules, resulting in:
   Start location: __init
      0: f1_0_main_Load -> f577_0_loop_LE : arg1'=0, arg2'=0, arg3'=0, arg4'=0, [ arg1>0 && 0==arg2 ], cost: 1
      1: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P_2, arg2'=0, arg3'=1, arg4'=1, [ arg1>0 && arg1P_2>-1 && 1==arg2 ], cost: 1
      2: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg2, arg4'=2, [ arg2P_3>-1 && arg2>1 && arg1P_3>-1 && arg1>0 ], cost: 1
      3: f577_0_loop_LE -> f577_0_loop_LE : arg1'=-1+arg1, arg2'=-1+arg1, [ arg3>-1 && arg4>=arg3 && arg2>0 ], cost: 1
      4: f577_0_loop_LE -> f577_0_loop_LE : arg1'=-1-x15_1+arg1, arg2'=-1-x15_1+arg1, arg4'=1+arg4, [ arg2>0 && arg4>-1 && arg4<arg3 && x15_1>-1 ], cost: 1
      5: __init -> f1_0_main_Load : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [], cost: 1

### Simplification by acceleration and chaining ###

Accelerating simple loops of location 1.
   Accelerating the following rules:
      3: f577_0_loop_LE -> f577_0_loop_LE : arg1'=-1+arg1, arg2'=-1+arg1, [ arg3>-1 && arg4>=arg3 && arg2>0 ], cost: 1
      4: f577_0_loop_LE -> f577_0_loop_LE : arg1'=-1-x15_1+arg1, arg2'=-1-x15_1+arg1, arg4'=1+arg4, [ arg2>0 && arg4>-1 && arg4<arg3 && x15_1>-1 ], cost: 1

   Found no metering function for rule 3.
   Found no metering function for rule 4.
   Removing the simple loops:.

Accelerated all simple loops using metering functions (where possible):
   Start location: __init
      0: f1_0_main_Load -> f577_0_loop_LE : arg1'=0, arg2'=0, arg3'=0, arg4'=0, [ arg1>0 && 0==arg2 ], cost: 1
      1: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P_2, arg2'=0, arg3'=1, arg4'=1, [ arg1>0 && arg1P_2>-1 && 1==arg2 ], cost: 1
      2: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg2, arg4'=2, [ arg2P_3>-1 && arg2>1 && arg1P_3>-1 && arg1>0 ], cost: 1
      3: f577_0_loop_LE -> f577_0_loop_LE : arg1'=-1+arg1, arg2'=-1+arg1, [ arg3>-1 && arg4>=arg3 && arg2>0 ], cost: 1
      4: f577_0_loop_LE -> f577_0_loop_LE : arg1'=-1-x15_1+arg1, arg2'=-1-x15_1+arg1, arg4'=1+arg4, [ arg2>0 && arg4>-1 && arg4<arg3 && x15_1>-1 ], cost: 1
      5: __init -> f1_0_main_Load : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [], cost: 1

Chained accelerated rules (with incoming rules):
   Start location: __init
      0: f1_0_main_Load -> f577_0_loop_LE : arg1'=0, arg2'=0, arg3'=0, arg4'=0, [ arg1>0 && 0==arg2 ], cost: 1
      1: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P_2, arg2'=0, arg3'=1, arg4'=1, [ arg1>0 && arg1P_2>-1 && 1==arg2 ], cost: 1
      2: f1_0_main_Load -> f577_0_loop_LE : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg2, arg4'=2, [ arg2P_3>-1 && arg2>1 && arg1P_3>-1 && arg1>0 ], cost: 1
      6: f1_0_main_Load -> f577_0_loop_LE : arg1'=-1+arg1P_3, arg2'=-1+arg1P_3, arg3'=arg2, arg4'=2, [ 2-arg2==0 && arg1P_3>-1 && arg1>0 ], cost: 2
      7: f1_0_main_Load -> f577_0_loop_LE : arg1'=-1+arg1P_3-x15_1, arg2'=-1+arg1P_3-x15_1, arg3'=arg2, arg4'=3, [ arg1P_3>-1 && arg1>0 && 2<arg2 && x15_1>-1 ], cost: 2
      5: __init -> f1_0_main_Load : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [], 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),?)