NO

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

Initial linear ITS problem
   Start location: __init
      0: f1 -> f2 : arg1'=arg1P_1, [], cost: 1
      2: f2 -> f3 : arg1'=arg1P_3, [ arg1==arg1P_3 ], cost: 1
      1: f3 -> f4 : arg1'=arg1P_2, [ arg1P_2==1+arg1 ], cost: 1
      3: f4 -> f2 : arg1'=arg1P_4, [ arg1==arg1P_4 ], cost: 1
      4: __init -> f1 : arg1'=arg1P_5, [], cost: 1

Checking for constant complexity:
   The following rule is satisfiable with cost >= 1, yielding constant complexity:
      4: __init -> f1 : arg1'=arg1P_5, [], cost: 1

Simplified all rules, resulting in:
   Start location: __init
      0: f1 -> f2 : arg1'=arg1P_1, [], cost: 1
      2: f2 -> f3 : [], cost: 1
      1: f3 -> f4 : arg1'=1+arg1, [], cost: 1
      3: f4 -> f2 : [], cost: 1
      4: __init -> f1 : arg1'=arg1P_5, [], cost: 1

### Simplification by acceleration and chaining ###

Eliminated locations (on linear paths):
   Start location: __init
      7: f2 -> f2 : arg1'=1+arg1, [], cost: 3
      5: __init -> f2 : arg1'=arg1P_1, [], cost: 2

Accelerating simple loops of location 1.
   Accelerating the following rules:
      7: f2 -> f2 : arg1'=1+arg1, [], cost: 3

   Accelerated rule 7 with non-termination, yielding the new rule 8.
[accelerate] Nesting with 0 inner and 0 outer candidates
   Removing the simple loops: 7.

Accelerated all simple loops using metering functions (where possible):
   Start location: __init
      8: f2 -> [5] : [], cost: NONTERM
      5: __init -> f2 : arg1'=arg1P_1, [], cost: 2

Chained accelerated rules (with incoming rules):
   Start location: __init
      5: __init -> f2 : arg1'=arg1P_1, [], cost: 2
      9: __init -> [5] : [], cost: NONTERM

Removed unreachable locations (and leaf rules with constant cost):
   Start location: __init
      9: __init -> [5] : [], cost: NONTERM

### Computing asymptotic complexity ###

Fully simplified ITS problem
   Start location: __init
      9: __init -> [5] : [], cost: NONTERM

Computing asymptotic complexity for rule 9
   Guard is satisfiable, yielding nontermination
   Resulting cost NONTERM has complexity: Nonterm

Found new complexity Nonterm.

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

NO