NO

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

Initial linear ITS problem
   Start location: l9
      0: l0 -> l1 : Result_4^0'=Result_4^post_1, tmp_6^0'=tmp_6^post_1, x_5^0'=x_5^post_1, [ Result_4^0==Result_4^post_1 && tmp_6^0==tmp_6^post_1 && x_5^0==x_5^post_1 ], cost: 1
      1: l1 -> l2 : Result_4^0'=Result_4^post_2, tmp_6^0'=tmp_6^post_2, x_5^0'=x_5^post_2, [ tmp_6^post_2==tmp_6^post_2 && tmp_6^post_2<=0 && 0<=tmp_6^post_2 && x_5^0<=0 && Result_4^post_2==Result_4^post_2 && x_5^0==x_5^post_2 ], cost: 1
      2: l1 -> l3 : Result_4^0'=Result_4^post_3, tmp_6^0'=tmp_6^post_3, x_5^0'=x_5^post_3, [ tmp_6^post_3==tmp_6^post_3 && tmp_6^post_3<=0 && 0<=tmp_6^post_3 && 0<=-1+x_5^0 && Result_4^0==Result_4^post_3 && x_5^0==x_5^post_3 ], cost: 1
      4: l1 -> l4 : Result_4^0'=Result_4^post_5, tmp_6^0'=tmp_6^post_5, x_5^0'=x_5^post_5, [ tmp_6^post_5==tmp_6^post_5 && Result_4^0==Result_4^post_5 && x_5^0==x_5^post_5 ], cost: 1
      8: l1 -> l7 : Result_4^0'=Result_4^post_9, tmp_6^0'=tmp_6^post_9, x_5^0'=x_5^post_9, [ tmp_6^post_9==tmp_6^post_9 && Result_4^0==Result_4^post_9 && x_5^0==x_5^post_9 ], cost: 1
      3: l3 -> l1 : Result_4^0'=Result_4^post_4, tmp_6^0'=tmp_6^post_4, x_5^0'=x_5^post_4, [ Result_4^0==Result_4^post_4 && tmp_6^0==tmp_6^post_4 && x_5^0==x_5^post_4 ], cost: 1
      5: l4 -> l5 : Result_4^0'=Result_4^post_6, tmp_6^0'=tmp_6^post_6, x_5^0'=x_5^post_6, [ 1+tmp_6^0<=0 && Result_4^0==Result_4^post_6 && tmp_6^0==tmp_6^post_6 && x_5^0==x_5^post_6 ], cost: 1
      6: l4 -> l5 : Result_4^0'=Result_4^post_7, tmp_6^0'=tmp_6^post_7, x_5^0'=x_5^post_7, [ 1<=tmp_6^0 && Result_4^0==Result_4^post_7 && tmp_6^0==tmp_6^post_7 && x_5^0==x_5^post_7 ], cost: 1
      7: l5 -> l2 : Result_4^0'=Result_4^post_8, tmp_6^0'=tmp_6^post_8, x_5^0'=x_5^post_8, [ x_5^post_8==-1+x_5^0 && x_5^post_8<=0 && Result_4^post_8==Result_4^post_8 && tmp_6^0==tmp_6^post_8 ], cost: 1
      9: l7 -> l8 : Result_4^0'=Result_4^post_10, tmp_6^0'=tmp_6^post_10, x_5^0'=x_5^post_10, [ 1+tmp_6^0<=0 && Result_4^0==Result_4^post_10 && tmp_6^0==tmp_6^post_10 && x_5^0==x_5^post_10 ], cost: 1
     10: l7 -> l8 : Result_4^0'=Result_4^post_11, tmp_6^0'=tmp_6^post_11, x_5^0'=x_5^post_11, [ 1<=tmp_6^0 && Result_4^0==Result_4^post_11 && tmp_6^0==tmp_6^post_11 && x_5^0==x_5^post_11 ], cost: 1
     11: l8 -> l6 : Result_4^0'=Result_4^post_12, tmp_6^0'=tmp_6^post_12, x_5^0'=x_5^post_12, [ x_5^post_12==-1+x_5^0 && 0<=-1+x_5^post_12 && Result_4^0==Result_4^post_12 && tmp_6^0==tmp_6^post_12 ], cost: 1
     12: l6 -> l1 : Result_4^0'=Result_4^post_13, tmp_6^0'=tmp_6^post_13, x_5^0'=x_5^post_13, [ Result_4^0==Result_4^post_13 && tmp_6^0==tmp_6^post_13 && x_5^0==x_5^post_13 ], cost: 1
     13: l9 -> l0 : Result_4^0'=Result_4^post_14, tmp_6^0'=tmp_6^post_14, x_5^0'=x_5^post_14, [ Result_4^0==Result_4^post_14 && tmp_6^0==tmp_6^post_14 && x_5^0==x_5^post_14 ], cost: 1

Checking for constant complexity:
   The following rule is satisfiable with cost >= 1, yielding constant complexity:
     13: l9 -> l0 : Result_4^0'=Result_4^post_14, tmp_6^0'=tmp_6^post_14, x_5^0'=x_5^post_14, [ Result_4^0==Result_4^post_14 && tmp_6^0==tmp_6^post_14 && x_5^0==x_5^post_14 ], cost: 1

Removed unreachable and leaf rules:
   Start location: l9
      0: l0 -> l1 : Result_4^0'=Result_4^post_1, tmp_6^0'=tmp_6^post_1, x_5^0'=x_5^post_1, [ Result_4^0==Result_4^post_1 && tmp_6^0==tmp_6^post_1 && x_5^0==x_5^post_1 ], cost: 1
      2: l1 -> l3 : Result_4^0'=Result_4^post_3, tmp_6^0'=tmp_6^post_3, x_5^0'=x_5^post_3, [ tmp_6^post_3==tmp_6^post_3 && tmp_6^post_3<=0 && 0<=tmp_6^post_3 && 0<=-1+x_5^0 && Result_4^0==Result_4^post_3 && x_5^0==x_5^post_3 ], cost: 1
      8: l1 -> l7 : Result_4^0'=Result_4^post_9, tmp_6^0'=tmp_6^post_9, x_5^0'=x_5^post_9, [ tmp_6^post_9==tmp_6^post_9 && Result_4^0==Result_4^post_9 && x_5^0==x_5^post_9 ], cost: 1
      3: l3 -> l1 : Result_4^0'=Result_4^post_4, tmp_6^0'=tmp_6^post_4, x_5^0'=x_5^post_4, [ Result_4^0==Result_4^post_4 && tmp_6^0==tmp_6^post_4 && x_5^0==x_5^post_4 ], cost: 1
      9: l7 -> l8 : Result_4^0'=Result_4^post_10, tmp_6^0'=tmp_6^post_10, x_5^0'=x_5^post_10, [ 1+tmp_6^0<=0 && Result_4^0==Result_4^post_10 && tmp_6^0==tmp_6^post_10 && x_5^0==x_5^post_10 ], cost: 1
     10: l7 -> l8 : Result_4^0'=Result_4^post_11, tmp_6^0'=tmp_6^post_11, x_5^0'=x_5^post_11, [ 1<=tmp_6^0 && Result_4^0==Result_4^post_11 && tmp_6^0==tmp_6^post_11 && x_5^0==x_5^post_11 ], cost: 1
     11: l8 -> l6 : Result_4^0'=Result_4^post_12, tmp_6^0'=tmp_6^post_12, x_5^0'=x_5^post_12, [ x_5^post_12==-1+x_5^0 && 0<=-1+x_5^post_12 && Result_4^0==Result_4^post_12 && tmp_6^0==tmp_6^post_12 ], cost: 1
     12: l6 -> l1 : Result_4^0'=Result_4^post_13, tmp_6^0'=tmp_6^post_13, x_5^0'=x_5^post_13, [ Result_4^0==Result_4^post_13 && tmp_6^0==tmp_6^post_13 && x_5^0==x_5^post_13 ], cost: 1
     13: l9 -> l0 : Result_4^0'=Result_4^post_14, tmp_6^0'=tmp_6^post_14, x_5^0'=x_5^post_14, [ Result_4^0==Result_4^post_14 && tmp_6^0==tmp_6^post_14 && x_5^0==x_5^post_14 ], cost: 1

Simplified all rules, resulting in:
   Start location: l9
      0: l0 -> l1 : [], cost: 1
      2: l1 -> l3 : tmp_6^0'=0, [ 0<=-1+x_5^0 ], cost: 1
      8: l1 -> l7 : tmp_6^0'=tmp_6^post_9, [], cost: 1
      3: l3 -> l1 : [], cost: 1
      9: l7 -> l8 : [ 1+tmp_6^0<=0 ], cost: 1
     10: l7 -> l8 : [ 1<=tmp_6^0 ], cost: 1
     11: l8 -> l6 : x_5^0'=-1+x_5^0, [ 0<=-2+x_5^0 ], cost: 1
     12: l6 -> l1 : [], cost: 1
     13: l9 -> l0 : [], cost: 1

### Simplification by acceleration and chaining ###

Eliminated locations (on linear paths):
   Start location: l9
      8: l1 -> l7 : tmp_6^0'=tmp_6^post_9, [], cost: 1
     15: l1 -> l1 : tmp_6^0'=0, [ 0<=-1+x_5^0 ], cost: 2
      9: l7 -> l8 : [ 1+tmp_6^0<=0 ], cost: 1
     10: l7 -> l8 : [ 1<=tmp_6^0 ], cost: 1
     16: l8 -> l1 : x_5^0'=-1+x_5^0, [ 0<=-2+x_5^0 ], cost: 2
     14: l9 -> l1 : [], cost: 2

Accelerating simple loops of location 1.
   Accelerating the following rules:
     15: l1 -> l1 : tmp_6^0'=0, [ 0<=-1+x_5^0 ], cost: 2

   Accelerated rule 15 with non-termination, yielding the new rule 17.
[accelerate] Nesting with 0 inner and 0 outer candidates
   Removing the simple loops: 15.

Accelerated all simple loops using metering functions (where possible):
   Start location: l9
      8: l1 -> l7 : tmp_6^0'=tmp_6^post_9, [], cost: 1
     17: l1 -> [10] : [ 0<=-1+x_5^0 ], cost: NONTERM
      9: l7 -> l8 : [ 1+tmp_6^0<=0 ], cost: 1
     10: l7 -> l8 : [ 1<=tmp_6^0 ], cost: 1
     16: l8 -> l1 : x_5^0'=-1+x_5^0, [ 0<=-2+x_5^0 ], cost: 2
     14: l9 -> l1 : [], cost: 2

Chained accelerated rules (with incoming rules):
   Start location: l9
      8: l1 -> l7 : tmp_6^0'=tmp_6^post_9, [], cost: 1
      9: l7 -> l8 : [ 1+tmp_6^0<=0 ], cost: 1
     10: l7 -> l8 : [ 1<=tmp_6^0 ], cost: 1
     16: l8 -> l1 : x_5^0'=-1+x_5^0, [ 0<=-2+x_5^0 ], cost: 2
     19: l8 -> [10] : [ 0<=-2+x_5^0 ], cost: NONTERM
     14: l9 -> l1 : [], cost: 2
     18: l9 -> [10] : [ 0<=-1+x_5^0 ], cost: NONTERM

Eliminated locations (on tree-shaped paths):
   Start location: l9
     20: l1 -> l8 : tmp_6^0'=tmp_6^post_9, [ 1+tmp_6^post_9<=0 ], cost: 2
     21: l1 -> l8 : tmp_6^0'=tmp_6^post_9, [ 1<=tmp_6^post_9 ], cost: 2
     16: l8 -> l1 : x_5^0'=-1+x_5^0, [ 0<=-2+x_5^0 ], cost: 2
     19: l8 -> [10] : [ 0<=-2+x_5^0 ], cost: NONTERM
     14: l9 -> l1 : [], cost: 2
     18: l9 -> [10] : [ 0<=-1+x_5^0 ], cost: NONTERM

Eliminated locations (on tree-shaped paths):
   Start location: l9
     22: l1 -> l1 : tmp_6^0'=tmp_6^post_9, x_5^0'=-1+x_5^0, [ 1+tmp_6^post_9<=0 && 0<=-2+x_5^0 ], cost: 4
     23: l1 -> [10] : [ 1+tmp_6^post_9<=0 && 0<=-2+x_5^0 ], cost: NONTERM
     24: l1 -> l1 : tmp_6^0'=tmp_6^post_9, x_5^0'=-1+x_5^0, [ 1<=tmp_6^post_9 && 0<=-2+x_5^0 ], cost: 4
     25: l1 -> [10] : [ 1<=tmp_6^post_9 && 0<=-2+x_5^0 ], cost: NONTERM
     14: l9 -> l1 : [], cost: 2
     18: l9 -> [10] : [ 0<=-1+x_5^0 ], cost: NONTERM

Accelerating simple loops of location 1.
   Accelerating the following rules:
     22: l1 -> l1 : tmp_6^0'=tmp_6^post_9, x_5^0'=-1+x_5^0, [ 1+tmp_6^post_9<=0 && 0<=-2+x_5^0 ], cost: 4
     24: l1 -> l1 : tmp_6^0'=tmp_6^post_9, x_5^0'=-1+x_5^0, [ 1<=tmp_6^post_9 && 0<=-2+x_5^0 ], cost: 4

   Accelerated rule 22 with backward acceleration, yielding the new rule 26.
   Accelerated rule 24 with backward acceleration, yielding the new rule 27.
[accelerate] Nesting with 2 inner and 2 outer candidates
   Removing the simple loops: 22 24.

Accelerated all simple loops using metering functions (where possible):
   Start location: l9
     23: l1 -> [10] : [ 1+tmp_6^post_9<=0 && 0<=-2+x_5^0 ], cost: NONTERM
     25: l1 -> [10] : [ 1<=tmp_6^post_9 && 0<=-2+x_5^0 ], cost: NONTERM
     26: l1 -> l1 : tmp_6^0'=tmp_6^post_9, x_5^0'=1, [ 1+tmp_6^post_9<=0 && -1+x_5^0>=1 ], cost: -4+4*x_5^0
     27: l1 -> l1 : tmp_6^0'=tmp_6^post_9, x_5^0'=1, [ 1<=tmp_6^post_9 && -1+x_5^0>=1 ], cost: -4+4*x_5^0
     14: l9 -> l1 : [], cost: 2
     18: l9 -> [10] : [ 0<=-1+x_5^0 ], cost: NONTERM

Chained accelerated rules (with incoming rules):
   Start location: l9
     23: l1 -> [10] : [ 1+tmp_6^post_9<=0 && 0<=-2+x_5^0 ], cost: NONTERM
     25: l1 -> [10] : [ 1<=tmp_6^post_9 && 0<=-2+x_5^0 ], cost: NONTERM
     14: l9 -> l1 : [], cost: 2
     18: l9 -> [10] : [ 0<=-1+x_5^0 ], cost: NONTERM
     28: l9 -> l1 : tmp_6^0'=tmp_6^post_9, x_5^0'=1, [ 1+tmp_6^post_9<=0 && -1+x_5^0>=1 ], cost: -2+4*x_5^0
     29: l9 -> l1 : tmp_6^0'=tmp_6^post_9, x_5^0'=1, [ 1<=tmp_6^post_9 && -1+x_5^0>=1 ], cost: -2+4*x_5^0

Eliminated locations (on tree-shaped paths):
   Start location: l9
     18: l9 -> [10] : [ 0<=-1+x_5^0 ], cost: NONTERM
     30: l9 -> [10] : [ 1+tmp_6^post_9<=0 && 0<=-2+x_5^0 ], cost: NONTERM
     31: l9 -> [10] : [ 1<=tmp_6^post_9 && 0<=-2+x_5^0 ], cost: NONTERM
     32: l9 -> [12] : [ 1+tmp_6^post_9<=0 && -1+x_5^0>=1 ], cost: -2+4*x_5^0
     33: l9 -> [12] : [ 1<=tmp_6^post_9 && -1+x_5^0>=1 ], cost: -2+4*x_5^0

### Computing asymptotic complexity ###

Fully simplified ITS problem
   Start location: l9
     18: l9 -> [10] : [ 0<=-1+x_5^0 ], cost: NONTERM
     30: l9 -> [10] : [ 1+tmp_6^post_9<=0 && 0<=-2+x_5^0 ], cost: NONTERM
     31: l9 -> [10] : [ 1<=tmp_6^post_9 && 0<=-2+x_5^0 ], cost: NONTERM
     32: l9 -> [12] : [ 1+tmp_6^post_9<=0 && -1+x_5^0>=1 ], cost: -2+4*x_5^0
     33: l9 -> [12] : [ 1<=tmp_6^post_9 && -1+x_5^0>=1 ], cost: -2+4*x_5^0

Computing asymptotic complexity for rule 18
   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:  [ 0<=-1+x_5^0 ]

NO