NO

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

Initial linear ITS problem
   Start location: l7
      0: l0 -> l1 : __const_10^0'=__const_10^post_1, __const_5^0'=__const_5^post_1, i^0'=i^post_1, j^0'=j^post_1, [ j^post_1==i^0 && __const_10^0==__const_10^post_1 && __const_5^0==__const_5^post_1 && i^0==i^post_1 ], cost: 1
      1: l1 -> l2 : __const_10^0'=__const_10^post_2, __const_5^0'=__const_5^post_2, i^0'=i^post_2, j^0'=j^post_2, [ i^post_2==1+i^0 && __const_10^0==__const_10^post_2 && __const_5^0==__const_5^post_2 && j^0==j^post_2 ], cost: 1
      7: l2 -> l4 : __const_10^0'=__const_10^post_8, __const_5^0'=__const_5^post_8, i^0'=i^post_8, j^0'=j^post_8, [ __const_10^0==__const_10^post_8 && __const_5^0==__const_5^post_8 && i^0==i^post_8 && j^0==j^post_8 ], cost: 1
      2: l3 -> l0 : __const_10^0'=__const_10^post_3, __const_5^0'=__const_5^post_3, i^0'=i^post_3, j^0'=j^post_3, [ 1+__const_5^0<=i^0 && __const_10^0==__const_10^post_3 && __const_5^0==__const_5^post_3 && i^0==i^post_3 && j^0==j^post_3 ], cost: 1
      3: l3 -> l0 : __const_10^0'=__const_10^post_4, __const_5^0'=__const_5^post_4, i^0'=i^post_4, j^0'=j^post_4, [ 1+i^0<=__const_5^0 && __const_10^0==__const_10^post_4 && __const_5^0==__const_5^post_4 && i^0==i^post_4 && j^0==j^post_4 ], cost: 1
      4: l3 -> l1 : __const_10^0'=__const_10^post_5, __const_5^0'=__const_5^post_5, i^0'=i^post_5, j^0'=j^post_5, [ i^0<=__const_5^0 && __const_5^0<=i^0 && i^post_5==i^post_5 && __const_10^0==__const_10^post_5 && __const_5^0==__const_5^post_5 && j^0==j^post_5 ], cost: 1
      5: l4 -> l5 : __const_10^0'=__const_10^post_6, __const_5^0'=__const_5^post_6, i^0'=i^post_6, j^0'=j^post_6, [ __const_10^0<=i^0 && __const_10^0==__const_10^post_6 && __const_5^0==__const_5^post_6 && i^0==i^post_6 && j^0==j^post_6 ], cost: 1
      6: l4 -> l3 : __const_10^0'=__const_10^post_7, __const_5^0'=__const_5^post_7, i^0'=i^post_7, j^0'=j^post_7, [ 1+i^0<=__const_10^0 && __const_10^0==__const_10^post_7 && __const_5^0==__const_5^post_7 && i^0==i^post_7 && j^0==j^post_7 ], cost: 1
      8: l6 -> l2 : __const_10^0'=__const_10^post_9, __const_5^0'=__const_5^post_9, i^0'=i^post_9, j^0'=j^post_9, [ i^post_9==0 && __const_10^0==__const_10^post_9 && __const_5^0==__const_5^post_9 && j^0==j^post_9 ], cost: 1
      9: l7 -> l6 : __const_10^0'=__const_10^post_10, __const_5^0'=__const_5^post_10, i^0'=i^post_10, j^0'=j^post_10, [ __const_10^0==__const_10^post_10 && __const_5^0==__const_5^post_10 && i^0==i^post_10 && j^0==j^post_10 ], cost: 1

Checking for constant complexity:
   The following rule is satisfiable with cost >= 1, yielding constant complexity:
      9: l7 -> l6 : __const_10^0'=__const_10^post_10, __const_5^0'=__const_5^post_10, i^0'=i^post_10, j^0'=j^post_10, [ __const_10^0==__const_10^post_10 && __const_5^0==__const_5^post_10 && i^0==i^post_10 && j^0==j^post_10 ], cost: 1

Removed unreachable and leaf rules:
   Start location: l7
      0: l0 -> l1 : __const_10^0'=__const_10^post_1, __const_5^0'=__const_5^post_1, i^0'=i^post_1, j^0'=j^post_1, [ j^post_1==i^0 && __const_10^0==__const_10^post_1 && __const_5^0==__const_5^post_1 && i^0==i^post_1 ], cost: 1
      1: l1 -> l2 : __const_10^0'=__const_10^post_2, __const_5^0'=__const_5^post_2, i^0'=i^post_2, j^0'=j^post_2, [ i^post_2==1+i^0 && __const_10^0==__const_10^post_2 && __const_5^0==__const_5^post_2 && j^0==j^post_2 ], cost: 1
      7: l2 -> l4 : __const_10^0'=__const_10^post_8, __const_5^0'=__const_5^post_8, i^0'=i^post_8, j^0'=j^post_8, [ __const_10^0==__const_10^post_8 && __const_5^0==__const_5^post_8 && i^0==i^post_8 && j^0==j^post_8 ], cost: 1
      2: l3 -> l0 : __const_10^0'=__const_10^post_3, __const_5^0'=__const_5^post_3, i^0'=i^post_3, j^0'=j^post_3, [ 1+__const_5^0<=i^0 && __const_10^0==__const_10^post_3 && __const_5^0==__const_5^post_3 && i^0==i^post_3 && j^0==j^post_3 ], cost: 1
      3: l3 -> l0 : __const_10^0'=__const_10^post_4, __const_5^0'=__const_5^post_4, i^0'=i^post_4, j^0'=j^post_4, [ 1+i^0<=__const_5^0 && __const_10^0==__const_10^post_4 && __const_5^0==__const_5^post_4 && i^0==i^post_4 && j^0==j^post_4 ], cost: 1
      4: l3 -> l1 : __const_10^0'=__const_10^post_5, __const_5^0'=__const_5^post_5, i^0'=i^post_5, j^0'=j^post_5, [ i^0<=__const_5^0 && __const_5^0<=i^0 && i^post_5==i^post_5 && __const_10^0==__const_10^post_5 && __const_5^0==__const_5^post_5 && j^0==j^post_5 ], cost: 1
      6: l4 -> l3 : __const_10^0'=__const_10^post_7, __const_5^0'=__const_5^post_7, i^0'=i^post_7, j^0'=j^post_7, [ 1+i^0<=__const_10^0 && __const_10^0==__const_10^post_7 && __const_5^0==__const_5^post_7 && i^0==i^post_7 && j^0==j^post_7 ], cost: 1
      8: l6 -> l2 : __const_10^0'=__const_10^post_9, __const_5^0'=__const_5^post_9, i^0'=i^post_9, j^0'=j^post_9, [ i^post_9==0 && __const_10^0==__const_10^post_9 && __const_5^0==__const_5^post_9 && j^0==j^post_9 ], cost: 1
      9: l7 -> l6 : __const_10^0'=__const_10^post_10, __const_5^0'=__const_5^post_10, i^0'=i^post_10, j^0'=j^post_10, [ __const_10^0==__const_10^post_10 && __const_5^0==__const_5^post_10 && i^0==i^post_10 && j^0==j^post_10 ], cost: 1

Simplified all rules, resulting in:
   Start location: l7
      0: l0 -> l1 : j^0'=i^0, [], cost: 1
      1: l1 -> l2 : i^0'=1+i^0, [], cost: 1
      7: l2 -> l4 : [], cost: 1
      2: l3 -> l0 : [ 1+__const_5^0<=i^0 ], cost: 1
      3: l3 -> l0 : [ 1+i^0<=__const_5^0 ], cost: 1
      4: l3 -> l1 : i^0'=i^post_5, [ -__const_5^0+i^0==0 ], cost: 1
      6: l4 -> l3 : [ 1+i^0<=__const_10^0 ], cost: 1
      8: l6 -> l2 : i^0'=0, [], cost: 1
      9: l7 -> l6 : [], cost: 1

### Simplification by acceleration and chaining ###

Eliminated locations (on linear paths):
   Start location: l7
      0: l0 -> l1 : j^0'=i^0, [], cost: 1
      1: l1 -> l2 : i^0'=1+i^0, [], cost: 1
     11: l2 -> l3 : [ 1+i^0<=__const_10^0 ], cost: 2
      2: l3 -> l0 : [ 1+__const_5^0<=i^0 ], cost: 1
      3: l3 -> l0 : [ 1+i^0<=__const_5^0 ], cost: 1
      4: l3 -> l1 : i^0'=i^post_5, [ -__const_5^0+i^0==0 ], cost: 1
     10: l7 -> l2 : i^0'=0, [], cost: 2

Eliminated locations (on tree-shaped paths):
   Start location: l7
      0: l0 -> l1 : j^0'=i^0, [], cost: 1
      1: l1 -> l2 : i^0'=1+i^0, [], cost: 1
     12: l2 -> l0 : [ 1+i^0<=__const_10^0 && 1+__const_5^0<=i^0 ], cost: 3
     13: l2 -> l0 : [ 1+i^0<=__const_10^0 && 1+i^0<=__const_5^0 ], cost: 3
     14: l2 -> l1 : i^0'=i^post_5, [ 1+i^0<=__const_10^0 && -__const_5^0+i^0==0 ], cost: 3
     10: l7 -> l2 : i^0'=0, [], cost: 2

Eliminated locations (on tree-shaped paths):
   Start location: l7
     17: l2 -> l2 : i^0'=1+i^post_5, [ 1+i^0<=__const_10^0 && -__const_5^0+i^0==0 ], cost: 4
     18: l2 -> l2 : i^0'=1+i^0, j^0'=i^0, [ 1+i^0<=__const_10^0 && 1+__const_5^0<=i^0 ], cost: 5
     19: l2 -> l2 : i^0'=1+i^0, j^0'=i^0, [ 1+i^0<=__const_10^0 && 1+i^0<=__const_5^0 ], cost: 5
     10: l7 -> l2 : i^0'=0, [], cost: 2

Accelerating simple loops of location 2.
   Accelerating the following rules:
     17: l2 -> l2 : i^0'=1+i^post_5, [ 1+i^0<=__const_10^0 && -__const_5^0+i^0==0 ], cost: 4
     18: l2 -> l2 : i^0'=1+i^0, j^0'=i^0, [ 1+i^0<=__const_10^0 && 1+__const_5^0<=i^0 ], cost: 5
     19: l2 -> l2 : i^0'=1+i^0, j^0'=i^0, [ 1+i^0<=__const_10^0 && 1+i^0<=__const_5^0 ], cost: 5

   Accelerated rule 17 with non-termination, yielding the new rule 20.
   Accelerated rule 18 with backward acceleration, yielding the new rule 21.
   Accelerated rule 19 with backward acceleration, yielding the new rule 22.
   Accelerated rule 19 with backward acceleration, yielding the new rule 23.
[accelerate] Nesting with 3 inner and 3 outer candidates
   Nested simple loops 17 (outer loop) and 23 (inner loop) with Rule(2 | 1+i^0<=__const_10^0, -__const_5^0+i^0==0, -1+__const_5^0-i^post_5>=1, __const_5^0<=__const_10^0, | NONTERM || 8 | ), resulting in the new rules: 24, 25.
   Removing the simple loops: 17 18 19.

Accelerated all simple loops using metering functions (where possible):
   Start location: l7
     20: l2 -> [8] : [ 1+i^0<=__const_10^0 && -__const_5^0+i^0==0 && 2+i^post_5<=__const_10^0 && 1-__const_5^0+i^post_5==0 ], cost: NONTERM
     21: l2 -> l2 : i^0'=__const_10^0, j^0'=-1+__const_10^0, [ 1+__const_5^0<=i^0 && -i^0+__const_10^0>=1 ], cost: -5*i^0+5*__const_10^0
     22: l2 -> l2 : i^0'=__const_10^0, j^0'=-1+__const_10^0, [ -i^0+__const_10^0>=1 && __const_10^0<=__const_5^0 ], cost: -5*i^0+5*__const_10^0
     23: l2 -> l2 : i^0'=__const_5^0, j^0'=-1+__const_5^0, [ __const_5^0-i^0>=1 && __const_5^0<=__const_10^0 ], cost: 5*__const_5^0-5*i^0
     24: l2 -> [8] : [ 1+i^0<=__const_10^0 && -__const_5^0+i^0==0 && -1+__const_5^0-i^post_5>=1 && __const_5^0<=__const_10^0 ], cost: NONTERM
     25: l2 -> [8] : [ __const_5^0-i^0>=1 && 1+__const_5^0<=__const_10^0 && -1+__const_5^0-i^post_5>=1 ], cost: NONTERM
     10: l7 -> l2 : i^0'=0, [], cost: 2

Chained accelerated rules (with incoming rules):
   Start location: l7
     10: l7 -> l2 : i^0'=0, [], cost: 2
     26: l7 -> [8] : [ 1<=__const_10^0 && -__const_5^0==0 && 1+__const_5^0<=__const_10^0 ], cost: NONTERM
     27: l7 -> l2 : i^0'=__const_10^0, j^0'=-1+__const_10^0, [ 1+__const_5^0<=0 && __const_10^0>=1 ], cost: 2+5*__const_10^0
     28: l7 -> l2 : i^0'=__const_10^0, j^0'=-1+__const_10^0, [ __const_10^0>=1 && __const_10^0<=__const_5^0 ], cost: 2+5*__const_10^0
     29: l7 -> l2 : i^0'=__const_5^0, j^0'=-1+__const_5^0, [ __const_5^0>=1 && __const_5^0<=__const_10^0 ], cost: 2+5*__const_5^0
     30: l7 -> [8] : [ 1<=__const_10^0 && -__const_5^0==0 && __const_5^0<=__const_10^0 ], cost: NONTERM
     31: l7 -> [8] : [ __const_5^0>=1 && 1+__const_5^0<=__const_10^0 ], cost: NONTERM

Removed unreachable locations (and leaf rules with constant cost):
   Start location: l7
     26: l7 -> [8] : [ 1<=__const_10^0 && -__const_5^0==0 && 1+__const_5^0<=__const_10^0 ], cost: NONTERM
     27: l7 -> l2 : i^0'=__const_10^0, j^0'=-1+__const_10^0, [ 1+__const_5^0<=0 && __const_10^0>=1 ], cost: 2+5*__const_10^0
     28: l7 -> l2 : i^0'=__const_10^0, j^0'=-1+__const_10^0, [ __const_10^0>=1 && __const_10^0<=__const_5^0 ], cost: 2+5*__const_10^0
     29: l7 -> l2 : i^0'=__const_5^0, j^0'=-1+__const_5^0, [ __const_5^0>=1 && __const_5^0<=__const_10^0 ], cost: 2+5*__const_5^0
     30: l7 -> [8] : [ 1<=__const_10^0 && -__const_5^0==0 && __const_5^0<=__const_10^0 ], cost: NONTERM
     31: l7 -> [8] : [ __const_5^0>=1 && 1+__const_5^0<=__const_10^0 ], cost: NONTERM

### Computing asymptotic complexity ###

Fully simplified ITS problem
   Start location: l7
     26: l7 -> [8] : [ 1<=__const_10^0 && -__const_5^0==0 && 1+__const_5^0<=__const_10^0 ], cost: NONTERM
     27: l7 -> l2 : i^0'=__const_10^0, j^0'=-1+__const_10^0, [ 1+__const_5^0<=0 && __const_10^0>=1 ], cost: 2+5*__const_10^0
     28: l7 -> l2 : i^0'=__const_10^0, j^0'=-1+__const_10^0, [ __const_10^0>=1 && __const_10^0<=__const_5^0 ], cost: 2+5*__const_10^0
     29: l7 -> l2 : i^0'=__const_5^0, j^0'=-1+__const_5^0, [ __const_5^0>=1 && __const_5^0<=__const_10^0 ], cost: 2+5*__const_5^0
     30: l7 -> [8] : [ 1<=__const_10^0 && -__const_5^0==0 && __const_5^0<=__const_10^0 ], cost: NONTERM
     31: l7 -> [8] : [ __const_5^0>=1 && 1+__const_5^0<=__const_10^0 ], cost: NONTERM

Computing asymptotic complexity for rule 31
   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:  [ __const_5^0>=1 && 1+__const_5^0<=__const_10^0 ]

NO