NO

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

Initial linear ITS problem
   Start location: [0]
      0: [0] -> [1] : [ z>=2 && y>=3 ], cost: 1
      1: [1] -> [2] : [ x>=0 ], cost: 1
      3: [1] -> [3] : [ x<0 ], cost: 1
      2: [2] -> [1] : y'=1+y, x'=z*y^(-1), [], cost: 1

Checking for constant complexity:
   The following rule is satisfiable with cost >= 1, yielding constant complexity:
      0: [0] -> [1] : [ z>=2 && y>=3 ], cost: 1

Removed unreachable and leaf rules:
   Start location: [0]
      0: [0] -> [1] : [ z>=2 && y>=3 ], cost: 1
      1: [1] -> [2] : [ x>=0 ], cost: 1
      2: [2] -> [1] : y'=1+y, x'=z*y^(-1), [], cost: 1

### Simplification by acceleration and chaining ###

Eliminated locations (on linear paths):
   Start location: [0]
      0: [0] -> [1] : [ z>=2 && y>=3 ], cost: 1
      4: [1] -> [1] : y'=1+y, x'=z*y^(-1), [ x>=0 ], cost: 2

Accelerating simple loops of location 1.
   Accelerating the following rules:
      4: [1] -> [1] : y'=1+y, x'=z*y^(-1), [ x>=0 ], cost: 2

   Accelerated rule 4 with non-termination, yielding the new rule 5.
[accelerate] Nesting with 0 inner and 0 outer candidates
   Removing the simple loops: 4.

Accelerated all simple loops using metering functions (where possible):
   Start location: [0]
      0: [0] -> [1] : [ z>=2 && y>=3 ], cost: 1
      5: [1] -> [4] : [ x>=0 ], cost: NONTERM

Chained accelerated rules (with incoming rules):
   Start location: [0]
      0: [0] -> [1] : [ z>=2 && y>=3 ], cost: 1
      6: [0] -> [4] : [ z>=2 && y>=3 && x>=0 ], cost: NONTERM

Removed unreachable locations (and leaf rules with constant cost):
   Start location: [0]
      6: [0] -> [4] : [ z>=2 && y>=3 && x>=0 ], cost: NONTERM

### Computing asymptotic complexity ###

Fully simplified ITS problem
   Start location: [0]
      6: [0] -> [4] : [ z>=2 && y>=3 && x>=0 ], cost: NONTERM

Computing asymptotic complexity for rule 6
   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:  [ z>=2 && y>=3 && x>=0 ]

NO