/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

** BEGIN proof argument **
All the DP problems were proved finite.
As all the involved DP processors are sound,
the TRS under analysis terminates.
** END proof argument **

** BEGIN proof description **
## Searching for a generalized rewrite rule
(a rule whose right-hand side contains a variable
that does not occur in the left-hand side)...
No generalized rewrite rule found!

## Applying the DP framework...
## 1 initial DP problem to solve.
## First, we try to decompose this problem into smaller problems.
## Round 1 [1 DP problem]:
  ## DP problem:
  Dependency pairs = [div^#(_0,e) -> i^#(_0), i^#(div(_0,_1)) -> div^#(_1,_0), div^#(div(_0,_1),_2) -> i^#(_0), div^#(div(_0,_1),_2) -> div^#(_1,div(i(_0),_2)), div^#(div(_0,_1),_2) -> div^#(i(_0),_2)]
  TRS = {div(_0,e) -> i(_0), i(div(_0,_1)) -> div(_1,_0), div(div(_0,_1),_2) -> div(_1,div(i(_0),_2))}
    ## Trying with homeomorphic embeddings... Failed!
    ## Trying with polynomial interpretations...
      The constraints are satisfied by the polynomials:
      {e:[0], i(_0):[_0], div(_0,_1):[1 + _0 + _1], div^#(_0,_1):[_0], i^#(_0):[_0]}
      for all instantiations of the variables with values greater than or equal to mu = 0.
  This DP problem is finite.
## All the DP problems were proved finite.
As all the involved DP processors are sound,
the TRS under analysis terminates.
Proof run on Linux version 3.10.0-1160.25.1.el7.x86_64 for amd64
using Java version 1.8.0_292
** END proof description **
Total number of generated unfolded rules = 0