/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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MAYBE

** 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...
## 2 initial DP problems to solve.
## First, we try to decompose these problems into smaller problems.
## Round 1 [2 DP problems]:
  ## DP problem:
  Dependency pairs = [f^#(a,f(b,f(a,_0))) -> f^#(a,f(b,f(b,f(a,_0)))), f^#(a,f(b,f(a,_0))) -> f^#(a,_0)]
  TRS = {f(a,f(b,f(a,_0))) -> f(a,f(b,f(b,f(a,_0)))), f(b,f(b,f(b,_0))) -> f(b,f(b,_0))}
    ## Trying with homeomorphic embeddings... Failed!
    ## Trying with polynomial interpretations...
    Successfully decomposed the DP problem into 1 smaller problem to solve!
  ## DP problem:
  Dependency pairs = [f^#(b,f(b,f(b,_0))) -> f^#(b,f(b,_0)), f^#(b,f(b,f(b,_0))) -> f^#(b,_0)]
  TRS = {f(a,f(b,f(a,_0))) -> f(a,f(b,f(b,f(a,_0)))), f(b,f(b,f(b,_0))) -> f(b,f(b,_0))}
    ## Trying with homeomorphic embeddings... Success!
  This DP problem is finite.
## Round 2 [1 DP problem]:
  ## DP problem:
  Dependency pairs = [f^#(a,f(b,f(a,_0))) -> f^#(a,f(b,f(b,f(a,_0))))]
  TRS = {f(a,f(b,f(a,_0))) -> f(a,f(b,f(b,f(a,_0)))), f(b,f(b,f(b,_0))) -> f(b,f(b,_0))}
    ## Trying with homeomorphic embeddings... Failed!
    ## Trying with polynomial interpretations... Failed!
    ## Trying with lexicographic path orders... Failed!
    ## Trying with Knuth-Bendix orders... Failed!
  Don't know whether this DP problem is finite.
## A DP problem could not be proved finite.
## Now, we try to prove that this problem is infinite.
## Could not solve the following DP problems:
1: Dependency pairs = [f^#(a,f(b,f(a,_0))) -> f^#(a,f(b,f(b,f(a,_0))))]
TRS = {f(a,f(b,f(a,_0))) -> f(a,f(b,f(b,f(a,_0)))), f(b,f(b,f(b,_0))) -> f(b,f(b,_0))}
Hence, could not prove (non)termination of the TRS under analysis.
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 = 230