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


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MAYBE
We consider the system theBenchmark.

We are asked to determine termination of the following first-order TRS.

  0 : [] --> o 
  f : [o] --> o 
  g : [o] --> o 
  h : [o * o] --> o 
  k : [o] --> o 
  s : [o] --> o 

  s(s(0)) => f(s(0)) 
  g(X) => h(X, X) 
  s(X) => h(X, 0) 
  s(X) => h(0, X) 
  f(g(X)) => g(g(f(X))) 
  g(s(X)) => s(s(g(X))) 
  h(f(X), g(X)) => f(s(X)) 
  s(s(s(0))) => k(0) 
  k(0) => s(0) 
  s(s(s(s(0)))) => k(s(0)) 
  k(s(0)) => s(s(0)) 
  s(s(s(s(s(s(s(s(s(0))))))))) => k(s(s(0))) 
  k(s(s(0))) => s(s(s(s(s(s(s(0))))))) 
  h(k(X), g(X)) => k(s(X))