/export/starexec/sandbox2/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/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 
  a : [] --> o 
  f : [o] --> o 
  g : [o] --> o 
  h : [o * o] --> o 
  k : [o] --> o 
  p : [o] --> o 
  r : [o] --> o 
  s : [o] --> o 

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