/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 
  div : [o * o] --> o 
  f : [o * o * o] --> o 
  minus : [o * o] --> o 
  s : [o] --> o 

  minus(X, X) => 0 
  minus(s(X), s(Y)) => minus(X, Y) 
  minus(0, X) => 0 
  minus(X, 0) => X 
  div(s(X), s(Y)) => s(div(minus(X, Y), s(Y))) 
  div(0, s(X)) => 0 
  f(X, 0, Y) => X 
  f(X, s(Y), Z) => div(f(X, minus(s(Y), s(0)), Z), Z)