/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.

  app : [o * o] --> o 
  append : [] --> o 
  combine : [] --> o 
  cons : [] --> o 
  levels : [] --> o 
  map : [] --> o 
  nil : [] --> o 
  node : [] --> o 
  zip : [] --> o 

  app(app(map, X), nil) => nil 
  app(app(map, X), app(app(cons, Y), Z)) => app(app(cons, app(X, Y)), app(app(map, X), Z)) 
  app(app(append, X), nil) => X 
  app(app(append, nil), X) => X 
  app(app(append, app(app(cons, X), Y)), Z) => app(app(cons, X), app(app(append, Y), Z)) 
  app(app(zip, nil), X) => X 
  app(app(zip, X), nil) => X 
  app(app(zip, app(app(cons, X), Y)), app(app(cons, Z), U)) => app(app(cons, app(app(append, X), Z)), app(app(zip, Y), U)) 
  app(app(combine, X), nil) => X 
  app(app(combine, X), app(app(cons, Y), Z)) => app(app(combine, app(app(zip, X), Y)), Z) 
  app(levels, app(app(node, X), Y)) => app(app(cons, app(app(cons, X), nil)), app(app(combine, nil), app(app(map, levels), Y)))