/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 
  app : [o * o] --> o 
  cons : [] --> o 
  f : [] --> o 
  false : [] --> o 
  filter : [] --> o 
  filter2 : [] --> o 
  g : [] --> o 
  map : [] --> o 
  minus : [] --> o 
  nil : [] --> o 
  s : [] --> o 
  true : [] --> o 

  app(app(minus, X), 0) => X 
  app(app(minus, app(s, X)), app(s, Y)) => app(app(minus, X), Y) 
  app(f, 0) => app(s, 0) 
  app(f, app(s, X)) => app(app(minus, app(s, X)), app(g, app(f, X))) 
  app(g, 0) => 0 
  app(g, app(s, X)) => app(app(minus, app(s, X)), app(f, app(g, X))) 
  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(filter, X), nil) => nil 
  app(app(filter, X), app(app(cons, Y), Z)) => app(app(app(app(filter2, app(X, Y)), X), Y), Z) 
  app(app(app(app(filter2, true), X), Y), Z) => app(app(cons, Y), app(app(filter, X), Z)) 
  app(app(app(app(filter2, false), X), Y), Z) => app(app(filter, X), Z)