/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 
  ack : [] --> o 
  app : [o * o] --> o 
  cons : [] --> o 
  false : [] --> o 
  filter : [] --> o 
  filter2 : [] --> o 
  map : [] --> o 
  nil : [] --> o 
  succ : [] --> o 
  true : [] --> o 

  app(app(ack, 0), X) => app(succ, X) 
  app(app(ack, app(succ, X)), Y) => app(app(ack, X), app(succ, 0)) 
  app(app(ack, app(succ, X)), app(succ, Y)) => app(app(ack, X), app(app(ack, app(succ, X)), Y)) 
  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)