/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 
  app : [o * o] --> o 
  cons : [] --> o 
  map : [] --> o 
  nil : [] --> o 
  node : [] --> o 
  plus : [] --> o 
  s : [] --> o 
  size : [] --> o 
  sum : [] --> 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(sum, app(app(cons, X), Y)) => app(app(plus, X), app(sum, Y)) 
  app(size, app(app(node, X), Y)) => app(s, app(sum, app(app(map, size), Y))) 
  app(app(plus, 0), X) => 0 
  app(app(plus, app(s, X)), Y) => app(s, app(app(plus, X), Y))