/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 
  false : [] --> o 
  filter : [] --> o 
  filtersub : [] --> o 
  neq : [] --> o 
  nil : [] --> o 
  nonzero : [] --> o 
  s : [] --> o 
  true : [] --> o 

  app(app(neq, 0), 0) => false 
  app(app(neq, 0), app(s, X)) => true 
  app(app(neq, app(s, X)), 0) => true 
  app(app(neq, app(s, X)), app(s, Y)) => app(app(neq, X), Y) 
  app(app(filter, X), nil) => nil 
  app(app(filter, X), app(app(cons, Y), Z)) => app(app(app(filtersub, app(X, Y)), X), app(app(cons, Y), Z)) 
  app(app(app(filtersub, true), X), app(app(cons, Y), Z)) => app(app(cons, Y), app(app(filter, X), Z)) 
  app(app(app(filtersub, false), X), app(app(cons, Y), Z)) => app(app(filter, X), Z) 
  nonzero => app(filter, app(neq, 0))