/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 
  activate : [o] --> o 
  cons : [o * o] --> o 
  head : [o] --> o 
  incr : [o] --> o 
  n!6220!6220incr : [o] --> o 
  n!6220!6220nats : [] --> o 
  n!6220!6220odds : [] --> o 
  nats : [] --> o 
  odds : [] --> o 
  pairs : [] --> o 
  s : [o] --> o 
  tail : [o] --> o 

  nats => cons(0, n!6220!6220incr(n!6220!6220nats)) 
  pairs => cons(0, n!6220!6220incr(n!6220!6220odds)) 
  odds => incr(pairs) 
  incr(cons(X, Y)) => cons(s(X), n!6220!6220incr(activate(Y))) 
  head(cons(X, Y)) => X 
  tail(cons(X, Y)) => activate(Y) 
  incr(X) => n!6220!6220incr(X) 
  nats => n!6220!6220nats 
  odds => n!6220!6220odds 
  activate(n!6220!6220incr(X)) => incr(activate(X)) 
  activate(n!6220!6220nats) => nats 
  activate(n!6220!6220odds) => odds 
  activate(X) => X