/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 
  incr : [o] --> o 
  n!6220!6220cons : [o * o] --> o 
  n!6220!6220incr : [o] --> o 
  n!6220!6220repItems : [o] --> o 
  n!6220!6220take : [o * o] --> o 
  n!6220!6220zip : [o * o] --> o 
  nil : [] --> o 
  oddNs : [] --> o 
  pair : [o * o] --> o 
  pairNs : [] --> o 
  repItems : [o] --> o 
  s : [o] --> o 
  tail : [o] --> o 
  take : [o * o] --> o 
  zip : [o * o] --> o 

  pairNs => cons(0, n!6220!6220incr(oddNs)) 
  oddNs => incr(pairNs) 
  incr(cons(X, Y)) => cons(s(X), n!6220!6220incr(activate(Y))) 
  take(0, X) => nil 
  take(s(X), cons(Y, Z)) => cons(Y, n!6220!6220take(X, activate(Z))) 
  zip(nil, X) => nil 
  zip(X, nil) => nil 
  zip(cons(X, Y), cons(Z, U)) => cons(pair(X, Z), n!6220!6220zip(activate(Y), activate(U))) 
  tail(cons(X, Y)) => activate(Y) 
  repItems(nil) => nil 
  repItems(cons(X, Y)) => cons(X, n!6220!6220cons(X, n!6220!6220repItems(activate(Y)))) 
  incr(X) => n!6220!6220incr(X) 
  take(X, Y) => n!6220!6220take(X, Y) 
  zip(X, Y) => n!6220!6220zip(X, Y) 
  cons(X, Y) => n!6220!6220cons(X, Y) 
  repItems(X) => n!6220!6220repItems(X) 
  activate(n!6220!6220incr(X)) => incr(X) 
  activate(n!6220!6220take(X, Y)) => take(X, Y) 
  activate(n!6220!6220zip(X, Y)) => zip(X, Y) 
  activate(n!6220!6220cons(X, Y)) => cons(X, Y) 
  activate(n!6220!6220repItems(X)) => repItems(X) 
  activate(X) => X