/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 
  activate : [o] --> o 
  cons : [o * o] --> o 
  eq : [o * o] --> o 
  false : [] --> o 
  inf : [o] --> o 
  length : [o] --> o 
  n!6220!62200 : [] --> o 
  n!6220!6220inf : [o] --> o 
  n!6220!6220length : [o] --> o 
  n!6220!6220s : [o] --> o 
  n!6220!6220take : [o * o] --> o 
  nil : [] --> o 
  s : [o] --> o 
  take : [o * o] --> o 
  true : [] --> o 

  eq(n!6220!62200, n!6220!62200) => true 
  eq(n!6220!6220s(X), n!6220!6220s(Y)) => eq(activate(X), activate(Y)) 
  eq(X, Y) => false 
  inf(X) => cons(X, n!6220!6220inf(n!6220!6220s(X))) 
  take(0, X) => nil 
  take(s(X), cons(Y, Z)) => cons(activate(Y), n!6220!6220take(activate(X), activate(Z))) 
  length(nil) => 0 
  length(cons(X, Y)) => s(n!6220!6220length(activate(Y))) 
  0 => n!6220!62200 
  s(X) => n!6220!6220s(X) 
  inf(X) => n!6220!6220inf(X) 
  take(X, Y) => n!6220!6220take(X, Y) 
  length(X) => n!6220!6220length(X) 
  activate(n!6220!62200) => 0 
  activate(n!6220!6220s(X)) => s(X) 
  activate(n!6220!6220inf(X)) => inf(activate(X)) 
  activate(n!6220!6220take(X, Y)) => take(activate(X), activate(Y)) 
  activate(n!6220!6220length(X)) => length(activate(X)) 
  activate(X) => X