/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 
  and : [o * o] --> o 
  cons : [o * o] --> o 
  length : [o] --> o 
  n!6220!6220take : [o * o] --> o 
  n!6220!6220zeros : [] --> o 
  nil : [] --> o 
  s : [o] --> o 
  take : [o * o] --> o 
  tt : [] --> o 
  zeros : [] --> o 

  zeros => cons(0, n!6220!6220zeros) 
  and(tt, X) => activate(X) 
  length(nil) => 0 
  length(cons(X, Y)) => s(length(activate(Y))) 
  take(0, X) => nil 
  take(s(X), cons(Y, Z)) => cons(Y, n!6220!6220take(X, activate(Z))) 
  zeros => n!6220!6220zeros 
  take(X, Y) => n!6220!6220take(X, Y) 
  activate(n!6220!6220zeros) => zeros 
  activate(n!6220!6220take(X, Y)) => take(X, Y) 
  activate(X) => X