/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 
  U11 : [o * o] --> o 
  U12 : [o * o] --> o 
  U21 : [o * o * o * o] --> o 
  U22 : [o * o * o * o] --> o 
  U23 : [o * o * o * o] --> o 
  activate : [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) 
  U11(tt, X) => U12(tt, activate(X)) 
  U12(tt, X) => s(length(activate(X))) 
  U21(tt, X, Y, Z) => U22(tt, activate(X), activate(Y), activate(Z)) 
  U22(tt, X, Y, Z) => U23(tt, activate(X), activate(Y), activate(Z)) 
  U23(tt, X, Y, Z) => cons(activate(Z), n!6220!6220take(activate(Y), activate(X))) 
  length(nil) => 0 
  length(cons(X, Y)) => U11(tt, activate(Y)) 
  take(0, X) => nil 
  take(s(X), cons(Y, Z)) => U21(tt, activate(Z), X, Y) 
  zeros => n!6220!6220zeros 
  take(X, Y) => n!6220!6220take(X, Y) 
  activate(n!6220!6220zeros) => zeros 
  activate(n!6220!6220take(X, Y)) => take(activate(X), activate(Y)) 
  activate(X) => X