/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 
  add : [o * o] --> o 
  and : [o * o] --> o 
  cons : [o * o] --> o 
  false : [] --> o 
  first : [o * o] --> o 
  from : [o] --> o 
  if : [o * o * o] --> o 
  n!6220!6220add : [o * o] --> o 
  n!6220!6220first : [o * o] --> o 
  n!6220!6220from : [o] --> o 
  n!6220!6220s : [o] --> o 
  nil : [] --> o 
  s : [o] --> o 
  true : [] --> o 

  and(true, X) => activate(X) 
  and(false, X) => false 
  if(true, X, Y) => activate(X) 
  if(false, X, Y) => activate(Y) 
  add(0, X) => activate(X) 
  add(s(X), Y) => s(n!6220!6220add(activate(X), activate(Y))) 
  first(0, X) => nil 
  first(s(X), cons(Y, Z)) => cons(activate(Y), n!6220!6220first(activate(X), activate(Z))) 
  from(X) => cons(activate(X), n!6220!6220from(n!6220!6220s(activate(X)))) 
  add(X, Y) => n!6220!6220add(X, Y) 
  first(X, Y) => n!6220!6220first(X, Y) 
  from(X) => n!6220!6220from(X) 
  s(X) => n!6220!6220s(X) 
  activate(n!6220!6220add(X, Y)) => add(activate(X), Y) 
  activate(n!6220!6220first(X, Y)) => first(activate(X), activate(Y)) 
  activate(n!6220!6220from(X)) => from(X) 
  activate(n!6220!6220s(X)) => s(X) 
  activate(X) => X