/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 
  fact : [o] --> o 
  false : [] --> o 
  if : [o * o * o] --> o 
  n!6220!62200 : [] --> o 
  n!6220!6220fact : [o] --> o 
  n!6220!6220p : [o] --> o 
  n!6220!6220prod : [o * o] --> o 
  n!6220!6220s : [o] --> o 
  p : [o] --> o 
  prod : [o * o] --> o 
  s : [o] --> o 
  true : [] --> o 
  zero : [o] --> o 

  fact(X) => if(zero(X), n!6220!6220s(n!6220!62200), n!6220!6220prod(X, n!6220!6220fact(n!6220!6220p(X)))) 
  add(0, X) => X 
  add(s(X), Y) => s(add(X, Y)) 
  prod(0, X) => 0 
  prod(s(X), Y) => add(Y, prod(X, Y)) 
  if(true, X, Y) => activate(X) 
  if(false, X, Y) => activate(Y) 
  zero(0) => true 
  zero(s(X)) => false 
  p(s(X)) => X 
  s(X) => n!6220!6220s(X) 
  0 => n!6220!62200 
  prod(X, Y) => n!6220!6220prod(X, Y) 
  fact(X) => n!6220!6220fact(X) 
  p(X) => n!6220!6220p(X) 
  activate(n!6220!6220s(X)) => s(activate(X)) 
  activate(n!6220!62200) => 0 
  activate(n!6220!6220prod(X, Y)) => prod(activate(X), activate(Y)) 
  activate(n!6220!6220fact(X)) => fact(activate(X)) 
  activate(n!6220!6220p(X)) => p(activate(X)) 
  activate(X) => X