/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 
  Cons : [o * o] --> o 
  add : [o * o * o] --> o 
  and : [o * o] --> o 
  false : [] --> o 
  isList : [o] --> o 
  isNat : [o] --> o 
  nil : [] --> o 
  s : [o] --> o 
  true : [] --> o 

  add(true, X, Y) => add(and(isNat(X), isList(Y)), X, Cons(X, Y)) 
  isList(Cons(X, Y)) => isList(Y) 
  isList(nil) => true 
  isNat(s(X)) => isNat(X) 
  isNat(0) => true 
  and(true, true) => true 
  and(false, X) => false 
  and(X, false) => false