/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 
  eq : [o * o] --> o 
  false : [] --> o 
  inf : [o] --> o 
  length : [o] --> o 
  nil : [] --> o 
  s : [o] --> o 
  take : [o * o] --> o 
  true : [] --> o 

  eq(0, 0) => true 
  eq(s(X), s(Y)) => eq(X, Y) 
  eq(X, Y) => false 
  inf(X) => cons(X, inf(s(X))) 
  take(0, X) => nil 
  take(s(X), cons(Y, Z)) => cons(Y, take(X, Z)) 
  length(nil) => 0 
  length(cons(X, Y)) => s(length(Y))