/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 
  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 
  nil : [] --> o 
  s : [o] --> o 
  true : [] --> o 

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