/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 
  cons : [o * o] --> o 
  dbl : [o] --> o 
  first : [o * o] --> o 
  half : [o] --> o 
  nil : [] --> o 
  recip : [o] --> o 
  s : [o] --> o 
  sqr : [o] --> o 
  terms : [o] --> o 

  terms(X) => cons(recip(sqr(X)), terms(s(X))) 
  sqr(0) => 0 
  sqr(s(X)) => s(add(sqr(X), dbl(X))) 
  dbl(0) => 0 
  dbl(s(X)) => s(s(dbl(X))) 
  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)) 
  half(0) => 0 
  half(s(0)) => 0 
  half(s(s(X))) => s(half(X)) 
  half(dbl(X)) => X