/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 
  f : [o * o * o] --> o 
  max : [o * o] --> o 
  min : [o * o] --> o 
  p : [o] --> o 
  s : [o] --> o 

  min(0, X) => 0 
  min(X, 0) => 0 
  min(s(X), s(Y)) => s(min(X, Y)) 
  max(0, X) => X 
  max(X, 0) => X 
  max(s(X), s(Y)) => s(max(X, Y)) 
  p(s(X)) => X 
  f(s(X), s(Y), s(Z)) => f(max(s(X), max(s(Y), s(Z))), p(min(s(X), max(s(Y), s(Z)))), min(s(X), min(s(Y), s(Z)))) 
  f(0, X, Y) => max(X, Y) 
  f(X, 0, Y) => max(X, Y) 
  f(X, Y, 0) => max(X, Y)