/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 
  false : [] --> o 
  if : [o * o * o] --> o 
  le : [o * o] --> o 
  minus : [o * o] --> o 
  p : [o] --> o 
  s : [o] --> o 
  true : [] --> o 

  p(0) => s(s(0)) 
  p(s(X)) => X 
  p(p(s(X))) => p(X) 
  le(p(s(X)), X) => le(X, X) 
  le(0, X) => true 
  le(s(X), 0) => false 
  le(s(X), s(Y)) => le(X, Y) 
  minus(X, Y) => if(le(X, Y), X, Y) 
  if(true, X, Y) => 0 
  if(false, X, Y) => s(minus(p(X), Y))