/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 
  exp : [o * o] --> o 
  p : [o] --> o 
  plus : [o * o] --> o 
  s : [o] --> o 
  times : [o * o] --> o 
  tower : [o * o] --> o 
  towerIter : [o * o * o] --> o 

  plus(0, X) => X 
  plus(s(X), Y) => s(plus(p(s(X)), Y)) 
  times(0, X) => 0 
  times(s(X), Y) => plus(Y, times(p(s(X)), Y)) 
  exp(X, 0) => s(0) 
  exp(X, s(Y)) => times(X, exp(X, Y)) 
  p(s(0)) => 0 
  p(s(s(X))) => s(p(s(X))) 
  tower(X, Y) => towerIter(X, Y, s(0)) 
  towerIter(0, X, Y) => Y 
  towerIter(s(X), Y, Z) => towerIter(p(s(X)), Y, exp(Y, Z))