/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 
  fac : [o * o] --> o 
  factorial : [o] --> o 
  p : [o] --> o 
  plus : [o * o] --> o 
  s : [o] --> o 
  times : [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)) 
  p(s(0)) => 0 
  p(s(s(X))) => s(p(s(X))) 
  fac(0, X) => X 
  fac(s(X), Y) => fac(p(s(X)), times(s(X), Y)) 
  factorial(X) => fac(X, s(0))