/export/starexec/sandbox2/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


MAYBE
We consider the system theBenchmark.

We are asked to determine termination of the following first-order TRS.

  !minus : [o * o] --> o 
  0 : [] --> o 
  f : [o * o] --> o 
  min : [o * o] --> o 
  s : [o] --> o 
  twice : [o] --> o 

  !minus(X, 0) => X 
  !minus(s(X), s(Y)) => !minus(X, Y) 
  min(X, 0) => 0 
  min(0, X) => 0 
  min(s(X), s(Y)) => s(min(X, Y)) 
  twice(0) => 0 
  twice(s(X)) => s(s(twice(X))) 
  f(s(X), s(Y)) => f(!minus(Y, min(X, Y)), s(twice(min(X, Y)))) 
  f(s(X), s(Y)) => f(!minus(X, min(X, Y)), s(twice(min(X, Y))))