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


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


MAYBE
We consider the system theBenchmark.

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

  0 : [] --> o 
  false : [] --> o 
  gcd : [o * o] --> o 
  if!6220gcd : [o * o * o] --> o 
  le : [o * o] --> o 
  minus : [o * o] --> o 
  s : [o] --> o 
  true : [] --> o 

  le(0, X) => true 
  le(s(X), 0) => false 
  le(s(X), s(Y)) => le(X, Y) 
  minus(X, 0) => X 
  minus(0, X) => 0 
  minus(s(X), s(Y)) => minus(X, Y) 
  gcd(0, X) => X 
  gcd(s(X), 0) => s(X) 
  gcd(s(X), s(Y)) => if!6220gcd(le(Y, X), s(X), s(Y)) 
  if!6220gcd(true, X, Y) => gcd(minus(X, Y), Y) 
  if!6220gcd(false, X, Y) => gcd(minus(Y, X), X)