0.00/0.45	YES
0.00/0.46	
0.00/0.46	
0.00/0.46	The system was reversed.
0.00/0.46	
0.00/0.46	Remains to prove termination of the 2-rule system
0.00/0.46	{ b b a -> a a b ,
0.00/0.46	  b a a -> a b b }
0.00/0.46	
0.00/0.46	
0.00/0.46	The dependency pairs transformation was applied.
0.00/0.46	
0.00/0.46	Remains to prove termination of the 5-rule system
0.00/0.46	{ (b,true) (b,false) (a,false) -> (b,true) ,
0.00/0.46	  (b,true) (a,false) (a,false) -> (b,true) (b,false) ,
0.00/0.46	  (b,true) (a,false) (a,false) -> (b,true) ,
0.00/0.46	  (b,false) (b,false) (a,false) ->= (a,false) (a,false) (b,false) ,
0.00/0.46	  (b,false) (a,false) (a,false) ->= (a,false) (b,false) (b,false) }
0.00/0.46	
0.00/0.46	
0.00/0.46	
0.00/0.46	
0.00/0.46	The system was filtered by the following matrix interpretation
0.00/0.46	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.46	
0.00/0.46	(b,true) is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	(b,false) is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 1 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	(a,false) is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 1 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	
0.00/0.46	Remains to prove termination of the 2-rule system
0.00/0.46	{ (b,false) (b,false) (a,false) ->= (a,false) (a,false) (b,false) ,
0.00/0.46	  (b,false) (a,false) (a,false) ->= (a,false) (b,false) (b,false) }
0.00/0.46	
0.00/0.46	
0.00/0.46	The system is trivially terminating.
0.00/0.49	EOF