3.69/1.23	YES
4.07/1.25	
4.07/1.25	
4.07/1.25	The system was reversed.
4.07/1.25	
4.07/1.25	Remains to prove termination of the 1-rule system
4.07/1.25	{ a a a a b a -> b a a b a b a a b a a a a a }
4.07/1.25	
4.07/1.25	
4.07/1.25	The dependency pairs transformation was applied.
4.07/1.25	
4.07/1.25	Remains to prove termination of the 11-rule system
4.07/1.25	{ (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
4.07/1.25	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
4.07/1.25	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (b,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
4.07/1.25	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
4.07/1.25	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
4.07/1.25	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) ,
4.07/1.25	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) ,
4.07/1.25	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) ,
4.07/1.25	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) ,
4.07/1.25	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) ,
4.07/1.25	  (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) ->= (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
4.07/1.25	
4.07/1.25	
4.07/1.25	
4.07/1.25	
4.07/1.25	The system was filtered by the following matrix interpretation
4.07/1.25	of type E_J with J = {1,...,2} and dimension 7:
4.07/1.25	
4.07/1.25	(a,true) is interpreted by
4.07/1.25	 /             \
4.07/1.25	| 1 0 1 0 0 0 0 |
4.07/1.25	| 0 1 0 0 0 0 0 |
4.07/1.25	| 0 0 0 0 0 0 0 |
4.07/1.25	| 0 0 0 0 0 0 0 |
4.07/1.25	| 0 0 0 0 0 0 0 |
4.07/1.25	| 0 0 0 0 0 0 0 |
4.07/1.25	| 0 0 0 0 0 0 0 |
4.07/1.25	 \             /
4.07/1.25	(a,false) is interpreted by
4.07/1.25	 /             \
4.07/1.25	| 1 0 0 0 0 0 0 |
4.07/1.25	| 0 1 0 0 0 0 0 |
4.07/1.25	| 0 0 0 2 0 0 0 |
4.07/1.25	| 0 0 0 0 2 0 0 |
4.07/1.25	| 0 0 0 0 0 1 0 |
4.07/1.25	| 0 0 1 0 0 0 0 |
4.07/1.25	| 0 1 1 0 1 0 0 |
4.07/1.25	 \             /
4.07/1.25	(b,false) is interpreted by
4.07/1.25	 /             \
4.07/1.25	| 1 0 0 0 0 0 0 |
4.07/1.25	| 0 1 0 0 0 0 0 |
4.07/1.25	| 0 0 0 0 0 0 0 |
4.07/1.25	| 0 0 0 0 0 0 0 |
4.07/1.25	| 0 0 0 0 0 0 0 |
4.07/1.25	| 0 0 1 0 1 0 1 |
4.07/1.25	| 0 0 0 0 0 0 0 |
4.07/1.25	 \             /
4.07/1.25	
4.07/1.25	Remains to prove termination of the 1-rule system
4.07/1.25	{ (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) ->= (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
4.07/1.25	
4.07/1.25	
4.07/1.25	The system is trivially terminating.
4.07/1.30	EOF