2.08/0.74	YES
2.08/0.76	
2.08/0.76	
2.08/0.76	The system was reversed.
2.08/0.76	
2.08/0.76	Remains to prove termination of the 1-rule system
2.08/0.76	{ a a a a b a a -> b a a a b a a a a a a }
2.08/0.76	
2.08/0.76	
2.08/0.76	The dependency pairs transformation was applied.
2.08/0.76	
2.08/0.76	Remains to prove termination of the 10-rule system
2.08/0.76	{ (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
2.08/0.76	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
2.08/0.76	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
2.08/0.76	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) ,
2.08/0.76	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) ,
2.08/0.76	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) ,
2.08/0.76	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) ,
2.08/0.76	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) (a,false) ,
2.08/0.76	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) ,
2.08/0.76	  (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) ->= (b,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
2.08/0.76	
2.08/0.76	
2.08/0.76	
2.08/0.76	
2.08/0.76	The system was filtered by the following matrix interpretation
2.08/0.76	of type E_J with J = {1,...,2} and dimension 8:
2.08/0.76	
2.08/0.76	(a,true) is interpreted by
2.08/0.76	 /               \
2.08/0.76	| 1 0 1 0 0 0 0 0 |
2.08/0.76	| 0 1 0 0 0 0 0 0 |
2.08/0.76	| 0 0 0 0 0 0 0 0 |
2.08/0.76	| 0 0 0 0 0 0 0 0 |
2.08/0.76	| 0 0 0 0 0 0 0 0 |
2.08/0.76	| 0 0 0 0 0 0 0 0 |
2.08/0.76	| 0 0 0 0 0 0 0 0 |
2.08/0.76	| 0 0 0 0 0 0 0 0 |
2.08/0.76	 \               /
2.08/0.76	(a,false) is interpreted by
2.08/0.76	 /               \
2.08/0.76	| 1 0 0 0 0 0 0 0 |
2.08/0.76	| 0 1 0 0 0 0 0 0 |
2.08/0.76	| 0 0 0 2 0 0 0 0 |
2.08/0.76	| 0 0 0 0 1 0 0 0 |
2.08/0.76	| 0 0 0 0 0 1 0 0 |
2.08/0.76	| 0 0 1 0 0 0 0 0 |
2.08/0.76	| 0 0 1 0 0 0 0 1 |
2.08/0.76	| 0 1 1 0 1 0 0 0 |
2.08/0.76	 \               /
2.08/0.76	(b,false) is interpreted by
2.08/0.76	 /               \
2.08/0.76	| 1 0 0 0 0 0 0 0 |
2.08/0.76	| 0 1 0 0 0 0 0 0 |
2.08/0.76	| 0 0 0 0 0 0 0 0 |
2.08/0.76	| 0 0 0 0 0 0 0 0 |
2.08/0.76	| 0 0 0 0 0 0 0 0 |
2.08/0.76	| 0 0 0 1 0 0 1 0 |
2.08/0.76	| 0 0 0 0 0 0 0 0 |
2.08/0.76	| 0 0 0 0 0 0 0 0 |
2.08/0.76	 \               /
2.08/0.76	
2.08/0.76	Remains to prove termination of the 1-rule system
2.08/0.76	{ (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) ->= (b,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
2.08/0.76	
2.08/0.76	
2.08/0.76	The system is trivially terminating.
2.28/0.80	EOF