35.45/9.19	YES
35.45/9.20	
35.45/9.20	
35.45/9.20	The system was reversed.
35.45/9.20	
35.45/9.20	Remains to prove termination of the 1-rule system
35.45/9.20	{ a a a a a a b a -> b a a a b a b a a a a a a a }
35.45/9.20	
35.45/9.20	
35.45/9.20	The dependency pairs transformation was applied.
35.45/9.20	
35.45/9.20	Remains to prove termination of the 12-rule system
35.45/9.20	{ (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
35.45/9.20	  (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
35.45/9.20	  (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (b,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
35.45/9.20	  (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
35.45/9.20	  (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
35.45/9.20	  (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) ,
35.45/9.20	  (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) ,
35.45/9.20	  (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) ,
35.45/9.20	  (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) ,
35.45/9.20	  (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) ,
35.45/9.20	  (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) ,
35.45/9.20	  (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) ->= (b,false) (a,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
35.45/9.20	
35.45/9.20	
35.45/9.20	
35.45/9.20	
35.45/9.20	The system was filtered by the following matrix interpretation
35.45/9.20	of type E_J with J = {1,...,2} and dimension 9:
35.45/9.20	
35.45/9.20	(a,true) is interpreted by
35.45/9.20	 /                 \
35.45/9.20	| 1 0 1 0 0 0 0 0 0 |
35.45/9.20	| 0 1 0 0 0 0 0 0 0 |
35.45/9.20	| 0 0 0 0 0 0 0 0 0 |
35.45/9.20	| 0 0 0 0 0 0 0 0 0 |
35.45/9.20	| 0 0 0 0 0 0 0 0 0 |
35.45/9.20	| 0 0 0 0 0 0 0 0 0 |
35.45/9.20	| 0 0 0 0 0 0 0 0 0 |
35.45/9.20	| 0 0 0 0 0 0 0 0 0 |
35.45/9.20	| 0 0 0 0 0 0 0 0 0 |
35.45/9.20	 \                 /
35.45/9.20	(a,false) is interpreted by
35.45/9.20	 /                 \
35.45/9.20	| 1 0 0 0 0 0 0 0 0 |
35.45/9.20	| 0 1 0 0 0 0 0 0 0 |
35.45/9.20	| 0 0 0 3 0 0 0 0 0 |
35.45/9.20	| 0 0 0 0 1 0 0 0 0 |
35.45/9.20	| 0 0 0 0 0 1 0 0 0 |
35.45/9.20	| 0 0 0 0 0 0 1 0 0 |
35.45/9.20	| 0 0 0 0 0 0 0 1 0 |
35.45/9.20	| 0 0 1 0 0 0 0 0 0 |
35.45/9.20	| 0 1 1 1 0 0 0 1 0 |
35.45/9.20	 \                 /
35.45/9.20	(b,false) is interpreted by
35.45/9.20	 /                 \
35.45/9.20	| 1 0 0 0 0 0 0 0 0 |
35.45/9.20	| 0 1 0 0 0 0 0 0 0 |
35.45/9.20	| 0 0 0 0 0 0 0 0 0 |
35.45/9.20	| 0 0 0 0 0 0 0 0 0 |
35.45/9.20	| 0 0 0 0 0 0 0 0 0 |
35.45/9.20	| 0 0 0 0 0 0 0 0 0 |
35.45/9.20	| 0 0 0 0 0 0 0 0 0 |
35.45/9.20	| 0 0 0 1 1 1 0 0 1 |
35.45/9.20	| 0 0 0 0 0 0 0 0 0 |
35.45/9.20	 \                 /
35.45/9.20	
35.45/9.20	Remains to prove termination of the 1-rule system
35.45/9.20	{ (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) ->= (b,false) (a,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
35.45/9.20	
35.45/9.20	
35.45/9.20	The system is trivially terminating.
35.45/9.24	EOF