14.08/3.85	YES
14.08/3.87	
14.08/3.87	
14.08/3.87	The system was reversed.
14.08/3.87	
14.08/3.87	Remains to prove termination of the 1-rule system
14.08/3.87	{ a a a a a b a -> b a b a a a a b a a a a a a }
14.08/3.87	
14.08/3.87	
14.08/3.87	The dependency pairs transformation was applied.
14.08/3.87	
14.08/3.87	Remains to prove termination of the 12-rule system
14.08/3.87	{ (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (b,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
14.08/3.87	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
14.08/3.87	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
14.08/3.87	  (a,true) (a,false) (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) (a,false) ,
14.08/3.87	  (a,true) (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) ,
14.08/3.87	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) ,
14.08/3.87	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) ,
14.08/3.87	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) ,
14.08/3.87	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) ,
14.08/3.87	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) ,
14.08/3.87	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) ,
14.08/3.87	  (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) ->= (b,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
14.08/3.87	
14.08/3.87	
14.08/3.87	
14.08/3.87	
14.08/3.87	The system was filtered by the following matrix interpretation
14.08/3.87	of type E_J with J = {1,...,2} and dimension 8:
14.08/3.87	
14.08/3.87	(a,true) is interpreted by
14.08/3.87	 /               \
14.08/3.87	| 1 0 1 0 0 0 0 0 |
14.08/3.87	| 0 1 0 0 0 0 0 0 |
14.08/3.87	| 0 0 0 0 0 0 0 0 |
14.08/3.87	| 0 0 0 0 0 0 0 0 |
14.08/3.87	| 0 0 0 0 0 0 0 0 |
14.08/3.87	| 0 0 0 0 0 0 0 0 |
14.08/3.87	| 0 0 0 0 0 0 0 0 |
14.08/3.87	| 0 0 0 0 0 0 0 0 |
14.08/3.87	 \               /
14.08/3.87	(a,false) is interpreted by
14.08/3.87	 /               \
14.08/3.87	| 1 0 0 0 0 0 0 0 |
14.08/3.87	| 0 1 0 0 0 0 0 0 |
14.08/3.87	| 0 0 0 3 0 0 0 0 |
14.08/3.87	| 0 0 0 0 1 0 0 0 |
14.08/3.87	| 0 0 0 0 0 1 0 0 |
14.08/3.87	| 0 0 0 0 0 0 1 0 |
14.08/3.87	| 0 0 1 0 0 0 0 0 |
14.08/3.87	| 0 1 1 1 0 1 0 0 |
14.08/3.87	 \               /
14.08/3.87	(b,false) is interpreted by
14.08/3.87	 /               \
14.08/3.87	| 1 0 0 0 0 0 0 0 |
14.08/3.87	| 0 1 0 0 0 0 0 0 |
14.08/3.87	| 0 0 0 0 0 0 0 0 |
14.08/3.87	| 0 0 0 0 0 0 0 0 |
14.08/3.87	| 0 0 0 0 0 0 0 0 |
14.08/3.87	| 0 0 0 0 0 0 0 0 |
14.08/3.87	| 0 0 0 1 0 1 0 1 |
14.08/3.87	| 0 0 0 0 0 0 0 0 |
14.08/3.87	 \               /
14.08/3.87	
14.08/3.87	Remains to prove termination of the 1-rule system
14.08/3.87	{ (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) ->= (b,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
14.08/3.87	
14.08/3.87	
14.08/3.87	The system is trivially terminating.
14.27/3.92	EOF