4.62/1.41	YES
4.62/1.43	
4.62/1.43	
4.62/1.43	The system was reversed.
4.62/1.43	
4.62/1.43	Remains to prove termination of the 1-rule system
4.62/1.43	{ a b a a b a b a b -> a b a b a b a b a a b a b a }
4.62/1.43	
4.62/1.43	
4.62/1.43	The dependency pairs transformation was applied.
4.62/1.43	
4.62/1.43	Remains to prove termination of the 9-rule system
4.62/1.43	{ (a,true) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) ,
4.62/1.43	  (a,true) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) ,
4.62/1.43	  (a,true) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) ,
4.62/1.43	  (a,true) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) ,
4.62/1.43	  (a,true) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) (a,false) (b,false) (a,false) (b,false) (a,false) ,
4.62/1.43	  (a,true) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) (b,false) (a,false) ,
4.62/1.43	  (a,true) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) ,
4.62/1.43	  (a,true) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) ,
4.62/1.43	  (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) ->= (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) }
4.62/1.43	
4.62/1.43	
4.62/1.43	
4.62/1.43	
4.62/1.43	The system was filtered by the following matrix interpretation
4.62/1.43	of type E_J with J = {1,...,2} and dimension 10:
4.62/1.43	
4.62/1.43	(a,true) is interpreted by
4.62/1.43	 /                   \
4.62/1.43	| 1 0 1 0 0 0 0 0 0 0 |
4.62/1.43	| 0 1 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	 \                   /
4.62/1.43	(b,false) is interpreted by
4.62/1.43	 /                   \
4.62/1.43	| 1 0 1 0 0 0 0 0 0 0 |
4.62/1.43	| 0 1 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 1 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 1 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 1 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 1 0 1 1 0 0 0 0 1 |
4.62/1.43	 \                   /
4.62/1.43	(a,false) is interpreted by
4.62/1.43	 /                   \
4.62/1.43	| 1 0 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 1 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 0 1 0 0 0 0 0 |
4.62/1.43	| 0 0 1 0 0 1 0 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 1 0 0 0 0 1 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 1 |
4.62/1.43	| 0 0 0 0 0 0 0 0 0 0 |
4.62/1.43	 \                   /
4.62/1.43	
4.62/1.43	Remains to prove termination of the 1-rule system
4.62/1.43	{ (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) ->= (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) }
4.62/1.43	
4.62/1.43	
4.62/1.43	The system is trivially terminating.
4.88/1.47	EOF