4.44/1.36	YES
4.44/1.38	
4.44/1.38	
4.44/1.38	The dependency pairs transformation was applied.
4.44/1.38	
4.44/1.38	Remains to prove termination of the 9-rule system
4.44/1.38	{ (a,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (a,true) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) ,
4.44/1.38	  (a,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,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) (b,false) (a,false) (b,false) ,
4.44/1.38	  (a,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) ,
4.44/1.38	  (a,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (a,true) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) ,
4.44/1.38	  (a,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) ,
4.44/1.38	  (a,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) (b,false) (a,false) (b,false) ,
4.44/1.38	  (a,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) (b,false) ,
4.44/1.38	  (a,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (a,true) (b,false) ,
4.44/1.38	  (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) ->= (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) }
4.44/1.38	
4.44/1.38	
4.44/1.38	
4.44/1.38	
4.44/1.38	The system was filtered by the following matrix interpretation
4.44/1.38	of type E_J with J = {1,...,2} and dimension 10:
4.44/1.38	
4.44/1.38	(a,true) is interpreted by
4.44/1.38	 /                   \
4.44/1.38	| 1 0 1 0 0 0 0 0 0 0 |
4.44/1.38	| 0 1 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	 \                   /
4.44/1.38	(b,false) is interpreted by
4.44/1.38	 /                   \
4.44/1.38	| 1 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 1 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 2 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 1 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 1 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 1 0 0 0 0 0 0 0 0 |
4.44/1.38	 \                   /
4.44/1.38	(a,false) is interpreted by
4.44/1.38	 /                   \
4.44/1.38	| 1 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 1 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 1 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 1 0 0 0 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	| 0 0 1 1 0 1 0 0 1 0 |
4.44/1.38	| 0 0 1 0 0 0 0 0 0 1 |
4.44/1.38	| 0 0 0 0 0 0 0 0 0 0 |
4.44/1.38	 \                   /
4.44/1.38	
4.44/1.38	Remains to prove termination of the 1-rule system
4.44/1.38	{ (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) ->= (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) }
4.44/1.39	
4.44/1.39	
4.44/1.39	The system is trivially terminating.
4.65/1.42	EOF