7.71/2.16	YES
7.71/2.17	
7.71/2.17	
7.71/2.17	The system was reversed.
7.71/2.17	
7.71/2.17	Remains to prove termination of the 1-rule system
7.71/2.17	{ a a a a b a -> b a a b a b a b a a a a a }
7.71/2.17	
7.71/2.17	
7.71/2.17	The dependency pairs transformation was applied.
7.71/2.17	
7.71/2.17	Remains to prove termination of the 10-rule system
7.71/2.17	{ (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
7.71/2.17	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
7.71/2.17	  (a,true) (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) ,
7.71/2.17	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
7.71/2.17	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) ,
7.71/2.17	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) ,
7.71/2.17	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) ,
7.71/2.17	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) ,
7.71/2.17	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) ,
7.71/2.17	  (a,false) (a,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) (a,false) (a,false) (a,false) (a,false) }
7.71/2.17	
7.71/2.17	
7.71/2.17	
7.71/2.17	
7.71/2.17	The system was filtered by the following matrix interpretation
7.71/2.17	of type E_J with J = {1,...,2} and dimension 7:
7.71/2.17	
7.71/2.17	(a,true) is interpreted by
7.71/2.17	 /             \
7.71/2.17	| 1 0 1 0 0 0 0 |
7.71/2.17	| 0 1 0 0 0 0 0 |
7.71/2.17	| 0 0 0 0 0 0 0 |
7.71/2.17	| 0 0 0 0 0 0 0 |
7.71/2.17	| 0 0 0 0 0 0 0 |
7.71/2.17	| 0 0 0 0 0 0 0 |
7.71/2.17	| 0 0 0 0 0 0 0 |
7.71/2.17	 \             /
7.71/2.17	(a,false) is interpreted by
7.71/2.17	 /             \
7.71/2.17	| 1 0 0 0 0 0 0 |
7.71/2.17	| 0 1 0 0 0 0 0 |
7.71/2.17	| 0 0 0 2 0 0 0 |
7.71/2.17	| 0 0 0 0 1 0 0 |
7.71/2.17	| 0 0 0 0 0 1 0 |
7.71/2.17	| 0 0 2 0 0 0 0 |
7.71/2.17	| 0 1 1 1 0 1 0 |
7.71/2.17	 \             /
7.71/2.17	(b,false) is interpreted by
7.71/2.17	 /             \
7.71/2.17	| 1 0 0 0 0 0 0 |
7.71/2.17	| 0 1 0 0 0 0 0 |
7.71/2.17	| 0 0 0 0 0 0 0 |
7.71/2.17	| 0 0 0 0 0 0 0 |
7.71/2.17	| 0 0 0 0 0 0 0 |
7.71/2.17	| 0 0 0 1 0 1 1 |
7.71/2.17	| 0 0 0 0 0 0 0 |
7.71/2.17	 \             /
7.71/2.17	
7.71/2.17	Remains to prove termination of the 1-rule system
7.71/2.17	{ (a,false) (a,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) (a,false) (a,false) (a,false) (a,false) }
7.71/2.17	
7.71/2.17	
7.71/2.17	The system is trivially terminating.
7.78/2.21	EOF