1.94/0.70	YES
1.94/0.72	
1.94/0.72	
1.94/0.72	The system was reversed.
1.94/0.72	
1.94/0.72	Remains to prove termination of the 1-rule system
1.94/0.72	{ a a a b a b -> b a b a b a a a a }
1.94/0.72	
1.94/0.72	
1.94/0.72	The dependency pairs transformation was applied.
1.94/0.72	
1.94/0.72	Remains to prove termination of the 7-rule system
1.94/0.72	{ (a,true) (a,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) ,
1.94/0.72	  (a,true) (a,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) (a,false) (a,false) (a,false) ,
1.94/0.72	  (a,true) (a,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) (a,false) (a,false) (a,false) ,
1.94/0.72	  (a,true) (a,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) (a,false) (a,false) ,
1.94/0.72	  (a,true) (a,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) (a,false) ,
1.94/0.72	  (a,true) (a,false) (a,false) (b,false) (a,false) (b,false) -> (a,true) ,
1.94/0.72	  (a,false) (a,false) (a,false) (b,false) (a,false) (b,false) ->= (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) }
1.94/0.72	
1.94/0.72	
1.94/0.72	
1.94/0.72	
1.94/0.72	The system was filtered by the following matrix interpretation
1.94/0.72	of type E_J with J = {1,...,2} and dimension 7:
1.94/0.72	
1.94/0.72	(a,true) is interpreted by
1.94/0.72	 /             \
1.94/0.72	| 1 0 1 0 0 0 0 |
1.94/0.72	| 0 1 0 0 0 0 0 |
1.94/0.72	| 0 0 0 0 0 0 0 |
1.94/0.72	| 0 0 0 0 0 0 0 |
1.94/0.72	| 0 0 0 0 0 0 0 |
1.94/0.72	| 0 0 0 0 0 0 0 |
1.94/0.72	| 0 0 0 0 0 0 0 |
1.94/0.72	 \             /
1.94/0.72	(a,false) is interpreted by
1.94/0.72	 /             \
1.94/0.72	| 1 0 0 0 0 0 0 |
1.94/0.72	| 0 1 0 0 0 0 0 |
1.94/0.72	| 0 0 0 1 0 0 0 |
1.94/0.72	| 0 0 0 0 1 0 0 |
1.94/0.72	| 0 0 1 0 0 0 0 |
1.94/0.72	| 0 0 0 0 0 0 1 |
1.94/0.72	| 0 0 2 0 0 0 0 |
1.94/0.72	 \             /
1.94/0.72	(b,false) is interpreted by
1.94/0.72	 /             \
1.94/0.72	| 1 0 0 0 0 0 0 |
1.94/0.72	| 0 1 0 0 0 0 0 |
1.94/0.72	| 0 0 0 0 0 0 0 |
1.94/0.72	| 0 0 0 0 0 0 0 |
1.94/0.72	| 0 0 0 0 0 1 0 |
1.94/0.72	| 0 0 0 0 0 0 0 |
1.94/0.72	| 0 1 1 1 2 0 0 |
1.94/0.72	 \             /
1.94/0.72	
1.94/0.72	Remains to prove termination of the 1-rule system
1.94/0.72	{ (a,false) (a,false) (a,false) (b,false) (a,false) (b,false) ->= (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) }
1.94/0.72	
1.94/0.72	
1.94/0.72	The system is trivially terminating.
2.14/0.76	EOF