44.40/11.55	YES
44.53/11.58	
44.53/11.58	
44.53/11.58	The system was reversed.
44.53/11.58	
44.53/11.58	Remains to prove termination of the 1-rule system
44.53/11.58	{ a b a a b -> b a a b b a a }
44.53/11.58	
44.53/11.58	
44.53/11.58	The dependency pairs transformation was applied.
44.53/11.58	
44.53/11.58	Remains to prove termination of the 5-rule system
44.53/11.58	{ (a,true) (b,false) (a,false) (a,false) (b,false) -> (a,true) (a,false) (b,false) (b,false) (a,false) (a,false) ,
44.53/11.58	  (a,true) (b,false) (a,false) (a,false) (b,false) -> (a,true) (b,false) (b,false) (a,false) (a,false) ,
44.53/11.58	  (a,true) (b,false) (a,false) (a,false) (b,false) -> (a,true) (a,false) ,
44.53/11.58	  (a,true) (b,false) (a,false) (a,false) (b,false) -> (a,true) ,
44.53/11.58	  (a,false) (b,false) (a,false) (a,false) (b,false) ->= (b,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) }
44.53/11.58	
44.53/11.58	
44.53/11.58	
44.53/11.58	
44.53/11.58	The system was filtered by the following matrix interpretation
44.53/11.58	of type E_J with J = {1,...,2} and dimension 14:
44.53/11.58	
44.53/11.58	(a,true) is interpreted by
44.53/11.58	 /                           \
44.53/11.58	| 1 0 1 0 0 0 1 0 0 0 0 0 0 0 |
44.53/11.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	 \                           /
44.53/11.58	(b,false) is interpreted by
44.53/11.58	 /                           \
44.53/11.58	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 1 0 0 0 1 0 0 0 1 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 1 0 0 0 1 0 0 0 1 |
44.53/11.58	 \                           /
44.53/11.58	(a,false) is interpreted by
44.53/11.58	 /                           \
44.53/11.58	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 1 0 0 0 4 0 0 0 0 0 0 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
44.53/11.58	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
44.53/11.58	 \                           /
44.53/11.58	
44.53/11.58	Remains to prove termination of the 1-rule system
44.53/11.58	{ (a,false) (b,false) (a,false) (a,false) (b,false) ->= (b,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) }
44.53/11.58	
44.53/11.58	
44.53/11.58	The system is trivially terminating.
44.53/11.62	EOF