0.00/0.35	YES
0.00/0.38	
0.00/0.38	
0.00/0.38	The dependency pairs transformation was applied.
0.00/0.38	
0.00/0.38	Remains to prove termination of the 5-rule system
0.00/0.38	{ (b,true) (a,false) (b,false) (a,false) (b,false) (b,false) -> (b,true) (b,false) (a,false) (b,false) (b,false) (a,false) ,
0.00/0.38	  (b,true) (a,false) (b,false) (a,false) (b,false) (b,false) -> (b,true) (a,false) (b,false) (b,false) (a,false) ,
0.00/0.38	  (b,true) (a,false) (b,false) (a,false) (b,false) (b,false) -> (b,true) (b,false) (a,false) ,
0.00/0.38	  (b,true) (a,false) (b,false) (a,false) (b,false) (b,false) -> (b,true) (a,false) ,
0.00/0.38	  (b,false) (a,false) (b,false) (a,false) (b,false) (b,false) ->= (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) }
0.00/0.38	
0.00/0.38	
0.00/0.38	
0.00/0.38	
0.00/0.38	The system was filtered by the following matrix interpretation
0.00/0.38	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.38	
0.00/0.38	(b,true) is interpreted by
0.00/0.38	 /   \
0.00/0.38	| 1 0 |
0.00/0.38	| 0 1 |
0.00/0.38	 \   /
0.00/0.38	(a,false) is interpreted by
0.00/0.38	 /   \
0.00/0.38	| 1 0 |
0.00/0.38	| 0 1 |
0.00/0.38	 \   /
0.00/0.38	(b,false) is interpreted by
0.00/0.38	 /   \
0.00/0.38	| 1 1 |
0.00/0.38	| 0 1 |
0.00/0.38	 \   /
0.00/0.38	
0.00/0.38	Remains to prove termination of the 2-rule system
0.00/0.38	{ (b,true) (a,false) (b,false) (a,false) (b,false) (b,false) -> (b,true) (b,false) (a,false) (b,false) (b,false) (a,false) ,
0.00/0.38	  (b,false) (a,false) (b,false) (a,false) (b,false) (b,false) ->= (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) }
0.00/0.38	
0.00/0.38	
0.00/0.38	The system was filtered by the following matrix interpretation
0.00/0.38	of type E_J with J = {1,...,2} and dimension 12:
0.00/0.38	
0.00/0.38	(b,true) is interpreted by
0.00/0.38	 /                       \
0.00/0.38	| 1 0 1 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 1 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	 \                       /
0.00/0.38	(a,false) is interpreted by
0.00/0.38	 /                       \
0.00/0.38	| 1 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 1 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 1 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 1 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 1 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 1 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	 \                       /
0.00/0.38	(b,false) is interpreted by
0.00/0.38	 /                       \
0.00/0.38	| 1 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 1 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 1 0 0 0 0 |
0.00/0.38	| 0 0 0 0 1 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 1 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 1 0 0 0 0 0 |
0.00/0.38	| 0 1 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 1 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 0 |
0.00/0.38	| 0 0 0 0 0 0 0 0 0 0 0 1 |
0.00/0.38	| 0 0 0 1 0 0 0 0 0 0 0 0 |
0.00/0.38	 \                       /
0.00/0.38	
0.00/0.38	Remains to prove termination of the 1-rule system
0.00/0.38	{ (b,false) (a,false) (b,false) (a,false) (b,false) (b,false) ->= (a,false) (b,false) (b,false) (a,false) (b,false) (b,false) (a,false) }
0.00/0.38	
0.00/0.38	
0.00/0.38	The system is trivially terminating.
0.00/0.39	EOF