0.00/0.38	YES
0.00/0.39	
0.00/0.39	
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.39	
0.00/0.39	b is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 2 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	c is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 1 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	a is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 3 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	
0.00/0.39	Remains to prove termination of the 3-rule system
0.00/0.39	{ b c -> a ,
0.00/0.39	  b b -> a c ,
0.00/0.39	  a -> c b }
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.39	
0.00/0.39	b is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 1 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	c is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	a is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 1 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	
0.00/0.39	Remains to prove termination of the 2-rule system
0.00/0.39	{ b c -> a ,
0.00/0.39	  a -> c b }
0.00/0.39	
0.00/0.39	
0.00/0.39	The dependency pairs transformation was applied.
0.00/0.39	
0.00/0.39	Remains to prove termination of the 4-rule system
0.00/0.39	{ (b,true) (c,false) -> (a,true) ,
0.00/0.39	  (a,true) -> (b,true) ,
0.00/0.39	  (b,false) (c,false) ->= (a,false) ,
0.00/0.39	  (a,false) ->= (c,false) (b,false) }
0.00/0.39	
0.00/0.39	
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.39	
0.00/0.39	(b,true) is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	(c,false) is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 1 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	(a,true) is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	(b,false) is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	(a,false) is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 1 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	
0.00/0.39	Remains to prove termination of the 3-rule system
0.00/0.39	{ (a,true) -> (b,true) ,
0.00/0.39	  (b,false) (c,false) ->= (a,false) ,
0.00/0.39	  (a,false) ->= (c,false) (b,false) }
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.39	
0.00/0.39	(b,true) is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	(c,false) is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	(a,true) is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 1 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	(b,false) is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	(a,false) is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	
0.00/0.39	Remains to prove termination of the 2-rule system
0.00/0.39	{ (b,false) (c,false) ->= (a,false) ,
0.00/0.39	  (a,false) ->= (c,false) (b,false) }
0.00/0.39	
0.00/0.39	
0.00/0.39	The system is trivially terminating.
0.00/0.41	EOF