0.00/0.43	YES
0.00/0.44	
0.00/0.44	
0.00/0.44	The system was reversed.
0.00/0.44	
0.00/0.44	Remains to prove termination of the 3-rule system
0.00/0.44	{ b a -> a c b ,
0.00/0.44	  c b -> b b c ,
0.00/0.44	  c a -> b a c }
0.00/0.44	
0.00/0.44	
0.00/0.44	The dependency pairs transformation was applied.
0.00/0.44	
0.00/0.44	Remains to prove termination of the 10-rule system
0.00/0.44	{ (b,true) (a,false) -> (c,true) (b,false) ,
0.00/0.44	  (b,true) (a,false) -> (b,true) ,
0.00/0.44	  (c,true) (b,false) -> (b,true) (b,false) (c,false) ,
0.00/0.44	  (c,true) (b,false) -> (b,true) (c,false) ,
0.00/0.44	  (c,true) (b,false) -> (c,true) ,
0.00/0.44	  (c,true) (a,false) -> (b,true) (a,false) (c,false) ,
0.00/0.44	  (c,true) (a,false) -> (c,true) ,
0.00/0.44	  (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
0.00/0.44	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
0.00/0.44	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) }
0.00/0.44	
0.00/0.44	
0.00/0.44	
0.00/0.44	
0.00/0.44	The system was filtered by the following matrix interpretation
0.00/0.44	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.44	
0.00/0.44	(b,true) is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	(a,false) is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 1 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	(c,true) is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	(b,false) is interpreted by
0.00/0.45	 /   \
0.00/0.45	| 1 0 |
0.00/0.45	| 0 1 |
0.00/0.45	 \   /
0.00/0.45	(c,false) is interpreted by
0.00/0.45	 /   \
0.00/0.45	| 1 0 |
0.00/0.45	| 0 1 |
0.00/0.45	 \   /
0.00/0.45	
0.00/0.45	Remains to prove termination of the 7-rule system
0.00/0.45	{ (c,true) (b,false) -> (b,true) (b,false) (c,false) ,
0.00/0.45	  (c,true) (b,false) -> (b,true) (c,false) ,
0.00/0.45	  (c,true) (b,false) -> (c,true) ,
0.00/0.45	  (c,true) (a,false) -> (b,true) (a,false) (c,false) ,
0.00/0.45	  (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
0.00/0.45	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
0.00/0.45	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) }
0.00/0.45	
0.00/0.45	
0.00/0.45	The system was filtered by the following matrix interpretation
0.00/0.45	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.45	
0.00/0.45	(b,true) is interpreted by
0.00/0.45	 /   \
0.00/0.45	| 1 0 |
0.00/0.45	| 0 1 |
0.00/0.45	 \   /
0.00/0.45	(a,false) is interpreted by
0.00/0.45	 /   \
0.00/0.45	| 1 0 |
0.00/0.45	| 0 1 |
0.00/0.45	 \   /
0.00/0.45	(c,true) is interpreted by
0.00/0.45	 /   \
0.00/0.45	| 1 1 |
0.00/0.45	| 0 1 |
0.00/0.45	 \   /
0.00/0.45	(b,false) is interpreted by
0.00/0.45	 /   \
0.00/0.45	| 1 0 |
0.00/0.45	| 0 1 |
0.00/0.45	 \   /
0.00/0.45	(c,false) is interpreted by
0.00/0.45	 /   \
0.00/0.45	| 1 0 |
0.00/0.45	| 0 1 |
0.00/0.45	 \   /
0.00/0.45	
0.00/0.45	Remains to prove termination of the 4-rule system
0.00/0.45	{ (c,true) (b,false) -> (c,true) ,
0.00/0.45	  (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
0.00/0.45	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
0.00/0.45	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) }
0.00/0.45	
0.00/0.45	
0.00/0.45	The system was filtered by the following matrix interpretation
0.00/0.45	of type E_J with J = {1,...,2} and dimension 3:
0.00/0.45	
0.00/0.45	(b,true) is interpreted by
0.00/0.45	 /     \
0.00/0.45	| 1 0 0 |
0.00/0.45	| 0 1 0 |
0.00/0.45	| 0 0 0 |
0.00/0.45	 \     /
0.00/0.45	(a,false) is interpreted by
0.00/0.45	 /     \
0.00/0.45	| 1 0 0 |
0.00/0.45	| 0 1 0 |
0.00/0.45	| 0 0 0 |
0.00/0.45	 \     /
0.00/0.45	(c,true) is interpreted by
0.00/0.45	 /     \
0.00/0.45	| 1 0 1 |
0.00/0.45	| 0 1 0 |
0.00/0.45	| 0 0 0 |
0.00/0.45	 \     /
0.00/0.45	(b,false) is interpreted by
0.00/0.45	 /     \
0.00/0.45	| 1 0 0 |
0.00/0.45	| 0 1 0 |
0.00/0.45	| 0 1 1 |
0.00/0.45	 \     /
0.00/0.45	(c,false) is interpreted by
0.00/0.45	 /     \
0.00/0.45	| 1 0 0 |
0.00/0.45	| 0 1 0 |
0.00/0.45	| 0 1 2 |
0.00/0.45	 \     /
0.00/0.45	
0.00/0.45	Remains to prove termination of the 3-rule system
0.00/0.45	{ (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
0.00/0.45	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
0.00/0.45	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) }
0.00/0.45	
0.00/0.45	
0.00/0.45	The system is trivially terminating.
0.00/0.49	EOF