2.38/0.80	YES
2.38/0.81	
2.38/0.81	
2.38/0.81	The system was reversed.
2.38/0.81	
2.38/0.81	Remains to prove termination of the 3-rule system
2.38/0.81	{ c a -> b c ,
2.38/0.81	  a -> b b b ,
2.38/0.81	  b c b -> c a }
2.38/0.81	
2.38/0.81	
2.38/0.81	The dependency pairs transformation was applied.
2.38/0.81	
2.38/0.81	Remains to prove termination of the 10-rule system
2.38/0.81	{ (c,true) (a,false) -> (b,true) (c,false) ,
2.38/0.81	  (c,true) (a,false) -> (c,true) ,
2.38/0.81	  (a,true) -> (b,true) (b,false) (b,false) ,
2.38/0.81	  (a,true) -> (b,true) (b,false) ,
2.38/0.81	  (a,true) -> (b,true) ,
2.38/0.81	  (b,true) (c,false) (b,false) -> (c,true) (a,false) ,
2.38/0.81	  (b,true) (c,false) (b,false) -> (a,true) ,
2.38/0.81	  (c,false) (a,false) ->= (b,false) (c,false) ,
2.38/0.81	  (a,false) ->= (b,false) (b,false) (b,false) ,
2.38/0.81	  (b,false) (c,false) (b,false) ->= (c,false) (a,false) }
2.38/0.81	
2.38/0.81	
2.38/0.81	
2.38/0.81	
2.38/0.81	The system was filtered by the following matrix interpretation
2.38/0.81	of type E_J with J = {1,...,2} and dimension 2:
2.38/0.81	
2.38/0.81	(c,true) is interpreted by
2.38/0.81	 /   \
2.38/0.81	| 1 1 |
2.38/0.81	| 0 1 |
2.38/0.81	 \   /
2.38/0.81	(a,false) is interpreted by
2.38/0.81	 /   \
2.38/0.81	| 1 0 |
2.38/0.81	| 0 1 |
2.38/0.81	 \   /
2.38/0.81	(b,true) is interpreted by
2.38/0.81	 /   \
2.38/0.81	| 1 0 |
2.38/0.81	| 0 1 |
2.38/0.81	 \   /
2.38/0.81	(c,false) is interpreted by
2.38/0.81	 /   \
2.38/0.81	| 1 1 |
2.38/0.81	| 0 1 |
2.38/0.81	 \   /
2.38/0.81	(a,true) is interpreted by
2.38/0.82	 /   \
2.38/0.82	| 1 0 |
2.38/0.82	| 0 1 |
2.38/0.82	 \   /
2.38/0.82	(b,false) is interpreted by
2.38/0.82	 /   \
2.38/0.82	| 1 0 |
2.38/0.82	| 0 1 |
2.38/0.82	 \   /
2.38/0.82	
2.38/0.82	Remains to prove termination of the 9-rule system
2.38/0.82	{ (c,true) (a,false) -> (b,true) (c,false) ,
2.38/0.82	  (c,true) (a,false) -> (c,true) ,
2.38/0.82	  (a,true) -> (b,true) (b,false) (b,false) ,
2.38/0.82	  (a,true) -> (b,true) (b,false) ,
2.38/0.82	  (a,true) -> (b,true) ,
2.38/0.82	  (b,true) (c,false) (b,false) -> (c,true) (a,false) ,
2.38/0.82	  (c,false) (a,false) ->= (b,false) (c,false) ,
2.38/0.82	  (a,false) ->= (b,false) (b,false) (b,false) ,
2.38/0.82	  (b,false) (c,false) (b,false) ->= (c,false) (a,false) }
2.38/0.82	
2.38/0.82	
2.38/0.82	The system was filtered by the following matrix interpretation
2.38/0.82	of type E_J with J = {1,...,2} and dimension 2:
2.38/0.82	
2.38/0.82	(c,true) is interpreted by
2.38/0.82	 /   \
2.38/0.82	| 1 0 |
2.38/0.82	| 0 1 |
2.38/0.82	 \   /
2.38/0.82	(a,false) is interpreted by
2.38/0.82	 /   \
2.38/0.82	| 1 0 |
2.38/0.82	| 0 1 |
2.38/0.82	 \   /
2.38/0.82	(b,true) is interpreted by
2.38/0.82	 /   \
2.38/0.82	| 1 0 |
2.38/0.82	| 0 1 |
2.38/0.82	 \   /
2.38/0.82	(c,false) is interpreted by
2.38/0.82	 /   \
2.38/0.82	| 1 0 |
2.38/0.82	| 0 1 |
2.38/0.82	 \   /
2.38/0.82	(a,true) is interpreted by
2.38/0.82	 /   \
2.38/0.82	| 1 1 |
2.38/0.82	| 0 1 |
2.38/0.82	 \   /
2.38/0.82	(b,false) is interpreted by
2.38/0.82	 /   \
2.38/0.82	| 1 0 |
2.38/0.82	| 0 1 |
2.38/0.82	 \   /
2.38/0.82	
2.38/0.82	Remains to prove termination of the 6-rule system
2.38/0.82	{ (c,true) (a,false) -> (b,true) (c,false) ,
2.38/0.82	  (c,true) (a,false) -> (c,true) ,
2.38/0.82	  (b,true) (c,false) (b,false) -> (c,true) (a,false) ,
2.38/0.82	  (c,false) (a,false) ->= (b,false) (c,false) ,
2.38/0.82	  (a,false) ->= (b,false) (b,false) (b,false) ,
2.38/0.82	  (b,false) (c,false) (b,false) ->= (c,false) (a,false) }
2.38/0.82	
2.38/0.82	
2.38/0.82	The system was filtered by the following matrix interpretation
2.38/0.82	of type E_J with J = {1,...,2} and dimension 3:
2.38/0.82	
2.38/0.82	(c,true) is interpreted by
2.38/0.82	 /     \
2.38/0.82	| 1 0 1 |
2.38/0.82	| 0 1 0 |
2.38/0.82	| 0 0 0 |
2.38/0.82	 \     /
2.38/0.82	(a,false) is interpreted by
2.38/0.82	 /     \
2.38/0.82	| 1 0 0 |
2.38/0.82	| 0 1 1 |
2.38/0.82	| 0 1 1 |
2.38/0.82	 \     /
2.38/0.82	(b,true) is interpreted by
2.38/0.82	 /     \
2.38/0.82	| 1 1 0 |
2.38/0.82	| 0 1 0 |
2.38/0.82	| 0 0 0 |
2.38/0.82	 \     /
2.38/0.82	(c,false) is interpreted by
2.38/0.82	 /     \
2.38/0.82	| 1 0 0 |
2.38/0.82	| 0 1 0 |
2.38/0.82	| 0 0 0 |
2.38/0.82	 \     /
2.38/0.82	(a,true) is interpreted by
2.38/0.82	 /     \
2.38/0.82	| 1 0 0 |
2.38/0.82	| 0 1 0 |
2.38/0.82	| 0 0 0 |
2.38/0.82	 \     /
2.38/0.82	(b,false) is interpreted by
2.38/0.82	 /     \
2.38/0.82	| 1 0 0 |
2.38/0.82	| 0 1 1 |
2.38/0.82	| 0 0 0 |
2.38/0.82	 \     /
2.38/0.82	
2.38/0.82	Remains to prove termination of the 5-rule system
2.38/0.82	{ (c,true) (a,false) -> (b,true) (c,false) ,
2.38/0.82	  (b,true) (c,false) (b,false) -> (c,true) (a,false) ,
2.38/0.82	  (c,false) (a,false) ->= (b,false) (c,false) ,
2.38/0.82	  (a,false) ->= (b,false) (b,false) (b,false) ,
2.38/0.82	  (b,false) (c,false) (b,false) ->= (c,false) (a,false) }
2.38/0.82	
2.38/0.82	
2.38/0.82	The system was filtered by the following matrix interpretation
2.38/0.82	of type E_J with J = {1,...,2} and dimension 4:
2.38/0.82	
2.38/0.82	(c,true) is interpreted by
2.38/0.82	 /       \
2.38/0.82	| 1 0 1 1 |
2.38/0.82	| 0 2 0 0 |
2.38/0.82	| 0 0 0 0 |
2.38/0.82	| 0 0 0 0 |
2.38/0.82	 \       /
2.38/0.82	(a,false) is interpreted by
2.38/0.82	 /       \
2.38/0.82	| 1 3 0 0 |
2.38/0.82	| 0 1 0 0 |
2.38/0.82	| 0 1 0 0 |
2.38/0.82	| 1 0 0 0 |
2.38/0.82	 \       /
2.38/0.82	(b,true) is interpreted by
2.38/0.82	 /       \
2.38/0.82	| 2 0 0 0 |
2.38/0.82	| 0 1 0 0 |
2.38/0.82	| 0 0 0 0 |
2.38/0.82	| 0 0 0 0 |
2.38/0.82	 \       /
2.38/0.82	(c,false) is interpreted by
2.38/0.82	 /       \
2.38/0.82	| 1 1 0 0 |
2.38/0.82	| 0 2 0 0 |
2.38/0.82	| 0 0 0 0 |
2.38/0.82	| 0 0 0 0 |
2.38/0.82	 \       /
2.38/0.82	(a,true) is interpreted by
2.38/0.82	 /       \
2.38/0.82	| 1 0 0 0 |
2.38/0.82	| 0 1 0 0 |
2.38/0.82	| 0 0 0 0 |
2.38/0.82	| 0 0 0 0 |
2.38/0.82	 \       /
2.38/0.82	(b,false) is interpreted by
2.38/0.82	 /       \
2.38/0.82	| 1 1 0 0 |
2.38/0.82	| 0 1 0 0 |
2.38/0.82	| 0 0 0 0 |
2.38/0.82	| 0 0 0 0 |
2.38/0.82	 \       /
2.38/0.82	
2.38/0.82	Remains to prove termination of the 3-rule system
2.38/0.82	{ (b,true) (c,false) (b,false) -> (c,true) (a,false) ,
2.38/0.82	  (a,false) ->= (b,false) (b,false) (b,false) ,
2.38/0.82	  (b,false) (c,false) (b,false) ->= (c,false) (a,false) }
2.38/0.82	
2.38/0.82	
2.38/0.82	The system was filtered by the following matrix interpretation
2.38/0.82	of type E_J with J = {1,...,2} and dimension 2:
2.38/0.82	
2.38/0.82	(c,true) is interpreted by
2.38/0.82	 /   \
2.38/0.82	| 1 0 |
2.38/0.82	| 0 1 |
2.38/0.82	 \   /
2.38/0.82	(a,false) is interpreted by
2.38/0.82	 /   \
2.38/0.82	| 1 0 |
2.38/0.82	| 0 1 |
2.38/0.82	 \   /
2.38/0.82	(b,true) is interpreted by
2.38/0.82	 /   \
2.38/0.82	| 1 1 |
2.38/0.82	| 0 1 |
2.38/0.82	 \   /
2.38/0.82	(c,false) is interpreted by
2.38/0.82	 /   \
2.38/0.82	| 1 0 |
2.38/0.82	| 0 1 |
2.38/0.82	 \   /
2.38/0.82	(a,true) is interpreted by
2.38/0.82	 /   \
2.38/0.82	| 1 0 |
2.38/0.82	| 0 1 |
2.38/0.82	 \   /
2.38/0.82	(b,false) is interpreted by
2.38/0.82	 /   \
2.38/0.82	| 1 0 |
2.38/0.82	| 0 1 |
2.38/0.82	 \   /
2.38/0.82	
2.38/0.82	Remains to prove termination of the 2-rule system
2.38/0.82	{ (a,false) ->= (b,false) (b,false) (b,false) ,
2.38/0.82	  (b,false) (c,false) (b,false) ->= (c,false) (a,false) }
2.38/0.82	
2.38/0.82	
2.38/0.82	The system is trivially terminating.
2.38/0.85	EOF