0.00/0.46	YES
0.00/0.48	
0.00/0.48	
0.00/0.48	The dependency pairs transformation was applied.
0.00/0.48	
0.00/0.48	Remains to prove termination of the 9-rule system
0.00/0.48	{ (a,true) (a,false) -> (c,true) (b,false) ,
0.00/0.48	  (a,true) (a,false) -> (b,true) ,
0.00/0.48	  (b,true) (b,false) -> (a,true) (c,false) ,
0.00/0.48	  (b,true) (b,false) -> (c,true) ,
0.00/0.48	  (c,true) (c,false) -> (b,true) (a,false) ,
0.00/0.48	  (c,true) (c,false) -> (a,true) ,
0.00/0.48	  (a,false) (a,false) ->= (c,false) (b,false) ,
0.00/0.48	  (b,false) (b,false) ->= (a,false) (c,false) ,
0.00/0.48	  (c,false) (c,false) ->= (b,false) (a,false) }
0.00/0.48	
0.00/0.48	
0.00/0.48	
0.00/0.48	
0.00/0.48	The system was filtered by the following matrix interpretation
0.00/0.48	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.48	
0.00/0.48	(a,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(a,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 1 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(c,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(b,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 1 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(b,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(c,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 1 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	
0.00/0.48	Remains to prove termination of the 6-rule system
0.00/0.48	{ (a,true) (a,false) -> (c,true) (b,false) ,
0.00/0.48	  (b,true) (b,false) -> (a,true) (c,false) ,
0.00/0.48	  (c,true) (c,false) -> (b,true) (a,false) ,
0.00/0.48	  (a,false) (a,false) ->= (c,false) (b,false) ,
0.00/0.48	  (b,false) (b,false) ->= (a,false) (c,false) ,
0.00/0.48	  (c,false) (c,false) ->= (b,false) (a,false) }
0.00/0.48	
0.00/0.48	
0.00/0.48	The system was filtered by the following matrix interpretation
0.00/0.48	of type E_J with J = {1,...,2} and dimension 5:
0.00/0.48	
0.00/0.48	(a,true) is interpreted by
0.00/0.48	 /         \
0.00/0.48	| 1 0 0 0 0 |
0.00/0.48	| 0 1 0 0 0 |
0.00/0.48	| 0 0 0 0 0 |
0.00/0.48	| 0 0 0 0 0 |
0.00/0.48	| 0 0 0 0 0 |
0.00/0.48	 \         /
0.00/0.48	(a,false) is interpreted by
0.00/0.48	 /         \
0.00/0.48	| 1 0 0 0 0 |
0.00/0.48	| 0 1 0 0 0 |
0.00/0.48	| 0 0 0 0 0 |
0.00/0.48	| 0 0 0 0 1 |
0.00/0.48	| 0 1 0 0 0 |
0.00/0.48	 \         /
0.00/0.48	(c,true) is interpreted by
0.00/0.48	 /         \
0.00/0.48	| 1 0 0 0 0 |
0.00/0.48	| 0 1 0 0 0 |
0.00/0.48	| 0 0 0 0 0 |
0.00/0.48	| 0 0 0 0 0 |
0.00/0.48	| 0 0 0 0 0 |
0.00/0.48	 \         /
0.00/0.48	(b,false) is interpreted by
0.00/0.48	 /         \
0.00/0.48	| 1 0 0 0 0 |
0.00/0.48	| 0 1 0 0 0 |
0.00/0.48	| 0 1 0 0 0 |
0.00/0.48	| 0 0 0 0 0 |
0.00/0.48	| 0 0 1 0 0 |
0.00/0.48	 \         /
0.00/0.48	(b,true) is interpreted by
0.00/0.48	 /         \
0.00/0.48	| 1 0 1 0 0 |
0.00/0.48	| 0 1 0 0 0 |
0.00/0.48	| 0 0 0 0 0 |
0.00/0.48	| 0 0 0 0 0 |
0.00/0.48	| 0 0 0 0 0 |
0.00/0.48	 \         /
0.00/0.48	(c,false) is interpreted by
0.00/0.48	 /         \
0.00/0.48	| 1 0 0 0 0 |
0.00/0.48	| 0 1 0 0 0 |
0.00/0.48	| 0 0 0 1 0 |
0.00/0.48	| 0 1 0 0 0 |
0.00/0.48	| 0 0 0 0 0 |
0.00/0.48	 \         /
0.00/0.48	
0.00/0.48	Remains to prove termination of the 5-rule system
0.00/0.48	{ (a,true) (a,false) -> (c,true) (b,false) ,
0.00/0.48	  (c,true) (c,false) -> (b,true) (a,false) ,
0.00/0.48	  (a,false) (a,false) ->= (c,false) (b,false) ,
0.00/0.48	  (b,false) (b,false) ->= (a,false) (c,false) ,
0.00/0.48	  (c,false) (c,false) ->= (b,false) (a,false) }
0.00/0.48	
0.00/0.48	
0.00/0.48	The system was filtered by the following matrix interpretation
0.00/0.48	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.48	
0.00/0.48	(a,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 1 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(a,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(c,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(b,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(b,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(c,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	
0.00/0.48	Remains to prove termination of the 4-rule system
0.00/0.48	{ (c,true) (c,false) -> (b,true) (a,false) ,
0.00/0.48	  (a,false) (a,false) ->= (c,false) (b,false) ,
0.00/0.48	  (b,false) (b,false) ->= (a,false) (c,false) ,
0.00/0.48	  (c,false) (c,false) ->= (b,false) (a,false) }
0.00/0.48	
0.00/0.48	
0.00/0.48	The system was filtered by the following matrix interpretation
0.00/0.48	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.48	
0.00/0.48	(a,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(a,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(c,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 1 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(b,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(b,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(c,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	
0.00/0.48	Remains to prove termination of the 3-rule system
0.00/0.48	{ (a,false) (a,false) ->= (c,false) (b,false) ,
0.00/0.48	  (b,false) (b,false) ->= (a,false) (c,false) ,
0.00/0.48	  (c,false) (c,false) ->= (b,false) (a,false) }
0.00/0.48	
0.00/0.48	
0.00/0.48	The system is trivially terminating.
0.00/0.52	EOF