0.00/0.43	YES
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 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 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	a 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	d is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 2 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	
0.00/0.44	Remains to prove termination of the 4-rule system
0.00/0.44	{ c d -> d c ,
0.00/0.44	  c d b -> d c c ,
0.00/0.44	  d c -> b b b ,
0.00/0.44	  c b -> d a }
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	{ (c,true) (d,false) -> (d,true) (c,false) ,
0.00/0.44	  (c,true) (d,false) -> (c,true) ,
0.00/0.44	  (c,true) (d,false) (b,false) -> (d,true) (c,false) (c,false) ,
0.00/0.44	  (c,true) (d,false) (b,false) -> (c,true) (c,false) ,
0.00/0.44	  (c,true) (d,false) (b,false) -> (c,true) ,
0.00/0.44	  (c,true) (b,false) -> (d,true) (a,false) ,
0.00/0.44	  (c,false) (d,false) ->= (d,false) (c,false) ,
0.00/0.44	  (c,false) (d,false) (b,false) ->= (d,false) (c,false) (c,false) ,
0.00/0.44	  (d,false) (c,false) ->= (b,false) (b,false) (b,false) ,
0.00/0.44	  (c,false) (b,false) ->= (d,false) (a,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	(c,true) 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	(d,false) 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	(d,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	(c,false) 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
0.00/0.44	 /   \
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 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	
0.00/0.44	Remains to prove termination of the 7-rule system
0.00/0.44	{ (c,true) (d,false) -> (c,true) ,
0.00/0.44	  (c,true) (d,false) (b,false) -> (c,true) (c,false) ,
0.00/0.44	  (c,true) (d,false) (b,false) -> (c,true) ,
0.00/0.44	  (c,false) (d,false) ->= (d,false) (c,false) ,
0.00/0.44	  (c,false) (d,false) (b,false) ->= (d,false) (c,false) (c,false) ,
0.00/0.44	  (d,false) (c,false) ->= (b,false) (b,false) (b,false) ,
0.00/0.44	  (c,false) (b,false) ->= (d,false) (a,false) }
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	(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	(d,false) is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 2 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	(c,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	(b,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	(a,false) 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	
0.00/0.44	Remains to prove termination of the 4-rule system
0.00/0.44	{ (c,false) (d,false) ->= (d,false) (c,false) ,
0.00/0.44	  (c,false) (d,false) (b,false) ->= (d,false) (c,false) (c,false) ,
0.00/0.44	  (d,false) (c,false) ->= (b,false) (b,false) (b,false) ,
0.00/0.44	  (c,false) (b,false) ->= (d,false) (a,false) }
0.00/0.44	
0.00/0.44	
0.00/0.44	The system is trivially terminating.
0.00/0.47	EOF