0.00/0.39	YES
0.00/0.40	
0.00/0.40	
0.00/0.40	
0.00/0.40	
0.00/0.40	The system was filtered by the following matrix interpretation
0.00/0.40	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.40	
0.00/0.40	a is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 3 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	b is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 2 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	c is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 1 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	d is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	
0.00/0.40	Remains to prove termination of the 4-rule system
0.00/0.40	{ a a -> b b b ,
0.00/0.40	  b -> c c d ,
0.00/0.40	  b c -> c b ,
0.00/0.40	  b c d -> a }
0.00/0.40	
0.00/0.40	
0.00/0.40	The system was filtered by the following matrix interpretation
0.00/0.40	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.40	
0.00/0.40	a is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 2 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	b is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 1 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	c is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	d is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 1 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	
0.00/0.40	Remains to prove termination of the 3-rule system
0.00/0.40	{ b -> c c d ,
0.00/0.40	  b c -> c b ,
0.00/0.40	  b c d -> a }
0.00/0.40	
0.00/0.40	
0.00/0.40	The system was filtered by the following matrix interpretation
0.00/0.40	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.40	
0.00/0.40	a is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	b is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 1 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	c is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	d is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	
0.00/0.40	Remains to prove termination of the 1-rule system
0.00/0.40	{ b c -> c b }
0.00/0.40	
0.00/0.40	
0.00/0.40	The dependency pairs transformation was applied.
0.00/0.40	
0.00/0.40	Remains to prove termination of the 2-rule system
0.00/0.40	{ (b,true) (c,false) -> (b,true) ,
0.00/0.40	  (b,false) (c,false) ->= (c,false) (b,false) }
0.00/0.40	
0.00/0.40	
0.00/0.40	
0.00/0.40	
0.00/0.40	The system was filtered by the following matrix interpretation
0.00/0.40	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.40	
0.00/0.40	(b,true) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(c,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 1 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(b,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	
0.00/0.40	Remains to prove termination of the 1-rule system
0.00/0.40	{ (b,false) (c,false) ->= (c,false) (b,false) }
0.00/0.40	
0.00/0.40	
0.00/0.40	The system is trivially terminating.
0.00/0.43	EOF