0.00/0.46	YES
0.00/0.47	
0.00/0.47	
0.00/0.47	
0.00/0.47	
0.00/0.47	The system was filtered by the following matrix interpretation
0.00/0.47	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.47	
0.00/0.47	a is interpreted by
0.00/0.47	 /     \
0.00/0.47	|  1 14 |
0.00/0.47	|  0  1 |
0.00/0.47	 \     /
0.00/0.47	b is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 9 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	d is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 4 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	c is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 6 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	
0.00/0.47	Remains to prove termination of the 4-rule system
0.00/0.47	{ a -> d c d ,
0.00/0.47	  b b -> c c c ,
0.00/0.47	  c c -> d d d ,
0.00/0.47	  c d d -> a }
0.00/0.47	
0.00/0.47	
0.00/0.47	The system was filtered by the following matrix interpretation
0.00/0.47	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.47	
0.00/0.47	a is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	b is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 1 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	d is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	c is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	
0.00/0.47	Remains to prove termination of the 3-rule system
0.00/0.47	{ a -> d c d ,
0.00/0.47	  c c -> d d d ,
0.00/0.47	  c d d -> a }
0.00/0.47	
0.00/0.47	
0.00/0.47	The system was filtered by the following matrix interpretation
0.00/0.47	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.47	
0.00/0.47	a is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 1 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	d is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	c is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 1 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	
0.00/0.47	Remains to prove termination of the 2-rule system
0.00/0.47	{ a -> d c d ,
0.00/0.47	  c d d -> a }
0.00/0.47	
0.00/0.47	
0.00/0.47	The dependency pairs transformation was applied.
0.00/0.47	
0.00/0.47	Remains to prove termination of the 4-rule system
0.00/0.47	{ (a,true) -> (c,true) (d,false) ,
0.00/0.47	  (c,true) (d,false) (d,false) -> (a,true) ,
0.00/0.47	  (a,false) ->= (d,false) (c,false) (d,false) ,
0.00/0.47	  (c,false) (d,false) (d,false) ->= (a,false) }
0.00/0.47	
0.00/0.47	
0.00/0.47	
0.00/0.47	
0.00/0.47	The system was filtered by the following matrix interpretation
0.00/0.47	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.47	
0.00/0.47	(a,true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 1 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	(c,true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	(d,false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 1 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	(a,false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 2 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	(c,false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	
0.00/0.47	Remains to prove termination of the 3-rule system
0.00/0.47	{ (a,true) -> (c,true) (d,false) ,
0.00/0.47	  (a,false) ->= (d,false) (c,false) (d,false) ,
0.00/0.47	  (c,false) (d,false) (d,false) ->= (a,false) }
0.00/0.47	
0.00/0.47	
0.00/0.47	The system was filtered by the following matrix interpretation
0.00/0.47	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.47	
0.00/0.47	(a,true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 1 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	(c,true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	(d,false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	(a,false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	(c,false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	
0.00/0.47	Remains to prove termination of the 2-rule system
0.00/0.47	{ (a,false) ->= (d,false) (c,false) (d,false) ,
0.00/0.47	  (c,false) (d,false) (d,false) ->= (a,false) }
0.00/0.47	
0.00/0.47	
0.00/0.47	The system is trivially terminating.
0.00/0.50	EOF