0.00/0.39	YES
0.00/0.39	
0.00/0.39	
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.39	
0.00/0.39	c is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 5 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	a is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 1 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	d is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 8 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	b is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 2 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	
0.00/0.39	Remains to prove termination of the 5-rule system
0.00/0.39	{ c c c a -> d d ,
0.00/0.39	  d b -> c c ,
0.00/0.39	  d -> b b b b ,
0.00/0.39	  b d -> c c ,
0.00/0.39	  a c c c -> d d }
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.39	
0.00/0.39	c is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	a is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 1 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	d is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	b is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	
0.00/0.39	Remains to prove termination of the 3-rule system
0.00/0.39	{ d b -> c c ,
0.00/0.39	  d -> b b b b ,
0.00/0.39	  b d -> c c }
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.39	
0.00/0.39	c is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
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	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	b 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 0-rule system
0.00/0.40	{ }
0.00/0.40	
0.00/0.40	
0.00/0.40	The system is trivially terminating.
0.00/0.42	EOF