0.00/0.42	YES
0.00/0.43	
0.00/0.43	
0.00/0.43	The system was filtered by the following matrix interpretation
0.00/0.43	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.43	
0.00/0.43	a is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 3 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	d is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 3 0 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	b is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 1 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	c is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 3 1 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	
0.00/0.43	Remains to prove termination of the 3-rule system
0.00/0.43	{ a d -> d b ,
0.00/0.43	  a -> b b b ,
0.00/0.43	  b d b -> a c }
0.00/0.43	
0.00/0.43	
0.00/0.43	The system was filtered by the following matrix interpretation
0.00/0.43	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.43	
0.00/0.43	a is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 0 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	d is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 1 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	b is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 0 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	c is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 0 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	
0.00/0.43	Remains to prove termination of the 2-rule system
0.00/0.43	{ a d -> d b ,
0.00/0.43	  a -> b b b }
0.00/0.43	
0.00/0.43	
0.00/0.43	The system was filtered by the following matrix interpretation
0.00/0.43	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.43	
0.00/0.43	a is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 1 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	d is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 0 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	b is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 0 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	c is interpreted by
0.00/0.43	 /   \
0.00/0.43	| 1 0 |
0.00/0.43	| 0 1 |
0.00/0.43	 \   /
0.00/0.43	
0.00/0.43	Remains to prove termination of the 0-rule system
0.00/0.43	{ }
0.00/0.43	
0.00/0.43	
0.00/0.43	The system is trivially terminating.
0.00/0.46	EOF