0.00/0.32	YES
0.00/0.33	
0.00/0.33	
0.00/0.33	
0.00/0.33	
0.00/0.33	The system was filtered by the following matrix interpretation
0.00/0.33	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.33	
0.00/0.33	a is interpreted by
0.00/0.33	 /     \
0.00/0.33	|  1 14 |
0.00/0.33	|  0  1 |
0.00/0.33	 \     /
0.00/0.33	b is interpreted by
0.00/0.33	 /   \
0.00/0.33	| 1 9 |
0.00/0.33	| 0 1 |
0.00/0.33	 \   /
0.00/0.33	c is interpreted by
0.00/0.33	 /   \
0.00/0.33	| 1 6 |
0.00/0.33	| 0 1 |
0.00/0.33	 \   /
0.00/0.33	d is interpreted by
0.00/0.33	 /   \
0.00/0.33	| 1 4 |
0.00/0.33	| 0 1 |
0.00/0.33	 \   /
0.00/0.33	
0.00/0.33	Remains to prove termination of the 3-rule system
0.00/0.33	{ b b -> c c c ,
0.00/0.33	  c c -> d d d ,
0.00/0.33	  c d d -> a }
0.00/0.33	
0.00/0.33	
0.00/0.33	The system was filtered by the following matrix interpretation
0.00/0.33	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.33	
0.00/0.33	a is interpreted by
0.00/0.33	 /   \
0.00/0.33	| 1 0 |
0.00/0.33	| 0 1 |
0.00/0.33	 \   /
0.00/0.33	b is interpreted by
0.00/0.33	 /   \
0.00/0.33	| 1 1 |
0.00/0.33	| 0 1 |
0.00/0.33	 \   /
0.00/0.33	c is interpreted by
0.00/0.33	 /   \
0.00/0.33	| 1 0 |
0.00/0.33	| 0 1 |
0.00/0.33	 \   /
0.00/0.33	d is interpreted by
0.00/0.33	 /   \
0.00/0.33	| 1 0 |
0.00/0.33	| 0 1 |
0.00/0.33	 \   /
0.00/0.33	
0.00/0.33	Remains to prove termination of the 2-rule system
0.00/0.33	{ c c -> d d d ,
0.00/0.33	  c d d -> a }
0.00/0.33	
0.00/0.33	
0.00/0.33	The system was filtered by the following matrix interpretation
0.00/0.33	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.33	
0.00/0.33	a is interpreted by
0.00/0.33	 /   \
0.00/0.33	| 1 0 |
0.00/0.33	| 0 1 |
0.00/0.33	 \   /
0.00/0.33	b is interpreted by
0.00/0.33	 /   \
0.00/0.33	| 1 0 |
0.00/0.33	| 0 1 |
0.00/0.33	 \   /
0.00/0.33	c is interpreted by
0.00/0.33	 /   \
0.00/0.33	| 1 1 |
0.00/0.33	| 0 1 |
0.00/0.33	 \   /
0.00/0.33	d is interpreted by
0.00/0.33	 /   \
0.00/0.33	| 1 0 |
0.00/0.33	| 0 1 |
0.00/0.33	 \   /
0.00/0.33	
0.00/0.33	Remains to prove termination of the 0-rule system
0.00/0.33	{ }
0.00/0.33	
0.00/0.33	
0.00/0.33	The system is trivially terminating.
0.00/0.35	EOF