0.00/0.39	YES
0.00/0.41	
0.00/0.41	
0.00/0.41	The system was filtered by the following matrix interpretation
0.00/0.41	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.41	
0.00/0.41	b is interpreted by
0.00/0.41	 /       \
0.00/0.41	| 1 0 1 0 |
0.00/0.41	| 0 1 0 0 |
0.00/0.41	| 0 0 0 0 |
0.00/0.41	| 0 0 1 0 |
0.00/0.41	 \       /
0.00/0.41	c is interpreted by
0.00/0.41	 /       \
0.00/0.41	| 1 0 0 0 |
0.00/0.41	| 0 1 0 0 |
0.00/0.41	| 0 0 0 1 |
0.00/0.41	| 0 0 0 0 |
0.00/0.41	 \       /
0.00/0.41	a is interpreted by
0.00/0.41	 /       \
0.00/0.41	| 1 0 1 0 |
0.00/0.41	| 0 1 0 0 |
0.00/0.41	| 0 0 0 0 |
0.00/0.41	| 0 1 0 0 |
0.00/0.41	 \       /
0.00/0.41	
0.00/0.41	Remains to prove termination of the 2-rule system
0.00/0.41	{ b -> c c ,
0.00/0.41	  a a -> a c b a }
0.00/0.41	
0.00/0.41	
0.00/0.41	The system was filtered by the following matrix interpretation
0.00/0.41	of type E_J with J = {1,...,2} and dimension 3:
0.00/0.41	
0.00/0.41	b is interpreted by
0.00/0.41	 /     \
0.00/0.41	| 1 0 0 |
0.00/0.41	| 0 1 0 |
0.00/0.41	| 0 0 0 |
0.00/0.41	 \     /
0.00/0.41	c is interpreted by
0.00/0.41	 /     \
0.00/0.41	| 1 0 0 |
0.00/0.41	| 0 1 0 |
0.00/0.41	| 0 0 0 |
0.00/0.41	 \     /
0.00/0.41	a is interpreted by
0.00/0.41	 /     \
0.00/0.41	| 1 0 1 |
0.00/0.41	| 0 1 0 |
0.00/0.41	| 0 1 0 |
0.00/0.41	 \     /
0.00/0.41	
0.00/0.41	Remains to prove termination of the 1-rule system
0.00/0.41	{ b -> c c }
0.00/0.41	
0.00/0.41	
0.00/0.41	The system was filtered by the following matrix interpretation
0.00/0.41	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.41	
0.00/0.41	b is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	c is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 0 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	a is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 0 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	
0.00/0.41	Remains to prove termination of the 0-rule system
0.00/0.41	{ }
0.00/0.41	
0.00/0.41	
0.00/0.41	The system is trivially terminating.
0.00/0.43	EOF