332.50/85.35	YES
332.50/85.36	
332.50/85.36	
332.50/85.36	The system was filtered by the following matrix interpretation
332.50/85.36	of type E_J with J = {1,...,2} and dimension 4:
332.50/85.36	
332.50/85.36	b is interpreted by
332.50/85.36	 /       \
332.50/85.36	| 2 0 0 1 |
332.50/85.36	| 0 1 0 0 |
332.50/85.36	| 0 0 0 0 |
332.50/85.36	| 0 1 0 0 |
332.50/85.36	 \       /
332.50/85.36	a is interpreted by
332.50/85.36	 /       \
332.50/85.36	| 2 2 0 1 |
332.50/85.36	| 0 1 0 0 |
332.50/85.36	| 0 0 0 0 |
332.50/85.36	| 0 1 0 0 |
332.50/85.36	 \       /
332.50/85.36	c is interpreted by
332.50/85.36	 /       \
332.50/85.36	| 2 2 1 1 |
332.50/85.36	| 0 1 0 0 |
332.50/85.36	| 0 0 0 1 |
332.50/85.36	| 0 0 1 0 |
332.50/85.36	 \       /
332.50/85.36	
332.50/85.36	Remains to prove termination of the 2-rule system
332.50/85.36	{ a a a -> c c a ,
332.50/85.36	  b a c -> a b a }
332.50/85.36	
332.50/85.36	
332.50/85.36	The system was filtered by the following matrix interpretation
332.50/85.36	of type E_J with J = {1,...,2} and dimension 4:
332.50/85.36	
332.50/85.36	b is interpreted by
332.50/85.36	 /       \
332.50/85.36	| 2 0 0 0 |
332.50/85.36	| 0 1 0 0 |
332.50/85.36	| 0 1 0 0 |
332.50/85.36	| 0 0 0 1 |
332.50/85.36	 \       /
332.50/85.36	a is interpreted by
332.50/85.36	 /       \
332.50/85.36	| 1 1 1 0 |
332.50/85.36	| 0 1 0 0 |
332.50/85.36	| 0 0 0 1 |
332.50/85.36	| 0 1 0 0 |
332.50/85.36	 \       /
332.50/85.36	c is interpreted by
332.50/85.36	 /       \
332.50/85.36	| 1 1 1 0 |
332.50/85.36	| 0 1 0 0 |
332.50/85.36	| 0 0 0 0 |
332.50/85.36	| 0 0 0 0 |
332.50/85.36	 \       /
332.50/85.36	
332.50/85.36	Remains to prove termination of the 1-rule system
332.50/85.36	{ b a c -> a b a }
332.50/85.36	
332.50/85.36	
332.50/85.36	The system was filtered by the following matrix interpretation
332.50/85.36	of type E_J with J = {1,...,2} and dimension 2:
332.50/85.36	
332.50/85.36	b is interpreted by
332.50/85.36	 /   \
332.50/85.36	| 1 0 |
332.50/85.36	| 0 1 |
332.50/85.36	 \   /
332.50/85.36	a is interpreted by
332.50/85.36	 /   \
332.50/85.36	| 1 0 |
332.50/85.36	| 0 1 |
332.50/85.36	 \   /
332.50/85.36	c is interpreted by
332.50/85.36	 /   \
332.50/85.36	| 1 1 |
332.50/85.36	| 0 1 |
332.50/85.36	 \   /
332.50/85.36	
332.50/85.36	Remains to prove termination of the 0-rule system
332.50/85.36	{ }
332.50/85.36	
332.50/85.36	
332.50/85.36	The system is trivially terminating.
332.67/85.44	EOF