2.44/0.83	YES
2.44/0.84	
2.44/0.84	
2.44/0.84	The system was filtered by the following matrix interpretation
2.44/0.84	of type E_J with J = {1,...,2} and dimension 3:
2.44/0.84	
2.44/0.84	a is interpreted by
2.44/0.84	 /     \
2.44/0.84	| 1 1 1 |
2.44/0.84	| 0 1 0 |
2.44/0.84	| 0 1 0 |
2.44/0.84	 \     /
2.44/0.84	b is interpreted by
2.44/0.84	 /     \
2.44/0.84	| 1 2 1 |
2.44/0.84	| 0 1 0 |
2.44/0.84	| 0 1 0 |
2.44/0.84	 \     /
2.44/0.84	c is interpreted by
2.44/0.84	 /     \
2.44/0.84	| 3 0 2 |
2.44/0.84	| 0 1 0 |
2.44/0.84	| 0 0 1 |
2.44/0.84	 \     /
2.44/0.84	
2.44/0.84	Remains to prove termination of the 3-rule system
2.44/0.84	{ b a -> a b ,
2.44/0.84	  b b c -> c a ,
2.44/0.84	  b b -> a a a }
2.44/0.84	
2.44/0.84	
2.44/0.84	The system was filtered by the following matrix interpretation
2.44/0.84	of type E_J with J = {1,...,2} and dimension 2:
2.44/0.84	
2.44/0.84	a is interpreted by
2.44/0.84	 /   \
2.44/0.84	| 1 0 |
2.44/0.84	| 0 1 |
2.44/0.84	 \   /
2.44/0.84	b is interpreted by
2.44/0.84	 /   \
2.44/0.84	| 1 1 |
2.44/0.84	| 0 1 |
2.44/0.84	 \   /
2.44/0.84	c is interpreted by
2.44/0.84	 /   \
2.44/0.84	| 1 0 |
2.44/0.84	| 0 1 |
2.44/0.84	 \   /
2.44/0.84	
2.44/0.84	Remains to prove termination of the 1-rule system
2.44/0.84	{ b a -> a b }
2.44/0.84	
2.44/0.84	
2.44/0.84	The system was filtered by the following matrix interpretation
2.44/0.84	of type E_J with J = {1,...,2} and dimension 3:
2.44/0.84	
2.44/0.84	a is interpreted by
2.44/0.84	 /     \
2.44/0.84	| 1 0 0 |
2.44/0.84	| 0 1 0 |
2.44/0.84	| 0 1 1 |
2.44/0.84	 \     /
2.44/0.84	b is interpreted by
2.44/0.84	 /     \
2.44/0.84	| 1 0 1 |
2.44/0.84	| 0 1 0 |
2.44/0.84	| 0 0 1 |
2.44/0.84	 \     /
2.44/0.84	c is interpreted by
2.44/0.84	 /     \
2.44/0.84	| 1 0 0 |
2.44/0.84	| 0 1 0 |
2.44/0.84	| 0 0 0 |
2.44/0.84	 \     /
2.44/0.84	
2.44/0.84	Remains to prove termination of the 0-rule system
2.44/0.84	{ }
2.44/0.84	
2.44/0.84	
2.44/0.84	The system is trivially terminating.
2.69/0.89	EOF