55.71/14.39	YES
55.71/14.40	
55.71/14.40	
55.71/14.40	The system was filtered by the following matrix interpretation
55.71/14.40	of type E_J with J = {1,...,2} and dimension 4:
55.71/14.40	
55.71/14.40	a is interpreted by
55.71/14.40	 /       \
55.71/14.40	| 1 0 0 1 |
55.71/14.40	| 0 1 0 0 |
55.71/14.40	| 0 0 0 1 |
55.71/14.40	| 0 1 0 0 |
55.71/14.40	 \       /
55.71/14.40	b is interpreted by
55.71/14.40	 /       \
55.71/14.40	| 1 0 1 0 |
55.71/14.40	| 0 1 0 0 |
55.71/14.40	| 0 1 0 0 |
55.71/14.40	| 0 1 0 0 |
55.71/14.40	 \       /
55.71/14.40	c is interpreted by
55.71/14.40	 /       \
55.71/14.40	| 1 0 1 0 |
55.71/14.40	| 0 1 0 0 |
55.71/14.40	| 0 0 0 0 |
55.71/14.40	| 0 1 0 0 |
55.71/14.40	 \       /
55.71/14.40	
55.71/14.40	Remains to prove termination of the 4-rule system
55.71/14.40	{ b c b -> a b c ,
55.71/14.40	  a a b -> c a b ,
55.71/14.40	  c a c ->= c b b ,
55.71/14.40	  c b c ->= c c b }
55.71/14.40	
55.71/14.40	
55.71/14.40	The system was filtered by the following matrix interpretation
55.71/14.40	of type E_J with J = {1,...,2} and dimension 4:
55.71/14.40	
55.71/14.40	a is interpreted by
55.71/14.40	 /       \
55.71/14.40	| 2 1 1 0 |
55.71/14.40	| 0 1 0 0 |
55.71/14.40	| 0 0 0 1 |
55.71/14.40	| 0 0 0 0 |
55.71/14.40	 \       /
55.71/14.40	b is interpreted by
55.71/14.40	 /       \
55.71/14.40	| 2 0 0 2 |
55.71/14.40	| 0 1 0 0 |
55.71/14.40	| 0 1 0 0 |
55.71/14.40	| 0 1 0 0 |
55.71/14.40	 \       /
55.71/14.40	c is interpreted by
55.71/14.40	 /       \
55.71/14.40	| 2 1 0 2 |
55.71/14.40	| 0 1 0 0 |
55.71/14.40	| 0 0 0 0 |
55.71/14.40	| 0 0 0 0 |
55.71/14.40	 \       /
55.71/14.40	
55.71/14.40	Remains to prove termination of the 3-rule system
55.71/14.40	{ b c b -> a b c ,
55.71/14.40	  c a c ->= c b b ,
55.71/14.40	  c b c ->= c c b }
55.71/14.40	
55.71/14.40	
55.71/14.40	The system was filtered by the following matrix interpretation
55.71/14.40	of type E_J with J = {1,...,2} and dimension 2:
55.71/14.40	
55.71/14.40	a is interpreted by
55.71/14.40	 /   \
55.71/14.40	| 1 0 |
55.71/14.40	| 0 1 |
55.71/14.40	 \   /
55.71/14.40	b is interpreted by
55.71/14.40	 /   \
55.71/14.40	| 1 0 |
55.71/14.40	| 0 1 |
55.71/14.40	 \   /
55.71/14.40	c is interpreted by
55.71/14.40	 /   \
55.71/14.40	| 1 1 |
55.71/14.40	| 0 1 |
55.71/14.40	 \   /
55.71/14.40	
55.71/14.40	Remains to prove termination of the 2-rule system
55.71/14.40	{ b c b -> a b c ,
55.71/14.40	  c b c ->= c c b }
55.71/14.40	
55.71/14.40	
55.71/14.40	The system was filtered by the following matrix interpretation
55.71/14.40	of type E_J with J = {1,...,2} and dimension 2:
55.71/14.40	
55.71/14.40	a is interpreted by
55.71/14.40	 /   \
55.71/14.40	| 1 0 |
55.71/14.40	| 0 1 |
55.71/14.40	 \   /
55.71/14.40	b is interpreted by
55.71/14.40	 /   \
55.71/14.40	| 1 1 |
55.71/14.40	| 0 1 |
55.71/14.40	 \   /
55.71/14.40	c is interpreted by
55.71/14.40	 /   \
55.71/14.40	| 1 0 |
55.71/14.40	| 0 1 |
55.71/14.40	 \   /
55.71/14.40	
55.71/14.40	Remains to prove termination of the 1-rule system
55.71/14.40	{ c b c ->= c c b }
55.71/14.40	
55.71/14.40	
55.71/14.40	The system is trivially terminating.
55.77/14.45	EOF