0.00/0.51	YES
0.00/0.53	
0.00/0.53	
0.00/0.53	The system was filtered by the following matrix interpretation
0.00/0.53	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.53	
0.00/0.53	a is interpreted by
0.00/0.53	 /       \
0.00/0.53	| 1 0 1 0 |
0.00/0.53	| 0 1 0 0 |
0.00/0.53	| 0 0 0 1 |
0.00/0.53	| 0 0 0 0 |
0.00/0.53	 \       /
0.00/0.53	c is interpreted by
0.00/0.53	 /       \
0.00/0.53	| 1 0 1 0 |
0.00/0.53	| 0 1 0 0 |
0.00/0.53	| 0 0 0 0 |
0.00/0.53	| 0 1 0 1 |
0.00/0.53	 \       /
0.00/0.53	b is interpreted by
0.00/0.53	 /       \
0.00/0.53	| 1 0 1 0 |
0.00/0.53	| 0 1 0 0 |
0.00/0.53	| 0 0 0 0 |
0.00/0.53	| 0 0 0 0 |
0.00/0.53	 \       /
0.00/0.53	
0.00/0.53	Remains to prove termination of the 6-rule system
0.00/0.53	{ a c a -> a c b ,
0.00/0.53	  b b c -> b c c ,
0.00/0.53	  c c b -> c a b ,
0.00/0.53	  b a a -> a b a ,
0.00/0.53	  a c a -> b c c ,
0.00/0.53	  b c a ->= b a a }
0.00/0.53	
0.00/0.53	
0.00/0.53	The system was filtered by the following matrix interpretation
0.00/0.53	of type E_J with J = {1,...,2} and dimension 6:
0.00/0.53	
0.00/0.53	a is interpreted by
0.00/0.53	 /           \
0.00/0.53	| 1 0 1 1 1 0 |
0.00/0.53	| 0 1 0 0 0 0 |
0.00/0.53	| 0 0 0 0 0 0 |
0.00/0.53	| 0 1 0 0 0 0 |
0.00/0.53	| 0 0 0 0 0 0 |
0.00/0.53	| 0 0 1 0 0 0 |
0.00/0.53	 \           /
0.00/0.53	c is interpreted by
0.00/0.53	 /           \
0.00/0.53	| 1 1 0 0 0 0 |
0.00/0.53	| 0 1 0 0 0 0 |
0.00/0.53	| 0 1 0 1 0 0 |
0.00/0.53	| 0 0 0 1 0 0 |
0.00/0.53	| 1 0 0 0 0 1 |
0.00/0.53	| 0 0 0 0 0 0 |
0.00/0.53	 \           /
0.00/0.53	b is interpreted by
0.00/0.53	 /           \
0.00/0.53	| 1 0 1 1 0 0 |
0.00/0.53	| 0 1 0 0 0 0 |
0.00/0.53	| 0 0 0 0 0 0 |
0.00/0.53	| 0 1 0 0 0 0 |
0.00/0.53	| 0 0 0 0 0 0 |
0.00/0.53	| 0 0 0 0 0 0 |
0.00/0.53	 \           /
0.00/0.53	
0.00/0.53	Remains to prove termination of the 4-rule system
0.00/0.53	{ a c a -> a c b ,
0.00/0.53	  b b c -> b c c ,
0.00/0.53	  c c b -> c a b ,
0.00/0.53	  b a a -> a b a }
0.00/0.53	
0.00/0.53	
0.00/0.53	The system was filtered by the following matrix interpretation
0.00/0.53	of type E_J with J = {1,...,2} and dimension 6:
0.00/0.53	
0.00/0.53	a is interpreted by
0.00/0.53	 /           \
0.00/0.53	| 1 0 0 0 1 0 |
0.00/0.53	| 0 1 0 0 0 0 |
0.00/0.53	| 0 0 0 0 0 0 |
0.00/0.53	| 0 0 0 0 0 0 |
0.00/0.53	| 0 0 0 0 0 0 |
0.00/0.53	| 0 0 0 0 0 0 |
0.00/0.53	 \           /
0.00/0.53	c is interpreted by
0.00/0.53	 /           \
0.00/0.53	| 1 0 1 0 0 0 |
0.00/0.53	| 0 1 0 0 0 0 |
0.00/0.53	| 0 0 0 1 0 0 |
0.00/0.53	| 0 0 0 0 0 0 |
0.00/0.53	| 0 0 0 0 0 0 |
0.00/0.53	| 0 0 0 1 0 0 |
0.00/0.53	 \           /
0.00/0.53	b is interpreted by
0.00/0.53	 /           \
0.00/0.53	| 1 0 0 0 1 0 |
0.00/0.53	| 0 1 0 0 0 0 |
0.00/0.53	| 0 0 0 0 0 0 |
0.00/0.53	| 0 1 0 0 0 1 |
0.00/0.53	| 0 0 0 0 0 1 |
0.00/0.53	| 0 0 0 0 0 0 |
0.00/0.53	 \           /
0.00/0.53	
0.00/0.53	Remains to prove termination of the 3-rule system
0.00/0.53	{ a c a -> a c b ,
0.00/0.53	  b b c -> b c c ,
0.00/0.53	  b a a -> a b a }
0.00/0.53	
0.00/0.53	
0.00/0.53	The system was filtered by the following matrix interpretation
0.00/0.53	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.53	
0.00/0.53	a is interpreted by
0.00/0.53	 /   \
0.00/0.53	| 1 1 |
0.00/0.53	| 0 1 |
0.00/0.53	 \   /
0.00/0.53	c is interpreted by
0.00/0.53	 /   \
0.00/0.53	| 1 0 |
0.00/0.53	| 0 1 |
0.00/0.53	 \   /
0.00/0.53	b is interpreted by
0.00/0.53	 /   \
0.00/0.53	| 1 0 |
0.00/0.53	| 0 1 |
0.00/0.53	 \   /
0.00/0.53	
0.00/0.53	Remains to prove termination of the 2-rule system
0.00/0.53	{ b b c -> b c c ,
0.00/0.53	  b a a -> a b a }
0.00/0.53	
0.00/0.53	
0.00/0.53	The system was filtered by the following matrix interpretation
0.00/0.53	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.53	
0.00/0.53	a is interpreted by
0.00/0.53	 /   \
0.00/0.53	| 1 0 |
0.00/0.53	| 0 1 |
0.00/0.53	 \   /
0.00/0.53	c is interpreted by
0.00/0.53	 /   \
0.00/0.53	| 1 0 |
0.00/0.53	| 0 1 |
0.00/0.53	 \   /
0.00/0.53	b is interpreted by
0.00/0.53	 /   \
0.00/0.53	| 1 1 |
0.00/0.53	| 0 1 |
0.00/0.53	 \   /
0.00/0.53	
0.00/0.53	Remains to prove termination of the 1-rule system
0.00/0.53	{ b a a -> a b a }
0.00/0.53	
0.00/0.53	
0.00/0.53	The system was filtered by the following matrix interpretation
0.00/0.53	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.53	
0.00/0.53	a is interpreted by
0.00/0.53	 /       \
0.00/0.53	| 1 0 0 0 |
0.00/0.53	| 0 1 0 0 |
0.00/0.53	| 0 0 0 1 |
0.00/0.53	| 0 1 0 1 |
0.00/0.53	 \       /
0.00/0.53	c is interpreted by
0.00/0.53	 /       \
0.00/0.53	| 1 0 0 0 |
0.00/0.53	| 0 1 0 0 |
0.00/0.53	| 0 0 0 0 |
0.00/0.53	| 0 0 0 0 |
0.00/0.53	 \       /
0.00/0.53	b is interpreted by
0.00/0.53	 /       \
0.00/0.53	| 1 0 1 0 |
0.00/0.53	| 0 1 0 0 |
0.00/0.53	| 0 0 1 0 |
0.00/0.53	| 0 0 1 0 |
0.00/0.53	 \       /
0.00/0.53	
0.00/0.53	Remains to prove termination of the 0-rule system
0.00/0.53	{ }
0.00/0.53	
0.00/0.53	
0.00/0.53	The system is trivially terminating.
1.43/0.58	EOF