1.64/0.59	YES
1.77/0.63	
1.77/0.63	
1.77/0.63	The system was filtered by the following matrix interpretation
1.77/0.63	of type E_J with J = {1,...,2} and dimension 2:
1.77/0.63	
1.77/0.63	a is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 1 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	b is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 0 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	c is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 0 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	C is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 0 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	B is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 0 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	A is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 0 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	
1.77/0.63	Remains to prove termination of the 10-rule system
1.77/0.63	{ a b c -> c b a ,
1.77/0.63	  C B A -> A B C ,
1.77/0.63	  b a C -> C a b ,
1.77/0.63	  c A B -> B A c ,
1.77/0.63	  A c b -> b c A ,
1.77/0.63	  B C a -> a C B ,
1.77/0.63	  b B -> ,
1.77/0.63	  B b -> ,
1.77/0.63	  c C -> ,
1.77/0.63	  C c -> }
1.77/0.63	
1.77/0.63	
1.77/0.63	The system was filtered by the following matrix interpretation
1.77/0.63	of type E_J with J = {1,...,2} and dimension 2:
1.77/0.63	
1.77/0.63	a is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 0 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	b is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 1 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	c is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 0 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	C is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 0 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	B is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 0 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	A is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 0 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	
1.77/0.63	Remains to prove termination of the 8-rule system
1.77/0.63	{ a b c -> c b a ,
1.77/0.63	  C B A -> A B C ,
1.77/0.63	  b a C -> C a b ,
1.77/0.63	  c A B -> B A c ,
1.77/0.63	  A c b -> b c A ,
1.77/0.63	  B C a -> a C B ,
1.77/0.63	  c C -> ,
1.77/0.63	  C c -> }
1.77/0.63	
1.77/0.63	
1.77/0.63	The system was filtered by the following matrix interpretation
1.77/0.63	of type E_J with J = {1,...,2} and dimension 2:
1.77/0.63	
1.77/0.63	a is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 0 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	b is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 0 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	c is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 1 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	C is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 0 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	B is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 0 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	A is interpreted by
1.77/0.63	 /   \
1.77/0.63	| 1 0 |
1.77/0.63	| 0 1 |
1.77/0.63	 \   /
1.77/0.63	
1.77/0.63	Remains to prove termination of the 6-rule system
1.77/0.63	{ a b c -> c b a ,
1.77/0.63	  C B A -> A B C ,
1.77/0.63	  b a C -> C a b ,
1.77/0.63	  c A B -> B A c ,
1.77/0.63	  A c b -> b c A ,
1.77/0.63	  B C a -> a C B }
1.77/0.63	
1.77/0.63	
1.77/0.63	The system was filtered by the following matrix interpretation
1.77/0.63	of type E_J with J = {1,...,2} and dimension 4:
1.77/0.63	
1.77/0.63	a is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 1 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 1 0 |
1.77/0.63	 \       /
1.77/0.63	b is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 1 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	c is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 1 1 0 |
1.77/0.63	 \       /
1.77/0.63	C is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 1 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	B is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	A is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 1 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	
1.77/0.63	Remains to prove termination of the 5-rule system
1.77/0.63	{ C B A -> A B C ,
1.77/0.63	  b a C -> C a b ,
1.77/0.63	  c A B -> B A c ,
1.77/0.63	  A c b -> b c A ,
1.77/0.63	  B C a -> a C B }
1.77/0.63	
1.77/0.63	
1.77/0.63	The system was filtered by the following matrix interpretation
1.77/0.63	of type E_J with J = {1,...,2} and dimension 4:
1.77/0.63	
1.77/0.63	a is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 1 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	b is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 1 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 1 0 |
1.77/0.63	 \       /
1.77/0.63	c is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	C is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 1 1 0 |
1.77/0.63	 \       /
1.77/0.63	B is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 1 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	A is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	
1.77/0.63	Remains to prove termination of the 4-rule system
1.77/0.63	{ C B A -> A B C ,
1.77/0.63	  c A B -> B A c ,
1.77/0.63	  A c b -> b c A ,
1.77/0.63	  B C a -> a C B }
1.77/0.63	
1.77/0.63	
1.77/0.63	The system was filtered by the following matrix interpretation
1.77/0.63	of type E_J with J = {1,...,2} and dimension 4:
1.77/0.63	
1.77/0.63	a is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	b is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 1 1 0 |
1.77/0.63	 \       /
1.77/0.63	c is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 1 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	C is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	B is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 1 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	A is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 1 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 1 0 |
1.77/0.63	 \       /
1.77/0.63	
1.77/0.63	Remains to prove termination of the 3-rule system
1.77/0.63	{ C B A -> A B C ,
1.77/0.63	  c A B -> B A c ,
1.77/0.63	  B C a -> a C B }
1.77/0.63	
1.77/0.63	
1.77/0.63	The system was filtered by the following matrix interpretation
1.77/0.63	of type E_J with J = {1,...,2} and dimension 4:
1.77/0.63	
1.77/0.63	a is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	b is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	c is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 1 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 1 0 |
1.77/0.63	 \       /
1.77/0.63	C is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 1 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	B is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 1 1 0 |
1.77/0.63	 \       /
1.77/0.63	A is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 1 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	
1.77/0.63	Remains to prove termination of the 2-rule system
1.77/0.63	{ C B A -> A B C ,
1.77/0.63	  B C a -> a C B }
1.77/0.63	
1.77/0.63	
1.77/0.63	The system was filtered by the following matrix interpretation
1.77/0.63	of type E_J with J = {1,...,2} and dimension 4:
1.77/0.63	
1.77/0.63	a is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 1 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	b is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	c is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	C is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 2 0 1 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 1 0 |
1.77/0.63	 \       /
1.77/0.63	B is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 1 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	A is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 1 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	 \       /
1.77/0.63	
1.77/0.63	Remains to prove termination of the 1-rule system
1.77/0.63	{ B C a -> a C B }
1.77/0.63	
1.77/0.63	
1.77/0.63	The system was filtered by the following matrix interpretation
1.77/0.63	of type E_J with J = {1,...,2} and dimension 4:
1.77/0.63	
1.77/0.63	a is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 1 1 0 |
1.77/0.63	 \       /
1.77/0.63	b is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	c is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	C is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 1 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	B is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 1 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 1 0 |
1.77/0.63	 \       /
1.77/0.63	A is interpreted by
1.77/0.63	 /       \
1.77/0.63	| 1 0 0 0 |
1.77/0.63	| 0 1 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	| 0 0 0 0 |
1.77/0.63	 \       /
1.77/0.63	
1.77/0.63	Remains to prove termination of the 0-rule system
1.77/0.63	{ }
1.77/0.63	
1.77/0.63	
1.77/0.63	The system is trivially terminating.
1.79/0.66	EOF