0.00/0.56	YES
1.56/0.58	
1.56/0.58	
1.56/0.58	The system was filtered by the following matrix interpretation
1.56/0.58	of type E_J with J = {1,...,2} and dimension 6:
1.56/0.58	
1.56/0.58	a is interpreted by
1.56/0.58	 /           \
1.56/0.58	| 1 0 1 0 0 0 |
1.56/0.58	| 0 1 0 0 0 0 |
1.56/0.58	| 0 0 0 0 0 0 |
1.56/0.58	| 0 1 0 0 0 0 |
1.56/0.58	| 0 0 0 1 0 0 |
1.56/0.58	| 0 1 0 0 0 0 |
1.56/0.58	 \           /
1.56/0.58	b is interpreted by
1.56/0.58	 /           \
1.56/0.58	| 1 0 0 0 0 0 |
1.56/0.58	| 0 1 0 0 0 0 |
1.56/0.58	| 0 0 0 0 0 0 |
1.56/0.58	| 0 0 0 0 1 0 |
1.56/0.58	| 0 0 0 0 0 0 |
1.56/0.58	| 0 1 0 0 0 0 |
1.56/0.58	 \           /
1.56/0.58	c is interpreted by
1.56/0.58	 /           \
1.56/0.58	| 1 0 0 0 0 0 |
1.56/0.58	| 0 1 0 0 0 0 |
1.56/0.58	| 0 0 0 1 0 0 |
1.56/0.58	| 0 0 0 0 0 0 |
1.56/0.58	| 0 0 0 0 0 1 |
1.56/0.58	| 0 0 0 0 1 0 |
1.56/0.58	 \           /
1.56/0.58	
1.56/0.58	Remains to prove termination of the 5-rule system
1.56/0.58	{ a a a -> b b c ,
1.56/0.58	  b b b -> c c b ,
1.56/0.58	  b c b ->= a c c ,
1.56/0.58	  c c a ->= b b a ,
1.56/0.58	  c a a ->= b b c }
1.56/0.58	
1.56/0.58	
1.56/0.58	The system was filtered by the following matrix interpretation
1.56/0.58	of type E_J with J = {1,...,2} and dimension 6:
1.56/0.58	
1.56/0.58	a is interpreted by
1.56/0.58	 /           \
1.56/0.58	| 1 0 1 0 0 0 |
1.56/0.58	| 0 1 0 0 0 0 |
1.56/0.58	| 0 0 0 1 0 0 |
1.56/0.58	| 0 1 0 0 0 0 |
1.56/0.58	| 0 0 0 0 0 0 |
1.56/0.58	| 0 1 0 0 0 0 |
1.56/0.58	 \           /
1.56/0.58	b is interpreted by
1.56/0.58	 /           \
1.56/0.58	| 1 0 0 0 0 0 |
1.56/0.58	| 0 1 0 0 0 0 |
1.56/0.58	| 0 0 0 0 0 0 |
1.56/0.58	| 0 0 0 0 1 0 |
1.56/0.58	| 0 0 0 0 0 0 |
1.56/0.58	| 0 1 0 0 0 0 |
1.56/0.58	 \           /
1.56/0.58	c is interpreted by
1.56/0.58	 /           \
1.56/0.58	| 1 0 0 0 0 0 |
1.56/0.58	| 0 1 0 0 0 0 |
1.56/0.58	| 0 0 0 0 0 0 |
1.56/0.58	| 0 0 0 0 0 0 |
1.56/0.58	| 0 0 0 0 0 1 |
1.56/0.58	| 0 0 1 0 1 0 |
1.56/0.58	 \           /
1.56/0.58	
1.56/0.58	Remains to prove termination of the 4-rule system
1.56/0.58	{ b b b -> c c b ,
1.56/0.58	  b c b ->= a c c ,
1.56/0.58	  c c a ->= b b a ,
1.56/0.58	  c a a ->= b b c }
1.56/0.58	
1.56/0.58	
1.56/0.58	The system was filtered by the following matrix interpretation
1.56/0.58	of type E_J with J = {1,...,2} and dimension 4:
1.56/0.58	
1.56/0.58	a is interpreted by
1.56/0.58	 /       \
1.56/0.58	| 1 1 0 0 |
1.56/0.58	| 0 1 0 0 |
1.56/0.58	| 0 0 0 0 |
1.56/0.58	| 0 0 0 0 |
1.56/0.58	 \       /
1.56/0.58	b is interpreted by
1.56/0.58	 /       \
1.56/0.58	| 1 0 1 0 |
1.56/0.58	| 0 1 0 0 |
1.56/0.58	| 0 0 0 1 |
1.56/0.58	| 0 1 0 0 |
1.56/0.58	 \       /
1.56/0.58	c is interpreted by
1.56/0.58	 /       \
1.56/0.58	| 1 0 0 0 |
1.56/0.58	| 0 1 0 0 |
1.56/0.58	| 0 1 0 0 |
1.56/0.58	| 0 1 0 0 |
1.56/0.58	 \       /
1.56/0.58	
1.56/0.58	Remains to prove termination of the 3-rule system
1.56/0.58	{ b c b ->= a c c ,
1.56/0.58	  c c a ->= b b a ,
1.56/0.58	  c a a ->= b b c }
1.56/0.58	
1.56/0.58	
1.56/0.58	The system is trivially terminating.
1.58/0.60	EOF