1.52/0.61	YES
1.70/0.63	
1.70/0.63	
1.70/0.63	The system was filtered by the following matrix interpretation
1.70/0.63	of type E_J with J = {1,...,2} and dimension 6:
1.70/0.63	
1.70/0.63	c is interpreted by
1.70/0.63	 /           \
1.70/0.63	| 1 0 1 0 1 0 |
1.70/0.63	| 0 1 0 0 0 0 |
1.70/0.63	| 0 0 0 0 0 0 |
1.70/0.63	| 0 0 0 0 0 0 |
1.70/0.63	| 0 0 0 0 0 0 |
1.70/0.63	| 0 0 0 1 0 0 |
1.70/0.63	 \           /
1.70/0.63	b is interpreted by
1.70/0.63	 /           \
1.70/0.63	| 1 0 0 0 1 0 |
1.70/0.63	| 0 1 0 0 0 0 |
1.70/0.63	| 0 0 0 1 0 0 |
1.70/0.63	| 0 1 0 0 0 0 |
1.70/0.63	| 0 0 0 0 0 0 |
1.70/0.63	| 0 0 0 0 0 0 |
1.70/0.63	 \           /
1.70/0.63	a is interpreted by
1.70/0.63	 /           \
1.70/0.63	| 1 0 0 0 1 0 |
1.70/0.63	| 0 1 0 0 0 0 |
1.70/0.63	| 0 0 0 0 0 0 |
1.70/0.63	| 0 1 1 0 0 0 |
1.70/0.63	| 0 0 0 0 0 1 |
1.70/0.63	| 0 0 0 0 0 0 |
1.70/0.63	 \           /
1.70/0.63	
1.70/0.63	Remains to prove termination of the 5-rule system
1.70/0.63	{ b c c -> a c c ,
1.70/0.63	  b a c ->= b c b ,
1.70/0.63	  a a c ->= c c c ,
1.70/0.63	  c a c ->= c c b ,
1.70/0.63	  b c a ->= a a b }
1.70/0.63	
1.70/0.63	
1.70/0.63	The system was filtered by the following matrix interpretation
1.70/0.63	of type E_J with J = {1,...,2} and dimension 6:
1.70/0.63	
1.70/0.63	c is interpreted by
1.70/0.63	 /           \
1.70/0.63	| 1 0 0 0 1 0 |
1.70/0.63	| 0 1 0 0 0 0 |
1.70/0.63	| 0 0 0 0 0 0 |
1.70/0.63	| 0 1 0 0 0 0 |
1.70/0.63	| 0 0 0 0 0 0 |
1.70/0.63	| 0 0 1 0 0 0 |
1.70/0.63	 \           /
1.70/0.63	b is interpreted by
1.70/0.63	 /           \
1.70/0.63	| 1 0 1 0 0 0 |
1.70/0.63	| 0 1 0 0 0 0 |
1.70/0.63	| 0 1 0 0 0 0 |
1.70/0.63	| 0 0 0 0 0 0 |
1.70/0.63	| 0 0 0 0 0 0 |
1.70/0.63	| 0 0 0 0 0 0 |
1.70/0.63	 \           /
1.70/0.63	a is interpreted by
1.70/0.63	 /           \
1.70/0.63	| 1 0 0 0 0 1 |
1.70/0.63	| 0 1 0 0 0 0 |
1.70/0.63	| 0 0 0 1 0 0 |
1.70/0.63	| 0 0 1 0 0 0 |
1.70/0.63	| 0 0 1 0 0 1 |
1.70/0.63	| 0 0 0 0 0 0 |
1.70/0.63	 \           /
1.70/0.63	
1.70/0.63	Remains to prove termination of the 4-rule system
1.70/0.63	{ b c c -> a c c ,
1.70/0.63	  a a c ->= c c c ,
1.70/0.63	  c a c ->= c c b ,
1.70/0.63	  b c a ->= a a b }
1.70/0.63	
1.70/0.63	
1.70/0.63	The system was filtered by the following matrix interpretation
1.70/0.63	of type E_J with J = {1,...,2} and dimension 4:
1.70/0.63	
1.70/0.63	c is interpreted by
1.70/0.63	 /       \
1.70/0.63	| 1 0 1 1 |
1.70/0.63	| 0 2 0 0 |
1.70/0.63	| 0 0 0 1 |
1.70/0.63	| 0 0 0 0 |
1.70/0.63	 \       /
1.70/0.63	b is interpreted by
1.70/0.63	 /       \
1.70/0.63	| 1 0 1 0 |
1.70/0.63	| 0 2 0 0 |
1.70/0.63	| 0 0 0 0 |
1.70/0.63	| 0 1 0 0 |
1.70/0.63	 \       /
1.70/0.63	a is interpreted by
1.70/0.63	 /       \
1.70/0.63	| 1 0 1 0 |
1.70/0.63	| 0 2 0 0 |
1.70/0.63	| 0 0 0 0 |
1.70/0.63	| 0 1 0 0 |
1.70/0.63	 \       /
1.70/0.63	
1.70/0.63	Remains to prove termination of the 3-rule system
1.70/0.63	{ b c c -> a c c ,
1.70/0.63	  a a c ->= c c c ,
1.70/0.63	  c a c ->= c c b }
1.70/0.63	
1.70/0.63	
1.70/0.63	The system was filtered by the following matrix interpretation
1.70/0.63	of type E_J with J = {1,...,2} and dimension 4:
1.70/0.63	
1.70/0.63	c is interpreted by
1.70/0.63	 /       \
1.70/0.63	| 1 0 0 0 |
1.70/0.63	| 0 1 0 0 |
1.70/0.63	| 0 0 0 0 |
1.70/0.63	| 0 1 0 0 |
1.70/0.63	 \       /
1.70/0.63	b is interpreted by
1.70/0.63	 /       \
1.70/0.63	| 1 0 0 0 |
1.70/0.63	| 0 1 0 0 |
1.70/0.63	| 0 1 0 0 |
1.70/0.63	| 0 0 0 0 |
1.70/0.63	 \       /
1.70/0.63	a is interpreted by
1.70/0.63	 /       \
1.70/0.63	| 1 0 1 0 |
1.70/0.63	| 0 1 0 0 |
1.70/0.63	| 0 0 0 1 |
1.70/0.63	| 0 0 1 0 |
1.70/0.63	 \       /
1.70/0.63	
1.70/0.63	Remains to prove termination of the 2-rule system
1.70/0.63	{ b c c -> a c c ,
1.70/0.63	  c a c ->= c c b }
1.70/0.63	
1.70/0.63	
1.70/0.63	The system was filtered by the following matrix interpretation
1.70/0.63	of type E_J with J = {1,...,2} and dimension 4:
1.70/0.63	
1.70/0.63	c is interpreted by
1.70/0.63	 /       \
1.70/0.63	| 1 0 1 0 |
1.70/0.63	| 0 1 0 0 |
1.70/0.63	| 0 0 0 0 |
1.70/0.63	| 0 1 1 1 |
1.70/0.63	 \       /
1.70/0.63	b is interpreted by
1.70/0.63	 /       \
1.70/0.63	| 1 0 0 0 |
1.70/0.63	| 0 1 0 0 |
1.70/0.63	| 0 0 0 1 |
1.70/0.63	| 0 0 0 0 |
1.70/0.63	 \       /
1.70/0.63	a is interpreted by
1.70/0.63	 /       \
1.70/0.63	| 1 0 0 0 |
1.70/0.63	| 0 1 0 0 |
1.70/0.63	| 0 0 0 1 |
1.70/0.63	| 0 0 0 0 |
1.70/0.63	 \       /
1.70/0.63	
1.70/0.63	Remains to prove termination of the 1-rule system
1.70/0.63	{ b c c -> a c c }
1.70/0.63	
1.70/0.63	
1.70/0.63	The system was filtered by the following matrix interpretation
1.70/0.63	of type E_J with J = {1,...,2} and dimension 2:
1.70/0.63	
1.70/0.63	c is interpreted by
1.70/0.63	 /   \
1.70/0.63	| 1 0 |
1.70/0.63	| 0 1 |
1.70/0.63	 \   /
1.70/0.63	b is interpreted by
1.70/0.63	 /   \
1.70/0.63	| 1 1 |
1.70/0.63	| 0 1 |
1.70/0.63	 \   /
1.70/0.63	a is interpreted by
1.70/0.63	 /   \
1.70/0.63	| 1 0 |
1.70/0.63	| 0 1 |
1.70/0.63	 \   /
1.70/0.63	
1.70/0.63	Remains to prove termination of the 0-rule system
1.70/0.63	{ }
1.70/0.63	
1.70/0.63	
1.70/0.63	The system is trivially terminating.
1.73/0.66	EOF