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 6:
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 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 1 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	 \           /
0.00/0.53	a 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 1 0 0 0 0 |
0.00/0.53	| 0 0 0 0 0 1 |
0.00/0.53	| 0 0 1 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 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 0 0 0 0 0 |
0.00/0.53	| 0 1 0 0 0 0 |
0.00/0.53	 \           /
0.00/0.53	
0.00/0.53	Remains to prove termination of the 5-rule system
0.00/0.53	{ c a b -> c b b ,
0.00/0.53	  b c c -> c c c ,
0.00/0.53	  c b b ->= c c c ,
0.00/0.53	  c a c ->= a a b ,
0.00/0.53	  b c b ->= b b b }
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	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 0 0 0 |
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 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 0 0 |
0.00/0.53	| 0 1 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	{ b c c -> c c c ,
0.00/0.53	  c b b ->= c c c ,
0.00/0.53	  c a c ->= a a b ,
0.00/0.53	  b c b ->= b b b }
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	c 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 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 1 0 0 0 |
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 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 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 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 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 3-rule system
0.00/0.53	{ b c c -> c c c ,
0.00/0.53	  c b b ->= c c c ,
0.00/0.53	  c a c ->= a a b }
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	c 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	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	b is interpreted by
0.00/0.53	 /   \
0.00/0.53	| 1 2 |
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	{ c a c ->= a a b }
0.00/0.53	
0.00/0.53	
0.00/0.53	The system is trivially terminating.
1.42/0.56	EOF