0.00/0.40	YES
0.00/0.42	
0.00/0.42	
0.00/0.42	The system was filtered by the following matrix interpretation
0.00/0.42	of type E_J with J = {1,...,2} and dimension 6:
0.00/0.42	
0.00/0.42	c is interpreted by
0.00/0.42	 /           \
0.00/0.42	| 1 0 0 0 0 0 |
0.00/0.42	| 0 1 0 0 0 0 |
0.00/0.42	| 0 0 0 0 0 0 |
0.00/0.42	| 0 0 0 0 0 0 |
0.00/0.42	| 0 0 1 0 0 1 |
0.00/0.42	| 0 0 0 0 0 0 |
0.00/0.42	 \           /
0.00/0.42	a is interpreted by
0.00/0.42	 /           \
0.00/0.42	| 1 0 1 0 0 0 |
0.00/0.42	| 0 1 0 0 0 0 |
0.00/0.42	| 0 0 0 0 0 0 |
0.00/0.42	| 0 1 0 0 0 0 |
0.00/0.42	| 0 0 1 0 0 0 |
0.00/0.42	| 0 1 0 0 0 0 |
0.00/0.42	 \           /
0.00/0.42	b is interpreted by
0.00/0.42	 /           \
0.00/0.42	| 1 0 0 0 0 0 |
0.00/0.42	| 0 1 0 0 0 0 |
0.00/0.42	| 0 0 0 1 0 0 |
0.00/0.42	| 0 0 0 0 1 0 |
0.00/0.42	| 0 0 0 0 0 0 |
0.00/0.42	| 0 0 0 0 1 0 |
0.00/0.42	 \           /
0.00/0.42	
0.00/0.42	Remains to prove termination of the 5-rule system
0.00/0.42	{ c a c -> c c b ,
0.00/0.42	  c c c -> b c c ,
0.00/0.42	  b c a ->= a c b ,
0.00/0.42	  b c b ->= b c b ,
0.00/0.42	  c b a ->= c a a }
0.00/0.42	
0.00/0.42	
0.00/0.42	The system was filtered by the following matrix interpretation
0.00/0.42	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.42	
0.00/0.42	c is interpreted by
0.00/0.42	 /   \
0.00/0.42	| 1 1 |
0.00/0.42	| 0 1 |
0.00/0.42	 \   /
0.00/0.42	a is interpreted by
0.00/0.42	 /   \
0.00/0.42	| 1 0 |
0.00/0.42	| 0 1 |
0.00/0.42	 \   /
0.00/0.42	b is interpreted by
0.00/0.42	 /   \
0.00/0.42	| 1 0 |
0.00/0.42	| 0 1 |
0.00/0.42	 \   /
0.00/0.42	
0.00/0.42	Remains to prove termination of the 4-rule system
0.00/0.42	{ c a c -> c c b ,
0.00/0.42	  b c a ->= a c b ,
0.00/0.42	  b c b ->= b c b ,
0.00/0.42	  c b a ->= c a a }
0.00/0.42	
0.00/0.42	
0.00/0.42	The system was filtered by the following matrix interpretation
0.00/0.42	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.42	
0.00/0.42	c is interpreted by
0.00/0.42	 /       \
0.00/0.42	| 1 0 1 0 |
0.00/0.42	| 0 1 0 0 |
0.00/0.42	| 0 0 0 0 |
0.00/0.42	| 0 1 1 1 |
0.00/0.42	 \       /
0.00/0.42	a is interpreted by
0.00/0.42	 /       \
0.00/0.42	| 1 0 0 0 |
0.00/0.42	| 0 1 0 0 |
0.00/0.42	| 0 0 0 1 |
0.00/0.42	| 0 0 0 0 |
0.00/0.42	 \       /
0.00/0.42	b is interpreted by
0.00/0.42	 /       \
0.00/0.42	| 1 0 0 0 |
0.00/0.42	| 0 1 0 0 |
0.00/0.42	| 0 0 0 1 |
0.00/0.42	| 0 0 0 0 |
0.00/0.42	 \       /
0.00/0.42	
0.00/0.42	Remains to prove termination of the 3-rule system
0.00/0.42	{ b c a ->= a c b ,
0.00/0.42	  b c b ->= b c b ,
0.00/0.42	  c b a ->= c a a }
0.00/0.42	
0.00/0.42	
0.00/0.42	The system is trivially terminating.
0.00/0.45	EOF