26.80/7.12	YES
26.80/7.13	
26.80/7.13	
26.80/7.13	The system was filtered by the following matrix interpretation
26.80/7.13	of type E_J with J = {1,...,2} and dimension 4:
26.80/7.13	
26.80/7.13	a is interpreted by
26.80/7.13	 /       \
26.80/7.13	| 1 0 0 0 |
26.80/7.13	| 0 2 0 0 |
26.80/7.13	| 0 0 0 0 |
26.80/7.13	| 0 2 0 0 |
26.80/7.13	 \       /
26.80/7.13	b is interpreted by
26.80/7.13	 /       \
26.80/7.13	| 1 0 1 0 |
26.80/7.13	| 0 2 0 0 |
26.80/7.13	| 0 1 0 1 |
26.80/7.13	| 0 2 0 0 |
26.80/7.13	 \       /
26.80/7.13	c is interpreted by
26.80/7.13	 /       \
26.80/7.13	| 1 0 0 0 |
26.80/7.13	| 0 2 0 0 |
26.80/7.13	| 0 0 0 0 |
26.80/7.13	| 0 1 1 0 |
26.80/7.13	 \       /
26.80/7.13	
26.80/7.13	Remains to prove termination of the 6-rule system
26.80/7.13	{ a b c -> c c c ,
26.80/7.13	  b a b -> c a a ,
26.80/7.13	  b c a ->= a a c ,
26.80/7.13	  a c c ->= c b a ,
26.80/7.13	  b a b ->= b c c ,
26.80/7.13	  c a a ->= c a a }
26.80/7.13	
26.80/7.13	
26.80/7.13	The system was filtered by the following matrix interpretation
26.80/7.13	of type E_J with J = {1,...,2} and dimension 4:
26.80/7.13	
26.80/7.13	a is interpreted by
26.80/7.13	 /       \
26.80/7.13	| 1 0 0 0 |
26.80/7.13	| 0 1 0 0 |
26.80/7.13	| 0 0 0 0 |
26.80/7.13	| 0 1 0 0 |
26.80/7.13	 \       /
26.80/7.13	b is interpreted by
26.80/7.13	 /       \
26.80/7.13	| 1 0 1 0 |
26.80/7.13	| 0 1 0 0 |
26.80/7.13	| 0 1 0 0 |
26.80/7.13	| 0 0 1 0 |
26.80/7.13	 \       /
26.80/7.13	c is interpreted by
26.80/7.13	 /       \
26.80/7.13	| 1 0 0 0 |
26.80/7.13	| 0 1 0 0 |
26.80/7.13	| 0 0 0 1 |
26.80/7.13	| 0 0 0 0 |
26.80/7.13	 \       /
26.80/7.13	
26.80/7.13	Remains to prove termination of the 5-rule system
26.80/7.13	{ a b c -> c c c ,
26.80/7.13	  b a b -> c a a ,
26.80/7.13	  a c c ->= c b a ,
26.80/7.13	  b a b ->= b c c ,
26.80/7.13	  c a a ->= c a a }
26.80/7.13	
26.80/7.13	
26.80/7.13	The system was filtered by the following matrix interpretation
26.80/7.13	of type E_J with J = {1,...,2} and dimension 4:
26.80/7.13	
26.80/7.13	a is interpreted by
26.80/7.13	 /       \
26.80/7.13	| 2 0 0 0 |
26.80/7.13	| 0 1 0 0 |
26.80/7.13	| 0 0 0 1 |
26.80/7.13	| 0 0 0 1 |
26.80/7.13	 \       /
26.80/7.13	b is interpreted by
26.80/7.13	 /       \
26.80/7.13	| 2 1 1 1 |
26.80/7.13	| 0 1 0 0 |
26.80/7.13	| 0 0 0 0 |
26.80/7.13	| 0 2 0 0 |
26.80/7.13	 \       /
26.80/7.13	c is interpreted by
26.80/7.13	 /       \
26.80/7.13	| 2 0 0 1 |
26.80/7.13	| 0 1 0 0 |
26.80/7.13	| 0 0 0 0 |
26.80/7.13	| 0 2 0 0 |
26.80/7.13	 \       /
26.80/7.13	
26.80/7.13	Remains to prove termination of the 3-rule system
26.80/7.13	{ a b c -> c c c ,
26.80/7.13	  a c c ->= c b a ,
26.80/7.13	  c a a ->= c a a }
26.80/7.13	
26.80/7.13	
26.80/7.13	The system was filtered by the following matrix interpretation
26.80/7.13	of type E_J with J = {1,...,2} and dimension 2:
26.80/7.13	
26.80/7.13	a is interpreted by
26.80/7.13	 /   \
26.80/7.13	| 1 1 |
26.80/7.13	| 0 1 |
26.80/7.13	 \   /
26.80/7.13	b is interpreted by
26.80/7.13	 /   \
26.80/7.13	| 1 0 |
26.80/7.13	| 0 1 |
26.80/7.13	 \   /
26.80/7.13	c is interpreted by
26.80/7.13	 /   \
26.80/7.13	| 1 0 |
26.80/7.13	| 0 1 |
26.80/7.13	 \   /
26.80/7.13	
26.80/7.13	Remains to prove termination of the 2-rule system
26.80/7.13	{ a c c ->= c b a ,
26.80/7.13	  c a a ->= c a a }
26.80/7.13	
26.80/7.13	
26.80/7.13	The system is trivially terminating.
26.88/7.17	EOF