0.00/0.43	YES
0.00/0.44	
0.00/0.44	
0.00/0.44	The system was filtered by the following matrix interpretation
0.00/0.44	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.44	
0.00/0.44	b is interpreted by
0.00/0.44	 /       \
0.00/0.44	| 1 1 1 1 |
0.00/0.44	| 0 1 0 1 |
0.00/0.44	| 0 0 0 0 |
0.00/0.44	| 0 0 0 0 |
0.00/0.44	 \       /
0.00/0.44	a is interpreted by
0.00/0.44	 /       \
0.00/0.44	| 1 1 0 0 |
0.00/0.44	| 0 1 0 0 |
0.00/0.44	| 0 0 0 0 |
0.00/0.44	| 0 0 0 0 |
0.00/0.44	 \       /
0.00/0.44	c is interpreted by
0.00/0.44	 /       \
0.00/0.44	| 1 1 1 0 |
0.00/0.44	| 0 1 0 0 |
0.00/0.44	| 0 0 0 1 |
0.00/0.44	| 0 2 0 0 |
0.00/0.44	 \       /
0.00/0.44	
0.00/0.44	Remains to prove termination of the 5-rule system
0.00/0.44	{ b b b -> b a b ,
0.00/0.44	  c a b ->= a c c ,
0.00/0.44	  a b c ->= b c c ,
0.00/0.44	  c a c ->= a c a ,
0.00/0.44	  b a c ->= a a a }
0.00/0.44	
0.00/0.44	
0.00/0.44	The system was filtered by the following matrix interpretation
0.00/0.44	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.44	
0.00/0.44	b is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 1 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	a is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	c is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	
0.00/0.44	Remains to prove termination of the 2-rule system
0.00/0.44	{ a b c ->= b c c ,
0.00/0.44	  c a c ->= a c a }
0.00/0.44	
0.00/0.44	
0.00/0.44	The system is trivially terminating.
0.00/0.48	EOF