0.00/0.31	YES
0.00/0.31	
0.00/0.31	
0.00/0.31	
0.00/0.31	
0.00/0.31	The system was filtered by the following matrix interpretation
0.00/0.31	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.31	
0.00/0.31	b is interpreted by
0.00/0.31	 /   \
0.00/0.31	| 1 0 |
0.00/0.31	| 0 1 |
0.00/0.31	 \   /
0.00/0.31	a is interpreted by
0.00/0.31	 /   \
0.00/0.31	| 1 1 |
0.00/0.31	| 0 1 |
0.00/0.31	 \   /
0.00/0.31	c is interpreted by
0.00/0.31	 /   \
0.00/0.31	| 1 1 |
0.00/0.31	| 0 1 |
0.00/0.31	 \   /
0.00/0.31	
0.00/0.31	Remains to prove termination of the 4-rule system
0.00/0.31	{ a a a -> a c c ,
0.00/0.31	  a c b -> a a b ,
0.00/0.31	  c a c -> c c c ,
0.00/0.31	  c a a ->= c a a }
0.00/0.31	
0.00/0.31	
0.00/0.31	The system was filtered by the following matrix interpretation
0.00/0.31	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.31	
0.00/0.31	b is interpreted by
0.00/0.31	 /       \
0.00/0.31	| 1 0 0 0 |
0.00/0.31	| 0 1 0 0 |
0.00/0.31	| 0 0 0 0 |
0.00/0.31	| 0 1 0 0 |
0.00/0.31	 \       /
0.00/0.31	a is interpreted by
0.00/0.31	 /       \
0.00/0.31	| 1 0 1 0 |
0.00/0.31	| 0 1 0 0 |
0.00/0.31	| 0 0 0 0 |
0.00/0.31	| 0 0 0 0 |
0.00/0.31	 \       /
0.00/0.31	c is interpreted by
0.00/0.31	 /       \
0.00/0.31	| 1 0 0 0 |
0.00/0.31	| 0 1 0 0 |
0.00/0.31	| 0 0 0 1 |
0.00/0.31	| 0 0 0 0 |
0.00/0.31	 \       /
0.00/0.31	
0.00/0.31	Remains to prove termination of the 3-rule system
0.00/0.31	{ a a a -> a c c ,
0.00/0.31	  c a c -> c c c ,
0.00/0.31	  c a a ->= c a a }
0.00/0.31	
0.00/0.31	
0.00/0.31	The system was filtered by the following matrix interpretation
0.00/0.31	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.31	
0.00/0.31	b is interpreted by
0.00/0.31	 /   \
0.00/0.31	| 1 0 |
0.00/0.31	| 0 1 |
0.00/0.31	 \   /
0.00/0.31	a is interpreted by
0.00/0.31	 /   \
0.00/0.31	| 1 1 |
0.00/0.31	| 0 1 |
0.00/0.31	 \   /
0.00/0.31	c is interpreted by
0.00/0.31	 /   \
0.00/0.31	| 1 0 |
0.00/0.31	| 0 1 |
0.00/0.31	 \   /
0.00/0.31	
0.00/0.31	Remains to prove termination of the 1-rule system
0.00/0.31	{ c a a ->= c a a }
0.00/0.31	
0.00/0.31	
0.00/0.31	The system is trivially terminating.
0.00/0.34	EOF