0.00/0.58	YES
0.00/0.59	
0.00/0.59	
0.00/0.59	The system was inverted.
0.00/0.59	
0.00/0.59	Remains to prove termination of the 5-rule system
0.00/0.59	{ a c a -> b a c ,
0.00/0.59	  a c c -> a b b ,
0.00/0.59	  c a a -> a a a ,
0.00/0.59	  b c c -> a c a ,
0.00/0.59	  b a a -> b c b }
0.00/0.59	
0.00/0.59	
0.00/0.59	
0.00/0.59	
0.00/0.59	The system was filtered by the following matrix interpretation
0.00/0.59	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.59	
0.00/0.59	b is interpreted by
0.00/0.59	 /   \
0.00/0.59	| 1 3 |
0.00/0.59	| 0 1 |
0.00/0.59	 \   /
0.00/0.59	a is interpreted by
0.00/0.59	 /   \
0.00/0.59	| 1 2 |
0.00/0.59	| 0 1 |
0.00/0.59	 \   /
0.00/0.59	c is interpreted by
0.00/0.59	 /   \
0.00/0.59	| 1 1 |
0.00/0.59	| 0 1 |
0.00/0.59	 \   /
0.00/0.59	
0.00/0.59	Remains to prove termination of the 2-rule system
0.00/0.59	{ a c a -> b c c ,
0.00/0.59	  b c b -> b a a }
0.00/0.59	
0.00/0.59	
0.00/0.59	The system was filtered by the following matrix interpretation
0.00/0.59	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.59	
0.00/0.59	b is interpreted by
0.00/0.59	 /       \
0.00/0.59	| 1 0 1 0 |
0.00/0.59	| 0 1 0 0 |
0.00/0.59	| 0 0 0 0 |
0.00/0.59	| 0 0 0 0 |
0.00/0.59	 \       /
0.00/0.59	a is interpreted by
0.00/0.59	 /       \
0.00/0.59	| 1 0 1 0 |
0.00/0.59	| 0 1 0 0 |
0.00/0.59	| 0 0 0 0 |
0.00/0.59	| 0 1 0 0 |
0.00/0.59	 \       /
0.00/0.59	c is interpreted by
0.00/0.59	 /       \
0.00/0.59	| 1 0 0 0 |
0.00/0.59	| 0 1 0 0 |
0.00/0.59	| 0 0 0 1 |
0.00/0.59	| 0 0 0 0 |
0.00/0.59	 \       /
0.00/0.59	
0.00/0.59	Remains to prove termination of the 1-rule system
0.00/0.59	{ b c b -> b a a }
0.00/0.59	
0.00/0.59	
0.00/0.59	The system was filtered by the following matrix interpretation
0.00/0.59	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.59	
0.00/0.59	b is interpreted by
0.00/0.59	 /   \
0.00/0.59	| 1 1 |
0.00/0.59	| 0 1 |
0.00/0.59	 \   /
0.00/0.59	a is interpreted by
0.00/0.59	 /   \
0.00/0.59	| 1 0 |
0.00/0.59	| 0 1 |
0.00/0.59	 \   /
0.00/0.59	c is interpreted by
0.00/0.59	 /   \
0.00/0.59	| 1 0 |
0.00/0.59	| 0 1 |
0.00/0.59	 \   /
0.00/0.59	
0.00/0.59	Remains to prove termination of the 0-rule system
0.00/0.59	{ }
0.00/0.59	
0.00/0.59	
0.00/0.59	The system is trivially terminating.
0.00/0.62	EOF