0.00/0.43	YES
0.00/0.45	
0.00/0.45	
0.00/0.45	The system was filtered by the following matrix interpretation
0.00/0.45	of type E_J with J = {1,...,2} and dimension 6:
0.00/0.45	
0.00/0.45	a is interpreted by
0.00/0.45	 /           \
0.00/0.45	| 1 0 1 0 0 0 |
0.00/0.45	| 0 1 0 0 0 0 |
0.00/0.45	| 0 0 0 0 0 0 |
0.00/0.45	| 0 1 0 0 0 0 |
0.00/0.45	| 0 0 1 0 0 0 |
0.00/0.45	| 0 1 0 0 0 0 |
0.00/0.45	 \           /
0.00/0.45	b is interpreted by
0.00/0.45	 /           \
0.00/0.45	| 1 0 1 0 0 0 |
0.00/0.45	| 0 1 0 0 0 0 |
0.00/0.45	| 0 0 0 0 0 0 |
0.00/0.45	| 0 0 0 0 1 0 |
0.00/0.45	| 0 0 0 0 0 0 |
0.00/0.45	| 0 1 0 0 0 0 |
0.00/0.45	 \           /
0.00/0.45	c is interpreted by
0.00/0.45	 /           \
0.00/0.45	| 1 0 0 0 0 0 |
0.00/0.45	| 0 1 0 0 0 0 |
0.00/0.45	| 0 0 0 1 0 0 |
0.00/0.45	| 0 0 0 0 0 0 |
0.00/0.45	| 0 0 0 0 0 1 |
0.00/0.45	| 0 0 0 1 0 0 |
0.00/0.45	 \           /
0.00/0.45	
0.00/0.45	Remains to prove termination of the 4-rule system
0.00/0.45	{ a a b -> c c c ,
0.00/0.45	  b a c ->= b b c ,
0.00/0.45	  b c b ->= a b b ,
0.00/0.45	  c a b ->= b b a }
0.00/0.45	
0.00/0.45	
0.00/0.45	The system was filtered by the following matrix interpretation
0.00/0.45	of type E_J with J = {1,...,2} and dimension 6:
0.00/0.45	
0.00/0.45	a is interpreted by
0.00/0.45	 /           \
0.00/0.45	| 1 0 0 0 0 0 |
0.00/0.45	| 0 1 0 0 0 0 |
0.00/0.45	| 0 0 1 0 0 0 |
0.00/0.45	| 0 0 0 0 0 0 |
0.00/0.45	| 0 0 0 0 0 1 |
0.00/0.45	| 0 0 0 0 0 0 |
0.00/0.45	 \           /
0.00/0.45	b is interpreted by
0.00/0.45	 /           \
0.00/0.45	| 1 0 1 0 0 0 |
0.00/0.45	| 0 1 0 0 0 0 |
0.00/0.45	| 0 0 0 0 0 0 |
0.00/0.45	| 0 1 0 0 0 0 |
0.00/0.45	| 0 0 1 0 0 0 |
0.00/0.45	| 0 1 0 0 0 0 |
0.00/0.45	 \           /
0.00/0.45	c is interpreted by
0.00/0.45	 /           \
0.00/0.45	| 1 0 0 0 0 0 |
0.00/0.45	| 0 1 0 0 0 0 |
0.00/0.45	| 0 0 0 1 0 0 |
0.00/0.45	| 0 0 0 0 1 0 |
0.00/0.45	| 0 0 0 0 0 0 |
0.00/0.45	| 0 0 0 0 1 0 |
0.00/0.45	 \           /
0.00/0.45	
0.00/0.45	Remains to prove termination of the 3-rule system
0.00/0.45	{ a a b -> c c c ,
0.00/0.45	  b a c ->= b b c ,
0.00/0.45	  c a b ->= b b a }
0.00/0.45	
0.00/0.45	
0.00/0.45	The system was filtered by the following matrix interpretation
0.00/0.45	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.45	
0.00/0.45	a is interpreted by
0.00/0.45	 /   \
0.00/0.45	| 1 1 |
0.00/0.45	| 0 1 |
0.00/0.45	 \   /
0.00/0.45	b is interpreted by
0.00/0.45	 /   \
0.00/0.45	| 1 0 |
0.00/0.45	| 0 1 |
0.00/0.45	 \   /
0.00/0.45	c is interpreted by
0.00/0.45	 /   \
0.00/0.45	| 1 0 |
0.00/0.45	| 0 1 |
0.00/0.45	 \   /
0.00/0.45	
0.00/0.45	Remains to prove termination of the 1-rule system
0.00/0.45	{ c a b ->= b b a }
0.00/0.45	
0.00/0.45	
0.00/0.45	The system is trivially terminating.
0.00/0.47	EOF