0.00/0.34	YES
0.00/0.36	
0.00/0.36	
0.00/0.36	The system was filtered by the following matrix interpretation
0.00/0.36	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.36	
0.00/0.36	a is interpreted by
0.00/0.36	 /   \
0.00/0.36	| 1 1 |
0.00/0.36	| 0 1 |
0.00/0.36	 \   /
0.00/0.36	c is interpreted by
0.00/0.36	 /   \
0.00/0.36	| 1 0 |
0.00/0.36	| 0 1 |
0.00/0.36	 \   /
0.00/0.36	b is interpreted by
0.00/0.36	 /   \
0.00/0.36	| 1 1 |
0.00/0.36	| 0 1 |
0.00/0.36	 \   /
0.00/0.36	
0.00/0.36	Remains to prove termination of the 4-rule system
0.00/0.36	{ a c a -> b a c ,
0.00/0.36	  a b b ->= a b b ,
0.00/0.36	  a b b ->= a b a ,
0.00/0.36	  b c c ->= c b c }
0.00/0.36	
0.00/0.36	
0.00/0.36	The system was filtered by the following matrix interpretation
0.00/0.36	of type E_J with J = {1,...,2} and dimension 6:
0.00/0.36	
0.00/0.36	a is interpreted by
0.00/0.36	 /           \
0.00/0.36	| 1 0 1 0 1 0 |
0.00/0.36	| 0 1 0 0 0 0 |
0.00/0.36	| 0 0 0 0 0 0 |
0.00/0.36	| 0 1 0 1 0 0 |
0.00/0.36	| 0 0 0 0 0 0 |
0.00/0.36	| 0 0 0 0 0 0 |
0.00/0.36	 \           /
0.00/0.36	c is interpreted by
0.00/0.36	 /           \
0.00/0.36	| 1 0 0 0 0 0 |
0.00/0.36	| 0 1 0 0 0 0 |
0.00/0.36	| 0 0 0 1 0 0 |
0.00/0.36	| 0 0 0 0 0 0 |
0.00/0.36	| 0 0 0 0 0 0 |
0.00/0.36	| 0 0 0 0 0 0 |
0.00/0.36	 \           /
0.00/0.36	b is interpreted by
0.00/0.36	 /           \
0.00/0.36	| 1 0 0 0 1 0 |
0.00/0.36	| 0 1 0 0 0 0 |
0.00/0.36	| 0 0 0 0 0 0 |
0.00/0.36	| 0 0 0 0 0 0 |
0.00/0.36	| 0 0 0 0 0 1 |
0.00/0.36	| 0 0 1 0 0 0 |
0.00/0.36	 \           /
0.00/0.36	
0.00/0.36	Remains to prove termination of the 3-rule system
0.00/0.36	{ a b b ->= a b b ,
0.00/0.36	  a b b ->= a b a ,
0.00/0.36	  b c c ->= c b c }
0.00/0.36	
0.00/0.36	
0.00/0.36	The system is trivially terminating.
0.00/0.40	EOF