0.00/0.28	YES
0.00/0.29	
0.00/0.29	
0.00/0.29	The system was filtered by the following matrix interpretation
0.00/0.29	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.29	
0.00/0.29	b is interpreted by
0.00/0.29	 /       \
0.00/0.29	| 1 0 0 0 |
0.00/0.29	| 0 1 0 0 |
0.00/0.29	| 0 0 0 0 |
0.00/0.29	| 0 1 0 0 |
0.00/0.29	 \       /
0.00/0.29	c is interpreted by
0.00/0.29	 /       \
0.00/0.29	| 1 0 1 0 |
0.00/0.29	| 0 1 0 0 |
0.00/0.29	| 0 0 0 0 |
0.00/0.29	| 0 0 0 0 |
0.00/0.29	 \       /
0.00/0.29	a is interpreted by
0.00/0.29	 /       \
0.00/0.29	| 1 0 0 0 |
0.00/0.29	| 0 1 0 0 |
0.00/0.29	| 0 0 0 1 |
0.00/0.29	| 0 1 0 0 |
0.00/0.29	 \       /
0.00/0.29	
0.00/0.29	Remains to prove termination of the 5-rule system
0.00/0.29	{ b c c -> a c b ,
0.00/0.29	  a b a -> c b a ,
0.00/0.29	  a b c ->= a a c ,
0.00/0.29	  c a a ->= c a b ,
0.00/0.29	  a b c ->= c c c }
0.00/0.29	
0.00/0.29	
0.00/0.29	The system was filtered by the following matrix interpretation
0.00/0.29	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.29	
0.00/0.29	b is interpreted by
0.00/0.29	 /       \
0.00/0.29	| 1 0 0 0 |
0.00/0.29	| 0 1 0 0 |
0.00/0.29	| 0 0 0 1 |
0.00/0.29	| 0 1 0 0 |
0.00/0.29	 \       /
0.00/0.29	c is interpreted by
0.00/0.29	 /       \
0.00/0.29	| 1 0 0 0 |
0.00/0.29	| 0 1 0 0 |
0.00/0.29	| 0 0 0 0 |
0.00/0.29	| 0 0 0 0 |
0.00/0.29	 \       /
0.00/0.29	a is interpreted by
0.00/0.29	 /       \
0.00/0.29	| 1 0 1 1 |
0.00/0.29	| 0 1 0 0 |
0.00/0.29	| 0 0 0 0 |
0.00/0.29	| 0 1 0 0 |
0.00/0.29	 \       /
0.00/0.29	
0.00/0.29	Remains to prove termination of the 3-rule system
0.00/0.29	{ b c c -> a c b ,
0.00/0.29	  a b c ->= a a c ,
0.00/0.29	  c a a ->= c a b }
0.00/0.29	
0.00/0.29	
0.00/0.29	The system was filtered by the following matrix interpretation
0.00/0.29	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.29	
0.00/0.29	b is interpreted by
0.00/0.29	 /   \
0.00/0.29	| 1 0 |
0.00/0.29	| 0 1 |
0.00/0.29	 \   /
0.00/0.29	c is interpreted by
0.00/0.29	 /   \
0.00/0.29	| 1 1 |
0.00/0.29	| 0 1 |
0.00/0.29	 \   /
0.00/0.29	a is interpreted by
0.00/0.29	 /   \
0.00/0.29	| 1 0 |
0.00/0.29	| 0 1 |
0.00/0.29	 \   /
0.00/0.29	
0.00/0.29	Remains to prove termination of the 2-rule system
0.00/0.29	{ a b c ->= a a c ,
0.00/0.29	  c a a ->= c a b }
0.00/0.29	
0.00/0.29	
0.00/0.29	The system is trivially terminating.
0.00/0.32	EOF