0.00/0.36	YES
0.00/0.37	
0.00/0.37	
0.00/0.37	The system was filtered by the following matrix interpretation
0.00/0.37	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.37	
0.00/0.37	a is interpreted by
0.00/0.37	 /       \
0.00/0.37	| 1 0 1 0 |
0.00/0.37	| 0 1 0 0 |
0.00/0.37	| 0 0 0 0 |
0.00/0.37	| 0 0 1 0 |
0.00/0.37	 \       /
0.00/0.37	c is interpreted by
0.00/0.37	 /       \
0.00/0.37	| 1 0 0 0 |
0.00/0.37	| 0 1 0 0 |
0.00/0.37	| 0 0 0 1 |
0.00/0.37	| 0 0 0 0 |
0.00/0.37	 \       /
0.00/0.37	b is interpreted by
0.00/0.37	 /       \
0.00/0.37	| 1 0 0 0 |
0.00/0.37	| 0 1 0 0 |
0.00/0.37	| 0 0 0 0 |
0.00/0.37	| 0 1 1 1 |
0.00/0.37	 \       /
0.00/0.37	
0.00/0.37	Remains to prove termination of the 2-rule system
0.00/0.37	{ a a -> a b a ,
0.00/0.37	  b ->= b c }
0.00/0.37	
0.00/0.37	
0.00/0.37	The system was filtered by the following matrix interpretation
0.00/0.37	of type E_J with J = {1,...,2} and dimension 3:
0.00/0.37	
0.00/0.37	a is interpreted by
0.00/0.37	 /     \
0.00/0.37	| 1 0 1 |
0.00/0.37	| 0 1 0 |
0.00/0.37	| 0 1 0 |
0.00/0.37	 \     /
0.00/0.37	c is interpreted by
0.00/0.37	 /     \
0.00/0.37	| 1 0 0 |
0.00/0.37	| 0 1 0 |
0.00/0.37	| 0 0 0 |
0.00/0.37	 \     /
0.00/0.37	b is interpreted by
0.00/0.37	 /     \
0.00/0.37	| 1 0 0 |
0.00/0.37	| 0 1 0 |
0.00/0.37	| 0 0 0 |
0.00/0.37	 \     /
0.00/0.37	
0.00/0.37	Remains to prove termination of the 1-rule system
0.00/0.37	{ b ->= b c }
0.00/0.37	
0.00/0.37	
0.00/0.37	The system is trivially terminating.
0.00/0.40	EOF