0.00/0.39	YES
0.00/0.41	
0.00/0.41	
0.00/0.41	The system was filtered by the following matrix interpretation
0.00/0.41	of type E_J with J = {1,...,2} and dimension 7:
0.00/0.41	
0.00/0.41	a is interpreted by
0.00/0.41	 /             \
0.00/0.41	| 1 0 1 0 0 0 0 |
0.00/0.41	| 0 1 0 0 0 0 0 |
0.00/0.41	| 0 0 0 1 0 0 0 |
0.00/0.41	| 0 0 0 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 0 0 |
0.00/0.41	| 0 1 1 0 0 0 0 |
0.00/0.41	| 0 0 1 0 0 0 0 |
0.00/0.41	 \             /
0.00/0.41	c is interpreted by
0.00/0.41	 /             \
0.00/0.41	| 1 0 0 0 0 0 0 |
0.00/0.41	| 0 1 0 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 0 0 |
0.00/0.41	| 0 0 0 0 1 0 0 |
0.00/0.41	| 0 0 0 0 0 1 0 |
0.00/0.41	| 0 0 0 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 0 0 |
0.00/0.41	 \             /
0.00/0.41	b is interpreted by
0.00/0.41	 /             \
0.00/0.41	| 1 0 1 0 0 0 0 |
0.00/0.41	| 0 1 0 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 0 1 |
0.00/0.41	| 0 1 0 1 0 1 0 |
0.00/0.41	 \             /
0.00/0.41	
0.00/0.41	Remains to prove termination of the 2-rule system
0.00/0.41	{ a a a a -> a a b b a a ,
0.00/0.41	  b b ->= b b c c }
0.00/0.41	
0.00/0.41	
0.00/0.41	The system was filtered by the following matrix interpretation
0.00/0.41	of type E_J with J = {1,...,2} and dimension 5:
0.00/0.41	
0.00/0.41	a is interpreted by
0.00/0.41	 /         \
0.00/0.41	| 1 0 1 0 0 |
0.00/0.41	| 0 1 0 0 0 |
0.00/0.41	| 0 0 0 1 0 |
0.00/0.41	| 0 0 0 0 1 |
0.00/0.41	| 0 1 0 0 0 |
0.00/0.41	 \         /
0.00/0.41	c is interpreted by
0.00/0.41	 /         \
0.00/0.41	| 1 0 0 0 0 |
0.00/0.41	| 0 1 0 0 0 |
0.00/0.41	| 0 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 |
0.00/0.41	 \         /
0.00/0.41	b is interpreted by
0.00/0.41	 /         \
0.00/0.41	| 1 0 0 0 0 |
0.00/0.41	| 0 1 0 0 0 |
0.00/0.41	| 0 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 |
0.00/0.41	| 0 0 0 0 0 |
0.00/0.41	 \         /
0.00/0.41	
0.00/0.41	Remains to prove termination of the 1-rule system
0.00/0.41	{ b b ->= b b c c }
0.00/0.41	
0.00/0.41	
0.00/0.41	The system is trivially terminating.
0.00/0.43	EOF