0.00/0.32	YES
0.00/0.34	
0.00/0.34	
0.00/0.34	The system was filtered by the following matrix interpretation
0.00/0.34	of type E_J with J = {1,...,2} and dimension 7:
0.00/0.34	
0.00/0.34	a is interpreted by
0.00/0.34	 /             \
0.00/0.34	| 1 0 1 0 0 0 0 |
0.00/0.34	| 0 1 0 0 0 0 0 |
0.00/0.34	| 0 0 0 1 0 0 0 |
0.00/0.34	| 0 0 0 0 0 0 0 |
0.00/0.34	| 0 0 0 0 0 0 0 |
0.00/0.34	| 0 0 0 0 0 0 1 |
0.00/0.34	| 0 1 0 0 0 0 0 |
0.00/0.34	 \             /
0.00/0.34	b is interpreted by
0.00/0.34	 /             \
0.00/0.34	| 1 0 0 0 0 0 0 |
0.00/0.34	| 0 1 0 0 0 0 0 |
0.00/0.34	| 0 0 0 0 0 0 0 |
0.00/0.34	| 0 0 0 0 1 0 0 |
0.00/0.34	| 0 0 0 0 0 1 0 |
0.00/0.34	| 0 0 0 0 0 0 0 |
0.00/0.34	| 0 0 0 0 0 0 0 |
0.00/0.34	 \             /
0.00/0.34	
0.00/0.34	Remains to prove termination of the 3-rule system
0.00/0.34	{ b b a a b b -> b b a a a a b b ,
0.00/0.34	  a a ->= a a a a a a ,
0.00/0.34	  b b ->= b b b b b b }
0.00/0.34	
0.00/0.34	
0.00/0.34	The system was filtered by the following matrix interpretation
0.00/0.34	of type E_J with J = {1,...,2} and dimension 7:
0.00/0.34	
0.00/0.34	a is interpreted by
0.00/0.34	 /             \
0.00/0.34	| 1 0 0 0 0 0 0 |
0.00/0.34	| 0 1 0 0 0 0 0 |
0.00/0.34	| 0 0 0 0 0 0 0 |
0.00/0.34	| 0 0 0 0 1 0 0 |
0.00/0.34	| 0 0 0 0 0 1 0 |
0.00/0.34	| 0 0 0 0 0 0 0 |
0.00/0.34	| 0 0 0 0 0 0 0 |
0.00/0.34	 \             /
0.00/0.34	b is interpreted by
0.00/0.34	 /             \
0.00/0.34	| 1 0 1 0 0 0 0 |
0.00/0.34	| 0 1 0 0 0 0 0 |
0.00/0.34	| 0 0 0 1 0 0 0 |
0.00/0.34	| 0 0 0 0 0 0 0 |
0.00/0.34	| 0 0 0 0 0 0 0 |
0.00/0.34	| 0 0 0 0 0 0 1 |
0.00/0.34	| 0 1 0 0 0 0 0 |
0.00/0.34	 \             /
0.00/0.34	
0.00/0.34	Remains to prove termination of the 2-rule system
0.00/0.34	{ a a ->= a a a a a a ,
0.00/0.34	  b b ->= b b b b b b }
0.00/0.34	
0.00/0.34	
0.00/0.34	The system is trivially terminating.
0.00/0.38	EOF