2.50/1.12	YES
2.50/1.12	
2.50/1.12	Problem:
2.50/1.12	 a(b(a(x1))) -> a(b(b(a(x1))))
2.50/1.12	 b(b(b(x1))) -> b(b(x1))
2.50/1.12	
2.50/1.12	Proof:
2.50/1.12	 Matrix Interpretation Processor: dim=3
2.50/1.12	  
2.50/1.12	  interpretation:
2.50/1.12	             [1 1 0]     [0]
2.50/1.12	   [b](x0) = [0 0 1]x0 + [0]
2.50/1.12	             [0 0 0]     [1],
2.50/1.12	   
2.50/1.12	             [1 0 1]  
2.50/1.12	   [a](x0) = [0 0 1]x0
2.50/1.12	             [0 0 0]  
2.50/1.12	  orientation:
2.50/1.12	                 [1 0 2]     [1]    [1 0 2]     [1]                 
2.50/1.12	   a(b(a(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = a(b(b(a(x1))))
2.50/1.12	                 [0 0 0]     [0]    [0 0 0]     [0]                 
2.50/1.12	   
2.50/1.12	                 [1 1 1]     [1]    [1 1 1]     [0]           
2.50/1.12	   b(b(b(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(b(x1))
2.50/1.12	                 [0 0 0]     [1]    [0 0 0]     [1]           
2.50/1.12	  problem:
2.50/1.12	   a(b(a(x1))) -> a(b(b(a(x1))))
2.50/1.12	  Bounds Processor:
2.50/1.12	   bound: 1
2.50/1.12	   enrichment: match
2.50/1.12	   automaton:
2.50/1.12	    final states: {3}
2.50/1.12	    transitions:
2.50/1.12	     a1(12) -> 13*
2.50/1.12	     a1(9) -> 10*
2.50/1.12	     b1(10) -> 11*
2.50/1.12	     b1(14) -> 15*
2.50/1.12	     b1(11) -> 12*
2.50/1.12	     a0(3) -> 3*
2.50/1.12	     b0(3) -> 3*
2.50/1.12	     3 -> 9*
2.50/1.12	     13 -> 10,14,3
2.50/1.12	     15 -> 11*
2.50/1.20	   problem:
2.50/1.20	    
2.50/1.20	   Qed
2.50/1.20	EOF