5.32/1.84	YES
5.32/1.84	
5.32/1.84	Problem:
5.32/1.84	 a(a(b(x1))) -> b(b(a(a(x1))))
5.32/1.84	 b(a(b(a(x1)))) -> a(a(a(b(x1))))
5.32/1.84	
5.32/1.84	Proof:
5.32/1.84	 Matrix Interpretation Processor: dim=4
5.32/1.84	  
5.32/1.84	  interpretation:
5.32/1.84	             [1 0 0 0]     [0]
5.32/1.84	             [0 0 0 1]     [0]
5.32/1.84	   [a](x0) = [0 1 0 0]x0 + [1]
5.32/1.84	             [0 0 0 0]     [0],
5.32/1.84	   
5.32/1.84	             [1 1 0 0]  
5.32/1.84	             [0 0 0 0]  
5.32/1.84	   [b](x0) = [0 1 0 0]x0
5.32/1.84	             [0 0 1 0]  
5.32/1.84	  orientation:
5.32/1.84	                 [1 1 0 0]     [0]    [1 0 0 0]                   
5.32/1.84	                 [0 0 0 0]     [0]    [0 0 0 0]                   
5.32/1.84	   a(a(b(x1))) = [0 0 1 0]x1 + [1] >= [0 0 0 0]x1 = b(b(a(a(x1))))
5.32/1.84	                 [0 0 0 0]     [0]    [0 0 0 0]                   
5.32/1.84	   
5.32/1.84	                    [1 1 0 1]     [1]    [1 1 0 0]     [0]                 
5.32/1.84	                    [0 0 0 0]     [0]    [0 0 0 0]     [0]                 
5.32/1.84	   b(a(b(a(x1)))) = [0 1 0 0]x1 + [1] >= [0 0 0 0]x1 + [1] = a(a(a(b(x1))))
5.32/1.84	                    [0 0 0 0]     [1]    [0 0 0 0]     [0]                 
5.32/1.84	  problem:
5.32/1.84	   a(a(b(x1))) -> b(b(a(a(x1))))
5.32/1.84	  Bounds Processor:
5.32/1.84	   bound: 0
5.32/1.84	   enrichment: match
5.32/1.84	   automaton:
5.32/1.84	    final states: {1}
5.32/1.84	    transitions:
5.32/1.84	     f20() -> 2*
5.32/1.84	     b0(5) -> 1*
5.32/1.84	     b0(4) -> 5*
5.32/1.84	     a0(2) -> 3*
5.32/1.84	     a0(3) -> 4*
5.32/1.84	     1 -> 3,4
5.32/1.84	   problem:
5.32/1.84	    
5.32/1.84	   Qed
5.32/1.85	EOF