4.20/1.40	YES
4.20/1.40	
4.20/1.40	Problem:
4.20/1.40	 a(a(b(x1))) -> b(a(b(c(a(x1)))))
4.20/1.40	 b(a(x1)) -> a(b(b(x1)))
4.20/1.40	 b(c(a(x1))) -> c(a(b(x1)))
4.20/1.40	
4.20/1.40	Proof:
4.20/1.40	 Matrix Interpretation Processor: dim=2
4.20/1.40	  
4.20/1.40	  interpretation:
4.20/1.40	             [1 1]  
4.20/1.40	   [c](x0) = [0 0]x0,
4.20/1.40	   
4.20/1.40	             [2 3]     [1]
4.20/1.40	   [a](x0) = [0 0]x0 + [1],
4.20/1.40	   
4.20/1.40	               
4.20/1.40	   [b](x0) = x0
4.20/1.40	  orientation:
4.20/1.40	                 [4 6]     [6]    [4 6]     [5]                    
4.20/1.40	   a(a(b(x1))) = [0 0]x1 + [1] >= [0 0]x1 + [1] = b(a(b(c(a(x1)))))
4.20/1.40	   
4.20/1.40	              [2 3]     [1]    [2 3]     [1]              
4.20/1.40	   b(a(x1)) = [0 0]x1 + [1] >= [0 0]x1 + [1] = a(b(b(x1)))
4.20/1.40	   
4.20/1.40	                 [2 3]     [2]    [2 3]     [2]              
4.20/1.40	   b(c(a(x1))) = [0 0]x1 + [0] >= [0 0]x1 + [0] = c(a(b(x1)))
4.20/1.40	  problem:
4.20/1.40	   b(a(x1)) -> a(b(b(x1)))
4.20/1.40	   b(c(a(x1))) -> c(a(b(x1)))
4.20/1.40	  KBO Processor:
4.20/1.40	   weight function:
4.20/1.40	    w0 = 1
4.20/1.40	    w(c) = w(a) = 1
4.20/1.40	    w(b) = 0
4.20/1.40	   precedence:
4.20/1.40	    b > c ~ a
4.20/1.40	   problem:
4.20/1.40	    
4.20/1.40	   Qed
4.20/1.41	EOF