5.28/1.84	YES
5.28/1.84	
5.28/1.84	Problem:
5.28/1.84	 a(a(a(a(x1)))) -> b(b(x1))
5.28/1.84	 b(b(a(a(x1)))) -> a(a(b(b(x1))))
5.28/1.84	 b(b(b(b(c(c(x1)))))) -> c(c(a(a(x1))))
5.28/1.84	 b(b(b(b(x1)))) -> a(a(a(a(a(a(x1))))))
5.28/1.84	 c(c(a(a(x1)))) -> b(b(a(a(c(c(x1))))))
5.28/1.84	
5.28/1.84	Proof:
5.28/1.84	 Matrix Interpretation Processor: dim=1
5.28/1.84	  
5.28/1.84	  interpretation:
5.28/1.84	   [c](x0) = 2x0 + 1,
5.28/1.84	   
5.28/1.84	   [b](x0) = x0 + 4,
5.28/1.84	   
5.28/1.84	   [a](x0) = x0 + 2
5.28/1.84	  orientation:
5.28/1.84	   a(a(a(a(x1)))) = x1 + 8 >= x1 + 8 = b(b(x1))
5.28/1.84	   
5.28/1.84	   b(b(a(a(x1)))) = x1 + 12 >= x1 + 12 = a(a(b(b(x1))))
5.28/1.84	   
5.28/1.84	   b(b(b(b(c(c(x1)))))) = 4x1 + 19 >= 4x1 + 19 = c(c(a(a(x1))))
5.28/1.84	   
5.28/1.84	   b(b(b(b(x1)))) = x1 + 16 >= x1 + 12 = a(a(a(a(a(a(x1))))))
5.28/1.84	   
5.28/1.84	   c(c(a(a(x1)))) = 4x1 + 19 >= 4x1 + 15 = b(b(a(a(c(c(x1))))))
5.28/1.84	  problem:
5.28/1.84	   a(a(a(a(x1)))) -> b(b(x1))
5.28/1.84	   b(b(a(a(x1)))) -> a(a(b(b(x1))))
5.28/1.84	   b(b(b(b(c(c(x1)))))) -> c(c(a(a(x1))))
5.28/1.84	  KBO Processor:
5.28/1.84	   weight function:
5.28/1.84	    w0 = 1
5.28/1.84	    w(c) = w(b) = w(a) = 1
5.28/1.84	   precedence:
5.28/1.84	    b > c ~ a
5.28/1.84	   problem:
5.28/1.84	    
5.28/1.84	   Qed
5.28/1.84	EOF