169.19/43.28	YES
169.19/43.28	
169.19/43.28	Problem:
169.19/43.28	 a(x1) -> x1
169.19/43.28	 b(x1) -> a(x1)
169.19/43.28	 b(a(c(x1))) -> c(c(b(a(b(x1)))))
169.19/43.28	
169.19/43.28	Proof:
169.19/43.28	 String Reversal Processor:
169.19/43.28	  a(x1) -> x1
169.19/43.28	  b(x1) -> a(x1)
169.19/43.28	  c(a(b(x1))) -> b(a(b(c(c(x1)))))
169.19/43.28	  DP Processor:
169.19/43.28	   DPs:
169.19/43.28	    b#(x1) -> a#(x1)
169.19/43.28	    c#(a(b(x1))) -> c#(x1)
169.19/43.28	    c#(a(b(x1))) -> c#(c(x1))
169.19/43.28	    c#(a(b(x1))) -> b#(c(c(x1)))
169.19/43.28	    c#(a(b(x1))) -> a#(b(c(c(x1))))
169.19/43.28	    c#(a(b(x1))) -> b#(a(b(c(c(x1)))))
169.19/43.28	   TRS:
169.19/43.28	    a(x1) -> x1
169.19/43.28	    b(x1) -> a(x1)
169.19/43.28	    c(a(b(x1))) -> b(a(b(c(c(x1)))))
169.19/43.28	   TDG Processor:
169.19/43.28	    DPs:
169.19/43.28	     b#(x1) -> a#(x1)
169.19/43.28	     c#(a(b(x1))) -> c#(x1)
169.19/43.28	     c#(a(b(x1))) -> c#(c(x1))
169.19/43.28	     c#(a(b(x1))) -> b#(c(c(x1)))
169.19/43.28	     c#(a(b(x1))) -> a#(b(c(c(x1))))
169.19/43.28	     c#(a(b(x1))) -> b#(a(b(c(c(x1)))))
169.19/43.28	    TRS:
169.19/43.28	     a(x1) -> x1
169.19/43.28	     b(x1) -> a(x1)
169.19/43.28	     c(a(b(x1))) -> b(a(b(c(c(x1)))))
169.19/43.28	    graph:
169.19/43.28	     c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> b#(a(b(c(c(x1)))))
169.19/43.28	     c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> a#(b(c(c(x1))))
169.19/43.28	     c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> b#(c(c(x1)))
169.19/43.28	     c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> c#(c(x1))
169.19/43.28	     c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> c#(x1)
169.19/43.28	     c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> b#(a(b(c(c(x1)))))
169.19/43.28	     c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> a#(b(c(c(x1))))
169.19/43.28	     c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> b#(c(c(x1)))
169.19/43.28	     c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> c#(c(x1))
169.19/43.28	     c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> c#(x1)
169.19/43.28	     c#(a(b(x1))) -> b#(c(c(x1))) -> b#(x1) -> a#(x1)
169.19/43.28	     c#(a(b(x1))) -> b#(a(b(c(c(x1))))) -> b#(x1) -> a#(x1)
169.19/43.28	    SCC Processor:
169.19/43.28	     #sccs: 1
169.19/43.28	     #rules: 2
169.19/43.28	     #arcs: 12/36
169.19/43.28	     DPs:
169.19/43.28	      c#(a(b(x1))) -> c#(c(x1))
169.19/43.28	      c#(a(b(x1))) -> c#(x1)
169.19/43.28	     TRS:
169.19/43.28	      a(x1) -> x1
169.19/43.28	      b(x1) -> a(x1)
169.19/43.28	      c(a(b(x1))) -> b(a(b(c(c(x1)))))
169.19/43.28	     Arctic Interpretation Processor:
169.19/43.28	      dimension: 2
169.19/43.28	      usable rules:
169.19/43.28	       a(x1) -> x1
169.19/43.28	       b(x1) -> a(x1)
169.19/43.28	       c(a(b(x1))) -> b(a(b(c(c(x1)))))
169.19/43.28	      interpretation:
169.19/43.28	       [c#](x0) = [1 0]x0 + [0],
169.19/43.28	       
169.19/43.28	                 [0 0]     [0 ]
169.19/43.28	       [c](x0) = [0 0]x0 + [-&],
169.19/43.28	       
169.19/43.28	                 [0 0]     [3]
169.19/43.29	       [b](x0) = [3 0]x0 + [0],
169.19/43.29	       
169.19/43.29	                 [0  -&]     [-&]
169.19/43.29	       [a](x0) = [3  0 ]x0 + [0 ]
169.19/43.29	      orientation:
169.19/43.29	       c#(a(b(x1))) = [3 3]x1 + [6] >= [1 1]x1 + [1] = c#(c(x1))
169.19/43.29	       
169.19/43.29	       c#(a(b(x1))) = [3 3]x1 + [6] >= [1 0]x1 + [0] = c#(x1)
169.19/43.29	       
169.19/43.29	               [0  -&]     [-&]           
169.19/43.29	       a(x1) = [3  0 ]x1 + [0 ] >= x1 = x1
169.19/43.29	       
169.19/43.29	               [0 0]     [3]    [0  -&]     [-&]        
169.19/43.29	       b(x1) = [3 0]x1 + [0] >= [3  0 ]x1 + [0 ] = a(x1)
169.19/43.29	       
169.19/43.29	                     [3 3]     [6]    [3 3]     [6]                    
169.19/43.29	       c(a(b(x1))) = [3 3]x1 + [6] >= [3 3]x1 + [6] = b(a(b(c(c(x1)))))
169.19/43.29	      problem:
169.19/43.29	       DPs:
169.19/43.29	        
169.19/43.29	       TRS:
169.19/43.29	        a(x1) -> x1
169.19/43.29	        b(x1) -> a(x1)
169.19/43.29	        c(a(b(x1))) -> b(a(b(c(c(x1)))))
169.19/43.29	      Qed
169.19/43.29	EOF