166.27/42.52	YES
166.56/42.53	
166.56/42.53	Problem:
166.56/42.53	 a(b(x1)) -> x1
166.56/42.53	 a(c(x1)) -> a(b(b(c(c(a(x1))))))
166.56/42.53	 b(c(x1)) -> x1
166.56/42.53	
166.56/42.53	Proof:
166.56/42.53	 String Reversal Processor:
166.56/42.53	  b(a(x1)) -> x1
166.56/42.53	  c(a(x1)) -> a(c(c(b(b(a(x1))))))
166.56/42.53	  c(b(x1)) -> x1
166.56/42.53	  DP Processor:
166.56/42.53	   DPs:
166.56/42.53	    c#(a(x1)) -> b#(a(x1))
166.56/42.53	    c#(a(x1)) -> b#(b(a(x1)))
166.56/42.53	    c#(a(x1)) -> c#(b(b(a(x1))))
166.56/42.53	    c#(a(x1)) -> c#(c(b(b(a(x1)))))
166.56/42.53	   TRS:
166.56/42.53	    b(a(x1)) -> x1
166.56/42.53	    c(a(x1)) -> a(c(c(b(b(a(x1))))))
166.56/42.53	    c(b(x1)) -> x1
166.56/42.53	   TDG Processor:
166.56/42.53	    DPs:
166.56/42.53	     c#(a(x1)) -> b#(a(x1))
166.56/42.53	     c#(a(x1)) -> b#(b(a(x1)))
166.56/42.53	     c#(a(x1)) -> c#(b(b(a(x1))))
166.56/42.53	     c#(a(x1)) -> c#(c(b(b(a(x1)))))
166.56/42.53	    TRS:
166.56/42.53	     b(a(x1)) -> x1
166.56/42.53	     c(a(x1)) -> a(c(c(b(b(a(x1))))))
166.56/42.53	     c(b(x1)) -> x1
166.56/42.53	    graph:
166.56/42.53	     c#(a(x1)) -> c#(c(b(b(a(x1))))) ->
166.56/42.53	     c#(a(x1)) -> c#(c(b(b(a(x1)))))
166.56/42.53	     c#(a(x1)) -> c#(c(b(b(a(x1))))) -> c#(a(x1)) -> c#(b(b(a(x1))))
166.56/42.53	     c#(a(x1)) -> c#(c(b(b(a(x1))))) -> c#(a(x1)) -> b#(b(a(x1)))
166.56/42.53	     c#(a(x1)) -> c#(c(b(b(a(x1))))) -> c#(a(x1)) -> b#(a(x1))
166.56/42.53	     c#(a(x1)) -> c#(b(b(a(x1)))) -> c#(a(x1)) -> c#(c(b(b(a(x1)))))
166.56/42.53	     c#(a(x1)) -> c#(b(b(a(x1)))) -> c#(a(x1)) -> c#(b(b(a(x1))))
166.56/42.53	     c#(a(x1)) -> c#(b(b(a(x1)))) -> c#(a(x1)) -> b#(b(a(x1)))
166.56/42.53	     c#(a(x1)) -> c#(b(b(a(x1)))) -> c#(a(x1)) -> b#(a(x1))
166.56/42.53	    SCC Processor:
166.56/42.53	     #sccs: 1
166.56/42.53	     #rules: 2
166.56/42.53	     #arcs: 8/16
166.56/42.53	     DPs:
166.56/42.53	      c#(a(x1)) -> c#(c(b(b(a(x1)))))
166.56/42.53	      c#(a(x1)) -> c#(b(b(a(x1))))
166.56/42.53	     TRS:
166.56/42.53	      b(a(x1)) -> x1
166.56/42.53	      c(a(x1)) -> a(c(c(b(b(a(x1))))))
166.56/42.53	      c(b(x1)) -> x1
166.56/42.53	     Arctic Interpretation Processor:
166.56/42.53	      dimension: 1
166.56/42.53	      usable rules:
166.56/42.53	       b(a(x1)) -> x1
166.56/42.53	       c(a(x1)) -> a(c(c(b(b(a(x1))))))
166.56/42.53	       c(b(x1)) -> x1
166.56/42.53	      interpretation:
166.56/42.53	       [c#](x0) = x0 + 0,
166.56/42.53	       
166.56/42.53	       [c](x0) = 1x0 + 0,
166.56/42.53	       
166.56/42.53	       [a](x0) = 1x0 + 3,
166.56/42.53	       
166.56/42.53	       [b](x0) = -1x0 + 0
166.56/42.53	      orientation:
166.56/42.53	       c#(a(x1)) = 1x1 + 3 >= x1 + 2 = c#(c(b(b(a(x1)))))
166.56/42.53	       
166.56/42.53	       c#(a(x1)) = 1x1 + 3 >= -1x1 + 1 = c#(b(b(a(x1))))
166.56/42.53	       
166.56/42.53	       b(a(x1)) = x1 + 2 >= x1 = x1
166.56/42.53	       
166.56/42.53	       c(a(x1)) = 2x1 + 4 >= 2x1 + 4 = a(c(c(b(b(a(x1))))))
166.56/42.53	       
166.56/42.53	       c(b(x1)) = x1 + 1 >= x1 = x1
166.56/42.53	      problem:
166.56/42.53	       DPs:
166.56/42.53	        
166.56/42.53	       TRS:
166.56/42.53	        b(a(x1)) -> x1
166.56/42.53	        c(a(x1)) -> a(c(c(b(b(a(x1))))))
166.56/42.53	        c(b(x1)) -> x1
166.56/42.53	      Qed
166.56/42.53	EOF