167.03/42.66	YES
167.03/42.67	
167.03/42.67	Problem:
167.03/42.67	 a(b(x1)) -> x1
167.03/42.67	 a(c(x1)) -> b(c(c(b(a(a(x1))))))
167.03/42.67	 b(c(x1)) -> x1
167.03/42.67	
167.03/42.67	Proof:
167.03/42.67	 String Reversal Processor:
167.03/42.67	  b(a(x1)) -> x1
167.03/42.67	  c(a(x1)) -> a(a(b(c(c(b(x1))))))
167.03/42.67	  c(b(x1)) -> x1
167.03/42.67	  DP Processor:
167.03/42.67	   DPs:
167.03/42.67	    c#(a(x1)) -> b#(x1)
167.03/42.67	    c#(a(x1)) -> c#(b(x1))
167.03/42.67	    c#(a(x1)) -> c#(c(b(x1)))
167.03/42.67	    c#(a(x1)) -> b#(c(c(b(x1))))
167.03/42.67	   TRS:
167.03/42.67	    b(a(x1)) -> x1
167.03/42.67	    c(a(x1)) -> a(a(b(c(c(b(x1))))))
167.03/42.67	    c(b(x1)) -> x1
167.03/42.67	   TDG Processor:
167.03/42.67	    DPs:
167.03/42.67	     c#(a(x1)) -> b#(x1)
167.03/42.67	     c#(a(x1)) -> c#(b(x1))
167.03/42.67	     c#(a(x1)) -> c#(c(b(x1)))
167.03/42.67	     c#(a(x1)) -> b#(c(c(b(x1))))
167.03/42.67	    TRS:
167.03/42.67	     b(a(x1)) -> x1
167.03/42.67	     c(a(x1)) -> a(a(b(c(c(b(x1))))))
167.03/42.67	     c(b(x1)) -> x1
167.03/42.67	    graph:
167.03/42.67	     c#(a(x1)) -> c#(c(b(x1))) -> c#(a(x1)) -> b#(c(c(b(x1))))
167.03/42.67	     c#(a(x1)) -> c#(c(b(x1))) -> c#(a(x1)) -> c#(c(b(x1)))
167.03/42.67	     c#(a(x1)) -> c#(c(b(x1))) -> c#(a(x1)) -> c#(b(x1))
167.03/42.67	     c#(a(x1)) -> c#(c(b(x1))) -> c#(a(x1)) -> b#(x1)
167.03/42.67	     c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> b#(c(c(b(x1))))
167.03/42.67	     c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> c#(c(b(x1)))
167.03/42.67	     c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> c#(b(x1))
167.03/42.67	     c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> b#(x1)
167.03/42.67	    SCC Processor:
167.03/42.67	     #sccs: 1
167.03/42.67	     #rules: 2
167.03/42.67	     #arcs: 8/16
167.03/42.67	     DPs:
167.03/42.67	      c#(a(x1)) -> c#(c(b(x1)))
167.03/42.67	      c#(a(x1)) -> c#(b(x1))
167.03/42.67	     TRS:
167.03/42.67	      b(a(x1)) -> x1
167.03/42.67	      c(a(x1)) -> a(a(b(c(c(b(x1))))))
167.03/42.67	      c(b(x1)) -> x1
167.03/42.67	     Arctic Interpretation Processor:
167.03/42.67	      dimension: 1
167.03/42.67	      usable rules:
167.03/42.67	       b(a(x1)) -> x1
167.03/42.67	       c(a(x1)) -> a(a(b(c(c(b(x1))))))
167.03/42.67	       c(b(x1)) -> x1
167.03/42.67	      interpretation:
167.03/42.67	       [c#](x0) = x0 + 1,
167.03/42.67	       
167.03/42.67	       [c](x0) = 5x0 + 0,
167.03/42.67	       
167.03/42.67	       [a](x0) = 5x0 + 11,
167.03/42.67	       
167.03/42.67	       [b](x0) = -5x0 + 0
167.03/42.67	      orientation:
167.03/42.67	       c#(a(x1)) = 5x1 + 11 >= x1 + 5 = c#(c(b(x1)))
167.03/42.67	       
167.03/42.67	       c#(a(x1)) = 5x1 + 11 >= -5x1 + 1 = c#(b(x1))
167.03/42.67	       
167.03/42.67	       b(a(x1)) = x1 + 6 >= x1 = x1
167.03/42.67	       
167.03/42.67	       c(a(x1)) = 10x1 + 16 >= 10x1 + 16 = a(a(b(c(c(b(x1))))))
167.03/42.67	       
167.03/42.67	       c(b(x1)) = x1 + 5 >= x1 = x1
167.03/42.67	      problem:
167.03/42.67	       DPs:
167.03/42.67	        
167.03/42.67	       TRS:
167.03/42.67	        b(a(x1)) -> x1
167.03/42.67	        c(a(x1)) -> a(a(b(c(c(b(x1))))))
167.03/42.67	        c(b(x1)) -> x1
167.03/42.67	      Qed
167.03/42.67	EOF