165.41/42.39	YES
165.41/42.40	
165.41/42.40	Problem:
165.41/42.40	 a(b(x1)) -> x1
165.41/42.40	 a(c(x1)) -> b(c(c(a(x1))))
165.41/42.40	 b(c(x1)) -> a(b(x1))
165.41/42.40	
165.41/42.40	Proof:
165.41/42.40	 String Reversal Processor:
165.41/42.40	  b(a(x1)) -> x1
165.41/42.40	  c(a(x1)) -> a(c(c(b(x1))))
165.41/42.40	  c(b(x1)) -> b(a(x1))
165.41/42.40	  DP Processor:
165.41/42.40	   DPs:
165.41/42.40	    c#(a(x1)) -> b#(x1)
165.41/42.40	    c#(a(x1)) -> c#(b(x1))
165.41/42.40	    c#(a(x1)) -> c#(c(b(x1)))
165.41/42.40	    c#(b(x1)) -> b#(a(x1))
165.41/42.40	   TRS:
165.41/42.40	    b(a(x1)) -> x1
165.41/42.40	    c(a(x1)) -> a(c(c(b(x1))))
165.41/42.40	    c(b(x1)) -> b(a(x1))
165.41/42.40	   TDG Processor:
165.41/42.40	    DPs:
165.41/42.40	     c#(a(x1)) -> b#(x1)
165.41/42.40	     c#(a(x1)) -> c#(b(x1))
165.41/42.40	     c#(a(x1)) -> c#(c(b(x1)))
165.41/42.40	     c#(b(x1)) -> b#(a(x1))
165.41/42.40	    TRS:
165.41/42.40	     b(a(x1)) -> x1
165.41/42.40	     c(a(x1)) -> a(c(c(b(x1))))
165.41/42.40	     c(b(x1)) -> b(a(x1))
165.41/42.40	    graph:
165.41/42.40	     c#(a(x1)) -> c#(c(b(x1))) -> c#(b(x1)) -> b#(a(x1))
165.41/42.40	     c#(a(x1)) -> c#(c(b(x1))) -> c#(a(x1)) -> c#(c(b(x1)))
165.41/42.40	     c#(a(x1)) -> c#(c(b(x1))) -> c#(a(x1)) -> c#(b(x1))
165.41/42.40	     c#(a(x1)) -> c#(c(b(x1))) -> c#(a(x1)) -> b#(x1)
165.41/42.40	     c#(a(x1)) -> c#(b(x1)) -> c#(b(x1)) -> b#(a(x1))
165.41/42.40	     c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> c#(c(b(x1)))
165.41/42.40	     c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> c#(b(x1))
165.41/42.40	     c#(a(x1)) -> c#(b(x1)) -> c#(a(x1)) -> b#(x1)
165.41/42.40	    SCC Processor:
165.41/42.40	     #sccs: 1
165.41/42.40	     #rules: 2
165.41/42.40	     #arcs: 8/16
165.41/42.40	     DPs:
165.41/42.40	      c#(a(x1)) -> c#(c(b(x1)))
165.41/42.40	      c#(a(x1)) -> c#(b(x1))
165.41/42.40	     TRS:
165.41/42.40	      b(a(x1)) -> x1
165.41/42.40	      c(a(x1)) -> a(c(c(b(x1))))
165.41/42.40	      c(b(x1)) -> b(a(x1))
165.41/42.40	     Arctic Interpretation Processor:
165.41/42.40	      dimension: 1
165.41/42.40	      usable rules:
165.41/42.40	       b(a(x1)) -> x1
165.41/42.40	       c(a(x1)) -> a(c(c(b(x1))))
165.41/42.40	       c(b(x1)) -> b(a(x1))
165.41/42.40	      interpretation:
165.41/42.40	       [c#](x0) = x0 + 0,
165.41/42.40	       
165.41/42.40	       [c](x0) = 1x0 + 0,
165.41/42.40	       
165.41/42.40	       [a](x0) = 1x0 + 5,
165.41/42.40	       
165.41/42.40	       [b](x0) = -1x0 + 3
165.41/42.40	      orientation:
165.41/42.40	       c#(a(x1)) = 1x1 + 5 >= x1 + 4 = c#(c(b(x1)))
165.41/42.40	       
165.41/42.40	       c#(a(x1)) = 1x1 + 5 >= -1x1 + 3 = c#(b(x1))
165.41/42.40	       
165.41/42.40	       b(a(x1)) = x1 + 4 >= x1 = x1
165.41/42.40	       
165.41/42.40	       c(a(x1)) = 2x1 + 6 >= 2x1 + 6 = a(c(c(b(x1))))
165.41/42.40	       
165.41/42.40	       c(b(x1)) = x1 + 4 >= x1 + 4 = b(a(x1))
165.41/42.40	      problem:
165.41/42.40	       DPs:
165.41/42.40	        
165.41/42.40	       TRS:
165.41/42.40	        b(a(x1)) -> x1
165.41/42.40	        c(a(x1)) -> a(c(c(b(x1))))
165.41/42.40	        c(b(x1)) -> b(a(x1))
165.41/42.40	      Qed
165.41/42.40	EOF