180.17/46.07	YES
180.17/46.07	
180.17/46.07	Problem:
180.17/46.07	 a(x1) -> x1
180.17/46.07	 a(a(b(x1))) -> b(a(b(a(x1))))
180.17/46.07	 b(b(x1)) -> c(a(x1))
180.17/46.07	
180.17/46.07	Proof:
180.17/46.07	 String Reversal Processor:
180.17/46.07	  a(x1) -> x1
180.17/46.07	  b(a(a(x1))) -> a(b(a(b(x1))))
180.17/46.07	  b(b(x1)) -> a(c(x1))
180.17/46.07	  DP Processor:
180.17/46.07	   DPs:
180.17/46.07	    b#(a(a(x1))) -> b#(x1)
180.17/46.07	    b#(a(a(x1))) -> a#(b(x1))
180.17/46.07	    b#(a(a(x1))) -> b#(a(b(x1)))
180.17/46.07	    b#(a(a(x1))) -> a#(b(a(b(x1))))
180.17/46.07	    b#(b(x1)) -> a#(c(x1))
180.17/46.07	   TRS:
180.17/46.07	    a(x1) -> x1
180.17/46.07	    b(a(a(x1))) -> a(b(a(b(x1))))
180.17/46.07	    b(b(x1)) -> a(c(x1))
180.17/46.07	   TDG Processor:
180.17/46.07	    DPs:
180.17/46.07	     b#(a(a(x1))) -> b#(x1)
180.17/46.07	     b#(a(a(x1))) -> a#(b(x1))
180.17/46.07	     b#(a(a(x1))) -> b#(a(b(x1)))
180.17/46.07	     b#(a(a(x1))) -> a#(b(a(b(x1))))
180.17/46.07	     b#(b(x1)) -> a#(c(x1))
180.17/46.07	    TRS:
180.17/46.07	     a(x1) -> x1
180.17/46.07	     b(a(a(x1))) -> a(b(a(b(x1))))
180.17/46.07	     b(b(x1)) -> a(c(x1))
180.17/46.07	    graph:
180.17/46.07	     b#(a(a(x1))) -> b#(a(b(x1))) -> b#(b(x1)) -> a#(c(x1))
180.17/46.07	     b#(a(a(x1))) -> b#(a(b(x1))) -> b#(a(a(x1))) -> a#(b(a(b(x1))))
180.17/46.07	     b#(a(a(x1))) -> b#(a(b(x1))) -> b#(a(a(x1))) -> b#(a(b(x1)))
180.17/46.07	     b#(a(a(x1))) -> b#(a(b(x1))) -> b#(a(a(x1))) -> a#(b(x1))
180.17/46.07	     b#(a(a(x1))) -> b#(a(b(x1))) -> b#(a(a(x1))) -> b#(x1)
180.17/46.07	     b#(a(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(c(x1))
180.17/46.07	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(b(a(b(x1))))
180.17/46.07	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(a(b(x1)))
180.17/46.07	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(b(x1))
180.17/46.07	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1)
180.17/46.07	    SCC Processor:
180.17/46.07	     #sccs: 1
180.17/46.07	     #rules: 2
180.17/46.07	     #arcs: 10/25
180.17/46.07	     DPs:
180.17/46.07	      b#(a(a(x1))) -> b#(a(b(x1)))
180.17/46.07	      b#(a(a(x1))) -> b#(x1)
180.17/46.07	     TRS:
180.17/46.07	      a(x1) -> x1
180.17/46.07	      b(a(a(x1))) -> a(b(a(b(x1))))
180.17/46.07	      b(b(x1)) -> a(c(x1))
180.17/46.07	     Arctic Interpretation Processor:
180.17/46.07	      dimension: 2
180.17/46.07	      usable rules:
180.17/46.07	       a(x1) -> x1
180.17/46.07	       b(a(a(x1))) -> a(b(a(b(x1))))
180.17/46.07	       b(b(x1)) -> a(c(x1))
180.17/46.07	      interpretation:
180.17/46.07	       [b#](x0) = [-& 1 ]x0 + [0],
180.17/46.07	       
180.17/46.07	                 [-& 0 ]     [2]
180.17/46.07	       [c](x0) = [-& -&]x0 + [0],
180.17/46.07	       
180.17/46.07	                 [-& 1 ]     [0]
180.17/46.07	       [b](x0) = [-& 0 ]x0 + [2],
180.17/46.07	       
180.17/46.07	                 [0 2]     [3]
180.17/46.07	       [a](x0) = [0 0]x0 + [0]
180.17/46.07	      orientation:
180.17/46.07	       b#(a(a(x1))) = [1 3]x1 + [4] >= [-& 2 ]x1 + [3] = b#(a(b(x1)))
180.17/46.07	       
180.17/46.07	       b#(a(a(x1))) = [1 3]x1 + [4] >= [-& 1 ]x1 + [0] = b#(x1)
180.17/46.07	       
180.17/46.07	               [0 2]     [3]           
180.17/46.07	       a(x1) = [0 0]x1 + [0] >= x1 = x1
180.17/46.07	       
180.17/46.07	                     [1 3]     [4]    [-& 3 ]     [4]                 
180.17/46.07	       b(a(a(x1))) = [0 2]x1 + [3] >= [-& 2 ]x1 + [3] = a(b(a(b(x1))))
180.17/46.07	       
180.17/46.07	                  [-& 1 ]     [3]    [-& 0 ]     [3]           
180.17/46.07	       b(b(x1)) = [-& 0 ]x1 + [2] >= [-& 0 ]x1 + [2] = a(c(x1))
180.17/46.07	      problem:
180.17/46.07	       DPs:
180.17/46.07	        
180.17/46.07	       TRS:
180.17/46.07	        a(x1) -> x1
180.17/46.07	        b(a(a(x1))) -> a(b(a(b(x1))))
180.17/46.07	        b(b(x1)) -> a(c(x1))
180.17/46.07	      Qed
180.17/46.08	EOF