166.13/42.45	YES
166.13/42.45	
166.13/42.45	Problem:
166.13/42.45	 a(x1) -> b(b(c(x1)))
166.13/42.45	 a(b(x1)) -> x1
166.13/42.45	 a(c(b(x1))) -> a(a(a(x1)))
166.13/42.45	
166.13/42.45	Proof:
166.13/42.45	 String Reversal Processor:
166.13/42.45	  a(x1) -> c(b(b(x1)))
166.13/42.45	  b(a(x1)) -> x1
166.13/42.45	  b(c(a(x1))) -> a(a(a(x1)))
166.13/42.45	  DP Processor:
166.13/42.45	   DPs:
166.13/42.45	    a#(x1) -> b#(x1)
166.13/42.45	    a#(x1) -> b#(b(x1))
166.13/42.45	    b#(c(a(x1))) -> a#(a(x1))
166.13/42.45	    b#(c(a(x1))) -> a#(a(a(x1)))
166.13/42.45	   TRS:
166.13/42.45	    a(x1) -> c(b(b(x1)))
166.13/42.45	    b(a(x1)) -> x1
166.13/42.45	    b(c(a(x1))) -> a(a(a(x1)))
166.13/42.45	   TDG Processor:
166.13/42.45	    DPs:
166.13/42.45	     a#(x1) -> b#(x1)
166.13/42.45	     a#(x1) -> b#(b(x1))
166.13/42.45	     b#(c(a(x1))) -> a#(a(x1))
166.13/42.45	     b#(c(a(x1))) -> a#(a(a(x1)))
166.13/42.45	    TRS:
166.13/42.45	     a(x1) -> c(b(b(x1)))
166.13/42.45	     b(a(x1)) -> x1
166.13/42.45	     b(c(a(x1))) -> a(a(a(x1)))
166.13/42.45	    graph:
166.13/42.45	     b#(c(a(x1))) -> a#(a(a(x1))) -> a#(x1) -> b#(b(x1))
166.13/42.45	     b#(c(a(x1))) -> a#(a(a(x1))) -> a#(x1) -> b#(x1)
166.13/42.45	     b#(c(a(x1))) -> a#(a(x1)) -> a#(x1) -> b#(b(x1))
166.13/42.45	     b#(c(a(x1))) -> a#(a(x1)) -> a#(x1) -> b#(x1)
166.13/42.45	     a#(x1) -> b#(b(x1)) -> b#(c(a(x1))) -> a#(a(a(x1)))
166.13/42.45	     a#(x1) -> b#(b(x1)) -> b#(c(a(x1))) -> a#(a(x1))
166.13/42.45	     a#(x1) -> b#(x1) -> b#(c(a(x1))) -> a#(a(a(x1)))
166.13/42.45	     a#(x1) -> b#(x1) -> b#(c(a(x1))) -> a#(a(x1))
166.13/42.45	    Arctic Interpretation Processor:
166.13/42.45	     dimension: 1
166.13/42.45	     usable rules:
166.13/42.45	      a(x1) -> c(b(b(x1)))
166.13/42.45	      b(a(x1)) -> x1
166.13/42.45	      b(c(a(x1))) -> a(a(a(x1)))
166.13/42.45	     interpretation:
166.13/42.45	      [b#](x0) = -12x0 + 0,
166.13/42.45	      
166.13/42.45	      [a#](x0) = -12x0 + 0,
166.13/42.45	      
166.13/42.45	      [b](x0) = -4x0 + 3,
166.13/42.45	      
166.13/42.45	      [c](x0) = 12x0 + 0,
166.13/42.45	      
166.13/42.45	      [a](x0) = 4x0 + 15
166.13/42.45	     orientation:
166.13/42.45	      a#(x1) = -12x1 + 0 >= -12x1 + 0 = b#(x1)
166.13/42.45	      
166.13/42.45	      a#(x1) = -12x1 + 0 >= -16x1 + 0 = b#(b(x1))
166.13/42.45	      
166.13/42.45	      b#(c(a(x1))) = 4x1 + 15 >= -8x1 + 3 = a#(a(x1))
166.13/42.45	      
166.13/42.45	      b#(c(a(x1))) = 4x1 + 15 >= -4x1 + 7 = a#(a(a(x1)))
166.13/42.45	      
166.13/42.45	      a(x1) = 4x1 + 15 >= 4x1 + 15 = c(b(b(x1)))
166.13/42.45	      
166.13/42.45	      b(a(x1)) = x1 + 11 >= x1 = x1
166.13/42.45	      
166.13/42.45	      b(c(a(x1))) = 12x1 + 23 >= 12x1 + 23 = a(a(a(x1)))
166.13/42.45	     problem:
166.13/42.45	      DPs:
166.13/42.45	       a#(x1) -> b#(x1)
166.13/42.45	       a#(x1) -> b#(b(x1))
166.13/42.45	      TRS:
166.13/42.45	       a(x1) -> c(b(b(x1)))
166.13/42.45	       b(a(x1)) -> x1
166.13/42.45	       b(c(a(x1))) -> a(a(a(x1)))
166.13/42.45	     Restore Modifier:
166.13/42.45	      DPs:
166.13/42.45	       a#(x1) -> b#(x1)
166.13/42.45	       a#(x1) -> b#(b(x1))
166.13/42.45	      TRS:
166.13/42.45	       a(x1) -> c(b(b(x1)))
166.13/42.45	       b(a(x1)) -> x1
166.13/42.45	       b(c(a(x1))) -> a(a(a(x1)))
166.13/42.45	      EDG Processor:
166.13/42.45	       DPs:
166.13/42.45	        a#(x1) -> b#(x1)
166.13/42.45	        a#(x1) -> b#(b(x1))
166.13/42.45	       TRS:
166.13/42.45	        a(x1) -> c(b(b(x1)))
166.13/42.45	        b(a(x1)) -> x1
166.13/42.45	        b(c(a(x1))) -> a(a(a(x1)))
166.13/42.45	       graph:
166.13/42.45	        
166.13/42.45	       SCC Processor:
166.13/42.45	        #sccs: 0
166.13/42.45	        #rules: 0
166.13/42.45	        #arcs: 0/4
166.13/42.45	        
166.13/42.46	EOF