167.39/43.06	YES
167.39/43.07	
167.39/43.07	Problem:
167.39/43.07	 a(x1) -> b(x1)
167.39/43.07	 a(b(x1)) -> b(a(c(x1)))
167.39/43.07	 b(b(x1)) -> x1
167.39/43.07	 c(c(x1)) -> a(x1)
167.39/43.07	
167.39/43.07	Proof:
167.39/43.07	 String Reversal Processor:
167.39/43.07	  a(x1) -> b(x1)
167.39/43.07	  b(a(x1)) -> c(a(b(x1)))
167.39/43.07	  b(b(x1)) -> x1
167.39/43.07	  c(c(x1)) -> a(x1)
167.39/43.07	  DP Processor:
167.39/43.07	   DPs:
167.39/43.07	    a#(x1) -> b#(x1)
167.39/43.07	    b#(a(x1)) -> b#(x1)
167.39/43.07	    b#(a(x1)) -> a#(b(x1))
167.39/43.07	    b#(a(x1)) -> c#(a(b(x1)))
167.39/43.07	    c#(c(x1)) -> a#(x1)
167.39/43.07	   TRS:
167.39/43.07	    a(x1) -> b(x1)
167.39/43.07	    b(a(x1)) -> c(a(b(x1)))
167.39/43.07	    b(b(x1)) -> x1
167.39/43.07	    c(c(x1)) -> a(x1)
167.39/43.07	   TDG Processor:
167.39/43.07	    DPs:
167.39/43.07	     a#(x1) -> b#(x1)
167.39/43.07	     b#(a(x1)) -> b#(x1)
167.39/43.07	     b#(a(x1)) -> a#(b(x1))
167.39/43.07	     b#(a(x1)) -> c#(a(b(x1)))
167.39/43.07	     c#(c(x1)) -> a#(x1)
167.39/43.07	    TRS:
167.39/43.07	     a(x1) -> b(x1)
167.39/43.07	     b(a(x1)) -> c(a(b(x1)))
167.39/43.07	     b(b(x1)) -> x1
167.39/43.07	     c(c(x1)) -> a(x1)
167.39/43.07	    graph:
167.39/43.07	     c#(c(x1)) -> a#(x1) -> a#(x1) -> b#(x1)
167.39/43.07	     b#(a(x1)) -> c#(a(b(x1))) -> c#(c(x1)) -> a#(x1)
167.39/43.07	     b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(x1)))
167.39/43.07	     b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(x1))
167.39/43.07	     b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1)
167.39/43.07	     b#(a(x1)) -> a#(b(x1)) -> a#(x1) -> b#(x1)
167.39/43.07	     a#(x1) -> b#(x1) -> b#(a(x1)) -> c#(a(b(x1)))
167.39/43.07	     a#(x1) -> b#(x1) -> b#(a(x1)) -> a#(b(x1))
167.39/43.07	     a#(x1) -> b#(x1) -> b#(a(x1)) -> b#(x1)
167.39/43.07	    Arctic Interpretation Processor:
167.39/43.07	     dimension: 2
167.39/43.07	     usable rules:
167.39/43.07	      a(x1) -> b(x1)
167.39/43.07	      b(a(x1)) -> c(a(b(x1)))
167.39/43.07	      b(b(x1)) -> x1
167.39/43.07	      c(c(x1)) -> a(x1)
167.39/43.07	     interpretation:
167.39/43.07	      [c#](x0) = [0 1]x0,
167.39/43.07	      
167.39/43.07	      [b#](x0) = [2 0]x0,
167.39/43.07	      
167.39/43.07	      [a#](x0) = [2 0]x0,
167.39/43.07	      
167.39/43.07	                [0  0 ]  
167.39/43.07	      [c](x0) = [1  -&]x0,
167.39/43.07	      
167.39/43.07	                [0  -&]  
167.39/43.07	      [b](x0) = [1  0 ]x0,
167.39/43.07	      
167.39/43.07	                [1 0]  
167.39/43.07	      [a](x0) = [1 0]x0
167.39/43.07	     orientation:
167.39/43.07	      a#(x1) = [2 0]x1 >= [2 0]x1 = b#(x1)
167.39/43.07	      
167.39/43.07	      b#(a(x1)) = [3 2]x1 >= [2 0]x1 = b#(x1)
167.39/43.07	      
167.39/43.07	      b#(a(x1)) = [3 2]x1 >= [2 0]x1 = a#(b(x1))
167.39/43.07	      
167.39/43.07	      b#(a(x1)) = [3 2]x1 >= [2 1]x1 = c#(a(b(x1)))
167.39/43.07	      
167.39/43.07	      c#(c(x1)) = [2 0]x1 >= [2 0]x1 = a#(x1)
167.39/43.07	      
167.39/43.07	              [1 0]      [0  -&]          
167.39/43.07	      a(x1) = [1 0]x1 >= [1  0 ]x1 = b(x1)
167.39/43.07	      
167.39/43.07	                 [1 0]      [1 0]                
167.39/43.07	      b(a(x1)) = [2 1]x1 >= [2 1]x1 = c(a(b(x1)))
167.39/43.07	      
167.39/43.07	                 [0  -&]             
167.39/43.07	      b(b(x1)) = [1  0 ]x1 >= x1 = x1
167.39/43.07	      
167.39/43.07	                 [1 0]      [1 0]          
167.39/43.07	      c(c(x1)) = [1 1]x1 >= [1 0]x1 = a(x1)
167.39/43.07	     problem:
167.39/43.07	      DPs:
167.39/43.07	       a#(x1) -> b#(x1)
167.39/43.07	       c#(c(x1)) -> a#(x1)
167.39/43.07	      TRS:
167.39/43.07	       a(x1) -> b(x1)
167.39/43.07	       b(a(x1)) -> c(a(b(x1)))
167.39/43.07	       b(b(x1)) -> x1
167.39/43.07	       c(c(x1)) -> a(x1)
167.39/43.07	     Restore Modifier:
167.39/43.07	      DPs:
167.39/43.07	       a#(x1) -> b#(x1)
167.39/43.07	       c#(c(x1)) -> a#(x1)
167.39/43.07	      TRS:
167.39/43.07	       a(x1) -> b(x1)
167.39/43.07	       b(a(x1)) -> c(a(b(x1)))
167.39/43.07	       b(b(x1)) -> x1
167.39/43.07	       c(c(x1)) -> a(x1)
167.39/43.07	      EDG Processor:
167.39/43.07	       DPs:
167.39/43.07	        a#(x1) -> b#(x1)
167.39/43.07	        c#(c(x1)) -> a#(x1)
167.39/43.07	       TRS:
167.39/43.07	        a(x1) -> b(x1)
167.39/43.07	        b(a(x1)) -> c(a(b(x1)))
167.39/43.07	        b(b(x1)) -> x1
167.39/43.07	        c(c(x1)) -> a(x1)
167.39/43.07	       graph:
167.39/43.07	        c#(c(x1)) -> a#(x1) -> a#(x1) -> b#(x1)
167.39/43.07	       SCC Processor:
167.39/43.07	        #sccs: 0
167.39/43.07	        #rules: 0
167.39/43.07	        #arcs: 1/4
167.39/43.07	        
167.39/43.07	EOF