39.30/10.32	YES
39.30/10.34	
39.30/10.34	Problem:
39.30/10.34	 strict:
39.30/10.34	  c(a(c(x1))) -> a(b(b(x1)))
39.30/10.34	  c(c(c(x1))) -> a(a(a(x1)))
39.30/10.34	 weak:
39.30/10.34	  b(b(c(x1))) -> c(a(c(x1)))
39.30/10.34	  a(a(c(x1))) -> c(a(c(x1)))
39.30/10.34	  a(b(c(x1))) -> a(c(b(x1)))
39.30/10.34	  c(c(b(x1))) -> b(b(c(x1)))
39.30/10.34	
39.30/10.34	Proof:
39.30/10.34	 String Reversal Processor:
39.30/10.34	  strict:
39.30/10.34	   c(a(c(x1))) -> b(b(a(x1)))
39.30/10.34	   c(c(c(x1))) -> a(a(a(x1)))
39.30/10.34	  weak:
39.30/10.34	   c(b(b(x1))) -> c(a(c(x1)))
39.30/10.34	   c(a(a(x1))) -> c(a(c(x1)))
39.30/10.34	   c(b(a(x1))) -> b(c(a(x1)))
39.30/10.34	   b(c(c(x1))) -> c(b(b(x1)))
39.30/10.34	  Arctic Interpretation Processor:
39.30/10.34	   dimension: 2
39.30/10.34	   interpretation:
39.30/10.34	              [0  0 ]  
39.30/10.34	    [b](x0) = [-& 0 ]x0,
39.30/10.34	    
39.30/10.34	              [0  -&]  
39.30/10.34	    [a](x0) = [-& -&]x0,
39.30/10.34	    
39.30/10.34	              [0  -&]  
39.30/10.34	    [c](x0) = [0  2 ]x0
39.30/10.34	   orientation:
39.30/10.34	                  [0  -&]      [0  -&]                
39.30/10.34	    c(a(c(x1))) = [0  -&]x1 >= [-& -&]x1 = b(b(a(x1)))
39.30/10.34	    
39.30/10.34	                  [0  -&]      [0  -&]                
39.30/10.34	    c(c(c(x1))) = [4  6 ]x1 >= [-& -&]x1 = a(a(a(x1)))
39.30/10.34	    
39.30/10.34	                  [0 0]      [0  -&]                
39.30/10.34	    c(b(b(x1))) = [0 2]x1 >= [0  -&]x1 = c(a(c(x1)))
39.30/10.34	    
39.30/10.34	                  [0  -&]      [0  -&]                
39.30/10.34	    c(a(a(x1))) = [0  -&]x1 >= [0  -&]x1 = c(a(c(x1)))
39.30/10.34	    
39.30/10.34	                  [0  -&]      [0  -&]                
39.30/10.34	    c(b(a(x1))) = [0  -&]x1 >= [0  -&]x1 = b(c(a(x1)))
39.30/10.34	    
39.30/10.34	                  [2 4]      [0 0]                
39.30/10.34	    b(c(c(x1))) = [2 4]x1 >= [0 2]x1 = c(b(b(x1)))
39.30/10.34	   problem:
39.30/10.34	    strict:
39.30/10.34	     c(a(c(x1))) -> b(b(a(x1)))
39.30/10.34	     c(c(c(x1))) -> a(a(a(x1)))
39.30/10.34	    weak:
39.30/10.34	     c(b(b(x1))) -> c(a(c(x1)))
39.30/10.34	     c(a(a(x1))) -> c(a(c(x1)))
39.30/10.34	     c(b(a(x1))) -> b(c(a(x1)))
39.30/10.34	   RT Transformation Processor:
39.30/10.34	    c(a(c(x1))) -> b(b(a(x1)))
39.30/10.34	    c(c(c(x1))) -> a(a(a(x1)))
39.30/10.34	    c(b(b(x1))) -> c(a(c(x1)))
39.30/10.34	    c(a(a(x1))) -> c(a(c(x1)))
39.30/10.34	    c(b(a(x1))) -> b(c(a(x1)))
39.30/10.34	    DP Processor:
39.30/10.34	     DPs:
39.30/10.34	      c#(b(b(x1))) -> c#(x1)
39.30/10.34	      c#(b(b(x1))) -> c#(a(c(x1)))
39.30/10.34	      c#(a(a(x1))) -> c#(x1)
39.30/10.34	      c#(a(a(x1))) -> c#(a(c(x1)))
39.30/10.34	      c#(b(a(x1))) -> c#(a(x1))
39.30/10.34	     TRS:
39.30/10.34	      c(a(c(x1))) -> b(b(a(x1)))
39.30/10.34	      c(c(c(x1))) -> a(a(a(x1)))
39.30/10.34	      c(b(b(x1))) -> c(a(c(x1)))
39.30/10.34	      c(a(a(x1))) -> c(a(c(x1)))
39.30/10.34	      c(b(a(x1))) -> b(c(a(x1)))
39.30/10.34	     EDG Processor:
39.30/10.34	      DPs:
39.30/10.34	       c#(b(b(x1))) -> c#(x1)
39.30/10.34	       c#(b(b(x1))) -> c#(a(c(x1)))
39.30/10.34	       c#(a(a(x1))) -> c#(x1)
39.30/10.34	       c#(a(a(x1))) -> c#(a(c(x1)))
39.30/10.34	       c#(b(a(x1))) -> c#(a(x1))
39.30/10.34	      TRS:
39.30/10.34	       c(a(c(x1))) -> b(b(a(x1)))
39.30/10.34	       c(c(c(x1))) -> a(a(a(x1)))
39.30/10.34	       c(b(b(x1))) -> c(a(c(x1)))
39.30/10.34	       c(a(a(x1))) -> c(a(c(x1)))
39.30/10.34	       c(b(a(x1))) -> b(c(a(x1)))
39.30/10.34	      graph:
39.30/10.34	       c#(b(b(x1))) -> c#(a(c(x1))) -> c#(a(a(x1))) -> c#(x1)
39.30/10.34	       c#(b(b(x1))) -> c#(a(c(x1))) -> c#(a(a(x1))) -> c#(a(c(x1)))
39.30/10.34	       c#(b(b(x1))) -> c#(x1) -> c#(b(b(x1))) -> c#(x1)
39.30/10.34	       c#(b(b(x1))) -> c#(x1) -> c#(b(b(x1))) -> c#(a(c(x1)))
39.30/10.34	       c#(b(b(x1))) -> c#(x1) -> c#(a(a(x1))) -> c#(x1)
39.30/10.34	       c#(b(b(x1))) -> c#(x1) -> c#(a(a(x1))) -> c#(a(c(x1)))
39.30/10.34	       c#(b(b(x1))) -> c#(x1) -> c#(b(a(x1))) -> c#(a(x1))
39.30/10.34	       c#(b(a(x1))) -> c#(a(x1)) -> c#(a(a(x1))) -> c#(x1)
39.30/10.34	       c#(b(a(x1))) -> c#(a(x1)) -> c#(a(a(x1))) -> c#(a(c(x1)))
39.30/10.34	       c#(a(a(x1))) -> c#(a(c(x1))) -> c#(a(a(x1))) -> c#(x1)
39.30/10.34	       c#(a(a(x1))) -> c#(a(c(x1))) -> c#(a(a(x1))) -> c#(a(c(x1)))
39.30/10.34	       c#(a(a(x1))) -> c#(x1) -> c#(b(b(x1))) -> c#(x1)
39.30/10.34	       c#(a(a(x1))) -> c#(x1) -> c#(b(b(x1))) -> c#(a(c(x1)))
39.30/10.34	       c#(a(a(x1))) -> c#(x1) -> c#(a(a(x1))) -> c#(x1)
39.30/10.34	       c#(a(a(x1))) -> c#(x1) -> c#(a(a(x1))) -> c#(a(c(x1)))
39.30/10.34	       c#(a(a(x1))) -> c#(x1) -> c#(b(a(x1))) -> c#(a(x1))
39.30/10.34	      Subterm Criterion Processor:
39.30/10.34	       simple projection:
39.30/10.34	        pi(c) = [0,0]
39.30/10.34	        pi(a) = [0,0]
39.30/10.34	        pi(b) = [0,0]
39.30/10.34	        pi(c#) = [0,0]
39.30/10.34	       problem:
39.30/10.34	        DPs:
39.30/10.34	         c#(b(b(x1))) -> c#(a(c(x1)))
39.30/10.34	         c#(a(a(x1))) -> c#(a(c(x1)))
39.30/10.34	        TRS:
39.30/10.34	         c(a(c(x1))) -> b(b(a(x1)))
39.30/10.34	         c(c(c(x1))) -> a(a(a(x1)))
39.30/10.34	         c(b(b(x1))) -> c(a(c(x1)))
39.30/10.34	         c(a(a(x1))) -> c(a(c(x1)))
39.30/10.34	         c(b(a(x1))) -> b(c(a(x1)))
39.30/10.34	       SCC Processor:
39.30/10.34	        #sccs: 1
39.30/10.34	        #rules: 1
39.30/10.34	        #arcs: 16/4
39.30/10.34	        DPs:
39.30/10.34	         c#(a(a(x1))) -> c#(a(c(x1)))
39.30/10.34	        TRS:
39.30/10.34	         c(a(c(x1))) -> b(b(a(x1)))
39.30/10.34	         c(c(c(x1))) -> a(a(a(x1)))
39.30/10.34	         c(b(b(x1))) -> c(a(c(x1)))
39.30/10.34	         c(a(a(x1))) -> c(a(c(x1)))
39.30/10.34	         c(b(a(x1))) -> b(c(a(x1)))
39.30/10.34	        Bounds Processor:
39.30/10.34	         bound: 1
39.30/10.34	         enrichment: match-dp
39.30/10.34	         automaton:
39.30/10.34	          final states: {1}
39.30/10.34	          transitions:
39.30/10.34	           f40() -> 2*
39.30/10.34	           c{#,0}(4) -> 1*
39.30/10.34	           a0(14) -> 15*
39.30/10.34	           a0(9) -> 10*
39.30/10.34	           a0(13) -> 14*
39.30/10.34	           a0(3) -> 4*
39.30/10.34	           c0(2) -> 3*
39.30/10.34	           c0(44) -> 45*
39.30/10.34	           b0(45) -> 46*
39.30/10.34	           b0(10) -> 11*
39.30/10.34	           b0(11) -> 12*
39.30/10.34	           c{#,1}(25) -> 26*
39.30/10.34	           a1(55) -> 56*
39.30/10.34	           a1(37) -> 38*
39.30/10.34	           a1(24) -> 25*
39.30/10.34	           a1(53) -> 54*
39.30/10.34	           a1(28) -> 29*
39.30/10.34	           c1(27) -> 28*
39.30/10.34	           c1(49) -> 50*
39.30/10.34	           c1(23) -> 24*
39.30/10.34	           b1(39) -> 40*
39.30/10.34	           b1(38) -> 39*
39.30/10.34	           2 -> 9*
39.30/10.34	           9 -> 27*
39.30/10.34	           10 -> 44,13
39.30/10.34	           12 -> 28,45,3
39.30/10.34	           14 -> 23*
39.30/10.34	           15 -> 28,3
39.30/10.34	           23 -> 53*
39.30/10.34	           24 -> 45,28,3
39.30/10.34	           25 -> 49*
39.30/10.34	           26 -> 1*
39.30/10.34	           27 -> 37*
39.30/10.34	           29 -> 23*
39.30/10.34	           40 -> 50,24
39.30/10.34	           46 -> 28,3
39.30/10.34	           49 -> 55*
39.30/10.34	           50 -> 24,3
39.30/10.34	           54 -> 38*
39.30/10.34	           56 -> 38*
39.30/10.34	         problem:
39.30/10.34	          DPs:
39.30/10.34	           
39.30/10.34	          TRS:
39.30/10.34	           c(a(c(x1))) -> b(b(a(x1)))
39.30/10.34	           c(c(c(x1))) -> a(a(a(x1)))
39.30/10.34	           c(b(b(x1))) -> c(a(c(x1)))
39.30/10.34	           c(a(a(x1))) -> c(a(c(x1)))
39.30/10.34	           c(b(a(x1))) -> b(c(a(x1)))
39.30/10.34	         Qed
39.30/10.34	EOF