21.20/5.72	YES
21.20/5.73	
21.20/5.73	Problem:
21.20/5.73	 strict:
21.20/5.73	  a(c(b(x1))) -> a(a(b(x1)))
21.20/5.73	  b(c(b(x1))) -> b(a(b(x1)))
21.20/5.73	  a(c(b(x1))) -> b(a(a(x1)))
21.20/5.73	 weak:
21.20/5.73	  a(b(a(x1))) -> c(a(b(x1)))
21.20/5.73	  a(b(a(x1))) -> c(c(a(x1)))
21.20/5.73	  c(b(c(x1))) -> b(a(c(x1)))
21.20/5.73	  a(b(c(x1))) -> c(c(a(x1)))
21.20/5.73	
21.20/5.73	Proof:
21.20/5.73	 Arctic Interpretation Processor:
21.20/5.73	  dimension: 1
21.20/5.73	  interpretation:
21.20/5.73	   [a](x0) = x0,
21.20/5.73	   
21.20/5.73	   [c](x0) = x0,
21.20/5.73	   
21.20/5.73	   [b](x0) = 9x0
21.20/5.73	  orientation:
21.20/5.73	   a(c(b(x1))) = 9x1 >= 9x1 = a(a(b(x1)))
21.20/5.73	   
21.20/5.73	   b(c(b(x1))) = 18x1 >= 18x1 = b(a(b(x1)))
21.20/5.73	   
21.20/5.73	   a(c(b(x1))) = 9x1 >= 9x1 = b(a(a(x1)))
21.20/5.73	   
21.20/5.73	   a(b(a(x1))) = 9x1 >= 9x1 = c(a(b(x1)))
21.20/5.73	   
21.20/5.73	   a(b(a(x1))) = 9x1 >= x1 = c(c(a(x1)))
21.20/5.73	   
21.20/5.73	   c(b(c(x1))) = 9x1 >= 9x1 = b(a(c(x1)))
21.20/5.73	   
21.20/5.73	   a(b(c(x1))) = 9x1 >= x1 = c(c(a(x1)))
21.20/5.73	  problem:
21.20/5.73	   strict:
21.20/5.73	    a(c(b(x1))) -> a(a(b(x1)))
21.20/5.73	    b(c(b(x1))) -> b(a(b(x1)))
21.20/5.73	    a(c(b(x1))) -> b(a(a(x1)))
21.20/5.73	   weak:
21.20/5.73	    a(b(a(x1))) -> c(a(b(x1)))
21.20/5.73	    c(b(c(x1))) -> b(a(c(x1)))
21.20/5.73	  String Reversal Processor:
21.20/5.73	   strict:
21.20/5.73	    b(c(a(x1))) -> b(a(a(x1)))
21.20/5.73	    b(c(b(x1))) -> b(a(b(x1)))
21.20/5.73	    b(c(a(x1))) -> a(a(b(x1)))
21.20/5.73	   weak:
21.20/5.73	    a(b(a(x1))) -> b(a(c(x1)))
21.20/5.73	    c(b(c(x1))) -> c(a(b(x1)))
21.20/5.73	   Bounds Processor:
21.20/5.73	    bound: 1
21.20/5.73	    enrichment: match-rt
21.20/5.73	    automaton:
21.20/5.73	     final states: {4}
21.20/5.73	     transitions:
21.20/5.73	      b1(25) -> 26*
21.20/5.73	      b1(29) -> 30*
21.20/5.73	      a1(27) -> 28*
21.20/5.73	      a1(61) -> 62*
21.20/5.73	      a1(26) -> 27*
21.20/5.73	      c1(98) -> 99*
21.20/5.73	      c1(83) -> 84*
21.20/5.73	      c1(63) -> 64*
21.20/5.73	      b0(4) -> 4*
21.20/5.73	      c0(4) -> 4*
21.20/5.73	      a0(4) -> 4*
21.20/5.73	      4 -> 83,61,25
21.20/5.73	      26 -> 98*
21.20/5.73	      27 -> 63,29
21.20/5.73	      28 -> 26,4
21.20/5.73	      30 -> 28,62,27,4,26
21.20/5.73	      62 -> 26*
21.20/5.73	      64 -> 99,84,26
21.20/5.73	      84 -> 26*
21.20/5.73	      99 -> 26*
21.20/5.73	    problem:
21.20/5.73	     strict:
21.20/5.73	      b(c(a(x1))) -> b(a(a(x1)))
21.20/5.73	      b(c(b(x1))) -> b(a(b(x1)))
21.20/5.73	     weak:
21.20/5.73	      a(b(a(x1))) -> b(a(c(x1)))
21.20/5.73	      c(b(c(x1))) -> c(a(b(x1)))
21.20/5.73	    String Reversal Processor:
21.20/5.73	     strict:
21.20/5.73	      a(c(b(x1))) -> a(a(b(x1)))
21.20/5.73	      b(c(b(x1))) -> b(a(b(x1)))
21.20/5.73	     weak:
21.20/5.73	      a(b(a(x1))) -> c(a(b(x1)))
21.20/5.73	      c(b(c(x1))) -> b(a(c(x1)))
21.20/5.73	     Bounds Processor:
21.20/5.73	      bound: 1
21.20/5.73	      enrichment: match-rt
21.20/5.73	      automaton:
21.20/5.73	       final states: {1,2,3}
21.20/5.73	       transitions:
21.20/5.73	        b1(65) -> 66*
21.20/5.73	        b1(5) -> 6*
21.20/5.73	        b1(27) -> 28*
21.20/5.73	        b1(39) -> 40*
21.20/5.73	        b1(29) -> 30*
21.20/5.73	        a1(7) -> 8*
21.20/5.73	        a1(6) -> 7*
21.20/5.73	        c1(41) -> 42*
21.20/5.73	        b0(2) -> 3*
21.20/5.73	        b0(1) -> 3*
21.20/5.73	        b0(3) -> 3*
21.20/5.73	        c0(2) -> 2*
21.20/5.73	        c0(1) -> 2*
21.20/5.73	        c0(3) -> 2*
21.20/5.73	        a0(2) -> 1*
21.20/5.73	        a0(1) -> 1*
21.20/5.73	        a0(3) -> 1*
21.20/5.73	        1 -> 27*
21.20/5.73	        2 -> 5*
21.20/5.73	        3 -> 2,29
21.20/5.73	        6 -> 65*
21.20/5.73	        7 -> 41,39
21.20/5.73	        8 -> 1*
21.20/5.73	        28 -> 2,6
21.20/5.73	        30 -> 6*
21.20/5.73	        40 -> 3,6
21.20/5.73	        42 -> 7,1
21.20/5.73	        66 -> 6*
21.20/5.73	      problem:
21.20/5.73	       strict:
21.20/5.73	        b(c(b(x1))) -> b(a(b(x1)))
21.20/5.73	       weak:
21.20/5.73	        a(b(a(x1))) -> c(a(b(x1)))
21.20/5.73	        c(b(c(x1))) -> b(a(c(x1)))
21.20/5.73	      Bounds Processor:
21.20/5.73	       bound: 1
21.20/5.73	       enrichment: match-rt
21.20/5.73	       automaton:
21.20/5.73	        final states: {4}
21.20/5.73	        transitions:
21.20/5.73	         b1(25) -> 26*
21.20/5.73	         b1(39) -> 40*
21.20/5.73	         b1(19) -> 20*
21.20/5.73	         b1(9) -> 10*
21.20/5.73	         b1(11) -> 12*
21.20/5.73	         b1(43) -> 44*
21.20/5.73	         a1(35) -> 36*
21.20/5.73	         a1(20) -> 21*
21.20/5.73	         a1(10) -> 11*
21.20/5.73	         a1(37) -> 38*
21.20/5.73	         a1(13) -> 14*
21.20/5.73	         c1(21) -> 22*
21.20/5.73	         c1(33) -> 34*
21.20/5.73	         b0(4) -> 4*
21.20/5.73	         c0(4) -> 4*
21.20/5.73	         a0(4) -> 4*
21.20/5.73	         4 -> 9*
21.20/5.73	         10 -> 19*
21.20/5.73	         11 -> 33*
21.20/5.73	         12 -> 10,13,4
21.20/5.73	         13 -> 25*
21.20/5.73	         14 -> 11*
21.20/5.73	         22 -> 35,4,14
21.20/5.73	         26 -> 20*
21.20/5.73	         34 -> 37,11
21.20/5.73	         35 -> 39*
21.20/5.73	         36 -> 11*
21.20/5.73	         37 -> 43*
21.20/5.73	         38 -> 11*
21.20/5.73	         40 -> 20*
21.20/5.73	         44 -> 20*
21.20/5.73	       problem:
21.20/5.73	        strict:
21.20/5.73	         
21.20/5.73	        weak:
21.20/5.73	         a(b(a(x1))) -> c(a(b(x1)))
21.20/5.73	         c(b(c(x1))) -> b(a(c(x1)))
21.20/5.73	       Qed
21.20/5.73	EOF