56.47/14.68	YES
56.47/14.69	
56.47/14.69	Problem:
56.47/14.69	 thrice(0(x1)) -> p(s(p(p(p(s(s(s(0(p(s(p(s(x1)))))))))))))
56.47/14.69	 thrice(s(x1)) -> p(p(s(s(half(p(p(s(s(p(s(sixtimes(p(s(p(p(s(s(x1))))))))))))))))))
56.47/14.69	 half(0(x1)) -> p(p(s(s(p(s(0(p(s(s(s(s(x1))))))))))))
56.47/14.69	 half(s(x1)) -> p(s(p(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1)))))))))))))))))
56.47/14.69	 half(s(s(x1))) -> p(s(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1))))))))))))))))
56.47/14.69	 sixtimes(0(x1)) -> p(s(p(s(0(s(s(s(s(s(p(s(p(s(x1))))))))))))))
56.47/14.69	 sixtimes(s(x1)) ->
56.47/14.69	 p(p(s(s(s(s(s(s(s(p(p(s(p(s(s(s(sixtimes(p(s(p(p(p(s(s(s(x1)))))))))))))))))))))))))
56.47/14.69	 p(p(s(x1))) -> p(x1)
56.47/14.69	 p(s(x1)) -> x1
56.47/14.69	 p(0(x1)) -> 0(s(s(s(s(x1)))))
56.47/14.69	 0(x1) -> x1
56.47/14.69	
56.47/14.69	Proof:
56.47/14.69	 Matrix Interpretation Processor: dim=1
56.47/14.69	  
56.47/14.69	  interpretation:
56.47/14.69	   [half](x0) = x0,
56.47/14.69	   
56.47/14.69	   [sixtimes](x0) = 4x0 + 8,
56.47/14.69	   
56.47/14.69	   [p](x0) = x0,
56.47/14.69	   
56.47/14.69	   [s](x0) = x0,
56.47/14.69	   
56.47/14.69	   [thrice](x0) = 8x0 + 8,
56.47/14.69	   
56.47/14.69	   [0](x0) = 2x0
56.47/14.69	  orientation:
56.47/14.69	   thrice(0(x1)) = 16x1 + 8 >= 2x1 = p(s(p(p(p(s(s(s(0(p(s(p(s(x1)))))))))))))
56.47/14.69	   
56.47/14.69	   thrice(s(x1)) = 8x1 + 8 >= 4x1 + 8 = p(p(s(s(half(p(p(s(s(p(s(sixtimes(p(s(p(p(s(s(x1))))))))))))))))))
56.47/14.69	   
56.47/14.69	   half(0(x1)) = 2x1 >= 2x1 = p(p(s(s(p(s(0(p(s(s(s(s(x1))))))))))))
56.47/14.69	   
56.47/14.69	   half(s(x1)) = x1 >= x1 = p(s(p(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1)))))))))))))))))
56.47/14.69	   
56.47/14.69	   half(s(s(x1))) = x1 >= x1 = p(s(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1))))))))))))))))
56.47/14.69	   
56.47/14.69	   sixtimes(0(x1)) = 8x1 + 8 >= 2x1 = p(s(p(s(0(s(s(s(s(s(p(s(p(s(x1))))))))))))))
56.47/14.69	   
56.47/14.69	   sixtimes(s(x1)) = 4x1 + 8 >= 4x1 + 8 = p(p(s(s(s(s(s(s(s(p(p(s(p(s(s(s(sixtimes(p(s(p(p(p(s(s(s(x1)))))))))))))))))))))))))
56.47/14.69	   
56.47/14.69	   p(p(s(x1))) = x1 >= x1 = p(x1)
56.47/14.69	   
56.47/14.69	   p(s(x1)) = x1 >= x1 = x1
56.47/14.69	   
56.47/14.69	   p(0(x1)) = 2x1 >= 2x1 = 0(s(s(s(s(x1)))))
56.47/14.69	   
56.47/14.69	   0(x1) = 2x1 >= x1 = x1
56.47/14.69	  problem:
56.47/14.69	   thrice(s(x1)) -> p(p(s(s(half(p(p(s(s(p(s(sixtimes(p(s(p(p(s(s(x1))))))))))))))))))
56.47/14.69	   half(0(x1)) -> p(p(s(s(p(s(0(p(s(s(s(s(x1))))))))))))
56.47/14.69	   half(s(x1)) -> p(s(p(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1)))))))))))))))))
56.47/14.69	   half(s(s(x1))) -> p(s(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1))))))))))))))))
56.47/14.69	   sixtimes(s(x1)) ->
56.47/14.69	   p(p(s(s(s(s(s(s(s(p(p(s(p(s(s(s(sixtimes(p(s(p(p(p(s(s(s(x1)))))))))))))))))))))))))
56.47/14.69	   p(p(s(x1))) -> p(x1)
56.47/14.69	   p(s(x1)) -> x1
56.47/14.69	   p(0(x1)) -> 0(s(s(s(s(x1)))))
56.47/14.69	   0(x1) -> x1
56.47/14.69	  Matrix Interpretation Processor: dim=1
56.47/14.69	   
56.47/14.69	   interpretation:
56.47/14.69	    [half](x0) = x0,
56.47/14.69	    
56.47/14.69	    [sixtimes](x0) = x0,
56.47/14.69	    
56.47/14.69	    [p](x0) = x0,
56.47/14.69	    
56.47/14.69	    [s](x0) = x0,
56.47/14.69	    
56.47/14.69	    [thrice](x0) = 8x0,
56.47/14.69	    
56.47/14.69	    [0](x0) = 4x0 + 8
56.47/14.69	   orientation:
56.47/14.69	    thrice(s(x1)) = 8x1 >= x1 = p(p(s(s(half(p(p(s(s(p(s(sixtimes(p(s(p(p(s(s(x1))))))))))))))))))
56.47/14.69	    
56.47/14.69	    half(0(x1)) = 4x1 + 8 >= 4x1 + 8 = p(p(s(s(p(s(0(p(s(s(s(s(x1))))))))))))
56.47/14.69	    
56.47/14.69	    half(s(x1)) = x1 >= x1 = p(s(p(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1)))))))))))))))))
56.47/14.69	    
56.47/14.69	    half(s(s(x1))) = x1 >= x1 = p(s(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1))))))))))))))))
56.47/14.69	    
56.47/14.69	    sixtimes(s(x1)) = x1 >= x1 = p(p(s(s(s(s(s(s(s(p(p(s(p(s(s(s(sixtimes(p(s(p(p(p(s(s(s(x1)))))))))))))))))))))))))
56.47/14.69	    
56.47/14.69	    p(p(s(x1))) = x1 >= x1 = p(x1)
56.47/14.69	    
56.47/14.69	    p(s(x1)) = x1 >= x1 = x1
56.47/14.69	    
56.47/14.69	    p(0(x1)) = 4x1 + 8 >= 4x1 + 8 = 0(s(s(s(s(x1)))))
56.47/14.69	    
56.47/14.69	    0(x1) = 4x1 + 8 >= x1 = x1
56.47/14.69	   problem:
56.47/14.69	    thrice(s(x1)) -> p(p(s(s(half(p(p(s(s(p(s(sixtimes(p(s(p(p(s(s(x1))))))))))))))))))
56.47/14.69	    half(0(x1)) -> p(p(s(s(p(s(0(p(s(s(s(s(x1))))))))))))
56.47/14.69	    half(s(x1)) -> p(s(p(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1)))))))))))))))))
56.47/14.69	    half(s(s(x1))) -> p(s(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1))))))))))))))))
56.47/14.69	    sixtimes(s(x1)) ->
56.47/14.69	    p(p(s(s(s(s(s(s(s(p(p(s(p(s(s(s(sixtimes(p(s(p(p(p(s(s(s(x1)))))))))))))))))))))))))
56.47/14.69	    p(p(s(x1))) -> p(x1)
56.47/14.69	    p(s(x1)) -> x1
56.47/14.69	    p(0(x1)) -> 0(s(s(s(s(x1)))))
56.47/14.69	   Matrix Interpretation Processor: dim=1
56.47/14.69	    
56.47/14.69	    interpretation:
56.47/14.69	     [half](x0) = x0 + 8,
56.47/14.69	     
56.47/14.69	     [sixtimes](x0) = x0,
56.47/14.69	     
56.47/14.69	     [p](x0) = x0,
56.47/14.69	     
56.47/14.69	     [s](x0) = x0,
56.47/14.69	     
56.47/14.69	     [thrice](x0) = 8x0 + 8,
56.47/14.69	     
56.47/14.69	     [0](x0) = 2x0 + 4
56.47/14.69	    orientation:
56.47/14.69	     thrice(s(x1)) = 8x1 + 8 >= x1 + 8 = p(p(s(s(half(p(p(s(s(p(s(sixtimes(p(s(p(p(s(s(x1))))))))))))))))))
56.47/14.69	     
56.47/14.69	     half(0(x1)) = 2x1 + 12 >= 2x1 + 4 = p(p(s(s(p(s(0(p(s(s(s(s(x1))))))))))))
56.47/14.69	     
56.47/14.69	     half(s(x1)) = x1 + 8 >= x1 + 8 = p(s(p(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1)))))))))))))))))
56.47/14.69	     
56.75/14.70	     half(s(s(x1))) = x1 + 8 >= x1 + 8 = p(s(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1))))))))))))))))
56.75/14.70	     
56.75/14.70	     sixtimes(s(x1)) = x1 >= x1 = p(p(s(s(s(s(s(s(s(p(p(s(p(s(s(s(sixtimes(p(s(p(p(p(s(s(s(x1)))))))))))))))))))))))))
56.75/14.70	     
56.75/14.70	     p(p(s(x1))) = x1 >= x1 = p(x1)
56.75/14.70	     
56.75/14.70	     p(s(x1)) = x1 >= x1 = x1
56.75/14.70	     
56.75/14.70	     p(0(x1)) = 2x1 + 4 >= 2x1 + 4 = 0(s(s(s(s(x1)))))
56.75/14.70	    problem:
56.75/14.70	     thrice(s(x1)) -> p(p(s(s(half(p(p(s(s(p(s(sixtimes(p(s(p(p(s(s(x1))))))))))))))))))
56.75/14.70	     half(s(x1)) -> p(s(p(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1)))))))))))))))))
56.75/14.70	     half(s(s(x1))) -> p(s(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1))))))))))))))))
56.75/14.70	     sixtimes(s(x1)) ->
56.75/14.70	     p(p(s(s(s(s(s(s(s(p(p(s(p(s(s(s(sixtimes(p(s(p(p(p(s(s(s(x1)))))))))))))))))))))))))
56.75/14.70	     p(p(s(x1))) -> p(x1)
56.75/14.70	     p(s(x1)) -> x1
56.75/14.70	     p(0(x1)) -> 0(s(s(s(s(x1)))))
56.75/14.70	    Matrix Interpretation Processor: dim=1
56.75/14.70	     
56.75/14.70	     interpretation:
56.75/14.70	      [half](x0) = x0,
56.75/14.70	      
56.75/14.70	      [sixtimes](x0) = x0 + 6,
56.75/14.70	      
56.75/14.70	      [p](x0) = x0,
56.75/14.70	      
56.75/14.70	      [s](x0) = x0,
56.75/14.70	      
56.75/14.70	      [thrice](x0) = 4x0 + 7,
56.75/14.70	      
56.75/14.70	      [0](x0) = 2x0 + 4
56.75/14.70	     orientation:
56.75/14.70	      thrice(s(x1)) = 4x1 + 7 >= x1 + 6 = p(p(s(s(half(p(p(s(s(p(s(sixtimes(p(s(p(p(s(s(x1))))))))))))))))))
56.75/14.70	      
56.75/14.70	      half(s(x1)) = x1 >= x1 = p(s(p(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1)))))))))))))))))
56.75/14.70	      
56.75/14.70	      half(s(s(x1))) = x1 >= x1 = p(s(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1))))))))))))))))
56.75/14.70	      
56.75/14.70	      sixtimes(s(x1)) = x1 + 6 >= x1 + 6 = p(p(s(s(s(s(s(s(s(p(p(s(p(s(s(s(sixtimes(p(s(p(p(p(s(s(s(x1)))))))))))))))))))))))))
56.75/14.70	      
56.75/14.70	      p(p(s(x1))) = x1 >= x1 = p(x1)
56.75/14.70	      
56.75/14.70	      p(s(x1)) = x1 >= x1 = x1
56.75/14.70	      
56.75/14.70	      p(0(x1)) = 2x1 + 4 >= 2x1 + 4 = 0(s(s(s(s(x1)))))
56.75/14.70	     problem:
56.75/14.70	      half(s(x1)) -> p(s(p(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1)))))))))))))))))
56.75/14.70	      half(s(s(x1))) -> p(s(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1))))))))))))))))
56.75/14.70	      sixtimes(s(x1)) ->
56.75/14.70	      p(p(s(s(s(s(s(s(s(p(p(s(p(s(s(s(sixtimes(p(s(p(p(p(s(s(s(x1)))))))))))))))))))))))))
56.75/14.70	      p(p(s(x1))) -> p(x1)
56.75/14.70	      p(s(x1)) -> x1
56.75/14.70	      p(0(x1)) -> 0(s(s(s(s(x1)))))
56.75/14.70	     Bounds Processor:
56.75/14.70	      bound: 1
56.75/14.70	      enrichment: match
56.75/14.70	      automaton:
56.75/14.70	       final states: {46,2,45,21,19,1}
56.75/14.70	       transitions:
56.75/14.70	        f60() -> 2*
56.75/14.70	        p0(35) -> 36*
56.75/14.70	        p0(25) -> 26*
56.75/14.70	        p0(20) -> 19*
56.75/14.70	        p0(15) -> 16*
56.75/14.70	        p0(32) -> 33*
56.75/14.70	        p0(27) -> 28*
56.75/14.70	        p0(12) -> 13*
56.75/14.70	        p0(7) -> 8*
56.75/14.70	        p0(2) -> 45*
56.75/14.70	        p0(44) -> 21*
56.75/14.70	        p0(34) -> 35*
56.75/14.70	        p0(24) -> 25*
56.75/14.70	        p0(16) -> 17*
56.75/14.70	        p0(11) -> 12*
56.75/14.70	        p0(6) -> 7*
56.75/14.70	        p0(43) -> 44*
56.75/14.70	        p0(23) -> 24*
56.75/14.70	        p0(18) -> 1*
56.75/14.70	        p0(3) -> 4*
56.75/14.70	        s0(40) -> 41*
56.75/14.70	        s0(30) -> 31*
56.75/14.70	        s0(10) -> 11*
56.75/14.70	        s0(5) -> 6*
56.75/14.70	        s0(42) -> 43*
56.75/14.70	        s0(37) -> 38*
56.75/14.70	        s0(22) -> 23*
56.75/14.70	        s0(17) -> 18*
56.75/14.70	        s0(2) -> 3*
56.75/14.70	        s0(39) -> 40*
56.75/14.70	        s0(29) -> 30*
56.75/14.70	        s0(14) -> 15*
56.75/14.70	        s0(9) -> 10*
56.75/14.70	        s0(4) -> 5*
56.75/14.70	        s0(41) -> 42*
56.75/14.70	        s0(36) -> 37*
56.75/14.70	        s0(31) -> 32*
56.75/14.70	        s0(26) -> 27*
56.75/14.70	        s0(16) -> 20*
56.75/14.70	        s0(38) -> 39*
56.75/14.70	        s0(33) -> 34*
56.75/14.70	        s0(23) -> 47*
56.75/14.70	        s0(13) -> 14*
56.75/14.70	        s0(3) -> 22*
56.75/14.70	        half0(8) -> 9*
56.75/14.70	        sixtimes0(28) -> 29*
56.75/14.70	        00(47) -> 46*
56.75/14.70	        p1(60) -> 61*
56.75/14.70	        p1(50) -> 51*
56.75/14.70	        p1(72) -> 73*
56.75/14.70	        p1(52) -> 53*
56.75/14.70	        p1(66) -> 67*
56.75/14.70	        p1(68) -> 69*
56.75/14.70	        p1(58) -> 59*
56.75/14.70	        1 -> 9,51,59
56.75/14.70	        2 -> 45,73,26,28,4
56.75/14.70	        3 -> 61,25,72
56.75/14.70	        4 -> 67*
56.75/14.70	        5 -> 7,66
56.75/14.70	        9 -> 51*
56.75/14.70	        10 -> 12,50
56.75/14.70	        13 -> 59*
56.75/14.70	        14 -> 16,58
56.75/14.70	        16 -> 19*
56.75/14.70	        17 -> 1*
56.75/14.70	        19 -> 1*
56.75/14.70	        21 -> 29*
56.75/14.70	        22 -> 24,60
56.75/14.70	        26 -> 28*
56.75/14.70	        30 -> 69,36
56.75/14.70	        31 -> 33*
56.75/14.70	        33 -> 35,68
56.75/14.70	        41 -> 53,21
56.75/14.70	        42 -> 44,52
56.75/14.70	        46 -> 45*
56.75/14.70	        51 -> 13*
56.75/14.70	        53 -> 21*
56.75/14.70	        59 -> 17*
56.75/14.70	        61 -> 25*
56.75/14.70	        67 -> 8*
56.75/14.70	        69 -> 36*
56.75/14.70	        73 -> 26,28
56.75/14.70	      problem:
56.75/14.70	       
56.75/14.70	      Qed
56.75/14.71	EOF