19.85/5.51	YES
19.85/5.52	
19.85/5.52	Problem:
19.85/5.52	 0(1(2(x1))) -> 0(0(2(1(x1))))
19.85/5.52	 0(1(2(x1))) -> 0(2(1(3(x1))))
19.85/5.52	 0(1(2(x1))) -> 0(2(3(1(x1))))
19.85/5.52	 0(1(4(x1))) -> 0(4(1(1(0(0(x1))))))
19.85/5.52	 0(3(2(x1))) -> 0(0(2(3(x1))))
19.85/5.52	 0(3(2(x1))) -> 0(2(3(1(x1))))
19.85/5.52	 0(3(4(x1))) -> 0(0(4(3(x1))))
19.85/5.52	 0(4(5(x1))) -> 0(0(4(1(5(x1)))))
19.85/5.52	 2(0(1(x1))) -> 0(2(1(1(x1))))
19.85/5.52	 2(4(1(x1))) -> 0(4(2(3(1(x1)))))
19.85/5.52	 4(3(2(x1))) -> 4(2(3(1(x1))))
19.85/5.52	 0(1(0(1(x1)))) -> 0(0(3(1(1(x1)))))
19.85/5.52	 0(1(0(2(x1)))) -> 0(0(2(1(1(1(x1))))))
19.85/5.52	 0(1(4(2(x1)))) -> 0(4(2(1(1(x1)))))
19.85/5.52	 0(3(2(4(x1)))) -> 0(4(2(3(0(x1)))))
19.85/5.52	 0(3(4(2(x1)))) -> 0(4(2(3(1(x1)))))
19.85/5.52	 0(3(5(2(x1)))) -> 0(2(1(3(5(x1)))))
19.85/5.52	 0(4(5(3(x1)))) -> 0(0(4(3(5(x1)))))
19.85/5.52	 0(5(3(4(x1)))) -> 0(4(3(3(5(x1)))))
19.85/5.52	 0(5(4(2(x1)))) -> 0(4(2(1(5(x1)))))
19.85/5.52	 2(0(3(1(x1)))) -> 0(3(2(1(1(x1)))))
19.85/5.52	 2(2(4(1(x1)))) -> 4(2(2(3(1(x1)))))
19.85/5.52	 2(3(4(3(x1)))) -> 2(3(0(4(3(3(x1))))))
19.85/5.52	 2(4(1(1(x1)))) -> 2(0(4(1(1(x1)))))
19.85/5.52	 2(4(1(3(x1)))) -> 0(4(3(2(1(x1)))))
19.85/5.52	 2(4(3(2(x1)))) -> 2(0(4(2(3(x1)))))
19.85/5.52	 2(5(4(3(x1)))) -> 0(4(2(3(5(x1)))))
19.85/5.52	 4(2(0(3(x1)))) -> 2(3(0(4(3(x1)))))
19.85/5.52	 4(3(4(3(x1)))) -> 4(3(0(4(3(x1)))))
19.85/5.52	 0(1(5(3(2(x1))))) -> 0(5(0(3(2(1(x1))))))
19.85/5.52	 0(1(5(4(2(x1))))) -> 5(2(1(0(4(3(x1))))))
19.85/5.52	 0(1(5(4(5(x1))))) -> 0(4(1(2(5(5(x1))))))
19.85/5.52	 0(2(2(4(3(x1))))) -> 2(0(4(3(0(2(x1))))))
19.85/5.52	 0(3(0(4(5(x1))))) -> 5(0(0(4(3(2(x1))))))
19.85/5.52	 0(3(2(4(3(x1))))) -> 0(4(3(3(4(2(x1))))))
19.85/5.52	 0(4(2(5(4(x1))))) -> 0(4(2(1(5(4(x1))))))
19.85/5.52	 0(5(3(2(1(x1))))) -> 0(2(3(1(3(5(x1))))))
19.85/5.52	 0(5(4(1(4(x1))))) -> 4(0(4(1(5(0(x1))))))
19.85/5.52	 2(4(1(5(3(x1))))) -> 0(4(1(3(5(2(x1))))))
19.85/5.52	 2(4(2(0(1(x1))))) -> 2(1(1(2(0(4(x1))))))
19.85/5.52	 2(5(3(4(1(x1))))) -> 5(1(0(4(3(2(x1))))))
19.85/5.52	 4(0(1(5(4(x1))))) -> 4(0(0(4(1(5(x1))))))
19.85/5.52	 4(3(0(2(3(x1))))) -> 0(4(2(3(1(3(x1))))))
19.85/5.52	 4(4(1(2(3(x1))))) -> 0(4(4(2(3(1(x1))))))
19.85/5.52	 4(5(1(0(2(x1))))) -> 1(0(4(2(1(5(x1))))))
19.85/5.52	
19.85/5.52	Proof:
19.85/5.52	 String Reversal Processor:
19.85/5.52	  2(1(0(x1))) -> 1(2(0(0(x1))))
19.85/5.52	  2(1(0(x1))) -> 3(1(2(0(x1))))
19.85/5.52	  2(1(0(x1))) -> 1(3(2(0(x1))))
19.85/5.52	  4(1(0(x1))) -> 0(0(1(1(4(0(x1))))))
19.85/5.52	  2(3(0(x1))) -> 3(2(0(0(x1))))
19.85/5.52	  2(3(0(x1))) -> 1(3(2(0(x1))))
19.85/5.52	  4(3(0(x1))) -> 3(4(0(0(x1))))
19.85/5.52	  5(4(0(x1))) -> 5(1(4(0(0(x1)))))
19.85/5.52	  1(0(2(x1))) -> 1(1(2(0(x1))))
19.85/5.52	  1(4(2(x1))) -> 1(3(2(4(0(x1)))))
19.85/5.52	  2(3(4(x1))) -> 1(3(2(4(x1))))
19.85/5.52	  1(0(1(0(x1)))) -> 1(1(3(0(0(x1)))))
19.85/5.52	  2(0(1(0(x1)))) -> 1(1(1(2(0(0(x1))))))
19.85/5.52	  2(4(1(0(x1)))) -> 1(1(2(4(0(x1)))))
19.85/5.52	  4(2(3(0(x1)))) -> 0(3(2(4(0(x1)))))
19.85/5.52	  2(4(3(0(x1)))) -> 1(3(2(4(0(x1)))))
19.85/5.52	  2(5(3(0(x1)))) -> 5(3(1(2(0(x1)))))
19.85/5.52	  3(5(4(0(x1)))) -> 5(3(4(0(0(x1)))))
19.85/5.52	  4(3(5(0(x1)))) -> 5(3(3(4(0(x1)))))
19.85/5.52	  2(4(5(0(x1)))) -> 5(1(2(4(0(x1)))))
19.85/5.52	  1(3(0(2(x1)))) -> 1(1(2(3(0(x1)))))
19.85/5.52	  1(4(2(2(x1)))) -> 1(3(2(2(4(x1)))))
19.85/5.52	  3(4(3(2(x1)))) -> 3(3(4(0(3(2(x1))))))
19.85/5.52	  1(1(4(2(x1)))) -> 1(1(4(0(2(x1)))))
19.85/5.52	  3(1(4(2(x1)))) -> 1(2(3(4(0(x1)))))
19.85/5.52	  2(3(4(2(x1)))) -> 3(2(4(0(2(x1)))))
19.85/5.52	  3(4(5(2(x1)))) -> 5(3(2(4(0(x1)))))
19.85/5.52	  3(0(2(4(x1)))) -> 3(4(0(3(2(x1)))))
19.85/5.52	  3(4(3(4(x1)))) -> 3(4(0(3(4(x1)))))
19.85/5.52	  2(3(5(1(0(x1))))) -> 1(2(3(0(5(0(x1))))))
19.85/5.52	  2(4(5(1(0(x1))))) -> 3(4(0(1(2(5(x1))))))
19.85/5.52	  5(4(5(1(0(x1))))) -> 5(5(2(1(4(0(x1))))))
19.85/5.52	  3(4(2(2(0(x1))))) -> 2(0(3(4(0(2(x1))))))
19.85/5.52	  5(4(0(3(0(x1))))) -> 2(3(4(0(0(5(x1))))))
19.85/5.52	  3(4(2(3(0(x1))))) -> 2(4(3(3(4(0(x1))))))
19.85/5.52	  4(5(2(4(0(x1))))) -> 4(5(1(2(4(0(x1))))))
19.85/5.52	  1(2(3(5(0(x1))))) -> 5(3(1(3(2(0(x1))))))
19.85/5.52	  4(1(4(5(0(x1))))) -> 0(5(1(4(0(4(x1))))))
19.85/5.52	  3(5(1(4(2(x1))))) -> 2(5(3(1(4(0(x1))))))
19.85/5.52	  1(0(2(4(2(x1))))) -> 4(0(2(1(1(2(x1))))))
19.85/5.52	  1(4(3(5(2(x1))))) -> 2(3(4(0(1(5(x1))))))
19.85/5.52	  4(5(1(0(4(x1))))) -> 5(1(4(0(0(4(x1))))))
19.85/5.52	  3(2(0(3(4(x1))))) -> 3(1(3(2(4(0(x1))))))
19.85/5.52	  3(2(1(4(4(x1))))) -> 1(3(2(4(4(0(x1))))))
19.85/5.52	  2(0(1(5(4(x1))))) -> 5(1(2(4(0(1(x1))))))
19.85/5.52	  Bounds Processor:
19.85/5.52	   bound: 1
19.85/5.52	   enrichment: match
19.85/5.52	   automaton:
19.85/5.52	    final states: {123,119,118,114,109,104,101,96,94,93,91,86,83,80,74,
19.85/5.52	                   69,65,55,64,62,60,56,50,47,43,42,39,38,37,36,34,32,
19.85/5.52	                   29,25,22,21,19,17,16,11,9,6,1}
19.85/5.52	    transitions:
19.85/5.52	     f60() -> 2*
19.85/5.52	     10(75) -> 110*
19.85/5.52	     10(45) -> 46*
19.85/5.52	     10(35) -> 34*
19.85/5.52	     10(30) -> 31*
19.85/5.52	     10(10) -> 9*
19.85/5.52	     10(5) -> 1*
19.85/5.52	     10(127) -> 128*
19.85/5.52	     10(122) -> 119*
19.85/5.52	     10(12) -> 13*
19.85/5.52	     10(7) -> 8*
19.85/5.52	     10(2) -> 124*
19.85/5.52	     10(59) -> 56*
19.85/5.52	     10(49) -> 47*
19.85/5.52	     10(24) -> 22*
19.85/5.52	     10(116) -> 117*
19.85/5.52	     10(76) -> 77*
19.85/5.52	     10(61) -> 60*
19.85/5.52	     10(51) -> 105*
19.85/5.52	     10(46) -> 43*
19.85/5.52	     10(31) -> 29*
19.85/5.52	     10(1) -> 33*
19.85/5.52	     10(98) -> 99*
19.85/5.52	     10(73) -> 69*
19.85/5.52	     10(58) -> 59*
19.85/5.52	     10(33) -> 32*
19.85/5.52	     10(28) -> 25*
19.85/5.52	     10(23) -> 35*
19.85/5.52	     10(18) -> 20*
19.85/5.52	     10(13) -> 14*
19.85/5.52	     10(8) -> 21*
19.85/5.52	     10(105) -> 106*
19.85/5.52	     20(75) -> 76*
19.85/5.52	     20(40) -> 61*
19.85/5.52	     20(92) -> 91*
19.85/5.52	     20(72) -> 73*
19.85/5.52	     20(27) -> 48*
19.85/5.52	     20(12) -> 23*
19.85/5.52	     20(2) -> 51*
19.85/5.52	     20(44) -> 45*
19.85/5.52	     20(4) -> 5*
19.85/5.52	     20(126) -> 127*
19.85/5.52	     20(106) -> 107*
19.85/5.52	     20(26) -> 27*
19.85/5.52	     20(113) -> 109*
19.85/5.52	     20(103) -> 101*
19.85/5.52	     20(58) -> 63*
19.85/5.52	     20(13) -> 81*
19.85/5.52	     20(3) -> 7*
19.85/5.52	     20(120) -> 121*
19.85/5.52	     20(90) -> 86*
19.85/5.52	     20(85) -> 83*
19.85/5.52	     00(75) -> 87*
19.85/5.52	     00(70) -> 71*
19.85/5.52	     00(15) -> 11*
19.85/5.52	     00(107) -> 108*
19.85/5.52	     00(97) -> 115*
19.85/5.52	     00(87) -> 88*
19.85/5.52	     00(77) -> 78*
19.85/5.52	     00(52) -> 53*
19.85/5.52	     00(2) -> 3*
19.85/5.52	     00(124) -> 125*
19.85/5.52	     00(84) -> 85*
19.85/5.52	     00(24) -> 36*
19.85/5.52	     00(14) -> 15*
19.85/5.52	     00(66) -> 67*
19.85/5.52	     00(51) -> 57*
19.85/5.52	     00(26) -> 97*
19.85/5.52	     00(3) -> 4*
19.85/5.52	     00(110) -> 111*
19.85/5.52	     00(100) -> 96*
19.85/5.52	     30(55) -> 50*
19.85/5.52	     30(40) -> 41*
19.85/5.52	     30(5) -> 16*
19.85/5.52	     30(112) -> 113*
19.85/5.52	     30(27) -> 28*
19.85/5.52	     30(22) -> 118*
19.85/5.52	     30(12) -> 40*
19.85/5.52	     30(7) -> 10*
19.85/5.52	     30(89) -> 90*
19.85/5.52	     30(79) -> 74*
19.85/5.52	     30(54) -> 55*
19.85/5.52	     30(9) -> 95*
19.85/5.52	     30(4) -> 30*
19.85/5.52	     30(121) -> 122*
19.85/5.52	     30(71) -> 72*
19.85/5.52	     30(51) -> 52*
19.85/5.52	     30(26) -> 66*
19.85/5.52	     30(68) -> 65*
19.85/5.52	     30(63) -> 62*
19.85/5.52	     30(58) -> 84*
19.85/5.52	     30(48) -> 49*
19.85/5.52	     30(23) -> 24*
19.85/5.52	     30(18) -> 17*
19.85/5.52	     30(13) -> 102*
19.85/5.52	     30(8) -> 6*
19.85/5.52	     30(3) -> 44*
19.85/5.52	     40(97) -> 98*
19.85/5.52	     40(67) -> 68*
19.85/5.52	     40(57) -> 58*
19.85/5.52	     40(42) -> 93*
19.85/5.52	     40(12) -> 120*
19.85/5.52	     40(2) -> 26*
19.85/5.52	     40(4) -> 18*
19.85/5.52	     40(111) -> 112*
19.85/5.52	     40(41) -> 92*
19.85/5.52	     40(108) -> 104*
19.85/5.52	     40(88) -> 89*
19.85/5.52	     40(78) -> 79*
19.85/5.52	     40(53) -> 54*
19.85/5.52	     40(3) -> 12*
19.85/5.52	     40(125) -> 126*
19.85/5.52	     40(115) -> 116*
19.85/5.52	     50(35) -> 42*
19.85/5.52	     50(20) -> 19*
19.85/5.52	     50(117) -> 114*
19.85/5.52	     50(102) -> 103*
19.85/5.52	     50(82) -> 80*
19.85/5.52	     50(17) -> 38*
19.85/5.52	     50(2) -> 75*
19.85/5.52	     50(99) -> 100*
19.85/5.52	     50(24) -> 64*
19.85/5.52	     50(81) -> 82*
19.85/5.52	     50(41) -> 39*
19.85/5.52	     50(6) -> 37*
19.85/5.52	     50(128) -> 123*
19.85/5.52	     50(3) -> 70*
19.85/5.52	     50(95) -> 94*
19.85/5.52	     11(212) -> 213*
19.85/5.52	     11(159) -> 160*
19.85/5.52	     11(198) -> 199*
19.85/5.52	     11(193) -> 194*
19.85/5.52	     11(178) -> 179*
19.85/5.52	     11(173) -> 174*
19.85/5.52	     11(155) -> 156*
19.85/5.52	     31(197) -> 198*
19.85/5.52	     31(192) -> 193*
19.85/5.52	     31(177) -> 178*
19.85/5.52	     31(172) -> 173*
19.85/5.52	     31(142) -> 143*
19.85/5.52	     31(137) -> 138*
19.85/5.52	     31(154) -> 155*
19.85/5.52	     31(211) -> 212*
19.85/5.52	     31(158) -> 159*
19.85/5.52	     21(157) -> 158*
19.85/5.52	     21(196) -> 197*
19.85/5.52	     21(191) -> 192*
19.85/5.52	     21(176) -> 177*
19.85/5.52	     21(171) -> 172*
19.85/5.52	     21(141) -> 142*
19.85/5.52	     21(136) -> 137*
19.85/5.52	     21(153) -> 154*
19.85/5.52	     21(210) -> 211*
19.85/5.52	     41(209) -> 210*
19.85/5.52	     41(205) -> 206*
19.85/5.52	     41(195) -> 196*
19.85/5.52	     41(190) -> 191*
19.85/5.52	     41(175) -> 176*
19.85/5.52	     41(170) -> 171*
19.85/5.52	     01(139) -> 140*
19.85/5.52	     01(134) -> 135*
19.85/5.52	     01(140) -> 141*
19.85/5.52	     01(135) -> 136*
19.85/5.52	     1 -> 51*
19.85/5.52	     2 -> 134*
19.85/5.52	     3 -> 190*
19.85/5.52	     4 -> 195*
19.85/5.52	     6 -> 51*
19.85/5.52	     9 -> 51*
19.85/5.52	     11 -> 26*
19.85/5.52	     16 -> 51*
19.85/5.52	     17 -> 26*
19.85/5.52	     19 -> 75*
19.85/5.52	     21 -> 124*
19.85/5.52	     22 -> 51,27,124
19.85/5.52	     25 -> 51*
19.85/5.53	     28 -> 155,10
19.85/5.53	     29 -> 124*
19.85/5.53	     32 -> 51,154,7
19.85/5.53	     34 -> 51,27
19.85/5.53	     36 -> 26*
19.85/5.53	     37 -> 51,76
19.85/5.53	     39 -> 26*
19.85/5.53	     42 -> 51,27
19.85/5.53	     43 -> 124*
19.85/5.53	     47 -> 124*
19.85/5.53	     50 -> 66*
19.85/5.53	     53 -> 205*
19.85/5.53	     55 -> 44*
19.85/5.53	     56 -> 124*
19.85/5.53	     62 -> 51*
19.85/5.53	     64 -> 66*
19.85/5.53	     65 -> 66*
19.85/5.53	     69 -> 51*
19.85/5.53	     70 -> 139*
19.85/5.53	     74 -> 51,27
19.85/5.53	     78 -> 209*
19.85/5.53	     80 -> 75*
19.85/5.53	     83 -> 66*
19.85/5.53	     86 -> 75*
19.85/5.53	     88 -> 175*
19.85/5.53	     91 -> 66*
19.85/5.53	     93 -> 26*
19.85/5.53	     94 -> 124,105
19.85/5.53	     96 -> 26*
19.85/5.53	     104 -> 124*
19.85/5.53	     109 -> 124*
19.85/5.53	     111 -> 170*
19.85/5.53	     114 -> 26*
19.85/5.53	     119 -> 52*
19.85/5.53	     123 -> 51,154,7
19.85/5.53	     135 -> 153*
19.85/5.53	     138 -> 45*
19.85/5.53	     140 -> 157*
19.85/5.53	     143 -> 73*
19.85/5.53	     156 -> 45*
19.85/5.53	     160 -> 73*
19.85/5.53	     174 -> 109*
19.85/5.53	     179 -> 86*
19.85/5.53	     194 -> 61*
19.85/5.53	     199 -> 27*
19.85/5.53	     206 -> 153*
19.85/5.53	     213 -> 48*
19.85/5.53	   problem:
19.85/5.53	    
19.85/5.53	   Qed
19.85/5.53	EOF