6.26/1.93	YES
6.42/1.94	
6.42/1.94	Problem:
6.42/1.94	 a(a(b(b(x1)))) -> b(b(b(a(a(a(x1))))))
6.42/1.94	 a(c(x1)) -> c(a(x1))
6.42/1.94	 b(c(x1)) -> c(b(x1))
6.42/1.94	
6.42/1.94	Proof:
6.42/1.94	 String Reversal Processor:
6.42/1.94	  b(b(a(a(x1)))) -> a(a(a(b(b(b(x1))))))
6.42/1.94	  c(a(x1)) -> a(c(x1))
6.42/1.94	  c(b(x1)) -> b(c(x1))
6.42/1.94	  Bounds Processor:
6.42/1.94	   bound: 6
6.42/1.94	   enrichment: match
6.42/1.94	   automaton:
6.42/1.94	    final states: {10,8,1}
6.42/1.94	    transitions:
6.42/1.94	     f30() -> 2*
6.42/1.94	     a0(5) -> 6*
6.42/1.94	     a0(7) -> 1*
6.42/1.94	     a0(9) -> 8*
6.42/1.94	     a0(6) -> 7*
6.42/1.94	     b0(2) -> 3*
6.42/1.94	     b0(9) -> 10*
6.42/1.94	     b0(4) -> 5*
6.42/1.94	     b0(3) -> 4*
6.42/1.94	     c0(2) -> 9*
6.42/1.94	     a1(30) -> 31*
6.42/1.94	     a1(22) -> 23*
6.42/1.94	     a1(84) -> 85*
6.42/1.94	     a1(29) -> 30*
6.42/1.94	     a1(86) -> 87*
6.42/1.94	     a1(21) -> 22*
6.42/1.94	     a1(28) -> 29*
6.42/1.94	     a1(23) -> 24*
6.42/1.94	     a1(85) -> 86*
6.42/1.94	     b1(25) -> 26*
6.42/1.94	     b1(20) -> 21*
6.42/1.94	     b1(82) -> 83*
6.42/1.94	     b1(27) -> 28*
6.42/1.94	     b1(19) -> 20*
6.42/1.94	     b1(106) -> 107*
6.42/1.94	     b1(81) -> 82*
6.42/1.94	     b1(26) -> 27*
6.42/1.94	     b1(83) -> 84*
6.42/1.94	     b1(18) -> 19*
6.42/1.94	     b1(95) -> 96*
6.42/1.94	     a2(50) -> 51*
6.42/1.94	     a2(122) -> 123*
6.42/1.94	     a2(112) -> 113*
6.42/1.94	     a2(57) -> 58*
6.42/1.94	     a2(49) -> 50*
6.42/1.94	     a2(121) -> 122*
6.42/1.94	     a2(111) -> 112*
6.42/1.94	     a2(56) -> 57*
6.42/1.94	     a2(51) -> 52*
6.42/1.94	     a2(113) -> 114*
6.42/1.94	     a2(58) -> 59*
6.42/1.94	     a2(120) -> 121*
6.42/1.94	     b2(55) -> 56*
6.42/1.94	     b2(117) -> 118*
6.42/1.94	     b2(47) -> 48*
6.42/1.94	     b2(119) -> 120*
6.42/1.94	     b2(109) -> 110*
6.42/1.94	     b2(54) -> 55*
6.42/1.94	     b2(46) -> 47*
6.42/1.94	     b2(128) -> 129*
6.42/1.94	     b2(118) -> 119*
6.42/1.94	     b2(108) -> 109*
6.42/1.94	     b2(53) -> 54*
6.42/1.94	     b2(48) -> 49*
6.42/1.94	     b2(115) -> 116*
6.42/1.94	     b2(110) -> 111*
6.42/1.94	     a3(177) -> 178*
6.42/1.94	     a3(167) -> 168*
6.42/1.94	     a3(147) -> 148*
6.42/1.94	     a3(142) -> 143*
6.42/1.94	     a3(77) -> 78*
6.42/1.94	     a3(169) -> 170*
6.42/1.94	     a3(149) -> 150*
6.42/1.94	     a3(79) -> 80*
6.42/1.94	     a3(176) -> 177*
6.42/1.94	     a3(141) -> 142*
6.42/1.94	     a3(178) -> 179*
6.42/1.94	     a3(168) -> 169*
6.42/1.94	     a3(148) -> 149*
6.42/1.94	     a3(78) -> 79*
6.42/1.94	     a3(140) -> 141*
6.42/1.94	     b3(75) -> 76*
6.42/1.94	     b3(137) -> 138*
6.42/1.94	     b3(174) -> 175*
6.42/1.94	     b3(164) -> 165*
6.42/1.94	     b3(144) -> 145*
6.42/1.94	     b3(139) -> 140*
6.42/1.94	     b3(74) -> 75*
6.42/1.94	     b3(166) -> 167*
6.42/1.94	     b3(146) -> 147*
6.42/1.94	     b3(76) -> 77*
6.42/1.94	     b3(173) -> 174*
6.42/1.94	     b3(158) -> 159*
6.42/1.94	     b3(138) -> 139*
6.42/1.94	     b3(180) -> 181*
6.42/1.94	     b3(175) -> 176*
6.42/1.94	     b3(165) -> 166*
6.42/1.94	     b3(145) -> 146*
6.42/1.94	     a4(227) -> 228*
6.42/1.94	     a4(217) -> 218*
6.42/1.94	     a4(187) -> 188*
6.42/1.94	     a4(244) -> 245*
6.42/1.94	     a4(229) -> 230*
6.42/1.94	     a4(189) -> 190*
6.42/1.94	     a4(216) -> 217*
6.42/1.94	     a4(243) -> 244*
6.42/1.94	     a4(228) -> 229*
6.42/1.94	     a4(218) -> 219*
6.42/1.94	     a4(188) -> 189*
6.42/1.94	     a4(245) -> 246*
6.42/1.94	     b4(242) -> 243*
6.42/1.94	     b4(222) -> 223*
6.42/1.94	     b4(224) -> 225*
6.42/1.94	     b4(214) -> 215*
6.42/1.94	     b4(184) -> 185*
6.42/1.94	     b4(241) -> 242*
6.42/1.94	     b4(226) -> 227*
6.42/1.94	     b4(211) -> 212*
6.42/1.94	     b4(186) -> 187*
6.42/1.94	     b4(238) -> 239*
6.42/1.94	     b4(213) -> 214*
6.42/1.94	     b4(240) -> 241*
6.42/1.94	     b4(225) -> 226*
6.42/1.94	     b4(215) -> 216*
6.42/1.94	     b4(200) -> 201*
6.42/1.94	     b4(185) -> 186*
6.42/1.94	     a5(272) -> 273*
6.42/1.94	     a5(257) -> 258*
6.42/1.94	     a5(299) -> 300*
6.42/1.94	     a5(279) -> 280*
6.42/1.94	     a5(259) -> 260*
6.42/1.94	     a5(301) -> 302*
6.42/1.94	     a5(271) -> 272*
6.42/1.94	     a5(278) -> 279*
6.42/1.94	     a5(273) -> 274*
6.42/1.94	     a5(258) -> 259*
6.42/1.94	     a5(300) -> 301*
6.42/1.94	     a5(280) -> 281*
6.42/1.94	     b5(277) -> 278*
6.42/1.94	     b5(269) -> 270*
6.42/1.94	     b5(254) -> 255*
6.42/1.94	     b5(296) -> 297*
6.42/1.94	     b5(276) -> 277*
6.42/1.94	     b5(256) -> 257*
6.42/1.94	     b5(298) -> 299*
6.42/1.94	     b5(268) -> 269*
6.42/1.94	     b5(275) -> 276*
6.42/1.94	     b5(270) -> 271*
6.42/1.94	     b5(255) -> 256*
6.42/1.94	     b5(297) -> 298*
6.42/1.94	     a6(306) -> 307*
6.42/1.94	     a6(308) -> 309*
6.42/1.94	     a6(307) -> 308*
6.42/1.94	     b6(304) -> 305*
6.42/1.94	     b6(303) -> 304*
6.42/1.94	     b6(305) -> 306*
6.42/1.94	     1 -> 3,4
6.42/1.94	     6 -> 18*
6.42/1.94	     8 -> 9*
6.42/1.94	     9 -> 81*
6.42/1.94	     10 -> 9*
6.42/1.94	     21 -> 46*
6.42/1.94	     23 -> 25*
6.42/1.94	     24 -> 5*
6.42/1.94	     29 -> 53*
6.42/1.94	     31 -> 20*
6.42/1.94	     52 -> 27*
6.42/1.94	     57 -> 74*
6.42/1.94	     59 -> 47*
6.42/1.94	     80 -> 49*
6.42/1.94	     84 -> 115*
6.42/1.94	     85 -> 108,95
6.42/1.94	     86 -> 106*
6.42/1.94	     87 -> 83,82,10,9
6.42/1.94	     96 -> 82*
6.42/1.94	     107 -> 82*
6.42/1.94	     111 -> 158*
6.42/1.94	     112 -> 137,117
6.42/1.94	     113 -> 128*
6.42/1.94	     114 -> 110,116,84,83
6.42/1.94	     116 -> 109*
6.42/1.94	     121 -> 144*
6.42/1.94	     123 -> 116*
6.42/1.94	     129 -> 109*
6.42/1.94	     140 -> 213*
6.42/1.94	     141 -> 184,164
6.42/1.94	     142 -> 173*
6.42/1.94	     143 -> 159,138,111,110
6.42/1.94	     147 -> 222*
6.42/1.94	     148 -> 200*
6.42/1.94	     149 -> 180*
6.42/1.94	     150 -> 111*
6.42/1.94	     159 -> 138*
6.42/1.94	     168 -> 211*
6.42/1.94	     170 -> 159,138
6.42/1.94	     177 -> 238*
6.42/1.94	     179 -> 139,119
6.42/1.94	     181 -> 174*
6.42/1.94	     187 -> 268*
6.42/1.94	     188 -> 254,224
6.42/1.94	     189 -> 240*
6.42/1.94	     190 -> 140,139
6.42/1.94	     201 -> 185*
6.42/1.94	     212 -> 185*
6.42/1.94	     219 -> 175*
6.42/1.94	     223 -> 214*
6.42/1.94	     228 -> 275*
6.42/1.94	     230 -> 214*
6.42/1.94	     239 -> 225*
6.42/1.94	     244 -> 296*
6.42/1.94	     246 -> 186,166
6.42/1.94	     260 -> 215*
6.42/1.94	     274 -> 242*
6.42/1.94	     281 -> 216*
6.42/1.94	     300 -> 303*
6.42/1.94	     302 -> 269*
6.42/1.94	     309 -> 271*
6.42/1.94	   problem:
6.42/1.94	    
6.42/1.94	   Qed
6.42/1.94	EOF