8.61/2.53	YES
8.61/2.53	
8.61/2.53	Problem:
8.61/2.53	 a(a(a(b(x1)))) -> b(a(b(a(x1))))
8.61/2.53	 b(b(a(x1))) -> a(a(a(b(x1))))
8.61/2.53	
8.61/2.53	Proof:
8.61/2.53	 Bounds Processor:
8.61/2.53	  bound: 6
8.61/2.53	  enrichment: match
8.61/2.53	  automaton:
8.61/2.53	   final states: {6,1}
8.61/2.53	   transitions:
8.61/2.53	    f20() -> 2*
8.61/2.53	    b0(5) -> 1*
8.61/2.53	    b0(2) -> 7*
8.61/2.53	    b0(3) -> 4*
8.61/2.53	    a0(7) -> 8*
8.61/2.53	    a0(2) -> 3*
8.61/2.53	    a0(9) -> 6*
8.61/2.53	    a0(4) -> 5*
8.61/2.53	    a0(8) -> 9*
8.61/2.53	    b1(45) -> 46*
8.61/2.53	    b1(25) -> 26*
8.61/2.53	    b1(16) -> 17*
8.61/2.53	    b1(18) -> 19*
8.61/2.53	    a1(15) -> 16*
8.61/2.53	    a1(47) -> 48*
8.61/2.53	    a1(27) -> 28*
8.61/2.53	    a1(17) -> 18*
8.61/2.53	    a1(46) -> 47*
8.61/2.53	    a1(26) -> 27*
8.61/2.53	    a1(158) -> 159*
8.61/2.53	    a1(48) -> 49*
8.61/2.53	    a1(28) -> 29*
8.61/2.53	    b2(60) -> 61*
8.61/2.53	    b2(51) -> 52*
8.61/2.53	    b2(31) -> 32*
8.61/2.53	    b2(53) -> 54*
8.61/2.53	    b2(33) -> 34*
8.61/2.53	    a2(50) -> 51*
8.61/2.53	    a2(30) -> 31*
8.61/2.53	    a2(162) -> 163*
8.61/2.53	    a2(62) -> 63*
8.61/2.53	    a2(52) -> 53*
8.61/2.53	    a2(32) -> 33*
8.61/2.53	    a2(104) -> 105*
8.61/2.53	    a2(61) -> 62*
8.61/2.53	    a2(63) -> 64*
8.61/2.53	    a2(80) -> 81*
8.61/2.53	    a3(75) -> 76*
8.61/2.53	    a3(87) -> 88*
8.61/2.53	    a3(77) -> 78*
8.61/2.53	    a3(119) -> 120*
8.61/2.53	    a3(126) -> 127*
8.61/2.53	    a3(86) -> 87*
8.61/2.53	    a3(118) -> 119*
8.61/2.53	    a3(120) -> 121*
8.61/2.53	    a3(85) -> 86*
8.61/2.53	    b3(142) -> 143*
8.61/2.53	    b3(117) -> 118*
8.61/2.53	    b3(164) -> 165*
8.61/2.53	    b3(84) -> 85*
8.61/2.53	    b3(76) -> 77*
8.61/2.53	    b3(108) -> 109*
8.61/2.53	    b3(78) -> 79*
8.61/2.53	    b4(177) -> 178*
8.61/2.53	    b4(102) -> 103*
8.61/2.53	    b4(136) -> 137*
8.61/2.53	    b4(138) -> 139*
8.61/2.53	    b4(100) -> 101*
8.61/2.53	    a4(137) -> 138*
8.61/2.53	    a4(179) -> 180*
8.61/2.53	    a4(154) -> 155*
8.61/2.53	    a4(124) -> 125*
8.61/2.53	    a4(99) -> 100*
8.61/2.53	    a4(236) -> 237*
8.61/2.53	    a4(146) -> 147*
8.61/2.53	    a4(101) -> 102*
8.61/2.53	    a4(178) -> 179*
8.61/2.53	    a4(168) -> 169*
8.61/2.53	    a4(148) -> 149*
8.61/2.53	    a4(180) -> 181*
8.61/2.53	    a4(135) -> 136*
8.61/2.53	    a5(242) -> 243*
8.61/2.53	    a5(187) -> 188*
8.61/2.53	    a5(194) -> 195*
8.61/2.53	    a5(189) -> 190*
8.61/2.53	    a5(241) -> 242*
8.61/2.53	    a5(243) -> 244*
8.61/2.53	    a5(193) -> 194*
8.61/2.53	    a5(250) -> 251*
8.61/2.53	    a5(195) -> 196*
8.61/2.53	    b5(212) -> 213*
8.61/2.53	    b5(192) -> 193*
8.61/2.53	    b5(264) -> 265*
8.61/2.53	    b5(204) -> 205*
8.61/2.53	    b5(206) -> 207*
8.61/2.53	    b5(188) -> 189*
8.61/2.53	    b5(240) -> 241*
8.61/2.53	    b5(190) -> 191*
8.61/2.53	    b6(262) -> 263*
8.61/2.53	    b6(217) -> 218*
8.61/2.53	    b6(260) -> 261*
8.61/2.53	    b6(215) -> 216*
8.61/2.53	    a6(274) -> 275*
8.61/2.53	    a6(259) -> 260*
8.61/2.53	    a6(234) -> 235*
8.61/2.53	    a6(214) -> 215*
8.61/2.53	    a6(276) -> 277*
8.61/2.53	    a6(261) -> 262*
8.61/2.53	    a6(226) -> 227*
8.61/2.53	    a6(216) -> 217*
8.61/2.53	    a6(268) -> 269*
8.61/2.53	    a6(228) -> 229*
8.61/2.53	    1 -> 51,16,3
8.61/2.53	    2 -> 45,15
8.61/2.53	    4 -> 25*
8.61/2.53	    6 -> 46,7
8.61/2.53	    18 -> 162,158
8.61/2.53	    19 -> 6*
8.61/2.53	    25 -> 30*
8.61/2.53	    29 -> 52,17,4
8.61/2.53	    30 -> 84*
8.61/2.53	    32 -> 117,60
8.61/2.53	    34 -> 29,4,25
8.61/2.53	    45 -> 50*
8.61/2.53	    49 -> 213,193,85,26
8.61/2.53	    53 -> 80*
8.61/2.53	    54 -> 49,26
8.61/2.53	    60 -> 75*
8.61/2.53	    64 -> 26*
8.61/2.53	    78 -> 104*
8.61/2.53	    79 -> 64,26
8.61/2.53	    80 -> 108*
8.61/2.53	    81 -> 31*
8.61/2.53	    84 -> 99*
8.61/2.53	    88 -> 118,61
8.61/2.53	    99 -> 212*
8.61/2.53	    101 -> 240,177
8.61/2.53	    102 -> 154,126
8.61/2.53	    103 -> 29,17,4,52,30,99,88,61
8.61/2.53	    104 -> 142*
8.61/2.53	    105 -> 31*
8.61/2.53	    108 -> 124*
8.61/2.53	    109 -> 85*
8.61/2.53	    117 -> 135*
8.61/2.53	    121 -> 213,193,26,85
8.61/2.53	    124 -> 192*
8.61/2.53	    125 -> 100*
8.61/2.53	    127 -> 76*
8.61/2.53	    138 -> 146*
8.61/2.53	    139 -> 121,85
8.61/2.53	    142 -> 148*
8.61/2.53	    143 -> 85*
8.61/2.53	    146 -> 204*
8.61/2.53	    147 -> 100*
8.61/2.53	    148 -> 206*
8.61/2.53	    149 -> 100*
8.61/2.53	    155 -> 136*
8.61/2.53	    159 -> 16*
8.61/2.53	    162 -> 164*
8.61/2.53	    163 -> 33*
8.61/2.53	    164 -> 168*
8.61/2.53	    165 -> 118*
8.61/2.53	    169 -> 136*
8.61/2.53	    177 -> 187*
8.61/2.53	    181 -> 26,85
8.61/2.53	    190 -> 236*
8.61/2.53	    191 -> 181,26,85
8.61/2.53	    192 -> 226*
8.61/2.53	    196 -> 241,178
8.61/2.53	    204 -> 228*
8.61/2.53	    205 -> 193*
8.61/2.53	    206 -> 234*
8.61/2.53	    207 -> 193*
8.61/2.53	    212 -> 214*
8.61/2.53	    213 -> 193*
8.61/2.53	    217 -> 276,250
8.61/2.53	    218 -> 196,178
8.61/2.53	    227 -> 215*
8.61/2.53	    229 -> 215*
8.61/2.53	    235 -> 215*
8.61/2.53	    236 -> 264*
8.61/2.53	    237 -> 100*
8.61/2.53	    240 -> 259*
8.61/2.53	    244 -> 213,193
8.61/2.53	    251 -> 188*
8.61/2.53	    262 -> 268*
8.61/2.53	    263 -> 244,213,193
8.61/2.53	    264 -> 274*
8.61/2.53	    265 -> 193*
8.61/2.53	    269 -> 215*
8.61/2.53	    275 -> 215*
8.61/2.53	    277 -> 260*
8.61/2.53	  problem:
8.61/2.53	   
8.61/2.53	  Qed
8.78/2.54	EOF