YES

Problem:
 a(a(b(b(x1)))) -> b(b(b(a(a(a(x1))))))
 a(c(x1)) -> c(a(x1))
 b(c(x1)) -> c(b(x1))

Proof:
 String Reversal Processor:
  b(b(a(a(x1)))) -> a(a(a(b(b(b(x1))))))
  c(a(x1)) -> a(c(x1))
  c(b(x1)) -> b(c(x1))
  Bounds Processor:
   bound: 5
   enrichment: match
   automaton:
    final states: {10,8,1}
    transitions:
     b0(4) -> 5*
     b0(3) -> 4*
     b0(9) -> 10*
     b0(2) -> 3*
     a4(239) -> 240*
     a4(251) -> 252*
     a4(238) -> 239*
     a4(250) -> 251*
     a4(209) -> 210*
     a4(210) -> 211*
     a4(224) -> 225*
     a4(186) -> 187*
     a4(208) -> 209*
     a4(240) -> 241*
     a4(222) -> 223*
     a4(223) -> 224*
     a4(188) -> 189*
     a4(187) -> 188*
     a4(249) -> 250*
     a5(264) -> 265*
     a5(265) -> 266*
     a5(258) -> 259*
     a5(263) -> 264*
     a5(256) -> 257*
     a5(257) -> 258*
     a1(16) -> 17*
     a1(93) -> 94*
     a1(35) -> 36*
     a1(15) -> 16*
     a1(14) -> 15*
     a1(37) -> 38*
     a1(92) -> 93*
     a1(36) -> 37*
     a1(91) -> 92*
     c0(2) -> 9*
     b3(203) -> 204*
     b3(195) -> 196*
     b3(67) -> 68*
     b3(178) -> 179*
     b3(196) -> 197*
     b3(143) -> 144*
     b3(168) -> 169*
     b3(142) -> 143*
     b3(177) -> 178*
     b3(144) -> 145*
     b3(167) -> 168*
     b3(69) -> 70*
     b3(194) -> 195*
     b3(169) -> 170*
     b3(68) -> 69*
     b3(176) -> 177*
     a3(71) -> 72*
     a3(199) -> 200*
     a3(180) -> 181*
     a3(179) -> 180*
     a3(197) -> 198*
     a3(70) -> 71*
     a3(145) -> 146*
     a3(72) -> 73*
     a3(181) -> 182*
     a3(147) -> 148*
     a3(198) -> 199*
     a3(146) -> 147*
     a3(172) -> 173*
     a3(171) -> 172*
     a3(170) -> 171*
     a0(6) -> 7*
     a0(9) -> 8*
     a0(7) -> 1*
     a0(5) -> 6*
     f30() -> 2*
     b1(89) -> 90*
     b1(13) -> 14*
     b1(12) -> 13*
     b1(90) -> 91*
     b1(88) -> 89*
     b1(95) -> 96*
     b1(32) -> 33*
     b1(11) -> 12*
     b1(34) -> 35*
     b1(33) -> 34*
     b1(106) -> 107*
     b2(40) -> 41*
     b2(122) -> 123*
     b2(158) -> 159*
     b2(149) -> 150*
     b2(127) -> 128*
     b2(39) -> 40*
     b2(62) -> 63*
     b2(128) -> 129*
     b2(108) -> 109*
     b2(126) -> 127*
     b2(61) -> 62*
     b2(60) -> 61*
     b2(110) -> 111*
     b2(109) -> 110*
     b2(41) -> 42*
     a2(43) -> 44*
     a2(63) -> 64*
     a2(42) -> 43*
     a2(131) -> 132*
     a2(113) -> 114*
     a2(64) -> 65*
     a2(111) -> 112*
     a2(129) -> 130*
     a2(44) -> 45*
     a2(112) -> 113*
     a2(65) -> 66*
     a2(130) -> 131*
     b5(261) -> 262*
     b5(260) -> 261*
     b5(254) -> 255*
     b5(262) -> 263*
     b5(255) -> 256*
     b5(253) -> 254*
     b4(221) -> 222*
     b4(237) -> 238*
     b4(220) -> 221*
     b4(185) -> 186*
     b4(184) -> 185*
     b4(183) -> 184*
     b4(207) -> 208*
     b4(206) -> 207*
     b4(205) -> 206*
     b4(219) -> 220*
     b4(248) -> 249*
     b4(242) -> 243*
     b4(236) -> 237*
     b4(246) -> 247*
     b4(235) -> 236*
     b4(192) -> 193*
     b4(226) -> 227*
     b4(247) -> 248*
     94 -> 90,89,10
     210 -> 246*
     266 -> 248*
     92 -> 108,95
     259 -> 222*
     132 -> 123,109
     148 -> 111,90,110
     159 -> 109*
     17 -> 5*
     198 -> 235*
     189 -> 177,178
     64 -> 67*
     182 -> 144*
     113 -> 149*
     112 -> 142,126
     93 -> 106*
     14 -> 39*
     114 -> 123,109,91,90
     16 -> 32*
     66 -> 40*
     45 -> 34*
     252 -> 237*
     180 -> 242*
     204 -> 195*
     6 -> 11*
     171 -> 192*
     172 -> 203*
     173 -> 111*
     150 -> 143*
     208 -> 260*
     170 -> 219*
     36 -> 60*
     91 -> 122*
     38 -> 13*
     73 -> 42*
     8 -> 9*
     123 -> 109*
     1 -> 3,4
     107 -> 89*
     193 -> 184*
     130 -> 167*
     243 -> 236*
     241 -> 227,220
     147 -> 194*
     9 -> 88*
     187 -> 205*
     146 -> 183,158
     225 -> 196*
     227 -> 220*
     145 -> 226*
     211 -> 179*
     96 -> 89*
     10 -> 9*
     200 -> 144,128
     111 -> 176*
     239 -> 253*
   problem:
    
   Qed