YES

Problem:
 0(1(2(2(3(0(4(4(x1)))))))) -> 0(4(5(0(3(4(0(4(x1))))))))
 0(2(2(2(0(5(2(5(4(x1))))))))) -> 0(0(0(3(4(3(0(1(0(x1)))))))))
 2(1(1(3(4(3(1(1(5(x1))))))))) -> 1(0(2(3(1(0(5(1(5(x1)))))))))
 5(4(0(4(3(3(1(2(5(3(0(x1))))))))))) -> 5(5(2(5(3(1(5(0(3(5(2(x1)))))))))))
 2(4(5(0(1(1(3(3(5(3(0(0(x1)))))))))))) -> 4(4(2(2(1(0(4(0(1(3(2(0(x1))))))))))))
 4(4(3(0(3(1(5(3(5(1(3(1(5(3(x1)))))))))))))) -> 0(2(4(5(0(0(0(5(1(0(5(4(4(x1)))))))))))))
 2(2(0(0(2(1(0(5(3(2(2(1(4(0(5(x1))))))))))))))) -> 0(0(3(5(3(0(4(3(1(3(0(2(5(5(x1))))))))))))))
 3(0(0(4(2(5(5(1(3(0(2(3(3(5(1(4(5(x1))))))))))))))))) ->
 3(4(0(1(0(5(5(3(1(4(0(3(5(3(2(2(5(x1)))))))))))))))))
 5(1(1(4(1(5(3(0(4(3(2(5(4(1(3(3(5(x1))))))))))))))))) ->
 5(0(1(0(4(0(2(4(5(1(5(4(1(5(3(3(5(x1)))))))))))))))))
 0(1(4(4(3(2(0(4(1(4(3(4(4(1(5(3(4(4(x1)))))))))))))))))) ->
 0(2(4(2(3(1(0(1(1(1(3(0(2(4(4(1(1(2(x1))))))))))))))))))
 1(1(4(1(0(1(0(3(3(4(4(1(5(4(0(4(4(5(5(3(x1)))))))))))))))))))) ->
 1(3(0(3(2(2(4(4(2(0(3(3(4(0(3(0(4(3(4(0(x1))))))))))))))))))))
 2(0(3(3(3(4(1(1(0(4(4(0(3(3(3(0(0(1(5(3(x1)))))))))))))))))))) ->
 5(3(3(1(4(0(4(5(4(4(4(2(4(3(1(1(1(5(4(x1)))))))))))))))))))
 2(3(3(2(1(5(0(5(0(1(3(3(2(5(1(5(0(3(0(5(x1)))))))))))))))))))) ->
 3(4(0(2(5(5(2(4(2(4(3(1(1(4(4(5(5(3(5(x1)))))))))))))))))))
 3(3(2(2(3(3(4(0(0(0(2(5(0(5(3(0(0(1(1(4(x1)))))))))))))))))))) ->
 3(1(1(0(3(3(5(4(2(2(1(0(1(1(0(5(0(3(4(0(x1))))))))))))))))))))
 4(2(4(1(0(5(0(4(1(0(3(0(2(5(4(3(5(3(5(3(x1)))))))))))))))))))) ->
 4(2(5(4(4(2(4(5(0(0(3(1(5(0(2(0(2(2(1(x1)))))))))))))))))))

Proof:
 Bounds Processor:
  bound: 0
  enrichment: match
  automaton:
   final states: {195,178,161,143,124,107,91,75,62,50,39,28,19,10,1}
   transitions:
    f60() -> 2*
    00(55) -> 56*
    00(127) -> 128*
    00(117) -> 118*
    00(112) -> 113*
    00(57) -> 58*
    00(52) -> 53*
    00(42) -> 43*
    00(22) -> 23*
    00(17) -> 18*
    00(12) -> 13*
    00(204) -> 205*
    00(2) -> 11*
    00(129) -> 130*
    00(74) -> 62*
    00(69) -> 70*
    00(64) -> 65*
    00(44) -> 45*
    00(9) -> 1*
    00(191) -> 192*
    00(126) -> 179*
    00(101) -> 102*
    00(86) -> 87*
    00(61) -> 50*
    00(56) -> 57*
    00(31) -> 32*
    00(26) -> 27*
    00(16) -> 17*
    00(6) -> 7*
    00(198) -> 199*
    00(183) -> 184*
    00(133) -> 134*
    00(123) -> 107*
    00(103) -> 104*
    00(88) -> 89*
    00(73) -> 74*
    00(18) -> 10*
    00(205) -> 206*
    00(3) -> 4*
    00(200) -> 201*
    00(180) -> 181*
    00(175) -> 176*
    00(155) -> 156*
    00(140) -> 141*
    00(105) -> 106*
    00(80) -> 81*
    40(207) -> 208*
    40(187) -> 188*
    40(152) -> 153*
    40(102) -> 103*
    40(209) -> 210*
    40(2) -> 3*
    40(164) -> 165*
    40(154) -> 155*
    40(109) -> 110*
    40(99) -> 100*
    40(89) -> 90*
    40(59) -> 60*
    40(49) -> 39*
    40(14) -> 15*
    40(4) -> 5*
    40(176) -> 177*
    40(156) -> 157*
    40(151) -> 152*
    40(136) -> 137*
    40(126) -> 127*
    40(121) -> 122*
    40(81) -> 82*
    40(213) -> 195*
    40(11) -> 125*
    40(168) -> 169*
    40(163) -> 164*
    40(148) -> 149*
    40(68) -> 69*
    40(48) -> 49*
    40(43) -> 44*
    40(210) -> 211*
    40(8) -> 9*
    40(3) -> 51*
    40(170) -> 171*
    40(150) -> 151*
    40(135) -> 136*
    40(130) -> 131*
    40(110) -> 111*
    40(95) -> 96*
    50(35) -> 36*
    50(20) -> 63*
    50(172) -> 173*
    50(162) -> 163*
    50(92) -> 162*
    50(37) -> 38*
    50(32) -> 33*
    50(7) -> 8*
    50(2) -> 20*
    50(179) -> 180*
    50(84) -> 85*
    50(54) -> 55*
    50(29) -> 30*
    50(211) -> 212*
    50(206) -> 207*
    50(201) -> 202*
    50(106) -> 91*
    50(96) -> 97*
    50(71) -> 72*
    50(51) -> 52*
    50(21) -> 22*
    50(188) -> 189*
    50(173) -> 174*
    50(153) -> 154*
    50(98) -> 99*
    50(93) -> 94*
    50(78) -> 79*
    50(58) -> 59*
    50(38) -> 28*
    50(3) -> 144*
    50(160) -> 143*
    50(85) -> 86*
    30(70) -> 71*
    30(65) -> 66*
    30(40) -> 41*
    30(30) -> 31*
    30(20) -> 92*
    30(15) -> 16*
    30(5) -> 6*
    30(177) -> 161*
    30(167) -> 168*
    30(147) -> 148*
    30(132) -> 133*
    30(92) -> 93*
    30(77) -> 78*
    30(72) -> 73*
    30(67) -> 68*
    30(194) -> 178*
    30(189) -> 190*
    30(159) -> 160*
    30(139) -> 140*
    30(119) -> 120*
    30(79) -> 80*
    30(34) -> 35*
    30(24) -> 25*
    30(141) -> 142*
    30(131) -> 132*
    30(203) -> 204*
    30(158) -> 159*
    30(128) -> 129*
    30(113) -> 114*
    30(83) -> 84*
    30(13) -> 14*
    30(190) -> 191*
    30(125) -> 126*
    30(90) -> 75*
    10(45) -> 46*
    10(20) -> 21*
    10(202) -> 203*
    10(192) -> 193*
    10(182) -> 183*
    10(157) -> 158*
    10(142) -> 124*
    10(97) -> 98*
    10(87) -> 88*
    10(82) -> 83*
    10(27) -> 19*
    10(2) -> 196*
    10(184) -> 185*
    10(144) -> 145*
    10(114) -> 115*
    10(104) -> 105*
    10(94) -> 95*
    10(29) -> 108*
    10(181) -> 182*
    10(166) -> 167*
    10(146) -> 147*
    10(116) -> 117*
    10(66) -> 67*
    10(41) -> 42*
    10(11) -> 12*
    10(193) -> 194*
    10(118) -> 119*
    10(108) -> 109*
    10(53) -> 54*
    10(33) -> 34*
    10(23) -> 24*
    10(165) -> 166*
    10(145) -> 146*
    10(115) -> 116*
    20(60) -> 61*
    20(25) -> 26*
    20(20) -> 76*
    20(212) -> 213*
    20(197) -> 198*
    20(137) -> 138*
    20(122) -> 123*
    20(47) -> 48*
    20(2) -> 29*
    20(199) -> 200*
    20(174) -> 175*
    20(169) -> 170*
    20(149) -> 150*
    20(134) -> 135*
    20(196) -> 197*
    20(186) -> 187*
    20(171) -> 172*
    20(111) -> 112*
    20(76) -> 77*
    20(46) -> 47*
    20(36) -> 37*
    20(11) -> 40*
    20(208) -> 209*
    20(138) -> 139*
    20(63) -> 64*
    20(185) -> 186*
    20(120) -> 121*
    20(100) -> 101*
    1 -> 11*
    10 -> 11*
    19 -> 29,197
    28 -> 20,144
    39 -> 29*
    50 -> 3,51
    62 -> 29*
    91 -> 20*
    107 -> 11*
    124 -> 196*
    143 -> 29,40
    161 -> 29*
    195 -> 3*
  problem:
   
  Qed