8.27/2.47	YES
8.27/2.48	
8.27/2.48	Problem:
8.27/2.48	 v(s(x1)) -> s(p(p(s(s(s(s(s(s(s(s(w(p(p(s(s(p(s(p(s(x1))))))))))))))))))))
8.27/2.48	 v(0(x1)) -> p(p(s(s(0(p(p(s(s(s(s(s(x1))))))))))))
8.27/2.48	 w(s(x1)) -> s(s(s(s(s(s(p(p(s(s(v(p(p(s(s(s(p(p(s(s(x1))))))))))))))))))))
8.27/2.48	 w(0(x1)) -> p(s(p(p(p(p(p(p(p(p(s(s(0(s(s(s(s(s(s(x1)))))))))))))))))))
8.27/2.48	 p(p(s(x1))) -> p(x1)
8.27/2.48	 p(s(x1)) -> x1
8.27/2.48	 p(0(x1)) -> 0(s(s(s(s(s(s(s(p(s(x1))))))))))
8.27/2.48	
8.27/2.48	Proof:
8.27/2.48	 Bounds Processor:
8.27/2.48	  bound: 2
8.27/2.48	  enrichment: match
8.27/2.48	  automaton:
8.27/2.48	   final states: {66,2,65,51,33,22,1}
8.27/2.48	   transitions:
8.27/2.48	    f50() -> 2*
8.27/2.48	    s0(70) -> 71*
8.27/2.48	    s0(50) -> 33*
8.27/2.48	    s0(45) -> 46*
8.27/2.48	    s0(35) -> 36*
8.27/2.48	    s0(30) -> 31*
8.27/2.48	    s0(25) -> 26*
8.27/2.48	    s0(15) -> 16*
8.27/2.48	    s0(5) -> 67*
8.27/2.48	    s0(67) -> 68*
8.27/2.48	    s0(47) -> 48*
8.27/2.48	    s0(42) -> 43*
8.27/2.48	    s0(37) -> 38*
8.27/2.48	    s0(17) -> 18*
8.27/2.48	    s0(12) -> 13*
8.27/2.48	    s0(7) -> 8*
8.27/2.48	    s0(2) -> 3*
8.27/2.48	    s0(69) -> 70*
8.27/2.48	    s0(54) -> 55*
8.27/2.48	    s0(49) -> 50*
8.27/2.48	    s0(29) -> 30*
8.27/2.48	    s0(24) -> 25*
8.27/2.48	    s0(14) -> 15*
8.27/2.48	    s0(4) -> 5*
8.27/2.48	    s0(71) -> 72*
8.27/2.48	    s0(46) -> 47*
8.27/2.48	    s0(41) -> 42*
8.27/2.48	    s0(36) -> 37*
8.27/2.48	    s0(26) -> 52*
8.27/2.48	    s0(21) -> 1*
8.27/2.48	    s0(16) -> 17*
8.27/2.48	    s0(11) -> 12*
8.27/2.48	    s0(6) -> 7*
8.27/2.48	    s0(68) -> 69*
8.27/2.48	    s0(63) -> 64*
8.27/2.48	    s0(53) -> 54*
8.27/2.48	    s0(48) -> 49*
8.27/2.48	    s0(23) -> 24*
8.27/2.48	    s0(18) -> 19*
8.27/2.48	    s0(13) -> 14*
8.27/2.48	    s0(3) -> 23*
8.27/2.48	    p0(60) -> 61*
8.27/2.48	    p0(55) -> 56*
8.27/2.48	    p0(20) -> 21*
8.27/2.48	    p0(5) -> 6*
8.27/2.48	    p0(62) -> 63*
8.27/2.48	    p0(57) -> 58*
8.27/2.48	    p0(32) -> 22*
8.27/2.48	    p0(27) -> 28*
8.27/2.48	    p0(2) -> 65*
8.27/2.48	    p0(64) -> 51*
8.27/2.48	    p0(59) -> 60*
8.27/2.48	    p0(44) -> 45*
8.27/2.48	    p0(39) -> 40*
8.27/2.48	    p0(34) -> 35*
8.27/2.48	    p0(19) -> 20*
8.27/2.48	    p0(9) -> 10*
8.27/2.48	    p0(61) -> 62*
8.27/2.48	    p0(56) -> 57*
8.27/2.48	    p0(31) -> 32*
8.27/2.48	    p0(26) -> 27*
8.27/2.48	    p0(58) -> 59*
8.27/2.48	    p0(43) -> 44*
8.27/2.48	    p0(38) -> 39*
8.27/2.48	    p0(23) -> 34*
8.27/2.48	    p0(8) -> 9*
8.27/2.48	    p0(3) -> 4*
8.27/2.48	    w0(10) -> 11*
8.27/2.48	    00(72) -> 66*
8.27/2.48	    00(52) -> 53*
8.27/2.48	    00(28) -> 29*
8.27/2.48	    v0(40) -> 41*
8.27/2.48	    p1(75) -> 76*
8.27/2.48	    p1(152) -> 153*
8.27/2.48	    p1(147) -> 148*
8.27/2.48	    p1(137) -> 138*
8.27/2.48	    p1(77) -> 78*
8.27/2.48	    p1(204) -> 205*
8.27/2.48	    p1(99) -> 100*
8.27/2.48	    p1(226) -> 227*
8.27/2.48	    p1(136) -> 137*
8.27/2.48	    p1(131) -> 132*
8.27/2.48	    p1(101) -> 102*
8.27/2.48	    p1(91) -> 92*
8.27/2.48	    p1(248) -> 249*
8.27/2.48	    p1(193) -> 194*
8.27/2.48	    p1(148) -> 149*
8.27/2.48	    p1(133) -> 134*
8.27/2.48	    p1(93) -> 94*
8.27/2.48	    p1(83) -> 84*
8.27/2.48	    p1(270) -> 271*
8.27/2.48	    p1(105) -> 106*
8.27/2.48	    p1(85) -> 86*
8.27/2.48	    01(212) -> 213*
8.27/2.48	    01(234) -> 235*
8.27/2.48	    01(256) -> 257*
8.27/2.48	    01(201) -> 202*
8.27/2.48	    01(278) -> 279*
8.27/2.48	    01(160) -> 161*
8.27/2.48	    s1(277) -> 278*
8.27/2.48	    s1(272) -> 273*
8.27/2.48	    s1(252) -> 253*
8.27/2.48	    s1(247) -> 248*
8.27/2.48	    s1(232) -> 233*
8.27/2.48	    s1(227) -> 228*
8.27/2.48	    s1(207) -> 208*
8.27/2.48	    s1(197) -> 198*
8.27/2.48	    s1(192) -> 193*
8.27/2.48	    s1(157) -> 158*
8.27/2.48	    s1(142) -> 143*
8.27/2.48	    s1(132) -> 133*
8.27/2.48	    s1(274) -> 275*
8.27/2.48	    s1(269) -> 270*
8.27/2.48	    s1(254) -> 255*
8.27/2.48	    s1(249) -> 250*
8.27/2.48	    s1(229) -> 230*
8.27/2.48	    s1(209) -> 210*
8.27/2.48	    s1(199) -> 200*
8.27/2.48	    s1(194) -> 195*
8.27/2.48	    s1(159) -> 160*
8.27/2.48	    s1(154) -> 155*
8.27/2.48	    s1(149) -> 150*
8.27/2.48	    s1(144) -> 145*
8.27/2.48	    s1(139) -> 140*
8.27/2.48	    s1(134) -> 135*
8.27/2.48	    s1(276) -> 277*
8.27/2.48	    s1(271) -> 272*
8.27/2.48	    s1(251) -> 252*
8.27/2.48	    s1(231) -> 232*
8.27/2.48	    s1(211) -> 212*
8.27/2.48	    s1(206) -> 207*
8.27/2.48	    s1(196) -> 197*
8.27/2.48	    s1(156) -> 157*
8.27/2.48	    s1(151) -> 152*
8.27/2.48	    s1(146) -> 147*
8.27/2.48	    s1(141) -> 142*
8.27/2.48	    s1(273) -> 274*
8.27/2.48	    s1(253) -> 254*
8.27/2.48	    s1(233) -> 234*
8.27/2.48	    s1(228) -> 229*
8.27/2.48	    s1(208) -> 209*
8.27/2.48	    s1(203) -> 204*
8.27/2.48	    s1(198) -> 199*
8.27/2.48	    s1(158) -> 159*
8.27/2.48	    s1(153) -> 154*
8.27/2.48	    s1(143) -> 144*
8.27/2.48	    s1(275) -> 276*
8.27/2.48	    s1(255) -> 256*
8.27/2.48	    s1(250) -> 251*
8.27/2.48	    s1(230) -> 231*
8.27/2.48	    s1(225) -> 226*
8.27/2.48	    s1(210) -> 211*
8.27/2.48	    s1(205) -> 206*
8.27/2.48	    s1(200) -> 201*
8.27/2.48	    s1(195) -> 196*
8.27/2.48	    s1(155) -> 156*
8.27/2.48	    s1(145) -> 146*
8.27/2.48	    s1(140) -> 141*
8.27/2.48	    s1(135) -> 136*
8.27/2.48	    s1(130) -> 131*
8.27/2.48	    w1(138) -> 139*
8.27/2.48	    p2(179) -> 180*
8.27/2.48	    p2(173) -> 174*
8.27/2.48	    2 -> 65,84,35,4
8.27/2.48	    3 -> 34,83
8.27/2.48	    4 -> 6*
8.27/2.48	    6 -> 92,10
8.27/2.48	    7 -> 9,91
8.27/2.48	    17 -> 102*
8.27/2.48	    18 -> 20,101
8.27/2.48	    24 -> 100,28
8.27/2.48	    25 -> 27,99
8.27/2.48	    29 -> 76,22
8.27/2.48	    30 -> 32,75
8.27/2.48	    33 -> 139,11
8.27/2.48	    35 -> 130*
8.27/2.48	    36 -> 94*
8.27/2.48	    37 -> 39,93
8.27/2.48	    41 -> 78*
8.27/2.48	    42 -> 44,77
8.27/2.48	    51 -> 139,11
8.27/2.48	    52 -> 151*
8.27/2.48	    53 -> 86,105
8.27/2.48	    54 -> 56,85
8.27/2.48	    63 -> 51*
8.27/2.48	    66 -> 65*
8.27/2.48	    76 -> 22*
8.27/2.48	    78 -> 45*
8.27/2.48	    84 -> 35*
8.27/2.48	    86 -> 57*
8.27/2.48	    92 -> 10*
8.27/2.48	    94 -> 40*
8.27/2.48	    100 -> 28*
8.27/2.48	    102 -> 21*
8.27/2.48	    106 -> 58*
8.27/2.48	    130 -> 132*
8.27/2.48	    132 -> 134*
8.27/2.48	    134 -> 180,138
8.27/2.48	    135 -> 137,179
8.27/2.48	    145 -> 174*
8.27/2.48	    146 -> 148,173
8.27/2.48	    150 -> 41,78,45
8.27/2.48	    151 -> 153*
8.27/2.48	    160 -> 192*
8.27/2.48	    161 -> 106,58
8.27/2.48	    174 -> 149*
8.27/2.48	    180 -> 138*
8.27/2.48	    192 -> 194*
8.27/2.48	    201 -> 203*
8.27/2.48	    202 -> 59*
8.27/2.48	    203 -> 205*
8.27/2.48	    212 -> 225*
8.27/2.48	    213 -> 60*
8.27/2.48	    225 -> 227*
8.27/2.48	    234 -> 247*
8.27/2.48	    235 -> 61*
8.27/2.48	    247 -> 249*
8.27/2.48	    256 -> 269*
8.27/2.48	    257 -> 62*
8.27/2.48	    269 -> 271*
8.27/2.48	    279 -> 63,51
8.27/2.48	  problem:
8.27/2.48	   
8.27/2.48	  Qed
8.27/2.48	EOF