4.92/1.62	YES
5.15/1.62	
5.15/1.62	Problem:
5.15/1.62	 c(c(x1)) -> a(b(x1))
5.15/1.62	 b(x1) -> a(a(x1))
5.15/1.62	 b(b(b(x1))) -> a(c(b(x1)))
5.15/1.62	 a(c(a(x1))) -> a(c(c(x1)))
5.15/1.62	
5.15/1.62	Proof:
5.15/1.62	 String Reversal Processor:
5.15/1.62	  c(c(x1)) -> b(a(x1))
5.15/1.62	  b(x1) -> a(a(x1))
5.15/1.62	  b(b(b(x1))) -> b(c(a(x1)))
5.15/1.62	  a(c(a(x1))) -> c(c(a(x1)))
5.15/1.62	  Bounds Processor:
5.15/1.62	   bound: 5
5.15/1.62	   enrichment: match
5.15/1.62	   automaton:
5.15/1.62	    final states: {7,5,4,1}
5.15/1.62	    transitions:
5.15/1.62	     f30() -> 2*
5.15/1.62	     b0(6) -> 5*
5.15/1.62	     b0(3) -> 1*
5.15/1.62	     a0(2) -> 3*
5.15/1.62	     a0(3) -> 4*
5.15/1.62	     c0(6) -> 7*
5.15/1.62	     c0(3) -> 6*
5.15/1.62	     a1(22) -> 23*
5.15/1.62	     a1(34) -> 35*
5.15/1.62	     a1(14) -> 15*
5.15/1.62	     a1(21) -> 22*
5.15/1.62	     a1(11) -> 12*
5.15/1.62	     b1(72) -> 73*
5.15/1.62	     b1(52) -> 53*
5.15/1.62	     b1(12) -> 13*
5.15/1.62	     c1(35) -> 36*
5.15/1.62	     c1(84) -> 85*
5.15/1.62	     c1(71) -> 72*
5.15/1.62	     c1(56) -> 57*
5.15/1.62	     c1(36) -> 37*
5.15/1.62	     c1(128) -> 129*
5.15/1.62	     c1(83) -> 84*
5.15/1.62	     a2(75) -> 76*
5.15/1.62	     a2(65) -> 66*
5.15/1.62	     a2(25) -> 26*
5.15/1.62	     a2(89) -> 90*
5.15/1.62	     a2(74) -> 75*
5.15/1.62	     a2(24) -> 25*
5.15/1.62	     a2(146) -> 147*
5.15/1.62	     a2(66) -> 67*
5.15/1.62	     a2(58) -> 59*
5.15/1.62	     a2(38) -> 39*
5.15/1.62	     b2(114) -> 115*
5.15/1.62	     b2(39) -> 40*
5.15/1.62	     b2(90) -> 91*
5.15/1.62	     a3(45) -> 46*
5.15/1.62	     a3(172) -> 173*
5.15/1.62	     a3(107) -> 108*
5.15/1.62	     a3(164) -> 165*
5.15/1.62	     a3(44) -> 45*
5.15/1.62	     a3(126) -> 127*
5.15/1.62	     a3(101) -> 102*
5.15/1.62	     a3(108) -> 109*
5.15/1.62	     a3(125) -> 126*
5.15/1.62	     c2(157) -> 158*
5.15/1.62	     c2(92) -> 93*
5.15/1.62	     c2(158) -> 159*
5.15/1.62	     c2(113) -> 114*
5.15/1.62	     c2(93) -> 94*
5.15/1.62	     c2(160) -> 161*
5.15/1.62	     b3(102) -> 103*
5.15/1.62	     b3(165) -> 166*
5.15/1.62	     a4(117) -> 118*
5.15/1.62	     a4(174) -> 175*
5.15/1.62	     a4(116) -> 117*
5.15/1.62	     a4(138) -> 139*
5.15/1.62	     a4(175) -> 176*
5.15/1.62	     c3(136) -> 137*
5.15/1.62	     c3(135) -> 136*
5.15/1.62	     b4(139) -> 140*
5.15/1.62	     a5(152) -> 153*
5.15/1.62	     a5(151) -> 152*
5.15/1.62	     2 -> 34*
5.15/1.62	     3 -> 11*
5.15/1.62	     6 -> 21*
5.15/1.62	     7 -> 35,3,11,38
5.15/1.62	     12 -> 24,14
5.15/1.62	     13 -> 7*
5.15/1.62	     15 -> 1*
5.15/1.62	     22 -> 52*
5.15/1.62	     23 -> 5*
5.15/1.62	     26 -> 56,13
5.15/1.62	     35 -> 38*
5.15/1.62	     37 -> 22*
5.15/1.62	     39 -> 44*
5.15/1.62	     40 -> 37,22
5.15/1.62	     45 -> 92,71
5.15/1.62	     46 -> 40,37
5.15/1.62	     52 -> 65*
5.15/1.62	     53 -> 36,6,21
5.15/1.62	     56 -> 58*
5.15/1.62	     57 -> 36*
5.15/1.62	     59 -> 39*
5.15/1.62	     67 -> 160,83,53,21
5.15/1.62	     72 -> 74*
5.15/1.62	     73 -> 5*
5.15/1.62	     76 -> 73*
5.15/1.62	     83 -> 89*
5.15/1.62	     85 -> 39,4,12,44
5.15/1.62	     90 -> 107*
5.15/1.62	     91 -> 85,4,12,39,24
5.15/1.62	     92 -> 101*
5.15/1.62	     94 -> 75*
5.15/1.62	     102 -> 116*
5.15/1.62	     103 -> 94,75
5.15/1.62	     108 -> 135,113
5.15/1.62	     109 -> 91,14,4,39
5.15/1.62	     114 -> 125*
5.15/1.62	     115 -> 53,1,6
5.15/1.62	     118 -> 103,94
5.15/1.62	     127 -> 157,128,115,1
5.15/1.62	     128 -> 146*
5.15/1.62	     129 -> 84*
5.15/1.62	     135 -> 138*
5.15/1.62	     137 -> 126*
5.15/1.62	     139 -> 151*
5.15/1.62	     140 -> 137,126
5.15/1.62	     147 -> 90*
5.15/1.62	     153 -> 140,137
5.15/1.62	     157 -> 164*
5.15/1.62	     159 -> 23,66
5.15/1.62	     160 -> 172*
5.15/1.62	     161 -> 158*
5.15/1.62	     165 -> 174*
5.15/1.62	     166 -> 159*
5.15/1.62	     173 -> 165*
5.15/1.62	     176 -> 166,66
5.15/1.62	   problem:
5.15/1.62	    
5.15/1.62	   Qed
5.15/1.63	EOF