YES Problem: 1(3(3(x1))) -> 3(5(3(2(5(0(2(4(5(4(x1)))))))))) 0(3(3(3(x1)))) -> 5(4(3(5(3(0(5(4(4(0(x1)))))))))) 0(3(3(3(1(x1))))) -> 5(4(4(0(3(1(0(5(1(0(x1)))))))))) 1(2(3(3(3(x1))))) -> 4(1(1(2(3(5(0(4(0(5(x1)))))))))) 1(4(4(2(2(x1))))) -> 1(1(2(0(1(1(1(0(2(2(x1)))))))))) 0(3(3(1(4(3(x1)))))) -> 4(4(3(0(2(3(0(3(0(0(x1)))))))))) 3(3(3(3(4(0(x1)))))) -> 3(0(0(2(1(0(5(3(5(4(x1)))))))))) 4(0(1(3(4(0(x1)))))) -> 2(2(3(0(0(0(5(0(0(0(x1)))))))))) 4(1(4(4(4(1(x1)))))) -> 4(1(0(3(3(5(5(5(4(1(x1)))))))))) 0(1(3(5(2(2(3(x1))))))) -> 0(3(0(0(5(0(0(4(4(3(x1)))))))))) 0(2(3(1(3(2(5(x1))))))) -> 0(4(3(1(2(3(2(3(2(0(x1)))))))))) 1(1(3(3(5(3(1(x1))))))) -> 3(5(0(5(3(2(5(0(0(1(x1)))))))))) 3(5(2(0(1(3(3(x1))))))) -> 3(4(3(2(3(2(4(4(5(5(x1)))))))))) 4(1(4(2(4(0(1(x1))))))) -> 5(2(2(1(0(5(5(4(5(1(x1)))))))))) 4(5(1(2(4(4(4(x1))))))) -> 4(1(1(4(5(3(0(1(0(4(x1)))))))))) 5(1(4(5(3(3(3(x1))))))) -> 5(1(4(5(3(4(4(2(3(2(x1)))))))))) Proof: String Reversal Processor: 3(3(1(x1))) -> 4(5(4(2(0(5(2(3(5(3(x1)))))))))) 3(3(3(0(x1)))) -> 0(4(4(5(0(3(5(3(4(5(x1)))))))))) 1(3(3(3(0(x1))))) -> 0(1(5(0(1(3(0(4(4(5(x1)))))))))) 3(3(3(2(1(x1))))) -> 5(0(4(0(5(3(2(1(1(4(x1)))))))))) 2(2(4(4(1(x1))))) -> 2(2(0(1(1(1(0(2(1(1(x1)))))))))) 3(4(1(3(3(0(x1)))))) -> 0(0(3(0(3(2(0(3(4(4(x1)))))))))) 0(4(3(3(3(3(x1)))))) -> 4(5(3(5(0(1(2(0(0(3(x1)))))))))) 0(4(3(1(0(4(x1)))))) -> 0(0(0(5(0(0(0(3(2(2(x1)))))))))) 1(4(4(4(1(4(x1)))))) -> 1(4(5(5(5(3(3(0(1(4(x1)))))))))) 3(2(2(5(3(1(0(x1))))))) -> 3(4(4(0(0(5(0(0(3(0(x1)))))))))) 5(2(3(1(3(2(0(x1))))))) -> 0(2(3(2(3(2(1(3(4(0(x1)))))))))) 1(3(5(3(3(1(1(x1))))))) -> 1(0(0(5(2(3(5(0(5(3(x1)))))))))) 3(3(1(0(2(5(3(x1))))))) -> 5(5(4(4(2(3(2(3(4(3(x1)))))))))) 1(0(4(2(4(1(4(x1))))))) -> 1(5(4(5(5(0(1(2(2(5(x1)))))))))) 4(4(4(2(1(5(4(x1))))))) -> 4(0(1(0(3(5(4(1(1(4(x1)))))))))) 3(3(3(5(4(1(5(x1))))))) -> 2(3(2(4(4(3(5(4(1(5(x1)))))))))) Bounds Processor: bound: 0 enrichment: match automaton: final states: {138,131,122,113,105,96,86,78,68,59,50,40,30,22,12,1} transitions: 30(2) -> 3* 30(51) -> 52* 30(24) -> 25* 30(79) -> 80* 30(114) -> 115* 30(95) -> 86* 30(34) -> 35* 30(65) -> 66* 30(70) -> 71* 30(133) -> 134* 30(102) -> 103* 30(80) -> 81* 30(145) -> 146* 30(16) -> 17* 30(14) -> 15* 30(116) -> 117* 30(107) -> 108* 30(56) -> 57* 30(4) -> 5* 30(54) -> 55* 30(141) -> 142* 30(97) -> 98* 30(100) -> 101* 30(87) -> 88* 40(119) -> 120* 40(13) -> 14* 40(31) -> 51* 40(142) -> 143* 40(143) -> 144* 40(20) -> 21* 40(93) -> 94* 40(33) -> 132* 40(137) -> 131* 40(139) -> 140* 40(94) -> 95* 40(118) -> 119* 40(87) -> 97* 40(14) -> 23* 40(84) -> 85* 40(11) -> 1* 40(3) -> 114* 40(37) -> 38* 40(19) -> 20* 40(67) -> 59* 40(128) -> 129* 40(9) -> 10* 40(2) -> 31* 00(7) -> 8* 00(104) -> 96* 00(43) -> 44* 00(75) -> 76* 00(29) -> 22* 00(52) -> 53* 00(3) -> 60* 00(38) -> 39* 00(63) -> 64* 00(57) -> 58* 00(17) -> 18* 00(134) -> 135* 00(23) -> 24* 00(125) -> 126* 00(36) -> 37* 00(92) -> 93* 00(55) -> 56* 00(60) -> 61* 00(91) -> 92* 00(89) -> 90* 00(47) -> 48* 00(76) -> 77* 00(77) -> 68* 00(136) -> 137* 00(4) -> 106* 00(32) -> 79* 00(88) -> 89* 00(110) -> 111* 00(58) -> 50* 00(71) -> 72* 00(26) -> 27* 00(21) -> 12* 00(2) -> 87* 00(111) -> 112* 00(73) -> 74* 00(72) -> 73* 20(103) -> 104* 20(69) -> 70* 20(2) -> 69* 20(117) -> 118* 20(5) -> 6* 20(13) -> 123* 20(42) -> 43* 20(101) -> 102* 20(99) -> 100* 20(108) -> 109* 20(8) -> 9* 20(61) -> 62* 20(123) -> 124* 20(48) -> 49* 20(33) -> 34* 20(144) -> 145* 20(49) -> 40* 20(146) -> 138* 20(53) -> 54* 20(115) -> 116* 50(66) -> 67* 50(39) -> 30* 50(2) -> 13* 50(10) -> 11* 50(74) -> 75* 50(27) -> 28* 50(15) -> 16* 50(127) -> 128* 50(83) -> 84* 50(140) -> 141* 50(121) -> 113* 50(64) -> 65* 50(3) -> 4* 50(82) -> 83* 50(18) -> 19* 50(90) -> 91* 50(109) -> 110* 50(129) -> 130* 50(120) -> 121* 50(6) -> 7* 50(132) -> 133* 50(35) -> 36* 50(81) -> 82* 50(126) -> 127* 50(106) -> 107* 10(112) -> 105* 10(25) -> 26* 10(13) -> 139* 10(44) -> 45* 10(28) -> 29* 10(124) -> 125* 10(41) -> 42* 10(45) -> 46* 10(2) -> 41* 10(85) -> 78* 10(62) -> 63* 10(46) -> 47* 10(32) -> 33* 10(130) -> 122* 10(98) -> 99* 10(135) -> 136* 10(31) -> 32* f60() -> 2* 131 -> 31,51 68 -> 87* 30 -> 3* 113 -> 3* 12 -> 3* 105 -> 41* 22 -> 41* 138 -> 3* 86 -> 3,71 40 -> 69,70 1 -> 3* 59 -> 87* 50 -> 3* 122 -> 41* 96 -> 13* 78 -> 41,32 problem: Qed