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