YES Problem: 0(1(2(x1))) -> 0(2(1(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(2(1(1(3(x1))))) 0(1(2(x1))) -> 0(2(4(1(1(x1))))) 0(1(2(x1))) -> 0(2(4(1(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(1(1(3(x1))))) 0(3(2(x1))) -> 0(0(2(1(1(3(x1)))))) 0(1(1(2(x1)))) -> 0(2(1(1(3(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(3(2(1(x1))))) 0(1(3(2(x1)))) -> 0(2(1(4(3(x1))))) 0(1(3(2(x1)))) -> 3(3(0(2(1(x1))))) 0(1(3(2(x1)))) -> 3(0(2(4(1(1(x1)))))) 0(1(5(2(x1)))) -> 5(0(2(1(1(x1))))) 0(3(2(2(x1)))) -> 0(0(2(3(2(x1))))) 0(3(2(2(x1)))) -> 0(0(4(2(3(2(x1)))))) 2(0(3(2(x1)))) -> 1(3(0(2(2(x1))))) 3(0(3(2(x1)))) -> 3(0(0(0(2(3(x1)))))) 3(1(5(2(x1)))) -> 0(2(1(5(3(x1))))) 3(3(5(2(x1)))) -> 3(0(2(1(5(3(x1)))))) 4(5(2(2(x1)))) -> 2(5(0(2(4(1(x1)))))) 5(0(1(2(x1)))) -> 0(2(1(3(4(5(x1)))))) 5(0(2(2(x1)))) -> 2(0(2(4(1(5(x1)))))) 5(0(3(2(x1)))) -> 3(0(2(1(4(5(x1)))))) 5(1(2(2(x1)))) -> 0(2(1(5(2(1(x1)))))) 5(1(2(2(x1)))) -> 2(1(5(2(1(1(x1)))))) 0(1(2(4(2(x1))))) -> 4(2(1(0(2(1(x1)))))) 0(1(2(5(2(x1))))) -> 2(0(2(1(5(4(x1)))))) 0(1(5(1(2(x1))))) -> 1(0(2(1(1(5(x1)))))) 0(1(5(5(2(x1))))) -> 0(2(1(5(5(1(x1)))))) 0(5(0(1(2(x1))))) -> 0(4(5(0(2(1(x1)))))) 0(5(0(3(2(x1))))) -> 0(5(0(0(2(3(x1)))))) 0(5(5(2(2(x1))))) -> 0(2(1(5(5(2(x1)))))) 3(0(3(1(2(x1))))) -> 1(3(3(0(2(3(x1)))))) 3(0(3(4(2(x1))))) -> 1(3(4(0(2(3(x1)))))) 4(5(1(4(2(x1))))) -> 2(4(4(4(1(5(x1)))))) 5(0(1(3(2(x1))))) -> 3(5(0(2(1(3(x1)))))) 5(0(3(1(2(x1))))) -> 0(2(1(4(3(5(x1)))))) 5(0(4(2(2(x1))))) -> 2(0(2(4(1(5(x1)))))) 5(1(0(3(2(x1))))) -> 0(4(3(5(1(2(x1)))))) 5(1(0(3(2(x1))))) -> 5(3(1(1(0(2(x1)))))) 5(1(0(5(2(x1))))) -> 3(5(5(0(2(1(x1)))))) 5(1(0(5(2(x1))))) -> 5(0(2(1(5(5(x1)))))) 5(2(0(3(2(x1))))) -> 0(2(5(2(3(1(x1)))))) Proof: Bounds Processor: bound: 0 enrichment: match automaton: final states: {145,140,138,133,128,123,121,118,115,112,107,105,102, 97,93,87,84,81,77,73,68,62,57,56,52,47,43,40,35,34, 33,30,26,22,20,19,16,13,10,6,1} transitions: 40(2) -> 88* 40(38) -> 41* 40(131) -> 132* 40(70) -> 119* 40(3) -> 58* 40(103) -> 104* 40(119) -> 120* 40(49) -> 116* 40(7) -> 27* 40(4) -> 14* 40(124) -> 125* 40(69) -> 70* 40(63) -> 64* 40(86) -> 84* 40(8) -> 17* 00(106) -> 105* 00(5) -> 1* 00(59) -> 60* 00(44) -> 45* 00(41) -> 42* 00(143) -> 144* 00(12) -> 10* 00(39) -> 35* 00(75) -> 76* 00(42) -> 40* 00(127) -> 123* 00(101) -> 97* 00(15) -> 13* 00(29) -> 26* 00(111) -> 107* 00(132) -> 128* 00(23) -> 31* 00(38) -> 39* 00(104) -> 102* 00(21) -> 20* 00(25) -> 22* 00(71) -> 72* 00(55) -> 52* 00(36) -> 134* 00(80) -> 77* 00(67) -> 62* 00(95) -> 96* 00(50) -> 51* 00(48) -> 49* 00(49) -> 50* 00(10) -> 19* 00(9) -> 6* 00(91) -> 92* 00(149) -> 145* 00(18) -> 16* 30(122) -> 121* 30(52) -> 56* 30(3) -> 146* 30(130) -> 131* 30(49) -> 113* 30(116) -> 117* 30(63) -> 124* 30(13) -> 33* 30(139) -> 138* 30(64) -> 65* 30(23) -> 24* 30(36) -> 37* 30(76) -> 73* 30(136) -> 137* 30(32) -> 30* 30(51) -> 47* 30(113) -> 114* 30(45) -> 46* 30(31) -> 32* 30(2) -> 7* 10(69) -> 94* 10(2) -> 3* 10(36) -> 129* 10(117) -> 115* 10(63) -> 69* 10(109) -> 110* 10(96) -> 93* 10(27) -> 28* 10(99) -> 100* 10(82) -> 83* 10(64) -> 74* 10(114) -> 112* 10(89) -> 90* 10(134) -> 135* 10(135) -> 136* 10(8) -> 11* 10(125) -> 126* 10(7) -> 8* 10(3) -> 4* 10(141) -> 142* 10(78) -> 79* 10(46) -> 43* 10(53) -> 54* 10(65) -> 66* 10(31) -> 85* 20(66) -> 67* 20(24) -> 25* 20(4) -> 5* 20(2) -> 36* 20(17) -> 18* 20(5) -> 21* 20(74) -> 75* 20(83) -> 81* 20(72) -> 68* 20(61) -> 57* 20(94) -> 95* 20(146) -> 147* 20(54) -> 55* 20(3) -> 23* 20(28) -> 29* 20(36) -> 44* 20(90) -> 91* 20(92) -> 87* 20(120) -> 118* 20(110) -> 111* 20(79) -> 80* 20(11) -> 12* 20(8) -> 9* 20(58) -> 59* 20(7) -> 48* 20(85) -> 86* 20(142) -> 143* 20(37) -> 38* 20(14) -> 15* 20(70) -> 71* 20(100) -> 101* 20(148) -> 149* 20(126) -> 127* 50(108) -> 109* 50(103) -> 139* 50(1) -> 34* 50(129) -> 130* 50(36) -> 108* 50(3) -> 98* 50(2) -> 63* 50(63) -> 141* 50(144) -> 140* 50(6) -> 122* 50(5) -> 82* 50(50) -> 106* 50(23) -> 78* 50(7) -> 53* 50(98) -> 99* 50(88) -> 89* 50(137) -> 133* 50(60) -> 61* 50(147) -> 148* 50(31) -> 103* f60() -> 2* 56 -> 7* 43 -> 36* 68 -> 63* 47 -> 7* 115 -> 7* 140 -> 63,98 77 -> 63,98,130 112 -> 7* 118 -> 88,64 52 -> 7,146 121 -> 63* 138 -> 63,98 73 -> 63* 123 -> 63* 62 -> 63* 57 -> 88,64 133 -> 63,98 145 -> 63,108 81 -> 63,98,130 128 -> 63,98 problem: Qed