6.98/2.11 YES 6.98/2.12 6.98/2.12 Problem: 6.98/2.12 a(b(a(a(a(b(x1)))))) -> c(c(a(x1))) 6.98/2.12 c(x1) -> b(a(a(a(b(x1))))) 6.98/2.12 6.98/2.12 Proof: 6.98/2.12 Bounds Processor: 6.98/2.12 bound: 5 6.98/2.12 enrichment: match 6.98/2.12 automaton: 6.98/2.12 final states: {5,1} 6.98/2.12 transitions: 6.98/2.12 a4(234) -> 235* 6.98/2.12 a4(174) -> 175* 6.98/2.12 a4(159) -> 160* 6.98/2.12 a4(154) -> 155* 6.98/2.12 a4(226) -> 227* 6.98/2.12 a4(161) -> 162* 6.98/2.12 a4(153) -> 154* 6.98/2.12 a4(138) -> 139* 6.98/2.12 a4(160) -> 161* 6.98/2.12 a4(155) -> 156* 6.98/2.12 b1(10) -> 11* 6.98/2.12 b1(32) -> 33* 6.98/2.12 b1(14) -> 15* 6.98/2.12 b1(28) -> 29* 6.98/2.12 c4(227) -> 228* 6.98/2.12 c4(139) -> 140* 6.98/2.12 c4(236) -> 237* 6.98/2.12 c4(176) -> 177* 6.98/2.12 c4(228) -> 229* 6.98/2.12 c4(235) -> 236* 6.98/2.12 c4(175) -> 176* 6.98/2.12 c4(140) -> 141* 6.98/2.12 a1(30) -> 31* 6.98/2.12 a1(12) -> 13* 6.98/2.12 a1(29) -> 30* 6.98/2.12 a1(31) -> 32* 6.98/2.12 a1(11) -> 12* 6.98/2.12 a1(13) -> 14* 6.98/2.12 b5(272) -> 273* 6.98/2.12 b5(252) -> 253* 6.98/2.12 b5(242) -> 243* 6.98/2.12 b5(212) -> 213* 6.98/2.12 b5(202) -> 203* 6.98/2.12 b5(182) -> 183* 6.98/2.12 b5(276) -> 277* 6.98/2.12 b5(266) -> 267* 6.98/2.12 b5(206) -> 207* 6.98/2.12 b5(196) -> 197* 6.98/2.12 b5(248) -> 249* 6.98/2.12 b5(238) -> 239* 6.98/2.12 b5(208) -> 209* 6.98/2.12 b5(178) -> 179* 6.98/2.12 b5(270) -> 271* 6.98/2.12 b5(200) -> 201* 6.98/2.12 c2(40) -> 41* 6.98/2.12 c2(79) -> 80* 6.98/2.12 c2(44) -> 45* 6.98/2.12 c2(39) -> 40* 6.98/2.12 c2(43) -> 44* 6.98/2.12 c2(80) -> 81* 6.98/2.12 a5(267) -> 268* 6.98/2.12 a5(197) -> 198* 6.98/2.12 a5(274) -> 275* 6.98/2.12 a5(269) -> 270* 6.98/2.12 a5(249) -> 250* 6.98/2.12 a5(239) -> 240* 6.98/2.12 a5(209) -> 210* 6.98/2.12 a5(204) -> 205* 6.98/2.12 a5(199) -> 200* 6.98/2.12 a5(179) -> 180* 6.98/2.12 a5(251) -> 252* 6.98/2.12 a5(241) -> 242* 6.98/2.12 a5(211) -> 212* 6.98/2.12 a5(181) -> 182* 6.98/2.12 a5(273) -> 274* 6.98/2.12 a5(268) -> 269* 6.98/2.12 a5(203) -> 204* 6.98/2.12 a5(198) -> 199* 6.98/2.12 a5(275) -> 276* 6.98/2.12 a5(250) -> 251* 6.98/2.12 a5(240) -> 241* 6.98/2.12 a5(210) -> 211* 6.98/2.12 a5(205) -> 206* 6.98/2.12 a5(180) -> 181* 6.98/2.12 a2(42) -> 43* 6.98/2.12 a2(78) -> 79* 6.98/2.12 a2(38) -> 39* 6.98/2.12 b3(60) -> 61* 6.98/2.12 b3(132) -> 133* 6.98/2.12 b3(62) -> 63* 6.98/2.12 b3(124) -> 125* 6.98/2.12 b3(104) -> 105* 6.98/2.12 b3(94) -> 95* 6.98/2.12 b3(136) -> 137* 6.98/2.12 b3(66) -> 67* 6.98/2.12 b3(56) -> 57* 6.98/2.12 b3(98) -> 99* 6.98/2.12 b3(120) -> 121* 6.98/2.12 b3(100) -> 101* 6.98/2.12 f30() -> 2* 6.98/2.12 a3(65) -> 66* 6.98/2.12 a3(122) -> 123* 6.98/2.12 a3(102) -> 103* 6.98/2.12 a3(97) -> 98* 6.98/2.12 a3(57) -> 58* 6.98/2.12 a3(134) -> 135* 6.98/2.12 a3(64) -> 65* 6.98/2.12 a3(59) -> 60* 6.98/2.12 a3(121) -> 122* 6.98/2.12 a3(116) -> 117* 6.98/2.12 a3(101) -> 102* 6.98/2.12 a3(96) -> 97* 6.98/2.12 a3(133) -> 134* 6.98/2.12 a3(123) -> 124* 6.98/2.12 a3(103) -> 104* 6.98/2.12 a3(63) -> 64* 6.98/2.12 a3(58) -> 59* 6.98/2.12 a3(135) -> 136* 6.98/2.12 a3(95) -> 96* 6.98/2.12 c0(4) -> 1* 6.98/2.12 c0(3) -> 4* 6.98/2.12 c3(117) -> 118* 6.98/2.12 c3(118) -> 119* 6.98/2.12 a0(7) -> 8* 6.98/2.12 a0(2) -> 3* 6.98/2.12 a0(6) -> 7* 6.98/2.12 a0(8) -> 9* 6.98/2.12 b4(162) -> 163* 6.98/2.12 b4(152) -> 153* 6.98/2.12 b4(156) -> 157* 6.98/2.12 b4(158) -> 159* 6.98/2.12 b0(2) -> 6* 6.98/2.12 b0(9) -> 5* 6.98/2.12 1 -> 102,210,3,10,7,12 6.98/2.12 3 -> 10* 6.98/2.12 4 -> 28* 6.98/2.12 10 -> 42* 6.98/2.12 15 -> 4* 6.98/2.12 28 -> 38* 6.98/2.12 33 -> 1* 6.98/2.12 39 -> 62* 6.98/2.12 40 -> 56* 6.98/2.12 41 -> 103,211,43,100,174,8,13 6.98/2.12 43 -> 100* 6.98/2.12 44 -> 94* 6.98/2.12 45 -> 39* 6.98/2.12 56 -> 226,78 6.98/2.12 61 -> 41,13 6.98/2.12 62 -> 234,116 6.98/2.12 67 -> 40* 6.98/2.12 79 -> 120* 6.98/2.12 80 -> 132* 6.98/2.12 81 -> 9,14 6.98/2.12 94 -> 138* 6.98/2.12 99 -> 45* 6.98/2.12 100 -> 174* 6.98/2.12 105 -> 44* 6.98/2.12 117 -> 158* 6.98/2.12 118 -> 152* 6.98/2.12 119 -> 79* 6.98/2.12 125 -> 80* 6.98/2.12 137 -> 81* 6.98/2.12 139 -> 196* 6.98/2.12 140 -> 178* 6.98/2.12 141 -> 235,117 6.98/2.12 157 -> 119* 6.98/2.12 163 -> 118* 6.98/2.12 175 -> 208* 6.98/2.12 176 -> 202* 6.98/2.12 177 -> 139* 6.98/2.12 183 -> 141* 6.98/2.12 201 -> 140* 6.98/2.12 207 -> 177* 6.98/2.12 213 -> 176* 6.98/2.12 227 -> 248* 6.98/2.12 228 -> 238* 6.98/2.12 229 -> 104,212,175,208 6.98/2.12 235 -> 272* 6.98/2.12 236 -> 266* 6.98/2.12 237 -> 227* 6.98/2.12 243 -> 229,175 6.98/2.12 253 -> 228* 6.98/2.12 271 -> 237,227,248 6.98/2.12 277 -> 236* 6.98/2.12 problem: 6.98/2.12 6.98/2.12 Qed 6.98/2.12 EOF