4.64/1.51 YES 4.64/1.51 4.64/1.51 Problem: 4.64/1.51 a(b(a(a(b(x1))))) -> c(c(c(c(a(x1))))) 4.64/1.51 c(x1) -> b(a(a(b(x1)))) 4.64/1.51 4.64/1.51 Proof: 4.64/1.51 Bounds Processor: 4.64/1.51 bound: 3 4.64/1.51 enrichment: match 4.64/1.51 automaton: 4.64/1.51 final states: {7,1} 4.64/1.51 transitions: 4.64/1.51 b1(49) -> 50* 4.64/1.51 b1(34) -> 35* 4.64/1.51 b1(29) -> 30* 4.64/1.51 b1(14) -> 15* 4.64/1.51 b1(46) -> 47* 4.64/1.51 b1(31) -> 32* 4.64/1.51 b1(26) -> 27* 4.64/1.51 b1(11) -> 12* 4.64/1.51 a1(47) -> 48* 4.64/1.51 a1(32) -> 33* 4.64/1.51 a1(27) -> 28* 4.64/1.51 a1(12) -> 13* 4.64/1.51 a1(48) -> 49* 4.64/1.51 a1(33) -> 34* 4.64/1.51 a1(28) -> 29* 4.64/1.51 a1(13) -> 14* 4.64/1.51 c2(65) -> 66* 4.64/1.51 c2(60) -> 61* 4.64/1.51 c2(177) -> 178* 4.64/1.51 c2(117) -> 118* 4.64/1.51 c2(67) -> 68* 4.64/1.51 c2(174) -> 175* 4.64/1.51 c2(119) -> 120* 4.64/1.51 c2(64) -> 65* 4.64/1.51 c2(59) -> 60* 4.64/1.51 c2(176) -> 177* 4.64/1.51 c2(116) -> 117* 4.64/1.51 c2(66) -> 67* 4.64/1.51 c2(61) -> 62* 4.64/1.51 c2(118) -> 119* 4.64/1.51 c2(58) -> 59* 4.64/1.51 c2(175) -> 176* 4.64/1.51 a2(57) -> 58* 4.64/1.51 a2(173) -> 174* 4.64/1.51 a2(63) -> 64* 4.64/1.51 a2(115) -> 116* 4.64/1.51 b3(80) -> 81* 4.64/1.51 b3(247) -> 248* 4.64/1.51 b3(232) -> 233* 4.64/1.51 b3(227) -> 228* 4.64/1.51 b3(212) -> 213* 4.64/1.51 b3(207) -> 208* 4.64/1.51 b3(202) -> 203* 4.64/1.51 b3(197) -> 198* 4.64/1.51 b3(182) -> 183* 4.64/1.51 b3(157) -> 158* 4.64/1.51 b3(147) -> 148* 4.64/1.51 b3(137) -> 138* 4.64/1.51 b3(132) -> 133* 4.64/1.51 b3(244) -> 245* 4.64/1.51 b3(229) -> 230* 4.64/1.51 b3(224) -> 225* 4.64/1.51 b3(209) -> 210* 4.64/1.51 b3(204) -> 205* 4.64/1.51 b3(199) -> 200* 4.64/1.51 b3(194) -> 195* 4.64/1.51 b3(179) -> 180* 4.64/1.51 b3(113) -> 114* 4.64/1.51 b3(103) -> 104* 4.64/1.51 b3(88) -> 89* 4.64/1.51 b3(83) -> 84* 4.64/1.51 b3(160) -> 161* 4.64/1.51 b3(150) -> 151* 4.64/1.51 b3(140) -> 141* 4.64/1.51 b3(135) -> 136* 4.64/1.51 b3(110) -> 111* 4.64/1.51 b3(100) -> 101* 4.64/1.51 b3(85) -> 86* 4.64/1.51 f30() -> 2* 4.64/1.51 a3(112) -> 113* 4.64/1.51 a3(102) -> 103* 4.64/1.51 a3(87) -> 88* 4.64/1.51 a3(82) -> 83* 4.64/1.51 a3(159) -> 160* 4.64/1.51 a3(149) -> 150* 4.64/1.51 a3(139) -> 140* 4.64/1.51 a3(134) -> 135* 4.64/1.51 a3(246) -> 247* 4.64/1.51 a3(231) -> 232* 4.64/1.51 a3(226) -> 227* 4.64/1.51 a3(211) -> 212* 4.64/1.51 a3(206) -> 207* 4.64/1.51 a3(201) -> 202* 4.64/1.51 a3(196) -> 197* 4.64/1.51 a3(181) -> 182* 4.64/1.51 a3(111) -> 112* 4.64/1.51 a3(101) -> 102* 4.64/1.51 a3(86) -> 87* 4.64/1.51 a3(81) -> 82* 4.64/1.51 a3(158) -> 159* 4.64/1.51 a3(148) -> 149* 4.64/1.51 a3(138) -> 139* 4.64/1.51 a3(133) -> 134* 4.64/1.51 a3(245) -> 246* 4.64/1.51 a3(230) -> 231* 4.64/1.51 a3(225) -> 226* 4.64/1.51 a3(210) -> 211* 4.64/1.51 a3(205) -> 206* 4.64/1.51 a3(200) -> 201* 4.64/1.51 a3(195) -> 196* 4.64/1.51 a3(180) -> 181* 4.64/1.51 c0(5) -> 6* 4.64/1.51 c0(4) -> 5* 4.64/1.51 c0(6) -> 1* 4.64/1.51 c0(3) -> 4* 4.64/1.51 a0(2) -> 3* 4.64/1.51 a0(9) -> 10* 4.64/1.51 a0(8) -> 9* 4.64/1.51 b0(10) -> 7* 4.64/1.51 b0(2) -> 8* 4.64/1.51 1 -> 246,3,26,9,28 4.64/1.51 3 -> 26* 4.64/1.51 4 -> 11* 4.64/1.51 5 -> 46* 4.64/1.51 6 -> 31* 4.64/1.51 11 -> 115* 4.64/1.51 15 -> 5* 4.64/1.51 26 -> 173* 4.64/1.51 30 -> 4* 4.64/1.51 31 -> 57* 4.64/1.51 35 -> 1* 4.64/1.51 46 -> 63* 4.64/1.51 50 -> 6* 4.64/1.51 58 -> 100* 4.64/1.51 59 -> 80* 4.64/1.51 60 -> 110* 4.64/1.51 61 -> 85* 4.64/1.51 62 -> 247,174,244,10,29 4.64/1.51 64 -> 137* 4.64/1.51 65 -> 157* 4.64/1.51 66 -> 147* 4.64/1.51 67 -> 132* 4.64/1.51 68 -> 58* 4.64/1.51 84 -> 60* 4.64/1.51 89 -> 62,29 4.64/1.51 104 -> 59* 4.64/1.51 114 -> 61* 4.64/1.51 116 -> 199* 4.64/1.51 117 -> 204* 4.64/1.51 118 -> 194* 4.64/1.51 119 -> 179* 4.64/1.51 120 -> 64* 4.64/1.51 136 -> 68,58,100 4.64/1.51 141 -> 65* 4.64/1.51 151 -> 67* 4.64/1.51 161 -> 66* 4.64/1.51 174 -> 244* 4.64/1.51 175 -> 229* 4.64/1.51 176 -> 224* 4.64/1.51 177 -> 209* 4.64/1.51 178 -> 116* 4.64/1.51 183 -> 120* 4.64/1.51 198 -> 119* 4.64/1.51 203 -> 117* 4.64/1.51 208 -> 118* 4.64/1.51 213 -> 178,116,199 4.64/1.51 228 -> 177* 4.64/1.51 233 -> 176* 4.64/1.51 248 -> 175* 4.64/1.51 problem: 4.64/1.51 4.64/1.51 Qed 4.64/1.52 EOF