YES(?,O(n^1)) 1176.76/297.04 YES(?,O(n^1)) 1176.76/297.04 1176.76/297.04 We are left with following problem, upon which TcT provides the 1176.76/297.04 certificate YES(?,O(n^1)). 1176.76/297.04 1176.76/297.04 Strict Trs: { c(b(a(a(x1)))) -> a(a(b(a(a(b(c(b(a(c(x1)))))))))) } 1176.76/297.04 Obligation: 1176.76/297.04 derivational complexity 1176.76/297.04 Answer: 1176.76/297.04 YES(?,O(n^1)) 1176.76/297.04 1176.76/297.04 The problem is match-bounded by 3. The enriched problem is 1176.76/297.04 compatible with the following automaton. 1176.76/297.04 { c_0(1) -> 1 1176.76/297.04 , c_1(1) -> 10 1176.76/297.04 , c_1(2) -> 10 1176.76/297.04 , c_1(3) -> 10 1176.76/297.04 , c_1(8) -> 7 1176.76/297.04 , c_2(2) -> 19 1176.76/297.04 , c_2(6) -> 28 1176.76/297.04 , c_2(12) -> 37 1176.76/297.04 , c_2(17) -> 16 1176.76/297.04 , c_2(20) -> 19 1176.76/297.04 , c_2(26) -> 25 1176.76/297.04 , c_2(35) -> 34 1176.76/297.04 , c_3(15) -> 46 1176.76/297.04 , c_3(29) -> 55 1176.76/297.04 , c_3(38) -> 64 1176.76/297.04 , c_3(44) -> 43 1176.76/297.04 , c_3(53) -> 52 1176.76/297.04 , c_3(62) -> 61 1176.76/297.04 , b_0(1) -> 1 1176.76/297.04 , b_1(4) -> 3 1176.76/297.04 , b_1(7) -> 6 1176.76/297.04 , b_1(9) -> 8 1176.76/297.04 , b_2(13) -> 12 1176.76/297.04 , b_2(16) -> 15 1176.76/297.04 , b_2(18) -> 17 1176.76/297.04 , b_2(22) -> 21 1176.76/297.04 , b_2(25) -> 24 1176.76/297.04 , b_2(27) -> 26 1176.76/297.04 , b_2(31) -> 30 1176.76/297.04 , b_2(34) -> 33 1176.76/297.04 , b_2(36) -> 35 1176.76/297.04 , b_3(40) -> 39 1176.76/297.04 , b_3(43) -> 42 1176.76/297.04 , b_3(45) -> 44 1176.76/297.04 , b_3(49) -> 48 1176.76/297.04 , b_3(52) -> 51 1176.76/297.04 , b_3(54) -> 53 1176.76/297.04 , b_3(58) -> 57 1176.76/297.04 , b_3(61) -> 60 1176.76/297.04 , b_3(63) -> 62 1176.76/297.04 , a_0(1) -> 1 1176.76/297.04 , a_1(2) -> 1 1176.76/297.04 , a_1(2) -> 10 1176.76/297.04 , a_1(3) -> 2 1176.76/297.04 , a_1(5) -> 4 1176.76/297.04 , a_1(6) -> 5 1176.76/297.04 , a_1(10) -> 9 1176.76/297.04 , a_2(11) -> 7 1176.76/297.04 , a_2(12) -> 11 1176.76/297.04 , a_2(14) -> 13 1176.76/297.04 , a_2(15) -> 14 1176.76/297.04 , a_2(19) -> 18 1176.76/297.04 , a_2(20) -> 10 1176.76/297.04 , a_2(21) -> 20 1176.76/297.04 , a_2(23) -> 22 1176.76/297.04 , a_2(24) -> 23 1176.76/297.04 , a_2(28) -> 27 1176.76/297.04 , a_2(29) -> 28 1176.76/297.04 , a_2(30) -> 29 1176.76/297.04 , a_2(32) -> 31 1176.76/297.04 , a_2(33) -> 32 1176.76/297.04 , a_2(37) -> 36 1176.76/297.04 , a_3(38) -> 37 1176.76/297.04 , a_3(39) -> 38 1176.76/297.04 , a_3(41) -> 40 1176.76/297.04 , a_3(42) -> 41 1176.76/297.04 , a_3(46) -> 45 1176.76/297.04 , a_3(47) -> 25 1176.76/297.04 , a_3(48) -> 47 1176.76/297.04 , a_3(50) -> 49 1176.76/297.04 , a_3(51) -> 50 1176.76/297.04 , a_3(55) -> 54 1176.76/297.04 , a_3(56) -> 34 1176.76/297.04 , a_3(57) -> 56 1176.76/297.04 , a_3(59) -> 58 1176.76/297.04 , a_3(60) -> 59 1176.76/297.04 , a_3(64) -> 63 } 1176.76/297.04 1176.76/297.04 Hurray, we answered YES(?,O(n^1)) 1177.56/297.73 EOF