YES(?,O(n^1)) 1157.27/297.02 YES(?,O(n^1)) 1157.27/297.02 1157.27/297.02 We are left with following problem, upon which TcT provides the 1157.27/297.02 certificate YES(?,O(n^1)). 1157.27/297.02 1157.27/297.02 Strict Trs: 1157.27/297.02 { c(a(b(a(b(x1))))) -> a(b(a(b(b(a(b(b(c(a(b(c(a(x1))))))))))))) } 1157.27/297.02 Obligation: 1157.27/297.02 derivational complexity 1157.27/297.02 Answer: 1157.27/297.02 YES(?,O(n^1)) 1157.27/297.02 1157.27/297.02 The problem is match-bounded by 3. The enriched problem is 1157.27/297.02 compatible with the following automaton. 1157.27/297.02 { c_0(1) -> 1 1157.27/297.02 , c_1(10) -> 9 1157.27/297.02 , c_1(13) -> 12 1157.27/297.02 , c_2(22) -> 21 1157.27/297.02 , c_2(25) -> 24 1157.27/297.02 , c_2(34) -> 33 1157.27/297.02 , c_2(37) -> 36 1157.27/297.02 , c_2(46) -> 45 1157.27/297.02 , c_2(49) -> 48 1157.27/297.02 , c_3(58) -> 57 1157.27/297.02 , c_3(61) -> 60 1157.27/297.02 , a_0(1) -> 1 1157.27/297.02 , a_1(1) -> 13 1157.27/297.02 , a_1(2) -> 1 1157.27/297.02 , a_1(2) -> 12 1157.27/297.02 , a_1(3) -> 13 1157.27/297.02 , a_1(4) -> 3 1157.27/297.02 , a_1(5) -> 13 1157.27/297.02 , a_1(7) -> 6 1157.27/297.02 , a_1(11) -> 10 1157.27/297.02 , a_2(3) -> 25 1157.27/297.02 , a_2(8) -> 37 1157.27/297.02 , a_2(14) -> 9 1157.27/297.02 , a_2(15) -> 49 1157.27/297.02 , a_2(16) -> 15 1157.27/297.02 , a_2(19) -> 18 1157.27/297.02 , a_2(23) -> 22 1157.27/297.02 , a_2(26) -> 12 1157.27/297.02 , a_2(27) -> 25 1157.27/297.02 , a_2(28) -> 27 1157.27/297.02 , a_2(31) -> 30 1157.27/297.02 , a_2(35) -> 34 1157.27/297.02 , a_2(38) -> 36 1157.27/297.02 , a_2(40) -> 39 1157.27/297.02 , a_2(43) -> 42 1157.27/297.02 , a_2(47) -> 46 1157.27/297.02 , a_3(39) -> 61 1157.27/297.02 , a_3(50) -> 33 1157.27/297.02 , a_3(52) -> 51 1157.27/297.02 , a_3(55) -> 54 1157.27/297.02 , a_3(59) -> 58 1157.27/297.02 , b_0(1) -> 1 1157.27/297.02 , b_1(3) -> 2 1157.27/297.02 , b_1(5) -> 4 1157.27/297.02 , b_1(6) -> 5 1157.27/297.02 , b_1(8) -> 7 1157.27/297.02 , b_1(9) -> 8 1157.27/297.02 , b_1(12) -> 11 1157.27/297.02 , b_2(15) -> 14 1157.27/297.02 , b_2(17) -> 16 1157.27/297.02 , b_2(18) -> 17 1157.27/297.02 , b_2(20) -> 19 1157.27/297.02 , b_2(21) -> 20 1157.27/297.02 , b_2(24) -> 23 1157.27/297.02 , b_2(27) -> 26 1157.27/297.02 , b_2(29) -> 28 1157.27/297.02 , b_2(30) -> 29 1157.27/297.02 , b_2(32) -> 31 1157.27/297.02 , b_2(33) -> 32 1157.27/297.02 , b_2(36) -> 35 1157.27/297.02 , b_2(39) -> 38 1157.27/297.02 , b_2(41) -> 40 1157.27/297.02 , b_2(42) -> 41 1157.27/297.02 , b_2(44) -> 43 1157.27/297.02 , b_2(45) -> 44 1157.27/297.02 , b_2(48) -> 47 1157.27/297.02 , b_3(51) -> 50 1157.27/297.02 , b_3(53) -> 52 1157.27/297.02 , b_3(54) -> 53 1157.27/297.02 , b_3(56) -> 55 1157.27/297.02 , b_3(57) -> 56 1157.27/297.02 , b_3(60) -> 59 } 1157.27/297.02 1157.27/297.02 Hurray, we answered YES(?,O(n^1)) 1157.82/297.59 EOF