YES(?,O(n^1)) 1179.16/297.04 YES(?,O(n^1)) 1179.16/297.04 1179.16/297.04 We are left with following problem, upon which TcT provides the 1179.16/297.04 certificate YES(?,O(n^1)). 1179.16/297.04 1179.16/297.04 Strict Trs: 1179.16/297.04 { b(a(a(b(a(b(a(x1))))))) -> a(a(b(a(b(b(a(a(b(x1))))))))) } 1179.16/297.04 Obligation: 1179.16/297.04 derivational complexity 1179.16/297.04 Answer: 1179.16/297.04 YES(?,O(n^1)) 1179.16/297.04 1179.16/297.04 The problem is match-bounded by 4. The enriched problem is 1179.16/297.04 compatible with the following automaton. 1179.16/297.04 { b_0(1) -> 1 1179.16/297.04 , b_1(1) -> 9 1179.16/297.04 , b_1(2) -> 9 1179.16/297.04 , b_1(4) -> 3 1179.16/297.04 , b_1(6) -> 5 1179.16/297.04 , b_1(7) -> 6 1179.16/297.04 , b_1(18) -> 9 1179.16/297.04 , b_2(2) -> 17 1179.16/297.04 , b_2(5) -> 25 1179.16/297.04 , b_2(12) -> 11 1179.16/297.04 , b_2(14) -> 13 1179.16/297.04 , b_2(15) -> 14 1179.16/297.04 , b_2(18) -> 17 1179.16/297.04 , b_2(20) -> 19 1179.16/297.04 , b_2(21) -> 25 1179.16/297.04 , b_2(22) -> 21 1179.16/297.04 , b_2(23) -> 22 1179.16/297.04 , b_3(18) -> 33 1179.16/297.04 , b_3(21) -> 41 1179.16/297.04 , b_3(28) -> 27 1179.16/297.04 , b_3(30) -> 29 1179.16/297.04 , b_3(31) -> 30 1179.16/297.04 , b_3(34) -> 33 1179.16/297.04 , b_3(36) -> 35 1179.16/297.04 , b_3(38) -> 37 1179.16/297.04 , b_3(39) -> 38 1179.16/297.04 , b_4(37) -> 49 1179.16/297.04 , b_4(44) -> 43 1179.16/297.04 , b_4(46) -> 45 1179.16/297.04 , b_4(47) -> 46 1179.16/297.04 , a_0(1) -> 1 1179.16/297.04 , a_1(2) -> 1 1179.16/297.04 , a_1(2) -> 6 1179.16/297.04 , a_1(2) -> 9 1179.16/297.04 , a_1(3) -> 2 1179.16/297.04 , a_1(5) -> 4 1179.16/297.04 , a_1(8) -> 7 1179.16/297.04 , a_1(9) -> 8 1179.16/297.04 , a_2(10) -> 5 1179.16/297.04 , a_2(10) -> 9 1179.16/297.04 , a_2(11) -> 10 1179.16/297.04 , a_2(13) -> 12 1179.16/297.04 , a_2(16) -> 15 1179.16/297.04 , a_2(17) -> 16 1179.16/297.04 , a_2(18) -> 6 1179.16/297.04 , a_2(18) -> 14 1179.16/297.04 , a_2(19) -> 18 1179.16/297.04 , a_2(21) -> 20 1179.16/297.04 , a_2(24) -> 23 1179.16/297.04 , a_2(25) -> 24 1179.16/297.04 , a_3(26) -> 25 1179.16/297.04 , a_3(27) -> 26 1179.16/297.04 , a_3(29) -> 28 1179.16/297.04 , a_3(32) -> 31 1179.16/297.04 , a_3(33) -> 32 1179.16/297.04 , a_3(34) -> 14 1179.16/297.04 , a_3(34) -> 30 1179.16/297.04 , a_3(35) -> 34 1179.16/297.04 , a_3(37) -> 36 1179.16/297.04 , a_3(40) -> 39 1179.16/297.04 , a_3(41) -> 40 1179.16/297.04 , a_4(42) -> 30 1179.16/297.04 , a_4(43) -> 42 1179.16/297.04 , a_4(45) -> 44 1179.16/297.04 , a_4(48) -> 47 1179.16/297.04 , a_4(49) -> 48 } 1179.16/297.04 1179.16/297.04 Hurray, we answered YES(?,O(n^1)) 1179.85/297.65 EOF