YES(?,O(n^1)) 1093.76/297.02 YES(?,O(n^1)) 1093.76/297.02 1093.76/297.02 We are left with following problem, upon which TcT provides the 1093.76/297.02 certificate YES(?,O(n^1)). 1093.76/297.02 1093.76/297.02 Strict Trs: { b(a(b(b(b(b(x1)))))) -> a(b(b(b(b(b(a(x1))))))) } 1093.76/297.02 Obligation: 1093.76/297.02 derivational complexity 1093.76/297.02 Answer: 1093.76/297.02 YES(?,O(n^1)) 1093.76/297.02 1093.76/297.02 The problem is match-bounded by 2. The enriched problem is 1093.76/297.02 compatible with the following automaton. 1093.76/297.02 { b_0(1) -> 1 1093.76/297.02 , b_1(3) -> 2 1093.76/297.02 , b_1(4) -> 3 1093.76/297.02 , b_1(5) -> 4 1093.76/297.02 , b_1(6) -> 5 1093.76/297.02 , b_1(7) -> 6 1093.76/297.02 , b_2(9) -> 8 1093.76/297.02 , b_2(10) -> 9 1093.76/297.02 , b_2(11) -> 10 1093.76/297.02 , b_2(12) -> 11 1093.76/297.02 , b_2(13) -> 12 1093.76/297.02 , b_2(15) -> 14 1093.76/297.02 , b_2(16) -> 15 1093.76/297.02 , b_2(17) -> 16 1093.76/297.02 , b_2(18) -> 17 1093.76/297.02 , b_2(19) -> 18 1093.76/297.02 , b_2(21) -> 20 1093.76/297.02 , b_2(22) -> 21 1093.76/297.02 , b_2(23) -> 22 1093.76/297.02 , b_2(24) -> 23 1093.76/297.02 , b_2(25) -> 24 1093.76/297.02 , b_2(27) -> 26 1093.76/297.02 , b_2(28) -> 27 1093.76/297.02 , b_2(29) -> 28 1093.76/297.02 , b_2(30) -> 29 1093.76/297.02 , b_2(31) -> 30 1093.76/297.02 , a_0(1) -> 1 1093.76/297.02 , a_1(1) -> 7 1093.76/297.02 , a_1(2) -> 1 1093.76/297.02 , a_1(2) -> 6 1093.76/297.02 , a_1(6) -> 7 1093.76/297.02 , a_2(6) -> 13 1093.76/297.02 , a_2(8) -> 5 1093.76/297.02 , a_2(12) -> 19 1093.76/297.02 , a_2(14) -> 4 1093.76/297.02 , a_2(18) -> 25 1093.76/297.02 , a_2(20) -> 3 1093.76/297.02 , a_2(24) -> 31 1093.76/297.02 , a_2(26) -> 2 } 1093.76/297.02 1093.76/297.02 Hurray, we answered YES(?,O(n^1)) 1093.90/297.19 EOF