YES(?,O(n^1)) 1079.86/297.02 YES(?,O(n^1)) 1079.86/297.02 1079.86/297.02 We are left with following problem, upon which TcT provides the 1079.86/297.02 certificate YES(?,O(n^1)). 1079.86/297.02 1079.86/297.02 Strict Trs: { b(a(b(a(b(b(x1)))))) -> a(b(a(b(b(b(a(x1))))))) } 1079.86/297.02 Obligation: 1079.86/297.02 derivational complexity 1079.86/297.02 Answer: 1079.86/297.02 YES(?,O(n^1)) 1079.86/297.02 1079.86/297.02 The problem is match-bounded by 3. The enriched problem is 1079.86/297.02 compatible with the following automaton. 1079.86/297.02 { b_0(1) -> 1 1079.86/297.02 , b_1(3) -> 2 1079.86/297.02 , b_1(5) -> 4 1079.86/297.02 , b_1(6) -> 5 1079.86/297.02 , b_1(7) -> 6 1079.86/297.02 , b_2(9) -> 8 1079.86/297.02 , b_2(11) -> 10 1079.86/297.02 , b_2(12) -> 11 1079.86/297.02 , b_2(13) -> 12 1079.86/297.02 , b_2(15) -> 14 1079.86/297.02 , b_2(17) -> 16 1079.86/297.02 , b_2(18) -> 17 1079.86/297.02 , b_2(19) -> 18 1079.86/297.02 , b_3(21) -> 20 1079.86/297.02 , b_3(23) -> 22 1079.86/297.02 , b_3(24) -> 23 1079.86/297.02 , b_3(25) -> 24 1079.86/297.02 , a_0(1) -> 1 1079.86/297.02 , a_1(1) -> 7 1079.86/297.02 , a_1(2) -> 1 1079.86/297.02 , a_1(2) -> 6 1079.86/297.02 , a_1(2) -> 12 1079.86/297.02 , a_1(4) -> 3 1079.86/297.02 , a_1(6) -> 7 1079.86/297.02 , a_2(6) -> 13 1079.86/297.02 , a_2(8) -> 5 1079.86/297.02 , a_2(8) -> 11 1079.86/297.02 , a_2(10) -> 9 1079.86/297.02 , a_2(12) -> 19 1079.86/297.02 , a_2(14) -> 4 1079.86/297.02 , a_2(16) -> 15 1079.86/297.02 , a_3(12) -> 25 1079.86/297.02 , a_3(20) -> 10 1079.86/297.02 , a_3(22) -> 21 } 1079.86/297.02 1079.86/297.02 Hurray, we answered YES(?,O(n^1)) 1079.98/297.17 EOF