YES(?,O(n^1)) 377.29/181.26 YES(?,O(n^1)) 377.29/181.26 377.29/181.26 We are left with following problem, upon which TcT provides the 377.29/181.26 certificate YES(?,O(n^1)). 377.29/181.26 377.29/181.26 Strict Trs: 377.29/181.26 { 0(1(2(3(4(x1))))) -> 0(2(3(1(4(x1))))) 377.29/181.26 , 0(5(1(2(3(4(x1)))))) -> 0(1(2(5(3(4(x1)))))) 377.29/181.26 , 0(5(1(2(3(4(x1)))))) -> 0(5(2(1(3(4(x1)))))) 377.29/181.26 , 0(5(1(2(3(4(x1)))))) -> 5(0(2(3(1(4(x1)))))) 377.29/181.26 , 0(5(2(3(1(4(x1)))))) -> 0(1(5(2(3(4(x1)))))) } 377.29/181.26 Obligation: 377.29/181.26 derivational complexity 377.29/181.26 Answer: 377.29/181.26 YES(?,O(n^1)) 377.29/181.26 377.29/181.26 The problem is match-bounded by 1. The enriched problem is 377.29/181.26 compatible with the following automaton. 377.29/181.26 { 0_0(1) -> 1 377.29/181.26 , 0_0(2) -> 1 377.29/181.26 , 0_0(3) -> 1 377.29/181.26 , 0_0(4) -> 1 377.29/181.26 , 0_0(5) -> 1 377.29/181.26 , 0_0(6) -> 1 377.29/181.26 , 0_1(7) -> 1 377.29/181.26 , 1_0(1) -> 2 377.29/181.26 , 1_0(2) -> 2 377.29/181.26 , 1_0(3) -> 2 377.29/181.26 , 1_0(4) -> 2 377.29/181.26 , 1_0(5) -> 2 377.29/181.26 , 1_0(6) -> 2 377.29/181.26 , 1_1(10) -> 9 377.29/181.26 , 1_1(11) -> 7 377.29/181.26 , 1_1(13) -> 15 377.29/181.26 , 2_0(1) -> 3 377.29/181.26 , 2_0(2) -> 3 377.29/181.26 , 2_0(3) -> 3 377.29/181.26 , 2_0(4) -> 3 377.29/181.26 , 2_0(5) -> 3 377.29/181.26 , 2_0(6) -> 3 377.29/181.26 , 2_1(8) -> 7 377.29/181.26 , 2_1(12) -> 11 377.29/181.26 , 2_1(13) -> 16 377.29/181.26 , 2_1(15) -> 14 377.29/181.26 , 3_0(1) -> 4 377.29/181.26 , 3_0(2) -> 4 377.29/181.26 , 3_0(3) -> 4 377.29/181.26 , 3_0(4) -> 4 377.29/181.26 , 3_0(5) -> 4 377.29/181.26 , 3_0(6) -> 4 377.29/181.26 , 3_1(9) -> 8 377.29/181.26 , 3_1(10) -> 13 377.29/181.26 , 4_0(1) -> 5 377.29/181.26 , 4_0(2) -> 5 377.29/181.26 , 4_0(3) -> 5 377.29/181.26 , 4_0(4) -> 5 377.29/181.26 , 4_0(5) -> 5 377.29/181.26 , 4_0(6) -> 5 377.29/181.26 , 4_1(1) -> 10 377.29/181.26 , 4_1(2) -> 10 377.29/181.26 , 4_1(3) -> 10 377.29/181.26 , 4_1(4) -> 10 377.29/181.26 , 4_1(5) -> 10 377.29/181.26 , 4_1(6) -> 10 377.29/181.26 , 5_0(1) -> 6 377.29/181.26 , 5_0(2) -> 6 377.29/181.26 , 5_0(3) -> 6 377.29/181.26 , 5_0(4) -> 6 377.29/181.26 , 5_0(5) -> 6 377.29/181.26 , 5_0(6) -> 6 377.29/181.26 , 5_1(1) -> 1 377.29/181.26 , 5_1(13) -> 12 377.29/181.26 , 5_1(14) -> 7 377.29/181.26 , 5_1(16) -> 11 } 377.29/181.26 377.29/181.26 Hurray, we answered YES(?,O(n^1)) 377.57/181.32 EOF