details

property	value
status	complete
benchmark	s1-saved.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n129.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	14.6849 seconds
cpu usage	39.922
user time	38.9435
system time	0.978531
max virtual memory	1.8978408E7
max residence set size	386864.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

39.83/14.64 WORST_CASE(NON_POLY, ?) 39.83/14.65 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 39.83/14.65 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 39.83/14.65 39.83/14.65 39.83/14.65 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). 39.83/14.65 39.83/14.65 (0) CpxIntTrs 39.83/14.65 (1) Loat Proof [FINISHED, 12.5 s] 39.83/14.65 (2) BOUNDS(INF, INF) 39.83/14.65 39.83/14.65 39.83/14.65 ---------------------------------------- 39.83/14.65 39.83/14.65 (0) 39.83/14.65 Obligation: 39.83/14.65 Complexity Int TRS consisting of the following rules: 39.83/14.65 f12(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, 1, L1, N1, O1, 1 + H, H, P1, H, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: A >= 0 && L1 >= 2 && 0 >= B + 1 && M1 >= L1 && 0 >= N1 + 1 && C >= 1 && C <= 1 39.83/14.65 f12(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, 1, L1, N1, O1, 1 + H, H, P1, H, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: A >= 0 && L1 >= 2 && 0 >= B + 1 && M1 >= L1 && N1 >= 1 && C >= 1 && C <= 1 39.83/14.65 f12(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, 1, L1, N1, O1, 1 + H, H, P1, H, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: A >= 0 && L1 >= 2 && B >= 1 && M1 >= L1 && 0 >= N1 + 1 && C >= 1 && C <= 1 39.83/14.65 f12(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, 1, L1, N1, O1, 1 + H, H, P1, H, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: A >= 0 && L1 >= 2 && B >= 1 && M1 >= L1 && N1 >= 1 && C >= 1 && C <= 1 39.83/14.65 f13(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, C, L1, N1, F, G, H, I, J, O1, P1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: J >= 0 && L1 >= 2 && 0 >= B + 1 && 0 >= N1 + 1 && 0 >= P1 + 1 39.83/14.65 f13(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, C, L1, N1, F, G, H, I, J, O1, P1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: J >= 0 && L1 >= 2 && 0 >= B + 1 && 0 >= N1 + 1 && P1 >= 1 39.83/14.65 f13(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, C, L1, N1, F, G, H, I, J, O1, P1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: J >= 0 && L1 >= 2 && 0 >= B + 1 && N1 >= 1 && 0 >= P1 + 1 39.83/14.65 f13(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, C, L1, N1, F, G, H, I, J, O1, P1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: J >= 0 && L1 >= 2 && 0 >= B + 1 && N1 >= 1 && P1 >= 1 39.83/14.65 f13(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, C, L1, N1, F, G, H, I, J, O1, P1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: J >= 0 && L1 >= 2 && B >= 1 && 0 >= N1 + 1 && 0 >= P1 + 1 39.83/14.65 f13(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, C, L1, N1, F, G, H, I, J, O1, P1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: J >= 0 && L1 >= 2 && B >= 1 && 0 >= N1 + 1 && P1 >= 1 39.83/14.65 f13(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, C, L1, N1, F, G, H, I, J, O1, P1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: J >= 0 && L1 >= 2 && B >= 1 && N1 >= 1 && 0 >= P1 + 1 39.83/14.65 f13(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, C, L1, N1, F, G, H, I, J, O1, P1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: J >= 0 && L1 >= 2 && B >= 1 && N1 >= 1 && P1 >= 1 39.83/14.65 f16(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, 1 + C, L1, N1, O1, G, -(1) + H, I, J, K, L, B, P1, 1 + C, -(1) + H, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: C >= 0 && H >= 0 && L1 >= 2 && 0 >= M1 + 1 && 0 >= N1 + 1 && 0 >= P1 + 1 39.83/14.65 f16(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, 1 + C, L1, N1, O1, G, -(1) + H, I, J, K, L, B, P1, 1 + C, -(1) + H, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: C >= 0 && H >= 0 && L1 >= 2 && 0 >= M1 + 1 && 0 >= N1 + 1 && P1 >= 1 39.83/14.65 f16(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, 1 + C, L1, N1, O1, G, -(1) + H, I, J, K, L, B, P1, 1 + C, -(1) + H, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: C >= 0 && H >= 0 && L1 >= 2 && 0 >= M1 + 1 && N1 >= 1 && 0 >= P1 + 1 39.83/14.65 f16(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, 1 + C, L1, N1, O1, G, -(1) + H, I, J, K, L, B, P1, 1 + C, -(1) + H, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: C >= 0 && H >= 0 && L1 >= 2 && 0 >= M1 + 1 && N1 >= 1 && P1 >= 1 39.83/14.65 f16(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, 1 + C, L1, N1, O1, G, -(1) + H, I, J, K, L, B, P1, 1 + C, -(1) + H, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: C >= 0 && H >= 0 && L1 >= 2 && M1 >= 1 && 0 >= N1 + 1 && 0 >= P1 + 1 39.83/14.65 f16(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, 1 + C, L1, N1, O1, G, -(1) + H, I, J, K, L, B, P1, 1 + C, -(1) + H, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: C >= 0 && H >= 0 && L1 >= 2 && M1 >= 1 && 0 >= N1 + 1 && P1 >= 1 39.83/14.65 f16(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, 1 + C, L1, N1, O1, G, -(1) + H, I, J, K, L, B, P1, 1 + C, -(1) + H, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: C >= 0 && H >= 0 && L1 >= 2 && M1 >= 1 && N1 >= 1 && 0 >= P1 + 1 39.83/14.65 f16(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(A, B, 1 + C, L1, N1, O1, G, -(1) + H, I, J, K, L, B, P1, 1 + C, -(1) + H, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: C >= 0 && H >= 0 && L1 >= 2 && M1 >= 1 && N1 >= 1 && P1 >= 1 39.83/14.65 f1(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f1(1 + A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, S, L1, S, N1, A, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: Q >= A + 1 && A >= 0 39.83/14.65 f1(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(H, R, 0, L1, R, F, G, H, I, J, K, L, M, N, O, P, N1, O1, R1, M1, U, V, P1, S1, T1, Q1, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: A >= Q && A >= 0 && L1 >= 2 && 0 >= R + 1 && Q1 >= L1 && H >= L1 && C >= 0 && C <= 0 39.83/14.65 f1(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f16(H, R, 0, L1, R, F, G, H, I, J, K, L, M, N, O, P, N1, O1, R1, M1, U, V, P1, S1, T1, Q1, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1)) :|: A >= Q && A >= 0 && L1 >= 2 && R >= 1 && Q1 >= L1 && H >= L1 && C >= 0 && C <= 0 39.83/14.65 f7(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, H1, I1, J1, K1)) :|: O1 >= A1 + 1 && B1 >= 0 && L1 >= 2 && N1 >= O1 + 1 && 0 >= N1 + 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f7(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, H1, I1, J1, K1)) :|: O1 >= A1 + 1 && B1 >= 0 && L1 >= 2 && N1 >= O1 + 1 && N1 >= 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f7(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, H1, I1, J1, K1)) :|: O1 >= A1 + 1 && B1 >= 0 && L1 >= 2 && O1 >= N1 + 1 && 0 >= N1 + 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f7(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, H1, I1, J1, K1)) :|: O1 >= A1 + 1 && B1 >= 0 && L1 >= 2 && O1 >= N1 + 1 && N1 >= 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f7(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, H1, I1, J1, K1)) :|: A1 >= O1 + 1 && B1 >= 0 && L1 >= 2 && N1 >= O1 + 1 && 0 >= N1 + 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f7(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, H1, I1, J1, K1)) :|: A1 >= O1 + 1 && B1 >= 0 && L1 >= 2 && N1 >= O1 + 1 && N1 >= 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f7(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, H1, I1, J1, K1)) :|: A1 >= O1 + 1 && B1 >= 0 && L1 >= 2 && O1 >= N1 + 1 && 0 >= N1 + 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f7(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, H1, I1, J1, K1)) :|: A1 >= O1 + 1 && B1 >= 0 && L1 >= 2 && O1 >= N1 + 1 && N1 >= 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f7(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f10(A, B, C, L1, S1, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, T1, Z, R1, B1, M1, N1, O1, P1, Q1, H1, I1, J1, K1)) :|: B1 >= 0 && 0 >= S1 + 1 && L1 >= 2 && C1 >= A1 && C1 <= A1 39.83/14.65 f7(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f10(A, B, C, L1, S1, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, T1, Z, R1, B1, M1, N1, O1, P1, Q1, H1, I1, J1, K1)) :|: B1 >= 0 && S1 >= 1 && L1 >= 2 && C1 >= A1 && C1 <= A1 39.83/14.65 f8(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, O1, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, -(1) + H1, -(1) + H1, J1, K1)) :|: P1 >= A1 + 1 && H1 >= 0 && L1 >= 2 && N1 >= P1 + 1 && 0 >= N1 + 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f8(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, O1, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, -(1) + H1, -(1) + H1, J1, K1)) :|: P1 >= A1 + 1 && H1 >= 0 && L1 >= 2 && N1 >= P1 + 1 && N1 >= 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f8(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, O1, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, -(1) + H1, -(1) + H1, J1, K1)) :|: P1 >= A1 + 1 && H1 >= 0 && L1 >= 2 && P1 >= N1 + 1 && 0 >= N1 + 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f8(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, O1, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, -(1) + H1, -(1) + H1, J1, K1)) :|: P1 >= A1 + 1 && H1 >= 0 && L1 >= 2 && P1 >= N1 + 1 && N1 >= 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f8(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, O1, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, -(1) + H1, -(1) + H1, J1, K1)) :|: A1 >= P1 + 1 && H1 >= 0 && L1 >= 2 && N1 >= P1 + 1 && 0 >= N1 + 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f8(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, O1, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, -(1) + H1, -(1) + H1, J1, K1)) :|: A1 >= P1 + 1 && H1 >= 0 && L1 >= 2 && N1 >= P1 + 1 && N1 >= 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f8(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, O1, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, -(1) + H1, -(1) + H1, J1, K1)) :|: A1 >= P1 + 1 && H1 >= 0 && L1 >= 2 && P1 >= N1 + 1 && 0 >= N1 + 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f8(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, C, L1, N1, O1, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, 0, N1, 0, N1, A1, -(1) + H1, -(1) + H1, J1, K1)) :|: A1 >= P1 + 1 && H1 >= 0 && L1 >= 2 && P1 >= N1 + 1 && N1 >= 1 && C1 >= 0 && C1 <= 0 39.83/14.65 f8(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f10(A, B, C, L1, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, S1, Z, R1, B1, M1, N1, O1, P1, T1, H1, I1, J1, K1)) :|: L1 >= 2 && H1 >= 0 && C1 >= A1 && C1 <= A1 39.83/14.65 f13(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, H1 + 1, L1, E, F, G, H, I, 0, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, E, H1, 0, E, 0, E, E, H1, I1, J1, K1)) :|: N1 >= 2 && E >= 1 && L1 >= 2 && 0 >= E + 1 && B >= 0 && B <= 0 && J >= 0 && J <= 0 && C >= 1 && C <= 1 39.83/14.65 f13(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, H1 + 1, L1, E, F, G, H, I, 0, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, E, H1, 0, E, 0, E, E, H1, I1, J1, K1)) :|: N1 >= 2 && E >= 1 && L1 >= 2 && B >= 0 && B <= 0 && J >= 0 && J <= 0 && C >= 1 && C <= 1 39.83/14.65 f13(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, H1 + 1, L1, E, F, G, H, I, 0, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, E, H1, 0, E, 0, E, E, H1, I1, J1, K1)) :|: N1 >= 2 && 0 >= E + 1 && L1 >= 2 && B >= 0 && B <= 0 && J >= 0 && J <= 0 && C >= 1 && C <= 1 39.83/14.65 f16(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, H1 + 1, L1, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, E, H1, 0, E, 0, E, E, H1, I1, J1, K1)) :|: N1 >= 2 && E >= 1 && L1 >= 2 && C >= 0 && H >= 0 && 0 >= E + 1 && B >= 0 && B <= 0 39.83/14.66 f16(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, H1 + 1, L1, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, E, H1, 0, E, 0, E, E, H1, I1, J1, K1)) :|: N1 >= 2 && E >= 1 && L1 >= 2 && C >= 0 && H >= 0 && B >= 0 && B <= 0 39.83/14.66 f16(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f8(A, 0, H1 + 1, L1, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, E, H1, 0, E, 0, E, E, H1, I1, J1, K1)) :|: N1 >= 2 && 0 >= E + 1 && L1 >= 2 && C >= 0 && H >= 0 && B >= 0 && B <= 0 39.83/14.66 f9(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f1(2, B, C, L1, E, F, G, H, I, J, K, L, M, N, O, P, L1, O1, P1, O1, U, V, O1, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, N1, M1)) :|: L1 >= 2 39.83/14.66 f9(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1) -> Com_1(f10(S1, 0, C, L1, 0, F, G, H, I, J, K, L, M, N, O, P, Q1, X1, A2, Z1, U, V, Y1, B2, C2, Z, R1, B1, M1, N1, O1, P1, D2, H1, I1, T1, K1)) :|: 0 >= U1 && 0 >= V1 && 0 >= L1 && 0 >= W1 39.83/14.66 39.83/14.66 The start-symbols are:[f9_37] 39.83/14.66 39.83/14.66 39.83/14.66 ---------------------------------------- 39.83/14.66 39.83/14.66 (1) Loat Proof (FINISHED) 39.83/14.66 39.83/14.66 39.83/14.66 ### Pre-processing the ITS problem ### 39.83/14.66 39.83/14.66 39.83/14.66 39.83/14.66 Initial linear ITS problem 39.83/14.66 39.83/14.66 Start location: f9 39.83/14.66 39.83/14.66 0: f12 -> f16 : C'=1, D'=free, E'=free_2, F'=free_1, G'=1+H, Q'=free_3, J'=H, [ A>=0 && free>=2 && 0>=1+B && free_4>=free && 0>=1+free_2 && C==1 ], cost: 1 39.83/14.66 39.83/14.66 1: f12 -> f16 : C'=1, D'=free_5, E'=free_7, F'=free_6, G'=1+H, Q'=free_8, J'=H, [ A>=0 && free_5>=2 && 0>=1+B && free_9>=free_5 && free_7>=1 && C==1 ], cost: 1 39.83/14.66 39.83/14.66 2: f12 -> f16 : C'=1, D'=free_10, E'=free_12, F'=free_11, G'=1+H, Q'=free_13, J'=H, [ A>=0 && free_10>=2 && B>=1 && free_14>=free_10 && 0>=1+free_12 && C==1 ], cost: 1 39.83/14.66 39.83/14.66 3: f12 -> f16 : C'=1, D'=free_15, E'=free_17, F'=free_16, G'=1+H, Q'=free_18, J'=H, [ A>=0 && free_15>=2 && B>=1 && free_19>=free_15 && free_17>=1 && C==1 ], cost: 1 39.83/14.66 39.83/14.66 4: f13 -> f16 : D'=free_20, E'=free_22, K'=free_21, L'=free_23, [ J>=0 && free_20>=2 && 0>=1+B && 0>=1+free_22 && 0>=1+free_23 ], cost: 1 39.83/14.66 39.83/14.66 5: f13 -> f16 : D'=free_24, E'=free_26, K'=free_25, L'=free_27, [ J>=0 && free_24>=2 && 0>=1+B && 0>=1+free_26 && free_27>=1 ], cost: 1 39.83/14.66 39.83/14.66 6: f13 -> f16 : D'=free_28, E'=free_30, K'=free_29, L'=free_31, [ J>=0 && free_28>=2 && 0>=1+B && free_30>=1 && 0>=1+free_31 ], cost: 1 39.83/14.66 39.83/14.66 7: f13 -> f16 : D'=free_32, E'=free_34, K'=free_33, L'=free_35, [ J>=0 && free_32>=2 && 0>=1+B && free_34>=1 && free_35>=1 ], cost: 1 39.83/14.66 popout

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all output return to Complexity_ITS 2019-03-21 04.46