Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Complexity_ITS 2019-03-21 04.46 pair #429990190
details
property
value
status
complete
benchmark
reverse_seg_cyclic.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n062.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
20.7618 seconds
cpu usage
49.9013
user time
48.6872
system time
1.21412
max virtual memory
1.919842E7
max residence set size
503284.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^1), O(n^1))
output
49.71/20.69 WORST_CASE(Omega(n^1), O(n^1)) 49.81/20.71 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 49.81/20.71 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 49.81/20.71 49.81/20.71 49.81/20.71 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). 49.81/20.71 49.81/20.71 (0) CpxIntTrs 49.81/20.71 (1) Koat Proof [FINISHED, 6515 ms] 49.81/20.71 (2) BOUNDS(1, n^1) 49.81/20.71 (3) Loat Proof [FINISHED, 18.6 s] 49.81/20.71 (4) BOUNDS(n^1, INF) 49.81/20.71 49.81/20.71 49.81/20.71 ---------------------------------------- 49.81/20.71 49.81/20.71 (0) 49.81/20.71 Obligation: 49.81/20.71 Complexity Int TRS consisting of the following rules: 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f1(A, 1 + B, D, C2, D, D2, B, I, 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: A >= B + 1 && B >= 0 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: E2 >= F2 + 1 && E2 >= J + 1 && E2 >= K + 1 && E2 >= G2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: E2 >= F2 + 1 && E2 >= J + 1 && E2 >= K + 1 && G2 >= E2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: E2 >= F2 + 1 && E2 >= J + 1 && K >= E2 + 1 && E2 >= G2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: E2 >= F2 + 1 && E2 >= J + 1 && K >= E2 + 1 && G2 >= E2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: E2 >= F2 + 1 && J >= E2 + 1 && E2 >= K + 1 && E2 >= G2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: E2 >= F2 + 1 && J >= E2 + 1 && E2 >= K + 1 && G2 >= E2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: E2 >= F2 + 1 && J >= E2 + 1 && K >= E2 + 1 && E2 >= G2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: E2 >= F2 + 1 && J >= E2 + 1 && K >= E2 + 1 && G2 >= E2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: F2 >= E2 + 1 && E2 >= J + 1 && E2 >= K + 1 && E2 >= G2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: F2 >= E2 + 1 && E2 >= J + 1 && E2 >= K + 1 && G2 >= E2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: F2 >= E2 + 1 && E2 >= J + 1 && K >= E2 + 1 && E2 >= G2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: F2 >= E2 + 1 && E2 >= J + 1 && K >= E2 + 1 && G2 >= E2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: F2 >= E2 + 1 && J >= E2 + 1 && E2 >= K + 1 && E2 >= G2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: F2 >= E2 + 1 && J >= E2 + 1 && E2 >= K + 1 && G2 >= E2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: F2 >= E2 + 1 && J >= E2 + 1 && K >= E2 + 1 && E2 >= G2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, 1 + E1, 1, C2, P, P, D2, J, D2, H2, V, V, I, K, I2, J2, K2, G2, J, E1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: F2 >= E2 + 1 && J >= E2 + 1 && K >= E2 + 1 && G2 >= E2 + 1 && L >= 0 && C2 >= 2 && M >= 1 && M <= 1 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f4(A, B, C, D, E, F, G, H, I, H2, K, L, M, C2, D2, K2, J2, G2, S, T, U, V, W, X, Y, Z, A1, B1, E2, D1, E1, I2, F2, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: L >= 0 && D2 >= F2 + 1 && C2 >= 2 && J >= P && J <= P 49.81/20.71 f5(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f4(A, B, C, D, E, F, G, H, I, H2, K, L, M, C2, D2, K2, J2, G2, S, T, U, V, W, X, Y, Z, A1, B1, E2, D1, E1, I2, F2, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: L >= 0 && F2 >= D2 + 1 && C2 >= 2 && J >= P && J <= P 49.81/20.71 f6(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, E1, F1, G1, H2, I2, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: J2 >= K + 1 && J2 >= J + 1 && J2 >= I2 + 1 && C2 >= 2 && D1 >= 0 49.81/20.71 f6(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, E1, F1, G1, H2, I2, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: J2 >= K + 1 && J2 >= J + 1 && I2 >= J2 + 1 && C2 >= 2 && D1 >= 0 49.81/20.71 f6(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, E1, F1, G1, H2, I2, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: J2 >= K + 1 && J >= J2 + 1 && J2 >= I2 + 1 && C2 >= 2 && D1 >= 0 49.81/20.71 f6(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, E1, F1, G1, H2, I2, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: J2 >= K + 1 && J >= J2 + 1 && I2 >= J2 + 1 && C2 >= 2 && D1 >= 0 49.81/20.71 f6(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, E1, F1, G1, H2, I2, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: K >= J2 + 1 && J2 >= J + 1 && J2 >= I2 + 1 && C2 >= 2 && D1 >= 0 49.81/20.71 f6(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, E1, F1, G1, H2, I2, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: K >= J2 + 1 && J2 >= J + 1 && I2 >= J2 + 1 && C2 >= 2 && D1 >= 0 49.81/20.71 f6(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, E1, F1, G1, H2, I2, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: K >= J2 + 1 && J >= J2 + 1 && J2 >= I2 + 1 && C2 >= 2 && D1 >= 0 49.81/20.71 f6(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, E1, F1, G1, H2, I2, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: K >= J2 + 1 && J >= J2 + 1 && I2 >= J2 + 1 && C2 >= 2 && D1 >= 0 49.81/20.71 f6(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f4(A, B, C, D, E, F, G, H, I, H2, K, L, M, C2, D2, K2, J2, G2, S, T, U, V, W, X, Y, Z, A1, B1, E2, D1, E1, I2, G1, H1, I1, F2, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: D1 >= 0 && C2 >= 2 && D2 >= F2 + 1 && D2 >= K + 1 && J >= P && J <= P 49.81/20.71 f6(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f4(A, B, C, D, E, F, G, H, I, H2, K, L, M, C2, D2, K2, J2, G2, S, T, U, V, W, X, Y, Z, A1, B1, E2, D1, E1, I2, G1, H1, I1, F2, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: D1 >= 0 && C2 >= 2 && D2 >= F2 + 1 && K >= D2 + 1 && J >= P && J <= P 49.81/20.71 f6(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f4(A, B, C, D, E, F, G, H, I, H2, K, L, M, C2, D2, K2, J2, G2, S, T, U, V, W, X, Y, Z, A1, B1, E2, D1, E1, I2, G1, H1, I1, F2, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: D1 >= 0 && C2 >= 2 && F2 >= D2 + 1 && D2 >= K + 1 && J >= P && J <= P 49.81/20.71 f6(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f4(A, B, C, D, E, F, G, H, I, H2, K, L, M, C2, D2, K2, J2, G2, S, T, U, V, W, X, Y, Z, A1, B1, E2, D1, E1, I2, G1, H1, I1, F2, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: D1 >= 0 && C2 >= 2 && F2 >= D2 + 1 && K >= D2 + 1 && J >= P && J <= P 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: J2 >= K2 + 1 && J2 >= J + 1 && J2 >= I2 + 1 && J2 >= K + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: J2 >= K2 + 1 && J2 >= J + 1 && J2 >= I2 + 1 && K >= J2 + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: J2 >= K2 + 1 && J2 >= J + 1 && I2 >= J2 + 1 && J2 >= K + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: J2 >= K2 + 1 && J2 >= J + 1 && I2 >= J2 + 1 && K >= J2 + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: J2 >= K2 + 1 && J >= J2 + 1 && J2 >= I2 + 1 && J2 >= K + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: J2 >= K2 + 1 && J >= J2 + 1 && J2 >= I2 + 1 && K >= J2 + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: J2 >= K2 + 1 && J >= J2 + 1 && I2 >= J2 + 1 && J2 >= K + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: J2 >= K2 + 1 && J >= J2 + 1 && I2 >= J2 + 1 && K >= J2 + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: K2 >= J2 + 1 && J2 >= J + 1 && J2 >= I2 + 1 && J2 >= K + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: K2 >= J2 + 1 && J2 >= J + 1 && J2 >= I2 + 1 && K >= J2 + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: K2 >= J2 + 1 && J2 >= J + 1 && I2 >= J2 + 1 && J2 >= K + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: K2 >= J2 + 1 && J2 >= J + 1 && I2 >= J2 + 1 && K >= J2 + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: K2 >= J2 + 1 && J >= J2 + 1 && J2 >= I2 + 1 && J2 >= K + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: K2 >= J2 + 1 && J >= J2 + 1 && J2 >= I2 + 1 && K >= J2 + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: K2 >= J2 + 1 && J >= J2 + 1 && I2 >= J2 + 1 && J2 >= K + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, C2, P, P, D2, J, D2, T, U, V, W, X, Y, Z, A1, B1, J, D1, -(1) + E1, F1, G1, H1, I1, J1, H2, I2, V, I, K, M + 1, -(1) + E1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: K2 >= J2 + 1 && J >= J2 + 1 && I2 >= J2 + 1 && K >= J2 + 1 && G2 >= 0 && C2 >= 2 && E1 >= 0 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f4(A, B, C, D, E, F, G, H, I, H2, K, L, M, C2, D2, K2, J2, G2, S, T, U, V, W, X, Y, Z, A1, B1, E2, D1, E1, I2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, F2, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: M >= 0 && E1 >= 0 && C2 >= 2 && D2 >= F2 + 1 && D2 >= K + 1 && J >= P && J <= P 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f4(A, B, C, D, E, F, G, H, I, H2, K, L, M, C2, D2, K2, J2, G2, S, T, U, V, W, X, Y, Z, A1, B1, E2, D1, E1, I2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, F2, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: M >= 0 && E1 >= 0 && C2 >= 2 && D2 >= F2 + 1 && K >= D2 + 1 && J >= P && J <= P 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f4(A, B, C, D, E, F, G, H, I, H2, K, L, M, C2, D2, K2, J2, G2, S, T, U, V, W, X, Y, Z, A1, B1, E2, D1, E1, I2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, F2, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: M >= 0 && E1 >= 0 && C2 >= 2 && F2 >= D2 + 1 && D2 >= K + 1 && J >= P && J <= P 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f4(A, B, C, D, E, F, G, H, I, H2, K, L, M, C2, D2, K2, J2, G2, S, T, U, V, W, X, Y, Z, A1, B1, E2, D1, E1, I2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, F2, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2)) :|: M >= 0 && E1 >= 0 && C2 >= 2 && F2 >= D2 + 1 && K >= D2 + 1 && J >= P && J <= P 49.81/20.71 f3(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f4(C2, I2, H2, N2, M2, F, G, H, I, K2, K, L, M, J2, O, P2, O2, Q2, S, T, U, V, W, X, Y, Z, A1, B1, R2, D1, E1, E2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, D2, G2, F2, V1, W1, X1, Y1, Z1, A2, B2)) :|: 0 >= L2 && 0 >= N && 0 >= J2 49.81/20.71 f3(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f1(N, 2, D2, H2, D2, F, G, H, I, J, K, L, M, N, C2, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, C2, T1, D2, I2, W1, X1, Y1, Z1, A2, B2)) :|: N >= 2 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(C2, I2, H2, M2, F2, F, G, H, I, J, J, E1, 0, J2, O, O, N2, J, N2, T, U, V, W, X, Y, Z, A1, B1, J, D1, E1, G2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, D2, K2, E2, V1, E1 + 1, V, I, O2, P2, B2)) :|: Q2 >= 2 && W1 >= Q2 && J2 >= 2 && W1 >= J2 && O >= K + 1 && B >= A && B >= 0 && W1 >= 0 && M >= 0 && M <= 0 && J >= K && J <= K 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f7(C2, I2, H2, M2, F2, F, G, H, I, J, J, E1, 0, J2, O, O, N2, J, N2, T, U, V, W, X, Y, Z, A1, B1, J, D1, E1, G2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, D2, K2, E2, V1, E1 + 1, V, I, O2, P2, B2)) :|: Q2 >= 2 && W1 >= Q2 && J2 >= 2 && W1 >= J2 && K >= O + 1 && B >= A && B >= 0 && W1 >= 0 && M >= 0 && M <= 0 && J >= K && J <= K 49.81/20.71 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f4(C2, I2, H2, N2, M2, F, G, H, I, K2, K, L, M, J2, O, P2, O2, Q2, S, T, U, V, W, X, Y, Z, A1, B1, R2, D1, E1, E2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, D2, G2, F2, V1, W1, X1, Y1, Z1, A2, B2)) :|: L2 >= 2 && W1 >= L2 && J2 >= 2 && W1 >= J2 && B >= A && W1 >= 0 && B >= 0 && O >= J && O <= J 49.81/20.71 f3(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f4(C2, I2, H2, M2, F2, F, G, H, I, J2, K, L, M, 1, J, O2, N2, P2, S, T, U, V, W, X, Y, Z, A1, B1, Q2, D1, E1, G2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, D2, K2, E2, V1, W1, X1, Y1, Z1, A2, B2)) :|: N >= 1 && N <= 1 49.81/20.71 f3(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f4(C2, I2, H2, N2, M2, F, G, H, I, K2, K, L, M, 1, J2, P2, O2, Q2, R2, T, U, V, W, X, Y, Z, A1, B1, L2, D1, E1, E2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, D2, G2, F2, V1, W1, X1, Y1, Z1, A2, S2)) :|: 0 >= 1 && J2 >= S2 + 1 && N >= 1 && N <= 1 49.81/20.71 f3(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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2) -> Com_1(f4(C2, I2, H2, N2, M2, F, G, H, I, K2, K, L, M, 1, J2, P2, O2, Q2, R2, T, U, V, W, X, Y, Z, A1, B1, L2, D1, E1, E2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, D2, G2, F2, V1, W1, X1, Y1, Z1, A2, S2)) :|: 0 >= 1 && S2 >= J2 + 1 && N >= 1 && N <= 1 49.81/20.71 49.81/20.71 The start-symbols are:[f3_54] 49.81/20.71 49.81/20.71 49.81/20.71 ---------------------------------------- 49.81/20.71 49.81/20.71 (1) Koat Proof (FINISHED) 49.81/20.71 YES(?, ar_14 + 16*ar_13 + 35) 49.81/20.71 49.81/20.71 49.81/20.71 49.81/20.71 Initial complexity problem: 49.81/20.71 49.81/20.71 1: T: 49.81/20.71 49.81/20.71 (Comp: ?, Cost: 1) f1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15, ar_16, ar_17, ar_18, ar_19, ar_20, ar_21, ar_22, ar_23, ar_24, ar_25, ar_26, ar_27, ar_28, ar_29, ar_30, ar_31, ar_32, ar_33, ar_34, ar_35, ar_36, ar_37, ar_38, ar_39, ar_40, ar_41, ar_42, ar_43, ar_44, ar_45, ar_46, ar_47, ar_48, ar_49, ar_50, ar_51, ar_52, ar_53) -> Com_1(f1(ar_0, ar_1 + 1, ar_3, c2, ar_3, d2, ar_1, ar_8, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15, ar_16, ar_17, ar_18, ar_19, ar_20, ar_21, ar_22, ar_23, ar_24, ar_25, ar_26, ar_27, ar_28, ar_29, ar_30, ar_31, ar_32, ar_33, ar_34, ar_35, ar_36, ar_37, ar_38, ar_39, ar_40, ar_41, ar_42, ar_43, ar_44, ar_45, ar_46, ar_47, ar_48, ar_49, ar_50, ar_51, ar_52, ar_53)) [ ar_0 >= ar_1 + 1 /\ ar_1 >= 0 ] 49.81/20.71 49.81/20.71 (Comp: ?, Cost: 1) f5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15, ar_16, ar_17, ar_18, ar_19, ar_20, ar_21, ar_22, ar_23, ar_24, ar_25, ar_26, ar_27, ar_28, ar_29, ar_30, ar_31, ar_32, ar_33, ar_34, ar_35, ar_36, ar_37, ar_38, ar_39, ar_40, ar_41, ar_42, ar_43, ar_44, ar_45, ar_46, ar_47, ar_48, ar_49, ar_50, ar_51, ar_52, ar_53) -> Com_1(f7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_13 + 1, 1, ar_13, c2, ar_16, ar_16, d2, ar_9, d2, h2, ar_22, ar_22, ar_8, ar_10, i2, j2, k2, g2, ar_9, ar_13, ar_31, ar_32, ar_33, ar_34, ar_35, ar_36, ar_37, ar_38, ar_39, ar_40, ar_41, ar_42, ar_43, ar_44, ar_45, ar_46, ar_47, ar_48, ar_49, ar_50, ar_51, ar_52, ar_53)) [ e2 >= f2 + 1 /\ e2 >= ar_9 + 1 /\ e2 >= ar_10 + 1 /\ e2 >= g2 + 1 /\ ar_11 >= 0 /\ c2 >= 2 /\ ar_12 = 1 ] 49.81/20.71 49.81/20.71 (Comp: ?, Cost: 1) f5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15, ar_16, ar_17, ar_18, ar_19, ar_20, ar_21, ar_22, ar_23, ar_24, ar_25, ar_26, ar_27, ar_28, ar_29, ar_30, ar_31, ar_32, ar_33, ar_34, ar_35, ar_36, ar_37, ar_38, ar_39, ar_40, ar_41, ar_42, ar_43, ar_44, ar_45, ar_46, ar_47, ar_48, ar_49, ar_50, ar_51, ar_52, ar_53) -> Com_1(f7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_13 + 1, 1, ar_13, c2, ar_16, ar_16, d2, ar_9, d2, h2, ar_22, ar_22, ar_8, ar_10, i2, j2, k2, g2, ar_9, ar_13, ar_31, ar_32, ar_33, ar_34, ar_35, ar_36, ar_37, ar_38, ar_39, ar_40, ar_41, ar_42, ar_43, ar_44, ar_45, ar_46, ar_47, ar_48, ar_49, ar_50, ar_51, ar_52, ar_53)) [ e2 >= f2 + 1 /\ e2 >= ar_9 + 1 /\ e2 >= ar_10 + 1 /\ g2 >= e2 + 1 /\ ar_11 >= 0 /\ c2 >= 2 /\ ar_12 = 1 ] 49.81/20.71 49.81/20.71 (Comp: ?, Cost: 1) f5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13, ar_14, ar_15, ar_16, ar_17, ar_18, ar_19, ar_20, ar_21, ar_22, ar_23, ar_24, ar_25, ar_26, ar_27, ar_28, ar_29, ar_30, ar_31, ar_32, ar_33, ar_34, ar_35, ar_36, ar_37, ar_38, ar_39, ar_40, ar_41, ar_42, ar_43, ar_44, ar_45, ar_46, ar_47, ar_48, ar_49, ar_50, ar_51, ar_52, ar_53) -> Com_1(f7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_13 + 1, 1, ar_13, c2, ar_16, ar_16, d2, ar_9, d2, h2, ar_22, ar_22, ar_8, ar_10, i2, j2, k2, g2, ar_9, ar_13, ar_31, ar_32, ar_33, ar_34, ar_35, ar_36, ar_37, ar_38, ar_39, ar_40, ar_41, ar_42, ar_43, ar_44, ar_45, ar_46, ar_47, ar_48, ar_49, ar_50, ar_51, ar_52, ar_53)) [ e2 >= f2 + 1 /\ e2 >= ar_9 + 1 /\ ar_10 >= e2 + 1 /\ e2 >= g2 + 1 /\ ar_11 >= 0 /\ c2 >= 2 /\ ar_12 = 1 ]
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Complexity_ITS 2019-03-21 04.46