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Complexity_ITS 2019-03-21 04.46 pair #429990624
details
property
value
status
complete
benchmark
jacobi.c.i.jacobi.pl.t2.fixed.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n035.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
74.8262 seconds
cpu usage
89.5074
user time
88.3554
system time
1.15195
max virtual memory
1.9034432E7
max residence set size
398244.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^1), O(n^1))
output
89.32/74.76 WORST_CASE(Omega(n^1), O(n^1)) 89.32/74.78 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 89.32/74.78 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 89.32/74.78 89.32/74.78 89.32/74.78 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, nat(1 + Arg_0 + -1 * Arg_2) + max(6, 7 + Arg_0 + -1 * Arg_2) + nat(1 + Arg_0 + -1 * Arg_3)). 89.32/74.78 89.32/74.78 (0) CpxIntTrs 89.32/74.78 (1) Koat2 Proof [FINISHED, 6792 ms] 89.32/74.78 (2) BOUNDS(1, nat(1 + Arg_0 + -1 * Arg_2) + max(6, 7 + Arg_0 + -1 * Arg_2) + nat(1 + Arg_0 + -1 * Arg_3)) 89.32/74.78 (3) Loat Proof [FINISHED, 72.8 s] 89.32/74.78 (4) BOUNDS(n^1, INF) 89.32/74.78 89.32/74.78 89.32/74.78 ---------------------------------------- 89.32/74.78 89.32/74.78 (0) 89.32/74.78 Obligation: 89.32/74.78 Complexity Int TRS consisting of the following rules: 89.32/74.78 f2(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) -> Com_1(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)) :|: TRUE 89.32/74.78 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) -> Com_1(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)) :|: A >= B 89.32/74.78 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) -> Com_1(f8(A, B, C + 1, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: A >= C 89.32/74.78 f17(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) -> Com_1(f17(A, B + 1, C, B1, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: A >= B 89.32/74.78 f27(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) -> Com_1(f31(A, B, C, D, E, 0, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: 50 >= E 89.32/74.78 f31(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) -> Com_1(f34(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)) :|: A >= 1 + B 89.32/74.78 f34(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) -> Com_1(f34(A, B, C + 1, D, E, F + B1, B1, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: A >= C 89.32/74.78 f46(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) -> Com_1(f50(A, B, C, D, E, F, G, B1, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: 3 >= E 89.32/74.78 f46(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) -> Com_1(f50(A, B, C, D, E, F, G, 0, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: E >= 4 89.32/74.78 f50(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) -> Com_1(f53(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)) :|: A >= 1 + B 89.32/74.78 f69(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) -> Com_1(f53(A, B, C + 1, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: H >= I 89.32/74.78 f53(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) -> Com_1(f53(A, B, C + 1, D, E, F, G, H, I, B1, 100 * B1, C1, C1 + 100 * B1, D1, D1 + 100 * B1, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: A >= C && E >= 5 89.32/74.78 f53(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) -> Com_1(f69(A, B, C, D, E, F, G, H, C1, B1, 100 * B1, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: A >= C && 4 >= E 89.32/74.78 f53(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) -> Com_1(f69(A, B, C, D, E, F, G, H, F1, B1, 100 * B1, C1, C1 + 100 * B1, D1, E1, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: E >= 5 && A >= C && E1 >= D1 + 100 * B1 + 1 89.32/74.78 f53(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) -> Com_1(f69(A, B, C, D, E, F, G, H, F1, B1, 100 * B1, C1, C1 + 100 * B1, D1, E1, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: E >= 5 && A >= C && D1 + 100 * B1 >= 1 + E1 89.32/74.78 f53(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) -> Com_1(f69(A, B, C, D, E, F, G, H, E1, B1, 100 * B1, C1, D1, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: E >= 5 && A >= C && D1 >= C1 + 100 * B1 + 1 89.32/74.78 f53(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) -> Com_1(f69(A, B, C, D, E, F, G, H, E1, B1, 100 * B1, C1, D1, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: E >= 5 && A >= C && C1 + 100 * B1 >= 1 + D1 89.32/74.78 f69(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) -> Com_1(f80(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, B1 - C1, D1, E1, F1, K1, G1, I1, W, X, Y, Z, A1)) :|: E1 >= D1 + K + 1 && 1 >= G1 * H1 + H1 * I1 && G1 * H1 + H1 * I1 + H1 >= 2 && F1 >= H1 && 1 >= G1 * J1 + I1 * J1 && G1 * J1 + I1 * J1 + J1 >= 2 && J1 >= F1 && I >= 1 + H 89.32/74.78 f69(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) -> Com_1(f80(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, B1 - C1, D1, E1, F1, K1, G1, I1, W, X, Y, Z, A1)) :|: D1 + K >= 1 + E1 && 1 >= G1 * H1 + H1 * I1 && G1 * H1 + H1 * I1 + H1 >= 2 && F1 >= H1 && 1 >= G1 * J1 + I1 * J1 && G1 * J1 + I1 * J1 + J1 >= 2 && J1 >= F1 && I >= 1 + H 89.32/74.78 f80(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) -> Com_1(f92(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, S * B1, Q, R, S, T, U, V, C1, D1, E1, F1, A1)) :|: T >= 0 && S >= S * C1 * K1 && S * C1 * K1 + K1 >= S + 1 && K1 >= E1 && S >= S * C1 * G1 && S * C1 * G1 + G1 >= S + 1 && E1 >= G1 && 1 >= C1 * I1 && C1 * I1 + I1 >= 2 && D1 >= I1 && 1 >= C1 * H1 && C1 * H1 + H1 >= 2 && H1 >= D1 && S >= S * C1 * J1 && S * C1 * J1 + J1 >= S + 1 && 1 >= C1 * L1 && C1 * L1 + L1 >= 2 && J1 >= M1 + L1 * M1 && 2 * M1 + L1 * M1 >= J1 + 1 && M1 >= F1 && S >= S * C1 * N1 && S * C1 * N1 + N1 >= S + 1 && 1 >= C1 * O1 && C1 * O1 + O1 >= 2 && N1 >= P1 + O1 * P1 && 2 * P1 + O1 * P1 >= N1 + 1 && F1 >= P1 89.32/74.78 f69(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) -> Com_1(f92(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, B1, C1, C1 + K, D1, T, U, V, E1, F1, K1, G1, A1)) :|: H1 >= E1 * H1 * I1 && E1 * H1 * I1 + I1 >= H1 + 1 && L1 >= E1 * J1 * L1 && E1 * J1 * L1 + J1 >= L1 + 1 && N1 >= E1 * M1 * N1 && E1 * M1 * N1 + M1 >= N1 + 1 && I1 + M1 * O1 >= J1 * O1 && J1 * O1 + O1 >= M1 * O1 + I1 + 1 && O1 >= K1 && H1 >= E1 * H1 * P1 && E1 * H1 * P1 + P1 >= H1 + 1 && L1 >= E1 * L1 * Q1 && E1 * L1 * Q1 + Q1 >= L1 + 1 && N1 >= E1 * N1 * R1 && E1 * N1 * R1 + R1 >= N1 + 1 && P1 + R1 * S1 >= Q1 * S1 && Q1 * S1 + S1 >= R1 * S1 + P1 + 1 && K1 >= S1 && H1 >= E1 * H1 * T1 && E1 * H1 * T1 + T1 >= H1 + 1 && L1 >= E1 * L1 * U1 && E1 * L1 * U1 + U1 >= L1 + 1 && N1 >= E1 * N1 * V1 && E1 * N1 * V1 + V1 >= N1 + 1 && T1 + V1 * W1 >= U1 * W1 && U1 * W1 + W1 >= V1 * W1 + T1 + 1 && 1 >= E1 * X1 && E1 * X1 + X1 >= 2 && W1 >= Y1 + X1 * Y1 && 2 * Y1 + X1 * Y1 >= W1 + 1 && Y1 >= G1 && H1 >= E1 * H1 * Z1 && E1 * H1 * Z1 + Z1 >= H1 + 1 && L1 >= E1 * L1 * A2 && E1 * L1 * A2 + A2 >= L1 + 1 && N1 >= E1 * N1 * B2 && E1 * N1 * B2 + B2 >= N1 + 1 && Z1 + B2 * C2 >= A2 * C2 && A2 * C2 + C2 >= B2 * C2 + Z1 + 1 && 1 >= E1 * D2 && E1 * D2 + D2 >= 2 && C2 >= E2 + D2 * E2 && 2 * E2 + D2 * E2 >= C2 + 1 && G1 >= E2 && H1 + N1 * F2 >= L1 * F2 && L1 * F2 + F2 >= N1 * F2 + H1 + 1 && F2 >= D1 && H1 + N1 * G2 >= L1 * G2 && L1 * G2 + G2 >= N1 * G2 + H1 + 1 && D1 >= G2 && H1 * H2 + N1 * H2 * I2 >= L1 * H2 * I2 && L1 * H2 * I2 + I2 >= N1 * H2 * I2 + H1 * H2 + 1 && I2 >= B1 && H1 * H2 + N1 * H2 * J2 >= L1 * H2 * J2 && L1 * H2 * J2 + J2 >= N1 * H2 * J2 + H1 * H2 + 1 && B1 >= J2 && 1 >= E1 * K2 && E1 * K2 + K2 >= 2 && F1 >= K2 && 1 >= E1 * L2 && E1 * L2 + L2 >= 2 && L2 >= F1 && I >= 1 + H 89.32/74.78 f80(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) -> Com_1(f92(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, -(S) * B1, Q, R, -(S), T, U, V, C1, D1, -(S) * E1, F1, A1)) :|: 1 >= C1 * E1 && C1 * E1 + E1 >= 2 && 0 >= T + 1 && 1 >= C1 * K1 && C1 * K1 + K1 >= 2 && D1 >= K1 && 1 >= C1 * G1 && C1 * G1 + G1 >= 2 && G1 >= D1 && 1 >= C1 * I1 && C1 * I1 + I1 >= 2 && 1 >= C1 * H1 && C1 * H1 + H1 >= 2 && 0 >= S * I1 + J1 + H1 * J1 && 2 * J1 + H1 * J1 + S * I1 >= 1 && F1 >= J1 && 1 >= C1 * L1 && C1 * L1 + L1 >= 2 && 1 >= C1 * M1 && C1 * M1 + M1 >= 2 && 0 >= S * L1 + N1 + M1 * N1 && 2 * N1 + M1 * N1 + S * L1 >= 1 && N1 >= F1 89.32/74.78 f92(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) -> Com_1(f92(A, B, C, D, E, F, G, H, I, J, B1, L, M, N, O, C1, Q, R, S, T, U, V, W, X, Y, Z, A1 + 1)) :|: B >= 1 + A1 89.32/74.78 f101(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) -> Com_1(f101(A, B, C, D, E, F, G, H, I, J, B1, L, M, N, O, C1, Q, R, S, T, U, V, W, X, Y, Z, A1 + 1)) :|: C >= 1 + A1 89.32/74.78 f110(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) -> Com_1(f110(A, B, C, D, E, F, G, H, I, J, B1, L, M, N, O, C1, Q, R, S, T, U, V, W, X, Y, Z, A1 + 1)) :|: A >= A1 89.32/74.78 f119(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) -> Com_1(f119(A, B, C, D, E, F, G, H, I, J, B1, L, M, N, O, C1, Q, R, S, T, U, V, W, X, Y, Z, A1 + 1)) :|: A >= A1 89.32/74.78 f132(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) -> Com_1(f132(A, B + 1, 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)) :|: A >= B 89.32/74.78 f132(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) -> Com_1(f27(A, B, C, D, E + 1, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: B >= 1 + A 89.32/74.78 f119(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) -> Com_1(f53(A, B, C + 1, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: A1 >= 1 + A 89.32/74.78 f110(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) -> Com_1(f119(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)) :|: A1 >= 1 + A 89.32/74.78 f101(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) -> Com_1(f110(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)) :|: A1 >= C 89.32/74.78 f92(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) -> Com_1(f101(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)) :|: A1 >= B 89.32/74.78 f53(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) -> Com_1(f50(A, B + 1, 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)) :|: C >= 1 + A 89.32/74.78 f50(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) -> Com_1(f132(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)) :|: B >= A 89.32/74.78 f34(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) -> Com_1(f31(A, B + 1, 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)) :|: C >= 1 + A 89.32/74.78 f31(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) -> Com_1(f46(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)) :|: B >= A && 0 >= F + 1 89.32/74.78 f31(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) -> Com_1(f46(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)) :|: B >= A && F >= 1 89.32/74.78 f31(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) -> Com_1(f1(A, B, C, D, E, 0, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: B >= A && F >= 0 && F <= 0 89.32/74.78 f27(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) -> Com_1(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)) :|: E >= 51 89.32/74.78 f17(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) -> Com_1(f27(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)) :|: B >= 1 + A 89.32/74.78 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) -> Com_1(f5(A, B + 1, 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)) :|: C >= 1 + A 89.32/74.78 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) -> Com_1(f17(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)) :|: B >= 1 + A 89.32/74.78 89.32/74.78 The start-symbols are:[f2_27] 89.32/74.78 89.32/74.78 89.32/74.78 ---------------------------------------- 89.32/74.78 89.32/74.78 (1) Koat2 Proof (FINISHED) 89.32/74.78 YES( ?, max([0, 1+Arg_0-Arg_2])+max([6, 7+Arg_0-Arg_2])+max([0, 1+Arg_0-Arg_3]) {O(n)}) 89.32/74.78 89.32/74.78 89.32/74.78 89.32/74.78 Initial Complexity Problem: 89.32/74.78 89.32/74.78 Start: f2 89.32/74.78 89.32/74.78 Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7, Arg_8, Arg_9, Arg_10, Arg_11, Arg_12, Arg_13, Arg_14, Arg_15, Arg_16, Arg_17, Arg_18, Arg_19, Arg_20, Arg_21, Arg_22, Arg_23, Arg_24, Arg_25, Arg_26 89.32/74.78 89.32/74.78 Temp_Vars: 89.32/74.78 89.32/74.78 Locations: f1, f17, f2, f27, f31, f5, f8 89.32/74.78 89.32/74.78 Transitions: 89.32/74.78 89.32/74.78 f17(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26) -> f27(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26):|:1+Arg_0 <= Arg_2 && 1+Arg_0 <= Arg_2 89.32/74.78 89.32/74.78 f2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26) -> f5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26):|: 89.32/74.78 89.32/74.78 f27(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26) -> f1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26):|:1+Arg_0 <= Arg_2 && 51 <= Arg_5 89.32/74.78 89.32/74.78 f27(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26) -> f31(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,0,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26):|:1+Arg_0 <= Arg_2 && Arg_5 <= 50 89.32/74.78 89.32/74.78 f31(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26) -> f1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,0,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26):|:Arg_6 <= 0 && Arg_5+Arg_6 <= 50 && 0 <= Arg_6 && Arg_5 <= 50+Arg_6 && Arg_5 <= 50 && 1+Arg_0 <= Arg_2 && Arg_0 <= Arg_2 && Arg_6 <= 0 && 0 <= Arg_6 89.32/74.78 89.32/74.78 f5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26) -> f17(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26):|:1+Arg_0 <= Arg_2 89.32/74.78 89.32/74.78 f5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26) -> f8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26):|:Arg_2 <= Arg_0 89.32/74.78 89.32/74.78 f8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26) -> f5(Arg_0,Arg_1,Arg_2+1,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26):|:Arg_2 <= Arg_0 && 1+Arg_0 <= Arg_3 89.32/74.78
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