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Complexity_ITS 2019-03-21 04.46 pair #429990226
details
property
value
status
complete
benchmark
1394-fail.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n036.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
15.6047 seconds
cpu usage
34.8271
user time
34.0295
system time
0.797572
max virtual memory
1.89454E7
max residence set size
432036.0
stage attributes
key
value
starexec-result
WORST_CASE(NON_POLY, ?)
output
34.65/14.71 WORST_CASE(NON_POLY, ?) 34.65/14.72 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 34.65/14.72 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 34.65/14.72 34.65/14.72 34.65/14.72 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). 34.65/14.72 34.65/14.72 (0) CpxIntTrs 34.65/14.72 (1) Loat Proof [FINISHED, 12.8 s] 34.65/14.72 (2) BOUNDS(INF, INF) 34.65/14.72 34.65/14.72 34.65/14.72 ---------------------------------------- 34.65/14.72 34.65/14.72 (0) 34.65/14.72 Obligation: 34.65/14.72 Complexity Int TRS consisting of the following rules: 34.65/14.72 f81(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f83(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: 0 >= A 34.65/14.72 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, 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f31(A, B - 1, M2, M2, 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: 0 >= M2 && B >= 1 34.65/14.72 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, 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f42(A, B - 1, M2, M2, N2, O2, 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: B >= 1 && M2 >= 1 && 0 >= N2 34.65/14.72 f83(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f67(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: 0 >= G 34.65/14.72 f67(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f77(A, B, C, D, E, F, M2, H - 1, N2, O2, 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: H >= 1 && 0 >= N2 34.65/14.72 f77(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f81(M2, 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: 0 >= J 34.65/14.72 f237(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f237(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: TRUE 34.65/14.72 f239(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f242(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: TRUE 34.65/14.72 f211(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f211(A, B, C, D, E, F, G, H, I, J, K, 0, M2, N2, 0, 0, 2, M2, 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: K >= 1 && 0 >= N2 34.65/14.72 f211(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f211(A, B, C, D, E, F, G, H, I, J, K - 1, 0, M2, N2, 0, 0, 2, M2, 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: K >= 1 && N2 >= 1 34.65/14.72 f211(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f237(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, 0, M2, 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: 0 >= K 34.65/14.72 f144(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f211(A, B, C, D, E, F, G, H, I, J, N2, L, M, N, O, P, Q, R, 0, T, U, 0, M2, N2, 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: 0 >= U 34.65/14.72 f172(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f144(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, 0, W, X, Y, 0, Y, Y, 0, E1, E1, Y, 0, Y, E1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: Y >= 1 34.65/14.72 f172(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f144(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, 0, W, X, Y, Z, Y, B1, C1, D1, E1, F1, G1, H1, I1, E1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: 0 >= Y 34.65/14.72 f144(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f144(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, 0, T, U - 1, 0, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, M2, M2, N2, N1, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: U >= 1 && 0 >= M2 34.65/14.72 f144(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f144(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, 0, T, U - 1, 0, W, X, Y, Z, O2, B1, C1, D1, 0, F1, G1, H1, I1, J1, M2, M2, N2, P2, P2, 0, 0, 0, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: U >= 1 && M2 >= 1 34.65/14.72 f144(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f172(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, 0, T, U - 1, V, W, X, 0, Z, O2, B1, C1, D1, P2, F1, G1, H1, I1, J1, M2, M2, N2, Q2, Q2, 0, P2, P2, 1, 0, U1, V1, W1, X1, Y1, Z1, A2, B2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: 0 >= P2 + 1 && U >= 1 && M2 >= 1 34.65/14.72 f144(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f172(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, 0, T, U - 1, V, W, X, 0, Z, O2, B1, C1, D1, P2, F1, G1, H1, I1, J1, M2, M2, N2, Q2, Q2, 0, P2, P2, 1, 0, U1, V1, W1, X1, Y1, Z1, A2, B2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: P2 >= 1 && U >= 1 && M2 >= 1 34.65/14.72 f104(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f144(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, 0, T, O2, 0, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, M2, M2, N2, O2, Y1, Z1, A2, B2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: 0 >= M2 34.65/14.72 f104(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f104(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, 0, T, U, 0, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, M2, M2 - 1, W1, X1, N2, O2, P2, N2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: M2 >= 1 34.65/14.72 f83(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f67(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: G >= 1 34.65/14.72 f81(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f83(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: A >= 1 34.65/14.72 f77(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f81(M2, 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: J >= 1 34.65/14.72 f67(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f77(A, B, C, D, E, F, M2, H - 1, N2, O2, 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: H >= 1 && N2 >= 1 34.65/14.72 f67(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f104(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, 0, T, U, 0, 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, M2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: 0 >= H 34.65/14.72 f42(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(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, 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, C2, D, E2, F2, G2, H2, I2, J2, K2, L2)) :|: 0 >= F 34.65/14.72 f42(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(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, 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, C2, D, E2, F2, G2, H2, I2, J2, K2, L2)) :|: F >= 1 34.65/14.72 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, 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f42(A, B - 1, M2, M2, N2, O2, 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2)) :|: B >= 1 && M2 >= 1 && N2 >= 1 34.65/14.72 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, 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f67(A, B, C, D, E, F, G, N2, I, J, K, L, M, N, O, P, Q, R, 0, T, U, 0, 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, C2, D2, M2, N2, G2, H2, I2, J2, K2, L2)) :|: 0 >= B 34.65/14.72 f0(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f31(A, N2, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, 0, T, U, 0, W, X, Y, 0, 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, C2, D2, E2, F2, M2, 0, N2, J2, K2, L2)) :|: 0 >= M2 34.65/14.72 f0(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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2) -> Com_1(f31(A, P2, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, 0, T, U, 0, W, X, Y, 0, 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, C2, D2, E2, F2, M2, 0, P2, N2, O2, 0)) :|: M2 >= 1 34.65/14.72 34.65/14.72 The start-symbols are:[f0_64] 34.65/14.72 34.65/14.72 34.65/14.72 ---------------------------------------- 34.65/14.72 34.65/14.72 (1) Loat Proof (FINISHED) 34.65/14.72 34.65/14.72 34.65/14.72 ### Pre-processing the ITS problem ### 34.65/14.72 34.65/14.72 34.65/14.72 34.65/14.72 Initial linear ITS problem 34.65/14.72 34.65/14.72 Start location: f0 34.65/14.72 34.65/14.72 0: f81 -> f83 : [ 0>=A ], cost: 1 34.65/14.72 34.65/14.72 21: f81 -> f83 : [ A>=1 ], cost: 1 34.65/14.72 34.65/14.72 1: f31 -> f31 : B'=-1+B, C'=free, D'=free, [ 0>=free && B>=1 ], cost: 1 34.65/14.72 34.65/14.72 2: f31 -> f42 : B'=-1+B, C'=free_3, D'=free_3, E'=free_2, F'=free_1, [ B>=1 && free_3>=1 && 0>=free_2 ], cost: 1 34.65/14.72 34.65/14.72 27: f31 -> f42 : B'=-1+B, C'=free_45, D'=free_45, E'=free_44, F'=free_43, [ B>=1 && free_45>=1 && free_44>=1 ], cost: 1 34.65/14.72 34.65/14.72 28: f31 -> f67 : E2'=free_46, F2'=free_47, H'=free_47, S'=0, V'=0, [ 0>=B ], cost: 1 34.65/14.72 34.65/14.72 3: f83 -> f67 : [ 0>=G ], cost: 1 34.65/14.72 34.65/14.72 20: f83 -> f67 : [ G>=1 ], cost: 1 34.65/14.72 34.65/14.72 4: f67 -> f77 : G'=free_6, H'=-1+H, Q'=free_5, J'=free_4, [ H>=1 && 0>=free_5 ], cost: 1 34.65/14.72 34.65/14.72 23: f67 -> f77 : G'=free_41, H'=-1+H, Q'=free_40, J'=free_39, [ H>=1 && free_40>=1 ], cost: 1 34.65/14.72 34.65/14.72 24: f67 -> f104 : C2'=free_42, S'=0, V'=0, [ 0>=H ], cost: 1 34.65/14.72 34.65/14.72 5: f77 -> f81 : A'=free_7, [ 0>=J ], cost: 1 34.65/14.72 34.65/14.72 22: f77 -> f81 : A'=free_38, [ J>=1 ], cost: 1 34.65/14.72 34.65/14.72 6: f237 -> f237 : [], cost: 1 34.65/14.72 34.65/14.72 7: f239 -> f242 : A1'=B, A2'=C, B'=D, B1'=E, B2'=F, C'=G, C1'=H, C2'=Q, D'=J, D1'=K, D2'=L, E'=M, E1'=N, E2'=O, F'=P, F1'=Q_1, F2'=R, G'=S, G1'=T, G2'=U, H'=V, H1'=W, H2'=X, Q'=Y, Q1'=Z, Q2'=A1, J'=B1, J1'=C1, J2'=D1, K'=E1, K1'=F1, K2'=G1, L'=H1, L1'=Q1, L2'=J1, M'=K1, M1'=L1, M2'=M1, N'=N1, N1'=O1, N2'=P1, O'=Q1_1, O1'=R1, O2'=S1, P'=T1, P1'=U1, P2'=V1, Q_1'=W1, Q1_1'=X1, Q2_1'=Y1, R'=Z1, R1'=A2, S'=B2, S1'=C2, T'=D2, T1'=E2, U'=F2, U1'=G2, V'=H2, V1'=Q2, W'=J2, W1'=K2, X'=L2, [], cost: 1 34.65/14.72 34.65/14.72 8: f211 -> f211 : L'=0, M'=free_9, N'=free_8, O'=0, P'=0, Q_1'=2, R'=free_9, [ K>=1 && 0>=free_8 ], cost: 1 34.65/14.72 34.65/14.72 9: f211 -> f211 : K'=-1+K, L'=0, M'=free_11, N'=free_10, O'=0, P'=0, Q_1'=2, R'=free_11, [ K>=1 && free_10>=1 ], cost: 1 34.65/14.72 34.65/14.72 10: f211 -> f237 : S'=0, T'=free_12, [ 0>=K ], cost: 1
popout
output may be truncated. 'popout' for the full output.
job log
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actions
all output
return to Complexity_ITS 2019-03-21 04.46