details

property	value
status	complete
benchmark	traverse_twice.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n155.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	24.0515 seconds
cpu usage	71.8442
user time	70.2905
system time	1.55375
max virtual memory	1.919196E7
max residence set size	610220.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

71.61/23.99 WORST_CASE(NON_POLY, ?) 71.74/24.01 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 71.74/24.01 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 71.74/24.01 71.74/24.01 71.74/24.01 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). 71.74/24.01 71.74/24.01 (0) CpxIntTrs 71.74/24.01 (1) Loat Proof [FINISHED, 22.0 s] 71.74/24.01 (2) BOUNDS(INF, INF) 71.74/24.01 71.74/24.01 71.74/24.01 ---------------------------------------- 71.74/24.01 71.74/24.01 (0) 71.74/24.01 Obligation: 71.74/24.01 Complexity Int TRS consisting of the following rules: 71.74/24.01 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f20(D, Y1, Z1, D, 0, W1, A2, B2, C2, D2, E2, C, C, C, X1, 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)) :|: A >= B && A >= 0 && W1 >= 2 && 0 >= C + 1 && X1 >= W1 && D >= W1 && E >= 0 && E <= 0 71.74/24.01 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f20(D, Y1, Z1, D, 0, W1, A2, B2, C2, D2, E2, C, C, C, X1, 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)) :|: A >= B && A >= 0 && W1 >= 2 && C >= 1 && X1 >= W1 && D >= W1 && E >= 0 && E <= 0 71.74/24.01 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f13(1 + A, B, K, D, E, F, G, H, I, K, W1, L, M, N, O, Y1, A, 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)) :|: B >= A + 1 && A >= 0 71.74/24.01 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f20(A, B, C, D, 1, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, 1 + D, A2, D, 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)) :|: A >= 0 && W1 >= 2 && 0 >= N + 1 && B2 >= W1 && 0 >= Y1 + 1 && E >= 1 && E <= 1 71.74/24.01 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f20(A, B, C, D, 1, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, 1 + D, A2, D, 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)) :|: A >= 0 && W1 >= 2 && 0 >= N + 1 && B2 >= W1 && Y1 >= 1 && E >= 1 && E <= 1 71.74/24.01 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f20(A, B, C, D, 1, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, 1 + D, A2, D, 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)) :|: A >= 0 && W1 >= 2 && N >= 1 && B2 >= W1 && 0 >= Y1 + 1 && E >= 1 && E <= 1 71.74/24.01 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, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f20(A, B, C, D, 1, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, 1 + D, A2, D, 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)) :|: A >= 0 && W1 >= 2 && N >= 1 && B2 >= W1 && Y1 >= 1 && E >= 1 && E <= 1 71.74/24.01 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, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f20(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, Z1, A2, 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)) :|: U >= 0 && W1 >= 2 && 0 >= N + 1 && 0 >= Y1 + 1 && 0 >= A2 + 1 71.74/24.01 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, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f20(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, Z1, A2, 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)) :|: U >= 0 && W1 >= 2 && 0 >= N + 1 && 0 >= Y1 + 1 && A2 >= 1 71.74/24.01 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, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f20(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, Z1, A2, 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)) :|: U >= 0 && W1 >= 2 && 0 >= N + 1 && Y1 >= 1 && 0 >= A2 + 1 71.74/24.01 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, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f20(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, Z1, A2, 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)) :|: U >= 0 && W1 >= 2 && 0 >= N + 1 && Y1 >= 1 && A2 >= 1 71.74/24.01 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, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f20(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, Z1, A2, 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)) :|: U >= 0 && W1 >= 2 && N >= 1 && 0 >= Y1 + 1 && 0 >= A2 + 1 71.74/24.01 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, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f20(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, Z1, A2, 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)) :|: U >= 0 && W1 >= 2 && N >= 1 && 0 >= Y1 + 1 && A2 >= 1 71.74/24.01 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, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f20(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, Z1, A2, 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)) :|: U >= 0 && W1 >= 2 && N >= 1 && Y1 >= 1 && 0 >= A2 + 1 71.74/24.01 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, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f20(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, Z1, A2, 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)) :|: U >= 0 && W1 >= 2 && N >= 1 && Y1 >= 1 && A2 >= 1 71.74/24.01 f20(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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, L, L, L, O, P, Q, R, S, T, U, V, W, E, 0, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: E >= 0 && D >= 0 && W1 >= 2 && 0 >= L + 1 && X >= E && X <= E && N >= 0 && N <= 0 && Y >= 0 && Y <= 0 71.74/24.01 f20(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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, L, L, L, O, P, Q, R, S, T, U, V, W, E, 0, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: E >= 0 && D >= 0 && W1 >= 2 && L >= 1 && X >= E && X <= E && N >= 0 && N <= 0 && Y >= 0 && Y <= 0 71.74/24.01 f20(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) -> Com_1(f20(A, B, C, -(1) + D, 1 + E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, X, Y, N, A2, 1 + E, -(1) + D, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: E >= 0 && D >= 0 && W1 >= 2 && 0 >= B2 + 1 && 0 >= Y1 + 1 && 0 >= A2 + 1 71.74/24.01 f20(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) -> Com_1(f20(A, B, C, -(1) + D, 1 + E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, X, Y, N, A2, 1 + E, -(1) + D, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: E >= 0 && D >= 0 && W1 >= 2 && 0 >= B2 + 1 && 0 >= Y1 + 1 && A2 >= 1 71.74/24.01 f20(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) -> Com_1(f20(A, B, C, -(1) + D, 1 + E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, X, Y, N, A2, 1 + E, -(1) + D, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: E >= 0 && D >= 0 && W1 >= 2 && 0 >= B2 + 1 && Y1 >= 1 && 0 >= A2 + 1 71.74/24.01 f20(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) -> Com_1(f20(A, B, C, -(1) + D, 1 + E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, X, Y, N, A2, 1 + E, -(1) + D, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: E >= 0 && D >= 0 && W1 >= 2 && 0 >= B2 + 1 && Y1 >= 1 && A2 >= 1 71.74/24.01 f20(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) -> Com_1(f20(A, B, C, -(1) + D, 1 + E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, X, Y, N, A2, 1 + E, -(1) + D, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: E >= 0 && D >= 0 && W1 >= 2 && B2 >= 1 && 0 >= Y1 + 1 && 0 >= A2 + 1 71.74/24.01 f20(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) -> Com_1(f20(A, B, C, -(1) + D, 1 + E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, X, Y, N, A2, 1 + E, -(1) + D, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: E >= 0 && D >= 0 && W1 >= 2 && B2 >= 1 && 0 >= Y1 + 1 && A2 >= 1 71.74/24.01 f20(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) -> Com_1(f20(A, B, C, -(1) + D, 1 + E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, X, Y, N, A2, 1 + E, -(1) + D, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: E >= 0 && D >= 0 && W1 >= 2 && B2 >= 1 && Y1 >= 1 && 0 >= A2 + 1 71.74/24.01 f20(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) -> Com_1(f20(A, B, C, -(1) + D, 1 + E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, X, Y, N, A2, 1 + E, -(1) + D, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: E >= 0 && D >= 0 && W1 >= 2 && B2 >= 1 && Y1 >= 1 && A2 >= 1 71.74/24.01 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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, Z1, A2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: D1 >= 0 && W1 >= 2 && 0 >= N + 1 && 0 >= Y1 + 1 && 0 >= A2 + 1 71.74/24.01 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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, Z1, A2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: D1 >= 0 && W1 >= 2 && 0 >= N + 1 && 0 >= Y1 + 1 && A2 >= 1 71.74/24.01 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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, Z1, A2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: D1 >= 0 && W1 >= 2 && 0 >= N + 1 && Y1 >= 1 && 0 >= A2 + 1 71.74/24.01 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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, Z1, A2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: D1 >= 0 && W1 >= 2 && 0 >= N + 1 && Y1 >= 1 && A2 >= 1 71.74/24.01 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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, Z1, A2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: D1 >= 0 && W1 >= 2 && N >= 1 && 0 >= Y1 + 1 && 0 >= A2 + 1 71.74/24.01 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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, Z1, A2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: D1 >= 0 && W1 >= 2 && N >= 1 && 0 >= Y1 + 1 && A2 >= 1 71.74/24.01 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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, Z1, A2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: D1 >= 0 && W1 >= 2 && N >= 1 && Y1 >= 1 && 0 >= A2 + 1 71.74/24.01 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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, Z1, A2, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: D1 >= 0 && W1 >= 2 && N >= 1 && Y1 >= 1 && A2 >= 1 71.74/24.01 f11(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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, -(1) + X, 1 + Y, Z, A1, B1, C1, D1, E1, F1, N, A2, 1 + Y, -(1) + X, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: Y >= 0 && X >= 0 && W1 >= 2 && 0 >= B2 + 1 && 0 >= Y1 + 1 && 0 >= A2 + 1 71.74/24.01 f11(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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, -(1) + X, 1 + Y, Z, A1, B1, C1, D1, E1, F1, N, A2, 1 + Y, -(1) + X, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: Y >= 0 && X >= 0 && W1 >= 2 && 0 >= B2 + 1 && 0 >= Y1 + 1 && A2 >= 1 71.74/24.01 f11(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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, -(1) + X, 1 + Y, Z, A1, B1, C1, D1, E1, F1, N, A2, 1 + Y, -(1) + X, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: Y >= 0 && X >= 0 && W1 >= 2 && 0 >= B2 + 1 && Y1 >= 1 && 0 >= A2 + 1 71.74/24.01 f11(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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, -(1) + X, 1 + Y, Z, A1, B1, C1, D1, E1, F1, N, A2, 1 + Y, -(1) + X, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: Y >= 0 && X >= 0 && W1 >= 2 && 0 >= B2 + 1 && Y1 >= 1 && A2 >= 1 71.74/24.01 f11(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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, -(1) + X, 1 + Y, Z, A1, B1, C1, D1, E1, F1, N, A2, 1 + Y, -(1) + X, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: Y >= 0 && X >= 0 && W1 >= 2 && B2 >= 1 && 0 >= Y1 + 1 && 0 >= A2 + 1 71.74/24.01 f11(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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, -(1) + X, 1 + Y, Z, A1, B1, C1, D1, E1, F1, N, A2, 1 + Y, -(1) + X, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: Y >= 0 && X >= 0 && W1 >= 2 && B2 >= 1 && 0 >= Y1 + 1 && A2 >= 1 71.74/24.01 f11(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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, -(1) + X, 1 + Y, Z, A1, B1, C1, D1, E1, F1, N, A2, 1 + Y, -(1) + X, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: Y >= 0 && X >= 0 && W1 >= 2 && B2 >= 1 && Y1 >= 1 && 0 >= A2 + 1 71.74/24.01 f11(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) -> Com_1(f11(A, B, C, D, E, W1, G, H, I, J, K, Y1, Y1, N, O, P, Q, Z1, S, T, U, V, W, -(1) + X, 1 + Y, Z, A1, B1, C1, D1, E1, F1, N, A2, 1 + Y, -(1) + X, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1)) :|: Y >= 0 && X >= 0 && W1 >= 2 && B2 >= 1 && Y1 >= 1 && A2 >= 1 71.74/24.01 f4(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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, 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, 0, Y1, 0, Y1, K1, R1, S1, T1, U1, V1)) :|: Z1 >= K1 + 1 && L1 >= 0 && W1 >= 2 && Y1 >= Z1 + 1 && 0 >= Y1 + 1 && M1 >= 0 && M1 <= 0 71.74/24.01 f4(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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, 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, 0, Y1, 0, Y1, K1, R1, S1, T1, U1, V1)) :|: Z1 >= K1 + 1 && L1 >= 0 && W1 >= 2 && Y1 >= Z1 + 1 && Y1 >= 1 && M1 >= 0 && M1 <= 0 71.74/24.01 f4(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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, 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, 0, Y1, 0, Y1, K1, R1, S1, T1, U1, V1)) :|: Z1 >= K1 + 1 && L1 >= 0 && W1 >= 2 && Z1 >= Y1 + 1 && 0 >= Y1 + 1 && M1 >= 0 && M1 <= 0 71.74/24.01 f4(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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, 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, 0, Y1, 0, Y1, K1, R1, S1, T1, U1, V1)) :|: Z1 >= K1 + 1 && L1 >= 0 && W1 >= 2 && Z1 >= Y1 + 1 && Y1 >= 1 && M1 >= 0 && M1 <= 0 71.74/24.01 f4(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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, 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, 0, Y1, 0, Y1, K1, R1, S1, T1, U1, V1)) :|: K1 >= Z1 + 1 && L1 >= 0 && W1 >= 2 && Y1 >= Z1 + 1 && 0 >= Y1 + 1 && M1 >= 0 && M1 <= 0 71.74/24.01 f4(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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, 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, 0, Y1, 0, Y1, K1, R1, S1, T1, U1, V1)) :|: K1 >= Z1 + 1 && L1 >= 0 && W1 >= 2 && Y1 >= Z1 + 1 && Y1 >= 1 && M1 >= 0 && M1 <= 0 71.74/24.01 f4(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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, 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, 0, Y1, 0, Y1, K1, R1, S1, T1, U1, V1)) :|: K1 >= Z1 + 1 && L1 >= 0 && W1 >= 2 && Z1 >= Y1 + 1 && 0 >= Y1 + 1 && M1 >= 0 && M1 <= 0 71.74/24.01 f4(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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, 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, 0, Y1, 0, Y1, K1, R1, S1, T1, U1, V1)) :|: K1 >= Z1 + 1 && L1 >= 0 && W1 >= 2 && Z1 >= Y1 + 1 && Y1 >= 1 && M1 >= 0 && M1 <= 0 71.74/24.01 f4(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) -> Com_1(f22(A, B, C, D, E, W1, G, Y1, I, J, K, Z1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, E2, L1, D2, A2, B2, C2, X1, R1, S1, T1, U1, V1)) :|: L1 >= 0 && 0 >= Z1 + 1 && W1 >= 2 && M1 >= K1 && M1 <= K1 71.74/24.01 f4(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) -> Com_1(f22(A, B, C, D, E, W1, G, Y1, I, J, K, Z1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, E2, L1, D2, A2, B2, C2, X1, R1, S1, T1, U1, V1)) :|: L1 >= 0 && Z1 >= 1 && W1 >= 2 && M1 >= K1 && M1 <= K1 71.74/24.01 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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, M, N, O, P, Q, Z1, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, 0, Y1, 0, Y1, K1, -(1) + R1, -(1) + R1, T1, U1, V1)) :|: A2 >= K1 + 1 && R1 >= 0 && W1 >= 2 && Y1 >= A2 + 1 && 0 >= Y1 + 1 && M1 >= 0 && M1 <= 0 71.74/24.01 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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, M, N, O, P, Q, Z1, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, 0, Y1, 0, Y1, K1, -(1) + R1, -(1) + R1, T1, U1, V1)) :|: A2 >= K1 + 1 && R1 >= 0 && W1 >= 2 && Y1 >= A2 + 1 && Y1 >= 1 && M1 >= 0 && M1 <= 0 71.74/24.01 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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, M, N, O, P, Q, Z1, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, 0, Y1, 0, Y1, K1, -(1) + R1, -(1) + R1, T1, U1, V1)) :|: A2 >= K1 + 1 && R1 >= 0 && W1 >= 2 && A2 >= Y1 + 1 && 0 >= Y1 + 1 && M1 >= 0 && M1 <= 0 71.74/24.01 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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, M, N, O, P, Q, Z1, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, 0, Y1, 0, Y1, K1, -(1) + R1, -(1) + R1, T1, U1, V1)) :|: A2 >= K1 + 1 && R1 >= 0 && W1 >= 2 && A2 >= Y1 + 1 && Y1 >= 1 && M1 >= 0 && M1 <= 0 71.74/24.01 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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, M, N, O, P, Q, Z1, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, 0, Y1, 0, Y1, K1, -(1) + R1, -(1) + R1, T1, U1, V1)) :|: K1 >= A2 + 1 && R1 >= 0 && W1 >= 2 && Y1 >= A2 + 1 && 0 >= Y1 + 1 && M1 >= 0 && M1 <= 0 71.74/24.01 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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, M, N, O, P, Q, Z1, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, 0, Y1, 0, Y1, K1, -(1) + R1, -(1) + R1, T1, U1, V1)) :|: K1 >= A2 + 1 && R1 >= 0 && W1 >= 2 && Y1 >= A2 + 1 && Y1 >= 1 && M1 >= 0 && M1 <= 0 71.74/24.01 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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, M, N, O, P, Q, Z1, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, 0, Y1, 0, Y1, K1, -(1) + R1, -(1) + R1, T1, U1, V1)) :|: K1 >= A2 + 1 && R1 >= 0 && W1 >= 2 && A2 >= Y1 + 1 && 0 >= Y1 + 1 && M1 >= 0 && M1 <= 0 71.74/24.01 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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, Y1, M, N, O, P, Q, Z1, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, 0, Y1, 0, Y1, K1, -(1) + R1, -(1) + R1, T1, U1, V1)) :|: K1 >= A2 + 1 && R1 >= 0 && W1 >= 2 && A2 >= Y1 + 1 && Y1 >= 1 && M1 >= 0 && M1 <= 0 71.74/24.01 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) -> Com_1(f22(A, B, C, D, E, W1, G, Y1, 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, D2, L1, C2, Z1, A2, B2, E2, R1, S1, T1, U1, V1)) :|: W1 >= 2 && R1 >= 0 && M1 >= K1 && M1 <= K1 71.74/24.01 f21(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) -> Com_1(f13(2, Y1, Z1, D, E, Y1, G, H, Z1, Z1, A2, 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, W1, B2, V1)) :|: Y1 >= 2 71.74/24.01 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, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f11(A, B, C, D, X + 1, W1, G, H, I, J, K, Y1, Y1, L, O, P, Q, Z1, S, T, U, V, W, X, 1, Z, A1, B1, C1, X, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, A2)) :|: B2 >= 2 && W1 >= 2 && U >= 0 && 0 >= L + 1 && 0 >= Y1 + 1 && N >= 0 && N <= 0 && E >= 1 && E <= 1 && Y >= 1 && Y <= 1 71.74/24.01 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, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f11(A, B, C, D, X + 1, W1, G, H, I, J, K, Y1, Y1, L, O, P, Q, Z1, S, T, U, V, W, X, 1, Z, A1, B1, C1, X, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, A2)) :|: B2 >= 2 && W1 >= 2 && U >= 0 && 0 >= L + 1 && Y1 >= 1 && N >= 0 && N <= 0 && E >= 1 && E <= 1 && Y >= 1 && Y <= 1 71.74/24.01 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, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f11(A, B, C, D, X + 1, W1, G, H, I, J, K, Y1, Y1, L, O, P, Q, Z1, S, T, U, V, W, X, 1, Z, A1, B1, C1, X, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, A2)) :|: B2 >= 2 && W1 >= 2 && U >= 0 && L >= 1 && 0 >= Y1 + 1 && N >= 0 && N <= 0 && E >= 1 && E <= 1 && Y >= 1 && Y <= 1 71.74/24.01 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, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, V1) -> Com_1(f11(A, B, C, D, X + 1, W1, G, H, I, J, K, Y1, Y1, L, O, P, Q, Z1, S, T, U, V, W, X, 1, Z, A1, B1, C1, X, E1, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, P1, Q1, R1, S1, T1, U1, A2)) :|: B2 >= 2 && W1 >= 2 && U >= 0 && L >= 1 && Y1 >= 1 && N >= 0 && N <= 0 && E >= 1 && E <= 1 && Y >= 1 && Y <= 1 71.74/24.01 f21(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) -> Com_1(f22(B2, Z1, A2, D, E, Y1, C2, D2, E2, X1, J2, 0, K2, L2, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, Q2, L1, P2, M2, N2, O2, R2, R1, S1, W1, U1, V1)) :|: 0 >= F2 && 0 >= G2 && 0 >= H2 && 0 >= Y1 && 0 >= I2 71.74/24.01 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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, L, Y1, Z1, O, P, Q, R, S, T, U, V, W, X, R1 + 1, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, L, R1, 0, L, 0, L, L, R1, S1, T1, U1, V1)) :|: A2 >= 2 && W1 >= 2 && D1 >= 0 && L >= 1 && 0 >= L + 1 && N >= 0 && N <= 0 && Y >= 1 && Y <= 1 71.74/24.01 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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, L, Y1, Z1, O, P, Q, R, S, T, U, V, W, X, R1 + 1, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, L, R1, 0, L, 0, L, L, R1, S1, T1, U1, V1)) :|: A2 >= 2 && W1 >= 2 && D1 >= 0 && L >= 1 && N >= 0 && N <= 0 && Y >= 1 && Y <= 1 71.74/24.01 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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, L, Y1, Z1, O, P, Q, R, S, T, U, V, W, X, R1 + 1, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, L, R1, 0, L, 0, L, L, R1, S1, T1, U1, V1)) :|: A2 >= 2 && W1 >= 2 && D1 >= 0 && 0 >= L + 1 && N >= 0 && N <= 0 && Y >= 1 && Y <= 1 71.74/24.01 f11(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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, L, Y1, Z1, O, P, Q, R, S, T, U, V, W, X, R1 + 1, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, L, R1, 0, L, 0, L, L, R1, S1, T1, U1, V1)) :|: A2 >= 2 && W1 >= 2 && X >= 0 && Y >= 0 && L >= 1 && 0 >= L + 1 && N >= 0 && N <= 0 71.74/24.01 f11(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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, L, Y1, Z1, O, P, Q, R, S, T, U, V, W, X, R1 + 1, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, L, R1, 0, L, 0, L, L, R1, S1, T1, U1, V1)) :|: A2 >= 2 && W1 >= 2 && X >= 0 && Y >= 0 && L >= 1 && N >= 0 && N <= 0 71.74/24.01 f11(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) -> Com_1(f5(A, B, C, D, E, W1, G, H, I, J, K, L, Y1, Z1, O, P, Q, R, S, T, U, V, W, X, R1 + 1, Z, A1, B1, C1, D1, E1, F1, G1, H1, I1, J1, L, R1, 0, L, 0, L, L, R1, S1, T1, U1, V1)) :|: A2 >= 2 && W1 >= 2 && X >= 0 && Y >= 0 && 0 >= L + 1 && N >= 0 && N <= 0 71.74/24.01 71.74/24.01 The start-symbols are:[f21_48] 71.74/24.01 71.74/24.01 71.74/24.01 ---------------------------------------- 71.74/24.01 71.74/24.01 (1) Loat Proof (FINISHED) 71.74/24.01 71.74/24.01 71.74/24.01 ### Pre-processing the ITS problem ### 71.74/24.01 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