details

property	value
status	complete
benchmark	fun10b.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n071.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	2.97832 seconds
cpu usage	8.08481
user time	7.79422
system time	0.290591
max virtual memory	1.8526912E7
max residence set size	319888.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

7.89/2.91 WORST_CASE(NON_POLY, ?) 8.02/2.93 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 8.02/2.93 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 8.02/2.93 8.02/2.93 8.02/2.93 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). 8.02/2.93 8.02/2.93 (0) CpxIntTrs 8.02/2.93 (1) Loat Proof [FINISHED, 992 ms] 8.02/2.93 (2) BOUNDS(INF, INF) 8.02/2.93 8.02/2.93 8.02/2.93 ---------------------------------------- 8.02/2.93 8.02/2.93 (0) 8.02/2.93 Obligation: 8.02/2.93 Complexity Int TRS consisting of the following rules: 8.02/2.93 f38(A, B, C, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f17(A, B, C, B, C, -(G) + U5, G, U5, -(G) + U5, U5, V5, T5, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: T5 >= 1 + A && B >= 1 + C 8.02/2.93 f19(A, B, C, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f34(A, B, C, N, O, F, G, H, I, J, K, L, M, N, O, Q, V5, U5, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: U5 >= 1 + M && N >= 1 + O 8.02/2.93 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, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f34(A, B, C, T, U, F, G, H, I, J, K, L, M, N, O, U5, Q, R, S, T, U, V5, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: V5 >= 1 + S && T >= 1 + U 8.02/2.93 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, W1, X1, Y1, Z1, A2, B2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f0(A, B, C, U5, Y5, F, W, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, V5, X, Y, Z, A1, B1, C1, T5, W5, Z5, A6, B6, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: 0 >= W && 0 >= V5 && X >= 1 + Y && Z >= 1 + A1 && W5 >= 1 + B1 && X5 >= 1 + C1 8.02/2.93 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, W1, X1, Y1, Z1, A2, B2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f0(A, B, C, U5, Y5, F, W, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, V5, X, Y, Z, A1, B1, C1, T5, W5, F1, G1, B6, I1, J1, K1, L1, M1, N1, Z5, A6, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: W >= 1 && 0 >= W && 0 >= V5 && I1 >= 1 + J1 && X5 >= 1 + K1 && L1 >= 1 + M1 && W5 >= 1 + N1 8.02/2.93 f33(A, B, C, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f34(A, B, C, R1, S1, F, Q1, H, I, J, K, L, M, N, O, Q, V5, U5, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: Q1 >= 1 && R1 >= 1 + S1 && 0 >= T1 && U5 >= 1 + U1 8.02/2.93 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, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f34(A, B, C, R1, S1, F, V1, H, I, J, K, L, M, N, O, Q, V5, U5, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: V1 >= 1 && R1 >= 1 + S1 && 0 >= W1 && U5 >= 1 + U1 8.02/2.93 f33(A, B, C, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f17(A, B, C, Z1, A2, F, X1, H, U5, V5, T5, W5, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: X1 >= 1 && T1 >= 1 && W5 >= 1 + Y1 && Z1 >= 1 + A2 8.02/2.93 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, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f17(A, B, C, Z1, A2, F, B2, H, U5, V5, T5, W5, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: B2 >= 1 && W1 >= 1 && W5 >= 1 + Y1 && Z1 >= 1 + A2 8.02/2.93 f35(A, B, C, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f35(A, B, C, D2, E2, F, C2, H, I, J, K, L, M, N, O, Q, V5, U5, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: C2 >= 1 && D2 >= 1 + E2 && 0 >= F2 && U5 >= 1 + G2 8.02/2.93 f35(A, B, C, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f0(A, B, C, U5, Y5, F, W, H, I, J, B6, D6, M, N, O, P, Q, R, S, T, U, V, V5, X, Y, Z, A1, B1, C1, T5, W5, F1, G1, F6, 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, M2, N2, O2, P2, Q2, Z5, A6, X5, E6, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: 0 >= W && 0 >= V5 && H2 >= 1 && F2 >= 1 && I2 >= 1 + J2 && K2 >= 1 + L2 && M2 >= 1 + N2 && C6 >= 1 + O2 && W5 >= 1 + P2 && D6 >= 1 + Q2 8.02/2.93 f36(A, B, C, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f36(A, B, C, V2, W2, F, U5, H, I, J, K, L, M, N, O, Q, T5, V5, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, U5, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: 0 >= U5 && V2 >= 1 + W2 && 0 >= X2 && V5 >= 1 + Y2 8.02/2.93 f36(A, B, C, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f0(A, B, C, U5, Y5, F, W, H, I, J, B6, X5, M, N, O, P, Q, R, S, T, U, V, V5, X, Y, Z, A1, B1, C1, T5, W5, F1, G1, C6, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, Z5, A6, D6, E6, F6, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: 0 >= W && 0 >= F6 && 0 >= V5 && X2 >= 1 && A3 >= 1 + B3 && C3 >= 1 + D3 && E3 >= 1 + F3 && G6 >= 1 + G3 && W5 >= 1 + H3 && X5 >= 1 + I3 8.02/2.93 f10(A, B, C, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f34(A, B, C, P3, Q3, F, O3, H, I, J, K, L, M, N, O, U5, Q, R, S, T, U, V5, -(1) + 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: W >= 1 && O3 >= 1 && P3 >= 1 + Q3 && V5 >= 1 + R3 8.02/2.93 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, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f34(A, B, C, P3, Q3, F, S3, H, I, J, K, L, M, N, O, U5, Q, R, S, T, U, V5, -(1) + 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: W >= 1 && S3 >= 1 && T3 >= 1 + U3 && V3 >= 1 + W3 && T5 >= 1 + X3 && W5 >= 1 + Y3 && P3 >= 1 + Q3 && V5 >= 1 + R3 8.02/2.93 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, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f34(A, B, C, P3, Q3, F, S3, H, I, J, K, L, M, N, O, W5, Q, R, S, T, U, Y5, -(1) + W, X, Y, Z, A1, B1, C1, U5, T5, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, V5, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: W >= 1 && S3 >= 1 && Z3 >= 1 + A4 && B4 >= 1 + C4 && Z5 >= 1 + D4 && Y5 >= 1 + R3 && P3 >= 1 + Q3 && T5 >= 1 + E4 8.02/2.93 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, W1, X1, Y1, Z1, A2, B2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f34(A, B, C, P3, Q3, G1, S3, -(W) + W5, -(W) + W5, W5, K, L, M, N, O, Y5, Q, R, S, T, U, Z5, -(1) + W, X, Y, Z, A1, B1, C1, U5, V5, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, G1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, T5, W5, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: W >= 1 && S3 >= 1 && G4 >= 1 + H4 && I4 >= 1 + J4 && A6 >= 1 + K4 && Z5 >= 1 + R3 && P3 >= 1 + Q3 && V5 >= 1 + L4 8.02/2.93 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, W1, X1, Y1, Z1, A2, B2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f34(A, B, C, P3, Q3, F, S3, H, I, J, K, L, M, N, O, Y5, Q, R, S, T, U, Z5, -(1) + W, X, Y, Z, A1, B1, C1, U5, V5, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, W5, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, T5, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: W >= 1 && S3 >= 1 && G4 >= 1 + H4 && I4 >= 1 + J4 && A6 >= 1 + K4 && Z5 >= 1 + R3 && P3 >= 1 + Q3 && V5 >= 1 + L4 8.02/2.93 f35(A, B, C, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f34(A, B, C, P3, Q3, O4, S3, -(W) + W5, -(W) + W5, W5, Y5, A6, M, N, O, B6, Q, R, S, T, U, X5, -(1) + W, X, Y, Z, A1, B1, C1, U5, V5, F1, G1, H1, I1, J1, K1, L1, M1, N1, O1, O4, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1, A2, B2, C2, D2, E2, F2, G2, H2, I2, J2, K2, L2, M2, N2, O2, P2, Q2, R2, S2, Z5, W5, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, T5, W5, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: W >= 1 && S3 >= 1 && H2 >= 1 && F2 >= 1 && G4 >= 1 + H4 && I2 >= 1 + J2 && I4 >= 1 + J4 && D6 >= 1 + K4 && X5 >= 1 + R3 && A6 >= 1 + Q2 && P3 >= 1 + Q3 && V5 >= 1 + L4 8.02/2.93 f36(A, B, C, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f34(A, B, C, P3, Q3, F, S3, H, I, J, Y5, Z5, M, N, O, B6, Q, R, S, T, U, E6, -(1) + W, X, Y, Z, A1, B1, C1, U5, V5, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, W5, A6, X5, D6, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, T5, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5)) :|: W >= 1 && 0 >= D6 && S3 >= 1 && X2 >= 1 && A3 >= 1 + B3 && P4 >= 1 + Q4 && F6 >= 1 + R4 && E6 >= 1 + R3 && Z5 >= 1 + I3 && V5 >= 1 + S4 && T4 >= 1 + U4 && P3 >= 1 + Q3 8.02/2.93 f14(A, B, C, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f36(A, B, C, Y4, Z4, F, V5, H, I, J, K, L, M, N, O, T5, Q, R, S, T, U, W5, -(1) + U5, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, U5, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, V5, Y5, Z5, A6, B6, X5, D6, E6, F6, U5, M5, N5, O5, P5, Q5, R5, S5)) :|: 0 >= A6 && 0 >= V5 && U5 >= 1 && Z5 >= 1 + W4 && W5 >= 1 + X4 && Y4 >= 1 + Z4 && A5 >= 1 + B5 8.02/2.93 f14(A, B, C, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, O4, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, D5, E5, F5, G5, H5, I5, J5, K5, L5, M5, N5, O5, P5, Q5, R5, S5) -> Com_1(f35(A, B, C, P5, Q5, F, M5, H, I, J, K, L, M, N, O, V5, Q, R, S, T, U, T5, -(1) + U5, 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, M2, N2, O2, P2, Q2, R2, S2, T2, U2, V2, W2, X2, Y2, Z2, A3, B3, C3, D3, E3, F3, G3, H3, I3, J3, K3, L3, M3, N3, O3, P3, Q3, R3, S3, T3, U3, V3, W3, X3, Y3, Z3, A4, B4, C4, D4, E4, F4, G4, H4, I4, J4, K4, L4, M4, N4, U5, P4, Q4, R4, S4, T4, U4, V4, W4, X4, Y4, Z4, A5, B5, C5, W5, Y5, Z5, A6, B6, X5, D6, E6, U5, M5, N5, O5, P5, Q5, R5, S5)) :|: Z5 >= 1 && U5 >= 1 && M5 >= 1 && Y5 >= 1 + N5 && T5 >= 1 + O5 && P5 >= 1 + Q5 && R5 >= 1 + S5 8.02/2.93 8.02/2.93 The start-symbols are:[f14_149] 8.02/2.93 8.02/2.93 8.02/2.93 ---------------------------------------- 8.02/2.93 8.02/2.93 (1) Loat Proof (FINISHED) 8.02/2.93 8.02/2.93 8.02/2.93 ### Pre-processing the ITS problem ### 8.02/2.93 8.02/2.93 8.02/2.93 8.02/2.93 Initial linear ITS problem 8.02/2.93 8.02/2.93 Start location: f14 8.02/2.93 8.02/2.93 0: f38 -> f17 : D'=B, E'=C, F'=free_1-G, H'=free_1, Q'=free_1-G, J'=free_1, K'=free, L'=free_2, [ free_2>=1+A && B>=1+C ], cost: 1 8.02/2.93 8.02/2.93 1: f19 -> f34 : D'=N, E'=O, P'=Q_1, Q_1'=free_4, R'=free_3, [ free_3>=1+M && N>=1+O ], cost: 1 8.02/2.93 8.02/2.93 2: f50 -> f34 : D'=T, E'=U, P'=free_6, V'=free_5, [ free_5>=1+S && T>=1+U ], cost: 1 8.02/2.93 8.02/2.93 3: f16 -> f0 : A1'=B, A2'=C, A3'=free_9, A4'=free_8, A5'=F, A6'=W, B'=H, B1'=Q, B2'=J, B3'=K, B4'=L, B5'=M, B6'=N, C'=O, C1'=P, C2'=Q_1, C3'=R, C4'=S, C5'=T, C6'=U, D'=V, D1'=free_10, D2'=X, D3'=Y, D4'=Z, D5'=A1, D6'=B1, E'=C1, E1'=free_13, E2'=free_7, E3'=free_14, E4'=free_11, E5'=free_12, E6'=Q1, F'=J1, F1'=K1, F2'=L1, F3'=M1, F4'=N1, F5'=O1, F6'=P1, G'=Q1_1, G1'=R1, G2'=S1, G3'=T1, G4'=U1, G5'=V1, G6'=W1, H'=X1, H1'=Y1, H2'=Z1, H3'=A2, H4'=B2, H5'=C2, Q'=D2, Q1'=E2, Q2'=F2, Q3'=G2, Q4'=H2, Q5'=Q2, J'=J2, J1'=K2, J2'=L2, J3'=M2, J4'=N2, J5'=O2, K'=P2, K1'=Q2_1, K2'=R2, K3'=S2, K4'=T2, K5'=U2, L'=V2, L1'=W2, L2'=X2, L3'=Y2, L4'=Z2, L5'=A3, M'=B3, M1'=C3, M2'=D3, M3'=E3, M4'=F3, M5'=G3, N'=H3, N1'=Q3, N2'=J3, N3'=K3, N4'=L3, N5'=M3, O'=N3, O1'=O3, O2'=P3, O3'=Q3_1, O4'=R3, O5'=S3, P'=T3, P1'=U3, P2'=V3, P3'=W3, P4'=X3, P5'=Y3, Q_1'=Z3, Q1_1'=A4, Q2_1'=B4, Q3_1'=C4, Q4_1'=D4, Q5_1'=E4, R'=F4, R1'=G4, R2'=H4, R3'=Q4, R4'=J4, R5'=K4, S'=L4, S1'=M4, S2'=N4, S3'=O4, S4'=P4, S5'=Q4_1, T'=R4, T1'=S4, T2'=T4, T3'=U4, T4'=V4, T5'=W4, U'=X4, U1'=Y4, U2'=Z4, U3'=A5, U4'=B5, U5'=C5, V'=D5, V1'=E5, V2'=F5, V3'=G5, V4'=H5, V5'=Q5, W'=J5, W1'=K5, W2'=L5, W3'=M5, W4'=N5, W5'=O5, X'=P5, X1'=Q5_1, X2'=R5, X3'=S5, [ 0>=W && 0>=free_10 && X>=1+Y && Z>=1+A1 && free_7>=1+B1 && free_15>=1+C1 ], cost: 1 8.02/2.93 8.02/2.93 16: f16 -> f34 : D'=P3, D1'=free_86, E'=Q3_1, E1'=free_81, F'=G1, G'=S3, H'=free_83-W, Q'=free_83-W, J'=free_83, M4'=free_87, N4'=free_83, P'=free_82, P1'=G1, V'=free_84, W'=-1+W, [ W>=1 && S3>=1 && G4>=1+H4 && Q4>=1+J4 && free_85>=1+K4 && free_84>=1+R3 && P3>=1+Q3_1 && free_81>=1+L4 ], cost: 1 8.02/2.93 8.02/2.93 4: f17 -> f0 : A1'=B, A2'=C, A3'=free_18, A4'=free_17, A5'=F, A6'=W, B'=H, B1'=Q, B2'=J, B3'=K, B4'=L, B5'=M, B6'=N, C'=O, C1'=P, C2'=Q_1, C3'=R, C4'=S, C5'=T, C6'=U, D'=V, D1'=free_19, D2'=X, D3'=Y, D4'=Z, D5'=A1, D6'=B1, E'=C1, E1'=free_22, E2'=free_16, E3'=F1, E4'=G1, E5'=free_23, E6'=Q1, F'=J1, F1'=K1, F2'=L1, F3'=M1, F4'=N1, F5'=free_20, F6'=free_21, G'=Q1_1, G1'=R1, G2'=S1, G3'=T1, G4'=U1, G5'=V1, G6'=W1, H'=X1, H1'=Y1, H2'=Z1, H3'=A2, H4'=B2, H5'=C2, Q'=D2, Q1'=E2, Q2'=F2, Q3'=G2, Q4'=H2, Q5'=Q2, J'=J2, J1'=K2, J2'=L2, J3'=M2, J4'=N2, J5'=O2, K'=P2, K1'=Q2_1, K2'=R2, K3'=S2, K4'=T2, K5'=U2, L'=V2, L1'=W2, L2'=X2, L3'=Y2, L4'=Z2, L5'=A3, M'=B3, M1'=C3, M2'=D3, M3'=E3, M4'=F3, M5'=G3, N'=H3, N1'=Q3, N2'=J3, N3'=K3, N4'=L3, N5'=M3, O'=N3, O1'=O3, O2'=P3, O3'=Q3_1, O4'=R3, O5'=S3, P'=T3, P1'=U3, P2'=V3, P3'=W3, P4'=X3, P5'=Y3, Q_1'=Z3, Q1_1'=A4, Q2_1'=B4, Q3_1'=C4, Q4_1'=D4, Q5_1'=E4, R'=F4, R1'=G4, R2'=H4, R3'=Q4, R4'=J4, R5'=K4, S'=L4, S1'=M4, S2'=N4, S3'=O4, S4'=P4, S5'=Q4_1, T'=R4, T1'=S4, T2'=T4, T3'=U4, T4'=V4, T5'=W4, U'=X4, U1'=Y4, U2'=Z4, U3'=A5, U4'=B5, U5'=C5, V'=D5, V1'=E5, V2'=F5, V3'=G5, V4'=H5, V5'=Q5, W'=J5, W1'=K5, W2'=L5, W3'=M5, W4'=N5, W5'=O5, X'=P5, X1'=Q5_1, X2'=R5, X3'=S5, [ W>=1 && 0>=W && 0>=free_19 && Q1>=1+J1 && free_24>=1+K1 && L1>=1+M1 && free_16>=1+N1 ], cost: 1 8.02/2.93 8.02/2.93 17: f17 -> f34 : D'=P3, D1'=free_91, E'=Q3_1, E1'=free_93, G'=S3, M4'=free_94, P'=free_90, P1'=free_88, V'=free_89, W'=-1+W, [ W>=1 && S3>=1 && G4>=1+H4 && Q4>=1+J4 && free_92>=1+K4 && free_89>=1+R3 && P3>=1+Q3_1 && free_93>=1+L4 ], cost: 1 8.02/2.93 8.02/2.93 5: f33 -> f34 : D'=R1, E'=S1, G'=Q1_1, P'=Q_1, Q_1'=free_26, R'=free_25, [ Q1_1>=1 && R1>=1+S1 && 0>=T1 && free_25>=1+U1 ], cost: 1 8.02/2.93 8.02/2.93 7: f33 -> f17 : D'=Z1, E'=A2, G'=X1, Q'=free_30, J'=free_29, K'=free_31, L'=free_32, [ X1>=1 && T1>=1 && free_32>=1+Y1 && Z1>=1+A2 ], cost: 1 8.02/2.93 8.02/2.93 6: f34 -> f34 : D'=R1, E'=S1, G'=V1, P'=Q_1, Q_1'=free_28, R'=free_27, [ V1>=1 && R1>=1+S1 && 0>=W1 && free_27>=1+U1 ], cost: 1 8.02/2.93 8.02/2.93 8: f34 -> f17 : D'=Z1, E'=A2, G'=B2, Q'=free_34, J'=free_33, K'=free_35, L'=free_36, [ B2>=1 && W1>=1 && free_36>=1+Y1 && Z1>=1+A2 ], cost: 1 8.02/2.93 8.02/2.93 9: f35 -> f35 : D'=D2, E'=E2, G'=C2, P'=Q_1, Q_1'=free_38, R'=free_37, [ C2>=1 && D2>=1+E2 && 0>=F2 && free_37>=1+G2 ], cost: 1 8.02/2.93 8.02/2.93 10: f35 -> f0 : A1'=B, A2'=C, A3'=free_42, A4'=free_41, A5'=F, A6'=W, B'=H, B1'=Q, B2'=J, B3'=free_44, B4'=free_48, B5'=M, B6'=N, C'=O, C1'=P, C2'=Q_1, C3'=R, C4'=S, C5'=T, C6'=U, D'=V, D1'=free_40, D2'=X, D3'=Y, D4'=Z, D5'=A1, D6'=B1, E'=C1, E1'=free_49, E2'=free_45, E3'=F1, E4'=G1, E5'=free_47, E6'=Q1, F'=J1, F1'=K1, F2'=L1, F3'=M1, F4'=N1, F5'=O1, F6'=P1, G'=Q1_1, G1'=R1, G2'=S1, G3'=T1, G4'=U1, G5'=V1, G6'=W1, H'=X1, H1'=Y1, H2'=Z1, H3'=A2, H4'=B2, H5'=C2, Q'=D2, Q1'=E2, Q2'=F2, Q3'=G2, Q4'=H2, Q5'=Q2, J'=J2, J1'=K2, J2'=L2, J3'=M2, J4'=N2, J5'=O2, K'=P2, K1'=Q2_1, K2'=free_51, K3'=free_39, K4'=free_43, K5'=free_46, L'=V2, L1'=W2, L2'=X2, L3'=Y2, L4'=Z2, L5'=A3, M'=B3, M1'=C3, M2'=D3, M3'=E3, M4'=F3, M5'=G3, N'=H3, N1'=Q3, N2'=J3, N3'=K3, N4'=L3, N5'=M3, O'=N3, O1'=O3, O2'=P3, O3'=Q3_1, O4'=R3, O5'=S3, P'=T3, P1'=U3, P2'=V3, P3'=W3, P4'=X3, P5'=Y3, Q_1'=Z3, Q1_1'=A4, Q2_1'=B4, Q3_1'=C4, Q4_1'=D4, Q5_1'=E4, R'=F4, R1'=G4, R2'=H4, R3'=Q4, R4'=J4, R5'=K4, S'=L4, S1'=M4, S2'=N4, S3'=O4, S4'=P4, S5'=Q4_1, T'=R4, T1'=S4, T2'=T4, T3'=U4, T4'=V4, T5'=W4, U'=X4, U1'=Y4, U2'=Z4, U3'=A5, U4'=B5, U5'=C5, V'=D5, V1'=E5, V2'=F5, V3'=G5, V4'=H5, V5'=Q5, W'=J5, W1'=K5, W2'=L5, W3'=M5, W4'=N5, W5'=O5, X'=P5, X1'=Q5_1, X2'=R5, X3'=S5, [ 0>=W && 0>=free_40 && H2>=1 && F2>=1 && Q2>=1+J2 && K2>=1+L2 && M2>=1+N2 && free_50>=1+O2 && free_45>=1+P2 && free_48>=1+Q2_1 ], cost: 1 8.02/2.93 8.02/2.93 18: f35 -> f34 : D'=P3, D1'=free_103, E'=Q3_1, E1'=free_100, F'=O4, G'=S3, H'=free_98-W, Q'=free_98-W, J'=free_98, K'=free_97, L'=free_99, M4'=free_104, N4'=free_98, P'=free_102, P1'=O4, T2'=free_101, U2'=free_98, V'=free_96, W'=-1+W, [ W>=1 && S3>=1 && H2>=1 && F2>=1 && G4>=1+H4 && Q2>=1+J2 && Q4>=1+J4 && free_95>=1+K4 && free_96>=1+R3 && free_99>=1+Q2_1 && P3>=1+Q3_1 && free_100>=1+L4 ], cost: 1 8.02/2.93 8.02/2.93 11: f36 -> f36 : D'=V2, E'=W2, G'=free_53, P'=Q_1, Q_1'=free_52, R'=free_54, Z2'=free_53, [ 0>=free_53 && V2>=1+W2 && 0>=X2 && free_54>=1+Y2 ], cost: 1 8.02/2.93 8.02/2.93 12: f36 -> f0 : A1'=B, A2'=C, A3'=free_58, A4'=free_57, A5'=F, A6'=W, B'=H, B1'=Q, B2'=J, B3'=free_60, B4'=free_65, B5'=M, B6'=N, C'=O, C1'=P, C2'=Q_1, C3'=R, C4'=S, C5'=T, C6'=U, D'=V, D1'=free_56, D2'=X, D3'=Y, D4'=Z, D5'=A1, D6'=B1, E'=C1, E1'=free_66, E2'=free_61, E3'=F1, E4'=G1, E5'=free_63, E6'=Q1, F'=J1, F1'=K1, F2'=L1, F3'=M1, F4'=N1, F5'=O1, F6'=P1, G'=Q1_1, G1'=R1, G2'=S1, G3'=T1, G4'=U1, G5'=V1, G6'=W1, H'=X1, H1'=Y1, H2'=Z1, H3'=A2, H4'=B2, H5'=C2, Q'=D2, Q1'=E2, Q2'=F2, Q3'=G2, Q4'=H2, Q5'=Q2, J'=J2, J1'=K2, J2'=L2, J3'=M2, J4'=N2, J5'=O2, K'=P2, K1'=Q2_1, K2'=R2, K3'=S2, K4'=T2, K5'=U2, L'=V2, L1'=W2, L2'=X2, L3'=Y2, L4'=Z2, L5'=A3, M'=B3, M1'=C3, M2'=D3, M3'=E3, M4'=F3, M5'=G3, N'=H3, N1'=Q3, N2'=free_68, N3'=free_55, N4'=free_59, N5'=free_62, O'=free_67, O1'=O3, O2'=P3, O3'=Q3_1, O4'=R3, O5'=S3, P'=T3, P1'=U3, P2'=V3, P3'=W3, P4'=X3, P5'=Y3, Q_1'=Z3, Q1_1'=A4, Q2_1'=B4, Q3_1'=C4, Q4_1'=D4, Q5_1'=E4, R'=F4, R1'=G4, R2'=H4, R3'=Q4, R4'=J4, R5'=K4, S'=L4, S1'=M4, S2'=N4, S3'=O4, S4'=P4, S5'=Q4_1, T'=R4, T1'=S4, T2'=T4, T3'=U4, T4'=V4, T5'=W4, U'=X4, U1'=Y4, U2'=Z4, U3'=A5, U4'=B5, U5'=C5, V'=D5, V1'=E5, V2'=F5, V3'=G5, V4'=H5, V5'=Q5, W'=J5, W1'=K5, W2'=L5, W3'=M5, W4'=N5, W5'=O5, X'=P5, X1'=Q5_1, X2'=R5, X3'=S5, [ 0>=W && 0>=free_67 && 0>=free_56 && X2>=1 && A3>=1+B3 && C3>=1+D3 && E3>=1+F3 && free_64>=1+G3 && free_61>=1+H3 && free_65>=1+Q3 ], cost: 1 8.02/2.93 8.02/2.93 19: f36 -> f34 : D'=P3, D1'=free_106, E'=Q3_1, E1'=free_115, G'=S3, K'=free_108, K3'=free_111, L'=free_107, L3'=free_113, M3'=free_116, N3'=free_105, P'=free_110, V'=free_114, V4'=free_109, W'=-1+W, [ W>=1 && 0>=free_105 && S3>=1 && X2>=1 && A3>=1+B3 && P4>=1+Q4_1 && free_112>=1+R4 && free_114>=1+R3 && free_107>=1+Q3 && free_115>=1+S4 && T4>=1+U4 && P3>=1+Q3_1 ], cost: 1 8.02/2.93 8.02/2.93 13: f10 -> f34 : D'=P3, E'=Q3_1, G'=O3, P'=free_70, V'=free_69, W'=-1+W, [ W>=1 && O3>=1 && P3>=1+Q3_1 && free_69>=1+R3 ], cost: 1 8.02/2.93 8.02/2.93 14: f1 -> f34 : D'=P3, E'=Q3_1, G'=S3, P'=free_72, V'=free_71, W'=-1+W, [ W>=1 && S3>=1 && T3>=1+U3 && V3>=1+W3 && free_73>=1+X3 && free_74>=1+Y3 && P3>=1+Q3_1 && free_71>=1+R3 ], cost: 1 8.02/2.93 8.02/2.93 15: f2 -> f34 : D'=P3, D1'=free_78, E'=Q3_1, E1'=free_79, F4'=free_75, G'=S3, P'=free_77, V'=free_76, W'=-1+W, [ W>=1 && S3>=1 && Z3>=1+A4 && B4>=1+C4 && free_80>=1+D4 && free_76>=1+R3 && P3>=1+Q3_1 && free_79>=1+E4 ], cost: 1 8.02/2.93 8.02/2.93 20: f14 -> f36 : C5'=free_120, D'=Y4, D5'=free_118, E'=Z4, E5'=free_127, F5'=free_123, G'=free_120, G5'=free_125, H5'=free_128, Q5'=free_117, J5'=free_121, K5'=free_124, L5'=free_126, O4'=free_126, P'=free_119, V'=free_122, W'=-1+free_126, [ 0>=free_123 && 0>=free_120 && free_126>=1 && free_127>=1+W4 && free_122>=1+X4 && Y4>=1+Z4 && A5>=1+B5 ], cost: 1 8.02/2.93 8.02/2.93 21: f14 -> f35 : D'=P5, D5'=free_137, E'=Q5_1, E5'=free_130, F5'=free_138, G'=M5, G5'=free_135, H5'=free_136, Q5'=free_139, J5'=free_129, K5'=free_133, L5'=free_134, O4'=free_134, P'=free_132, V'=free_131, W'=-1+free_134, [ free_138>=1 && free_134>=1 && M5>=1 && free_130>=1+N5 && free_131>=1+O5 && P5>=1+Q5_1 && R5>=1+S5 ], cost: 1 8.02/2.93 popout

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all output return to Complexity_ITS 2019-03-21 04.46