/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), ?) proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, INF). (0) CpxIntTrs (1) Loat Proof [FINISHED, 105.3 s] (2) BOUNDS(n^1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: f2(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f2(A, B + 1, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: A >= B f75(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f15(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: C >= D + 1 f75(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f15(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: D >= 1 + C f10(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f15(A, B, C, D, 0, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: A >= C f15(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f24(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: D >= A f15(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f24(A, B, C, D, E, V, W, V + W, 0, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: A >= 1 + D f15(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f15(A, B, C, D + 1, E, V, W, V + W, X, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: 0 >= X + 1 && A >= 1 + D f15(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f15(A, B, C, D + 1, E, V, W, V + W, X, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: X >= 1 && A >= 1 + D f24(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f75(A, B, C, C, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: C >= D && C <= D f24(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f28(A, B, C, D, E + 1, F, G, H, I, E, K, L, M, N, O, P, Q, R, S, T, U)) :|: C >= D + 1 f24(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f28(A, B, C, D, E + 1, F, G, H, I, E, K, L, M, N, O, P, Q, R, S, T, U)) :|: D >= 1 + C f28(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f32(A, B, C, D, E, F, G, H, I, J, V, W, M, N, O, P, Q, R, S, T, U)) :|: 29 >= J f28(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f32(A, B, C, D, E, F, G, H, I, J, V, W, M, N, O, P, Q, R, S, T, U)) :|: J >= 31 f28(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f32(A, B, C, D, E, F, G, H, I, 30, V, W, M, N, O, P, Q, R, S, T, U)) :|: J >= 30 && J <= 30 f32(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f42(A, B, C, D, E, F, G, H, I, J, V - W + X, L, Z, Z, 1, 1, 0, R, S, T, U)) :|: Y >= K * X + X * Z && K * X + X * Z + X >= Y + 1 && K >= 0 f32(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f42(A, B, C, D, E, F, G, H, I, J, V - W + X, L, M, -(Z), 1, 1, 0, Z, S, T, U)) :|: Y + X * Z >= K * X && K * X + X >= X * Z + Y + 1 && 0 >= K + 1 f42(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f68(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: C >= B + 1 f42(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f68(A, B, C, D, E, F, G, H, I, J, K, 0, M, N, O, P, Q, R, P * V, O * W, U)) :|: B >= C f42(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f60(A, B, C, D, E, F, G, H, I, J, V - O * W, X, M, N, Z, Y, H1, R, P * B1, O * W, U)) :|: K * X >= V * X * A1 && V * X * A1 + V >= K * X + 1 && 0 >= A1 + 1 && B >= C && P * B1 >= A1 * C1 && A1 * C1 + C1 >= P * B1 + 1 && C1 >= Y && P * B1 >= A1 * D1 && A1 * D1 + D1 >= P * B1 + 1 && Y >= D1 && K >= A1 * E1 && A1 * E1 + E1 >= K + 1 && E1 >= Z && K >= A1 * F1 && A1 * F1 + F1 >= K + 1 && Z >= F1 && P * X * B1 >= X * A1 * G1 && X * A1 * G1 + G1 >= P * X * B1 + 1 && G1 >= H1 && P * X * B1 >= X * A1 * I1 && X * A1 * I1 + I1 >= P * X * B1 + 1 && H1 >= I1 f42(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f60(A, B, C, D, E, F, G, H, I, J, V - O * W, X, M, N, Z, Y, H1, R, P * B1, O * W, U)) :|: K * X >= V * X * A1 && V * X * A1 + V >= K * X + 1 && A1 >= 1 && B >= C && P * B1 >= A1 * C1 && A1 * C1 + C1 >= P * B1 + 1 && C1 >= Y && P * B1 >= A1 * D1 && A1 * D1 + D1 >= P * B1 + 1 && Y >= D1 && K >= A1 * E1 && A1 * E1 + E1 >= K + 1 && E1 >= Z && K >= A1 * F1 && A1 * F1 + F1 >= K + 1 && Z >= F1 && P * X * B1 >= X * A1 * G1 && X * A1 * G1 + G1 >= P * X * B1 + 1 && G1 >= H1 && P * X * B1 >= X * A1 * I1 && X * A1 * I1 + I1 >= P * X * B1 + 1 && H1 >= I1 f60(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f60(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, V, T, U + 1)) :|: A >= U f68(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f75(A, B, C, D, E, F, G, H, I, J, K, 0, M, N, O, P, Q, R, S, T, U)) :|: B >= C && L >= 0 && L <= 0 f68(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f75(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: 0 >= L + 1 f68(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f75(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: L >= 1 f68(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f75(A, B, C, D, E, F, G, H, I, J, K, 0, M, N, O, P, Q, R, S, T, U)) :|: C >= B + 1 && L >= 0 && L <= 0 f75(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f10(A, B, C + 1, C, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: C >= D && C <= D f60(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f42(A, B - 1, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: U >= 1 + A f10(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f1(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: C >= 1 + A f2(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f10(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: B >= 1 + A start(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f2(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: TRUE The start-symbols are:[start_21] ---------------------------------------- (1) Loat Proof (FINISHED) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: start 0: f2 -> f2 : B'=1+B, [ A>=B ], cost: 1 28: f2 -> f10 : [ B>=1+A ], cost: 1 1: f75 -> f15 : [ C>=1+D ], cost: 1 2: f75 -> f15 : [ D>=1+C ], cost: 1 25: f75 -> f10 : C'=1+C, D'=C, [ C==D ], cost: 1 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 27: f10 -> f1 : A1'=B, B'=C, B1'=D, C'=E, C1'=F, D'=G, D1'=H, E'=Q, E1'=J, F'=K, F1'=L, G'=M, G1'=N, H'=O, H1'=P, Q'=Q_1, Q1'=R, J'=S, K'=T, L'=U, [ C>=1+A ], cost: 1 4: f15 -> f24 : [ D>=A ], cost: 1 5: f15 -> f24 : F'=free_1, G'=free, H'=free+free_1, Q'=0, [ A>=1+D ], cost: 1 6: f15 -> f15 : D'=1+D, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ 0>=1+free_3 && A>=1+D ], cost: 1 7: f15 -> f15 : D'=1+D, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ free_6>=1 && A>=1+D ], cost: 1 8: f24 -> f75 : D'=C, [ C==D ], cost: 1 9: f24 -> f28 : E'=1+E, J'=E, [ C>=1+D ], cost: 1 10: f24 -> f28 : E'=1+E, J'=E, [ D>=1+C ], cost: 1 11: f28 -> f32 : K'=free_9, L'=free_8, [ 29>=J ], cost: 1 12: f28 -> f32 : K'=free_11, L'=free_10, [ J>=31 ], cost: 1 13: f28 -> f32 : J'=30, K'=free_13, L'=free_12, [ J==30 ], cost: 1 14: f32 -> f42 : K'=free_16+free_18-free_15, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ free_17>=free_16*free_14+free_16*K && free_16*free_14+free_16+free_16*K>=1+free_17 && K>=0 ], cost: 1 15: f32 -> f42 : K'=free_23-free_20+free_21, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ free_22+free_19*free_21>=K*free_21 && K*free_21+free_21>=1+free_22+free_19*free_21 && 0>=1+K ], cost: 1 16: f42 -> f68 : [ C>=1+B ], cost: 1 17: f42 -> f68 : L'=0, S'=free_25*P, T'=O*free_24, [ B>=C ], cost: 1 18: f42 -> f60 : K'=free_37-O*free_28, L'=free_31, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32*P, T'=O*free_28, [ K*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+K*free_31 && 0>=1+free_38 && B>=C && free_32*P>=free_38*free_27 && free_38*free_27+free_27>=1+free_32*P && free_27>=free_35 && free_32*P>=free_38*free_34 && free_38*free_34+free_34>=1+free_32*P && free_35>=free_34 && K>=free_38*free_30 && free_38*free_30+free_30>=1+K && free_30>=free_26 && K>=free_38*free_39 && free_39+free_38*free_39>=1+K && free_26>=free_39 && free_32*free_31*P>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31*P && free_33>=free_29 && free_32*free_31*P>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31*P && free_29>=free_36 ], cost: 1 19: f42 -> f60 : K'=free_51-free_42*O, L'=free_45, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46*P, T'=free_42*O, [ free_45*K>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*K && free_52>=1 && B>=C && free_46*P>=free_52*free_41 && free_52*free_41+free_41>=1+free_46*P && free_41>=free_49 && free_46*P>=free_48*free_52 && free_48*free_52+free_48>=1+free_46*P && free_49>=free_48 && K>=free_52*free_44 && free_52*free_44+free_44>=1+K && free_44>=free_40 && K>=free_52*free_53 && free_53+free_52*free_53>=1+K && free_40>=free_53 && free_45*free_46*P>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46*P && free_47>=free_43 && free_45*free_46*P>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46*P && free_43>=free_50 ], cost: 1 20: f60 -> f60 : S'=free_54, U'=1+U, [ A>=U ], cost: 1 26: f60 -> f42 : B'=-1+B, [ U>=1+A ], cost: 1 21: f68 -> f75 : L'=0, [ B>=C && L==0 ], cost: 1 22: f68 -> f75 : [ 0>=1+L ], cost: 1 23: f68 -> f75 : [ L>=1 ], cost: 1 24: f68 -> f75 : L'=0, [ C>=1+B && L==0 ], cost: 1 29: start -> f2 : [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 29: start -> f2 : [], cost: 1 Removed unreachable and leaf rules: Start location: start 0: f2 -> f2 : B'=1+B, [ A>=B ], cost: 1 28: f2 -> f10 : [ B>=1+A ], cost: 1 1: f75 -> f15 : [ C>=1+D ], cost: 1 2: f75 -> f15 : [ D>=1+C ], cost: 1 25: f75 -> f10 : C'=1+C, D'=C, [ C==D ], cost: 1 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 4: f15 -> f24 : [ D>=A ], cost: 1 5: f15 -> f24 : F'=free_1, G'=free, H'=free+free_1, Q'=0, [ A>=1+D ], cost: 1 6: f15 -> f15 : D'=1+D, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ 0>=1+free_3 && A>=1+D ], cost: 1 7: f15 -> f15 : D'=1+D, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ free_6>=1 && A>=1+D ], cost: 1 8: f24 -> f75 : D'=C, [ C==D ], cost: 1 9: f24 -> f28 : E'=1+E, J'=E, [ C>=1+D ], cost: 1 10: f24 -> f28 : E'=1+E, J'=E, [ D>=1+C ], cost: 1 11: f28 -> f32 : K'=free_9, L'=free_8, [ 29>=J ], cost: 1 12: f28 -> f32 : K'=free_11, L'=free_10, [ J>=31 ], cost: 1 13: f28 -> f32 : J'=30, K'=free_13, L'=free_12, [ J==30 ], cost: 1 14: f32 -> f42 : K'=free_16+free_18-free_15, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ free_17>=free_16*free_14+free_16*K && free_16*free_14+free_16+free_16*K>=1+free_17 && K>=0 ], cost: 1 15: f32 -> f42 : K'=free_23-free_20+free_21, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ free_22+free_19*free_21>=K*free_21 && K*free_21+free_21>=1+free_22+free_19*free_21 && 0>=1+K ], cost: 1 16: f42 -> f68 : [ C>=1+B ], cost: 1 17: f42 -> f68 : L'=0, S'=free_25*P, T'=O*free_24, [ B>=C ], cost: 1 18: f42 -> f60 : K'=free_37-O*free_28, L'=free_31, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32*P, T'=O*free_28, [ K*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+K*free_31 && 0>=1+free_38 && B>=C && free_32*P>=free_38*free_27 && free_38*free_27+free_27>=1+free_32*P && free_27>=free_35 && free_32*P>=free_38*free_34 && free_38*free_34+free_34>=1+free_32*P && free_35>=free_34 && K>=free_38*free_30 && free_38*free_30+free_30>=1+K && free_30>=free_26 && K>=free_38*free_39 && free_39+free_38*free_39>=1+K && free_26>=free_39 && free_32*free_31*P>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31*P && free_33>=free_29 && free_32*free_31*P>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31*P && free_29>=free_36 ], cost: 1 19: f42 -> f60 : K'=free_51-free_42*O, L'=free_45, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46*P, T'=free_42*O, [ free_45*K>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*K && free_52>=1 && B>=C && free_46*P>=free_52*free_41 && free_52*free_41+free_41>=1+free_46*P && free_41>=free_49 && free_46*P>=free_48*free_52 && free_48*free_52+free_48>=1+free_46*P && free_49>=free_48 && K>=free_52*free_44 && free_52*free_44+free_44>=1+K && free_44>=free_40 && K>=free_52*free_53 && free_53+free_52*free_53>=1+K && free_40>=free_53 && free_45*free_46*P>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46*P && free_47>=free_43 && free_45*free_46*P>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46*P && free_43>=free_50 ], cost: 1 20: f60 -> f60 : S'=free_54, U'=1+U, [ A>=U ], cost: 1 26: f60 -> f42 : B'=-1+B, [ U>=1+A ], cost: 1 21: f68 -> f75 : L'=0, [ B>=C && L==0 ], cost: 1 22: f68 -> f75 : [ 0>=1+L ], cost: 1 23: f68 -> f75 : [ L>=1 ], cost: 1 24: f68 -> f75 : L'=0, [ C>=1+B && L==0 ], cost: 1 29: start -> f2 : [], cost: 1 Simplified all rules, resulting in: Start location: start 0: f2 -> f2 : B'=1+B, [ A>=B ], cost: 1 28: f2 -> f10 : [ B>=1+A ], cost: 1 1: f75 -> f15 : [ C>=1+D ], cost: 1 2: f75 -> f15 : [ D>=1+C ], cost: 1 25: f75 -> f10 : C'=1+C, D'=C, [ C==D ], cost: 1 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 4: f15 -> f24 : [ D>=A ], cost: 1 5: f15 -> f24 : F'=free_1, G'=free, H'=free+free_1, Q'=0, [ A>=1+D ], cost: 1 6: f15 -> f15 : D'=1+D, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ 0>=1+free_3 && A>=1+D ], cost: 1 7: f15 -> f15 : D'=1+D, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ free_6>=1 && A>=1+D ], cost: 1 8: f24 -> f75 : D'=C, [ C==D ], cost: 1 9: f24 -> f28 : E'=1+E, J'=E, [ C>=1+D ], cost: 1 10: f24 -> f28 : E'=1+E, J'=E, [ D>=1+C ], cost: 1 11: f28 -> f32 : K'=free_9, L'=free_8, [ 29>=J ], cost: 1 12: f28 -> f32 : K'=free_11, L'=free_10, [ J>=31 ], cost: 1 13: f28 -> f32 : J'=30, K'=free_13, L'=free_12, [ J==30 ], cost: 1 14: f32 -> f42 : K'=free_16+free_18-free_15, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ K>=0 && free_16*free_14+free_16*K<=-1+free_16*free_14+free_16+free_16*K ], cost: 1 15: f32 -> f42 : K'=free_23-free_20+free_21, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ 0>=1+K && -free_19*free_21+K*free_21<=-1-free_19*free_21+K*free_21+free_21 ], cost: 1 16: f42 -> f68 : [ C>=1+B ], cost: 1 17: f42 -> f68 : L'=0, S'=free_25*P, T'=O*free_24, [ B>=C ], cost: 1 18: f42 -> f60 : K'=free_37-O*free_28, L'=free_31, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32*P, T'=O*free_28, [ K*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+K*free_31 && 0>=1+free_38 && B>=C && free_32*P>=free_38*free_27 && free_38*free_27+free_27>=1+free_32*P && free_27>=free_35 && free_32*P>=free_38*free_34 && free_38*free_34+free_34>=1+free_32*P && free_35>=free_34 && K>=free_38*free_30 && free_38*free_30+free_30>=1+K && free_30>=free_26 && K>=free_38*free_39 && free_39+free_38*free_39>=1+K && free_26>=free_39 && free_32*free_31*P>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31*P && free_33>=free_29 && free_32*free_31*P>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31*P && free_29>=free_36 ], cost: 1 19: f42 -> f60 : K'=free_51-free_42*O, L'=free_45, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46*P, T'=free_42*O, [ free_45*K>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*K && free_52>=1 && B>=C && free_46*P>=free_52*free_41 && free_52*free_41+free_41>=1+free_46*P && free_41>=free_49 && free_46*P>=free_48*free_52 && free_48*free_52+free_48>=1+free_46*P && free_49>=free_48 && K>=free_52*free_44 && free_52*free_44+free_44>=1+K && free_44>=free_40 && K>=free_52*free_53 && free_53+free_52*free_53>=1+K && free_40>=free_53 && free_45*free_46*P>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46*P && free_47>=free_43 && free_45*free_46*P>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46*P && free_43>=free_50 ], cost: 1 20: f60 -> f60 : S'=free_54, U'=1+U, [ A>=U ], cost: 1 26: f60 -> f42 : B'=-1+B, [ U>=1+A ], cost: 1 21: f68 -> f75 : L'=0, [ B>=C && L==0 ], cost: 1 22: f68 -> f75 : [ 0>=1+L ], cost: 1 23: f68 -> f75 : [ L>=1 ], cost: 1 24: f68 -> f75 : L'=0, [ C>=1+B && L==0 ], cost: 1 29: start -> f2 : [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 0. Accelerating the following rules: 0: f2 -> f2 : B'=1+B, [ A>=B ], cost: 1 Accelerated rule 0 with metering function 1-B+A, yielding the new rule 30. Removing the simple loops: 0. Accelerating simple loops of location 3. Accelerating the following rules: 6: f15 -> f15 : D'=1+D, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ 0>=1+free_3 && A>=1+D ], cost: 1 7: f15 -> f15 : D'=1+D, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ free_6>=1 && A>=1+D ], cost: 1 Accelerated rule 6 with metering function -D+A, yielding the new rule 31. Accelerated rule 7 with metering function -D+A, yielding the new rule 32. Removing the simple loops: 6 7. Accelerating simple loops of location 8. Accelerating the following rules: 20: f60 -> f60 : S'=free_54, U'=1+U, [ A>=U ], cost: 1 Accelerated rule 20 with metering function 1-U+A, yielding the new rule 33. Removing the simple loops: 20. Accelerated all simple loops using metering functions (where possible): Start location: start 28: f2 -> f10 : [ B>=1+A ], cost: 1 30: f2 -> f2 : B'=1+A, [ A>=B ], cost: 1-B+A 1: f75 -> f15 : [ C>=1+D ], cost: 1 2: f75 -> f15 : [ D>=1+C ], cost: 1 25: f75 -> f10 : C'=1+C, D'=C, [ C==D ], cost: 1 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 4: f15 -> f24 : [ D>=A ], cost: 1 5: f15 -> f24 : F'=free_1, G'=free, H'=free+free_1, Q'=0, [ A>=1+D ], cost: 1 31: f15 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ 0>=1+free_3 && A>=1+D ], cost: -D+A 32: f15 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ free_6>=1 && A>=1+D ], cost: -D+A 8: f24 -> f75 : D'=C, [ C==D ], cost: 1 9: f24 -> f28 : E'=1+E, J'=E, [ C>=1+D ], cost: 1 10: f24 -> f28 : E'=1+E, J'=E, [ D>=1+C ], cost: 1 11: f28 -> f32 : K'=free_9, L'=free_8, [ 29>=J ], cost: 1 12: f28 -> f32 : K'=free_11, L'=free_10, [ J>=31 ], cost: 1 13: f28 -> f32 : J'=30, K'=free_13, L'=free_12, [ J==30 ], cost: 1 14: f32 -> f42 : K'=free_16+free_18-free_15, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ K>=0 && free_16*free_14+free_16*K<=-1+free_16*free_14+free_16+free_16*K ], cost: 1 15: f32 -> f42 : K'=free_23-free_20+free_21, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ 0>=1+K && -free_19*free_21+K*free_21<=-1-free_19*free_21+K*free_21+free_21 ], cost: 1 16: f42 -> f68 : [ C>=1+B ], cost: 1 17: f42 -> f68 : L'=0, S'=free_25*P, T'=O*free_24, [ B>=C ], cost: 1 18: f42 -> f60 : K'=free_37-O*free_28, L'=free_31, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32*P, T'=O*free_28, [ K*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+K*free_31 && 0>=1+free_38 && B>=C && free_32*P>=free_38*free_27 && free_38*free_27+free_27>=1+free_32*P && free_27>=free_35 && free_32*P>=free_38*free_34 && free_38*free_34+free_34>=1+free_32*P && free_35>=free_34 && K>=free_38*free_30 && free_38*free_30+free_30>=1+K && free_30>=free_26 && K>=free_38*free_39 && free_39+free_38*free_39>=1+K && free_26>=free_39 && free_32*free_31*P>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31*P && free_33>=free_29 && free_32*free_31*P>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31*P && free_29>=free_36 ], cost: 1 19: f42 -> f60 : K'=free_51-free_42*O, L'=free_45, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46*P, T'=free_42*O, [ free_45*K>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*K && free_52>=1 && B>=C && free_46*P>=free_52*free_41 && free_52*free_41+free_41>=1+free_46*P && free_41>=free_49 && free_46*P>=free_48*free_52 && free_48*free_52+free_48>=1+free_46*P && free_49>=free_48 && K>=free_52*free_44 && free_52*free_44+free_44>=1+K && free_44>=free_40 && K>=free_52*free_53 && free_53+free_52*free_53>=1+K && free_40>=free_53 && free_45*free_46*P>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46*P && free_47>=free_43 && free_45*free_46*P>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46*P && free_43>=free_50 ], cost: 1 26: f60 -> f42 : B'=-1+B, [ U>=1+A ], cost: 1 33: f60 -> f60 : S'=free_54, U'=1+A, [ A>=U ], cost: 1-U+A 21: f68 -> f75 : L'=0, [ B>=C && L==0 ], cost: 1 22: f68 -> f75 : [ 0>=1+L ], cost: 1 23: f68 -> f75 : [ L>=1 ], cost: 1 24: f68 -> f75 : L'=0, [ C>=1+B && L==0 ], cost: 1 29: start -> f2 : [], cost: 1 Chained accelerated rules (with incoming rules): Start location: start 28: f2 -> f10 : [ B>=1+A ], cost: 1 1: f75 -> f15 : [ C>=1+D ], cost: 1 2: f75 -> f15 : [ D>=1+C ], cost: 1 25: f75 -> f10 : C'=1+C, D'=C, [ C==D ], cost: 1 35: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ C>=1+D && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ D>=1+C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ C>=1+D && free_6>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ D>=1+C && free_6>=1 && A>=1+D ], cost: 1-D+A 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 37: f10 -> f15 : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 4: f15 -> f24 : [ D>=A ], cost: 1 5: f15 -> f24 : F'=free_1, G'=free, H'=free+free_1, Q'=0, [ A>=1+D ], cost: 1 8: f24 -> f75 : D'=C, [ C==D ], cost: 1 9: f24 -> f28 : E'=1+E, J'=E, [ C>=1+D ], cost: 1 10: f24 -> f28 : E'=1+E, J'=E, [ D>=1+C ], cost: 1 11: f28 -> f32 : K'=free_9, L'=free_8, [ 29>=J ], cost: 1 12: f28 -> f32 : K'=free_11, L'=free_10, [ J>=31 ], cost: 1 13: f28 -> f32 : J'=30, K'=free_13, L'=free_12, [ J==30 ], cost: 1 14: f32 -> f42 : K'=free_16+free_18-free_15, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ K>=0 && free_16*free_14+free_16*K<=-1+free_16*free_14+free_16+free_16*K ], cost: 1 15: f32 -> f42 : K'=free_23-free_20+free_21, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ 0>=1+K && -free_19*free_21+K*free_21<=-1-free_19*free_21+K*free_21+free_21 ], cost: 1 16: f42 -> f68 : [ C>=1+B ], cost: 1 17: f42 -> f68 : L'=0, S'=free_25*P, T'=O*free_24, [ B>=C ], cost: 1 18: f42 -> f60 : K'=free_37-O*free_28, L'=free_31, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32*P, T'=O*free_28, [ K*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+K*free_31 && 0>=1+free_38 && B>=C && free_32*P>=free_38*free_27 && free_38*free_27+free_27>=1+free_32*P && free_27>=free_35 && free_32*P>=free_38*free_34 && free_38*free_34+free_34>=1+free_32*P && free_35>=free_34 && K>=free_38*free_30 && free_38*free_30+free_30>=1+K && free_30>=free_26 && K>=free_38*free_39 && free_39+free_38*free_39>=1+K && free_26>=free_39 && free_32*free_31*P>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31*P && free_33>=free_29 && free_32*free_31*P>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31*P && free_29>=free_36 ], cost: 1 19: f42 -> f60 : K'=free_51-free_42*O, L'=free_45, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46*P, T'=free_42*O, [ free_45*K>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*K && free_52>=1 && B>=C && free_46*P>=free_52*free_41 && free_52*free_41+free_41>=1+free_46*P && free_41>=free_49 && free_46*P>=free_48*free_52 && free_48*free_52+free_48>=1+free_46*P && free_49>=free_48 && K>=free_52*free_44 && free_52*free_44+free_44>=1+K && free_44>=free_40 && K>=free_52*free_53 && free_53+free_52*free_53>=1+K && free_40>=free_53 && free_45*free_46*P>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46*P && free_47>=free_43 && free_45*free_46*P>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46*P && free_43>=free_50 ], cost: 1 41: f42 -> f60 : K'=free_37-O*free_28, L'=free_31, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=O*free_28, U'=1+A, [ K*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+K*free_31 && 0>=1+free_38 && B>=C && free_32*P>=free_38*free_27 && free_38*free_27+free_27>=1+free_32*P && free_27>=free_35 && free_32*P>=free_38*free_34 && free_38*free_34+free_34>=1+free_32*P && free_35>=free_34 && K>=free_38*free_30 && free_38*free_30+free_30>=1+K && free_30>=free_26 && K>=free_38*free_39 && free_39+free_38*free_39>=1+K && free_26>=free_39 && free_32*free_31*P>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31*P && free_33>=free_29 && free_32*free_31*P>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31*P && free_29>=free_36 && A>=U ], cost: 2-U+A 42: f42 -> f60 : K'=free_51-free_42*O, L'=free_45, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42*O, U'=1+A, [ free_45*K>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*K && free_52>=1 && B>=C && free_46*P>=free_52*free_41 && free_52*free_41+free_41>=1+free_46*P && free_41>=free_49 && free_46*P>=free_48*free_52 && free_48*free_52+free_48>=1+free_46*P && free_49>=free_48 && K>=free_52*free_44 && free_52*free_44+free_44>=1+K && free_44>=free_40 && K>=free_52*free_53 && free_53+free_52*free_53>=1+K && free_40>=free_53 && free_45*free_46*P>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46*P && free_47>=free_43 && free_45*free_46*P>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46*P && free_43>=free_50 && A>=U ], cost: 2-U+A 26: f60 -> f42 : B'=-1+B, [ U>=1+A ], cost: 1 21: f68 -> f75 : L'=0, [ B>=C && L==0 ], cost: 1 22: f68 -> f75 : [ 0>=1+L ], cost: 1 23: f68 -> f75 : [ L>=1 ], cost: 1 24: f68 -> f75 : L'=0, [ C>=1+B && L==0 ], cost: 1 29: start -> f2 : [], cost: 1 34: start -> f2 : B'=1+A, [ A>=B ], cost: 2-B+A Eliminated locations (on tree-shaped paths): Start location: start 1: f75 -> f15 : [ C>=1+D ], cost: 1 2: f75 -> f15 : [ D>=1+C ], cost: 1 25: f75 -> f10 : C'=1+C, D'=C, [ C==D ], cost: 1 35: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ C>=1+D && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ D>=1+C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ C>=1+D && free_6>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ D>=1+C && free_6>=1 && A>=1+D ], cost: 1-D+A 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 37: f10 -> f15 : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 45: f15 -> f75 : D'=C, [ D>=A && C==D ], cost: 2 46: f15 -> f28 : E'=1+E, J'=E, [ D>=A && C>=1+D ], cost: 2 47: f15 -> f28 : E'=1+E, J'=E, [ D>=A && D>=1+C ], cost: 2 48: f15 -> f75 : D'=C, F'=free_1, G'=free, H'=free+free_1, Q'=0, [ A>=1+D && C==D ], cost: 2 49: f15 -> f28 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, [ A>=1+D && C>=1+D ], cost: 2 50: f15 -> f28 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, [ A>=1+D && D>=1+C ], cost: 2 51: f28 -> f42 : K'=free_16+free_18-free_15, L'=free_8, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ 29>=J && free_9>=0 && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 ], cost: 2 52: f28 -> f42 : K'=free_23-free_20+free_21, L'=free_8, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ 29>=J && 0>=1+free_9 && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 ], cost: 2 53: f28 -> f42 : K'=free_16+free_18-free_15, L'=free_10, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ J>=31 && free_11>=0 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 ], cost: 2 54: f28 -> f42 : K'=free_23-free_20+free_21, L'=free_10, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ J>=31 && 0>=1+free_11 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 ], cost: 2 55: f28 -> f42 : J'=30, K'=free_16+free_18-free_15, L'=free_12, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ J==30 && free_13>=0 && free_16*free_14+free_16*free_13<=-1+free_16*free_14+free_16+free_16*free_13 ], cost: 2 56: f28 -> f42 : J'=30, K'=free_23-free_20+free_21, L'=free_12, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ J==30 && 0>=1+free_13 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 ], cost: 2 57: f42 -> f42 : B'=-1+B, K'=free_37-O*free_28, L'=free_31, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32*P, T'=O*free_28, [ K*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+K*free_31 && 0>=1+free_38 && B>=C && free_32*P>=free_38*free_27 && free_38*free_27+free_27>=1+free_32*P && free_27>=free_35 && free_32*P>=free_38*free_34 && free_38*free_34+free_34>=1+free_32*P && free_35>=free_34 && K>=free_38*free_30 && free_38*free_30+free_30>=1+K && free_30>=free_26 && K>=free_38*free_39 && free_39+free_38*free_39>=1+K && free_26>=free_39 && free_32*free_31*P>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31*P && free_33>=free_29 && free_32*free_31*P>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31*P && free_29>=free_36 && U>=1+A ], cost: 2 58: f42 -> f42 : B'=-1+B, K'=free_51-free_42*O, L'=free_45, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46*P, T'=free_42*O, [ free_45*K>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*K && free_52>=1 && B>=C && free_46*P>=free_52*free_41 && free_52*free_41+free_41>=1+free_46*P && free_41>=free_49 && free_46*P>=free_48*free_52 && free_48*free_52+free_48>=1+free_46*P && free_49>=free_48 && K>=free_52*free_44 && free_52*free_44+free_44>=1+K && free_44>=free_40 && K>=free_52*free_53 && free_53+free_52*free_53>=1+K && free_40>=free_53 && free_45*free_46*P>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46*P && free_47>=free_43 && free_45*free_46*P>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46*P && free_43>=free_50 && U>=1+A ], cost: 2 59: f42 -> f42 : B'=-1+B, K'=free_37-O*free_28, L'=free_31, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=O*free_28, U'=1+A, [ K*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+K*free_31 && 0>=1+free_38 && B>=C && free_32*P>=free_38*free_27 && free_38*free_27+free_27>=1+free_32*P && free_27>=free_35 && free_32*P>=free_38*free_34 && free_38*free_34+free_34>=1+free_32*P && free_35>=free_34 && K>=free_38*free_30 && free_38*free_30+free_30>=1+K && free_30>=free_26 && K>=free_38*free_39 && free_39+free_38*free_39>=1+K && free_26>=free_39 && free_32*free_31*P>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31*P && free_33>=free_29 && free_32*free_31*P>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31*P && free_29>=free_36 && A>=U ], cost: 3-U+A 60: f42 -> f42 : B'=-1+B, K'=free_51-free_42*O, L'=free_45, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42*O, U'=1+A, [ free_45*K>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*K && free_52>=1 && B>=C && free_46*P>=free_52*free_41 && free_52*free_41+free_41>=1+free_46*P && free_41>=free_49 && free_46*P>=free_48*free_52 && free_48*free_52+free_48>=1+free_46*P && free_49>=free_48 && K>=free_52*free_44 && free_52*free_44+free_44>=1+K && free_44>=free_40 && K>=free_52*free_53 && free_53+free_52*free_53>=1+K && free_40>=free_53 && free_45*free_46*P>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46*P && free_47>=free_43 && free_45*free_46*P>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46*P && free_43>=free_50 && A>=U ], cost: 3-U+A 61: f42 -> f75 : [ C>=1+B && 0>=1+L ], cost: 2 62: f42 -> f75 : [ C>=1+B && L>=1 ], cost: 2 63: f42 -> f75 : L'=0, [ C>=1+B && L==0 ], cost: 2 64: f42 -> f75 : L'=0, S'=free_25*P, T'=O*free_24, [ B>=C ], cost: 2 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A Applied pruning (of leafs and parallel rules): Start location: start 1: f75 -> f15 : [ C>=1+D ], cost: 1 25: f75 -> f10 : C'=1+C, D'=C, [ C==D ], cost: 1 35: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ C>=1+D && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ D>=1+C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ C>=1+D && free_6>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ D>=1+C && free_6>=1 && A>=1+D ], cost: 1-D+A 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 37: f10 -> f15 : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 45: f15 -> f75 : D'=C, [ D>=A && C==D ], cost: 2 46: f15 -> f28 : E'=1+E, J'=E, [ D>=A && C>=1+D ], cost: 2 47: f15 -> f28 : E'=1+E, J'=E, [ D>=A && D>=1+C ], cost: 2 48: f15 -> f75 : D'=C, F'=free_1, G'=free, H'=free+free_1, Q'=0, [ A>=1+D && C==D ], cost: 2 49: f15 -> f28 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, [ A>=1+D && C>=1+D ], cost: 2 50: f15 -> f28 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, [ A>=1+D && D>=1+C ], cost: 2 51: f28 -> f42 : K'=free_16+free_18-free_15, L'=free_8, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ 29>=J && free_9>=0 && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 ], cost: 2 52: f28 -> f42 : K'=free_23-free_20+free_21, L'=free_8, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ 29>=J && 0>=1+free_9 && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 ], cost: 2 53: f28 -> f42 : K'=free_16+free_18-free_15, L'=free_10, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ J>=31 && free_11>=0 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 ], cost: 2 54: f28 -> f42 : K'=free_23-free_20+free_21, L'=free_10, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ J>=31 && 0>=1+free_11 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 ], cost: 2 56: f28 -> f42 : J'=30, K'=free_23-free_20+free_21, L'=free_12, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ J==30 && 0>=1+free_13 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 ], cost: 2 57: f42 -> f42 : B'=-1+B, K'=free_37-O*free_28, L'=free_31, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32*P, T'=O*free_28, [ K*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+K*free_31 && 0>=1+free_38 && B>=C && free_32*P>=free_38*free_27 && free_38*free_27+free_27>=1+free_32*P && free_27>=free_35 && free_32*P>=free_38*free_34 && free_38*free_34+free_34>=1+free_32*P && free_35>=free_34 && K>=free_38*free_30 && free_38*free_30+free_30>=1+K && free_30>=free_26 && K>=free_38*free_39 && free_39+free_38*free_39>=1+K && free_26>=free_39 && free_32*free_31*P>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31*P && free_33>=free_29 && free_32*free_31*P>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31*P && free_29>=free_36 && U>=1+A ], cost: 2 58: f42 -> f42 : B'=-1+B, K'=free_51-free_42*O, L'=free_45, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46*P, T'=free_42*O, [ free_45*K>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*K && free_52>=1 && B>=C && free_46*P>=free_52*free_41 && free_52*free_41+free_41>=1+free_46*P && free_41>=free_49 && free_46*P>=free_48*free_52 && free_48*free_52+free_48>=1+free_46*P && free_49>=free_48 && K>=free_52*free_44 && free_52*free_44+free_44>=1+K && free_44>=free_40 && K>=free_52*free_53 && free_53+free_52*free_53>=1+K && free_40>=free_53 && free_45*free_46*P>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46*P && free_47>=free_43 && free_45*free_46*P>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46*P && free_43>=free_50 && U>=1+A ], cost: 2 59: f42 -> f42 : B'=-1+B, K'=free_37-O*free_28, L'=free_31, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=O*free_28, U'=1+A, [ K*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+K*free_31 && 0>=1+free_38 && B>=C && free_32*P>=free_38*free_27 && free_38*free_27+free_27>=1+free_32*P && free_27>=free_35 && free_32*P>=free_38*free_34 && free_38*free_34+free_34>=1+free_32*P && free_35>=free_34 && K>=free_38*free_30 && free_38*free_30+free_30>=1+K && free_30>=free_26 && K>=free_38*free_39 && free_39+free_38*free_39>=1+K && free_26>=free_39 && free_32*free_31*P>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31*P && free_33>=free_29 && free_32*free_31*P>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31*P && free_29>=free_36 && A>=U ], cost: 3-U+A 60: f42 -> f42 : B'=-1+B, K'=free_51-free_42*O, L'=free_45, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42*O, U'=1+A, [ free_45*K>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*K && free_52>=1 && B>=C && free_46*P>=free_52*free_41 && free_52*free_41+free_41>=1+free_46*P && free_41>=free_49 && free_46*P>=free_48*free_52 && free_48*free_52+free_48>=1+free_46*P && free_49>=free_48 && K>=free_52*free_44 && free_52*free_44+free_44>=1+K && free_44>=free_40 && K>=free_52*free_53 && free_53+free_52*free_53>=1+K && free_40>=free_53 && free_45*free_46*P>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46*P && free_47>=free_43 && free_45*free_46*P>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46*P && free_43>=free_50 && A>=U ], cost: 3-U+A 61: f42 -> f75 : [ C>=1+B && 0>=1+L ], cost: 2 62: f42 -> f75 : [ C>=1+B && L>=1 ], cost: 2 63: f42 -> f75 : L'=0, [ C>=1+B && L==0 ], cost: 2 64: f42 -> f75 : L'=0, S'=free_25*P, T'=O*free_24, [ B>=C ], cost: 2 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A Accelerating simple loops of location 7. Accelerating the following rules: 57: f42 -> f42 : B'=-1+B, K'=free_37-O*free_28, L'=free_31, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32*P, T'=O*free_28, [ K*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+K*free_31 && 0>=1+free_38 && B>=C && free_32*P>=free_38*free_27 && free_38*free_27+free_27>=1+free_32*P && free_27>=free_35 && free_32*P>=free_38*free_34 && free_38*free_34+free_34>=1+free_32*P && free_35>=free_34 && K>=free_38*free_30 && free_38*free_30+free_30>=1+K && free_30>=free_26 && K>=free_38*free_39 && free_39+free_38*free_39>=1+K && free_26>=free_39 && free_32*free_31*P>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31*P && free_33>=free_29 && free_32*free_31*P>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31*P && free_29>=free_36 && U>=1+A ], cost: 2 58: f42 -> f42 : B'=-1+B, K'=free_51-free_42*O, L'=free_45, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46*P, T'=free_42*O, [ free_45*K>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*K && free_52>=1 && B>=C && free_46*P>=free_52*free_41 && free_52*free_41+free_41>=1+free_46*P && free_41>=free_49 && free_46*P>=free_48*free_52 && free_48*free_52+free_48>=1+free_46*P && free_49>=free_48 && K>=free_52*free_44 && free_52*free_44+free_44>=1+K && free_44>=free_40 && K>=free_52*free_53 && free_53+free_52*free_53>=1+K && free_40>=free_53 && free_45*free_46*P>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46*P && free_47>=free_43 && free_45*free_46*P>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46*P && free_43>=free_50 && U>=1+A ], cost: 2 59: f42 -> f42 : B'=-1+B, K'=free_37-O*free_28, L'=free_31, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=O*free_28, U'=1+A, [ K*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+K*free_31 && 0>=1+free_38 && B>=C && free_32*P>=free_38*free_27 && free_38*free_27+free_27>=1+free_32*P && free_27>=free_35 && free_32*P>=free_38*free_34 && free_38*free_34+free_34>=1+free_32*P && free_35>=free_34 && K>=free_38*free_30 && free_38*free_30+free_30>=1+K && free_30>=free_26 && K>=free_38*free_39 && free_39+free_38*free_39>=1+K && free_26>=free_39 && free_32*free_31*P>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31*P && free_33>=free_29 && free_32*free_31*P>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31*P && free_29>=free_36 && A>=U ], cost: 3-U+A 60: f42 -> f42 : B'=-1+B, K'=free_51-free_42*O, L'=free_45, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42*O, U'=1+A, [ free_45*K>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*K && free_52>=1 && B>=C && free_46*P>=free_52*free_41 && free_52*free_41+free_41>=1+free_46*P && free_41>=free_49 && free_46*P>=free_48*free_52 && free_48*free_52+free_48>=1+free_46*P && free_49>=free_48 && K>=free_52*free_44 && free_52*free_44+free_44>=1+K && free_44>=free_40 && K>=free_52*free_53 && free_53+free_52*free_53>=1+K && free_40>=free_53 && free_45*free_46*P>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46*P && free_47>=free_43 && free_45*free_46*P>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46*P && free_43>=free_50 && A>=U ], cost: 3-U+A Found no metering function for rule 57 (rule is too complicated). Found no metering function for rule 58 (rule is too complicated). Found no metering function for rule 59 (rule is too complicated). Found no metering function for rule 60 (rule is too complicated). Removing the simple loops:. Accelerated all simple loops using metering functions (where possible): Start location: start 1: f75 -> f15 : [ C>=1+D ], cost: 1 25: f75 -> f10 : C'=1+C, D'=C, [ C==D ], cost: 1 35: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ C>=1+D && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ D>=1+C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ C>=1+D && free_6>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ D>=1+C && free_6>=1 && A>=1+D ], cost: 1-D+A 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 37: f10 -> f15 : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 45: f15 -> f75 : D'=C, [ D>=A && C==D ], cost: 2 46: f15 -> f28 : E'=1+E, J'=E, [ D>=A && C>=1+D ], cost: 2 47: f15 -> f28 : E'=1+E, J'=E, [ D>=A && D>=1+C ], cost: 2 48: f15 -> f75 : D'=C, F'=free_1, G'=free, H'=free+free_1, Q'=0, [ A>=1+D && C==D ], cost: 2 49: f15 -> f28 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, [ A>=1+D && C>=1+D ], cost: 2 50: f15 -> f28 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, [ A>=1+D && D>=1+C ], cost: 2 51: f28 -> f42 : K'=free_16+free_18-free_15, L'=free_8, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ 29>=J && free_9>=0 && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 ], cost: 2 52: f28 -> f42 : K'=free_23-free_20+free_21, L'=free_8, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ 29>=J && 0>=1+free_9 && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 ], cost: 2 53: f28 -> f42 : K'=free_16+free_18-free_15, L'=free_10, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ J>=31 && free_11>=0 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 ], cost: 2 54: f28 -> f42 : K'=free_23-free_20+free_21, L'=free_10, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ J>=31 && 0>=1+free_11 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 ], cost: 2 56: f28 -> f42 : J'=30, K'=free_23-free_20+free_21, L'=free_12, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ J==30 && 0>=1+free_13 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 ], cost: 2 57: f42 -> f42 : B'=-1+B, K'=free_37-O*free_28, L'=free_31, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32*P, T'=O*free_28, [ K*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+K*free_31 && 0>=1+free_38 && B>=C && free_32*P>=free_38*free_27 && free_38*free_27+free_27>=1+free_32*P && free_27>=free_35 && free_32*P>=free_38*free_34 && free_38*free_34+free_34>=1+free_32*P && free_35>=free_34 && K>=free_38*free_30 && free_38*free_30+free_30>=1+K && free_30>=free_26 && K>=free_38*free_39 && free_39+free_38*free_39>=1+K && free_26>=free_39 && free_32*free_31*P>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31*P && free_33>=free_29 && free_32*free_31*P>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31*P && free_29>=free_36 && U>=1+A ], cost: 2 58: f42 -> f42 : B'=-1+B, K'=free_51-free_42*O, L'=free_45, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46*P, T'=free_42*O, [ free_45*K>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*K && free_52>=1 && B>=C && free_46*P>=free_52*free_41 && free_52*free_41+free_41>=1+free_46*P && free_41>=free_49 && free_46*P>=free_48*free_52 && free_48*free_52+free_48>=1+free_46*P && free_49>=free_48 && K>=free_52*free_44 && free_52*free_44+free_44>=1+K && free_44>=free_40 && K>=free_52*free_53 && free_53+free_52*free_53>=1+K && free_40>=free_53 && free_45*free_46*P>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46*P && free_47>=free_43 && free_45*free_46*P>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46*P && free_43>=free_50 && U>=1+A ], cost: 2 59: f42 -> f42 : B'=-1+B, K'=free_37-O*free_28, L'=free_31, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=O*free_28, U'=1+A, [ K*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+K*free_31 && 0>=1+free_38 && B>=C && free_32*P>=free_38*free_27 && free_38*free_27+free_27>=1+free_32*P && free_27>=free_35 && free_32*P>=free_38*free_34 && free_38*free_34+free_34>=1+free_32*P && free_35>=free_34 && K>=free_38*free_30 && free_38*free_30+free_30>=1+K && free_30>=free_26 && K>=free_38*free_39 && free_39+free_38*free_39>=1+K && free_26>=free_39 && free_32*free_31*P>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31*P && free_33>=free_29 && free_32*free_31*P>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31*P && free_29>=free_36 && A>=U ], cost: 3-U+A 60: f42 -> f42 : B'=-1+B, K'=free_51-free_42*O, L'=free_45, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42*O, U'=1+A, [ free_45*K>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*K && free_52>=1 && B>=C && free_46*P>=free_52*free_41 && free_52*free_41+free_41>=1+free_46*P && free_41>=free_49 && free_46*P>=free_48*free_52 && free_48*free_52+free_48>=1+free_46*P && free_49>=free_48 && K>=free_52*free_44 && free_52*free_44+free_44>=1+K && free_44>=free_40 && K>=free_52*free_53 && free_53+free_52*free_53>=1+K && free_40>=free_53 && free_45*free_46*P>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46*P && free_47>=free_43 && free_45*free_46*P>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46*P && free_43>=free_50 && A>=U ], cost: 3-U+A 61: f42 -> f75 : [ C>=1+B && 0>=1+L ], cost: 2 62: f42 -> f75 : [ C>=1+B && L>=1 ], cost: 2 63: f42 -> f75 : L'=0, [ C>=1+B && L==0 ], cost: 2 64: f42 -> f75 : L'=0, S'=free_25*P, T'=O*free_24, [ B>=C ], cost: 2 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A Chained accelerated rules (with incoming rules): Start location: start 1: f75 -> f15 : [ C>=1+D ], cost: 1 25: f75 -> f10 : C'=1+C, D'=C, [ C==D ], cost: 1 35: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ C>=1+D && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ D>=1+C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ C>=1+D && free_6>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ D>=1+C && free_6>=1 && A>=1+D ], cost: 1-D+A 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 37: f10 -> f15 : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 45: f15 -> f75 : D'=C, [ D>=A && C==D ], cost: 2 46: f15 -> f28 : E'=1+E, J'=E, [ D>=A && C>=1+D ], cost: 2 47: f15 -> f28 : E'=1+E, J'=E, [ D>=A && D>=1+C ], cost: 2 48: f15 -> f75 : D'=C, F'=free_1, G'=free, H'=free+free_1, Q'=0, [ A>=1+D && C==D ], cost: 2 49: f15 -> f28 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, [ A>=1+D && C>=1+D ], cost: 2 50: f15 -> f28 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, [ A>=1+D && D>=1+C ], cost: 2 51: f28 -> f42 : K'=free_16+free_18-free_15, L'=free_8, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ 29>=J && free_9>=0 && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 ], cost: 2 52: f28 -> f42 : K'=free_23-free_20+free_21, L'=free_8, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ 29>=J && 0>=1+free_9 && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 ], cost: 2 53: f28 -> f42 : K'=free_16+free_18-free_15, L'=free_10, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ J>=31 && free_11>=0 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 ], cost: 2 54: f28 -> f42 : K'=free_23-free_20+free_21, L'=free_10, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ J>=31 && 0>=1+free_11 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 ], cost: 2 56: f28 -> f42 : J'=30, K'=free_23-free_20+free_21, L'=free_12, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ J==30 && 0>=1+free_13 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 ], cost: 2 65: f28 -> f42 : B'=-1+B, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32, T'=free_28, [ 29>=J && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 4 66: f28 -> f42 : B'=-1+B, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_32, T'=free_28, [ 29>=J && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 4 67: f28 -> f42 : B'=-1+B, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32, T'=free_28, [ J>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 4 68: f28 -> f42 : B'=-1+B, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_32, T'=free_28, [ J>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 4 69: f28 -> f42 : B'=-1+B, J'=30, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_32, T'=free_28, [ J==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 4 70: f28 -> f42 : B'=-1+B, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46, T'=free_42, [ 29>=J && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 4 71: f28 -> f42 : B'=-1+B, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_46, T'=free_42, [ 29>=J && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 4 72: f28 -> f42 : B'=-1+B, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46, T'=free_42, [ J>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 4 73: f28 -> f42 : B'=-1+B, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_46, T'=free_42, [ J>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 4 74: f28 -> f42 : B'=-1+B, J'=30, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_46, T'=free_42, [ J==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 4 75: f28 -> f42 : B'=-1+B, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ 29>=J && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 5-U+A 76: f28 -> f42 : B'=-1+B, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_54, T'=free_28, U'=1+A, [ 29>=J && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 5-U+A 77: f28 -> f42 : B'=-1+B, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ J>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 5-U+A 78: f28 -> f42 : B'=-1+B, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_54, T'=free_28, U'=1+A, [ J>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 5-U+A 79: f28 -> f42 : B'=-1+B, J'=30, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_54, T'=free_28, U'=1+A, [ J==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 5-U+A 80: f28 -> f42 : B'=-1+B, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ 29>=J && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 5-U+A 81: f28 -> f42 : B'=-1+B, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_54, T'=free_42, U'=1+A, [ 29>=J && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 5-U+A 82: f28 -> f42 : B'=-1+B, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ J>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 5-U+A 83: f28 -> f42 : B'=-1+B, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_54, T'=free_42, U'=1+A, [ J>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 5-U+A 84: f28 -> f42 : B'=-1+B, J'=30, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_54, T'=free_42, U'=1+A, [ J==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 5-U+A 61: f42 -> f75 : [ C>=1+B && 0>=1+L ], cost: 2 62: f42 -> f75 : [ C>=1+B && L>=1 ], cost: 2 63: f42 -> f75 : L'=0, [ C>=1+B && L==0 ], cost: 2 64: f42 -> f75 : L'=0, S'=free_25*P, T'=O*free_24, [ B>=C ], cost: 2 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A Eliminated locations (on tree-shaped paths): Start location: start 1: f75 -> f15 : [ C>=1+D ], cost: 1 25: f75 -> f10 : C'=1+C, D'=C, [ C==D ], cost: 1 35: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ C>=1+D && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ D>=1+C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ C>=1+D && free_6>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ D>=1+C && free_6>=1 && A>=1+D ], cost: 1-D+A 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 37: f10 -> f15 : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 45: f15 -> f75 : D'=C, [ D>=A && C==D ], cost: 2 48: f15 -> f75 : D'=C, F'=free_1, G'=free, H'=free+free_1, Q'=0, [ A>=1+D && C==D ], cost: 2 85: f15 -> f42 : E'=1+E, J'=E, K'=free_16+free_18-free_15, L'=free_8, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ D>=A && C>=1+D && 29>=E && free_9>=0 && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 ], cost: 4 86: f15 -> f42 : E'=1+E, J'=E, K'=free_23-free_20+free_21, L'=free_8, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ D>=A && C>=1+D && 29>=E && 0>=1+free_9 && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 ], cost: 4 87: f15 -> f42 : E'=1+E, J'=E, K'=free_16+free_18-free_15, L'=free_10, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ D>=A && C>=1+D && E>=31 && free_11>=0 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 ], cost: 4 88: f15 -> f42 : E'=1+E, J'=E, K'=free_23-free_20+free_21, L'=free_10, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ D>=A && C>=1+D && E>=31 && 0>=1+free_11 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 ], cost: 4 89: f15 -> f42 : E'=1+E, J'=30, K'=free_23-free_20+free_21, L'=free_12, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ D>=A && C>=1+D && E==30 && 0>=1+free_13 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 ], cost: 4 90: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32, T'=free_28, [ D>=A && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 91: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_32, T'=free_28, [ D>=A && C>=1+D && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 92: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32, T'=free_28, [ D>=A && C>=1+D && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 93: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_32, T'=free_28, [ D>=A && C>=1+D && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 94: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_32, T'=free_28, [ D>=A && C>=1+D && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 95: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46, T'=free_42, [ D>=A && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 96: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_46, T'=free_42, [ D>=A && C>=1+D && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 97: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46, T'=free_42, [ D>=A && C>=1+D && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 98: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_46, T'=free_42, [ D>=A && C>=1+D && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 99: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_46, T'=free_42, [ D>=A && C>=1+D && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 100: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ D>=A && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 101: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_54, T'=free_28, U'=1+A, [ D>=A && C>=1+D && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 102: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ D>=A && C>=1+D && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 103: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_54, T'=free_28, U'=1+A, [ D>=A && C>=1+D && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 104: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_54, T'=free_28, U'=1+A, [ D>=A && C>=1+D && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 105: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ D>=A && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 106: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_54, T'=free_42, U'=1+A, [ D>=A && C>=1+D && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 107: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ D>=A && C>=1+D && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 108: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_54, T'=free_42, U'=1+A, [ D>=A && C>=1+D && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 109: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_54, T'=free_42, U'=1+A, [ D>=A && C>=1+D && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 110: f15 -> f42 : E'=1+E, J'=E, K'=free_16+free_18-free_15, L'=free_8, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ D>=A && D>=1+C && 29>=E && free_9>=0 && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 ], cost: 4 111: f15 -> f42 : E'=1+E, J'=E, K'=free_23-free_20+free_21, L'=free_8, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ D>=A && D>=1+C && 29>=E && 0>=1+free_9 && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 ], cost: 4 112: f15 -> f42 : E'=1+E, J'=E, K'=free_16+free_18-free_15, L'=free_10, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ D>=A && D>=1+C && E>=31 && free_11>=0 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 ], cost: 4 113: f15 -> f42 : E'=1+E, J'=E, K'=free_23-free_20+free_21, L'=free_10, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ D>=A && D>=1+C && E>=31 && 0>=1+free_11 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 ], cost: 4 114: f15 -> f42 : E'=1+E, J'=30, K'=free_23-free_20+free_21, L'=free_12, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ D>=A && D>=1+C && E==30 && 0>=1+free_13 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 ], cost: 4 115: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32, T'=free_28, [ D>=A && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 116: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_32, T'=free_28, [ D>=A && D>=1+C && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 117: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32, T'=free_28, [ D>=A && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 118: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_32, T'=free_28, [ D>=A && D>=1+C && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 119: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_32, T'=free_28, [ D>=A && D>=1+C && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 120: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46, T'=free_42, [ D>=A && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 121: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_46, T'=free_42, [ D>=A && D>=1+C && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 122: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46, T'=free_42, [ D>=A && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 123: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_46, T'=free_42, [ D>=A && D>=1+C && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 124: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_46, T'=free_42, [ D>=A && D>=1+C && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 125: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ D>=A && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 126: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_54, T'=free_28, U'=1+A, [ D>=A && D>=1+C && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 127: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ D>=A && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 128: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_54, T'=free_28, U'=1+A, [ D>=A && D>=1+C && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 129: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_54, T'=free_28, U'=1+A, [ D>=A && D>=1+C && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 130: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ D>=A && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 131: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_54, T'=free_42, U'=1+A, [ D>=A && D>=1+C && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 132: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ D>=A && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 133: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_54, T'=free_42, U'=1+A, [ D>=A && D>=1+C && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 134: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_54, T'=free_42, U'=1+A, [ D>=A && D>=1+C && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 135: f15 -> f42 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_16+free_18-free_15, L'=free_8, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ A>=1+D && C>=1+D && 29>=E && free_9>=0 && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 ], cost: 4 136: f15 -> f42 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_23-free_20+free_21, L'=free_8, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ A>=1+D && C>=1+D && 29>=E && 0>=1+free_9 && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 ], cost: 4 137: f15 -> f42 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_16+free_18-free_15, L'=free_10, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ A>=1+D && C>=1+D && E>=31 && free_11>=0 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 ], cost: 4 138: f15 -> f42 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_23-free_20+free_21, L'=free_10, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ A>=1+D && C>=1+D && E>=31 && 0>=1+free_11 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 ], cost: 4 139: f15 -> f42 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=30, K'=free_23-free_20+free_21, L'=free_12, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ A>=1+D && C>=1+D && E==30 && 0>=1+free_13 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 ], cost: 4 140: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32, T'=free_28, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 141: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_32, T'=free_28, [ A>=1+D && C>=1+D && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 142: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32, T'=free_28, [ A>=1+D && C>=1+D && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 143: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_32, T'=free_28, [ A>=1+D && C>=1+D && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 144: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=30, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_32, T'=free_28, [ A>=1+D && C>=1+D && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 145: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46, T'=free_42, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 146: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_46, T'=free_42, [ A>=1+D && C>=1+D && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 147: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46, T'=free_42, [ A>=1+D && C>=1+D && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 148: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_46, T'=free_42, [ A>=1+D && C>=1+D && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 149: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=30, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_46, T'=free_42, [ A>=1+D && C>=1+D && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 150: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 151: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 152: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && C>=1+D && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 153: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && C>=1+D && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 154: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=30, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && C>=1+D && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 155: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 156: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 157: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 158: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 159: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=30, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 160: f15 -> f42 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_16+free_18-free_15, L'=free_8, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ A>=1+D && D>=1+C && 29>=E && free_9>=0 && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 ], cost: 4 161: f15 -> f42 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_23-free_20+free_21, L'=free_8, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ A>=1+D && D>=1+C && 29>=E && 0>=1+free_9 && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 ], cost: 4 162: f15 -> f42 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_16+free_18-free_15, L'=free_10, M'=free_14, N'=free_14, O'=1, P'=1, Q_1'=0, [ A>=1+D && D>=1+C && E>=31 && free_11>=0 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 ], cost: 4 163: f15 -> f42 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_23-free_20+free_21, L'=free_10, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ A>=1+D && D>=1+C && E>=31 && 0>=1+free_11 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 ], cost: 4 164: f15 -> f42 : E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=30, K'=free_23-free_20+free_21, L'=free_12, N'=-free_19, O'=1, P'=1, Q_1'=0, R'=free_19, [ A>=1+D && D>=1+C && E==30 && 0>=1+free_13 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 ], cost: 4 165: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32, T'=free_28, [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 166: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_32, T'=free_28, [ A>=1+D && D>=1+C && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 167: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_32, T'=free_28, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 168: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_32, T'=free_28, [ A>=1+D && D>=1+C && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 169: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=30, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_32, T'=free_28, [ A>=1+D && D>=1+C && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && U>=1+A ], cost: 6 170: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46, T'=free_42, [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 171: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_46, T'=free_42, [ A>=1+D && D>=1+C && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 172: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_46, T'=free_42, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 173: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_46, T'=free_42, [ A>=1+D && D>=1+C && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 174: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=30, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_46, T'=free_42, [ A>=1+D && D>=1+C && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && U>=1+A ], cost: 6 175: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 176: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 177: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 178: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 179: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=30, K'=free_37-free_28, L'=free_31, N'=-free_19, O'=free_26, P'=free_35, Q_1'=free_29, R'=free_19, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_31*(free_23-free_20+free_21)>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+free_31*(free_23-free_20+free_21) && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_23-free_20+free_21>=free_38*free_30 && free_38*free_30+free_30>=1+free_23-free_20+free_21 && free_30>=free_26 && free_23-free_20+free_21>=free_38*free_39 && free_39+free_38*free_39>=1+free_23-free_20+free_21 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 180: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 181: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && -free_19*free_21+free_9*free_21<=-1-free_19*free_21+free_9*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 182: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 183: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_11*free_21-free_19*free_21<=-1+free_11*free_21-free_19*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 184: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=30, K'=free_51-free_42, L'=free_45, N'=-free_19, O'=free_40, P'=free_49, Q_1'=free_43, R'=free_19, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && D>=1+C && E==30 && -free_19*free_21+free_13*free_21<=-1-free_19*free_21+free_13*free_21+free_21 && free_45*(free_23-free_20+free_21)>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+free_45*(free_23-free_20+free_21) && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_23-free_20+free_21>=free_52*free_44 && free_52*free_44+free_44>=1+free_23-free_20+free_21 && free_44>=free_40 && free_23-free_20+free_21>=free_52*free_53 && free_53+free_52*free_53>=1+free_23-free_20+free_21 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 61: f42 -> f75 : [ C>=1+B && 0>=1+L ], cost: 2 62: f42 -> f75 : [ C>=1+B && L>=1 ], cost: 2 63: f42 -> f75 : L'=0, [ C>=1+B && L==0 ], cost: 2 64: f42 -> f75 : L'=0, S'=free_25*P, T'=O*free_24, [ B>=C ], cost: 2 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A Applied pruning (of leafs and parallel rules): Start location: start 1: f75 -> f15 : [ C>=1+D ], cost: 1 25: f75 -> f10 : C'=1+C, D'=C, [ C==D ], cost: 1 35: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ C>=1+D && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ D>=1+C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ C>=1+D && free_6>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ D>=1+C && free_6>=1 && A>=1+D ], cost: 1-D+A 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 37: f10 -> f15 : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 45: f15 -> f75 : D'=C, [ D>=A && C==D ], cost: 2 48: f15 -> f75 : D'=C, F'=free_1, G'=free, H'=free+free_1, Q'=0, [ A>=1+D && C==D ], cost: 2 125: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ D>=A && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 127: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ D>=A && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 155: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U ], cost: 7-U+A 175: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 177: f15 -> f42 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 7-U+A 61: f42 -> f75 : [ C>=1+B && 0>=1+L ], cost: 2 62: f42 -> f75 : [ C>=1+B && L>=1 ], cost: 2 63: f42 -> f75 : L'=0, [ C>=1+B && L==0 ], cost: 2 64: f42 -> f75 : L'=0, S'=free_25*P, T'=O*free_24, [ B>=C ], cost: 2 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A Eliminated locations (on tree-shaped paths): Start location: start 1: f75 -> f15 : [ C>=1+D ], cost: 1 25: f75 -> f10 : C'=1+C, D'=C, [ C==D ], cost: 1 35: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ C>=1+D && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ D>=1+C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ C>=1+D && free_6>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ D>=1+C && free_6>=1 && A>=1+D ], cost: 1-D+A 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 37: f10 -> f15 : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 45: f15 -> f75 : D'=C, [ D>=A && C==D ], cost: 2 48: f15 -> f75 : D'=C, F'=free_1, G'=free, H'=free+free_1, Q'=0, [ A>=1+D && C==D ], cost: 2 185: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ D>=A && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && 0>=1+free_31 ], cost: 9-U+A 186: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ D>=A && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31>=1 ], cost: 9-U+A 187: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ D>=A && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 9-U+A 188: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_25*free_35, T'=free_26*free_24, U'=1+A, [ D>=A && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 9-U+A 189: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ D>=A && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && 0>=1+free_31 ], cost: 9-U+A 190: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ D>=A && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31>=1 ], cost: 9-U+A 191: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ D>=A && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 9-U+A 192: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_25*free_35, T'=free_26*free_24, U'=1+A, [ D>=A && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 9-U+A 193: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && 0>=1+free_45 ], cost: 9-U+A 194: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && free_45>=1 ], cost: 9-U+A 195: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=0, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && free_45==0 ], cost: 9-U+A 196: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=0, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_25*free_49, T'=free_40*free_24, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && -1+B>=C ], cost: 9-U+A 197: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && 0>=1+free_31 ], cost: 9-U+A 198: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31>=1 ], cost: 9-U+A 199: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 9-U+A 200: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_25*free_35, T'=free_26*free_24, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 9-U+A 201: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && 0>=1+free_31 ], cost: 9-U+A 202: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=free_31, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31>=1 ], cost: 9-U+A 203: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 9-U+A 204: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_25*free_35, T'=free_26*free_24, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 9-U+A 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A Applied pruning (of leafs and parallel rules): Start location: start 1: f75 -> f15 : [ C>=1+D ], cost: 1 25: f75 -> f10 : C'=1+C, D'=C, [ C==D ], cost: 1 35: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ C>=1+D && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ D>=1+C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ C>=1+D && free_6>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ D>=1+C && free_6>=1 && A>=1+D ], cost: 1-D+A 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 37: f10 -> f15 : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 188: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_25*free_35, T'=free_26*free_24, U'=1+A, [ D>=A && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 9-U+A 194: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && free_45>=1 ], cost: 9-U+A 199: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 9-U+A 203: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 9-U+A 204: f15 -> f75 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_25*free_35, T'=free_26*free_24, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 9-U+A 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A Eliminated locations (on tree-shaped paths): Start location: start 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 37: f10 -> f15 : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 205: f15 -> f15 : B'=-1+B, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && free_45>=1 ], cost: 10-U+A 206: f15 -> f10 : B'=-1+B, C'=1+C, D'=C, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && free_45>=1 && C==D ], cost: 10-U+A 207: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && free_45>=1 && 0>=1+free_3 ], cost: 10-D-U+2*A 208: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && free_45>=1 && D>=1+C && 0>=1+free_3 ], cost: 10-D-U+2*A 209: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && free_45>=1 && free_6>=1 ], cost: 10-D-U+2*A 210: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && free_45>=1 && D>=1+C && free_6>=1 ], cost: 10-D-U+2*A 211: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 && 0>=1+free_3 ], cost: 10-D-U+2*A 212: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 && free_6>=1 ], cost: 10-D-U+2*A 213: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 && 0>=1+free_3 ], cost: 10-D-U+2*A 214: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 && free_6>=1 ], cost: 10-D-U+2*A 215: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_25*free_35, T'=free_26*free_24, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C && 0>=1+free_3 ], cost: 10-D-U+2*A 216: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_25*free_35, T'=free_26*free_24, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C && free_6>=1 ], cost: 10-D-U+2*A 217: f15 -> [16] : [ D>=A && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 9-U+A 218: f15 -> [16] : [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 9-U+A 219: f15 -> [16] : [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 9-U+A 220: f15 -> [16] : [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 9-U+A 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A Applied pruning (of leafs and parallel rules): Start location: start 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 37: f10 -> f15 : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 206: f15 -> f10 : B'=-1+B, C'=1+C, D'=C, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && free_45>=1 && C==D ], cost: 10-U+A 207: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && free_45>=1 && 0>=1+free_3 ], cost: 10-D-U+2*A 209: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && free_45>=1 && free_6>=1 ], cost: 10-D-U+2*A 211: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 && 0>=1+free_3 ], cost: 10-D-U+2*A 213: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 && 0>=1+free_3 ], cost: 10-D-U+2*A 216: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_25*free_35, T'=free_26*free_24, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C && free_6>=1 ], cost: 10-D-U+2*A 217: f15 -> [16] : [ D>=A && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 9-U+A 218: f15 -> [16] : [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 9-U+A 219: f15 -> [16] : [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 9-U+A 220: f15 -> [16] : [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 9-U+A 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A Accelerating simple loops of location 3. Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 207: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && -B+C==0 && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && free_45>=1 && 0>=1+free_3 ], cost: 10-D-U+2*A 209: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && -B+C==0 && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && free_45>=1 && free_6>=1 ], cost: 10-D-U+2*A 211: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_37>=1 && 0>=1+free_38 && -B+C==0 && free_27>=free_35 && free_35>=free_34 && free_30>=free_26 && free_26>=free_39 && A>=U && 0>=1+free_3 && free_38*free_27<=-1+free_38*free_27+free_27 && free_38*free_34<=-1+free_38*free_27+free_27 && free_38*free_27<=-1+free_38*free_34+free_34 && free_38*free_34<=-1+free_38*free_34+free_34 && free_38*free_30-free_18+free_15<=-1+free_38*free_30+free_30-free_18+free_15 && free_38*free_39-free_18+free_15<=-1+free_38*free_30+free_30-free_18+free_15 && free_38*free_30-free_18+free_15<=-1+free_39+free_38*free_39-free_18+free_15 && free_38*free_39-free_18+free_15<=-1+free_39+free_38*free_39-free_18+free_15 && 1<=free_29 ], cost: 10-D-U+2*A 213: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_37>=1 && 0>=1+free_38 && -B+C==0 && free_27>=free_35 && free_35>=free_34 && free_30>=free_26 && free_26>=free_39 && A>=U && 0>=1+free_3 && free_38*free_27<=-1+free_38*free_27+free_27 && free_38*free_34<=-1+free_38*free_27+free_27 && free_38*free_27<=-1+free_38*free_34+free_34 && free_38*free_34<=-1+free_38*free_34+free_34 && free_38*free_30-free_18+free_15<=-1+free_38*free_30+free_30-free_18+free_15 && free_38*free_39-free_18+free_15<=-1+free_38*free_30+free_30-free_18+free_15 && free_38*free_30-free_18+free_15<=-1+free_39+free_38*free_39-free_18+free_15 && free_38*free_39-free_18+free_15<=-1+free_39+free_38*free_39-free_18+free_15 && 1<=free_29 ], cost: 10-D-U+2*A 216: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_25*free_35, T'=free_26*free_24, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C && free_6>=1 ], cost: 10-D-U+2*A Accelerated rule 207 with metering function B-C, yielding the new rule 221. Accelerated rule 209 with metering function B-C, yielding the new rule 222. Accelerated rule 211 with metering function B-C, yielding the new rule 223. Accelerated rule 213 with metering function B-C, yielding the new rule 224. Found no metering function for rule 216. Removing the simple loops: 207 209 211 213. Accelerated all simple loops using metering functions (where possible): Start location: start 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 37: f10 -> f15 : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 206: f15 -> f10 : B'=-1+B, C'=1+C, D'=C, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && free_45>=1 && C==D ], cost: 10-U+A 216: f15 -> f15 : B'=-1+B, D'=A, E'=1+E, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, J'=E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_25*free_35, T'=free_26*free_24, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C && free_6>=1 ], cost: 10-D-U+2*A 217: f15 -> [16] : [ D>=A && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 9-U+A 218: f15 -> [16] : [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 9-U+A 219: f15 -> [16] : [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 9-U+A 220: f15 -> [16] : [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 9-U+A 221: f15 -> f15 : B'=C, D'=A, E'=B-C+E, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, J'=-1+B-C+E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && -B+C==0 && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && free_45>=1 && 0>=1+free_3 && B-C>=1 ], cost: 9*B-9*C 222: f15 -> f15 : B'=C, D'=A, E'=B-C+E, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, J'=-1+B-C+E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && -B+C==0 && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && free_45>=1 && free_6>=1 && B-C>=1 ], cost: 9*B-9*C 223: f15 -> f15 : B'=C, D'=A, E'=B-C+E, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, J'=-1+B-C+E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_37>=1 && 0>=1+free_38 && -B+C==0 && free_27>=free_35 && free_35>=free_34 && free_30>=free_26 && free_26>=free_39 && A>=U && 0>=1+free_3 && free_38*free_27<=-1+free_38*free_27+free_27 && free_38*free_34<=-1+free_38*free_27+free_27 && free_38*free_27<=-1+free_38*free_34+free_34 && free_38*free_34<=-1+free_38*free_34+free_34 && free_38*free_30-free_18+free_15<=-1+free_38*free_30+free_30-free_18+free_15 && free_38*free_39-free_18+free_15<=-1+free_38*free_30+free_30-free_18+free_15 && free_38*free_30-free_18+free_15<=-1+free_39+free_38*free_39-free_18+free_15 && free_38*free_39-free_18+free_15<=-1+free_39+free_38*free_39-free_18+free_15 && 1<=free_29 && B-C>=1 ], cost: 9*B-9*C 224: f15 -> f15 : B'=C, D'=A, E'=B-C+E, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, J'=-1+B-C+E, K'=free_37-free_28, L'=0, M'=free_14, N'=free_14, O'=free_26, P'=free_35, Q_1'=free_29, S'=free_54, T'=free_28, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_37>=1 && 0>=1+free_38 && -B+C==0 && free_27>=free_35 && free_35>=free_34 && free_30>=free_26 && free_26>=free_39 && A>=U && 0>=1+free_3 && free_38*free_27<=-1+free_38*free_27+free_27 && free_38*free_34<=-1+free_38*free_27+free_27 && free_38*free_27<=-1+free_38*free_34+free_34 && free_38*free_34<=-1+free_38*free_34+free_34 && free_38*free_30-free_18+free_15<=-1+free_38*free_30+free_30-free_18+free_15 && free_38*free_39-free_18+free_15<=-1+free_38*free_30+free_30-free_18+free_15 && free_38*free_30-free_18+free_15<=-1+free_39+free_38*free_39-free_18+free_15 && free_38*free_39-free_18+free_15<=-1+free_39+free_38*free_39-free_18+free_15 && 1<=free_29 && B-C>=1 ], cost: 9*B-9*C 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A Chained accelerated rules (with incoming rules): Start location: start 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 37: f10 -> f15 : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 206: f15 -> f10 : B'=-1+B, C'=1+C, D'=C, E'=1+E, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=E, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && free_45>=1 && C==D ], cost: 10-U+A 217: f15 -> [16] : [ D>=A && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 9-U+A 218: f15 -> [16] : [ A>=1+D && D>=1+C && 29>=E && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 9-U+A 219: f15 -> [16] : [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 9-U+A 220: f15 -> [16] : [ A>=1+D && D>=1+C && E>=31 && free_16*free_14+free_16*free_11<=-1+free_16*free_14+free_16*free_11+free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 9-U+A 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A Eliminated locations (on tree-shaped paths): Start location: start 225: f10 -> f10 : B'=-1+B, C'=1+C, D'=C, E'=1, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=0, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=C && A>=1+D && C>=1+D && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && B>=C && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && C>=B && free_45>=1 && C==D ], cost: 11-U+A 226: f10 -> [16] : E'=0, [ A>=C && D>=A && D>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 10-U+A 227: f10 -> [16] : E'=0, [ A>=C && A>=1+D && D>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 10-U+A 228: f10 -> [16] : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ 0>=1+free_3 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 10-D-U+2*A 229: f10 -> [16] : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ free_6>=1 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 10-D-U+2*A 230: f10 -> [18] : [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 231: f10 -> [18] : [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A Accelerating simple loops of location 2. Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 225: f10 -> f10 : B'=-1+B, C'=1+C, D'=C, E'=1, F'=free_1, G'=free, H'=free+free_1, Q'=0, J'=0, K'=free_51-free_42, L'=free_45, M'=free_14, N'=free_14, O'=free_40, P'=free_49, Q_1'=free_43, S'=free_54, T'=free_42, U'=1+A, [ A>=C && A>=1+D && C>=1+D && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && -B+C==0 && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && free_45>=1 && C==D ], cost: 11-U+A Accelerated rule 225 with NONTERM, yielding the new rule 232. Removing the simple loops: 225. Accelerated all simple loops using metering functions (where possible): Start location: start 226: f10 -> [16] : E'=0, [ A>=C && D>=A && D>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 10-U+A 227: f10 -> [16] : E'=0, [ A>=C && A>=1+D && D>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 10-U+A 228: f10 -> [16] : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ 0>=1+free_3 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 10-D-U+2*A 229: f10 -> [16] : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ free_6>=1 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 10-D-U+2*A 230: f10 -> [18] : [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 231: f10 -> [18] : [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 232: f10 -> [19] : [ A>=C && A>=1+D && C>=1+D && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && -B+C==0 && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_41>=free_49 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_49>=free_48 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_44>=free_40 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_40>=free_53 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_47>=free_43 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && free_43>=free_50 && A>=U && free_45>=1 && C==D ], cost: NONTERM 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A Chained accelerated rules (with incoming rules): Start location: start 226: f10 -> [16] : E'=0, [ A>=C && D>=A && D>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 10-U+A 227: f10 -> [16] : E'=0, [ A>=C && A>=1+D && D>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && B>=C && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && C>=B && free_31==0 ], cost: 10-U+A 228: f10 -> [16] : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ 0>=1+free_3 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 10-D-U+2*A 229: f10 -> [16] : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ free_6>=1 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 10-D-U+2*A 230: f10 -> [18] : [ A>=C && 0>=1+free_3 && A>=1+D ], cost: 1-D+A 231: f10 -> [18] : [ A>=C && free_6>=1 && A>=1+D ], cost: 1-D+A 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A 233: start -> [19] : [ B>=1+A && A>=C && A>=1+D && C>=1+D && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && -B+C==0 && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && A>=U && free_45>=1 && C==D && free_48<=free_41 && free_50<=free_47 && free_53<=free_44 ], cost: NONTERM 234: start -> [19] : B'=1+A, [ A>=B && A>=C && A>=1+D && C>=1+D && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && -1-A+C==0 && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && A>=U && free_45>=1 && C==D && free_48<=free_41 && free_50<=free_47 && free_53<=free_44 ], cost: NONTERM Eliminated locations (on tree-shaped paths): Start location: start 233: start -> [19] : [ B>=1+A && A>=C && A>=1+D && C>=1+D && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && -B+C==0 && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && A>=U && free_45>=1 && C==D && free_48<=free_41 && free_50<=free_47 && free_53<=free_44 ], cost: NONTERM 234: start -> [19] : B'=1+A, [ A>=B && A>=C && A>=1+D && C>=1+D && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && -1-A+C==0 && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && A>=U && free_45>=1 && C==D && free_48<=free_41 && free_50<=free_47 && free_53<=free_44 ], cost: NONTERM 235: start -> [16] : E'=0, [ B>=1+A && A>=C && D>=A && D>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 12-U+A 236: start -> [16] : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ B>=1+A && 0>=1+free_3 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 12-D-U+2*A 237: start -> [16] : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ B>=1+A && free_6>=1 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 12-D-U+2*A 238: start -> [18] : [ B>=1+A && A>=C && 0>=1+free_3 && A>=1+D ], cost: 3-D+A 239: start -> [18] : [ B>=1+A && A>=C && free_6>=1 && A>=1+D ], cost: 3-D+A 240: start -> [16] : B'=1+A, E'=0, [ A>=B && A>=C && D>=A && D>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 13-B-U+2*A 241: start -> [16] : B'=1+A, D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ A>=B && 0>=1+free_3 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 13-B-D-U+3*A 242: start -> [16] : B'=1+A, D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=B && free_6>=1 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 13-B-D-U+3*A 243: start -> [18] : B'=1+A, [ A>=B && A>=C && 0>=1+free_3 && A>=1+D ], cost: 4-B-D+2*A 244: start -> [18] : B'=1+A, [ A>=B && A>=C && free_6>=1 && A>=1+D ], cost: 4-B-D+2*A 245: start -> [20] : [ A>=B ], cost: 3-B+A Applied pruning (of leafs and parallel rules): Start location: start 233: start -> [19] : [ B>=1+A && A>=C && A>=1+D && C>=1+D && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && -B+C==0 && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && A>=U && free_45>=1 && C==D && free_48<=free_41 && free_50<=free_47 && free_53<=free_44 ], cost: NONTERM 234: start -> [19] : B'=1+A, [ A>=B && A>=C && A>=1+D && C>=1+D && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && -1-A+C==0 && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && A>=U && free_45>=1 && C==D && free_48<=free_41 && free_50<=free_47 && free_53<=free_44 ], cost: NONTERM 235: start -> [16] : E'=0, [ B>=1+A && A>=C && D>=A && D>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 12-U+A 236: start -> [16] : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ B>=1+A && 0>=1+free_3 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 12-D-U+2*A 237: start -> [16] : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ B>=1+A && free_6>=1 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 12-D-U+2*A 238: start -> [18] : [ B>=1+A && A>=C && 0>=1+free_3 && A>=1+D ], cost: 3-D+A 239: start -> [18] : [ B>=1+A && A>=C && free_6>=1 && A>=1+D ], cost: 3-D+A 240: start -> [16] : B'=1+A, E'=0, [ A>=B && A>=C && D>=A && D>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 13-B-U+2*A 242: start -> [16] : B'=1+A, D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=B && free_6>=1 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 13-B-D-U+3*A 243: start -> [18] : B'=1+A, [ A>=B && A>=C && 0>=1+free_3 && A>=1+D ], cost: 4-B-D+2*A 244: start -> [18] : B'=1+A, [ A>=B && A>=C && free_6>=1 && A>=1+D ], cost: 4-B-D+2*A 245: start -> [20] : [ A>=B ], cost: 3-B+A ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: start 233: start -> [19] : [ B>=1+A && A>=C && A>=1+D && C>=1+D && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && -B+C==0 && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && A>=U && free_45>=1 && C==D && free_48<=free_41 && free_50<=free_47 && free_53<=free_44 ], cost: NONTERM 234: start -> [19] : B'=1+A, [ A>=B && A>=C && A>=1+D && C>=1+D && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && -1-A+C==0 && free_46>=free_52*free_41 && free_52*free_41+free_41>=1+free_46 && free_46>=free_48*free_52 && free_48*free_52+free_48>=1+free_46 && free_16+free_18-free_15>=free_52*free_44 && free_52*free_44+free_44>=1+free_16+free_18-free_15 && free_16+free_18-free_15>=free_52*free_53 && free_53+free_52*free_53>=1+free_16+free_18-free_15 && free_45*free_46>=free_45*free_52*free_47 && free_45*free_52*free_47+free_47>=1+free_45*free_46 && free_45*free_46>=free_45*free_52*free_50 && free_45*free_52*free_50+free_50>=1+free_45*free_46 && A>=U && free_45>=1 && C==D && free_48<=free_41 && free_50<=free_47 && free_53<=free_44 ], cost: NONTERM 235: start -> [16] : E'=0, [ B>=1+A && A>=C && D>=A && D>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 12-U+A 236: start -> [16] : D'=A, E'=0, F'=free_4, G'=free_2, H'=free_4+free_2, Q'=free_3, [ B>=1+A && 0>=1+free_3 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 12-D-U+2*A 237: start -> [16] : D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ B>=1+A && free_6>=1 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U && -1+B>=C ], cost: 12-D-U+2*A 238: start -> [18] : [ B>=1+A && A>=C && 0>=1+free_3 && A>=1+D ], cost: 3-D+A 239: start -> [18] : [ B>=1+A && A>=C && free_6>=1 && A>=1+D ], cost: 3-D+A 240: start -> [16] : B'=1+A, E'=0, [ A>=B && A>=C && D>=A && D>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 13-B-U+2*A 242: start -> [16] : B'=1+A, D'=A, E'=0, F'=free_7, G'=free_5, H'=free_7+free_5, Q'=free_6, [ A>=B && free_6>=1 && A>=1+D && A>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ], cost: 13-B-D-U+3*A 243: start -> [18] : B'=1+A, [ A>=B && A>=C && 0>=1+free_3 && A>=1+D ], cost: 4-B-D+2*A 244: start -> [18] : B'=1+A, [ A>=B && A>=C && free_6>=1 && A>=1+D ], cost: 4-B-D+2*A 245: start -> [20] : [ A>=B ], cost: 3-B+A Computing asymptotic complexity for rule 233 Could not solve the limit problem. Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 234 Simplified the guard: 234: start -> [19] : B'=1+A, [ A>=C && A>=1+D && C>=1+D && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_45>=free_51*free_45*free_52 && free_51+free_51*free_45*free_52>=1+(free_16+free_18-free_15)*free_45 && free_52>=1 && -1-A+C==0 ], cost: NONTERM Could not solve the limit problem. Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 235 Solved the limit problem by the following transformations: Created initial limit problem: 1-free_38*free_37*free_31+(free_16+free_18-free_15)*free_31 (+/+!), 1+free_26-free_39 (+/+!), -free_32*free_31+free_36+free_38*free_36*free_31 (+/+!), 1+free_29-free_36 (+/+!), free_16 (+/+!), 1-free_38*free_27+free_32 (+/+!), -free_16+free_39+free_38*free_39-free_18+free_15 (+/+!), 1+free_16-free_38*free_39+free_18-free_15 (+/+!), -free_32+free_38*free_34+free_34 (+/+!), B-A (+/+!), 1+D-A (+/+!), free_38*free_27-free_32+free_27 (+/+!), 12-U+A (+), 1-free_35+free_27 (+/+!), free_38*free_33*free_31-free_32*free_31+free_33 (+/+!), 1+A-C (+/+!), 1+free_32*free_31-free_38*free_36*free_31 (+/+!), 1-U+A (+/+!), -free_16+free_38*free_30+free_30-free_18+free_15 (+/+!), 1+free_32-free_38*free_34 (+/+!), 1-free_29+free_33 (+/+!), free_37+free_38*free_37*free_31-(free_16+free_18-free_15)*free_31 (+/+!), 1+free_16-free_38*free_30+free_18-free_15 (+/+!), 1+free_35-free_34 (+/+!), -free_38 (+/+!), 1-free_38*free_33*free_31+free_32*free_31 (+/+!), 1-free_26+free_30 (+/+!), D-C (+/+!) [not solved] removing all constraints (solved by SMT) resulting limit problem: [solved] applying transformation rule (C) using substitution {free_38==-1,B==1,free_35==2*n,free_32==-n,free_16==1,free_29==1,free_26==2*n,D==0,free_39==2*n,free_36==1,U==-n,A==0,free_33==1,free_30==2*n,free_27==2*n,C==-1,free_37==1,free_34==2*n,free_18==0,free_31==0,free_15==n} resulting limit problem: [solved] Solution: free_38 / -1 free_9 / 0 B / 1 free_35 / 2*n free_32 / -n free_16 / 1 free_29 / 1 free_26 / 2*n D / 0 free_39 / 2*n free_36 / 1 U / -n A / 0 free_33 / 1 free_30 / 2*n free_14 / 0 free_27 / 2*n C / -1 free_37 / 1 free_34 / 2*n free_18 / 0 free_31 / 0 free_15 / n Resulting cost 12+n has complexity: Poly(n^1) Found new complexity Poly(n^1). Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Poly(n^1) Cpx degree: 1 Solved cost: 12+n Rule cost: 12-U+A Rule guard: [ B>=1+A && A>=C && D>=A && D>=1+C && free_16*free_14+free_9*free_16<=-1+free_16*free_14+free_16+free_9*free_16 && (free_16+free_18-free_15)*free_31>=free_38*free_37*free_31 && free_37+free_38*free_37*free_31>=1+(free_16+free_18-free_15)*free_31 && 0>=1+free_38 && free_32>=free_38*free_27 && free_38*free_27+free_27>=1+free_32 && free_27>=free_35 && free_32>=free_38*free_34 && free_38*free_34+free_34>=1+free_32 && free_35>=free_34 && free_16+free_18-free_15>=free_38*free_30 && free_38*free_30+free_30>=1+free_16+free_18-free_15 && free_30>=free_26 && free_16+free_18-free_15>=free_38*free_39 && free_39+free_38*free_39>=1+free_16+free_18-free_15 && free_26>=free_39 && free_32*free_31>=free_38*free_33*free_31 && free_38*free_33*free_31+free_33>=1+free_32*free_31 && free_33>=free_29 && free_32*free_31>=free_38*free_36*free_31 && free_36+free_38*free_36*free_31>=1+free_32*free_31 && free_29>=free_36 && A>=U ] WORST_CASE(Omega(n^1),?) ---------------------------------------- (2) BOUNDS(n^1, INF)