/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, INF). (0) CpxIntTrs (1) Loat Proof [FINISHED, 39.8 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, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D ], cost: 1 6: f15 -> f15 : D'=1+D, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ 0>=1+free_4 && A>=1+D ], cost: 1 7: f15 -> f15 : D'=1+D, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ free_7>=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_8, L'=free_9, [ 29>=J ], cost: 1 12: f28 -> f32 : K'=free_10, L'=free_11, [ J>=31 ], cost: 1 13: f28 -> f32 : J'=30, K'=free_12, L'=free_13, [ J==30 ], cost: 1 14: f32 -> f42 : K'=free_18+free_15-free_17, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ free_14>=free_18*K+free_18*free_16 && free_18+free_18*K+free_18*free_16>=1+free_14 && K>=0 ], cost: 1 15: f32 -> f42 : K'=-free_22+free_23+free_20, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ free_19+free_21*free_23>=K*free_23 && K*free_23+free_23>=1+free_19+free_21*free_23 && 0>=1+K ], cost: 1 16: f42 -> f68 : [ C>=1+B ], cost: 1 17: f42 -> f68 : L'=0, S'=P*free_24, T'=free_25*O, [ B>=C ], cost: 1 18: f42 -> f60 : K'=-free_33*O+free_28, L'=free_36, O'=free_31, P'=free_27, Q_1'=free_30, S'=P*free_34, T'=free_33*O, [ free_36*K>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*K && 0>=1+free_39 && B>=C && P*free_34>=free_29*free_39 && free_29+free_29*free_39>=1+P*free_34 && free_29>=free_27 && P*free_34>=free_37*free_39 && free_37*free_39+free_37>=1+P*free_34 && free_27>=free_37 && K>=free_32*free_39 && free_32*free_39+free_32>=1+K && free_32>=free_31 && K>=free_26*free_39 && free_26*free_39+free_26>=1+K && free_31>=free_26 && free_36*P*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*P*free_34 && free_35>=free_30 && free_36*P*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*P*free_34 && free_30>=free_38 ], cost: 1 19: f42 -> f60 : K'=-free_47*O+free_42, L'=free_50, O'=free_45, P'=free_41, Q_1'=free_44, S'=P*free_48, T'=free_47*O, [ free_50*K>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*K && free_53>=1 && B>=C && P*free_48>=free_43*free_53 && free_43+free_43*free_53>=1+P*free_48 && free_43>=free_41 && P*free_48>=free_53*free_51 && free_51+free_53*free_51>=1+P*free_48 && free_41>=free_51 && K>=free_46*free_53 && free_46+free_46*free_53>=1+K && free_46>=free_45 && K>=free_40*free_53 && free_40*free_53+free_40>=1+K && free_45>=free_40 && P*free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+P*free_50*free_48 && free_49>=free_44 && P*free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+P*free_50*free_48 && free_44>=free_52 ], 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 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, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D ], cost: 1 6: f15 -> f15 : D'=1+D, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ 0>=1+free_4 && A>=1+D ], cost: 1 7: f15 -> f15 : D'=1+D, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ free_7>=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_8, L'=free_9, [ 29>=J ], cost: 1 12: f28 -> f32 : K'=free_10, L'=free_11, [ J>=31 ], cost: 1 13: f28 -> f32 : J'=30, K'=free_12, L'=free_13, [ J==30 ], cost: 1 14: f32 -> f42 : K'=free_18+free_15-free_17, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ free_14>=free_18*K+free_18*free_16 && free_18+free_18*K+free_18*free_16>=1+free_14 && K>=0 ], cost: 1 15: f32 -> f42 : K'=-free_22+free_23+free_20, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ free_19+free_21*free_23>=K*free_23 && K*free_23+free_23>=1+free_19+free_21*free_23 && 0>=1+K ], cost: 1 16: f42 -> f68 : [ C>=1+B ], cost: 1 17: f42 -> f68 : L'=0, S'=P*free_24, T'=free_25*O, [ B>=C ], cost: 1 18: f42 -> f60 : K'=-free_33*O+free_28, L'=free_36, O'=free_31, P'=free_27, Q_1'=free_30, S'=P*free_34, T'=free_33*O, [ free_36*K>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*K && 0>=1+free_39 && B>=C && P*free_34>=free_29*free_39 && free_29+free_29*free_39>=1+P*free_34 && free_29>=free_27 && P*free_34>=free_37*free_39 && free_37*free_39+free_37>=1+P*free_34 && free_27>=free_37 && K>=free_32*free_39 && free_32*free_39+free_32>=1+K && free_32>=free_31 && K>=free_26*free_39 && free_26*free_39+free_26>=1+K && free_31>=free_26 && free_36*P*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*P*free_34 && free_35>=free_30 && free_36*P*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*P*free_34 && free_30>=free_38 ], cost: 1 19: f42 -> f60 : K'=-free_47*O+free_42, L'=free_50, O'=free_45, P'=free_41, Q_1'=free_44, S'=P*free_48, T'=free_47*O, [ free_50*K>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*K && free_53>=1 && B>=C && P*free_48>=free_43*free_53 && free_43+free_43*free_53>=1+P*free_48 && free_43>=free_41 && P*free_48>=free_53*free_51 && free_51+free_53*free_51>=1+P*free_48 && free_41>=free_51 && K>=free_46*free_53 && free_46+free_46*free_53>=1+K && free_46>=free_45 && K>=free_40*free_53 && free_40*free_53+free_40>=1+K && free_45>=free_40 && P*free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+P*free_50*free_48 && free_49>=free_44 && P*free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+P*free_50*free_48 && free_44>=free_52 ], 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, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D ], cost: 1 6: f15 -> f15 : D'=1+D, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ 0>=1+free_4 && A>=1+D ], cost: 1 7: f15 -> f15 : D'=1+D, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ free_7>=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_8, L'=free_9, [ 29>=J ], cost: 1 12: f28 -> f32 : K'=free_10, L'=free_11, [ J>=31 ], cost: 1 13: f28 -> f32 : J'=30, K'=free_12, L'=free_13, [ J==30 ], cost: 1 14: f32 -> f42 : K'=free_18+free_15-free_17, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ K>=0 && free_18*K+free_18*free_16<=-1+free_18+free_18*K+free_18*free_16 ], cost: 1 15: f32 -> f42 : K'=-free_22+free_23+free_20, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ 0>=1+K && K*free_23-free_21*free_23<=-1+K*free_23+free_23-free_21*free_23 ], cost: 1 16: f42 -> f68 : [ C>=1+B ], cost: 1 17: f42 -> f68 : L'=0, S'=P*free_24, T'=free_25*O, [ B>=C ], cost: 1 18: f42 -> f60 : K'=-free_33*O+free_28, L'=free_36, O'=free_31, P'=free_27, Q_1'=free_30, S'=P*free_34, T'=free_33*O, [ free_36*K>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*K && 0>=1+free_39 && B>=C && P*free_34>=free_29*free_39 && free_29+free_29*free_39>=1+P*free_34 && free_29>=free_27 && P*free_34>=free_37*free_39 && free_37*free_39+free_37>=1+P*free_34 && free_27>=free_37 && K>=free_32*free_39 && free_32*free_39+free_32>=1+K && free_32>=free_31 && K>=free_26*free_39 && free_26*free_39+free_26>=1+K && free_31>=free_26 && free_36*P*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*P*free_34 && free_35>=free_30 && free_36*P*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*P*free_34 && free_30>=free_38 ], cost: 1 19: f42 -> f60 : K'=-free_47*O+free_42, L'=free_50, O'=free_45, P'=free_41, Q_1'=free_44, S'=P*free_48, T'=free_47*O, [ free_50*K>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*K && free_53>=1 && B>=C && P*free_48>=free_43*free_53 && free_43+free_43*free_53>=1+P*free_48 && free_43>=free_41 && P*free_48>=free_53*free_51 && free_51+free_53*free_51>=1+P*free_48 && free_41>=free_51 && K>=free_46*free_53 && free_46+free_46*free_53>=1+K && free_46>=free_45 && K>=free_40*free_53 && free_40*free_53+free_40>=1+K && free_45>=free_40 && P*free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+P*free_50*free_48 && free_49>=free_44 && P*free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+P*free_50*free_48 && free_44>=free_52 ], 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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ 0>=1+free_4 && A>=1+D ], cost: 1 7: f15 -> f15 : D'=1+D, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ free_7>=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+A-U, 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, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D ], cost: 1 31: f15 -> f15 : D'=A, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ 0>=1+free_4 && A>=1+D ], cost: -D+A 32: f15 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ free_7>=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_8, L'=free_9, [ 29>=J ], cost: 1 12: f28 -> f32 : K'=free_10, L'=free_11, [ J>=31 ], cost: 1 13: f28 -> f32 : J'=30, K'=free_12, L'=free_13, [ J==30 ], cost: 1 14: f32 -> f42 : K'=free_18+free_15-free_17, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ K>=0 && free_18*K+free_18*free_16<=-1+free_18+free_18*K+free_18*free_16 ], cost: 1 15: f32 -> f42 : K'=-free_22+free_23+free_20, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ 0>=1+K && K*free_23-free_21*free_23<=-1+K*free_23+free_23-free_21*free_23 ], cost: 1 16: f42 -> f68 : [ C>=1+B ], cost: 1 17: f42 -> f68 : L'=0, S'=P*free_24, T'=free_25*O, [ B>=C ], cost: 1 18: f42 -> f60 : K'=-free_33*O+free_28, L'=free_36, O'=free_31, P'=free_27, Q_1'=free_30, S'=P*free_34, T'=free_33*O, [ free_36*K>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*K && 0>=1+free_39 && B>=C && P*free_34>=free_29*free_39 && free_29+free_29*free_39>=1+P*free_34 && free_29>=free_27 && P*free_34>=free_37*free_39 && free_37*free_39+free_37>=1+P*free_34 && free_27>=free_37 && K>=free_32*free_39 && free_32*free_39+free_32>=1+K && free_32>=free_31 && K>=free_26*free_39 && free_26*free_39+free_26>=1+K && free_31>=free_26 && free_36*P*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*P*free_34 && free_35>=free_30 && free_36*P*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*P*free_34 && free_30>=free_38 ], cost: 1 19: f42 -> f60 : K'=-free_47*O+free_42, L'=free_50, O'=free_45, P'=free_41, Q_1'=free_44, S'=P*free_48, T'=free_47*O, [ free_50*K>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*K && free_53>=1 && B>=C && P*free_48>=free_43*free_53 && free_43+free_43*free_53>=1+P*free_48 && free_43>=free_41 && P*free_48>=free_53*free_51 && free_51+free_53*free_51>=1+P*free_48 && free_41>=free_51 && K>=free_46*free_53 && free_46+free_46*free_53>=1+K && free_46>=free_45 && K>=free_40*free_53 && free_40*free_53+free_40>=1+K && free_45>=free_40 && P*free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+P*free_50*free_48 && free_49>=free_44 && P*free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+P*free_50*free_48 && free_44>=free_52 ], 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+A-U 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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ C>=1+D && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ D>=1+C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ C>=1+D && free_7>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ D>=1+C && free_7>=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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ A>=C && free_7>=1 && A>=1+D ], cost: 1-D+A 4: f15 -> f24 : [ D>=A ], cost: 1 5: f15 -> f24 : F'=free, G'=free_1, H'=free_1+free, 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_8, L'=free_9, [ 29>=J ], cost: 1 12: f28 -> f32 : K'=free_10, L'=free_11, [ J>=31 ], cost: 1 13: f28 -> f32 : J'=30, K'=free_12, L'=free_13, [ J==30 ], cost: 1 14: f32 -> f42 : K'=free_18+free_15-free_17, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ K>=0 && free_18*K+free_18*free_16<=-1+free_18+free_18*K+free_18*free_16 ], cost: 1 15: f32 -> f42 : K'=-free_22+free_23+free_20, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ 0>=1+K && K*free_23-free_21*free_23<=-1+K*free_23+free_23-free_21*free_23 ], cost: 1 16: f42 -> f68 : [ C>=1+B ], cost: 1 17: f42 -> f68 : L'=0, S'=P*free_24, T'=free_25*O, [ B>=C ], cost: 1 18: f42 -> f60 : K'=-free_33*O+free_28, L'=free_36, O'=free_31, P'=free_27, Q_1'=free_30, S'=P*free_34, T'=free_33*O, [ free_36*K>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*K && 0>=1+free_39 && B>=C && P*free_34>=free_29*free_39 && free_29+free_29*free_39>=1+P*free_34 && free_29>=free_27 && P*free_34>=free_37*free_39 && free_37*free_39+free_37>=1+P*free_34 && free_27>=free_37 && K>=free_32*free_39 && free_32*free_39+free_32>=1+K && free_32>=free_31 && K>=free_26*free_39 && free_26*free_39+free_26>=1+K && free_31>=free_26 && free_36*P*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*P*free_34 && free_35>=free_30 && free_36*P*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*P*free_34 && free_30>=free_38 ], cost: 1 19: f42 -> f60 : K'=-free_47*O+free_42, L'=free_50, O'=free_45, P'=free_41, Q_1'=free_44, S'=P*free_48, T'=free_47*O, [ free_50*K>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*K && free_53>=1 && B>=C && P*free_48>=free_43*free_53 && free_43+free_43*free_53>=1+P*free_48 && free_43>=free_41 && P*free_48>=free_53*free_51 && free_51+free_53*free_51>=1+P*free_48 && free_41>=free_51 && K>=free_46*free_53 && free_46+free_46*free_53>=1+K && free_46>=free_45 && K>=free_40*free_53 && free_40*free_53+free_40>=1+K && free_45>=free_40 && P*free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+P*free_50*free_48 && free_49>=free_44 && P*free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+P*free_50*free_48 && free_44>=free_52 ], cost: 1 41: f42 -> f60 : K'=-free_33*O+free_28, L'=free_36, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33*O, U'=1+A, [ free_36*K>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*K && 0>=1+free_39 && B>=C && P*free_34>=free_29*free_39 && free_29+free_29*free_39>=1+P*free_34 && free_29>=free_27 && P*free_34>=free_37*free_39 && free_37*free_39+free_37>=1+P*free_34 && free_27>=free_37 && K>=free_32*free_39 && free_32*free_39+free_32>=1+K && free_32>=free_31 && K>=free_26*free_39 && free_26*free_39+free_26>=1+K && free_31>=free_26 && free_36*P*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*P*free_34 && free_35>=free_30 && free_36*P*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*P*free_34 && free_30>=free_38 && A>=U ], cost: 2+A-U 42: f42 -> f60 : K'=-free_47*O+free_42, L'=free_50, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_54, T'=free_47*O, U'=1+A, [ free_50*K>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*K && free_53>=1 && B>=C && P*free_48>=free_43*free_53 && free_43+free_43*free_53>=1+P*free_48 && free_43>=free_41 && P*free_48>=free_53*free_51 && free_51+free_53*free_51>=1+P*free_48 && free_41>=free_51 && K>=free_46*free_53 && free_46+free_46*free_53>=1+K && free_46>=free_45 && K>=free_40*free_53 && free_40*free_53+free_40>=1+K && free_45>=free_40 && P*free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+P*free_50*free_48 && free_49>=free_44 && P*free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+P*free_50*free_48 && free_44>=free_52 && A>=U ], cost: 2+A-U 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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ C>=1+D && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ D>=1+C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ C>=1+D && free_7>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ D>=1+C && free_7>=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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ A>=C && free_7>=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, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D && C==D ], cost: 2 49: f15 -> f28 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, [ A>=1+D && C>=1+D ], cost: 2 50: f15 -> f28 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, [ A>=1+D && D>=1+C ], cost: 2 51: f28 -> f42 : K'=free_18+free_15-free_17, L'=free_9, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ 29>=J && free_8>=0 && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 ], cost: 2 52: f28 -> f42 : K'=-free_22+free_23+free_20, L'=free_9, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ 29>=J && 0>=1+free_8 && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 ], cost: 2 53: f28 -> f42 : K'=free_18+free_15-free_17, L'=free_11, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ J>=31 && free_10>=0 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 ], cost: 2 54: f28 -> f42 : K'=-free_22+free_23+free_20, L'=free_11, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ J>=31 && 0>=1+free_10 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 ], cost: 2 55: f28 -> f42 : J'=30, K'=free_18+free_15-free_17, L'=free_13, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ J==30 && free_12>=0 && free_18*free_12+free_18*free_16<=-1+free_18+free_18*free_12+free_18*free_16 ], cost: 2 56: f28 -> f42 : J'=30, K'=-free_22+free_23+free_20, L'=free_13, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ J==30 && 0>=1+free_12 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 ], cost: 2 57: f42 -> f42 : B'=-1+B, K'=-free_33*O+free_28, L'=free_36, O'=free_31, P'=free_27, Q_1'=free_30, S'=P*free_34, T'=free_33*O, [ free_36*K>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*K && 0>=1+free_39 && B>=C && P*free_34>=free_29*free_39 && free_29+free_29*free_39>=1+P*free_34 && free_29>=free_27 && P*free_34>=free_37*free_39 && free_37*free_39+free_37>=1+P*free_34 && free_27>=free_37 && K>=free_32*free_39 && free_32*free_39+free_32>=1+K && free_32>=free_31 && K>=free_26*free_39 && free_26*free_39+free_26>=1+K && free_31>=free_26 && free_36*P*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*P*free_34 && free_35>=free_30 && free_36*P*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*P*free_34 && free_30>=free_38 && U>=1+A ], cost: 2 58: f42 -> f42 : B'=-1+B, K'=-free_47*O+free_42, L'=free_50, O'=free_45, P'=free_41, Q_1'=free_44, S'=P*free_48, T'=free_47*O, [ free_50*K>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*K && free_53>=1 && B>=C && P*free_48>=free_43*free_53 && free_43+free_43*free_53>=1+P*free_48 && free_43>=free_41 && P*free_48>=free_53*free_51 && free_51+free_53*free_51>=1+P*free_48 && free_41>=free_51 && K>=free_46*free_53 && free_46+free_46*free_53>=1+K && free_46>=free_45 && K>=free_40*free_53 && free_40*free_53+free_40>=1+K && free_45>=free_40 && P*free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+P*free_50*free_48 && free_49>=free_44 && P*free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+P*free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 2 59: f42 -> f42 : B'=-1+B, K'=-free_33*O+free_28, L'=free_36, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33*O, U'=1+A, [ free_36*K>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*K && 0>=1+free_39 && B>=C && P*free_34>=free_29*free_39 && free_29+free_29*free_39>=1+P*free_34 && free_29>=free_27 && P*free_34>=free_37*free_39 && free_37*free_39+free_37>=1+P*free_34 && free_27>=free_37 && K>=free_32*free_39 && free_32*free_39+free_32>=1+K && free_32>=free_31 && K>=free_26*free_39 && free_26*free_39+free_26>=1+K && free_31>=free_26 && free_36*P*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*P*free_34 && free_35>=free_30 && free_36*P*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*P*free_34 && free_30>=free_38 && A>=U ], cost: 3+A-U 60: f42 -> f42 : B'=-1+B, K'=-free_47*O+free_42, L'=free_50, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_54, T'=free_47*O, U'=1+A, [ free_50*K>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*K && free_53>=1 && B>=C && P*free_48>=free_43*free_53 && free_43+free_43*free_53>=1+P*free_48 && free_43>=free_41 && P*free_48>=free_53*free_51 && free_51+free_53*free_51>=1+P*free_48 && free_41>=free_51 && K>=free_46*free_53 && free_46+free_46*free_53>=1+K && free_46>=free_45 && K>=free_40*free_53 && free_40*free_53+free_40>=1+K && free_45>=free_40 && P*free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+P*free_50*free_48 && free_49>=free_44 && P*free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+P*free_50*free_48 && free_44>=free_52 && A>=U ], cost: 3+A-U 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'=P*free_24, T'=free_25*O, [ 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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ C>=1+D && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ D>=1+C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ C>=1+D && free_7>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ D>=1+C && free_7>=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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ A>=C && free_7>=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, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D && C==D ], cost: 2 49: f15 -> f28 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, [ A>=1+D && C>=1+D ], cost: 2 50: f15 -> f28 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, [ A>=1+D && D>=1+C ], cost: 2 51: f28 -> f42 : K'=free_18+free_15-free_17, L'=free_9, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ 29>=J && free_8>=0 && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 ], cost: 2 52: f28 -> f42 : K'=-free_22+free_23+free_20, L'=free_9, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ 29>=J && 0>=1+free_8 && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 ], cost: 2 53: f28 -> f42 : K'=free_18+free_15-free_17, L'=free_11, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ J>=31 && free_10>=0 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 ], cost: 2 54: f28 -> f42 : K'=-free_22+free_23+free_20, L'=free_11, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ J>=31 && 0>=1+free_10 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 ], cost: 2 56: f28 -> f42 : J'=30, K'=-free_22+free_23+free_20, L'=free_13, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ J==30 && 0>=1+free_12 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 ], cost: 2 57: f42 -> f42 : B'=-1+B, K'=-free_33*O+free_28, L'=free_36, O'=free_31, P'=free_27, Q_1'=free_30, S'=P*free_34, T'=free_33*O, [ free_36*K>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*K && 0>=1+free_39 && B>=C && P*free_34>=free_29*free_39 && free_29+free_29*free_39>=1+P*free_34 && free_29>=free_27 && P*free_34>=free_37*free_39 && free_37*free_39+free_37>=1+P*free_34 && free_27>=free_37 && K>=free_32*free_39 && free_32*free_39+free_32>=1+K && free_32>=free_31 && K>=free_26*free_39 && free_26*free_39+free_26>=1+K && free_31>=free_26 && free_36*P*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*P*free_34 && free_35>=free_30 && free_36*P*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*P*free_34 && free_30>=free_38 && U>=1+A ], cost: 2 58: f42 -> f42 : B'=-1+B, K'=-free_47*O+free_42, L'=free_50, O'=free_45, P'=free_41, Q_1'=free_44, S'=P*free_48, T'=free_47*O, [ free_50*K>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*K && free_53>=1 && B>=C && P*free_48>=free_43*free_53 && free_43+free_43*free_53>=1+P*free_48 && free_43>=free_41 && P*free_48>=free_53*free_51 && free_51+free_53*free_51>=1+P*free_48 && free_41>=free_51 && K>=free_46*free_53 && free_46+free_46*free_53>=1+K && free_46>=free_45 && K>=free_40*free_53 && free_40*free_53+free_40>=1+K && free_45>=free_40 && P*free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+P*free_50*free_48 && free_49>=free_44 && P*free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+P*free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 2 59: f42 -> f42 : B'=-1+B, K'=-free_33*O+free_28, L'=free_36, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33*O, U'=1+A, [ free_36*K>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*K && 0>=1+free_39 && B>=C && P*free_34>=free_29*free_39 && free_29+free_29*free_39>=1+P*free_34 && free_29>=free_27 && P*free_34>=free_37*free_39 && free_37*free_39+free_37>=1+P*free_34 && free_27>=free_37 && K>=free_32*free_39 && free_32*free_39+free_32>=1+K && free_32>=free_31 && K>=free_26*free_39 && free_26*free_39+free_26>=1+K && free_31>=free_26 && free_36*P*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*P*free_34 && free_35>=free_30 && free_36*P*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*P*free_34 && free_30>=free_38 && A>=U ], cost: 3+A-U 60: f42 -> f42 : B'=-1+B, K'=-free_47*O+free_42, L'=free_50, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_54, T'=free_47*O, U'=1+A, [ free_50*K>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*K && free_53>=1 && B>=C && P*free_48>=free_43*free_53 && free_43+free_43*free_53>=1+P*free_48 && free_43>=free_41 && P*free_48>=free_53*free_51 && free_51+free_53*free_51>=1+P*free_48 && free_41>=free_51 && K>=free_46*free_53 && free_46+free_46*free_53>=1+K && free_46>=free_45 && K>=free_40*free_53 && free_40*free_53+free_40>=1+K && free_45>=free_40 && P*free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+P*free_50*free_48 && free_49>=free_44 && P*free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+P*free_50*free_48 && free_44>=free_52 && A>=U ], cost: 3+A-U 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'=P*free_24, T'=free_25*O, [ 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_33*O+free_28, L'=free_36, O'=free_31, P'=free_27, Q_1'=free_30, S'=P*free_34, T'=free_33*O, [ free_36*K>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*K && 0>=1+free_39 && B>=C && P*free_34>=free_29*free_39 && free_29+free_29*free_39>=1+P*free_34 && free_29>=free_27 && P*free_34>=free_37*free_39 && free_37*free_39+free_37>=1+P*free_34 && free_27>=free_37 && K>=free_32*free_39 && free_32*free_39+free_32>=1+K && free_32>=free_31 && K>=free_26*free_39 && free_26*free_39+free_26>=1+K && free_31>=free_26 && free_36*P*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*P*free_34 && free_35>=free_30 && free_36*P*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*P*free_34 && free_30>=free_38 && U>=1+A ], cost: 2 58: f42 -> f42 : B'=-1+B, K'=-free_47*O+free_42, L'=free_50, O'=free_45, P'=free_41, Q_1'=free_44, S'=P*free_48, T'=free_47*O, [ free_50*K>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*K && free_53>=1 && B>=C && P*free_48>=free_43*free_53 && free_43+free_43*free_53>=1+P*free_48 && free_43>=free_41 && P*free_48>=free_53*free_51 && free_51+free_53*free_51>=1+P*free_48 && free_41>=free_51 && K>=free_46*free_53 && free_46+free_46*free_53>=1+K && free_46>=free_45 && K>=free_40*free_53 && free_40*free_53+free_40>=1+K && free_45>=free_40 && P*free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+P*free_50*free_48 && free_49>=free_44 && P*free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+P*free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 2 59: f42 -> f42 : B'=-1+B, K'=-free_33*O+free_28, L'=free_36, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33*O, U'=1+A, [ free_36*K>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*K && 0>=1+free_39 && B>=C && P*free_34>=free_29*free_39 && free_29+free_29*free_39>=1+P*free_34 && free_29>=free_27 && P*free_34>=free_37*free_39 && free_37*free_39+free_37>=1+P*free_34 && free_27>=free_37 && K>=free_32*free_39 && free_32*free_39+free_32>=1+K && free_32>=free_31 && K>=free_26*free_39 && free_26*free_39+free_26>=1+K && free_31>=free_26 && free_36*P*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*P*free_34 && free_35>=free_30 && free_36*P*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*P*free_34 && free_30>=free_38 && A>=U ], cost: 3+A-U 60: f42 -> f42 : B'=-1+B, K'=-free_47*O+free_42, L'=free_50, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_54, T'=free_47*O, U'=1+A, [ free_50*K>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*K && free_53>=1 && B>=C && P*free_48>=free_43*free_53 && free_43+free_43*free_53>=1+P*free_48 && free_43>=free_41 && P*free_48>=free_53*free_51 && free_51+free_53*free_51>=1+P*free_48 && free_41>=free_51 && K>=free_46*free_53 && free_46+free_46*free_53>=1+K && free_46>=free_45 && K>=free_40*free_53 && free_40*free_53+free_40>=1+K && free_45>=free_40 && P*free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+P*free_50*free_48 && free_49>=free_44 && P*free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+P*free_50*free_48 && free_44>=free_52 && A>=U ], cost: 3+A-U 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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ C>=1+D && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ D>=1+C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ C>=1+D && free_7>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ D>=1+C && free_7>=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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ A>=C && free_7>=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, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D && C==D ], cost: 2 49: f15 -> f28 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, [ A>=1+D && C>=1+D ], cost: 2 50: f15 -> f28 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, [ A>=1+D && D>=1+C ], cost: 2 51: f28 -> f42 : K'=free_18+free_15-free_17, L'=free_9, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ 29>=J && free_8>=0 && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 ], cost: 2 52: f28 -> f42 : K'=-free_22+free_23+free_20, L'=free_9, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ 29>=J && 0>=1+free_8 && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 ], cost: 2 53: f28 -> f42 : K'=free_18+free_15-free_17, L'=free_11, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ J>=31 && free_10>=0 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 ], cost: 2 54: f28 -> f42 : K'=-free_22+free_23+free_20, L'=free_11, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ J>=31 && 0>=1+free_10 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 ], cost: 2 56: f28 -> f42 : J'=30, K'=-free_22+free_23+free_20, L'=free_13, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ J==30 && 0>=1+free_12 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 ], cost: 2 57: f42 -> f42 : B'=-1+B, K'=-free_33*O+free_28, L'=free_36, O'=free_31, P'=free_27, Q_1'=free_30, S'=P*free_34, T'=free_33*O, [ free_36*K>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*K && 0>=1+free_39 && B>=C && P*free_34>=free_29*free_39 && free_29+free_29*free_39>=1+P*free_34 && free_29>=free_27 && P*free_34>=free_37*free_39 && free_37*free_39+free_37>=1+P*free_34 && free_27>=free_37 && K>=free_32*free_39 && free_32*free_39+free_32>=1+K && free_32>=free_31 && K>=free_26*free_39 && free_26*free_39+free_26>=1+K && free_31>=free_26 && free_36*P*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*P*free_34 && free_35>=free_30 && free_36*P*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*P*free_34 && free_30>=free_38 && U>=1+A ], cost: 2 58: f42 -> f42 : B'=-1+B, K'=-free_47*O+free_42, L'=free_50, O'=free_45, P'=free_41, Q_1'=free_44, S'=P*free_48, T'=free_47*O, [ free_50*K>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*K && free_53>=1 && B>=C && P*free_48>=free_43*free_53 && free_43+free_43*free_53>=1+P*free_48 && free_43>=free_41 && P*free_48>=free_53*free_51 && free_51+free_53*free_51>=1+P*free_48 && free_41>=free_51 && K>=free_46*free_53 && free_46+free_46*free_53>=1+K && free_46>=free_45 && K>=free_40*free_53 && free_40*free_53+free_40>=1+K && free_45>=free_40 && P*free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+P*free_50*free_48 && free_49>=free_44 && P*free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+P*free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 2 59: f42 -> f42 : B'=-1+B, K'=-free_33*O+free_28, L'=free_36, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33*O, U'=1+A, [ free_36*K>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*K && 0>=1+free_39 && B>=C && P*free_34>=free_29*free_39 && free_29+free_29*free_39>=1+P*free_34 && free_29>=free_27 && P*free_34>=free_37*free_39 && free_37*free_39+free_37>=1+P*free_34 && free_27>=free_37 && K>=free_32*free_39 && free_32*free_39+free_32>=1+K && free_32>=free_31 && K>=free_26*free_39 && free_26*free_39+free_26>=1+K && free_31>=free_26 && free_36*P*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*P*free_34 && free_35>=free_30 && free_36*P*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*P*free_34 && free_30>=free_38 && A>=U ], cost: 3+A-U 60: f42 -> f42 : B'=-1+B, K'=-free_47*O+free_42, L'=free_50, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_54, T'=free_47*O, U'=1+A, [ free_50*K>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*K && free_53>=1 && B>=C && P*free_48>=free_43*free_53 && free_43+free_43*free_53>=1+P*free_48 && free_43>=free_41 && P*free_48>=free_53*free_51 && free_51+free_53*free_51>=1+P*free_48 && free_41>=free_51 && K>=free_46*free_53 && free_46+free_46*free_53>=1+K && free_46>=free_45 && K>=free_40*free_53 && free_40*free_53+free_40>=1+K && free_45>=free_40 && P*free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+P*free_50*free_48 && free_49>=free_44 && P*free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+P*free_50*free_48 && free_44>=free_52 && A>=U ], cost: 3+A-U 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'=P*free_24, T'=free_25*O, [ 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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ C>=1+D && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ D>=1+C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ C>=1+D && free_7>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ D>=1+C && free_7>=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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ A>=C && free_7>=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, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D && C==D ], cost: 2 49: f15 -> f28 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, [ A>=1+D && C>=1+D ], cost: 2 50: f15 -> f28 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, [ A>=1+D && D>=1+C ], cost: 2 51: f28 -> f42 : K'=free_18+free_15-free_17, L'=free_9, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ 29>=J && free_8>=0 && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 ], cost: 2 52: f28 -> f42 : K'=-free_22+free_23+free_20, L'=free_9, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ 29>=J && 0>=1+free_8 && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 ], cost: 2 53: f28 -> f42 : K'=free_18+free_15-free_17, L'=free_11, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ J>=31 && free_10>=0 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 ], cost: 2 54: f28 -> f42 : K'=-free_22+free_23+free_20, L'=free_11, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ J>=31 && 0>=1+free_10 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 ], cost: 2 56: f28 -> f42 : J'=30, K'=-free_22+free_23+free_20, L'=free_13, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ J==30 && 0>=1+free_12 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 ], cost: 2 65: f28 -> f42 : B'=-1+B, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_34, T'=free_33, [ 29>=J && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 4 66: f28 -> f42 : B'=-1+B, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_34, T'=free_33, [ 29>=J && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 4 67: f28 -> f42 : B'=-1+B, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_34, T'=free_33, [ J>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 4 68: f28 -> f42 : B'=-1+B, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_34, T'=free_33, [ J>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 4 69: f28 -> f42 : B'=-1+B, J'=30, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_34, T'=free_33, [ J==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 4 70: f28 -> f42 : B'=-1+B, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_48, T'=free_47, [ 29>=J && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 4 71: f28 -> f42 : B'=-1+B, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_48, T'=free_47, [ 29>=J && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 4 72: f28 -> f42 : B'=-1+B, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_48, T'=free_47, [ J>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 4 73: f28 -> f42 : B'=-1+B, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_48, T'=free_47, [ J>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 4 74: f28 -> f42 : B'=-1+B, J'=30, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_48, T'=free_47, [ J==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 4 75: f28 -> f42 : B'=-1+B, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33, U'=1+A, [ 29>=J && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 5+A-U 76: f28 -> f42 : B'=-1+B, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_54, T'=free_33, U'=1+A, [ 29>=J && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 5+A-U 77: f28 -> f42 : B'=-1+B, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33, U'=1+A, [ J>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 5+A-U 78: f28 -> f42 : B'=-1+B, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_54, T'=free_33, U'=1+A, [ J>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 5+A-U 79: f28 -> f42 : B'=-1+B, J'=30, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_54, T'=free_33, U'=1+A, [ J==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 5+A-U 80: f28 -> f42 : B'=-1+B, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_54, T'=free_47, U'=1+A, [ 29>=J && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 5+A-U 81: f28 -> f42 : B'=-1+B, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_54, T'=free_47, U'=1+A, [ 29>=J && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 5+A-U 82: f28 -> f42 : B'=-1+B, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_54, T'=free_47, U'=1+A, [ J>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 5+A-U 83: f28 -> f42 : B'=-1+B, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_54, T'=free_47, U'=1+A, [ J>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 5+A-U 84: f28 -> f42 : B'=-1+B, J'=30, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_54, T'=free_47, U'=1+A, [ J==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 5+A-U 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'=P*free_24, T'=free_25*O, [ 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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ C>=1+D && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ D>=1+C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ C>=1+D && free_7>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ D>=1+C && free_7>=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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ A>=C && free_7>=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, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D && C==D ], cost: 2 85: f15 -> f42 : E'=1+E, J'=E, K'=free_18+free_15-free_17, L'=free_9, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ D>=A && C>=1+D && 29>=E && free_8>=0 && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 ], cost: 4 86: f15 -> f42 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_9, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && 29>=E && 0>=1+free_8 && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 ], cost: 4 87: f15 -> f42 : E'=1+E, J'=E, K'=free_18+free_15-free_17, L'=free_11, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ D>=A && C>=1+D && E>=31 && free_10>=0 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 ], cost: 4 88: f15 -> f42 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_11, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && E>=31 && 0>=1+free_10 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 ], cost: 4 89: f15 -> f42 : E'=1+E, J'=30, K'=-free_22+free_23+free_20, L'=free_13, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && E==30 && 0>=1+free_12 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 ], cost: 4 90: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_34, T'=free_33, [ D>=A && C>=1+D && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 91: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_34, T'=free_33, [ D>=A && C>=1+D && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 92: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_34, T'=free_33, [ D>=A && C>=1+D && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 93: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_34, T'=free_33, [ D>=A && C>=1+D && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 94: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_34, T'=free_33, [ D>=A && C>=1+D && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 95: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_48, T'=free_47, [ D>=A && C>=1+D && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 96: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_48, T'=free_47, [ D>=A && C>=1+D && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 97: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_48, T'=free_47, [ D>=A && C>=1+D && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 98: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_48, T'=free_47, [ D>=A && C>=1+D && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 99: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_48, T'=free_47, [ D>=A && C>=1+D && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 100: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33, U'=1+A, [ D>=A && C>=1+D && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 101: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_54, T'=free_33, U'=1+A, [ D>=A && C>=1+D && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 102: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33, U'=1+A, [ D>=A && C>=1+D && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 103: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_54, T'=free_33, U'=1+A, [ D>=A && C>=1+D && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 104: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_54, T'=free_33, U'=1+A, [ D>=A && C>=1+D && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 105: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_54, T'=free_47, U'=1+A, [ D>=A && C>=1+D && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 106: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_54, T'=free_47, U'=1+A, [ D>=A && C>=1+D && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 107: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_54, T'=free_47, U'=1+A, [ D>=A && C>=1+D && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 108: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_54, T'=free_47, U'=1+A, [ D>=A && C>=1+D && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 109: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_54, T'=free_47, U'=1+A, [ D>=A && C>=1+D && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 110: f15 -> f42 : E'=1+E, J'=E, K'=free_18+free_15-free_17, L'=free_9, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ D>=A && D>=1+C && 29>=E && free_8>=0 && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 ], cost: 4 111: f15 -> f42 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_9, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && D>=1+C && 29>=E && 0>=1+free_8 && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 ], cost: 4 112: f15 -> f42 : E'=1+E, J'=E, K'=free_18+free_15-free_17, L'=free_11, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ D>=A && D>=1+C && E>=31 && free_10>=0 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 ], cost: 4 113: f15 -> f42 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_11, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && D>=1+C && E>=31 && 0>=1+free_10 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 ], cost: 4 114: f15 -> f42 : E'=1+E, J'=30, K'=-free_22+free_23+free_20, L'=free_13, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && D>=1+C && E==30 && 0>=1+free_12 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 ], cost: 4 115: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_34, T'=free_33, [ D>=A && D>=1+C && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 116: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_34, T'=free_33, [ D>=A && D>=1+C && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 117: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_34, T'=free_33, [ D>=A && D>=1+C && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 118: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_34, T'=free_33, [ D>=A && D>=1+C && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 119: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_34, T'=free_33, [ D>=A && D>=1+C && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 120: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_48, T'=free_47, [ D>=A && D>=1+C && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 121: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_48, T'=free_47, [ D>=A && D>=1+C && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 122: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_48, T'=free_47, [ D>=A && D>=1+C && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 123: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_48, T'=free_47, [ D>=A && D>=1+C && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 124: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_48, T'=free_47, [ D>=A && D>=1+C && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 125: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33, U'=1+A, [ D>=A && D>=1+C && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 126: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_54, T'=free_33, U'=1+A, [ D>=A && D>=1+C && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 127: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33, U'=1+A, [ D>=A && D>=1+C && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 128: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_54, T'=free_33, U'=1+A, [ D>=A && D>=1+C && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 129: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_54, T'=free_33, U'=1+A, [ D>=A && D>=1+C && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 130: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_54, T'=free_47, U'=1+A, [ D>=A && D>=1+C && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 131: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_54, T'=free_47, U'=1+A, [ D>=A && D>=1+C && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 132: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_54, T'=free_47, U'=1+A, [ D>=A && D>=1+C && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 133: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_54, T'=free_47, U'=1+A, [ D>=A && D>=1+C && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 134: f15 -> f42 : B'=-1+B, E'=1+E, J'=30, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_54, T'=free_47, U'=1+A, [ D>=A && D>=1+C && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 135: f15 -> f42 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=free_18+free_15-free_17, L'=free_9, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ A>=1+D && C>=1+D && 29>=E && free_8>=0 && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 ], cost: 4 136: f15 -> f42 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_22+free_23+free_20, L'=free_9, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ A>=1+D && C>=1+D && 29>=E && 0>=1+free_8 && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 ], cost: 4 137: f15 -> f42 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=free_18+free_15-free_17, L'=free_11, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ A>=1+D && C>=1+D && E>=31 && free_10>=0 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 ], cost: 4 138: f15 -> f42 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_22+free_23+free_20, L'=free_11, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ A>=1+D && C>=1+D && E>=31 && 0>=1+free_10 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 ], cost: 4 139: f15 -> f42 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=30, K'=-free_22+free_23+free_20, L'=free_13, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ A>=1+D && C>=1+D && E==30 && 0>=1+free_12 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 ], cost: 4 140: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_34, T'=free_33, [ A>=1+D && C>=1+D && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 141: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_34, T'=free_33, [ A>=1+D && C>=1+D && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 142: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_34, T'=free_33, [ A>=1+D && C>=1+D && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 143: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_34, T'=free_33, [ A>=1+D && C>=1+D && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 144: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=30, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_34, T'=free_33, [ A>=1+D && C>=1+D && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 145: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_48, T'=free_47, [ A>=1+D && C>=1+D && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 146: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_48, T'=free_47, [ A>=1+D && C>=1+D && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 147: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_48, T'=free_47, [ A>=1+D && C>=1+D && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 148: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_48, T'=free_47, [ A>=1+D && C>=1+D && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 149: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=30, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_48, T'=free_47, [ A>=1+D && C>=1+D && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 150: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 151: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_54, T'=free_33, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 152: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33, U'=1+A, [ A>=1+D && C>=1+D && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 153: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_54, T'=free_33, U'=1+A, [ A>=1+D && C>=1+D && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 154: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=30, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_54, T'=free_33, U'=1+A, [ A>=1+D && C>=1+D && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 155: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_54, T'=free_47, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 156: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_54, T'=free_47, U'=1+A, [ A>=1+D && C>=1+D && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 157: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_54, T'=free_47, U'=1+A, [ A>=1+D && C>=1+D && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 158: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_54, T'=free_47, U'=1+A, [ A>=1+D && C>=1+D && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 159: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=30, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_54, T'=free_47, U'=1+A, [ A>=1+D && C>=1+D && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 160: f15 -> f42 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=free_18+free_15-free_17, L'=free_9, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ A>=1+D && D>=1+C && 29>=E && free_8>=0 && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 ], cost: 4 161: f15 -> f42 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_22+free_23+free_20, L'=free_9, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ A>=1+D && D>=1+C && 29>=E && 0>=1+free_8 && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 ], cost: 4 162: f15 -> f42 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=free_18+free_15-free_17, L'=free_11, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ A>=1+D && D>=1+C && E>=31 && free_10>=0 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 ], cost: 4 163: f15 -> f42 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_22+free_23+free_20, L'=free_11, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ A>=1+D && D>=1+C && E>=31 && 0>=1+free_10 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 ], cost: 4 164: f15 -> f42 : E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=30, K'=-free_22+free_23+free_20, L'=free_13, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ A>=1+D && D>=1+C && E==30 && 0>=1+free_12 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 ], cost: 4 165: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_34, T'=free_33, [ A>=1+D && D>=1+C && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 166: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_34, T'=free_33, [ A>=1+D && D>=1+C && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 167: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_34, T'=free_33, [ A>=1+D && D>=1+C && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 168: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_34, T'=free_33, [ A>=1+D && D>=1+C && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 169: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=30, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_34, T'=free_33, [ A>=1+D && D>=1+C && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 170: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_48, T'=free_47, [ A>=1+D && D>=1+C && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 171: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_48, T'=free_47, [ A>=1+D && D>=1+C && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 172: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_48, T'=free_47, [ A>=1+D && D>=1+C && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 173: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_48, T'=free_47, [ A>=1+D && D>=1+C && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 174: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=30, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_48, T'=free_47, [ A>=1+D && D>=1+C && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && U>=1+A ], cost: 6 175: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 176: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_54, T'=free_33, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 177: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 178: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_54, T'=free_33, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 179: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=30, K'=-free_33+free_28, L'=free_36, N'=-free_21, O'=free_31, P'=free_27, Q_1'=free_30, R'=free_21, S'=free_54, T'=free_33, U'=1+A, [ A>=1+D && D>=1+C && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_36>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1-(free_22-free_23-free_20)*free_36 && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && -free_22+free_23+free_20>=free_32*free_39 && free_32*free_39+free_32>=1-free_22+free_23+free_20 && free_32>=free_31 && -free_22+free_23+free_20>=free_26*free_39 && free_26*free_39+free_26>=1-free_22+free_23+free_20 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 180: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_54, T'=free_47, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 181: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_54, T'=free_47, U'=1+A, [ A>=1+D && D>=1+C && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 182: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, M'=free_16, N'=free_16, O'=free_45, P'=free_41, Q_1'=free_44, S'=free_54, T'=free_47, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_50*(free_18+free_15-free_17)>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1+free_50*(free_18+free_15-free_17) && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && free_18+free_15-free_17>=free_46*free_53 && free_46+free_46*free_53>=1+free_18+free_15-free_17 && free_46>=free_45 && free_18+free_15-free_17>=free_40*free_53 && free_40*free_53+free_40>=1+free_18+free_15-free_17 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 183: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=E, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_54, T'=free_47, U'=1+A, [ A>=1+D && D>=1+C && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 184: f15 -> f42 : B'=-1+B, E'=1+E, F'=free, G'=free_1, H'=free_1+free, Q'=0, J'=30, K'=-free_47+free_42, L'=free_50, N'=-free_21, O'=free_45, P'=free_41, Q_1'=free_44, R'=free_21, S'=free_54, T'=free_47, U'=1+A, [ A>=1+D && D>=1+C && E==30 && free_12*free_23-free_21*free_23<=-1+free_12*free_23+free_23-free_21*free_23 && -(free_22-free_23-free_20)*free_50>=free_53*free_50*free_42 && free_53*free_50*free_42+free_42>=1-(free_22-free_23-free_20)*free_50 && free_53>=1 && B>=C && free_48>=free_43*free_53 && free_43+free_43*free_53>=1+free_48 && free_43>=free_41 && free_48>=free_53*free_51 && free_51+free_53*free_51>=1+free_48 && free_41>=free_51 && -free_22+free_23+free_20>=free_46*free_53 && free_46+free_46*free_53>=1-free_22+free_23+free_20 && free_46>=free_45 && -free_22+free_23+free_20>=free_40*free_53 && free_40*free_53+free_40>=1-free_22+free_23+free_20 && free_45>=free_40 && free_50*free_48>=free_49*free_53*free_50 && free_49+free_49*free_53*free_50>=1+free_50*free_48 && free_49>=free_44 && free_50*free_48>=free_52*free_53*free_50 && free_52+free_52*free_53*free_50>=1+free_50*free_48 && free_44>=free_52 && A>=U ], cost: 7+A-U 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'=P*free_24, T'=free_25*O, [ 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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ C>=1+D && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ D>=1+C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ C>=1+D && free_7>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ D>=1+C && free_7>=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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ A>=C && free_7>=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, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D && C==D ], cost: 2 85: f15 -> f42 : E'=1+E, J'=E, K'=free_18+free_15-free_17, L'=free_9, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ D>=A && C>=1+D && 29>=E && free_8>=0 && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 ], cost: 4 86: f15 -> f42 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_9, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && 29>=E && 0>=1+free_8 && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 ], cost: 4 88: f15 -> f42 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_11, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && E>=31 && 0>=1+free_10 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 ], cost: 4 92: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_34, T'=free_33, [ D>=A && C>=1+D && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A ], cost: 6 100: f15 -> f42 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33, U'=1+A, [ D>=A && C>=1+D && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U ], cost: 7+A-U 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'=P*free_24, T'=free_25*O, [ 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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ C>=1+D && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ D>=1+C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ C>=1+D && free_7>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ D>=1+C && free_7>=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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ A>=C && free_7>=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, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D && C==D ], cost: 2 185: f15 -> f75 : E'=1+E, J'=E, K'=free_18+free_15-free_17, L'=free_9, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ D>=A && C>=1+D && 29>=E && free_8>=0 && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && C>=1+B && 0>=1+free_9 ], cost: 6 186: f15 -> f75 : E'=1+E, J'=E, K'=free_18+free_15-free_17, L'=free_9, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ D>=A && C>=1+D && 29>=E && free_8>=0 && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && C>=1+B && free_9>=1 ], cost: 6 187: f15 -> f75 : E'=1+E, J'=E, K'=free_18+free_15-free_17, L'=0, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ D>=A && C>=1+D && 29>=E && free_8>=0 && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && C>=1+B && free_9==0 ], cost: 6 188: f15 -> f75 : E'=1+E, J'=E, K'=free_18+free_15-free_17, L'=0, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, S'=free_24, T'=free_25, [ D>=A && C>=1+D && 29>=E && free_8>=0 && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && B>=C ], cost: 6 189: f15 -> f75 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_9, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && 29>=E && 0>=1+free_8 && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && C>=1+B && 0>=1+free_9 ], cost: 6 190: f15 -> f75 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_9, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && 29>=E && 0>=1+free_8 && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && C>=1+B && free_9>=1 ], cost: 6 191: f15 -> f75 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=0, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && 29>=E && 0>=1+free_8 && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && C>=1+B && free_9==0 ], cost: 6 192: f15 -> f75 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=0, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, S'=free_24, T'=free_25, [ D>=A && C>=1+D && 29>=E && 0>=1+free_8 && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && B>=C ], cost: 6 193: f15 -> f75 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_11, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && E>=31 && 0>=1+free_10 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && C>=1+B && 0>=1+free_11 ], cost: 6 194: f15 -> f75 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_11, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && E>=31 && 0>=1+free_10 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && C>=1+B && free_11>=1 ], cost: 6 195: f15 -> f75 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=0, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && E>=31 && 0>=1+free_10 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && C>=1+B && free_11==0 ], cost: 6 196: f15 -> f75 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=0, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, S'=free_24, T'=free_25, [ D>=A && C>=1+D && E>=31 && 0>=1+free_10 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && B>=C ], cost: 6 197: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_34, T'=free_33, [ D>=A && C>=1+D && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A && C>=B && 0>=1+free_36 ], cost: 8 198: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_34, T'=free_33, [ D>=A && C>=1+D && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A && C>=B && free_36>=1 ], cost: 8 199: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=0, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_34, T'=free_33, [ D>=A && C>=1+D && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A && C>=B && free_36==0 ], cost: 8 200: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=0, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_24*free_27, T'=free_25*free_31, [ D>=A && C>=1+D && E>=31 && free_18*free_10+free_18*free_16<=-1+free_18*free_10+free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && U>=1+A && -1+B>=C ], cost: 8 201: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33, U'=1+A, [ D>=A && C>=1+D && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U && C>=B && 0>=1+free_36 ], cost: 9+A-U 202: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=free_36, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33, U'=1+A, [ D>=A && C>=1+D && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U && C>=B && free_36>=1 ], cost: 9+A-U 203: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=0, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_54, T'=free_33, U'=1+A, [ D>=A && C>=1+D && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && B>=C && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U && C>=B && free_36==0 ], cost: 9+A-U 204: f15 -> f75 : B'=-1+B, E'=1+E, J'=E, K'=-free_33+free_28, L'=0, M'=free_16, N'=free_16, O'=free_31, P'=free_27, Q_1'=free_30, S'=free_24*free_27, T'=free_25*free_31, U'=1+A, [ D>=A && C>=1+D && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && free_36*(free_18+free_15-free_17)>=free_36*free_28*free_39 && free_28+free_36*free_28*free_39>=1+free_36*(free_18+free_15-free_17) && 0>=1+free_39 && free_34>=free_29*free_39 && free_29+free_29*free_39>=1+free_34 && free_29>=free_27 && free_34>=free_37*free_39 && free_37*free_39+free_37>=1+free_34 && free_27>=free_37 && free_18+free_15-free_17>=free_32*free_39 && free_32*free_39+free_32>=1+free_18+free_15-free_17 && free_32>=free_31 && free_18+free_15-free_17>=free_26*free_39 && free_26*free_39+free_26>=1+free_18+free_15-free_17 && free_31>=free_26 && free_36*free_34>=free_36*free_35*free_39 && free_36*free_35*free_39+free_35>=1+free_36*free_34 && free_35>=free_30 && free_36*free_34>=free_36*free_38*free_39 && free_36*free_38*free_39+free_38>=1+free_36*free_34 && free_30>=free_38 && A>=U && -1+B>=C ], cost: 9+A-U 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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ C>=1+D && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 36: f75 -> f15 : D'=A, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ D>=1+C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 38: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ C>=1+D && free_7>=1 && A>=1+D ], cost: 1-D+A 39: f75 -> f15 : D'=A, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ D>=1+C && free_7>=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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ A>=C && free_7>=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, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D && C==D ], cost: 2 186: f15 -> f75 : E'=1+E, J'=E, K'=free_18+free_15-free_17, L'=free_9, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ D>=A && C>=1+D && 29>=E && free_8>=0 && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && C>=1+B && free_9>=1 ], cost: 6 190: f15 -> f75 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_9, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && 29>=E && 0>=1+free_8 && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && C>=1+B && free_9>=1 ], cost: 6 194: f15 -> f75 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_11, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && E>=31 && 0>=1+free_10 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && C>=1+B && free_11>=1 ], cost: 6 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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ A>=C && free_7>=1 && A>=1+D ], cost: 1-D+A 205: f15 -> f10 : C'=1+C, D'=C, [ D>=A && C==D ], cost: 3 206: f15 -> f10 : C'=1+C, D'=C, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D && C==D ], cost: 3 207: f15 -> f15 : E'=1+E, J'=E, K'=free_18+free_15-free_17, L'=free_9, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ D>=A && C>=1+D && 29>=E && free_8>=0 && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && C>=1+B && free_9>=1 ], cost: 7 208: f15 -> f15 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_9, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && 29>=E && 0>=1+free_8 && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && C>=1+B && free_9>=1 ], cost: 7 209: f15 -> f15 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_11, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && E>=31 && 0>=1+free_10 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && C>=1+B && free_11>=1 ], cost: 7 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 : E'=1+E, J'=E, K'=free_18+free_15-free_17, L'=free_9, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ D>=A && C>=1+D && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && C>=1+B && free_9>=1 ], cost: 7 208: f15 -> f15 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_9, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && C>=1+B && free_9>=1 ], cost: 7 209: f15 -> f15 : E'=1+E, J'=E, K'=-free_22+free_23+free_20, L'=free_11, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && C>=1+B && free_11>=1 ], cost: 7 Accelerated rule 207 with metering function 30-E, yielding the new rule 210. Accelerated rule 208 with metering function 30-E, yielding the new rule 211. Accelerated rule 209 with NONTERM, yielding the new rule 212. Removing the simple loops: 207 208 209. 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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ A>=C && free_7>=1 && A>=1+D ], cost: 1-D+A 205: f15 -> f10 : C'=1+C, D'=C, [ D>=A && C==D ], cost: 3 206: f15 -> f10 : C'=1+C, D'=C, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D && C==D ], cost: 3 210: f15 -> f15 : E'=30, J'=29, K'=free_18+free_15-free_17, L'=free_9, M'=free_16, N'=free_16, O'=1, P'=1, Q_1'=0, [ D>=A && C>=1+D && 29>=E && free_8*free_18+free_18*free_16<=-1+free_18+free_8*free_18+free_18*free_16 && C>=1+B && free_9>=1 ], cost: 210-7*E 211: f15 -> f15 : E'=30, J'=29, K'=-free_22+free_23+free_20, L'=free_9, N'=-free_21, O'=1, P'=1, Q_1'=0, R'=free_21, [ D>=A && C>=1+D && 29>=E && free_8*free_23-free_21*free_23<=-1+free_8*free_23+free_23-free_21*free_23 && C>=1+B && free_9>=1 ], cost: 210-7*E 212: f15 -> [16] : [ D>=A && C>=1+D && E>=31 && free_10*free_23-free_21*free_23<=-1+free_10*free_23+free_23-free_21*free_23 && C>=1+B && free_11>=1 ], cost: INF 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_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ A>=C && free_7>=1 && A>=1+D ], cost: 1-D+A 205: f15 -> f10 : C'=1+C, D'=C, [ D>=A && C==D ], cost: 3 206: f15 -> f10 : C'=1+C, D'=C, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D && C==D ], cost: 3 43: start -> f10 : [ B>=1+A ], cost: 2 44: start -> f10 : B'=1+A, [ A>=B ], cost: 3-B+A Removed unreachable locations (and leaf rules with constant cost): Start location: start 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 37: f10 -> f15 : D'=A, E'=0, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 40: f10 -> f15 : D'=A, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ A>=C && free_7>=1 && A>=1+D ], cost: 1-D+A 205: f15 -> f10 : C'=1+C, D'=C, [ D>=A && C==D ], cost: 3 206: f15 -> f10 : C'=1+C, D'=C, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D && C==D ], cost: 3 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 213: f10 -> f10 : C'=1+C, D'=C, E'=0, [ A>=C && D>=A && C==D ], cost: 4 214: f10 -> f10 : C'=1+C, D'=C, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ A>=C && A>=1+D && C==D ], cost: 4 215: f10 -> f10 : C'=1+C, D'=C, E'=0, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ 0>=1+free_4 && A>=1+D && C==A ], cost: 4-D+A 216: f10 -> f10 : C'=1+C, D'=C, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ free_7>=1 && A>=1+D && C==A ], cost: 4-D+A 217: f10 -> [17] : [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 218: f10 -> [17] : [ A>=C && free_7>=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. Accelerating the following rules: 213: f10 -> f10 : C'=1+C, D'=C, E'=0, [ A>=C && D>=A && C==D ], cost: 4 214: f10 -> f10 : C'=1+C, D'=C, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ A>=C && A>=1+D && C==D ], cost: 4 215: f10 -> f10 : C'=1+C, D'=C, E'=0, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ 0>=1+free_4 && A>=1+D && C==A ], cost: 4-D+A 216: f10 -> f10 : C'=1+C, D'=C, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ free_7>=1 && A>=1+D && C==A ], cost: 4-D+A Accelerated rule 213 with metering function 1-D+2*A-C, yielding the new rule 219. Accelerated rule 214 with metering function 1+D-C, yielding the new rule 220. Accelerated rule 215 with metering function A-C, yielding the new rule 221. Accelerated rule 216 with metering function A-C, yielding the new rule 222. Nested simple loops 215 (outer loop) and 220 (inner loop) with metering function meter (where 3*meter==-1-D+2*A-C), resulting in the new rules: 223. Nested simple loops 216 (outer loop) and 220 (inner loop) with metering function meter_1 (where 3*meter_1==-1-D+2*A-C), resulting in the new rules: 224. Removing the simple loops: 213 214 215 216. Accelerated all simple loops using metering functions (where possible): Start location: start 217: f10 -> [17] : [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 218: f10 -> [17] : [ A>=C && free_7>=1 && A>=1+D ], cost: 1-D+A 219: f10 -> f10 : C'=1-D+2*A, D'=-D+2*A, E'=0, [ A>=C && D>=A && C==D && 1-D+2*A-C>=1 ], cost: 4-4*D+8*A-4*C 220: f10 -> f10 : C'=1+D, D'=D, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ A>=C && A>=1+D && C==D ], cost: 4+4*D-4*C 221: f10 -> f10 : C'=A, D'=-1+A, E'=0, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ 0>=1+free_4 && A>=1+D && C==A && A-C>=1 ], cost: -(A-C)*C-1/2*(A-C)^2+A*(A-C)+11/2*A-11/2*C 222: f10 -> f10 : C'=A, D'=-1+A, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ free_7>=1 && A>=1+D && C==A && A-C>=1 ], cost: -(A-C)*C-1/2*(A-C)^2+A*(A-C)+11/2*A-11/2*C 223: f10 -> f10 : C'=1+meter+D, D'=meter+D, E'=0, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ A>=C && C==D && 0>=1+free_4 && 1+D==A && 3*meter==-1-D+2*A-C && meter>=1 ], cost: meter*A+9/2*meter-meter*D-1/2*meter^2 224: f10 -> f10 : C'=1+meter_1+D, D'=meter_1+D, E'=0, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ A>=C && C==D && free_7>=1 && 1+D==A && 3*meter_1==-1-D+2*A-C && meter_1>=1 ], cost: meter_1*A+9/2*meter_1-meter_1*D-1/2*meter_1^2 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 217: f10 -> [17] : [ A>=C && 0>=1+free_4 && A>=1+D ], cost: 1-D+A 218: f10 -> [17] : [ A>=C && free_7>=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 225: start -> f10 : C'=1-D+2*A, D'=-D+2*A, E'=0, [ B>=1+A && A>=C && D>=A && C==D && 1-D+2*A-C>=1 ], cost: 6-4*D+8*A-4*C 226: start -> f10 : B'=1+A, C'=1-D+2*A, D'=-D+2*A, E'=0, [ A>=B && A>=C && D>=A && C==D && 1-D+2*A-C>=1 ], cost: 7-B-4*D+9*A-4*C 227: start -> f10 : C'=1+D, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ B>=1+A && A>=C && A>=1+D && C==D ], cost: 6+4*D-4*C 228: start -> f10 : B'=1+A, C'=1+D, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ A>=B && A>=C && A>=1+D && C==D ], cost: 7-B+4*D+A-4*C Eliminated locations (on tree-shaped paths): Start location: start 229: start -> [17] : [ B>=1+A && A>=C && 0>=1+free_4 && A>=1+D ], cost: 3-D+A 230: start -> [17] : [ B>=1+A && A>=C && free_7>=1 && A>=1+D ], cost: 3-D+A 231: start -> [17] : B'=1+A, [ A>=B && A>=C && 0>=1+free_4 && A>=1+D ], cost: 4-B-D+2*A 232: start -> [17] : B'=1+A, [ A>=B && A>=C && free_7>=1 && A>=1+D ], cost: 4-B-D+2*A 233: start -> [17] : C'=1+D, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ B>=1+A && A>=C && A>=1+D && C==D && 0>=1+free_4 ], cost: 7+3*D+A-4*C 234: start -> [17] : C'=1+D, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ B>=1+A && A>=C && A>=1+D && C==D && free_7>=1 ], cost: 7+3*D+A-4*C 235: start -> [17] : B'=1+A, C'=1+D, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ A>=B && A>=C && A>=1+D && C==D && 0>=1+free_4 ], cost: 8-B+3*D+2*A-4*C 236: start -> [17] : B'=1+A, C'=1+D, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ A>=B && A>=C && A>=1+D && C==D && free_7>=1 ], cost: 8-B+3*D+2*A-4*C 237: start -> [19] : [ B>=1+A && A>=C && D>=A && C==D && 1-D+2*A-C>=1 ], cost: 6-4*D+8*A-4*C 238: start -> [19] : [ A>=B && A>=C && D>=A && C==D && 1-D+2*A-C>=1 ], cost: 7-B-4*D+9*A-4*C Applied pruning (of leafs and parallel rules): Start location: start 231: start -> [17] : B'=1+A, [ A>=B && A>=C && 0>=1+free_4 && A>=1+D ], cost: 4-B-D+2*A 233: start -> [17] : C'=1+D, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ B>=1+A && A>=C && A>=1+D && C==D && 0>=1+free_4 ], cost: 7+3*D+A-4*C 234: start -> [17] : C'=1+D, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ B>=1+A && A>=C && A>=1+D && C==D && free_7>=1 ], cost: 7+3*D+A-4*C 235: start -> [17] : B'=1+A, C'=1+D, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ A>=B && A>=C && A>=1+D && C==D && 0>=1+free_4 ], cost: 8-B+3*D+2*A-4*C 236: start -> [17] : B'=1+A, C'=1+D, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ A>=B && A>=C && A>=1+D && C==D && free_7>=1 ], cost: 8-B+3*D+2*A-4*C 237: start -> [19] : [ B>=1+A && A>=C && D>=A && C==D && 1-D+2*A-C>=1 ], cost: 6-4*D+8*A-4*C 238: start -> [19] : [ A>=B && A>=C && D>=A && C==D && 1-D+2*A-C>=1 ], cost: 7-B-4*D+9*A-4*C ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: start 231: start -> [17] : B'=1+A, [ A>=B && A>=C && 0>=1+free_4 && A>=1+D ], cost: 4-B-D+2*A 233: start -> [17] : C'=1+D, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ B>=1+A && A>=C && A>=1+D && C==D && 0>=1+free_4 ], cost: 7+3*D+A-4*C 234: start -> [17] : C'=1+D, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ B>=1+A && A>=C && A>=1+D && C==D && free_7>=1 ], cost: 7+3*D+A-4*C 235: start -> [17] : B'=1+A, C'=1+D, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ A>=B && A>=C && A>=1+D && C==D && 0>=1+free_4 ], cost: 8-B+3*D+2*A-4*C 236: start -> [17] : B'=1+A, C'=1+D, E'=0, F'=free, G'=free_1, H'=free_1+free, Q'=0, [ A>=B && A>=C && A>=1+D && C==D && free_7>=1 ], cost: 8-B+3*D+2*A-4*C 237: start -> [19] : [ B>=1+A && A>=C && D>=A && C==D && 1-D+2*A-C>=1 ], cost: 6-4*D+8*A-4*C 238: start -> [19] : [ A>=B && A>=C && D>=A && C==D && 1-D+2*A-C>=1 ], cost: 7-B-4*D+9*A-4*C Computing asymptotic complexity for rule 231 Solved the limit problem by the following transformations: Created initial limit problem: -free_4 (+/+!), 4-B-D+2*A (+), 1-B+A (+/+!), -D+A (+/+!), 1+A-C (+/+!) [not solved] applying transformation rule (C) using substitution {A==B} resulting limit problem: 1 (+/+!), 4+B-D (+), 1+B-C (+/+!), -free_4 (+/+!), B-D (+/+!) [not solved] applying transformation rule (C) using substitution {A==C} resulting limit problem: 1 (+/+!), 4+B-D (+), 1+B-C (+/+!), -free_4 (+/+!), B-D (+/+!) [not solved] applying transformation rule (C) using substitution {A==1+D} resulting limit problem: 1 (+/+!), 4+B-D (+), 1+B-C (+/+!), -free_4 (+/+!), B-D (+/+!) [not solved] applying transformation rule (B), deleting 1 (+/+!) resulting limit problem: 4+B-D (+), 1+B-C (+/+!), -free_4 (+/+!), B-D (+/+!) [not solved] removing all constraints (solved by SMT) resulting limit problem: [solved] applying transformation rule (C) using substitution {B==0,D==-n,C==-n,free_4==-n} resulting limit problem: [solved] Solution: B / 0 D / -n A / 0 C / -n free_4 / -n Resulting cost 4+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: 4+n Rule cost: 4-B-D+2*A Rule guard: [ A>=B && A>=C && 0>=1+free_4 && A>=1+D ] WORST_CASE(Omega(n^1),?) ---------------------------------------- (2) BOUNDS(n^1, INF)