/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), O(n^1)) proof of /export/starexec/sandbox/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, max(3, 4 + Arg_0 + -1 * Arg_2)). (0) CpxIntTrs (1) Koat2 Proof [FINISHED, 2757 ms] (2) BOUNDS(1, max(3, 4 + Arg_0 + -1 * Arg_2)) (3) Loat Proof [FINISHED, 33.8 s] (4) 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, V, W, X, Y, Z, A1) -> Com_1(f2(A, B + 1, C * B1, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: A >= B f10(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f19(A, B, C, D, B1, Q1, D1, G1, L1, 1, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: D >= 2 * C1 && 3 * C1 >= D + 1 && C1 >= D1 && D >= 2 * E1 && 3 * E1 >= D + 1 && D1 >= E1 && D * B1 >= 2 * B1 * F1 && 2 * B1 * F1 + F1 >= D * B1 + 1 && F1 >= G1 && D * B1 >= 2 * B1 * H1 && 2 * B1 * H1 + H1 >= D * B1 + 1 && G1 >= H1 && C >= D * B1 * I1 && D * B1 * I1 + I1 >= C + 1 && C >= D * B1 * J1 && D * B1 * J1 + J1 >= C + 1 && D * B1 * I1 >= 2 * B1 * J1 * K1 && 2 * B1 * J1 * K1 + K1 >= D * B1 * I1 + 1 && K1 >= L1 && C >= D * B1 * M1 && D * B1 * M1 + M1 >= C + 1 && C >= D * B1 * N1 && D * B1 * N1 + N1 >= C + 1 && D * B1 * M1 >= 2 * B1 * N1 * O1 && 2 * B1 * N1 * O1 + O1 >= D * B1 * M1 + 1 && L1 >= O1 && B >= 1 && C >= D * B1 * P1 && D * B1 * P1 + P1 >= C + 1 && P1 >= Q1 && C >= D * B1 * R1 && D * B1 * R1 + R1 >= C + 1 && Q1 >= R1 f19(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f23(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: H >= K && J >= K + 1 f23(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f26(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: K + G >= 2 + L f26(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f26(A, B, C, D, E, F, G, H, I, J, K, L, M + H, J + M - K, B1, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: I >= M f19(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f41(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, B1, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: K >= J && H >= 2 * Q1 && 3 * Q1 >= H + 1 && Q1 >= B1 && H >= 2 * D1 && 3 * D1 >= H + 1 && B1 >= D1 && H >= K f41(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f41(A, B, C, D, E, F, G, H, I, J - P, K, L, M, N, O, B1, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: J >= 1 + P && P >= 2 * Q1 && 3 * Q1 >= P + 1 && Q1 >= B1 && P >= 2 * D1 && 3 * D1 >= P + 1 && B1 >= D1 && P >= G f53(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f63(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, 2 * Q, B1, Q1, D1, G1, 1, 0, Y, Z, A1)) :|: H >= Q + 1 f63(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f66(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: Q >= M f66(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f69(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: M + G >= 2 + L f69(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f69(A, B, C, D, E, F, G, H, I, J, K + R, L, M, N, W * B1 - X * Q1, P, Q, R, S, T, U, V, W, X, K, K + Q, W * D1 + X * G1)) :|: I >= K f69(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f66(A, B, C, D, E, F, G, H, I, J, K, L + 2, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: K >= 1 + I f66(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f63(A, B, C, D, E, F, G, H, I, J, K, L, M + G, N, O, P, Q, R, S, W, U, V, U * W - V * X + W, U * X + V * W + X, Y, Z, A1)) :|: L + 1 >= M + G f63(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f53(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, R, R, S, T, U, V, W, X, Y, Z, A1)) :|: M >= 1 + Q f53(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f10(A, B - 1, C, D * E, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: Q >= H f41(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f19(A, B, C, D, E, F, G, H, I, J + P, K + G, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: P >= G && P >= J f41(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f19(A, B, C, D, E, F, G, H, I, J + P, K + G, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: G >= P + 1 f26(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f23(A, B, C, D, E, F, G, H, I, J, K, L + 2, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: M >= 1 + I f23(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f41(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, B1, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: L + 1 >= K + G && H >= 2 * Q1 && 3 * Q1 >= H + 1 && Q1 >= B1 && H >= 2 * D1 && 3 * D1 >= H + 1 && B1 >= D1 f19(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f53(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, G, R, S, T, U, V, W, X, Y, Z, A1)) :|: K >= 1 + H f10(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f1(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: 0 >= B f2(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f10(A, B, C, 1, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: 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, V, W, X, Y, Z, A1) -> Com_1(f2(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: TRUE The start-symbols are:[start_27] ---------------------------------------- (1) Koat2 Proof (FINISHED) YES( ?, max([3, 4+Arg_0-Arg_2]) {O(n)}) Initial Complexity Problem: Start: start Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7, Arg_8, Arg_9, Arg_10, Arg_11, Arg_12, Arg_13, Arg_14, Arg_15, Arg_16, Arg_17, Arg_18, Arg_19, Arg_20, Arg_21, Arg_22, Arg_23, Arg_24, Arg_25, Arg_26 Temp_Vars: B1 Locations: f1, f10, f2, start Transitions: f10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26) -> f1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26):|:Arg_4 <= 1 && 1 <= Arg_4 && 1+Arg_0 <= Arg_2 && Arg_2 <= 0 f2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26) -> f10(Arg_0,Arg_1,Arg_2,Arg_3,1,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26):|:1+Arg_0 <= Arg_2 f2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26) -> f2(Arg_0,Arg_1,Arg_2+1,B1Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26):|:Arg_2 <= Arg_0 start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26) -> f2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9,Arg_10,Arg_11,Arg_12,Arg_13,Arg_14,Arg_15,Arg_16,Arg_17,Arg_18,Arg_19,Arg_20,Arg_21,Arg_22,Arg_23,Arg_24,Arg_25,Arg_26):|: Timebounds: Overall timebound: max([3, 4+Arg_0-Arg_2]) {O(n)} 20: f10->f1: 1 {O(1)} 0: f2->f2: max([0, 1+Arg_0-Arg_2]) {O(n)} 21: f2->f10: 1 {O(1)} 22: start->f2: 1 {O(1)} Costbounds: Overall costbound: max([3, 4+Arg_0-Arg_2]) {O(n)} 20: f10->f1: 1 {O(1)} 0: f2->f2: max([0, 1+Arg_0-Arg_2]) {O(n)} 21: f2->f10: 1 {O(1)} 22: start->f2: 1 {O(1)} Sizebounds: `Lower: 20: f10->f1, Arg_0: Arg_0 {O(n)} 20: f10->f1, Arg_1: Arg_1 {O(n)} 20: f10->f1, Arg_2: Arg_2 {O(n)} 20: f10->f1, Arg_4: 1 {O(1)} 20: f10->f1, Arg_5: Arg_5 {O(n)} 20: f10->f1, Arg_6: Arg_6 {O(n)} 20: f10->f1, Arg_7: Arg_7 {O(n)} 20: f10->f1, Arg_8: Arg_8 {O(n)} 20: f10->f1, Arg_9: Arg_9 {O(n)} 20: f10->f1, Arg_10: Arg_10 {O(n)} 20: f10->f1, Arg_11: Arg_11 {O(n)} 20: f10->f1, Arg_12: Arg_12 {O(n)} 20: f10->f1, Arg_13: Arg_13 {O(n)} 20: f10->f1, Arg_14: Arg_14 {O(n)} 20: f10->f1, Arg_15: Arg_15 {O(n)} 20: f10->f1, Arg_16: Arg_16 {O(n)} 20: f10->f1, Arg_17: Arg_17 {O(n)} 20: f10->f1, Arg_18: Arg_18 {O(n)} 20: f10->f1, Arg_19: Arg_19 {O(n)} 20: f10->f1, Arg_20: Arg_20 {O(n)} 20: f10->f1, Arg_21: Arg_21 {O(n)} 20: f10->f1, Arg_22: Arg_22 {O(n)} 20: f10->f1, Arg_23: Arg_23 {O(n)} 20: f10->f1, Arg_24: Arg_24 {O(n)} 20: f10->f1, Arg_25: Arg_25 {O(n)} 20: f10->f1, Arg_26: Arg_26 {O(n)} 0: f2->f2, Arg_0: Arg_0 {O(n)} 0: f2->f2, Arg_1: Arg_1 {O(n)} 0: f2->f2, Arg_2: Arg_2 {O(n)} 0: f2->f2, Arg_4: Arg_4 {O(n)} 0: f2->f2, Arg_5: Arg_5 {O(n)} 0: f2->f2, Arg_6: Arg_6 {O(n)} 0: f2->f2, Arg_7: Arg_7 {O(n)} 0: f2->f2, Arg_8: Arg_8 {O(n)} 0: f2->f2, Arg_9: Arg_9 {O(n)} 0: f2->f2, Arg_10: Arg_10 {O(n)} 0: f2->f2, Arg_11: Arg_11 {O(n)} 0: f2->f2, Arg_12: Arg_12 {O(n)} 0: f2->f2, Arg_13: Arg_13 {O(n)} 0: f2->f2, Arg_14: Arg_14 {O(n)} 0: f2->f2, Arg_15: Arg_15 {O(n)} 0: f2->f2, Arg_16: Arg_16 {O(n)} 0: f2->f2, Arg_17: Arg_17 {O(n)} 0: f2->f2, Arg_18: Arg_18 {O(n)} 0: f2->f2, Arg_19: Arg_19 {O(n)} 0: f2->f2, Arg_20: Arg_20 {O(n)} 0: f2->f2, Arg_21: Arg_21 {O(n)} 0: f2->f2, Arg_22: Arg_22 {O(n)} 0: f2->f2, Arg_23: Arg_23 {O(n)} 0: f2->f2, Arg_24: Arg_24 {O(n)} 0: f2->f2, Arg_25: Arg_25 {O(n)} 0: f2->f2, Arg_26: Arg_26 {O(n)} 21: f2->f10, Arg_0: Arg_0 {O(n)} 21: f2->f10, Arg_1: Arg_1 {O(n)} 21: f2->f10, Arg_2: Arg_2 {O(n)} 21: f2->f10, Arg_4: 1 {O(1)} 21: f2->f10, Arg_5: Arg_5 {O(n)} 21: f2->f10, Arg_6: Arg_6 {O(n)} 21: f2->f10, Arg_7: Arg_7 {O(n)} 21: f2->f10, Arg_8: Arg_8 {O(n)} 21: f2->f10, Arg_9: Arg_9 {O(n)} 21: f2->f10, Arg_10: Arg_10 {O(n)} 21: f2->f10, Arg_11: Arg_11 {O(n)} 21: f2->f10, Arg_12: Arg_12 {O(n)} 21: f2->f10, Arg_13: Arg_13 {O(n)} 21: f2->f10, Arg_14: Arg_14 {O(n)} 21: f2->f10, Arg_15: Arg_15 {O(n)} 21: f2->f10, Arg_16: Arg_16 {O(n)} 21: f2->f10, Arg_17: Arg_17 {O(n)} 21: f2->f10, Arg_18: Arg_18 {O(n)} 21: f2->f10, Arg_19: Arg_19 {O(n)} 21: f2->f10, Arg_20: Arg_20 {O(n)} 21: f2->f10, Arg_21: Arg_21 {O(n)} 21: f2->f10, Arg_22: Arg_22 {O(n)} 21: f2->f10, Arg_23: Arg_23 {O(n)} 21: f2->f10, Arg_24: Arg_24 {O(n)} 21: f2->f10, Arg_25: Arg_25 {O(n)} 21: f2->f10, Arg_26: Arg_26 {O(n)} 22: start->f2, Arg_0: Arg_0 {O(n)} 22: start->f2, Arg_1: Arg_1 {O(n)} 22: start->f2, Arg_2: Arg_2 {O(n)} 22: start->f2, Arg_3: Arg_3 {O(n)} 22: start->f2, Arg_4: Arg_4 {O(n)} 22: start->f2, Arg_5: Arg_5 {O(n)} 22: start->f2, Arg_6: Arg_6 {O(n)} 22: start->f2, Arg_7: Arg_7 {O(n)} 22: start->f2, Arg_8: Arg_8 {O(n)} 22: start->f2, Arg_9: Arg_9 {O(n)} 22: start->f2, Arg_10: Arg_10 {O(n)} 22: start->f2, Arg_11: Arg_11 {O(n)} 22: start->f2, Arg_12: Arg_12 {O(n)} 22: start->f2, Arg_13: Arg_13 {O(n)} 22: start->f2, Arg_14: Arg_14 {O(n)} 22: start->f2, Arg_15: Arg_15 {O(n)} 22: start->f2, Arg_16: Arg_16 {O(n)} 22: start->f2, Arg_17: Arg_17 {O(n)} 22: start->f2, Arg_18: Arg_18 {O(n)} 22: start->f2, Arg_19: Arg_19 {O(n)} 22: start->f2, Arg_20: Arg_20 {O(n)} 22: start->f2, Arg_21: Arg_21 {O(n)} 22: start->f2, Arg_22: Arg_22 {O(n)} 22: start->f2, Arg_23: Arg_23 {O(n)} 22: start->f2, Arg_24: Arg_24 {O(n)} 22: start->f2, Arg_25: Arg_25 {O(n)} 22: start->f2, Arg_26: Arg_26 {O(n)} `Upper: 20: f10->f1, Arg_0: -1 {O(1)} 20: f10->f1, Arg_1: Arg_1 {O(n)} 20: f10->f1, Arg_2: 0 {O(1)} 20: f10->f1, Arg_4: 1 {O(1)} 20: f10->f1, Arg_5: Arg_5 {O(n)} 20: f10->f1, Arg_6: Arg_6 {O(n)} 20: f10->f1, Arg_7: Arg_7 {O(n)} 20: f10->f1, Arg_8: Arg_8 {O(n)} 20: f10->f1, Arg_9: Arg_9 {O(n)} 20: f10->f1, Arg_10: Arg_10 {O(n)} 20: f10->f1, Arg_11: Arg_11 {O(n)} 20: f10->f1, Arg_12: Arg_12 {O(n)} 20: f10->f1, Arg_13: Arg_13 {O(n)} 20: f10->f1, Arg_14: Arg_14 {O(n)} 20: f10->f1, Arg_15: Arg_15 {O(n)} 20: f10->f1, Arg_16: Arg_16 {O(n)} 20: f10->f1, Arg_17: Arg_17 {O(n)} 20: f10->f1, Arg_18: Arg_18 {O(n)} 20: f10->f1, Arg_19: Arg_19 {O(n)} 20: f10->f1, Arg_20: Arg_20 {O(n)} 20: f10->f1, Arg_21: Arg_21 {O(n)} 20: f10->f1, Arg_22: Arg_22 {O(n)} 20: f10->f1, Arg_23: Arg_23 {O(n)} 20: f10->f1, Arg_24: Arg_24 {O(n)} 20: f10->f1, Arg_25: Arg_25 {O(n)} 20: f10->f1, Arg_26: Arg_26 {O(n)} 0: f2->f2, Arg_0: Arg_0 {O(n)} 0: f2->f2, Arg_1: Arg_1 {O(n)} 0: f2->f2, Arg_2: Arg_2+max([0, 1+Arg_0-Arg_2]) {O(n)} 0: f2->f2, Arg_4: Arg_4 {O(n)} 0: f2->f2, Arg_5: Arg_5 {O(n)} 0: f2->f2, Arg_6: Arg_6 {O(n)} 0: f2->f2, Arg_7: Arg_7 {O(n)} 0: f2->f2, Arg_8: Arg_8 {O(n)} 0: f2->f2, Arg_9: Arg_9 {O(n)} 0: f2->f2, Arg_10: Arg_10 {O(n)} 0: f2->f2, Arg_11: Arg_11 {O(n)} 0: f2->f2, Arg_12: Arg_12 {O(n)} 0: f2->f2, Arg_13: Arg_13 {O(n)} 0: f2->f2, Arg_14: Arg_14 {O(n)} 0: f2->f2, Arg_15: Arg_15 {O(n)} 0: f2->f2, Arg_16: Arg_16 {O(n)} 0: f2->f2, Arg_17: Arg_17 {O(n)} 0: f2->f2, Arg_18: Arg_18 {O(n)} 0: f2->f2, Arg_19: Arg_19 {O(n)} 0: f2->f2, Arg_20: Arg_20 {O(n)} 0: f2->f2, Arg_21: Arg_21 {O(n)} 0: f2->f2, Arg_22: Arg_22 {O(n)} 0: f2->f2, Arg_23: Arg_23 {O(n)} 0: f2->f2, Arg_24: Arg_24 {O(n)} 0: f2->f2, Arg_25: Arg_25 {O(n)} 0: f2->f2, Arg_26: Arg_26 {O(n)} 21: f2->f10, Arg_0: Arg_0 {O(n)} 21: f2->f10, Arg_1: Arg_1 {O(n)} 21: f2->f10, Arg_2: max([Arg_2, Arg_2+max([0, 1+Arg_0-Arg_2])]) {O(n)} 21: f2->f10, Arg_4: 1 {O(1)} 21: f2->f10, Arg_5: Arg_5 {O(n)} 21: f2->f10, Arg_6: Arg_6 {O(n)} 21: f2->f10, Arg_7: Arg_7 {O(n)} 21: f2->f10, Arg_8: Arg_8 {O(n)} 21: f2->f10, Arg_9: Arg_9 {O(n)} 21: f2->f10, Arg_10: Arg_10 {O(n)} 21: f2->f10, Arg_11: Arg_11 {O(n)} 21: f2->f10, Arg_12: Arg_12 {O(n)} 21: f2->f10, Arg_13: Arg_13 {O(n)} 21: f2->f10, Arg_14: Arg_14 {O(n)} 21: f2->f10, Arg_15: Arg_15 {O(n)} 21: f2->f10, Arg_16: Arg_16 {O(n)} 21: f2->f10, Arg_17: Arg_17 {O(n)} 21: f2->f10, Arg_18: Arg_18 {O(n)} 21: f2->f10, Arg_19: Arg_19 {O(n)} 21: f2->f10, Arg_20: Arg_20 {O(n)} 21: f2->f10, Arg_21: Arg_21 {O(n)} 21: f2->f10, Arg_22: Arg_22 {O(n)} 21: f2->f10, Arg_23: Arg_23 {O(n)} 21: f2->f10, Arg_24: Arg_24 {O(n)} 21: f2->f10, Arg_25: Arg_25 {O(n)} 21: f2->f10, Arg_26: Arg_26 {O(n)} 22: start->f2, Arg_0: Arg_0 {O(n)} 22: start->f2, Arg_1: Arg_1 {O(n)} 22: start->f2, Arg_2: Arg_2 {O(n)} 22: start->f2, Arg_3: Arg_3 {O(n)} 22: start->f2, Arg_4: Arg_4 {O(n)} 22: start->f2, Arg_5: Arg_5 {O(n)} 22: start->f2, Arg_6: Arg_6 {O(n)} 22: start->f2, Arg_7: Arg_7 {O(n)} 22: start->f2, Arg_8: Arg_8 {O(n)} 22: start->f2, Arg_9: Arg_9 {O(n)} 22: start->f2, Arg_10: Arg_10 {O(n)} 22: start->f2, Arg_11: Arg_11 {O(n)} 22: start->f2, Arg_12: Arg_12 {O(n)} 22: start->f2, Arg_13: Arg_13 {O(n)} 22: start->f2, Arg_14: Arg_14 {O(n)} 22: start->f2, Arg_15: Arg_15 {O(n)} 22: start->f2, Arg_16: Arg_16 {O(n)} 22: start->f2, Arg_17: Arg_17 {O(n)} 22: start->f2, Arg_18: Arg_18 {O(n)} 22: start->f2, Arg_19: Arg_19 {O(n)} 22: start->f2, Arg_20: Arg_20 {O(n)} 22: start->f2, Arg_21: Arg_21 {O(n)} 22: start->f2, Arg_22: Arg_22 {O(n)} 22: start->f2, Arg_23: Arg_23 {O(n)} 22: start->f2, Arg_24: Arg_24 {O(n)} 22: start->f2, Arg_25: Arg_25 {O(n)} 22: start->f2, Arg_26: Arg_26 {O(n)} ---------------------------------------- (2) BOUNDS(1, max(3, 4 + Arg_0 + -1 * Arg_2)) ---------------------------------------- (3) Loat Proof (FINISHED) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: start 0: f2 -> f2 : B'=1+B, C'=free*C, [ A>=B ], cost: 1 21: f2 -> f10 : D'=1, [ B>=1+A ], cost: 1 1: f10 -> f19 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, [ D>=2*free_5 && 3*free_5>=1+D && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 ], cost: 1 20: 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, J1'=T, K'=U, K1'=V, L'=W, L1'=X, M'=Y, M1'=Z, N'=A1, [ 0>=B ], cost: 1 2: f19 -> f23 : [ H>=K && J>=1+K ], cost: 1 5: f19 -> f41 : P'=free_20, [ K>=J && H>=2*free_19 && 3*free_19>=1+H && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K ], cost: 1 19: f19 -> f53 : Q_1'=G, [ K>=1+H ], cost: 1 3: f23 -> f26 : [ G+K>=2+L ], cost: 1 18: f23 -> f41 : P'=free_34, [ 1+L>=G+K && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 ], cost: 1 4: f26 -> f26 : M'=M+H, N'=M+J-K, O'=free_18, [ Q>=M ], cost: 1 17: f26 -> f23 : L'=2+L, [ M>=1+Q ], cost: 1 6: f41 -> f41 : J'=-P+J, P'=free_23, [ J>=1+P && P>=2*free_22 && 3*free_22>=1+P && free_22>=free_23 && P>=2*free_24 && 3*free_24>=1+P && free_23>=free_24 && P>=G ], cost: 1 15: f41 -> f19 : J'=P+J, K'=G+K, [ P>=G && P>=J ], cost: 1 16: f41 -> f19 : J'=P+J, K'=G+K, [ G>=1+P ], cost: 1 7: f53 -> f63 : R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 ], cost: 1 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 8: f63 -> f66 : [ Q_1>=M ], cost: 1 13: f63 -> f53 : Q_1'=R, [ M>=1+Q_1 ], cost: 1 9: f66 -> f69 : [ M+G>=2+L ], cost: 1 12: f66 -> f63 : M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ 1+L>=M+G ], cost: 1 10: f69 -> f69 : A1'=free_31*X+W*free_32, K'=R+K, O'=W*free_30-X*free_29, Y'=K, Z'=Q_1+K, [ Q>=K ], cost: 1 11: f69 -> f66 : L'=2+L, [ K>=1+Q ], cost: 1 22: start -> f2 : [], cost: 1 Removed unreachable and leaf rules: Start location: start 0: f2 -> f2 : B'=1+B, C'=free*C, [ A>=B ], cost: 1 21: f2 -> f10 : D'=1, [ B>=1+A ], cost: 1 1: f10 -> f19 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, [ D>=2*free_5 && 3*free_5>=1+D && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 ], cost: 1 2: f19 -> f23 : [ H>=K && J>=1+K ], cost: 1 5: f19 -> f41 : P'=free_20, [ K>=J && H>=2*free_19 && 3*free_19>=1+H && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K ], cost: 1 19: f19 -> f53 : Q_1'=G, [ K>=1+H ], cost: 1 3: f23 -> f26 : [ G+K>=2+L ], cost: 1 18: f23 -> f41 : P'=free_34, [ 1+L>=G+K && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 ], cost: 1 4: f26 -> f26 : M'=M+H, N'=M+J-K, O'=free_18, [ Q>=M ], cost: 1 17: f26 -> f23 : L'=2+L, [ M>=1+Q ], cost: 1 6: f41 -> f41 : J'=-P+J, P'=free_23, [ J>=1+P && P>=2*free_22 && 3*free_22>=1+P && free_22>=free_23 && P>=2*free_24 && 3*free_24>=1+P && free_23>=free_24 && P>=G ], cost: 1 15: f41 -> f19 : J'=P+J, K'=G+K, [ P>=G && P>=J ], cost: 1 16: f41 -> f19 : J'=P+J, K'=G+K, [ G>=1+P ], cost: 1 7: f53 -> f63 : R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 ], cost: 1 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 8: f63 -> f66 : [ Q_1>=M ], cost: 1 13: f63 -> f53 : Q_1'=R, [ M>=1+Q_1 ], cost: 1 9: f66 -> f69 : [ M+G>=2+L ], cost: 1 12: f66 -> f63 : M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ 1+L>=M+G ], cost: 1 10: f69 -> f69 : A1'=free_31*X+W*free_32, K'=R+K, O'=W*free_30-X*free_29, Y'=K, Z'=Q_1+K, [ Q>=K ], cost: 1 11: f69 -> f66 : L'=2+L, [ K>=1+Q ], cost: 1 22: start -> f2 : [], cost: 1 Simplified all rules, resulting in: Start location: start 0: f2 -> f2 : B'=1+B, C'=free*C, [ A>=B ], cost: 1 21: f2 -> f10 : D'=1, [ B>=1+A ], cost: 1 1: f10 -> f19 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 ], cost: 1 2: f19 -> f23 : [ H>=K && J>=1+K ], cost: 1 5: f19 -> f41 : P'=free_20, [ K>=J && H>=2*free_19 && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K ], cost: 1 19: f19 -> f53 : Q_1'=G, [ K>=1+H ], cost: 1 3: f23 -> f26 : [ G+K>=2+L ], cost: 1 18: f23 -> f41 : P'=free_34, [ 1+L>=G+K && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 ], cost: 1 4: f26 -> f26 : M'=M+H, N'=M+J-K, O'=free_18, [ Q>=M ], cost: 1 17: f26 -> f23 : L'=2+L, [ M>=1+Q ], cost: 1 6: f41 -> f41 : J'=-P+J, P'=free_23, [ J>=1+P && P>=2*free_22 && free_22>=free_23 && P>=2*free_24 && 3*free_24>=1+P && free_23>=free_24 && P>=G ], cost: 1 15: f41 -> f19 : J'=P+J, K'=G+K, [ P>=G && P>=J ], cost: 1 16: f41 -> f19 : J'=P+J, K'=G+K, [ G>=1+P ], cost: 1 7: f53 -> f63 : R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 ], cost: 1 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 8: f63 -> f66 : [ Q_1>=M ], cost: 1 13: f63 -> f53 : Q_1'=R, [ M>=1+Q_1 ], cost: 1 9: f66 -> f69 : [ M+G>=2+L ], cost: 1 12: f66 -> f63 : M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ 1+L>=M+G ], cost: 1 10: f69 -> f69 : A1'=free_31*X+W*free_32, K'=R+K, O'=W*free_30-X*free_29, Y'=K, Z'=Q_1+K, [ Q>=K ], cost: 1 11: f69 -> f66 : L'=2+L, [ K>=1+Q ], cost: 1 22: 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, C'=free*C, [ A>=B ], cost: 1 Accelerated rule 0 with metering function 1-B+A, yielding the new rule 23. Removing the simple loops: 0. Accelerating simple loops of location 4. Accelerating the following rules: 4: f26 -> f26 : M'=M+H, N'=M+J-K, O'=free_18, [ Q>=M ], cost: 1 Found no metering function for rule 4. Removing the simple loops:. Accelerating simple loops of location 5. Accelerating the following rules: 6: f41 -> f41 : J'=-P+J, P'=free_23, [ J>=1+P && P>=2*free_22 && free_22>=free_23 && P>=2*free_24 && 3*free_24>=1+P && free_23>=free_24 && P>=G ], cost: 1 During metering: Instantiating temporary variables by {free_24==free_23,free_22==free_23,free_23==free_24} Accelerated rule 6 with metering function -free_24+free_23, yielding the new rule 24. Removing the simple loops: 6. Accelerating simple loops of location 9. Accelerating the following rules: 10: f69 -> f69 : A1'=free_31*X+W*free_32, K'=R+K, O'=W*free_30-X*free_29, Y'=K, Z'=Q_1+K, [ Q>=K ], cost: 1 Found no metering function for rule 10. Removing the simple loops:. Accelerated all simple loops using metering functions (where possible): Start location: start 21: f2 -> f10 : D'=1, [ B>=1+A ], cost: 1 23: f2 -> f2 : B'=1+A, C'=free^(1-B+A)*C, [ A>=B ], cost: 1-B+A 1: f10 -> f19 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 ], cost: 1 2: f19 -> f23 : [ H>=K && J>=1+K ], cost: 1 5: f19 -> f41 : P'=free_20, [ K>=J && H>=2*free_19 && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K ], cost: 1 19: f19 -> f53 : Q_1'=G, [ K>=1+H ], cost: 1 3: f23 -> f26 : [ G+K>=2+L ], cost: 1 18: f23 -> f41 : P'=free_34, [ 1+L>=G+K && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 ], cost: 1 4: f26 -> f26 : M'=M+H, N'=M+J-K, O'=free_18, [ Q>=M ], cost: 1 17: f26 -> f23 : L'=2+L, [ M>=1+Q ], cost: 1 15: f41 -> f19 : J'=P+J, K'=G+K, [ P>=G && P>=J ], cost: 1 16: f41 -> f19 : J'=P+J, K'=G+K, [ G>=1+P ], cost: 1 24: f41 -> f41 : J'=free_24*(free_24-free_23)+J, P'=free_24, [ J>=1+P && P>=2*free_23 && 3*free_23>=1+P && free_24>=free_23 && P>=G && -free_24+free_23>=1 ], cost: -free_24+free_23 7: f53 -> f63 : R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 ], cost: 1 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 8: f63 -> f66 : [ Q_1>=M ], cost: 1 13: f63 -> f53 : Q_1'=R, [ M>=1+Q_1 ], cost: 1 9: f66 -> f69 : [ M+G>=2+L ], cost: 1 12: f66 -> f63 : M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ 1+L>=M+G ], cost: 1 10: f69 -> f69 : A1'=free_31*X+W*free_32, K'=R+K, O'=W*free_30-X*free_29, Y'=K, Z'=Q_1+K, [ Q>=K ], cost: 1 11: f69 -> f66 : L'=2+L, [ K>=1+Q ], cost: 1 22: start -> f2 : [], cost: 1 Chained accelerated rules (with incoming rules): Start location: start 21: f2 -> f10 : D'=1, [ B>=1+A ], cost: 1 1: f10 -> f19 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 ], cost: 1 2: f19 -> f23 : [ H>=K && J>=1+K ], cost: 1 5: f19 -> f41 : P'=free_20, [ K>=J && H>=2*free_19 && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K ], cost: 1 19: f19 -> f53 : Q_1'=G, [ K>=1+H ], cost: 1 3: f23 -> f26 : [ G+K>=2+L ], cost: 1 18: f23 -> f41 : P'=free_34, [ 1+L>=G+K && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 ], cost: 1 26: f23 -> f26 : M'=M+H, N'=M+J-K, O'=free_18, [ G+K>=2+L && Q>=M ], cost: 2 17: f26 -> f23 : L'=2+L, [ M>=1+Q ], cost: 1 15: f41 -> f19 : J'=P+J, K'=G+K, [ P>=G && P>=J ], cost: 1 16: f41 -> f19 : J'=P+J, K'=G+K, [ G>=1+P ], cost: 1 7: f53 -> f63 : R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 ], cost: 1 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 8: f63 -> f66 : [ Q_1>=M ], cost: 1 13: f63 -> f53 : Q_1'=R, [ M>=1+Q_1 ], cost: 1 9: f66 -> f69 : [ M+G>=2+L ], cost: 1 12: f66 -> f63 : M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ 1+L>=M+G ], cost: 1 27: f66 -> f69 : A1'=free_31*X+W*free_32, K'=R+K, O'=W*free_30-X*free_29, Y'=K, Z'=Q_1+K, [ M+G>=2+L && Q>=K ], cost: 2 11: f69 -> f66 : L'=2+L, [ K>=1+Q ], cost: 1 22: start -> f2 : [], cost: 1 25: start -> f2 : B'=1+A, C'=free^(1-B+A)*C, [ A>=B ], cost: 2-B+A Eliminated locations (on tree-shaped paths): Start location: start 1: f10 -> f19 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 ], cost: 1 2: f19 -> f23 : [ H>=K && J>=1+K ], cost: 1 5: f19 -> f41 : P'=free_20, [ K>=J && H>=2*free_19 && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K ], cost: 1 19: f19 -> f53 : Q_1'=G, [ K>=1+H ], cost: 1 18: f23 -> f41 : P'=free_34, [ 1+L>=G+K && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 ], cost: 1 30: f23 -> f23 : L'=2+L, [ G+K>=2+L && M>=1+Q ], cost: 2 31: f23 -> f23 : L'=2+L, M'=M+H, N'=M+J-K, O'=free_18, [ G+K>=2+L && Q>=M && M+H>=1+Q ], cost: 3 15: f41 -> f19 : J'=P+J, K'=G+K, [ P>=G && P>=J ], cost: 1 16: f41 -> f19 : J'=P+J, K'=G+K, [ G>=1+P ], cost: 1 7: f53 -> f63 : R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 ], cost: 1 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 8: f63 -> f66 : [ Q_1>=M ], cost: 1 13: f63 -> f53 : Q_1'=R, [ M>=1+Q_1 ], cost: 1 12: f66 -> f63 : M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ 1+L>=M+G ], cost: 1 32: f66 -> f66 : L'=2+L, [ M+G>=2+L && K>=1+Q ], cost: 2 33: f66 -> f66 : A1'=free_31*X+W*free_32, K'=R+K, L'=2+L, O'=W*free_30-X*free_29, Y'=K, Z'=Q_1+K, [ M+G>=2+L && Q>=K && R+K>=1+Q ], cost: 3 28: start -> f10 : D'=1, [ B>=1+A ], cost: 2 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Accelerating simple loops of location 3. Accelerating the following rules: 30: f23 -> f23 : L'=2+L, [ G+K>=2+L && M>=1+Q ], cost: 2 31: f23 -> f23 : L'=2+L, M'=M+H, N'=M+J-K, O'=free_18, [ G+K>=2+L && Q>=M && M+H>=1+Q ], cost: 3 Accelerated rule 30 with metering function meter (where 2*meter==-1+G-L+K), yielding the new rule 34. Accelerated rule 31 with backward acceleration, yielding the new rule 35. During metering: Instantiating temporary variables by {meter==1} Removing the simple loops: 30 31. Accelerating simple loops of location 8. Accelerating the following rules: 32: f66 -> f66 : L'=2+L, [ M+G>=2+L && K>=1+Q ], cost: 2 33: f66 -> f66 : A1'=free_31*X+W*free_32, K'=R+K, L'=2+L, O'=W*free_30-X*free_29, Y'=K, Z'=Q_1+K, [ M+G>=2+L && Q>=K && R+K>=1+Q ], cost: 3 Accelerated rule 32 with metering function meter_2 (where 2*meter_2==-1+M+G-L), yielding the new rule 36. Accelerated rule 33 with backward acceleration, yielding the new rule 37. During metering: Instantiating temporary variables by {meter_2==1} Removing the simple loops: 32 33. Accelerated all simple loops using metering functions (where possible): Start location: start 1: f10 -> f19 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 ], cost: 1 2: f19 -> f23 : [ H>=K && J>=1+K ], cost: 1 5: f19 -> f41 : P'=free_20, [ K>=J && H>=2*free_19 && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K ], cost: 1 19: f19 -> f53 : Q_1'=G, [ K>=1+H ], cost: 1 18: f23 -> f41 : P'=free_34, [ 1+L>=G+K && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 ], cost: 1 34: f23 -> f23 : L'=L+2*meter, [ G+K>=2+L && M>=1+Q && 2*meter==-1+G-L+K && meter>=1 ], cost: 2*meter 35: f23 -> f23 : L'=L+2*k, M'=M+k*H, N'=M+k*H+J-K-H, O'=free_18, [ G+K>=2+L && Q>=M && M+H>=1+Q && k>0 && G+K>=L+2*k && Q>=M+(-1+k)*H && M+(-1+k)*H+H>=1+Q ], cost: 3*k 15: f41 -> f19 : J'=P+J, K'=G+K, [ P>=G && P>=J ], cost: 1 16: f41 -> f19 : J'=P+J, K'=G+K, [ G>=1+P ], cost: 1 7: f53 -> f63 : R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 ], cost: 1 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 8: f63 -> f66 : [ Q_1>=M ], cost: 1 13: f63 -> f53 : Q_1'=R, [ M>=1+Q_1 ], cost: 1 12: f66 -> f63 : M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ 1+L>=M+G ], cost: 1 36: f66 -> f66 : L'=L+2*meter_2, [ M+G>=2+L && K>=1+Q && 2*meter_2==-1+M+G-L && meter_2>=1 ], cost: 2*meter_2 37: f66 -> f66 : A1'=free_31*X+W*free_32, K'=R*k_1+K, L'=L+2*k_1, O'=W*free_30-X*free_29, Y'=-R+R*k_1+K, Z'=-R+R*k_1+Q_1+K, [ M+G>=2+L && Q>=K && R+K>=1+Q && k_1>0 && M+G>=L+2*k_1 && Q>=R*(-1+k_1)+K && R+R*(-1+k_1)+K>=1+Q ], cost: 3*k_1 28: start -> f10 : D'=1, [ B>=1+A ], cost: 2 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Chained accelerated rules (with incoming rules): Start location: start 1: f10 -> f19 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 ], cost: 1 2: f19 -> f23 : [ H>=K && J>=1+K ], cost: 1 5: f19 -> f41 : P'=free_20, [ K>=J && H>=2*free_19 && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K ], cost: 1 19: f19 -> f53 : Q_1'=G, [ K>=1+H ], cost: 1 38: f19 -> f23 : L'=L+2*meter, [ H>=K && J>=1+K && G+K>=2+L && M>=1+Q && 2*meter==-1+G-L+K && meter>=1 ], cost: 1+2*meter 39: f19 -> f23 : L'=L+2*k, M'=M+k*H, N'=M+k*H+J-K-H, O'=free_18, [ H>=K && J>=1+K && G+K>=2+L && Q>=M && M+H>=1+Q && k>0 && G+K>=L+2*k && Q>=M+(-1+k)*H && M+(-1+k)*H+H>=1+Q ], cost: 1+3*k 18: f23 -> f41 : P'=free_34, [ 1+L>=G+K && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 ], cost: 1 15: f41 -> f19 : J'=P+J, K'=G+K, [ P>=G && P>=J ], cost: 1 16: f41 -> f19 : J'=P+J, K'=G+K, [ G>=1+P ], cost: 1 7: f53 -> f63 : R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 ], cost: 1 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 8: f63 -> f66 : [ Q_1>=M ], cost: 1 13: f63 -> f53 : Q_1'=R, [ M>=1+Q_1 ], cost: 1 40: f63 -> f66 : L'=L+2*meter_2, [ Q_1>=M && M+G>=2+L && K>=1+Q && 2*meter_2==-1+M+G-L && meter_2>=1 ], cost: 1+2*meter_2 41: f63 -> f66 : A1'=free_31*X+W*free_32, K'=R*k_1+K, L'=L+2*k_1, O'=W*free_30-X*free_29, Y'=-R+R*k_1+K, Z'=-R+R*k_1+Q_1+K, [ Q_1>=M && M+G>=2+L && Q>=K && R+K>=1+Q && k_1>0 && M+G>=L+2*k_1 && Q>=R*(-1+k_1)+K && R+R*(-1+k_1)+K>=1+Q ], cost: 1+3*k_1 12: f66 -> f63 : M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ 1+L>=M+G ], cost: 1 28: start -> f10 : D'=1, [ B>=1+A ], cost: 2 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Eliminated locations (on tree-shaped paths): Start location: start 1: f10 -> f19 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 ], cost: 1 19: f19 -> f53 : Q_1'=G, [ K>=1+H ], cost: 1 45: f19 -> f19 : J'=J+free_20, K'=G+K, P'=free_20, [ K>=J && H>=2*free_19 && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K && free_20>=G && free_20>=J ], cost: 2 46: f19 -> f19 : J'=J+free_20, K'=G+K, P'=free_20, [ K>=J && H>=2*free_19 && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K && G>=1+free_20 ], cost: 2 47: f19 -> f19 : J'=free_34+J, K'=G+K, P'=free_34, [ H>=K && J>=1+K && 1+L>=G+K && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 && free_34>=G && free_34>=J ], cost: 3 48: f19 -> f19 : J'=free_34+J, K'=G+K, P'=free_34, [ H>=K && J>=1+K && 1+L>=G+K && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 && G>=1+free_34 ], cost: 3 49: f19 -> f19 : J'=free_34+J, K'=G+K, L'=L+2*meter, P'=free_34, [ H>=K && J>=1+K && G+K>=2+L && M>=1+Q && 2*meter==-1+G-L+K && meter>=1 && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 && free_34>=G && free_34>=J ], cost: 3+2*meter 50: f19 -> f19 : J'=free_34+J, K'=G+K, L'=L+2*meter, P'=free_34, [ H>=K && J>=1+K && G+K>=2+L && M>=1+Q && 2*meter==-1+G-L+K && meter>=1 && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 && G>=1+free_34 ], cost: 3+2*meter 51: f19 -> f19 : J'=free_34+J, K'=G+K, L'=L+2*k, M'=M+k*H, N'=M+k*H+J-K-H, O'=free_18, P'=free_34, [ H>=K && J>=1+K && G+K>=2+L && Q>=M && M+H>=1+Q && k>0 && G+K>=L+2*k && Q>=M+(-1+k)*H && M+(-1+k)*H+H>=1+Q && 1+L+2*k>=G+K && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 && free_34>=G && free_34>=J ], cost: 3+3*k 52: f19 -> f19 : J'=free_34+J, K'=G+K, L'=L+2*k, M'=M+k*H, N'=M+k*H+J-K-H, O'=free_18, P'=free_34, [ H>=K && J>=1+K && G+K>=2+L && Q>=M && M+H>=1+Q && k>0 && G+K>=L+2*k && Q>=M+(-1+k)*H && M+(-1+k)*H+H>=1+Q && 1+L+2*k>=G+K && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 && G>=1+free_34 ], cost: 3+3*k 7: f53 -> f63 : R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 ], cost: 1 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 13: f63 -> f53 : Q_1'=R, [ M>=1+Q_1 ], cost: 1 53: f63 -> f63 : M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ Q_1>=M && 1+L>=M+G ], cost: 2 54: f63 -> f63 : L'=L+2*meter_2, M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ Q_1>=M && M+G>=2+L && K>=1+Q && 2*meter_2==-1+M+G-L && meter_2>=1 ], cost: 2+2*meter_2 55: f63 -> f63 : A1'=free_31*X+W*free_32, K'=R*k_1+K, L'=L+2*k_1, M'=M+G, O'=W*free_30-X*free_29, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, Y'=-R+R*k_1+K, Z'=-R+R*k_1+Q_1+K, [ Q_1>=M && M+G>=2+L && Q>=K && R+K>=1+Q && k_1>0 && M+G>=L+2*k_1 && Q>=R*(-1+k_1)+K && R+R*(-1+k_1)+K>=1+Q && 1+L+2*k_1>=M+G ], cost: 2+3*k_1 28: start -> f10 : D'=1, [ B>=1+A ], cost: 2 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Applied pruning (of leafs and parallel rules): Start location: start 1: f10 -> f19 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 ], cost: 1 19: f19 -> f53 : Q_1'=G, [ K>=1+H ], cost: 1 45: f19 -> f19 : J'=J+free_20, K'=G+K, P'=free_20, [ K>=J && H>=2*free_19 && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K && free_20>=G && free_20>=J ], cost: 2 46: f19 -> f19 : J'=J+free_20, K'=G+K, P'=free_20, [ K>=J && H>=2*free_19 && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K && G>=1+free_20 ], cost: 2 48: f19 -> f19 : J'=free_34+J, K'=G+K, P'=free_34, [ H>=K && J>=1+K && 1+L>=G+K && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 && G>=1+free_34 ], cost: 3 49: f19 -> f19 : J'=free_34+J, K'=G+K, L'=L+2*meter, P'=free_34, [ H>=K && J>=1+K && G+K>=2+L && M>=1+Q && 2*meter==-1+G-L+K && meter>=1 && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 && free_34>=G && free_34>=J ], cost: 3+2*meter 50: f19 -> f19 : J'=free_34+J, K'=G+K, L'=L+2*meter, P'=free_34, [ H>=K && J>=1+K && G+K>=2+L && M>=1+Q && 2*meter==-1+G-L+K && meter>=1 && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 && G>=1+free_34 ], cost: 3+2*meter 7: f53 -> f63 : R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 ], cost: 1 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 13: f63 -> f53 : Q_1'=R, [ M>=1+Q_1 ], cost: 1 53: f63 -> f63 : M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ Q_1>=M && 1+L>=M+G ], cost: 2 54: f63 -> f63 : L'=L+2*meter_2, M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ Q_1>=M && M+G>=2+L && K>=1+Q && 2*meter_2==-1+M+G-L && meter_2>=1 ], cost: 2+2*meter_2 55: f63 -> f63 : A1'=free_31*X+W*free_32, K'=R*k_1+K, L'=L+2*k_1, M'=M+G, O'=W*free_30-X*free_29, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, Y'=-R+R*k_1+K, Z'=-R+R*k_1+Q_1+K, [ Q_1>=M && M+G>=2+L && Q>=K && R+K>=1+Q && k_1>0 && M+G>=L+2*k_1 && Q>=R*(-1+k_1)+K && R+R*(-1+k_1)+K>=1+Q && 1+L+2*k_1>=M+G ], cost: 2+3*k_1 28: start -> f10 : D'=1, [ B>=1+A ], cost: 2 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Accelerating simple loops of location 2. Accelerating the following rules: 45: f19 -> f19 : J'=J+free_20, K'=G+K, P'=free_20, [ K>=J && H>=2*free_19 && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K && free_20>=G && free_20>=J ], cost: 2 46: f19 -> f19 : J'=J+free_20, K'=G+K, P'=free_20, [ K>=J && H>=2*free_19 && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K && G>=1+free_20 ], cost: 2 48: f19 -> f19 : J'=free_34+J, K'=G+K, P'=free_34, [ H>=K && J>=1+K && 1+L>=G+K && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 && G>=1+free_34 ], cost: 3 49: f19 -> f19 : J'=free_34+J, K'=G+K, L'=L+2*meter, P'=free_34, [ H>=K && J>=1+K && G+K>=2+L && M>=1+Q && 2*meter==-1+G-L+K && meter>=1 && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 && free_34>=G && free_34>=J ], cost: 3+2*meter 50: f19 -> f19 : J'=free_34+J, K'=G+K, L'=L+2*meter, P'=free_34, [ H>=K && J>=1+K && G+K>=2+L && M>=1+Q && 2*meter==-1+G-L+K && meter>=1 && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 && G>=1+free_34 ], cost: 3+2*meter During metering: Instantiating temporary variables by {free_21==free_20,free_19==free_20,free_20==free_19} Found no metering function for rule 45. Accelerated rule 46 with backward acceleration, yielding the new rule 56. During metering: Instantiating temporary variables by {free_34==free_33,free_35==free_34,free_33==free_34} Accelerated rule 48 with backward acceleration, yielding the new rule 57. During metering: Instantiating temporary variables by {free_34==free_33,free_35==free_34,meter==1,free_33==free_34} Found no metering function for rule 49. Found no metering function for rule 50. Removing the simple loops: 46 48. Accelerating simple loops of location 7. Accelerating the following rules: 53: f63 -> f63 : M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ Q_1>=M && 1+L>=M+G ], cost: 2 54: f63 -> f63 : L'=L+2*meter_2, M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ Q_1>=M && M+G>=2+L && K>=1+Q && 2*meter_2==-1+M+G-L && meter_2>=1 ], cost: 2+2*meter_2 55: f63 -> f63 : A1'=free_31*X+W*free_32, K'=R*k_1+K, L'=L+2*k_1, M'=M+G, O'=W*free_30-X*free_29, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, Y'=-R+R*k_1+K, Z'=-R+R*k_1+Q_1+K, [ Q_1>=M && M+G>=2+L && Q>=K && R+K>=1+Q && k_1>0 && M+G>=L+2*k_1 && Q>=R*(-1+k_1)+K && R+R*(-1+k_1)+K>=1+Q && 1+L+2*k_1>=M+G ], cost: 2+3*k_1 Found no metering function for rule 53. Found no metering function for rule 54. Found no metering function for rule 55 (rule is too complicated). Removing the simple loops:. Accelerated all simple loops using metering functions (where possible): Start location: start 1: f10 -> f19 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 ], cost: 1 19: f19 -> f53 : Q_1'=G, [ K>=1+H ], cost: 1 45: f19 -> f19 : J'=J+free_20, K'=G+K, P'=free_20, [ K>=J && H>=2*free_19 && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K && free_20>=G && free_20>=J ], cost: 2 49: f19 -> f19 : J'=free_34+J, K'=G+K, L'=L+2*meter, P'=free_34, [ H>=K && J>=1+K && G+K>=2+L && M>=1+Q && 2*meter==-1+G-L+K && meter>=1 && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 && free_34>=G && free_34>=J ], cost: 3+2*meter 50: f19 -> f19 : J'=free_34+J, K'=G+K, L'=L+2*meter, P'=free_34, [ H>=K && J>=1+K && G+K>=2+L && M>=1+Q && 2*meter==-1+G-L+K && meter>=1 && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 && G>=1+free_34 ], cost: 3+2*meter 56: f19 -> f19 : J'=J+k_2*free_20, K'=k_2*G+K, P'=free_20, [ K>=J && H>=2*free_19 && free_19>=free_20 && H>=2*free_21 && 3*free_21>=1+H && free_20>=free_21 && H>=K && G>=1+free_20 && k_2>0 && (-1+k_2)*G+K>=(-1+k_2)*free_20+J && H>=(-1+k_2)*G+K ], cost: 2*k_2 57: f19 -> f19 : J'=J+free_34*k_3, K'=G*k_3+K, P'=free_34, [ H>=K && J>=1+K && 1+L>=G+K && H>=2*free_33 && 3*free_33>=1+H && free_33>=free_34 && H>=2*free_35 && 3*free_35>=1+H && free_34>=free_35 && G>=1+free_34 && k_3>0 && H>=K+G*(-1+k_3) && J+free_34*(-1+k_3)>=1+K+G*(-1+k_3) && 1+L>=G+K+G*(-1+k_3) ], cost: 3*k_3 7: f53 -> f63 : R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 ], cost: 1 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 13: f63 -> f53 : Q_1'=R, [ M>=1+Q_1 ], cost: 1 53: f63 -> f63 : M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ Q_1>=M && 1+L>=M+G ], cost: 2 54: f63 -> f63 : L'=L+2*meter_2, M'=M+G, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, [ Q_1>=M && M+G>=2+L && K>=1+Q && 2*meter_2==-1+M+G-L && meter_2>=1 ], cost: 2+2*meter_2 55: f63 -> f63 : A1'=free_31*X+W*free_32, K'=R*k_1+K, L'=L+2*k_1, M'=M+G, O'=W*free_30-X*free_29, T'=W, W'=-X*V+W+W*U, X'=W*V+X*U+X, Y'=-R+R*k_1+K, Z'=-R+R*k_1+Q_1+K, [ Q_1>=M && M+G>=2+L && Q>=K && R+K>=1+Q && k_1>0 && M+G>=L+2*k_1 && Q>=R*(-1+k_1)+K && R+R*(-1+k_1)+K>=1+Q && 1+L+2*k_1>=M+G ], cost: 2+3*k_1 28: start -> f10 : D'=1, [ B>=1+A ], cost: 2 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Chained accelerated rules (with incoming rules): Start location: start 1: f10 -> f19 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 ], cost: 1 58: f10 -> f19 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_20, K'=free_15+K, P'=free_20, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1 && free_12>=2*free_19 && free_19>=free_20 && free_12>=2*free_21 && 3*free_21>=1+free_12 && free_20>=free_21 && free_12>=K && free_20>=free_15 && free_20>=1 ], cost: 3 59: f10 -> f19 : E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_34>=1+L+2*meter-K && free_34>=1 ], cost: 4+2*meter 60: f10 -> f19 : E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1+L+2*meter-K>=1+free_34 ], cost: 4+2*meter 61: f10 -> f19 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+k_2*free_20, K'=k_2*free_15+K, P'=free_20, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1 && free_12>=2*free_19 && free_19>=free_20 && free_12>=2*free_21 && 3*free_21>=1+free_12 && free_20>=free_21 && free_12>=K && free_15>=1+free_20 && k_2>0 && free_15*(-1+k_2)+K>=1+(-1+k_2)*free_20 && free_12>=free_15*(-1+k_2)+K ], cost: 1+2*k_2 62: f10 -> f19 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, P'=free_34, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) ], cost: 1+3*k_3 19: f19 -> f53 : Q_1'=G, [ K>=1+H ], cost: 1 7: f53 -> f63 : R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 ], cost: 1 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 63: f53 -> f63 : M'=M+G, R'=2*Q_1, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ H>=1+Q_1 && Q_1>=M && 1+L>=M+G ], cost: 3 64: f53 -> f63 : L'=L+2*meter_2, M'=M+G, R'=2*Q_1, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ H>=1+Q_1 && Q_1>=M && M+G>=2+L && K>=1+Q && 2*meter_2==-1+M+G-L && meter_2>=1 ], cost: 3+2*meter_2 65: f53 -> f63 : A1'=free_32, K'=2*Q_1*k_1+K, L'=L+2*k_1, M'=M+G, O'=free_30, R'=2*Q_1, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, Y'=2*Q_1*k_1-2*Q_1+K, Z'=2*Q_1*k_1-Q_1+K, [ H>=1+Q_1 && Q_1>=M && M+G>=2+L && Q>=K && 2*Q_1+K>=1+Q && k_1>0 && M+G>=L+2*k_1 && Q>=2*Q_1*(-1+k_1)+K && 2*Q_1*(-1+k_1)+2*Q_1+K>=1+Q && 1+L+2*k_1>=M+G ], cost: 3+3*k_1 13: f63 -> f53 : Q_1'=R, [ M>=1+Q_1 ], cost: 1 28: start -> f10 : D'=1, [ B>=1+A ], cost: 2 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Eliminated locations (on tree-shaped paths): Start location: start 66: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 ], cost: 2 67: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_20, K'=free_15+K, P'=free_20, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1 && free_12>=2*free_19 && free_19>=free_20 && free_12>=2*free_21 && 3*free_21>=1+free_12 && free_20>=free_21 && free_12>=K && free_20>=free_15 && free_20>=1 && free_15+K>=1+free_12 ], cost: 4 68: f10 -> f53 : E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=1+L+2*meter-K, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_34>=1+L+2*meter-K && free_34>=1 && 1+L+2*meter>=1+free_12 ], cost: 5+2*meter 69: f10 -> f53 : E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=1+L+2*meter-K, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1+L+2*meter-K>=1+free_34 && 1+L+2*meter>=1+free_12 ], cost: 5+2*meter 70: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+k_2*free_20, K'=k_2*free_15+K, P'=free_20, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1 && free_12>=2*free_19 && free_19>=free_20 && free_12>=2*free_21 && 3*free_21>=1+free_12 && free_20>=free_21 && free_12>=K && free_15>=1+free_20 && k_2>0 && free_15*(-1+k_2)+K>=1+(-1+k_2)*free_20 && free_12>=free_15*(-1+k_2)+K && k_2*free_15+K>=1+free_12 ], cost: 2+2*k_2 71: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, P'=free_34, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 ], cost: 2+3*k_3 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 72: f53 -> f53 : Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 && M>=1+Q_1 ], cost: 2 73: f53 -> f53 : M'=M+G, Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ H>=1+Q_1 && Q_1>=M && 1+L>=M+G && M+G>=1+Q_1 ], cost: 4 74: f53 -> f53 : L'=L+2*meter_2, M'=M+G, Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ H>=1+Q_1 && Q_1>=M && M+G>=2+L && K>=1+Q && 2*meter_2==-1+M+G-L && meter_2>=1 && M+G>=1+Q_1 ], cost: 4+2*meter_2 75: f53 -> f53 : A1'=free_32, K'=2*Q_1*k_1+K, L'=L+2*k_1, M'=M+G, O'=free_30, Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, Y'=2*Q_1*k_1-2*Q_1+K, Z'=2*Q_1*k_1-Q_1+K, [ H>=1+Q_1 && Q_1>=M && M+G>=2+L && Q>=K && 2*Q_1+K>=1+Q && k_1>0 && M+G>=L+2*k_1 && Q>=2*Q_1*(-1+k_1)+K && 2*Q_1*(-1+k_1)+2*Q_1+K>=1+Q && 1+L+2*k_1>=M+G && M+G>=1+Q_1 ], cost: 4+3*k_1 28: start -> f10 : D'=1, [ B>=1+A ], cost: 2 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Applied pruning (of leafs and parallel rules): Start location: start 66: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 ], cost: 2 67: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_20, K'=free_15+K, P'=free_20, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1 && free_12>=2*free_19 && free_19>=free_20 && free_12>=2*free_21 && 3*free_21>=1+free_12 && free_20>=free_21 && free_12>=K && free_20>=free_15 && free_20>=1 && free_15+K>=1+free_12 ], cost: 4 68: f10 -> f53 : E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=1+L+2*meter-K, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_34>=1+L+2*meter-K && free_34>=1 && 1+L+2*meter>=1+free_12 ], cost: 5+2*meter 69: f10 -> f53 : E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=1+L+2*meter-K, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1+L+2*meter-K>=1+free_34 && 1+L+2*meter>=1+free_12 ], cost: 5+2*meter 71: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, P'=free_34, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 ], cost: 2+3*k_3 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 72: f53 -> f53 : Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 && M>=1+Q_1 ], cost: 2 73: f53 -> f53 : M'=M+G, Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ H>=1+Q_1 && Q_1>=M && 1+L>=M+G && M+G>=1+Q_1 ], cost: 4 74: f53 -> f53 : L'=L+2*meter_2, M'=M+G, Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ H>=1+Q_1 && Q_1>=M && M+G>=2+L && K>=1+Q && 2*meter_2==-1+M+G-L && meter_2>=1 && M+G>=1+Q_1 ], cost: 4+2*meter_2 75: f53 -> f53 : A1'=free_32, K'=2*Q_1*k_1+K, L'=L+2*k_1, M'=M+G, O'=free_30, Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, Y'=2*Q_1*k_1-2*Q_1+K, Z'=2*Q_1*k_1-Q_1+K, [ H>=1+Q_1 && Q_1>=M && M+G>=2+L && Q>=K && 2*Q_1+K>=1+Q && k_1>0 && M+G>=L+2*k_1 && Q>=2*Q_1*(-1+k_1)+K && 2*Q_1*(-1+k_1)+2*Q_1+K>=1+Q && 1+L+2*k_1>=M+G && M+G>=1+Q_1 ], cost: 4+3*k_1 28: start -> f10 : D'=1, [ B>=1+A ], cost: 2 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Accelerating simple loops of location 6. Accelerating the following rules: 72: f53 -> f53 : Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 && M>=1+Q_1 ], cost: 2 73: f53 -> f53 : M'=M+G, Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ H>=1+Q_1 && Q_1>=M && 1+L>=M+G && M+G>=1+Q_1 ], cost: 4 74: f53 -> f53 : L'=L+2*meter_2, M'=M+G, Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ H>=1+Q_1 && Q_1>=M && M+G>=2+L && K>=1+Q && 2*meter_2==-1+M+G-L && meter_2>=1 && M+G>=1+Q_1 ], cost: 4+2*meter_2 75: f53 -> f53 : A1'=free_32, K'=2*Q_1*k_1+K, L'=L+2*k_1, M'=M+G, O'=free_30, Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, Y'=2*Q_1*k_1-2*Q_1+K, Z'=2*Q_1*k_1-Q_1+K, [ H>=1+Q_1 && Q_1>=M && M+G>=2+L && Q>=K && 2*Q_1+K>=1+Q && k_1>0 && M+G>=L+2*k_1 && Q>=2*Q_1*(-1+k_1)+K && 2*Q_1*(-1+k_1)+2*Q_1+K>=1+Q && 1+L+2*k_1>=M+G && M+G>=1+Q_1 ], cost: 4+3*k_1 Found no metering function for rule 72. Found no metering function for rule 73. Found no metering function for rule 74. Found no metering function for rule 75 (rule is too complicated). Removing the simple loops:. Accelerated all simple loops using metering functions (where possible): Start location: start 66: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 ], cost: 2 67: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_20, K'=free_15+K, P'=free_20, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1 && free_12>=2*free_19 && free_19>=free_20 && free_12>=2*free_21 && 3*free_21>=1+free_12 && free_20>=free_21 && free_12>=K && free_20>=free_15 && free_20>=1 && free_15+K>=1+free_12 ], cost: 4 68: f10 -> f53 : E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=1+L+2*meter-K, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_34>=1+L+2*meter-K && free_34>=1 && 1+L+2*meter>=1+free_12 ], cost: 5+2*meter 69: f10 -> f53 : E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=1+L+2*meter-K, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1+L+2*meter-K>=1+free_34 && 1+L+2*meter>=1+free_12 ], cost: 5+2*meter 71: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, P'=free_34, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 ], cost: 2+3*k_3 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 72: f53 -> f53 : Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ H>=1+Q_1 && M>=1+Q_1 ], cost: 2 73: f53 -> f53 : M'=M+G, Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ H>=1+Q_1 && Q_1>=M && 1+L>=M+G && M+G>=1+Q_1 ], cost: 4 74: f53 -> f53 : L'=L+2*meter_2, M'=M+G, Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ H>=1+Q_1 && Q_1>=M && M+G>=2+L && K>=1+Q && 2*meter_2==-1+M+G-L && meter_2>=1 && M+G>=1+Q_1 ], cost: 4+2*meter_2 75: f53 -> f53 : A1'=free_32, K'=2*Q_1*k_1+K, L'=L+2*k_1, M'=M+G, O'=free_30, Q_1'=2*Q_1, R'=2*Q_1, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, Y'=2*Q_1*k_1-2*Q_1+K, Z'=2*Q_1*k_1-Q_1+K, [ H>=1+Q_1 && Q_1>=M && M+G>=2+L && Q>=K && 2*Q_1+K>=1+Q && k_1>0 && M+G>=L+2*k_1 && Q>=2*Q_1*(-1+k_1)+K && 2*Q_1*(-1+k_1)+2*Q_1+K>=1+Q && 1+L+2*k_1>=M+G && M+G>=1+Q_1 ], cost: 4+3*k_1 28: start -> f10 : D'=1, [ B>=1+A ], cost: 2 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Chained accelerated rules (with incoming rules): Start location: start 66: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 ], cost: 2 67: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_20, K'=free_15+K, P'=free_20, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1 && free_12>=2*free_19 && free_19>=free_20 && free_12>=2*free_21 && 3*free_21>=1+free_12 && free_20>=free_21 && free_12>=K && free_20>=free_15 && free_20>=1 && free_15+K>=1+free_12 ], cost: 4 68: f10 -> f53 : E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=1+L+2*meter-K, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_34>=1+L+2*meter-K && free_34>=1 && 1+L+2*meter>=1+free_12 ], cost: 5+2*meter 69: f10 -> f53 : E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=1+L+2*meter-K, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1+L+2*meter-K>=1+free_34 && 1+L+2*meter>=1+free_12 ], cost: 5+2*meter 71: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, P'=free_34, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 ], cost: 2+3*k_3 76: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 && free_12>=1+free_15 && M>=1+free_15 ], cost: 4 77: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_20, K'=free_15+K, P'=free_20, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1 && free_12>=2*free_19 && free_19>=free_20 && free_12>=2*free_21 && 3*free_21>=1+free_12 && free_20>=free_21 && free_12>=K && free_20>=free_15 && free_20>=1 && free_15+K>=1+free_12 && free_12>=1+free_15 && M>=1+free_15 ], cost: 6 78: f10 -> f53 : E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=2+2*L+4*meter-2*K, R'=2+2*L+4*meter-2*K, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_34>=1+L+2*meter-K && free_34>=1 && 1+L+2*meter>=1+free_12 && free_12>=2+L+2*meter-K && M>=2+L+2*meter-K ], cost: 7+2*meter 79: f10 -> f53 : E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=2+2*L+4*meter-2*K, R'=2+2*L+4*meter-2*K, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1+L+2*meter-K>=1+free_34 && 1+L+2*meter>=1+free_12 && free_12>=2+L+2*meter-K && M>=2+L+2*meter-K ], cost: 7+2*meter 80: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, P'=free_34, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 && free_12>=1+free_15 && M>=1+free_15 ], cost: 4+3*k_3 81: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, M'=M+free_15, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 && free_12>=1+free_15 && free_15>=M && 1+L>=M+free_15 && M+free_15>=1+free_15 ], cost: 6 82: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_20, K'=free_15+K, M'=M+free_15, P'=free_20, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1 && free_12>=2*free_19 && free_19>=free_20 && free_12>=2*free_21 && 3*free_21>=1+free_12 && free_20>=free_21 && free_12>=K && free_20>=free_15 && free_20>=1 && free_15+K>=1+free_12 && free_12>=1+free_15 && free_15>=M && 1+L>=M+free_15 && M+free_15>=1+free_15 ], cost: 8 83: f10 -> f53 : E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, M'=M+free_15, P'=free_34, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 && free_12>=1+free_15 && free_15>=M && 1+L>=M+free_15 && M+free_15>=1+free_15 ], cost: 6+3*k_3 84: f10 -> f53 : E'=free_11, F'=free_3, G'=1-M+L+2*meter_2, H'=free_12, Q'=free_14, J'=1, L'=L+2*meter_2, M'=1+L+2*meter_2, Q_1'=2-2*M+2*L+4*meter_2, R'=2-2*M+2*L+4*meter_2, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=1-M+L+2*meter_2 && D>=2*free_8 && 3*free_8>=1+D && 1-M+L+2*meter_2>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 && free_12>=2-M+L+2*meter_2 && 1-M+L+2*meter_2>=M && 1+L+2*meter_2>=2+L && K>=1+free_14 && meter_2>=1 && 1+L+2*meter_2>=2-M+L+2*meter_2 ], cost: 6+2*meter_2 85: f10 -> f53 : E'=free_11, F'=free_3, G'=1-M+L+2*meter_2, H'=free_12, Q'=free_14, J'=1+free_20, K'=1-M+L+2*meter_2+K, L'=L+2*meter_2, M'=1+L+2*meter_2, P'=free_20, Q_1'=2-2*M+2*L+4*meter_2, R'=2-2*M+2*L+4*meter_2, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=1-M+L+2*meter_2 && D>=2*free_8 && 3*free_8>=1+D && 1-M+L+2*meter_2>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1 && free_12>=2*free_19 && free_19>=free_20 && free_12>=2*free_21 && 3*free_21>=1+free_12 && free_20>=free_21 && free_12>=K && free_20>=1-M+L+2*meter_2 && free_20>=1 && 1-M+L+2*meter_2+K>=1+free_12 && free_12>=2-M+L+2*meter_2 && 1-M+L+2*meter_2>=M && 1+L+2*meter_2>=2+L && 1-M+L+2*meter_2+K>=1+free_14 && meter_2>=1 && 1+L+2*meter_2>=2-M+L+2*meter_2 ], cost: 8+2*meter_2 86: f10 -> f53 : E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter+2*meter_2, M'=1+M+L+2*meter-K, P'=free_34, Q_1'=2+2*L+4*meter-2*K, R'=2+2*L+4*meter-2*K, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_34>=1+L+2*meter-K && free_34>=1 && 1+L+2*meter>=1+free_12 && free_12>=2+L+2*meter-K && 1+L+2*meter-K>=M && 1+M+L+2*meter-K>=2+L+2*meter && 1+L+2*meter>=1+free_14 && 2*meter_2==M-K && meter_2>=1 && 1+M+L+2*meter-K>=2+L+2*meter-K ], cost: 9+2*meter+2*meter_2 87: f10 -> f53 : E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter+2*meter_2, M'=1+M+L+2*meter-K, P'=free_34, Q_1'=2+2*L+4*meter-2*K, R'=2+2*L+4*meter-2*K, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1+L+2*meter-K>=1+free_34 && 1+L+2*meter>=1+free_12 && free_12>=2+L+2*meter-K && 1+L+2*meter-K>=M && 1+M+L+2*meter-K>=2+L+2*meter && 1+L+2*meter>=1+free_14 && 2*meter_2==M-K && meter_2>=1 && 1+M+L+2*meter-K>=2+L+2*meter-K ], cost: 9+2*meter+2*meter_2 88: f10 -> f53 : E'=free_11, F'=free_3, G'=1-M+L+2*meter_2, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=-k_3*(-1+M-L-2*meter_2)+K, L'=L+2*meter_2, M'=1+L+2*meter_2, P'=free_34, Q_1'=2-2*M+2*L+4*meter_2, R'=2-2*M+2*L+4*meter_2, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=1-M+L+2*meter_2 && D>=2*free_8 && 3*free_8>=1+D && 1-M+L+2*meter_2>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=1-M+L+2*meter_2+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1-M+L+2*meter_2>=1+free_34 && k_3>0 && free_12>=-(-1+k_3)*(-1+M-L-2*meter_2)+K && 1+free_34*(-1+k_3)>=1-(-1+k_3)*(-1+M-L-2*meter_2)+K && 1+L>=1-(-1+k_3)*(-1+M-L-2*meter_2)-M+L+2*meter_2+K && -k_3*(-1+M-L-2*meter_2)+K>=1+free_12 && free_12>=2-M+L+2*meter_2 && 1-M+L+2*meter_2>=M && 1+L+2*meter_2>=2+L && -k_3*(-1+M-L-2*meter_2)+K>=1+free_14 && meter_2>=1 && 1+L+2*meter_2>=2-M+L+2*meter_2 ], cost: 6+3*k_3+2*meter_2 89: f10 -> f53 : A1'=free_32, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, K'=2*free_15*k_1+K, L'=L+2*k_1, M'=M+free_15, O'=free_30, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, Y'=-2*free_15+2*free_15*k_1+K, Z'=-free_15+2*free_15*k_1+K, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 && free_12>=1+free_15 && free_15>=M && M+free_15>=2+L && free_14>=K && 2*free_15+K>=1+free_14 && k_1>0 && M+free_15>=L+2*k_1 && free_14>=2*free_15*(-1+k_1)+K && 2*free_15+2*free_15*(-1+k_1)+K>=1+free_14 && 1+L+2*k_1>=M+free_15 && M+free_15>=1+free_15 ], cost: 6+3*k_1 90: f10 -> f53 : A1'=free_32, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_20, K'=free_15+2*free_15*k_1+K, L'=L+2*k_1, M'=M+free_15, O'=free_30, P'=free_20, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, Y'=-free_15+2*free_15*k_1+K, Z'=2*free_15*k_1+K, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1 && free_12>=2*free_19 && free_19>=free_20 && free_12>=2*free_21 && 3*free_21>=1+free_12 && free_20>=free_21 && free_12>=K && free_20>=free_15 && free_20>=1 && free_15+K>=1+free_12 && free_12>=1+free_15 && free_15>=M && M+free_15>=2+L && free_14>=free_15+K && 3*free_15+K>=1+free_14 && k_1>0 && M+free_15>=L+2*k_1 && free_14>=free_15+2*free_15*(-1+k_1)+K && 3*free_15+2*free_15*(-1+k_1)+K>=1+free_14 && 1+L+2*k_1>=M+free_15 && M+free_15>=1+free_15 ], cost: 8+3*k_1 91: f10 -> f53 : A1'=free_32, E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter+2*(1+L+2*meter-K)*k_1, L'=L+2*meter+2*k_1, M'=1+M+L+2*meter-K, O'=free_30, P'=free_34, Q_1'=2+2*L+4*meter-2*K, R'=2+2*L+4*meter-2*K, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, Y'=-1-L-2*meter+2*K+2*(1+L+2*meter-K)*k_1, Z'=K+2*(1+L+2*meter-K)*k_1, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_34>=1+L+2*meter-K && free_34>=1 && 1+L+2*meter>=1+free_12 && free_12>=2+L+2*meter-K && 1+L+2*meter-K>=M && 1+M+L+2*meter-K>=2+L+2*meter && free_14>=1+L+2*meter && 3+3*L+6*meter-2*K>=1+free_14 && k_1>0 && 1+M+L+2*meter-K>=L+2*meter+2*k_1 && free_14>=1+L+2*meter+2*(1+L+2*meter-K)*(-1+k_1) && 3+3*L+6*meter-2*K+2*(1+L+2*meter-K)*(-1+k_1)>=1+free_14 && 1+L+2*meter+2*k_1>=1+M+L+2*meter-K && 1+M+L+2*meter-K>=2+L+2*meter-K ], cost: 9+2*meter+3*k_1 92: f10 -> f53 : A1'=free_32, E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter+2*(1+L+2*meter-K)*k_1, L'=L+2*meter+2*k_1, M'=1+M+L+2*meter-K, O'=free_30, P'=free_34, Q_1'=2+2*L+4*meter-2*K, R'=2+2*L+4*meter-2*K, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, Y'=-1-L-2*meter+2*K+2*(1+L+2*meter-K)*k_1, Z'=K+2*(1+L+2*meter-K)*k_1, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1+L+2*meter-K>=1+free_34 && 1+L+2*meter>=1+free_12 && free_12>=2+L+2*meter-K && 1+L+2*meter-K>=M && 1+M+L+2*meter-K>=2+L+2*meter && free_14>=1+L+2*meter && 3+3*L+6*meter-2*K>=1+free_14 && k_1>0 && 1+M+L+2*meter-K>=L+2*meter+2*k_1 && free_14>=1+L+2*meter+2*(1+L+2*meter-K)*(-1+k_1) && 3+3*L+6*meter-2*K+2*(1+L+2*meter-K)*(-1+k_1)>=1+free_14 && 1+L+2*meter+2*k_1>=1+M+L+2*meter-K && 1+M+L+2*meter-K>=2+L+2*meter-K ], cost: 9+2*meter+3*k_1 93: f10 -> f53 : A1'=free_32, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+2*free_15*k_1+K, L'=L+2*k_1, M'=M+free_15, O'=free_30, P'=free_34, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, Y'=free_15*k_3-2*free_15+2*free_15*k_1+K, Z'=free_15*k_3-free_15+2*free_15*k_1+K, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 && free_12>=1+free_15 && free_15>=M && M+free_15>=2+L && free_14>=free_15*k_3+K && free_15*k_3+2*free_15+K>=1+free_14 && k_1>0 && M+free_15>=L+2*k_1 && free_14>=free_15*k_3+2*free_15*(-1+k_1)+K && free_15*k_3+2*free_15+2*free_15*(-1+k_1)+K>=1+free_14 && 1+L+2*k_1>=M+free_15 && M+free_15>=1+free_15 ], cost: 6+3*k_3+3*k_1 14: f53 -> f10 : B'=-1+B, D'=E*D, [ Q_1>=H ], cost: 1 28: start -> f10 : D'=1, [ B>=1+A ], cost: 2 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Eliminated locations (on tree-shaped paths): Start location: start 94: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 && free_15>=free_12 ], cost: 3 95: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=1+L+2*meter-K, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_34>=1+L+2*meter-K && free_34>=1 && 1+L+2*meter>=1+free_12 && 1+L+2*meter-K>=free_12 ], cost: 6+2*meter 96: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=1+L+2*meter-K, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1+L+2*meter-K>=1+free_34 && 1+L+2*meter>=1+free_12 && 1+L+2*meter-K>=free_12 ], cost: 6+2*meter 97: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, P'=free_34, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 && free_15>=free_12 ], cost: 3+3*k_3 98: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 && free_12>=1+free_15 && M>=1+free_15 && 2*free_15>=free_12 ], cost: 5 99: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_20, K'=free_15+K, P'=free_20, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1 && free_12>=2*free_19 && free_19>=free_20 && free_12>=2*free_21 && 3*free_21>=1+free_12 && free_20>=free_21 && free_12>=K && free_20>=free_15 && free_20>=1 && free_15+K>=1+free_12 && free_12>=1+free_15 && M>=1+free_15 && 2*free_15>=free_12 ], cost: 7 100: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=2+2*L+4*meter-2*K, R'=2+2*L+4*meter-2*K, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_34>=1+L+2*meter-K && free_34>=1 && 1+L+2*meter>=1+free_12 && free_12>=2+L+2*meter-K && M>=2+L+2*meter-K && 2+2*L+4*meter-2*K>=free_12 ], cost: 8+2*meter 101: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=2+2*L+4*meter-2*K, R'=2+2*L+4*meter-2*K, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1+L+2*meter-K>=1+free_34 && 1+L+2*meter>=1+free_12 && free_12>=2+L+2*meter-K && M>=2+L+2*meter-K && 2+2*L+4*meter-2*K>=free_12 ], cost: 8+2*meter 102: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, P'=free_34, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 && free_12>=1+free_15 && M>=1+free_15 && 2*free_15>=free_12 ], cost: 5+3*k_3 103: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, M'=M+free_15, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 && free_12>=1+free_15 && free_15>=M && 1+L>=M+free_15 && M+free_15>=1+free_15 && 2*free_15>=free_12 ], cost: 7 104: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_20, K'=free_15+K, M'=M+free_15, P'=free_20, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1 && free_12>=2*free_19 && free_19>=free_20 && free_12>=2*free_21 && 3*free_21>=1+free_12 && free_20>=free_21 && free_12>=K && free_20>=free_15 && free_20>=1 && free_15+K>=1+free_12 && free_12>=1+free_15 && free_15>=M && 1+L>=M+free_15 && M+free_15>=1+free_15 && 2*free_15>=free_12 ], cost: 9 105: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, M'=M+free_15, P'=free_34, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 && free_12>=1+free_15 && free_15>=M && 1+L>=M+free_15 && M+free_15>=1+free_15 && 2*free_15>=free_12 ], cost: 7+3*k_3 106: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=1-M+L+2*meter_2, H'=free_12, Q'=free_14, J'=1, L'=L+2*meter_2, M'=1+L+2*meter_2, Q_1'=2-2*M+2*L+4*meter_2, R'=2-2*M+2*L+4*meter_2, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=1-M+L+2*meter_2 && D>=2*free_8 && 3*free_8>=1+D && 1-M+L+2*meter_2>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 && free_12>=2-M+L+2*meter_2 && 1-M+L+2*meter_2>=M && 1+L+2*meter_2>=2+L && K>=1+free_14 && meter_2>=1 && 1+L+2*meter_2>=2-M+L+2*meter_2 && 2-2*M+2*L+4*meter_2>=free_12 ], cost: 7+2*meter_2 107: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=1-M+L+2*meter_2, H'=free_12, Q'=free_14, J'=1+free_20, K'=1-M+L+2*meter_2+K, L'=L+2*meter_2, M'=1+L+2*meter_2, P'=free_20, Q_1'=2-2*M+2*L+4*meter_2, R'=2-2*M+2*L+4*meter_2, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=1-M+L+2*meter_2 && D>=2*free_8 && 3*free_8>=1+D && 1-M+L+2*meter_2>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1 && free_12>=2*free_19 && free_19>=free_20 && free_12>=2*free_21 && 3*free_21>=1+free_12 && free_20>=free_21 && free_12>=K && free_20>=1-M+L+2*meter_2 && free_20>=1 && 1-M+L+2*meter_2+K>=1+free_12 && free_12>=2-M+L+2*meter_2 && 1-M+L+2*meter_2>=M && 1+L+2*meter_2>=2+L && 1-M+L+2*meter_2+K>=1+free_14 && meter_2>=1 && 1+L+2*meter_2>=2-M+L+2*meter_2 && 2-2*M+2*L+4*meter_2>=free_12 ], cost: 9+2*meter_2 108: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter+2*meter_2, M'=1+M+L+2*meter-K, P'=free_34, Q_1'=2+2*L+4*meter-2*K, R'=2+2*L+4*meter-2*K, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_34>=1+L+2*meter-K && free_34>=1 && 1+L+2*meter>=1+free_12 && free_12>=2+L+2*meter-K && 1+L+2*meter-K>=M && 1+M+L+2*meter-K>=2+L+2*meter && 1+L+2*meter>=1+free_14 && 2*meter_2==M-K && meter_2>=1 && 1+M+L+2*meter-K>=2+L+2*meter-K && 2+2*L+4*meter-2*K>=free_12 ], cost: 10+2*meter+2*meter_2 109: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter+2*meter_2, M'=1+M+L+2*meter-K, P'=free_34, Q_1'=2+2*L+4*meter-2*K, R'=2+2*L+4*meter-2*K, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1+L+2*meter-K>=1+free_34 && 1+L+2*meter>=1+free_12 && free_12>=2+L+2*meter-K && 1+L+2*meter-K>=M && 1+M+L+2*meter-K>=2+L+2*meter && 1+L+2*meter>=1+free_14 && 2*meter_2==M-K && meter_2>=1 && 1+M+L+2*meter-K>=2+L+2*meter-K && 2+2*L+4*meter-2*K>=free_12 ], cost: 10+2*meter+2*meter_2 110: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=1-M+L+2*meter_2, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=-k_3*(-1+M-L-2*meter_2)+K, L'=L+2*meter_2, M'=1+L+2*meter_2, P'=free_34, Q_1'=2-2*M+2*L+4*meter_2, R'=2-2*M+2*L+4*meter_2, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=1-M+L+2*meter_2 && D>=2*free_8 && 3*free_8>=1+D && 1-M+L+2*meter_2>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=1-M+L+2*meter_2+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1-M+L+2*meter_2>=1+free_34 && k_3>0 && free_12>=-(-1+k_3)*(-1+M-L-2*meter_2)+K && 1+free_34*(-1+k_3)>=1-(-1+k_3)*(-1+M-L-2*meter_2)+K && 1+L>=1-(-1+k_3)*(-1+M-L-2*meter_2)-M+L+2*meter_2+K && -k_3*(-1+M-L-2*meter_2)+K>=1+free_12 && free_12>=2-M+L+2*meter_2 && 1-M+L+2*meter_2>=M && 1+L+2*meter_2>=2+L && -k_3*(-1+M-L-2*meter_2)+K>=1+free_14 && meter_2>=1 && 1+L+2*meter_2>=2-M+L+2*meter_2 && 2-2*M+2*L+4*meter_2>=free_12 ], cost: 7+3*k_3+2*meter_2 111: f10 -> f10 : A1'=free_32, B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, K'=2*free_15*k_1+K, L'=L+2*k_1, M'=M+free_15, O'=free_30, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, Y'=-2*free_15+2*free_15*k_1+K, Z'=-free_15+2*free_15*k_1+K, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 && free_12>=1+free_15 && free_15>=M && M+free_15>=2+L && free_14>=K && 2*free_15+K>=1+free_14 && k_1>0 && M+free_15>=L+2*k_1 && free_14>=2*free_15*(-1+k_1)+K && 2*free_15+2*free_15*(-1+k_1)+K>=1+free_14 && 1+L+2*k_1>=M+free_15 && M+free_15>=1+free_15 && 2*free_15>=free_12 ], cost: 7+3*k_1 112: f10 -> f10 : A1'=free_32, B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_20, K'=free_15+2*free_15*k_1+K, L'=L+2*k_1, M'=M+free_15, O'=free_30, P'=free_20, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, Y'=-free_15+2*free_15*k_1+K, Z'=2*free_15*k_1+K, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1 && free_12>=2*free_19 && free_19>=free_20 && free_12>=2*free_21 && 3*free_21>=1+free_12 && free_20>=free_21 && free_12>=K && free_20>=free_15 && free_20>=1 && free_15+K>=1+free_12 && free_12>=1+free_15 && free_15>=M && M+free_15>=2+L && free_14>=free_15+K && 3*free_15+K>=1+free_14 && k_1>0 && M+free_15>=L+2*k_1 && free_14>=free_15+2*free_15*(-1+k_1)+K && 3*free_15+2*free_15*(-1+k_1)+K>=1+free_14 && 1+L+2*k_1>=M+free_15 && M+free_15>=1+free_15 && 2*free_15>=free_12 ], cost: 9+3*k_1 113: f10 -> f10 : A1'=free_32, B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter+2*(1+L+2*meter-K)*k_1, L'=L+2*meter+2*k_1, M'=1+M+L+2*meter-K, O'=free_30, P'=free_34, Q_1'=2+2*L+4*meter-2*K, R'=2+2*L+4*meter-2*K, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, Y'=-1-L-2*meter+2*K+2*(1+L+2*meter-K)*k_1, Z'=K+2*(1+L+2*meter-K)*k_1, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_34>=1+L+2*meter-K && free_34>=1 && 1+L+2*meter>=1+free_12 && free_12>=2+L+2*meter-K && 1+L+2*meter-K>=M && 1+M+L+2*meter-K>=2+L+2*meter && free_14>=1+L+2*meter && 3+3*L+6*meter-2*K>=1+free_14 && k_1>0 && 1+M+L+2*meter-K>=L+2*meter+2*k_1 && free_14>=1+L+2*meter+2*(1+L+2*meter-K)*(-1+k_1) && 3+3*L+6*meter-2*K+2*(1+L+2*meter-K)*(-1+k_1)>=1+free_14 && 1+L+2*meter+2*k_1>=1+M+L+2*meter-K && 1+M+L+2*meter-K>=2+L+2*meter-K && 2+2*L+4*meter-2*K>=free_12 ], cost: 10+2*meter+3*k_1 114: f10 -> f10 : A1'=free_32, B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter+2*(1+L+2*meter-K)*k_1, L'=L+2*meter+2*k_1, M'=1+M+L+2*meter-K, O'=free_30, P'=free_34, Q_1'=2+2*L+4*meter-2*K, R'=2+2*L+4*meter-2*K, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, Y'=-1-L-2*meter+2*K+2*(1+L+2*meter-K)*k_1, Z'=K+2*(1+L+2*meter-K)*k_1, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1+L+2*meter-K>=1+free_34 && 1+L+2*meter>=1+free_12 && free_12>=2+L+2*meter-K && 1+L+2*meter-K>=M && 1+M+L+2*meter-K>=2+L+2*meter && free_14>=1+L+2*meter && 3+3*L+6*meter-2*K>=1+free_14 && k_1>0 && 1+M+L+2*meter-K>=L+2*meter+2*k_1 && free_14>=1+L+2*meter+2*(1+L+2*meter-K)*(-1+k_1) && 3+3*L+6*meter-2*K+2*(1+L+2*meter-K)*(-1+k_1)>=1+free_14 && 1+L+2*meter+2*k_1>=1+M+L+2*meter-K && 1+M+L+2*meter-K>=2+L+2*meter-K && 2+2*L+4*meter-2*K>=free_12 ], cost: 10+2*meter+3*k_1 115: f10 -> f10 : A1'=free_32, B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+2*free_15*k_1+K, L'=L+2*k_1, M'=M+free_15, O'=free_30, P'=free_34, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, Y'=free_15*k_3-2*free_15+2*free_15*k_1+K, Z'=free_15*k_3-free_15+2*free_15*k_1+K, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 && free_12>=1+free_15 && free_15>=M && M+free_15>=2+L && free_14>=free_15*k_3+K && free_15*k_3+2*free_15+K>=1+free_14 && k_1>0 && M+free_15>=L+2*k_1 && free_14>=free_15*k_3+2*free_15*(-1+k_1)+K && free_15*k_3+2*free_15+2*free_15*(-1+k_1)+K>=1+free_14 && 1+L+2*k_1>=M+free_15 && M+free_15>=1+free_15 && 2*free_15>=free_12 ], cost: 7+3*k_3+3*k_1 28: start -> f10 : D'=1, [ B>=1+A ], cost: 2 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Applied pruning (of leafs and parallel rules): Start location: start 94: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 && free_15>=free_12 ], cost: 3 95: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=1+L+2*meter-K, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_34>=1+L+2*meter-K && free_34>=1 && 1+L+2*meter>=1+free_12 && 1+L+2*meter-K>=free_12 ], cost: 6+2*meter 97: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, P'=free_34, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 && free_15>=free_12 ], cost: 3+3*k_3 101: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=2+2*L+4*meter-2*K, R'=2+2*L+4*meter-2*K, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1+L+2*meter-K>=1+free_34 && 1+L+2*meter>=1+free_12 && free_12>=2+L+2*meter-K && M>=2+L+2*meter-K && 2+2*L+4*meter-2*K>=free_12 ], cost: 8+2*meter 105: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, M'=M+free_15, P'=free_34, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 && free_12>=1+free_15 && free_15>=M && 1+L>=M+free_15 && M+free_15>=1+free_15 && 2*free_15>=free_12 ], cost: 7+3*k_3 28: start -> f10 : D'=1, [ B>=1+A ], cost: 2 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Accelerating simple loops of location 1. Accelerating the following rules: 94: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 && free_15>=free_12 ], cost: 3 95: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=1+L+2*meter-K, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_34>=1+L+2*meter-K && free_34>=1 && 1+L+2*meter>=1+free_12 && 1+L+2*meter-K>=free_12 ], cost: 6+2*meter 97: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, P'=free_34, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 && free_15>=free_12 ], cost: 3+3*k_3 101: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=1+L+2*meter-K, H'=free_12, Q'=free_14, J'=1+free_34, K'=1+L+2*meter, L'=L+2*meter, P'=free_34, Q_1'=2+2*L+4*meter-2*K, R'=2+2*L+4*meter-2*K, S'=free_26, T'=free_25, U'=free_28, V'=free_27, W'=1, X'=0, [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1+L+2*meter-K>=1+free_34 && 1+L+2*meter>=1+free_12 && free_12>=2+L+2*meter-K && M>=2+L+2*meter-K && 2+2*L+4*meter-2*K>=free_12 ], cost: 8+2*meter 105: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, M'=M+free_15, P'=free_34, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 && free_12>=1+free_15 && free_15>=M && 1+L>=M+free_15 && M+free_15>=1+free_15 && 2*free_15>=free_12 ], cost: 7+3*k_3 Found no metering function for rule 94 (rule is too complicated). Accelerated rule 95 with NONTERM, yielding the new rule 116. Found no metering function for rule 97 (rule is too complicated). Accelerated rule 101 with NONTERM, yielding the new rule 117. Found no metering function for rule 105 (rule is too complicated). Removing the simple loops: 95 101. Accelerated all simple loops using metering functions (where possible): Start location: start 94: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && K>=1+free_12 && free_15>=free_12 ], cost: 3 97: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, P'=free_34, Q_1'=free_15, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 && free_15>=free_12 ], cost: 3+3*k_3 105: f10 -> f10 : B'=-1+B, D'=D*free_11, E'=free_11, F'=free_3, G'=free_15, H'=free_12, Q'=free_14, J'=1+free_34*k_3, K'=free_15*k_3+K, M'=M+free_15, P'=free_34, Q_1'=2*free_15, R'=2*free_15, S'=free_26, T'=1, U'=free_28, V'=free_27, W'=1+free_28, X'=free_27, [ D>=2*free_5 && free_5>=free_15 && D>=2*free_8 && 3*free_8>=1+D && free_15>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L>=free_15+K && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_15>=1+free_34 && k_3>0 && free_12>=K+free_15*(-1+k_3) && 1+free_34*(-1+k_3)>=1+K+free_15*(-1+k_3) && 1+L>=free_15+K+free_15*(-1+k_3) && free_15*k_3+K>=1+free_12 && free_12>=1+free_15 && free_15>=M && 1+L>=M+free_15 && M+free_15>=1+free_15 && 2*free_15>=free_12 ], cost: 7+3*k_3 116: f10 -> [21] : [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && free_34>=1+L+2*meter-K && free_34>=1 && 1+L+2*meter>=1+free_12 && 1+L+2*meter-K>=free_12 ], cost: INF 117: f10 -> [21] : [ D>=2*free_5 && free_5>=1+L+2*meter-K && D>=2*free_8 && 3*free_8>=1+D && 1+L+2*meter-K>=free_8 && D*free_11>=2*free_2*free_11 && free_2+2*free_2*free_11>=1+D*free_11 && free_2>=free_12 && D*free_11>=2*free_6*free_11 && 2*free_6*free_11+free_6>=1+D*free_11 && free_12>=free_6 && C>=D*free_11*free_17 && D*free_11*free_17+free_17>=1+C && C>=D*free_10*free_11 && free_10+D*free_10*free_11>=1+C && D*free_11*free_17>=2*free_10*free_4*free_11 && 2*free_10*free_4*free_11+free_4>=1+D*free_11*free_17 && free_4>=free_14 && C>=D*free_7*free_11 && D*free_7*free_11+free_7>=1+C && C>=D*free_1*free_11 && free_1+D*free_1*free_11>=1+C && D*free_7*free_11>=2*free_16*free_1*free_11 && free_16+2*free_16*free_1*free_11>=1+D*free_7*free_11 && free_14>=free_16 && B>=1 && C>=free_9*D*free_11 && free_9+free_9*D*free_11>=1+C && free_9>=free_3 && C>=free_13*D*free_11 && free_13+free_13*D*free_11>=1+C && free_3>=free_13 && free_12>=K && 1>=1+K && 1+L+2*meter>=2+L && M>=1+free_14 && meter>=1 && free_12>=2*free_33 && 3*free_33>=1+free_12 && free_33>=free_34 && free_12>=2*free_35 && 3*free_35>=1+free_12 && free_34>=free_35 && 1+L+2*meter-K>=1+free_34 && 1+L+2*meter>=1+free_12 && free_12>=2+L+2*meter-K && M>=2+L+2*meter-K && 2+2*L+4*meter-2*K>=free_12 ], cost: INF 28: start -> f10 : D'=1, [ B>=1+A ], cost: 2 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Chained accelerated rules (with incoming rules): Start location: start 28: start -> f10 : D'=1, [ B>=1+A ], cost: 2 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Removed unreachable locations (and leaf rules with constant cost): Start location: start 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: start 29: start -> f10 : B'=1+A, C'=free^(1-B+A)*C, D'=1, [ A>=B ], cost: 3-B+A Computing asymptotic complexity for rule 29 Solved the limit problem by the following transformations: Created initial limit problem: 1-B+A (+/+!), 3-B+A (+) [not solved] removing all constraints (solved by SMT) resulting limit problem: [solved] applying transformation rule (C) using substitution {B==0,A==n} resulting limit problem: [solved] Solution: B / 0 A / n Resulting cost 3+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: 3+n Rule cost: 3-B+A Rule guard: [ A>=B ] WORST_CASE(Omega(n^1),?) ---------------------------------------- (4) BOUNDS(n^1, INF)