/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 2481 ms] (2) BOUNDS(1, n^1) (3) Loat Proof [FINISHED, 10.7 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(f13(A, 0, 0, 2 * A, 4 * A, 4 * A + 3, 4 * A + 4, A, C1, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: 1 >= A * B1 && A * B1 + B1 >= 2 && C1 >= B1 && 1 >= A * D1 && A * D1 + D1 >= 2 && D1 >= C1 f13(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f13(A, B, C, D, E, F, G, H, I, J + 1, 1, 0, 0, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: D >= J f13(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f13(A, B + 1 - 2 * C1 + C1 * C1, C, D, E, F, G, H, I, J + 1, C1, 1 - C1, 1 - 2 * C1 + C1 * C1, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: C1 >= 2 && D >= J f13(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f13(A, B + 1 - 2 * C1 + C1 * C1, C, D, E, F, G, H, I, J + 1, C1, 1 - C1, 1 - 2 * C1 + C1 * C1, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: 0 >= C1 && D >= J f24(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(f24(A, B, C, D, E, F, G, H, I, J + 1, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: A >= J f31(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(f31(A, B, C, D, E, F, G, H, I, J + 1, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: A >= J f37(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(f40(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)) :|: N >= O f40(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(f44(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 >= P + 1 && 0 >= Q f40(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(f44(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)) :|: P >= 1 && 0 >= Q f44(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(f44(A, B, C, D, E, F, G, H, I, J + 1, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: A >= J f50(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f50(A, B, C, D, E, F, G, H, I, J + 1, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: A >= J f57(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(f57(A, B, C, D, E, F, G, H, I, J + 1, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: A >= J f40(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(f64(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, 0, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: 0 >= Q && P >= 0 && P <= 0 f64(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(f64(A, B, C, D, E, F, G, H, I, J + 2, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: E >= J f71(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(f71(A, B, C, D, E, F, G, H, I, J + 1, K, L, M, N, O, P, Q, 2 * J, C1, 1 - C1, U, V, W, X, Y, Z, A1)) :|: D >= J f86(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(f91(A, B, C, D, E, F, G, H, I, J, K, 0, M, N, O, P, Q, R, S, T, 0, V, W, X, Y, Z, A1)) :|: L >= 0 && L <= 0 f86(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(f91(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, L * L, V, W, X, Y, Z, A1)) :|: 0 >= L + 1 f86(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(f91(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, L * L, V, W, X, Y, Z, A1)) :|: L >= 1 f91(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(f99(A, B, C, D, E, F, G, H, I, J, K, C1, M, N, O, P, Q, 2 * J, S, T, U, 0, W, X, Y, Z, A1)) :|: A >= J f91(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(f99(A, B, C, D, E, F, G, H, I, J, K, C1, M, N, O, P, Q, 2 * J, S, T, U, B1 * B1, W, X, Y, Z, A1)) :|: 0 >= B1 + 1 && A >= J f91(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(f99(A, B, C, D, E, F, G, H, I, J, K, C1, M, N, O, P, Q, 2 * J, S, T, U, B1 * B1, W, X, Y, Z, A1)) :|: B1 >= 1 && A >= J f99(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(f103(A, B, C, D, E, F, G, H, I, J, K, C1, M, N, O, P, Q, R, S, T, U, V, 0, X, Y, Z, A1)) :|: L >= 0 && L <= 0 f99(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(f103(A, B, C, D, E, F, G, H, I, J, K, C1, M, N, O, P, Q, R, S, T, U, V, L * L, X, Y, Z, A1)) :|: 0 >= L + 1 f99(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(f103(A, B, C, D, E, F, G, H, I, J, K, C1, M, N, O, P, Q, R, S, T, U, V, L * L, X, Y, Z, A1)) :|: L >= 1 f103(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(f107(A, B, C, D, E, F, G, H, I, J, K, C1, M, N, O, P, Q, R, S, T, U, V, W, 0, Y, Z, A1)) :|: L >= 0 && L <= 0 f103(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(f107(A, B, C, D, E, F, G, H, I, J, K, C1, M, N, O, P, Q, R, S, T, U, V, W, L * L, Y, Z, A1)) :|: 0 >= L + 1 f103(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(f107(A, B, C, D, E, F, G, H, I, J, K, C1, M, N, O, P, Q, R, S, T, U, V, W, L * L, Y, Z, A1)) :|: L >= 1 f107(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(f91(A, B, C, D, E, F, G, H, I, J + 1, K, 0, M, N, O, P, Q, R, S, T, U, V, W, X, 0, Z, A1)) :|: L >= 0 && L <= 0 f107(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(f91(A, B, C, D, E, F, G, H, I, J + 1, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, L * L, Z, A1)) :|: 0 >= L + 1 f107(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(f91(A, B, C, D, E, F, G, H, I, J + 1, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, L * L, Z, A1)) :|: L >= 1 f118(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(f118(A, B, C, D, E, F, G, H, I, J + 1, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: A >= J f118(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)) :|: J >= 1 + A f91(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(f37(A, B, C + B, D, E, F, G, H, I, J, K, L, M, N, O + 1, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: J >= 1 + A f71(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(f86(A, B, C, D, E, F, G, H, I, J, K, C1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, 0, A1)) :|: J >= 1 + D f71(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(f86(A, B, C, D, E, F, G, H, I, J, K, C1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, B1 * B1, A1)) :|: 0 >= B1 + 1 && J >= 1 + D f71(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(f86(A, B, C, D, E, F, G, H, I, J, K, C1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, B1 * B1, A1)) :|: B1 >= 1 && J >= 1 + D f64(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(f40(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q + 1, R, S, T, U, V, W, X, Y, Z, A1)) :|: J >= 1 + E f57(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(f40(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q + 1, R, S, T, U, V, W, X, Y, Z, A1)) :|: J >= 1 + A f50(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f57(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, Q + D)) :|: J >= 1 + A f44(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(f50(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: J >= 1 + A f40(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(f71(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 >= 1 f37(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(f118(A, B, C * E, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: O >= 1 + N f31(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(f37(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)) :|: J >= 1 + A f24(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(f31(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 >= P + 1 && J >= 1 + A f24(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(f31(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)) :|: P >= 1 && J >= 1 + A f24(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(f37(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, 0, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: J >= 1 + A && P >= 0 && P <= 0 f13(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1) -> Com_1(f24(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)) :|: J >= 1 + D The start-symbols are:[f2_27] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 375*Ar_0 + 278*Ar_9 + 23*Ar_13 + 23*Ar_14 + 76*Ar_16 + 413) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f13(Ar_0, 0, 0, 2*Ar_0, 4*Ar_0, 4*Ar_0 + 3, 4*Ar_0 + 4, Ar_0, Fresh_19, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ 1 >= Ar_0*B1 /\ Ar_0*B1 + B1 >= 2 /\ Fresh_19 >= B1 /\ 1 >= Ar_0*D1 /\ Ar_0*D1 + D1 >= 2 /\ D1 >= Fresh_19 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9 + 1, 1, 0, 0, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f13(Ar_0, Ar_1 - 2*Fresh_18 + Fresh_18^2 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9 + 1, Fresh_18, -Fresh_18 + 1, -2*Fresh_18 + Fresh_18^2 + 1, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Fresh_18 >= 2 /\ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f13(Ar_0, Ar_1 - 2*Fresh_17 + Fresh_17^2 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9 + 1, Fresh_17, -Fresh_17 + 1, -2*Fresh_17 + Fresh_17^2 + 1, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ 0 >= Fresh_17 /\ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9 + 1, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9 + 1, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f37(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_13 >= Ar_14 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ 0 >= Ar_15 + 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_15 >= 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f44(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9 + 1, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9 + 1, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f57(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f57(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9 + 1, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f64(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, 0, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ 0 >= Ar_16 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f64(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9 + 2, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_4 >= Ar_9 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9 + 1, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, 2*Ar_9, Fresh_16, -Fresh_16 + 1, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f91(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, 0, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, 0, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f91(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_11^2, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f91(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_11^2, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f99(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Fresh_15, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, 2*Ar_9, Ar_18, Ar_19, Ar_20, 0, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f99(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Fresh_13, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, 2*Ar_9, Ar_18, Ar_19, Ar_20, Fresh_14^2, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ 0 >= Fresh_14 + 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f99(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Fresh_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, 2*Ar_9, Ar_18, Ar_19, Ar_20, Fresh_12^2, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Fresh_12 >= 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f103(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Fresh_10, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, 0, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f103(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Fresh_9, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_11^2, Ar_23, Ar_24, Ar_25, Ar_26)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f103(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Fresh_8, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_11^2, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f107(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Fresh_7, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, 0, Ar_24, Ar_25, Ar_26)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f107(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Fresh_6, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_11^2, Ar_24, Ar_25, Ar_26)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f107(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Fresh_5, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_11^2, Ar_24, Ar_25, Ar_26)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f107(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f91(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9 + 1, Ar_10, 0, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, 0, Ar_25, Ar_26)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f107(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f91(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9 + 1, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_11^2, Ar_25, Ar_26)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f107(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f91(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9 + 1, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_11^2, Ar_25, Ar_26)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f118(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f118(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9 + 1, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f118(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f37(Ar_0, Ar_1, Ar_2 + Ar_1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14 + 1, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f86(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Fresh_4, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, 0, Ar_26)) [ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f86(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Fresh_2, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Fresh_3^2, Ar_26)) [ 0 >= Fresh_3 + 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f86(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Fresh_0, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Fresh_1^2, Ar_26)) [ Fresh_1 >= 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16 + 1, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_9 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f57(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16 + 1, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f57(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_16 + Ar_3)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f44(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f50(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_16 >= 1 ] (Comp: ?, Cost: 1) f37(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f118(Ar_0, Ar_1, Ar_2*Ar_4, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_14 >= Ar_13 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f37(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ 0 >= Ar_15 + 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f31(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_15 >= 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f37(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, 0, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_9 >= Ar_0 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_9 >= Ar_3 + 1 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Slicing away variables that do not contribute to conditions from problem 1 leaves variables [Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16]. We thus obtain the following problem: 2: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ Ar_9 >= Ar_0 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_14 >= Ar_13 + 1 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_16 >= 1 ] (Comp: ?, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_1 >= 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_2, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_3 + 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_4, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14 + 1, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f1(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_5, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_6, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_7, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_8, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_9, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_10, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_12 >= 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_13, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_14 + 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_15, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9 + 2, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_4 >= Ar_9 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ 0 >= Ar_16 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f57(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f50(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_13 >= Ar_14 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_17 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_17 /\ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_18 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_18 >= 2 /\ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, 2*Ar_0, 4*Ar_0, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 1 >= Ar_0*B1 /\ Ar_0*B1 + B1 >= 2 /\ Fresh_19 >= B1 /\ 1 >= Ar_0*D1 /\ Ar_0*D1 + D1 >= 2 /\ D1 >= Fresh_19 ] start location: koat_start leaf cost: 0 Testing for reachability in the complexity graph removes the following transitions from problem 2: f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f57(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f50(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] We thus obtain the following problem: 3: T: (Comp: ?, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_7, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_6, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_5, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_10, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_9, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_8, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_15, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_13, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_14 + 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_12 >= 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14 + 1, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9 + 2, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_4 >= Ar_9 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_4, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_2, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_3 + 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_1 >= 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ 0 >= Ar_16 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_16 >= 1 ] (Comp: ?, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f1(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_13 >= Ar_14 ] (Comp: ?, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_14 >= Ar_13 + 1 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ Ar_9 >= Ar_0 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_18 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_18 >= 2 /\ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_17 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_17 /\ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, 2*Ar_0, 4*Ar_0, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 1 >= Ar_0*B1 /\ Ar_0*B1 + B1 >= 2 /\ Fresh_19 >= B1 /\ 1 >= Ar_0*D1 /\ Ar_0*D1 + D1 >= 2 /\ D1 >= Fresh_19 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 3 produces the following problem: 4: T: (Comp: ?, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_7, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_6, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_5, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_10, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_9, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_8, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_15, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_13, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_14 + 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_12 >= 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14 + 1, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9 + 2, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_4 >= Ar_9 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_4, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_2, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_3 + 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_1 >= 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ 0 >= Ar_16 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_16 >= 1 ] (Comp: ?, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f1(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_13 >= Ar_14 ] (Comp: ?, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_14 >= Ar_13 + 1 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ Ar_9 >= Ar_0 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_18 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_18 >= 2 /\ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_17 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_17 /\ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, 2*Ar_0, 4*Ar_0, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 1 >= Ar_0*B1 /\ Ar_0*B1 + B1 >= 2 /\ Fresh_19 >= B1 /\ 1 >= Ar_0*D1 /\ Ar_0*D1 + D1 >= 2 /\ D1 >= Fresh_19 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f107) = 2 Pol(f91) = 2 Pol(f103) = 2 Pol(f99) = 2 Pol(f37) = 2 Pol(f57) = 2 Pol(f40) = 2 Pol(f86) = 2 Pol(f50) = 2 Pol(f44) = 2 Pol(f64) = 2 Pol(f71) = 2 Pol(f118) = 1 Pol(f1) = 0 Pol(f31) = 3 Pol(f24) = 4 Pol(f13) = 5 Pol(f2) = 5 Pol(koat_start) = 5 orients all transitions weakly and the transitions f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_14 >= Ar_13 + 1 ] f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ Ar_9 >= Ar_0 + 1 /\ Ar_15 = 0 ] f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ Ar_9 >= Ar_0 + 1 ] f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ Ar_9 >= Ar_0 + 1 ] f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f1(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] strictly and produces the following problem: 5: T: (Comp: ?, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_7, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_6, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_5, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_10, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_9, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_8, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_15, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_13, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_14 + 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_12 >= 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14 + 1, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9 + 2, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_4 >= Ar_9 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_4, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_2, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_3 + 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_1 >= 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ 0 >= Ar_16 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_16 >= 1 ] (Comp: ?, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f1(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_13 >= Ar_14 ] (Comp: 5, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_14 >= Ar_13 + 1 ] (Comp: ?, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ Ar_9 >= Ar_0 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_18 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_18 >= 2 /\ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_17 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_17 /\ Ar_3 >= Ar_9 ] (Comp: 5, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, 2*Ar_0, 4*Ar_0, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 1 >= Ar_0*B1 /\ Ar_0*B1 + B1 >= 2 /\ Fresh_19 >= B1 /\ 1 >= Ar_0*D1 /\ Ar_0*D1 + D1 >= 2 /\ D1 >= Fresh_19 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f107) = V_1 - V_4 Pol(f91) = V_1 - V_4 + 1 Pol(f103) = V_1 - V_4 Pol(f99) = V_1 - V_4 Pol(f37) = V_1 - V_4 + 1 Pol(f57) = V_1 - V_4 + 1 Pol(f40) = V_1 - V_4 + 1 Pol(f86) = V_1 - V_4 + 1 Pol(f50) = V_1 - V_4 + 1 Pol(f44) = V_1 - V_4 + 1 Pol(f64) = V_1 - V_4 + 1 Pol(f71) = V_1 - V_4 + 1 Pol(f118) = V_1 - V_4 + 1 Pol(f1) = V_1 - V_4 Pol(f31) = V_1 - V_4 + 1 Pol(f24) = V_1 - V_4 + 1 Pol(f13) = V_1 - V_4 + 1 Pol(f2) = V_1 - V_4 + 1 Pol(koat_start) = V_1 - V_4 + 1 orients all transitions weakly and the transitions f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_15, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_13, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_14 + 1 /\ Ar_0 >= Ar_9 ] f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_12 >= 1 /\ Ar_0 >= Ar_9 ] f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] strictly and produces the following problem: 6: T: (Comp: ?, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_7, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_6, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_5, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_10, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_9, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_8, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_15, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_13, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_14 + 1 /\ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_12 >= 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14 + 1, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9 + 2, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_4 >= Ar_9 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_4, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_2, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_3 + 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_1 >= 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ 0 >= Ar_16 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_16 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f1(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_13 >= Ar_14 ] (Comp: 5, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_14 >= Ar_13 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ Ar_9 >= Ar_0 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_18 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_18 >= 2 /\ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_17 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_17 /\ Ar_3 >= Ar_9 ] (Comp: 5, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, 2*Ar_0, 4*Ar_0, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 1 >= Ar_0*B1 /\ Ar_0*B1 + B1 >= 2 /\ Fresh_19 >= B1 /\ 1 >= Ar_0*D1 /\ Ar_0*D1 + D1 >= 2 /\ D1 >= Fresh_19 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 6 produces the following problem: 7: T: (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_7, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_6, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_5, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_10, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_9, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_8, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_15, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_13, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_14 + 1 /\ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_12 >= 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14 + 1, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9 + 2, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_4 >= Ar_9 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_4, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_2, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_3 + 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_1 >= 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ 0 >= Ar_16 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_16 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f1(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_13 >= Ar_14 ] (Comp: 5, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_14 >= Ar_13 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ Ar_9 >= Ar_0 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_18 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_18 >= 2 /\ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_17 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_17 /\ Ar_3 >= Ar_9 ] (Comp: 5, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, 2*Ar_0, 4*Ar_0, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 1 >= Ar_0*B1 /\ Ar_0*B1 + B1 >= 2 /\ Fresh_19 >= B1 /\ 1 >= Ar_0*D1 /\ Ar_0*D1 + D1 >= 2 /\ D1 >= Fresh_19 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f107) = V_3 - V_4 Pol(f91) = V_3 - V_4 + 1 Pol(f103) = V_3 - V_4 Pol(f99) = V_3 - V_4 Pol(f37) = V_3 - V_4 + 1 Pol(f57) = V_3 - V_4 + 1 Pol(f40) = V_3 - V_4 + 1 Pol(f86) = V_3 - V_4 + 1 Pol(f50) = V_3 - V_4 + 1 Pol(f44) = V_3 - V_4 + 1 Pol(f64) = V_3 - V_4 + 1 Pol(f71) = V_3 - V_4 + 1 Pol(f118) = V_3 - V_4 + 1 Pol(f1) = V_3 - V_4 + 1 Pol(f31) = V_3 - V_4 + 1 Pol(f24) = V_3 - V_4 + 1 Pol(f13) = V_3 - V_4 + 1 Pol(f2) = 4*V_1 - V_4 + 1 Pol(koat_start) = 4*V_1 - V_4 + 1 orients all transitions weakly and the transition f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9 + 2, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_4 >= Ar_9 ] strictly and produces the following problem: 8: T: (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_7, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_6, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_5, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_10, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_9, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_8, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_15, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_13, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_14 + 1 /\ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_12 >= 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14 + 1, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 4*Ar_0 + Ar_9 + 1, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9 + 2, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_4 >= Ar_9 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_4, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_2, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_3 + 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_1 >= 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ 0 >= Ar_16 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_16 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f1(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_13 >= Ar_14 ] (Comp: 5, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_14 >= Ar_13 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ Ar_9 >= Ar_0 + 1 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_18 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_18 >= 2 /\ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_17 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_17 /\ Ar_3 >= Ar_9 ] (Comp: 5, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, 2*Ar_0, 4*Ar_0, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 1 >= Ar_0*B1 /\ Ar_0*B1 + B1 >= 2 /\ Fresh_19 >= B1 /\ 1 >= Ar_0*D1 /\ Ar_0*D1 + D1 >= 2 /\ D1 >= Fresh_19 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f107) = V_2 - V_4 Pol(f91) = V_2 - V_4 + 1 Pol(f103) = V_2 - V_4 Pol(f99) = V_2 - V_4 Pol(f37) = V_2 - V_4 + 1 Pol(f57) = V_2 - V_4 + 1 Pol(f40) = V_2 - V_4 + 1 Pol(f86) = V_2 - V_4 + 1 Pol(f50) = V_2 - V_4 + 1 Pol(f44) = V_2 - V_4 + 1 Pol(f64) = V_2 - V_4 + 1 Pol(f71) = V_2 - V_4 + 1 Pol(f118) = V_2 - V_4 + 1 Pol(f1) = V_2 - V_4 + 1 Pol(f31) = V_2 - V_4 + 1 Pol(f24) = V_2 - V_4 + 1 Pol(f13) = V_2 - V_4 + 1 Pol(f2) = 2*V_1 - V_4 + 1 Pol(koat_start) = 2*V_1 - V_4 + 1 orients all transitions weakly and the transitions f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_18 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_18 >= 2 /\ Ar_3 >= Ar_9 ] f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_17 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_17 /\ Ar_3 >= Ar_9 ] f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] strictly and produces the following problem: 9: T: (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_7, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_6, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_5, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_10, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_9, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_8, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_15, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_13, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_14 + 1 /\ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_12 >= 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14 + 1, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 4*Ar_0 + Ar_9 + 1, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9 + 2, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_4 >= Ar_9 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_4 + 1 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_4, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_2, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_3 + 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_1 >= 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ 0 >= Ar_16 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ 0 >= Ar_16 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_16 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f1(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_13 >= Ar_14 ] (Comp: 5, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_14 >= Ar_13 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ Ar_9 >= Ar_0 + 1 /\ Ar_15 = 0 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_18 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_18 >= 2 /\ Ar_3 >= Ar_9 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_17 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_17 /\ Ar_3 >= Ar_9 ] (Comp: 5, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, 2*Ar_0, 4*Ar_0, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 1 >= Ar_0*B1 /\ Ar_0*B1 + B1 >= 2 /\ Fresh_19 >= B1 /\ 1 >= Ar_0*D1 /\ Ar_0*D1 + D1 >= 2 /\ D1 >= Fresh_19 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f107) = -V_9 + 1 Pol(f91) = -V_9 + 1 Pol(f103) = -V_9 + 1 Pol(f99) = -V_9 + 1 Pol(f37) = -V_9 + 1 Pol(f57) = -V_9 Pol(f40) = -V_9 + 1 Pol(f86) = -V_9 + 1 Pol(f50) = -V_9 Pol(f44) = -V_9 Pol(f64) = -V_9 Pol(f71) = -V_9 + 1 Pol(f118) = -V_9 Pol(f1) = -V_9 Pol(f31) = -V_9 + 1 Pol(f24) = -V_9 + 1 Pol(f13) = -V_9 + 1 Pol(f2) = -V_9 + 1 Pol(koat_start) = -V_9 + 1 orients all transitions weakly and the transitions f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ 0 >= Ar_16 /\ Ar_15 = 0 ] f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ 0 >= Ar_16 ] f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ 0 >= Ar_16 ] strictly and produces the following problem: 10: T: (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_7, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_6, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_5, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_10, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_9, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_8, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_15, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_13, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_14 + 1 /\ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_12 >= 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14 + 1, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: ?, Cost: 1) f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 4*Ar_0 + Ar_9 + 1, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9 + 2, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_4 >= Ar_9 ] (Comp: ?, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_4 + 1 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_4, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_2, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_3 + 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_1 >= 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: Ar_16 + 1, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ 0 >= Ar_16 ] (Comp: Ar_16 + 1, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ 0 >= Ar_16 ] (Comp: Ar_16 + 1, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ 0 >= Ar_16 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_16 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f1(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_13 >= Ar_14 ] (Comp: 5, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_14 >= Ar_13 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ Ar_9 >= Ar_0 + 1 /\ Ar_15 = 0 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_18 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_18 >= 2 /\ Ar_3 >= Ar_9 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_17 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_17 /\ Ar_3 >= Ar_9 ] (Comp: 5, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, 2*Ar_0, 4*Ar_0, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 1 >= Ar_0*B1 /\ Ar_0*B1 + B1 >= 2 /\ Fresh_19 >= B1 /\ 1 >= Ar_0*D1 /\ Ar_0*D1 + D1 >= 2 /\ D1 >= Fresh_19 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 10 produces the following problem: 11: T: (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_7, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_6, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_5, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_10, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_9, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_8, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_15, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_13, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_14 + 1 /\ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_12 >= 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14 + 1, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 2*Ar_16 + Ar_0 + Ar_9 + 3, Cost: 1) f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 2*Ar_16 + Ar_0 + Ar_9 + 3, Cost: 1) f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 2*Ar_16 + Ar_0 + Ar_9 + 3, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 4*Ar_0 + Ar_9 + 1, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9 + 2, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_4 >= Ar_9 ] (Comp: Ar_16 + 4*Ar_0 + Ar_9 + 2, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_4 + 1 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_4, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_2, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_3 + 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_1 >= 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: Ar_16 + 1, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ 0 >= Ar_16 ] (Comp: Ar_16 + 1, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ 0 >= Ar_16 ] (Comp: Ar_16 + 1, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ 0 >= Ar_16 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_16 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f1(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_13 >= Ar_14 ] (Comp: 5, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_14 >= Ar_13 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ Ar_9 >= Ar_0 + 1 /\ Ar_15 = 0 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_18 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_18 >= 2 /\ Ar_3 >= Ar_9 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_17 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_17 /\ Ar_3 >= Ar_9 ] (Comp: 5, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, 2*Ar_0, 4*Ar_0, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 1 >= Ar_0*B1 /\ Ar_0*B1 + B1 >= 2 /\ Fresh_19 >= B1 /\ 1 >= Ar_0*D1 /\ Ar_0*D1 + D1 >= 2 /\ D1 >= Fresh_19 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(f107) = V_6 - V_7 Pol(f91) = V_6 - V_7 Pol(f103) = V_6 - V_7 Pol(f99) = V_6 - V_7 Pol(f37) = V_6 - V_7 + 1 Pol(f57) = V_6 - V_7 Pol(f40) = V_6 - V_7 Pol(f86) = V_6 - V_7 Pol(f50) = V_6 - V_7 Pol(f44) = V_6 - V_7 Pol(f64) = V_6 - V_7 Pol(f71) = V_6 - V_7 Pol(f118) = V_6 - V_7 Pol(f1) = V_6 - V_7 Pol(f31) = V_6 - V_7 + 1 Pol(f24) = V_6 - V_7 + 1 Pol(f13) = V_6 - V_7 + 1 Pol(f2) = V_6 - V_7 + 1 Pol(koat_start) = V_6 - V_7 + 1 orients all transitions weakly and the transition f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_13 >= Ar_14 ] strictly and produces the following problem: 12: T: (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_7, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_6, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_5, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_10, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_9, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_8, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_15, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_13, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_14 + 1 /\ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_12 >= 1 /\ Ar_0 >= Ar_9 ] (Comp: ?, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14 + 1, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 2*Ar_16 + Ar_0 + Ar_9 + 3, Cost: 1) f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: ?, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 2*Ar_16 + Ar_0 + Ar_9 + 3, Cost: 1) f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 2*Ar_16 + Ar_0 + Ar_9 + 3, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 4*Ar_0 + Ar_9 + 1, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9 + 2, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_4 >= Ar_9 ] (Comp: Ar_16 + 4*Ar_0 + Ar_9 + 2, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_4 + 1 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_4, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_2, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_3 + 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_1 >= 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: Ar_16 + 1, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ 0 >= Ar_16 ] (Comp: Ar_16 + 1, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ 0 >= Ar_16 ] (Comp: Ar_16 + 1, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ 0 >= Ar_16 /\ Ar_15 = 0 ] (Comp: ?, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_16 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f1(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: Ar_13 + Ar_14 + 1, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_13 >= Ar_14 ] (Comp: 5, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_14 >= Ar_13 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ Ar_9 >= Ar_0 + 1 /\ Ar_15 = 0 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_18 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_18 >= 2 /\ Ar_3 >= Ar_9 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_17 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_17 /\ Ar_3 >= Ar_9 ] (Comp: 5, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, 2*Ar_0, 4*Ar_0, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 1 >= Ar_0*B1 /\ Ar_0*B1 + B1 >= 2 /\ Fresh_19 >= B1 /\ 1 >= Ar_0*D1 /\ Ar_0*D1 + D1 >= 2 /\ D1 >= Fresh_19 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 12 produces the following problem: 13: T: (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 27*Ar_0 + 27*Ar_9 + 27, Cost: 1) f107(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_7, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_6, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 9*Ar_0 + 9*Ar_9 + 9, Cost: 1) f103(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f107(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_5, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_10, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_9, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 3*Ar_0 + 3*Ar_9 + 3, Cost: 1) f99(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f103(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_8, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_15, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_13, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_14 + 1 /\ Ar_0 >= Ar_9 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f99(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_12 >= 1 /\ Ar_0 >= Ar_9 ] (Comp: 144*Ar_0 + 108*Ar_9 + 9*Ar_13 + 9*Ar_14 + 27*Ar_16 + 144, Cost: 1) f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14 + 1, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 2*Ar_16 + Ar_0 + Ar_9 + 3, Cost: 1) f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 21*Ar_0 + 9*Ar_9 + 3*Ar_13 + 3*Ar_14 + 9*Ar_16 + 21, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 = 0 ] (Comp: 21*Ar_0 + 9*Ar_9 + 3*Ar_13 + 3*Ar_14 + 9*Ar_16 + 21, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_11 + 1 ] (Comp: 21*Ar_0 + 9*Ar_9 + 3*Ar_13 + 3*Ar_14 + 9*Ar_16 + 21, Cost: 1) f86(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f91(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_11 >= 1 ] (Comp: 2*Ar_16 + Ar_0 + Ar_9 + 3, Cost: 1) f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f57(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 2*Ar_16 + Ar_0 + Ar_9 + 3, Cost: 1) f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f50(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 4*Ar_0 + Ar_9 + 1, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9 + 2, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_4 >= Ar_9 ] (Comp: Ar_16 + 4*Ar_0 + Ar_9 + 2, Cost: 1) f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16 + 1)) [ Ar_9 >= Ar_4 + 1 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: 7*Ar_0 + 3*Ar_9 + Ar_13 + Ar_14 + 3*Ar_16 + 7, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_4, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: 7*Ar_0 + 3*Ar_9 + Ar_13 + Ar_14 + 3*Ar_16 + 7, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_2, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_3 + 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: 7*Ar_0 + 3*Ar_9 + Ar_13 + Ar_14 + 3*Ar_16 + 7, Cost: 1) f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f86(Ar_0, Ar_3, Ar_4, Ar_9, Fresh_0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_1 >= 1 /\ Ar_9 >= Ar_3 + 1 ] (Comp: Ar_16 + 1, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ 0 >= Ar_16 ] (Comp: Ar_16 + 1, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f44(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ 0 >= Ar_16 ] (Comp: Ar_16 + 1, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f64(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ 0 >= Ar_16 /\ Ar_15 = 0 ] (Comp: Ar_13 + Ar_14 + 3*Ar_16 + 5*Ar_0 + 2*Ar_9 + 6, Cost: 1) f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f71(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_16 >= 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f1(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_0 + 1 ] (Comp: Ar_13 + Ar_14 + 1, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f40(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_13 >= Ar_14 ] (Comp: 5, Cost: 1) f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f118(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_14 >= Ar_13 + 1 ] (Comp: Ar_0 + Ar_9 + 1, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9 + 1, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_0 >= Ar_9 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Ar_15 + 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f31(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_15 >= 1 /\ Ar_9 >= Ar_0 + 1 ] (Comp: 5, Cost: 1) f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f37(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, 0, Ar_16)) [ Ar_9 >= Ar_0 + 1 /\ Ar_15 = 0 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, 0, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= Ar_9 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_18 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ Fresh_18 >= 2 /\ Ar_3 >= Ar_9 ] (Comp: 2*Ar_0 + Ar_9 + 1, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, Ar_3, Ar_4, Ar_9 + 1, -Fresh_17 + 1, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 >= Fresh_17 /\ Ar_3 >= Ar_9 ] (Comp: 5, Cost: 1) f13(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f24(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_9 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f13(Ar_0, 2*Ar_0, 4*Ar_0, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 1 >= Ar_0*B1 /\ Ar_0*B1 + B1 >= 2 /\ Fresh_19 >= B1 /\ 1 >= Ar_0*D1 /\ Ar_0*D1 + D1 >= 2 /\ D1 >= Fresh_19 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f2(Ar_0, Ar_3, Ar_4, Ar_9, Ar_11, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 375*Ar_0 + 278*Ar_9 + 23*Ar_13 + 23*Ar_14 + 76*Ar_16 + 413 Time: 2.445 sec (SMT: 0.723 sec) ---------------------------------------- (2) BOUNDS(1, n^1) ---------------------------------------- (3) Loat Proof (FINISHED) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: f2 0: f2 -> f13 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, [ 1>=free_1*A && free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free ], cost: 1 1: f13 -> f13 : J'=1+J, K'=1, L'=0, M'=0, [ D>=J ], cost: 1 2: f13 -> f13 : B'=1+B+free_3^2-2*free_3, J'=1+J, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, [ free_3>=2 && D>=J ], cost: 1 3: f13 -> f13 : B'=1-2*free_4+B+free_4^2, J'=1+J, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ 0>=free_4 && D>=J ], cost: 1 46: f13 -> f24 : [ J>=1+D ], cost: 1 4: f24 -> f24 : J'=1+J, [ A>=J ], cost: 1 43: f24 -> f31 : [ 0>=1+P && J>=1+A ], cost: 1 44: f24 -> f31 : [ P>=1 && J>=1+A ], cost: 1 45: f24 -> f37 : P'=0, [ J>=1+A && P==0 ], cost: 1 5: f31 -> f31 : J'=1+J, [ A>=J ], cost: 1 42: f31 -> f37 : [ J>=1+A ], cost: 1 6: f37 -> f40 : [ N>=O ], cost: 1 41: f37 -> f118 : C'=C*E, [ O>=1+N ], cost: 1 7: f40 -> f44 : [ 0>=1+P && 0>=Q_1 ], cost: 1 8: f40 -> f44 : [ P>=1 && 0>=Q_1 ], cost: 1 12: f40 -> f64 : P'=0, [ 0>=Q_1 && P==0 ], cost: 1 40: f40 -> f71 : [ Q_1>=1 ], cost: 1 9: f44 -> f44 : J'=1+J, [ A>=J ], cost: 1 39: f44 -> f50 : [ J>=1+A ], cost: 1 10: f50 -> f50 : J'=1+J, [ A>=J ], cost: 1 38: f50 -> f57 : A1'=D+Q_1, [ J>=1+A ], cost: 1 11: f57 -> f57 : J'=1+J, [ A>=J ], cost: 1 37: f57 -> f40 : Q_1'=1+Q_1, [ J>=1+A ], cost: 1 13: f64 -> f64 : J'=2+J, [ E>=J ], cost: 1 36: f64 -> f40 : Q_1'=1+Q_1, [ J>=1+E ], cost: 1 14: f71 -> f71 : J'=1+J, R'=2*J, S'=free_5, T'=1-free_5, [ D>=J ], cost: 1 33: f71 -> f86 : L'=free_17, Z'=0, [ J>=1+D ], cost: 1 34: f71 -> f86 : L'=free_18, Z'=free_19^2, [ 0>=1+free_19 && J>=1+D ], cost: 1 35: f71 -> f86 : L'=free_20, Z'=free_21^2, [ free_21>=1 && J>=1+D ], cost: 1 15: f86 -> f91 : L'=0, U'=0, [ L==0 ], cost: 1 16: f86 -> f91 : U'=L^2, [ 0>=1+L ], cost: 1 17: f86 -> f91 : U'=L^2, [ L>=1 ], cost: 1 18: f91 -> f99 : L'=free_6, R'=2*J, V'=0, [ A>=J ], cost: 1 19: f91 -> f99 : L'=free_7, R'=2*J, V'=free_8^2, [ 0>=1+free_8 && A>=J ], cost: 1 20: f91 -> f99 : L'=free_9, R'=2*J, V'=free_10^2, [ free_10>=1 && A>=J ], cost: 1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 21: f99 -> f103 : L'=free_11, W'=0, [ L==0 ], cost: 1 22: f99 -> f103 : L'=free_12, W'=L^2, [ 0>=1+L ], cost: 1 23: f99 -> f103 : L'=free_13, W'=L^2, [ L>=1 ], cost: 1 24: f103 -> f107 : L'=free_14, X'=0, [ L==0 ], cost: 1 25: f103 -> f107 : L'=free_15, X'=L^2, [ 0>=1+L ], cost: 1 26: f103 -> f107 : L'=free_16, X'=L^2, [ L>=1 ], cost: 1 27: f107 -> f91 : J'=1+J, L'=0, Y'=0, [ L==0 ], cost: 1 28: f107 -> f91 : J'=1+J, Y'=L^2, [ 0>=1+L ], cost: 1 29: f107 -> f91 : J'=1+J, Y'=L^2, [ L>=1 ], cost: 1 30: f118 -> f118 : J'=1+J, [ A>=J ], cost: 1 31: f118 -> f1 : A1'=B, B'=C, B1'=D, C'=E, C1'=F, D'=G, D1'=H, E'=Q, F'=J, G'=K, H'=L, Q'=M, J'=N, K'=O, L'=P, M'=Q_1, N'=R, O'=S, P'=T, Q_1'=U, R'=V, S'=W, T'=X, U'=Y, V'=Z, W'=A1, [ J>=1+A ], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 0: f2 -> f13 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, [ 1>=free_1*A && free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free ], cost: 1 Removed unreachable and leaf rules: Start location: f2 0: f2 -> f13 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, [ 1>=free_1*A && free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free ], cost: 1 1: f13 -> f13 : J'=1+J, K'=1, L'=0, M'=0, [ D>=J ], cost: 1 2: f13 -> f13 : B'=1+B+free_3^2-2*free_3, J'=1+J, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, [ free_3>=2 && D>=J ], cost: 1 3: f13 -> f13 : B'=1-2*free_4+B+free_4^2, J'=1+J, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ 0>=free_4 && D>=J ], cost: 1 46: f13 -> f24 : [ J>=1+D ], cost: 1 4: f24 -> f24 : J'=1+J, [ A>=J ], cost: 1 43: f24 -> f31 : [ 0>=1+P && J>=1+A ], cost: 1 44: f24 -> f31 : [ P>=1 && J>=1+A ], cost: 1 45: f24 -> f37 : P'=0, [ J>=1+A && P==0 ], cost: 1 5: f31 -> f31 : J'=1+J, [ A>=J ], cost: 1 42: f31 -> f37 : [ J>=1+A ], cost: 1 6: f37 -> f40 : [ N>=O ], cost: 1 41: f37 -> f118 : C'=C*E, [ O>=1+N ], cost: 1 7: f40 -> f44 : [ 0>=1+P && 0>=Q_1 ], cost: 1 8: f40 -> f44 : [ P>=1 && 0>=Q_1 ], cost: 1 12: f40 -> f64 : P'=0, [ 0>=Q_1 && P==0 ], cost: 1 40: f40 -> f71 : [ Q_1>=1 ], cost: 1 9: f44 -> f44 : J'=1+J, [ A>=J ], cost: 1 39: f44 -> f50 : [ J>=1+A ], cost: 1 10: f50 -> f50 : J'=1+J, [ A>=J ], cost: 1 38: f50 -> f57 : A1'=D+Q_1, [ J>=1+A ], cost: 1 11: f57 -> f57 : J'=1+J, [ A>=J ], cost: 1 37: f57 -> f40 : Q_1'=1+Q_1, [ J>=1+A ], cost: 1 13: f64 -> f64 : J'=2+J, [ E>=J ], cost: 1 36: f64 -> f40 : Q_1'=1+Q_1, [ J>=1+E ], cost: 1 14: f71 -> f71 : J'=1+J, R'=2*J, S'=free_5, T'=1-free_5, [ D>=J ], cost: 1 33: f71 -> f86 : L'=free_17, Z'=0, [ J>=1+D ], cost: 1 34: f71 -> f86 : L'=free_18, Z'=free_19^2, [ 0>=1+free_19 && J>=1+D ], cost: 1 35: f71 -> f86 : L'=free_20, Z'=free_21^2, [ free_21>=1 && J>=1+D ], cost: 1 15: f86 -> f91 : L'=0, U'=0, [ L==0 ], cost: 1 16: f86 -> f91 : U'=L^2, [ 0>=1+L ], cost: 1 17: f86 -> f91 : U'=L^2, [ L>=1 ], cost: 1 18: f91 -> f99 : L'=free_6, R'=2*J, V'=0, [ A>=J ], cost: 1 19: f91 -> f99 : L'=free_7, R'=2*J, V'=free_8^2, [ 0>=1+free_8 && A>=J ], cost: 1 20: f91 -> f99 : L'=free_9, R'=2*J, V'=free_10^2, [ free_10>=1 && A>=J ], cost: 1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 21: f99 -> f103 : L'=free_11, W'=0, [ L==0 ], cost: 1 22: f99 -> f103 : L'=free_12, W'=L^2, [ 0>=1+L ], cost: 1 23: f99 -> f103 : L'=free_13, W'=L^2, [ L>=1 ], cost: 1 24: f103 -> f107 : L'=free_14, X'=0, [ L==0 ], cost: 1 25: f103 -> f107 : L'=free_15, X'=L^2, [ 0>=1+L ], cost: 1 26: f103 -> f107 : L'=free_16, X'=L^2, [ L>=1 ], cost: 1 27: f107 -> f91 : J'=1+J, L'=0, Y'=0, [ L==0 ], cost: 1 28: f107 -> f91 : J'=1+J, Y'=L^2, [ 0>=1+L ], cost: 1 29: f107 -> f91 : J'=1+J, Y'=L^2, [ L>=1 ], cost: 1 30: f118 -> f118 : J'=1+J, [ A>=J ], cost: 1 Simplified all rules, resulting in: Start location: f2 0: f2 -> f13 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free ], cost: 1 1: f13 -> f13 : J'=1+J, K'=1, L'=0, M'=0, [ D>=J ], cost: 1 2: f13 -> f13 : B'=1+B+free_3^2-2*free_3, J'=1+J, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, [ free_3>=2 && D>=J ], cost: 1 3: f13 -> f13 : B'=1-2*free_4+B+free_4^2, J'=1+J, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ 0>=free_4 && D>=J ], cost: 1 46: f13 -> f24 : [ J>=1+D ], cost: 1 4: f24 -> f24 : J'=1+J, [ A>=J ], cost: 1 43: f24 -> f31 : [ 0>=1+P && J>=1+A ], cost: 1 44: f24 -> f31 : [ P>=1 && J>=1+A ], cost: 1 45: f24 -> f37 : P'=0, [ J>=1+A && P==0 ], cost: 1 5: f31 -> f31 : J'=1+J, [ A>=J ], cost: 1 42: f31 -> f37 : [ J>=1+A ], cost: 1 6: f37 -> f40 : [ N>=O ], cost: 1 41: f37 -> f118 : C'=C*E, [ O>=1+N ], cost: 1 7: f40 -> f44 : [ 0>=1+P && 0>=Q_1 ], cost: 1 8: f40 -> f44 : [ P>=1 && 0>=Q_1 ], cost: 1 12: f40 -> f64 : P'=0, [ 0>=Q_1 && P==0 ], cost: 1 40: f40 -> f71 : [ Q_1>=1 ], cost: 1 9: f44 -> f44 : J'=1+J, [ A>=J ], cost: 1 39: f44 -> f50 : [ J>=1+A ], cost: 1 10: f50 -> f50 : J'=1+J, [ A>=J ], cost: 1 38: f50 -> f57 : A1'=D+Q_1, [ J>=1+A ], cost: 1 11: f57 -> f57 : J'=1+J, [ A>=J ], cost: 1 37: f57 -> f40 : Q_1'=1+Q_1, [ J>=1+A ], cost: 1 13: f64 -> f64 : J'=2+J, [ E>=J ], cost: 1 36: f64 -> f40 : Q_1'=1+Q_1, [ J>=1+E ], cost: 1 14: f71 -> f71 : J'=1+J, R'=2*J, S'=free_5, T'=1-free_5, [ D>=J ], cost: 1 33: f71 -> f86 : L'=free_17, Z'=0, [ J>=1+D ], cost: 1 34: f71 -> f86 : L'=free_18, Z'=free_19^2, [ 0>=1+free_19 && J>=1+D ], cost: 1 35: f71 -> f86 : L'=free_20, Z'=free_21^2, [ free_21>=1 && J>=1+D ], cost: 1 15: f86 -> f91 : L'=0, U'=0, [ L==0 ], cost: 1 16: f86 -> f91 : U'=L^2, [ 0>=1+L ], cost: 1 17: f86 -> f91 : U'=L^2, [ L>=1 ], cost: 1 18: f91 -> f99 : L'=free_6, R'=2*J, V'=0, [ A>=J ], cost: 1 19: f91 -> f99 : L'=free_7, R'=2*J, V'=free_8^2, [ 0>=1+free_8 && A>=J ], cost: 1 20: f91 -> f99 : L'=free_9, R'=2*J, V'=free_10^2, [ free_10>=1 && A>=J ], cost: 1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 21: f99 -> f103 : L'=free_11, W'=0, [ L==0 ], cost: 1 22: f99 -> f103 : L'=free_12, W'=L^2, [ 0>=1+L ], cost: 1 23: f99 -> f103 : L'=free_13, W'=L^2, [ L>=1 ], cost: 1 24: f103 -> f107 : L'=free_14, X'=0, [ L==0 ], cost: 1 25: f103 -> f107 : L'=free_15, X'=L^2, [ 0>=1+L ], cost: 1 26: f103 -> f107 : L'=free_16, X'=L^2, [ L>=1 ], cost: 1 27: f107 -> f91 : J'=1+J, L'=0, Y'=0, [ L==0 ], cost: 1 28: f107 -> f91 : J'=1+J, Y'=L^2, [ 0>=1+L ], cost: 1 29: f107 -> f91 : J'=1+J, Y'=L^2, [ L>=1 ], cost: 1 30: f118 -> f118 : J'=1+J, [ A>=J ], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 1. Accelerating the following rules: 1: f13 -> f13 : J'=1+J, K'=1, L'=0, M'=0, [ D>=J ], cost: 1 2: f13 -> f13 : B'=1+B+free_3^2-2*free_3, J'=1+J, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, [ free_3>=2 && D>=J ], cost: 1 3: f13 -> f13 : B'=1-2*free_4+B+free_4^2, J'=1+J, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ 0>=free_4 && D>=J ], cost: 1 Accelerated rule 1 with metering function 1+D-J, yielding the new rule 47. Accelerated rule 2 with metering function 1+D-J, yielding the new rule 48. Accelerated rule 3 with metering function 1+D-J, yielding the new rule 49. Removing the simple loops: 1 2 3. Accelerating simple loops of location 2. Accelerating the following rules: 4: f24 -> f24 : J'=1+J, [ A>=J ], cost: 1 Accelerated rule 4 with metering function 1+A-J, yielding the new rule 50. Removing the simple loops: 4. Accelerating simple loops of location 3. Accelerating the following rules: 5: f31 -> f31 : J'=1+J, [ A>=J ], cost: 1 Accelerated rule 5 with metering function 1+A-J, yielding the new rule 51. Removing the simple loops: 5. Accelerating simple loops of location 6. Accelerating the following rules: 9: f44 -> f44 : J'=1+J, [ A>=J ], cost: 1 Accelerated rule 9 with metering function 1+A-J, yielding the new rule 52. Removing the simple loops: 9. Accelerating simple loops of location 7. Accelerating the following rules: 10: f50 -> f50 : J'=1+J, [ A>=J ], cost: 1 Accelerated rule 10 with metering function 1+A-J, yielding the new rule 53. Removing the simple loops: 10. Accelerating simple loops of location 8. Accelerating the following rules: 11: f57 -> f57 : J'=1+J, [ A>=J ], cost: 1 Accelerated rule 11 with metering function 1+A-J, yielding the new rule 54. Removing the simple loops: 11. Accelerating simple loops of location 9. Accelerating the following rules: 13: f64 -> f64 : J'=2+J, [ E>=J ], cost: 1 Accelerated rule 13 with metering function meter (where 2*meter==-J+E), yielding the new rule 55. Removing the simple loops: 13. Accelerating simple loops of location 10. Accelerating the following rules: 14: f71 -> f71 : J'=1+J, R'=2*J, S'=free_5, T'=1-free_5, [ D>=J ], cost: 1 Accelerated rule 14 with metering function 1+D-J, yielding the new rule 56. Removing the simple loops: 14. Accelerating simple loops of location 16. Accelerating the following rules: 30: f118 -> f118 : J'=1+J, [ A>=J ], cost: 1 Accelerated rule 30 with metering function 1+A-J, yielding the new rule 57. Removing the simple loops: 30. Accelerated all simple loops using metering functions (where possible): Start location: f2 0: f2 -> f13 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free ], cost: 1 46: f13 -> f24 : [ J>=1+D ], cost: 1 47: f13 -> f13 : J'=1+D, K'=1, L'=0, M'=0, [ D>=J ], cost: 1+D-J 48: f13 -> f13 : B'=1+B+(1+D-J)*free_3^2-2*(1+D-J)*free_3+D-J, J'=1+D, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, [ free_3>=2 && D>=J ], cost: 1+D-J 49: f13 -> f13 : B'=1+B+D-2*free_4*(1+D-J)-J+free_4^2*(1+D-J), J'=1+D, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ 0>=free_4 && D>=J ], cost: 1+D-J 43: f24 -> f31 : [ 0>=1+P && J>=1+A ], cost: 1 44: f24 -> f31 : [ P>=1 && J>=1+A ], cost: 1 45: f24 -> f37 : P'=0, [ J>=1+A && P==0 ], cost: 1 50: f24 -> f24 : J'=1+A, [ A>=J ], cost: 1+A-J 42: f31 -> f37 : [ J>=1+A ], cost: 1 51: f31 -> f31 : J'=1+A, [ A>=J ], cost: 1+A-J 6: f37 -> f40 : [ N>=O ], cost: 1 41: f37 -> f118 : C'=C*E, [ O>=1+N ], cost: 1 7: f40 -> f44 : [ 0>=1+P && 0>=Q_1 ], cost: 1 8: f40 -> f44 : [ P>=1 && 0>=Q_1 ], cost: 1 12: f40 -> f64 : P'=0, [ 0>=Q_1 && P==0 ], cost: 1 40: f40 -> f71 : [ Q_1>=1 ], cost: 1 39: f44 -> f50 : [ J>=1+A ], cost: 1 52: f44 -> f44 : J'=1+A, [ A>=J ], cost: 1+A-J 38: f50 -> f57 : A1'=D+Q_1, [ J>=1+A ], cost: 1 53: f50 -> f50 : J'=1+A, [ A>=J ], cost: 1+A-J 37: f57 -> f40 : Q_1'=1+Q_1, [ J>=1+A ], cost: 1 54: f57 -> f57 : J'=1+A, [ A>=J ], cost: 1+A-J 36: f64 -> f40 : Q_1'=1+Q_1, [ J>=1+E ], cost: 1 55: f64 -> f64 : J'=2*meter+J, [ E>=J && 2*meter==-J+E && meter>=1 ], cost: meter 33: f71 -> f86 : L'=free_17, Z'=0, [ J>=1+D ], cost: 1 34: f71 -> f86 : L'=free_18, Z'=free_19^2, [ 0>=1+free_19 && J>=1+D ], cost: 1 35: f71 -> f86 : L'=free_20, Z'=free_21^2, [ free_21>=1 && J>=1+D ], cost: 1 56: f71 -> f71 : J'=1+D, R'=2*D, S'=free_5, T'=1-free_5, [ D>=J ], cost: 1+D-J 15: f86 -> f91 : L'=0, U'=0, [ L==0 ], cost: 1 16: f86 -> f91 : U'=L^2, [ 0>=1+L ], cost: 1 17: f86 -> f91 : U'=L^2, [ L>=1 ], cost: 1 18: f91 -> f99 : L'=free_6, R'=2*J, V'=0, [ A>=J ], cost: 1 19: f91 -> f99 : L'=free_7, R'=2*J, V'=free_8^2, [ 0>=1+free_8 && A>=J ], cost: 1 20: f91 -> f99 : L'=free_9, R'=2*J, V'=free_10^2, [ free_10>=1 && A>=J ], cost: 1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 21: f99 -> f103 : L'=free_11, W'=0, [ L==0 ], cost: 1 22: f99 -> f103 : L'=free_12, W'=L^2, [ 0>=1+L ], cost: 1 23: f99 -> f103 : L'=free_13, W'=L^2, [ L>=1 ], cost: 1 24: f103 -> f107 : L'=free_14, X'=0, [ L==0 ], cost: 1 25: f103 -> f107 : L'=free_15, X'=L^2, [ 0>=1+L ], cost: 1 26: f103 -> f107 : L'=free_16, X'=L^2, [ L>=1 ], cost: 1 27: f107 -> f91 : J'=1+J, L'=0, Y'=0, [ L==0 ], cost: 1 28: f107 -> f91 : J'=1+J, Y'=L^2, [ 0>=1+L ], cost: 1 29: f107 -> f91 : J'=1+J, Y'=L^2, [ L>=1 ], cost: 1 57: f118 -> f118 : J'=1+A, [ A>=J ], cost: 1+A-J Chained accelerated rules (with incoming rules): Start location: f2 0: f2 -> f13 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free ], cost: 1 58: f2 -> f13 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 59: f2 -> f13 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 60: f2 -> f13 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 46: f13 -> f24 : [ J>=1+D ], cost: 1 61: f13 -> f24 : J'=1+A, [ J>=1+D && A>=J ], cost: 2+A-J 43: f24 -> f31 : [ 0>=1+P && J>=1+A ], cost: 1 44: f24 -> f31 : [ P>=1 && J>=1+A ], cost: 1 45: f24 -> f37 : P'=0, [ J>=1+A && P==0 ], cost: 1 42: f31 -> f37 : [ J>=1+A ], cost: 1 6: f37 -> f40 : [ N>=O ], cost: 1 41: f37 -> f118 : C'=C*E, [ O>=1+N ], cost: 1 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 7: f40 -> f44 : [ 0>=1+P && 0>=Q_1 ], cost: 1 8: f40 -> f44 : [ P>=1 && 0>=Q_1 ], cost: 1 12: f40 -> f64 : P'=0, [ 0>=Q_1 && P==0 ], cost: 1 40: f40 -> f71 : [ Q_1>=1 ], cost: 1 62: f40 -> f44 : J'=1+A, [ 0>=1+P && 0>=Q_1 && A>=J ], cost: 2+A-J 63: f40 -> f44 : J'=1+A, [ P>=1 && 0>=Q_1 && A>=J ], cost: 2+A-J 64: f40 -> f64 : J'=2*meter+J, P'=0, [ 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 1+meter 65: f40 -> f71 : J'=1+D, R'=2*D, S'=free_5, T'=1-free_5, [ Q_1>=1 && D>=J ], cost: 2+D-J 39: f44 -> f50 : [ J>=1+A ], cost: 1 38: f50 -> f57 : A1'=D+Q_1, [ J>=1+A ], cost: 1 37: f57 -> f40 : Q_1'=1+Q_1, [ J>=1+A ], cost: 1 36: f64 -> f40 : Q_1'=1+Q_1, [ J>=1+E ], cost: 1 33: f71 -> f86 : L'=free_17, Z'=0, [ J>=1+D ], cost: 1 34: f71 -> f86 : L'=free_18, Z'=free_19^2, [ 0>=1+free_19 && J>=1+D ], cost: 1 35: f71 -> f86 : L'=free_20, Z'=free_21^2, [ free_21>=1 && J>=1+D ], cost: 1 15: f86 -> f91 : L'=0, U'=0, [ L==0 ], cost: 1 16: f86 -> f91 : U'=L^2, [ 0>=1+L ], cost: 1 17: f86 -> f91 : U'=L^2, [ L>=1 ], cost: 1 18: f91 -> f99 : L'=free_6, R'=2*J, V'=0, [ A>=J ], cost: 1 19: f91 -> f99 : L'=free_7, R'=2*J, V'=free_8^2, [ 0>=1+free_8 && A>=J ], cost: 1 20: f91 -> f99 : L'=free_9, R'=2*J, V'=free_10^2, [ free_10>=1 && A>=J ], cost: 1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 21: f99 -> f103 : L'=free_11, W'=0, [ L==0 ], cost: 1 22: f99 -> f103 : L'=free_12, W'=L^2, [ 0>=1+L ], cost: 1 23: f99 -> f103 : L'=free_13, W'=L^2, [ L>=1 ], cost: 1 24: f103 -> f107 : L'=free_14, X'=0, [ L==0 ], cost: 1 25: f103 -> f107 : L'=free_15, X'=L^2, [ 0>=1+L ], cost: 1 26: f103 -> f107 : L'=free_16, X'=L^2, [ L>=1 ], cost: 1 27: f107 -> f91 : J'=1+J, L'=0, Y'=0, [ L==0 ], cost: 1 28: f107 -> f91 : J'=1+J, Y'=L^2, [ 0>=1+L ], cost: 1 29: f107 -> f91 : J'=1+J, Y'=L^2, [ L>=1 ], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: f2 0: f2 -> f13 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free ], cost: 1 58: f2 -> f13 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 59: f2 -> f13 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 60: f2 -> f13 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 46: f13 -> f24 : [ J>=1+D ], cost: 1 61: f13 -> f24 : J'=1+A, [ J>=1+D && A>=J ], cost: 2+A-J 43: f24 -> f31 : [ 0>=1+P && J>=1+A ], cost: 1 44: f24 -> f31 : [ P>=1 && J>=1+A ], cost: 1 45: f24 -> f37 : P'=0, [ J>=1+A && P==0 ], cost: 1 42: f31 -> f37 : [ J>=1+A ], cost: 1 6: f37 -> f40 : [ N>=O ], cost: 1 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 7: f40 -> f44 : [ 0>=1+P && 0>=Q_1 ], cost: 1 8: f40 -> f44 : [ P>=1 && 0>=Q_1 ], cost: 1 12: f40 -> f64 : P'=0, [ 0>=Q_1 && P==0 ], cost: 1 40: f40 -> f71 : [ Q_1>=1 ], cost: 1 62: f40 -> f44 : J'=1+A, [ 0>=1+P && 0>=Q_1 && A>=J ], cost: 2+A-J 63: f40 -> f44 : J'=1+A, [ P>=1 && 0>=Q_1 && A>=J ], cost: 2+A-J 64: f40 -> f64 : J'=2*meter+J, P'=0, [ 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 1+meter 65: f40 -> f71 : J'=1+D, R'=2*D, S'=free_5, T'=1-free_5, [ Q_1>=1 && D>=J ], cost: 2+D-J 39: f44 -> f50 : [ J>=1+A ], cost: 1 38: f50 -> f57 : A1'=D+Q_1, [ J>=1+A ], cost: 1 37: f57 -> f40 : Q_1'=1+Q_1, [ J>=1+A ], cost: 1 36: f64 -> f40 : Q_1'=1+Q_1, [ J>=1+E ], cost: 1 33: f71 -> f86 : L'=free_17, Z'=0, [ J>=1+D ], cost: 1 34: f71 -> f86 : L'=free_18, Z'=free_19^2, [ 0>=1+free_19 && J>=1+D ], cost: 1 35: f71 -> f86 : L'=free_20, Z'=free_21^2, [ free_21>=1 && J>=1+D ], cost: 1 15: f86 -> f91 : L'=0, U'=0, [ L==0 ], cost: 1 16: f86 -> f91 : U'=L^2, [ 0>=1+L ], cost: 1 17: f86 -> f91 : U'=L^2, [ L>=1 ], cost: 1 18: f91 -> f99 : L'=free_6, R'=2*J, V'=0, [ A>=J ], cost: 1 19: f91 -> f99 : L'=free_7, R'=2*J, V'=free_8^2, [ 0>=1+free_8 && A>=J ], cost: 1 20: f91 -> f99 : L'=free_9, R'=2*J, V'=free_10^2, [ free_10>=1 && A>=J ], cost: 1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 21: f99 -> f103 : L'=free_11, W'=0, [ L==0 ], cost: 1 22: f99 -> f103 : L'=free_12, W'=L^2, [ 0>=1+L ], cost: 1 23: f99 -> f103 : L'=free_13, W'=L^2, [ L>=1 ], cost: 1 24: f103 -> f107 : L'=free_14, X'=0, [ L==0 ], cost: 1 25: f103 -> f107 : L'=free_15, X'=L^2, [ 0>=1+L ], cost: 1 26: f103 -> f107 : L'=free_16, X'=L^2, [ L>=1 ], cost: 1 27: f107 -> f91 : J'=1+J, L'=0, Y'=0, [ L==0 ], cost: 1 28: f107 -> f91 : J'=1+J, Y'=L^2, [ 0>=1+L ], cost: 1 29: f107 -> f91 : J'=1+J, Y'=L^2, [ L>=1 ], cost: 1 Eliminated locations (on linear paths): Start location: f2 0: f2 -> f13 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free ], cost: 1 58: f2 -> f13 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 59: f2 -> f13 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 60: f2 -> f13 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 46: f13 -> f24 : [ J>=1+D ], cost: 1 61: f13 -> f24 : J'=1+A, [ J>=1+D && A>=J ], cost: 2+A-J 43: f24 -> f31 : [ 0>=1+P && J>=1+A ], cost: 1 44: f24 -> f31 : [ P>=1 && J>=1+A ], cost: 1 45: f24 -> f37 : P'=0, [ J>=1+A && P==0 ], cost: 1 42: f31 -> f37 : [ J>=1+A ], cost: 1 6: f37 -> f40 : [ N>=O ], cost: 1 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 7: f40 -> f44 : [ 0>=1+P && 0>=Q_1 ], cost: 1 8: f40 -> f44 : [ P>=1 && 0>=Q_1 ], cost: 1 12: f40 -> f64 : P'=0, [ 0>=Q_1 && P==0 ], cost: 1 40: f40 -> f71 : [ Q_1>=1 ], cost: 1 62: f40 -> f44 : J'=1+A, [ 0>=1+P && 0>=Q_1 && A>=J ], cost: 2+A-J 63: f40 -> f44 : J'=1+A, [ P>=1 && 0>=Q_1 && A>=J ], cost: 2+A-J 64: f40 -> f64 : J'=2*meter+J, P'=0, [ 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 1+meter 65: f40 -> f71 : J'=1+D, R'=2*D, S'=free_5, T'=1-free_5, [ Q_1>=1 && D>=J ], cost: 2+D-J 68: f44 -> f40 : A1'=D+Q_1, Q_1'=1+Q_1, [ J>=1+A ], cost: 3 36: f64 -> f40 : Q_1'=1+Q_1, [ J>=1+E ], cost: 1 33: f71 -> f86 : L'=free_17, Z'=0, [ J>=1+D ], cost: 1 34: f71 -> f86 : L'=free_18, Z'=free_19^2, [ 0>=1+free_19 && J>=1+D ], cost: 1 35: f71 -> f86 : L'=free_20, Z'=free_21^2, [ free_21>=1 && J>=1+D ], cost: 1 15: f86 -> f91 : L'=0, U'=0, [ L==0 ], cost: 1 16: f86 -> f91 : U'=L^2, [ 0>=1+L ], cost: 1 17: f86 -> f91 : U'=L^2, [ L>=1 ], cost: 1 18: f91 -> f99 : L'=free_6, R'=2*J, V'=0, [ A>=J ], cost: 1 19: f91 -> f99 : L'=free_7, R'=2*J, V'=free_8^2, [ 0>=1+free_8 && A>=J ], cost: 1 20: f91 -> f99 : L'=free_9, R'=2*J, V'=free_10^2, [ free_10>=1 && A>=J ], cost: 1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 21: f99 -> f103 : L'=free_11, W'=0, [ L==0 ], cost: 1 22: f99 -> f103 : L'=free_12, W'=L^2, [ 0>=1+L ], cost: 1 23: f99 -> f103 : L'=free_13, W'=L^2, [ L>=1 ], cost: 1 24: f103 -> f107 : L'=free_14, X'=0, [ L==0 ], cost: 1 25: f103 -> f107 : L'=free_15, X'=L^2, [ 0>=1+L ], cost: 1 26: f103 -> f107 : L'=free_16, X'=L^2, [ L>=1 ], cost: 1 27: f107 -> f91 : J'=1+J, L'=0, Y'=0, [ L==0 ], cost: 1 28: f107 -> f91 : J'=1+J, Y'=L^2, [ 0>=1+L ], cost: 1 29: f107 -> f91 : J'=1+J, Y'=L^2, [ L>=1 ], cost: 1 Eliminated locations (on tree-shaped paths): Start location: f2 69: f2 -> f24 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && J>=1+2*A ], cost: 2 70: f2 -> f24 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 3+2*A-J 71: f2 -> f24 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 3+2*A-J 72: f2 -> f24 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 3+2*A-J 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 45: f24 -> f37 : P'=0, [ J>=1+A && P==0 ], cost: 1 76: f24 -> f37 : [ 0>=1+P && J>=1+A ], cost: 2 77: f24 -> f37 : [ P>=1 && J>=1+A ], cost: 2 6: f37 -> f40 : [ N>=O ], cost: 1 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 78: f40 -> f40 : A1'=D+Q_1, Q_1'=1+Q_1, [ 0>=1+P && 0>=Q_1 && J>=1+A ], cost: 4 79: f40 -> f40 : A1'=D+Q_1, Q_1'=1+Q_1, [ P>=1 && 0>=Q_1 && J>=1+A ], cost: 4 80: f40 -> f40 : A1'=D+Q_1, J'=1+A, Q_1'=1+Q_1, [ 0>=1+P && 0>=Q_1 && A>=J ], cost: 5+A-J 81: f40 -> f40 : A1'=D+Q_1, J'=1+A, Q_1'=1+Q_1, [ P>=1 && 0>=Q_1 && A>=J ], cost: 5+A-J 82: f40 -> f40 : P'=0, Q_1'=1+Q_1, [ 0>=Q_1 && P==0 && J>=1+E ], cost: 2 83: f40 -> [28] : [ 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 1+meter 84: f40 -> f86 : L'=free_17, Z'=0, [ Q_1>=1 && J>=1+D ], cost: 2 85: f40 -> f86 : L'=free_18, Z'=free_19^2, [ Q_1>=1 && 0>=1+free_19 && J>=1+D ], cost: 2 86: f40 -> f86 : L'=free_20, Z'=free_21^2, [ Q_1>=1 && free_21>=1 && J>=1+D ], cost: 2 87: f40 -> f86 : J'=1+D, L'=free_17, R'=2*D, S'=free_5, T'=1-free_5, Z'=0, [ Q_1>=1 && D>=J ], cost: 3+D-J 88: f40 -> f86 : J'=1+D, L'=free_18, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_19^2, [ Q_1>=1 && D>=J && 0>=1+free_19 ], cost: 3+D-J 89: f40 -> f86 : J'=1+D, L'=free_20, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_21^2, [ Q_1>=1 && D>=J && free_21>=1 ], cost: 3+D-J 15: f86 -> f91 : L'=0, U'=0, [ L==0 ], cost: 1 16: f86 -> f91 : U'=L^2, [ 0>=1+L ], cost: 1 17: f86 -> f91 : U'=L^2, [ L>=1 ], cost: 1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 90: f91 -> f103 : L'=free_11, R'=2*J, V'=0, W'=0, [ A>=J && free_6==0 ], cost: 2 91: f91 -> f103 : L'=free_12, R'=2*J, V'=0, W'=free_6^2, [ A>=J && 0>=1+free_6 ], cost: 2 92: f91 -> f103 : L'=free_13, R'=2*J, V'=0, W'=free_6^2, [ A>=J && free_6>=1 ], cost: 2 93: f91 -> f103 : L'=free_11, R'=2*J, V'=free_8^2, W'=0, [ 0>=1+free_8 && A>=J && free_7==0 ], cost: 2 94: f91 -> f103 : L'=free_12, R'=2*J, V'=free_8^2, W'=free_7^2, [ 0>=1+free_8 && A>=J && 0>=1+free_7 ], cost: 2 95: f91 -> f103 : L'=free_13, R'=2*J, V'=free_8^2, W'=free_7^2, [ 0>=1+free_8 && A>=J && free_7>=1 ], cost: 2 96: f91 -> f103 : L'=free_11, R'=2*J, V'=free_10^2, W'=0, [ free_10>=1 && A>=J && free_9==0 ], cost: 2 97: f91 -> f103 : L'=free_12, R'=2*J, V'=free_10^2, W'=free_9^2, [ free_10>=1 && A>=J && 0>=1+free_9 ], cost: 2 98: f91 -> f103 : L'=free_13, R'=2*J, V'=free_10^2, W'=free_9^2, [ free_10>=1 && A>=J && free_9>=1 ], cost: 2 99: f103 -> f91 : J'=1+J, L'=0, X'=0, Y'=0, [ L==0 && free_14==0 ], cost: 2 100: f103 -> f91 : J'=1+J, L'=free_14, X'=0, Y'=free_14^2, [ L==0 && 0>=1+free_14 ], cost: 2 101: f103 -> f91 : J'=1+J, L'=free_14, X'=0, Y'=free_14^2, [ L==0 && free_14>=1 ], cost: 2 102: f103 -> f91 : J'=1+J, L'=0, X'=L^2, Y'=0, [ 0>=1+L && free_15==0 ], cost: 2 103: f103 -> f91 : J'=1+J, L'=free_15, X'=L^2, Y'=free_15^2, [ 0>=1+L && 0>=1+free_15 ], cost: 2 104: f103 -> f91 : J'=1+J, L'=free_15, X'=L^2, Y'=free_15^2, [ 0>=1+L && free_15>=1 ], cost: 2 105: f103 -> f91 : J'=1+J, L'=0, X'=L^2, Y'=0, [ L>=1 && free_16==0 ], cost: 2 106: f103 -> f91 : J'=1+J, L'=free_16, X'=L^2, Y'=free_16^2, [ L>=1 && 0>=1+free_16 ], cost: 2 107: f103 -> f91 : J'=1+J, L'=free_16, X'=L^2, Y'=free_16^2, [ L>=1 && free_16>=1 ], cost: 2 Applied pruning (of leafs and parallel rules): Start location: f2 69: f2 -> f24 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && J>=1+2*A ], cost: 2 70: f2 -> f24 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 3+2*A-J 71: f2 -> f24 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 3+2*A-J 72: f2 -> f24 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 3+2*A-J 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 45: f24 -> f37 : P'=0, [ J>=1+A && P==0 ], cost: 1 76: f24 -> f37 : [ 0>=1+P && J>=1+A ], cost: 2 77: f24 -> f37 : [ P>=1 && J>=1+A ], cost: 2 6: f37 -> f40 : [ N>=O ], cost: 1 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 78: f40 -> f40 : A1'=D+Q_1, Q_1'=1+Q_1, [ 0>=1+P && 0>=Q_1 && J>=1+A ], cost: 4 79: f40 -> f40 : A1'=D+Q_1, Q_1'=1+Q_1, [ P>=1 && 0>=Q_1 && J>=1+A ], cost: 4 80: f40 -> f40 : A1'=D+Q_1, J'=1+A, Q_1'=1+Q_1, [ 0>=1+P && 0>=Q_1 && A>=J ], cost: 5+A-J 81: f40 -> f40 : A1'=D+Q_1, J'=1+A, Q_1'=1+Q_1, [ P>=1 && 0>=Q_1 && A>=J ], cost: 5+A-J 82: f40 -> f40 : P'=0, Q_1'=1+Q_1, [ 0>=Q_1 && P==0 && J>=1+E ], cost: 2 83: f40 -> [28] : [ 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 1+meter 85: f40 -> f86 : L'=free_18, Z'=free_19^2, [ Q_1>=1 && 0>=1+free_19 && J>=1+D ], cost: 2 86: f40 -> f86 : L'=free_20, Z'=free_21^2, [ Q_1>=1 && free_21>=1 && J>=1+D ], cost: 2 87: f40 -> f86 : J'=1+D, L'=free_17, R'=2*D, S'=free_5, T'=1-free_5, Z'=0, [ Q_1>=1 && D>=J ], cost: 3+D-J 88: f40 -> f86 : J'=1+D, L'=free_18, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_19^2, [ Q_1>=1 && D>=J && 0>=1+free_19 ], cost: 3+D-J 89: f40 -> f86 : J'=1+D, L'=free_20, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_21^2, [ Q_1>=1 && D>=J && free_21>=1 ], cost: 3+D-J 15: f86 -> f91 : L'=0, U'=0, [ L==0 ], cost: 1 16: f86 -> f91 : U'=L^2, [ 0>=1+L ], cost: 1 17: f86 -> f91 : U'=L^2, [ L>=1 ], cost: 1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 90: f91 -> f103 : L'=free_11, R'=2*J, V'=0, W'=0, [ A>=J && free_6==0 ], cost: 2 91: f91 -> f103 : L'=free_12, R'=2*J, V'=0, W'=free_6^2, [ A>=J && 0>=1+free_6 ], cost: 2 93: f91 -> f103 : L'=free_11, R'=2*J, V'=free_8^2, W'=0, [ 0>=1+free_8 && A>=J && free_7==0 ], cost: 2 94: f91 -> f103 : L'=free_12, R'=2*J, V'=free_8^2, W'=free_7^2, [ 0>=1+free_8 && A>=J && 0>=1+free_7 ], cost: 2 96: f91 -> f103 : L'=free_11, R'=2*J, V'=free_10^2, W'=0, [ free_10>=1 && A>=J && free_9==0 ], cost: 2 99: f103 -> f91 : J'=1+J, L'=0, X'=0, Y'=0, [ L==0 && free_14==0 ], cost: 2 100: f103 -> f91 : J'=1+J, L'=free_14, X'=0, Y'=free_14^2, [ L==0 && 0>=1+free_14 ], cost: 2 102: f103 -> f91 : J'=1+J, L'=0, X'=L^2, Y'=0, [ 0>=1+L && free_15==0 ], cost: 2 103: f103 -> f91 : J'=1+J, L'=free_15, X'=L^2, Y'=free_15^2, [ 0>=1+L && 0>=1+free_15 ], cost: 2 105: f103 -> f91 : J'=1+J, L'=0, X'=L^2, Y'=0, [ L>=1 && free_16==0 ], cost: 2 Accelerating simple loops of location 5. Accelerating the following rules: 78: f40 -> f40 : A1'=D+Q_1, Q_1'=1+Q_1, [ 0>=1+P && 0>=Q_1 && J>=1+A ], cost: 4 79: f40 -> f40 : A1'=D+Q_1, Q_1'=1+Q_1, [ P>=1 && 0>=Q_1 && J>=1+A ], cost: 4 80: f40 -> f40 : A1'=D+Q_1, J'=1+A, Q_1'=1+Q_1, [ 0>=1+P && 0>=Q_1 && A>=J ], cost: 5+A-J 81: f40 -> f40 : A1'=D+Q_1, J'=1+A, Q_1'=1+Q_1, [ P>=1 && 0>=Q_1 && A>=J ], cost: 5+A-J 82: f40 -> f40 : P'=0, Q_1'=1+Q_1, [ 0>=Q_1 && P==0 && J>=1+E ], cost: 2 Accelerated rule 78 with metering function 1-Q_1, yielding the new rule 108. Accelerated rule 79 with metering function 1-Q_1, yielding the new rule 109. Found no metering function for rule 80. Found no metering function for rule 81. Accelerated rule 82 with metering function 1-Q_1, yielding the new rule 110. Removing the simple loops: 78 79 82. Accelerated all simple loops using metering functions (where possible): Start location: f2 69: f2 -> f24 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && J>=1+2*A ], cost: 2 70: f2 -> f24 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 3+2*A-J 71: f2 -> f24 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 3+2*A-J 72: f2 -> f24 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 3+2*A-J 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 45: f24 -> f37 : P'=0, [ J>=1+A && P==0 ], cost: 1 76: f24 -> f37 : [ 0>=1+P && J>=1+A ], cost: 2 77: f24 -> f37 : [ P>=1 && J>=1+A ], cost: 2 6: f37 -> f40 : [ N>=O ], cost: 1 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 80: f40 -> f40 : A1'=D+Q_1, J'=1+A, Q_1'=1+Q_1, [ 0>=1+P && 0>=Q_1 && A>=J ], cost: 5+A-J 81: f40 -> f40 : A1'=D+Q_1, J'=1+A, Q_1'=1+Q_1, [ P>=1 && 0>=Q_1 && A>=J ], cost: 5+A-J 83: f40 -> [28] : [ 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 1+meter 85: f40 -> f86 : L'=free_18, Z'=free_19^2, [ Q_1>=1 && 0>=1+free_19 && J>=1+D ], cost: 2 86: f40 -> f86 : L'=free_20, Z'=free_21^2, [ Q_1>=1 && free_21>=1 && J>=1+D ], cost: 2 87: f40 -> f86 : J'=1+D, L'=free_17, R'=2*D, S'=free_5, T'=1-free_5, Z'=0, [ Q_1>=1 && D>=J ], cost: 3+D-J 88: f40 -> f86 : J'=1+D, L'=free_18, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_19^2, [ Q_1>=1 && D>=J && 0>=1+free_19 ], cost: 3+D-J 89: f40 -> f86 : J'=1+D, L'=free_20, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_21^2, [ Q_1>=1 && D>=J && free_21>=1 ], cost: 3+D-J 108: f40 -> f40 : A1'=D, Q_1'=1, [ 0>=1+P && 0>=Q_1 && J>=1+A ], cost: 4-4*Q_1 109: f40 -> f40 : A1'=D, Q_1'=1, [ P>=1 && 0>=Q_1 && J>=1+A ], cost: 4-4*Q_1 110: f40 -> f40 : P'=0, Q_1'=1, [ 0>=Q_1 && P==0 && J>=1+E ], cost: 2-2*Q_1 15: f86 -> f91 : L'=0, U'=0, [ L==0 ], cost: 1 16: f86 -> f91 : U'=L^2, [ 0>=1+L ], cost: 1 17: f86 -> f91 : U'=L^2, [ L>=1 ], cost: 1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 90: f91 -> f103 : L'=free_11, R'=2*J, V'=0, W'=0, [ A>=J && free_6==0 ], cost: 2 91: f91 -> f103 : L'=free_12, R'=2*J, V'=0, W'=free_6^2, [ A>=J && 0>=1+free_6 ], cost: 2 93: f91 -> f103 : L'=free_11, R'=2*J, V'=free_8^2, W'=0, [ 0>=1+free_8 && A>=J && free_7==0 ], cost: 2 94: f91 -> f103 : L'=free_12, R'=2*J, V'=free_8^2, W'=free_7^2, [ 0>=1+free_8 && A>=J && 0>=1+free_7 ], cost: 2 96: f91 -> f103 : L'=free_11, R'=2*J, V'=free_10^2, W'=0, [ free_10>=1 && A>=J && free_9==0 ], cost: 2 99: f103 -> f91 : J'=1+J, L'=0, X'=0, Y'=0, [ L==0 && free_14==0 ], cost: 2 100: f103 -> f91 : J'=1+J, L'=free_14, X'=0, Y'=free_14^2, [ L==0 && 0>=1+free_14 ], cost: 2 102: f103 -> f91 : J'=1+J, L'=0, X'=L^2, Y'=0, [ 0>=1+L && free_15==0 ], cost: 2 103: f103 -> f91 : J'=1+J, L'=free_15, X'=L^2, Y'=free_15^2, [ 0>=1+L && 0>=1+free_15 ], cost: 2 105: f103 -> f91 : J'=1+J, L'=0, X'=L^2, Y'=0, [ L>=1 && free_16==0 ], cost: 2 Chained accelerated rules (with incoming rules): Start location: f2 69: f2 -> f24 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && J>=1+2*A ], cost: 2 70: f2 -> f24 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 3+2*A-J 71: f2 -> f24 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 3+2*A-J 72: f2 -> f24 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 3+2*A-J 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 45: f24 -> f37 : P'=0, [ J>=1+A && P==0 ], cost: 1 76: f24 -> f37 : [ 0>=1+P && J>=1+A ], cost: 2 77: f24 -> f37 : [ P>=1 && J>=1+A ], cost: 2 6: f37 -> f40 : [ N>=O ], cost: 1 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 111: f37 -> f40 : A1'=D+Q_1, J'=1+A, Q_1'=1+Q_1, [ N>=O && 0>=1+P && 0>=Q_1 && A>=J ], cost: 6+A-J 112: f37 -> f40 : A1'=D+Q_1, J'=1+A, Q_1'=1+Q_1, [ N>=O && P>=1 && 0>=Q_1 && A>=J ], cost: 6+A-J 113: f37 -> f40 : A1'=D, Q_1'=1, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 114: f37 -> f40 : A1'=D, Q_1'=1, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 115: f37 -> f40 : P'=0, Q_1'=1, [ N>=O && 0>=Q_1 && P==0 && J>=1+E ], cost: 3-2*Q_1 83: f40 -> [28] : [ 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 1+meter 85: f40 -> f86 : L'=free_18, Z'=free_19^2, [ Q_1>=1 && 0>=1+free_19 && J>=1+D ], cost: 2 86: f40 -> f86 : L'=free_20, Z'=free_21^2, [ Q_1>=1 && free_21>=1 && J>=1+D ], cost: 2 87: f40 -> f86 : J'=1+D, L'=free_17, R'=2*D, S'=free_5, T'=1-free_5, Z'=0, [ Q_1>=1 && D>=J ], cost: 3+D-J 88: f40 -> f86 : J'=1+D, L'=free_18, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_19^2, [ Q_1>=1 && D>=J && 0>=1+free_19 ], cost: 3+D-J 89: f40 -> f86 : J'=1+D, L'=free_20, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_21^2, [ Q_1>=1 && D>=J && free_21>=1 ], cost: 3+D-J 15: f86 -> f91 : L'=0, U'=0, [ L==0 ], cost: 1 16: f86 -> f91 : U'=L^2, [ 0>=1+L ], cost: 1 17: f86 -> f91 : U'=L^2, [ L>=1 ], cost: 1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 90: f91 -> f103 : L'=free_11, R'=2*J, V'=0, W'=0, [ A>=J && free_6==0 ], cost: 2 91: f91 -> f103 : L'=free_12, R'=2*J, V'=0, W'=free_6^2, [ A>=J && 0>=1+free_6 ], cost: 2 93: f91 -> f103 : L'=free_11, R'=2*J, V'=free_8^2, W'=0, [ 0>=1+free_8 && A>=J && free_7==0 ], cost: 2 94: f91 -> f103 : L'=free_12, R'=2*J, V'=free_8^2, W'=free_7^2, [ 0>=1+free_8 && A>=J && 0>=1+free_7 ], cost: 2 96: f91 -> f103 : L'=free_11, R'=2*J, V'=free_10^2, W'=0, [ free_10>=1 && A>=J && free_9==0 ], cost: 2 99: f103 -> f91 : J'=1+J, L'=0, X'=0, Y'=0, [ L==0 && free_14==0 ], cost: 2 100: f103 -> f91 : J'=1+J, L'=free_14, X'=0, Y'=free_14^2, [ L==0 && 0>=1+free_14 ], cost: 2 102: f103 -> f91 : J'=1+J, L'=0, X'=L^2, Y'=0, [ 0>=1+L && free_15==0 ], cost: 2 103: f103 -> f91 : J'=1+J, L'=free_15, X'=L^2, Y'=free_15^2, [ 0>=1+L && 0>=1+free_15 ], cost: 2 105: f103 -> f91 : J'=1+J, L'=0, X'=L^2, Y'=0, [ L>=1 && free_16==0 ], cost: 2 Eliminated locations (on tree-shaped paths): Start location: f2 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 116: f2 -> f37 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && J>=1+2*A && J>=1+A && P==0 ], cost: 3 117: f2 -> f37 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && J>=1+2*A && 0>=1+P && J>=1+A ], cost: 4 118: f2 -> f37 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && J>=1+2*A && P>=1 && J>=1+A ], cost: 4 119: f2 -> f37 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 120: f2 -> f37 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 0>=1+P && 1+2*A>=1+A ], cost: 5+2*A-J 121: f2 -> f37 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && P>=1 && 1+2*A>=1+A ], cost: 5+2*A-J 122: f2 -> f37 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 123: f2 -> f37 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 0>=1+P && 1+2*A>=1+A ], cost: 5+2*A-J 124: f2 -> f37 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && P>=1 && 1+2*A>=1+A ], cost: 5+2*A-J 125: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 126: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A ], cost: 5+2*A-J 127: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && P>=1 && 1+2*A>=1+A ], cost: 5+2*A-J 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 128: f37 -> [28] : [ N>=O && 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 2+meter 129: f37 -> f86 : L'=free_18, Z'=free_19^2, [ N>=O && Q_1>=1 && 0>=1+free_19 && J>=1+D ], cost: 3 130: f37 -> f86 : L'=free_20, Z'=free_21^2, [ N>=O && Q_1>=1 && free_21>=1 && J>=1+D ], cost: 3 131: f37 -> f86 : J'=1+D, L'=free_17, R'=2*D, S'=free_5, T'=1-free_5, Z'=0, [ N>=O && Q_1>=1 && D>=J ], cost: 4+D-J 132: f37 -> f86 : J'=1+D, L'=free_18, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_19^2, [ N>=O && Q_1>=1 && D>=J && 0>=1+free_19 ], cost: 4+D-J 133: f37 -> f86 : J'=1+D, L'=free_20, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_21^2, [ N>=O && Q_1>=1 && D>=J && free_21>=1 ], cost: 4+D-J 134: f37 -> f86 : A1'=D+Q_1, J'=1+A, L'=free_18, Q_1'=1+Q_1, Z'=free_19^2, [ N>=O && 0>=1+P && 0>=Q_1 && A>=J && 1+Q_1>=1 && 0>=1+free_19 && 1+A>=1+D ], cost: 8+A-J 135: f37 -> f86 : A1'=D+Q_1, J'=1+A, L'=free_20, Q_1'=1+Q_1, Z'=free_21^2, [ N>=O && 0>=1+P && 0>=Q_1 && A>=J && 1+Q_1>=1 && free_21>=1 && 1+A>=1+D ], cost: 8+A-J 136: f37 -> f86 : A1'=D+Q_1, J'=1+D, L'=free_17, Q_1'=1+Q_1, R'=2*D, S'=free_5, T'=1-free_5, Z'=0, [ N>=O && 0>=1+P && 0>=Q_1 && A>=J && 1+Q_1>=1 && D>=1+A ], cost: 8+D-J 137: f37 -> f86 : A1'=D+Q_1, J'=1+D, L'=free_18, Q_1'=1+Q_1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_19^2, [ N>=O && 0>=1+P && 0>=Q_1 && A>=J && 1+Q_1>=1 && D>=1+A && 0>=1+free_19 ], cost: 8+D-J 138: f37 -> f86 : A1'=D+Q_1, J'=1+D, L'=free_20, Q_1'=1+Q_1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_21^2, [ N>=O && 0>=1+P && 0>=Q_1 && A>=J && 1+Q_1>=1 && D>=1+A && free_21>=1 ], cost: 8+D-J 139: f37 -> f86 : A1'=D+Q_1, J'=1+A, L'=free_18, Q_1'=1+Q_1, Z'=free_19^2, [ N>=O && P>=1 && 0>=Q_1 && A>=J && 1+Q_1>=1 && 0>=1+free_19 && 1+A>=1+D ], cost: 8+A-J 140: f37 -> f86 : A1'=D+Q_1, J'=1+A, L'=free_20, Q_1'=1+Q_1, Z'=free_21^2, [ N>=O && P>=1 && 0>=Q_1 && A>=J && 1+Q_1>=1 && free_21>=1 && 1+A>=1+D ], cost: 8+A-J 141: f37 -> f86 : A1'=D+Q_1, J'=1+D, L'=free_17, Q_1'=1+Q_1, R'=2*D, S'=free_5, T'=1-free_5, Z'=0, [ N>=O && P>=1 && 0>=Q_1 && A>=J && 1+Q_1>=1 && D>=1+A ], cost: 8+D-J 142: f37 -> f86 : A1'=D+Q_1, J'=1+D, L'=free_18, Q_1'=1+Q_1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_19^2, [ N>=O && P>=1 && 0>=Q_1 && A>=J && 1+Q_1>=1 && D>=1+A && 0>=1+free_19 ], cost: 8+D-J 143: f37 -> f86 : A1'=D+Q_1, J'=1+D, L'=free_20, Q_1'=1+Q_1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_21^2, [ N>=O && P>=1 && 0>=Q_1 && A>=J && 1+Q_1>=1 && D>=1+A && free_21>=1 ], cost: 8+D-J 144: f37 -> f86 : A1'=D, L'=free_18, Q_1'=1, Z'=free_19^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && 0>=1+free_19 && J>=1+D ], cost: 7-4*Q_1 145: f37 -> f86 : A1'=D, L'=free_20, Q_1'=1, Z'=free_21^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && free_21>=1 && J>=1+D ], cost: 7-4*Q_1 146: f37 -> f86 : A1'=D, J'=1+D, L'=free_17, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, Z'=0, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && D>=J ], cost: 8+D-J-4*Q_1 147: f37 -> f86 : A1'=D, J'=1+D, L'=free_18, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_19^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && D>=J && 0>=1+free_19 ], cost: 8+D-J-4*Q_1 148: f37 -> f86 : A1'=D, J'=1+D, L'=free_20, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_21^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && D>=J && free_21>=1 ], cost: 8+D-J-4*Q_1 149: f37 -> f86 : A1'=D, L'=free_18, Q_1'=1, Z'=free_19^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && 0>=1+free_19 && J>=1+D ], cost: 7-4*Q_1 150: f37 -> f86 : A1'=D, L'=free_20, Q_1'=1, Z'=free_21^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && free_21>=1 && J>=1+D ], cost: 7-4*Q_1 151: f37 -> f86 : A1'=D, J'=1+D, L'=free_17, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, Z'=0, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J ], cost: 8+D-J-4*Q_1 152: f37 -> f86 : A1'=D, J'=1+D, L'=free_18, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_19^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && 0>=1+free_19 ], cost: 8+D-J-4*Q_1 153: f37 -> f86 : A1'=D, J'=1+D, L'=free_20, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_21^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && free_21>=1 ], cost: 8+D-J-4*Q_1 154: f37 -> f86 : L'=free_18, P'=0, Q_1'=1, Z'=free_19^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && 0>=1+free_19 && J>=1+D ], cost: 5-2*Q_1 155: f37 -> f86 : L'=free_20, P'=0, Q_1'=1, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D ], cost: 5-2*Q_1 156: f37 -> f86 : J'=1+D, L'=free_17, P'=0, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, Z'=0, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && D>=J ], cost: 6+D-J-2*Q_1 157: f37 -> f86 : J'=1+D, L'=free_18, P'=0, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_19^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && D>=J && 0>=1+free_19 ], cost: 6+D-J-2*Q_1 158: f37 -> f86 : J'=1+D, L'=free_20, P'=0, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && D>=J && free_21>=1 ], cost: 6+D-J-2*Q_1 159: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && A>=J ], cost: 6+A-J 160: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && A>=J ], cost: 6+A-J 161: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 162: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 163: f37 -> [30] : [ N>=O && 0>=Q_1 && P==0 && J>=1+E ], cost: 3-2*Q_1 15: f86 -> f91 : L'=0, U'=0, [ L==0 ], cost: 1 16: f86 -> f91 : U'=L^2, [ 0>=1+L ], cost: 1 17: f86 -> f91 : U'=L^2, [ L>=1 ], cost: 1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 164: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=0, W'=0, X'=0, Y'=0, [ A>=J && free_6==0 && free_11==0 && free_14==0 ], cost: 4 165: f91 -> f91 : J'=1+J, L'=free_14, R'=2*J, V'=0, W'=0, X'=0, Y'=free_14^2, [ A>=J && free_6==0 && free_11==0 && 0>=1+free_14 ], cost: 4 166: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=0, W'=0, X'=free_11^2, Y'=0, [ A>=J && free_6==0 && 0>=1+free_11 && free_15==0 ], cost: 4 167: f91 -> f91 : J'=1+J, L'=free_15, R'=2*J, V'=0, W'=0, X'=free_11^2, Y'=free_15^2, [ A>=J && free_6==0 && 0>=1+free_11 && 0>=1+free_15 ], cost: 4 168: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=0, W'=0, X'=free_11^2, Y'=0, [ A>=J && free_6==0 && free_11>=1 && free_16==0 ], cost: 4 169: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=0, W'=free_6^2, X'=0, Y'=0, [ A>=J && 0>=1+free_6 && free_12==0 && free_14==0 ], cost: 4 170: f91 -> f91 : J'=1+J, L'=free_14, R'=2*J, V'=0, W'=free_6^2, X'=0, Y'=free_14^2, [ A>=J && 0>=1+free_6 && free_12==0 && 0>=1+free_14 ], cost: 4 171: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=0, W'=free_6^2, X'=free_12^2, Y'=0, [ A>=J && 0>=1+free_6 && 0>=1+free_12 && free_15==0 ], cost: 4 172: f91 -> f91 : J'=1+J, L'=free_15, R'=2*J, V'=0, W'=free_6^2, X'=free_12^2, Y'=free_15^2, [ A>=J && 0>=1+free_6 && 0>=1+free_12 && 0>=1+free_15 ], cost: 4 173: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=0, W'=free_6^2, X'=free_12^2, Y'=0, [ A>=J && 0>=1+free_6 && free_12>=1 && free_16==0 ], cost: 4 174: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=free_8^2, W'=0, X'=0, Y'=0, [ 0>=1+free_8 && A>=J && free_7==0 && free_11==0 && free_14==0 ], cost: 4 175: f91 -> f91 : J'=1+J, L'=free_14, R'=2*J, V'=free_8^2, W'=0, X'=0, Y'=free_14^2, [ 0>=1+free_8 && A>=J && free_7==0 && free_11==0 && 0>=1+free_14 ], cost: 4 176: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, [ 0>=1+free_8 && A>=J && free_7==0 && 0>=1+free_11 && free_15==0 ], cost: 4 177: f91 -> f91 : J'=1+J, L'=free_15, R'=2*J, V'=free_8^2, W'=0, X'=free_11^2, Y'=free_15^2, [ 0>=1+free_8 && A>=J && free_7==0 && 0>=1+free_11 && 0>=1+free_15 ], cost: 4 178: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, [ 0>=1+free_8 && A>=J && free_7==0 && free_11>=1 && free_16==0 ], cost: 4 179: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=free_8^2, W'=free_7^2, X'=0, Y'=0, [ 0>=1+free_8 && A>=J && 0>=1+free_7 && free_12==0 && free_14==0 ], cost: 4 180: f91 -> f91 : J'=1+J, L'=free_14, R'=2*J, V'=free_8^2, W'=free_7^2, X'=0, Y'=free_14^2, [ 0>=1+free_8 && A>=J && 0>=1+free_7 && free_12==0 && 0>=1+free_14 ], cost: 4 181: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=free_8^2, W'=free_7^2, X'=free_12^2, Y'=0, [ 0>=1+free_8 && A>=J && 0>=1+free_7 && 0>=1+free_12 && free_15==0 ], cost: 4 182: f91 -> f91 : J'=1+J, L'=free_15, R'=2*J, V'=free_8^2, W'=free_7^2, X'=free_12^2, Y'=free_15^2, [ 0>=1+free_8 && A>=J && 0>=1+free_7 && 0>=1+free_12 && 0>=1+free_15 ], cost: 4 183: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=free_8^2, W'=free_7^2, X'=free_12^2, Y'=0, [ 0>=1+free_8 && A>=J && 0>=1+free_7 && free_12>=1 && free_16==0 ], cost: 4 184: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=free_10^2, W'=0, X'=0, Y'=0, [ free_10>=1 && A>=J && free_9==0 && free_11==0 && free_14==0 ], cost: 4 185: f91 -> f91 : J'=1+J, L'=free_14, R'=2*J, V'=free_10^2, W'=0, X'=0, Y'=free_14^2, [ free_10>=1 && A>=J && free_9==0 && free_11==0 && 0>=1+free_14 ], cost: 4 186: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=free_10^2, W'=0, X'=free_11^2, Y'=0, [ free_10>=1 && A>=J && free_9==0 && 0>=1+free_11 && free_15==0 ], cost: 4 187: f91 -> f91 : J'=1+J, L'=free_15, R'=2*J, V'=free_10^2, W'=0, X'=free_11^2, Y'=free_15^2, [ free_10>=1 && A>=J && free_9==0 && 0>=1+free_11 && 0>=1+free_15 ], cost: 4 188: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=free_10^2, W'=0, X'=free_11^2, Y'=0, [ free_10>=1 && A>=J && free_9==0 && free_11>=1 && free_16==0 ], cost: 4 Applied pruning (of leafs and parallel rules): Start location: f2 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 119: f2 -> f37 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 122: f2 -> f37 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 125: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 126: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A ], cost: 5+2*A-J 127: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && P>=1 && 1+2*A>=1+A ], cost: 5+2*A-J 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 128: f37 -> [28] : [ N>=O && 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 2+meter 144: f37 -> f86 : A1'=D, L'=free_18, Q_1'=1, Z'=free_19^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && 0>=1+free_19 && J>=1+D ], cost: 7-4*Q_1 145: f37 -> f86 : A1'=D, L'=free_20, Q_1'=1, Z'=free_21^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && free_21>=1 && J>=1+D ], cost: 7-4*Q_1 152: f37 -> f86 : A1'=D, J'=1+D, L'=free_18, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_19^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && 0>=1+free_19 ], cost: 8+D-J-4*Q_1 153: f37 -> f86 : A1'=D, J'=1+D, L'=free_20, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_21^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && free_21>=1 ], cost: 8+D-J-4*Q_1 155: f37 -> f86 : L'=free_20, P'=0, Q_1'=1, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D ], cost: 5-2*Q_1 159: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && A>=J ], cost: 6+A-J 160: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && A>=J ], cost: 6+A-J 161: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 162: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 163: f37 -> [30] : [ N>=O && 0>=Q_1 && P==0 && J>=1+E ], cost: 3-2*Q_1 15: f86 -> f91 : L'=0, U'=0, [ L==0 ], cost: 1 16: f86 -> f91 : U'=L^2, [ 0>=1+L ], cost: 1 17: f86 -> f91 : U'=L^2, [ L>=1 ], cost: 1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 164: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=0, W'=0, X'=0, Y'=0, [ A>=J && free_6==0 && free_11==0 && free_14==0 ], cost: 4 165: f91 -> f91 : J'=1+J, L'=free_14, R'=2*J, V'=0, W'=0, X'=0, Y'=free_14^2, [ A>=J && free_6==0 && free_11==0 && 0>=1+free_14 ], cost: 4 167: f91 -> f91 : J'=1+J, L'=free_15, R'=2*J, V'=0, W'=0, X'=free_11^2, Y'=free_15^2, [ A>=J && free_6==0 && 0>=1+free_11 && 0>=1+free_15 ], cost: 4 171: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=0, W'=free_6^2, X'=free_12^2, Y'=0, [ A>=J && 0>=1+free_6 && 0>=1+free_12 && free_15==0 ], cost: 4 176: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, [ 0>=1+free_8 && A>=J && free_7==0 && 0>=1+free_11 && free_15==0 ], cost: 4 Accelerating simple loops of location 12. Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 164: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=0, W'=0, X'=0, Y'=0, [ A>=J ], cost: 4 165: f91 -> f91 : J'=1+J, L'=free_14, R'=2*J, V'=0, W'=0, X'=0, Y'=free_14^2, [ A>=J && 0>=1+free_14 ], cost: 4 167: f91 -> f91 : J'=1+J, L'=free_15, R'=2*J, V'=0, W'=0, X'=free_11^2, Y'=free_15^2, [ A>=J && 0>=1+free_11 && 0>=1+free_15 ], cost: 4 171: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=0, W'=free_6^2, X'=free_12^2, Y'=0, [ A>=J && 0>=1+free_6 && 0>=1+free_12 ], cost: 4 176: f91 -> f91 : J'=1+J, L'=0, R'=2*J, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, [ 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 4 Accelerated rule 164 with metering function 1+A-J, yielding the new rule 189. Accelerated rule 165 with metering function 1+A-J, yielding the new rule 190. Accelerated rule 167 with metering function 1+A-J, yielding the new rule 191. Accelerated rule 171 with metering function 1+A-J, yielding the new rule 192. Accelerated rule 176 with metering function 1+A-J, yielding the new rule 193. Removing the simple loops: 164 165 167 171 176. Accelerated all simple loops using metering functions (where possible): Start location: f2 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 119: f2 -> f37 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 122: f2 -> f37 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 125: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 126: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A ], cost: 5+2*A-J 127: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && P>=1 && 1+2*A>=1+A ], cost: 5+2*A-J 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 128: f37 -> [28] : [ N>=O && 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 2+meter 144: f37 -> f86 : A1'=D, L'=free_18, Q_1'=1, Z'=free_19^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && 0>=1+free_19 && J>=1+D ], cost: 7-4*Q_1 145: f37 -> f86 : A1'=D, L'=free_20, Q_1'=1, Z'=free_21^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && free_21>=1 && J>=1+D ], cost: 7-4*Q_1 152: f37 -> f86 : A1'=D, J'=1+D, L'=free_18, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_19^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && 0>=1+free_19 ], cost: 8+D-J-4*Q_1 153: f37 -> f86 : A1'=D, J'=1+D, L'=free_20, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_21^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && free_21>=1 ], cost: 8+D-J-4*Q_1 155: f37 -> f86 : L'=free_20, P'=0, Q_1'=1, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D ], cost: 5-2*Q_1 159: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && A>=J ], cost: 6+A-J 160: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && A>=J ], cost: 6+A-J 161: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 162: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 163: f37 -> [30] : [ N>=O && 0>=Q_1 && P==0 && J>=1+E ], cost: 3-2*Q_1 15: f86 -> f91 : L'=0, U'=0, [ L==0 ], cost: 1 16: f86 -> f91 : U'=L^2, [ 0>=1+L ], cost: 1 17: f86 -> f91 : U'=L^2, [ L>=1 ], cost: 1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 189: f91 -> f91 : J'=1+A, L'=0, R'=2*A, V'=0, W'=0, X'=0, Y'=0, [ A>=J ], cost: 4+4*A-4*J 190: f91 -> f91 : J'=1+A, L'=free_14, R'=2*A, V'=0, W'=0, X'=0, Y'=free_14^2, [ A>=J && 0>=1+free_14 ], cost: 4+4*A-4*J 191: f91 -> f91 : J'=1+A, L'=free_15, R'=2*A, V'=0, W'=0, X'=free_11^2, Y'=free_15^2, [ A>=J && 0>=1+free_11 && 0>=1+free_15 ], cost: 4+4*A-4*J 192: f91 -> f91 : J'=1+A, L'=0, R'=2*A, V'=0, W'=free_6^2, X'=free_12^2, Y'=0, [ A>=J && 0>=1+free_6 && 0>=1+free_12 ], cost: 4+4*A-4*J 193: f91 -> f91 : J'=1+A, L'=0, R'=2*A, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, [ 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 4+4*A-4*J Chained accelerated rules (with incoming rules): Start location: f2 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 119: f2 -> f37 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 122: f2 -> f37 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 125: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 126: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A ], cost: 5+2*A-J 127: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && P>=1 && 1+2*A>=1+A ], cost: 5+2*A-J 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 128: f37 -> [28] : [ N>=O && 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 2+meter 144: f37 -> f86 : A1'=D, L'=free_18, Q_1'=1, Z'=free_19^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && 0>=1+free_19 && J>=1+D ], cost: 7-4*Q_1 145: f37 -> f86 : A1'=D, L'=free_20, Q_1'=1, Z'=free_21^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && free_21>=1 && J>=1+D ], cost: 7-4*Q_1 152: f37 -> f86 : A1'=D, J'=1+D, L'=free_18, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_19^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && 0>=1+free_19 ], cost: 8+D-J-4*Q_1 153: f37 -> f86 : A1'=D, J'=1+D, L'=free_20, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, Z'=free_21^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && free_21>=1 ], cost: 8+D-J-4*Q_1 155: f37 -> f86 : L'=free_20, P'=0, Q_1'=1, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D ], cost: 5-2*Q_1 159: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && A>=J ], cost: 6+A-J 160: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && A>=J ], cost: 6+A-J 161: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 162: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 163: f37 -> [30] : [ N>=O && 0>=Q_1 && P==0 && J>=1+E ], cost: 3-2*Q_1 15: f86 -> f91 : L'=0, U'=0, [ L==0 ], cost: 1 16: f86 -> f91 : U'=L^2, [ 0>=1+L ], cost: 1 17: f86 -> f91 : U'=L^2, [ L>=1 ], cost: 1 194: f86 -> f91 : J'=1+A, L'=0, R'=2*A, U'=0, V'=0, W'=0, X'=0, Y'=0, [ L==0 && A>=J ], cost: 5+4*A-4*J 195: f86 -> f91 : J'=1+A, L'=0, R'=2*A, U'=L^2, V'=0, W'=0, X'=0, Y'=0, [ 0>=1+L && A>=J ], cost: 5+4*A-4*J 196: f86 -> f91 : J'=1+A, L'=0, R'=2*A, U'=L^2, V'=0, W'=0, X'=0, Y'=0, [ L>=1 && A>=J ], cost: 5+4*A-4*J 197: f86 -> f91 : J'=1+A, L'=free_14, R'=2*A, U'=0, V'=0, W'=0, X'=0, Y'=free_14^2, [ L==0 && A>=J && 0>=1+free_14 ], cost: 5+4*A-4*J 198: f86 -> f91 : J'=1+A, L'=free_14, R'=2*A, U'=L^2, V'=0, W'=0, X'=0, Y'=free_14^2, [ 0>=1+L && A>=J && 0>=1+free_14 ], cost: 5+4*A-4*J 199: f86 -> f91 : J'=1+A, L'=free_14, R'=2*A, U'=L^2, V'=0, W'=0, X'=0, Y'=free_14^2, [ L>=1 && A>=J && 0>=1+free_14 ], cost: 5+4*A-4*J 200: f86 -> f91 : J'=1+A, L'=free_15, R'=2*A, U'=0, V'=0, W'=0, X'=free_11^2, Y'=free_15^2, [ L==0 && A>=J && 0>=1+free_11 && 0>=1+free_15 ], cost: 5+4*A-4*J 201: f86 -> f91 : J'=1+A, L'=free_15, R'=2*A, U'=L^2, V'=0, W'=0, X'=free_11^2, Y'=free_15^2, [ 0>=1+L && A>=J && 0>=1+free_11 && 0>=1+free_15 ], cost: 5+4*A-4*J 202: f86 -> f91 : J'=1+A, L'=free_15, R'=2*A, U'=L^2, V'=0, W'=0, X'=free_11^2, Y'=free_15^2, [ L>=1 && A>=J && 0>=1+free_11 && 0>=1+free_15 ], cost: 5+4*A-4*J 203: f86 -> f91 : J'=1+A, L'=0, R'=2*A, U'=0, V'=0, W'=free_6^2, X'=free_12^2, Y'=0, [ L==0 && A>=J && 0>=1+free_6 && 0>=1+free_12 ], cost: 5+4*A-4*J 204: f86 -> f91 : J'=1+A, L'=0, R'=2*A, U'=L^2, V'=0, W'=free_6^2, X'=free_12^2, Y'=0, [ 0>=1+L && A>=J && 0>=1+free_6 && 0>=1+free_12 ], cost: 5+4*A-4*J 205: f86 -> f91 : J'=1+A, L'=0, R'=2*A, U'=L^2, V'=0, W'=free_6^2, X'=free_12^2, Y'=0, [ L>=1 && A>=J && 0>=1+free_6 && 0>=1+free_12 ], cost: 5+4*A-4*J 206: f86 -> f91 : J'=1+A, L'=0, R'=2*A, U'=0, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, [ L==0 && 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 5+4*A-4*J 207: f86 -> f91 : J'=1+A, L'=0, R'=2*A, U'=L^2, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, [ 0>=1+L && 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 5+4*A-4*J 208: f86 -> f91 : J'=1+A, L'=0, R'=2*A, U'=L^2, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, [ L>=1 && 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 5+4*A-4*J 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 Eliminated locations (on tree-shaped paths): Start location: f2 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 119: f2 -> f37 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 122: f2 -> f37 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 125: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 126: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A ], cost: 5+2*A-J 127: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && P>=1 && 1+2*A>=1+A ], cost: 5+2*A-J 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 128: f37 -> [28] : [ N>=O && 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 2+meter 159: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && A>=J ], cost: 6+A-J 160: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && A>=J ], cost: 6+A-J 161: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 162: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 163: f37 -> [30] : [ N>=O && 0>=Q_1 && P==0 && J>=1+E ], cost: 3-2*Q_1 209: f37 -> f91 : A1'=D, L'=0, Q_1'=1, U'=0, Z'=free_19^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && 0>=1+free_19 && J>=1+D && free_18==0 ], cost: 8-4*Q_1 210: f37 -> f91 : A1'=D, L'=free_18, Q_1'=1, U'=free_18^2, Z'=free_19^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && 0>=1+free_19 && J>=1+D && 0>=1+free_18 ], cost: 8-4*Q_1 211: f37 -> f91 : A1'=D, L'=free_18, Q_1'=1, U'=free_18^2, Z'=free_19^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && 0>=1+free_19 && J>=1+D && free_18>=1 ], cost: 8-4*Q_1 212: f37 -> f91 : A1'=D, L'=0, Q_1'=1, U'=0, Z'=free_21^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && free_21>=1 && J>=1+D && free_20==0 ], cost: 8-4*Q_1 213: f37 -> f91 : A1'=D, L'=free_20, Q_1'=1, U'=free_20^2, Z'=free_21^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && free_21>=1 && J>=1+D && 0>=1+free_20 ], cost: 8-4*Q_1 214: f37 -> f91 : A1'=D, L'=free_20, Q_1'=1, U'=free_20^2, Z'=free_21^2, [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && free_21>=1 && J>=1+D && free_20>=1 ], cost: 8-4*Q_1 215: f37 -> f91 : A1'=D, J'=1+D, L'=0, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, U'=0, Z'=free_19^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && 0>=1+free_19 && free_18==0 ], cost: 9+D-J-4*Q_1 216: f37 -> f91 : A1'=D, J'=1+D, L'=free_18, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, U'=free_18^2, Z'=free_19^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && 0>=1+free_19 && 0>=1+free_18 ], cost: 9+D-J-4*Q_1 217: f37 -> f91 : A1'=D, J'=1+D, L'=free_18, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, U'=free_18^2, Z'=free_19^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && 0>=1+free_19 && free_18>=1 ], cost: 9+D-J-4*Q_1 218: f37 -> f91 : A1'=D, J'=1+D, L'=0, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, U'=0, Z'=free_21^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && free_21>=1 && free_20==0 ], cost: 9+D-J-4*Q_1 219: f37 -> f91 : A1'=D, J'=1+D, L'=free_20, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, U'=free_20^2, Z'=free_21^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && free_21>=1 && 0>=1+free_20 ], cost: 9+D-J-4*Q_1 220: f37 -> f91 : A1'=D, J'=1+D, L'=free_20, Q_1'=1, R'=2*D, S'=free_5, T'=1-free_5, U'=free_20^2, Z'=free_21^2, [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && free_21>=1 && free_20>=1 ], cost: 9+D-J-4*Q_1 221: f37 -> f91 : L'=0, P'=0, Q_1'=1, U'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20==0 ], cost: 6-2*Q_1 222: f37 -> f91 : L'=free_20, P'=0, Q_1'=1, U'=free_20^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && 0>=1+free_20 ], cost: 6-2*Q_1 223: f37 -> f91 : L'=free_20, P'=0, Q_1'=1, U'=free_20^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 ], cost: 6-2*Q_1 224: f37 -> f91 : J'=1+A, L'=0, P'=0, Q_1'=1, R'=2*A, U'=0, V'=0, W'=0, X'=0, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20==0 && A>=J ], cost: 10+4*A-4*J-2*Q_1 225: f37 -> f91 : J'=1+A, L'=0, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=0, X'=0, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && 0>=1+free_20 && A>=J ], cost: 10+4*A-4*J-2*Q_1 226: f37 -> f91 : J'=1+A, L'=0, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=0, X'=0, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && A>=J ], cost: 10+4*A-4*J-2*Q_1 227: f37 -> f91 : J'=1+A, L'=free_14, P'=0, Q_1'=1, R'=2*A, U'=0, V'=0, W'=0, X'=0, Y'=free_14^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20==0 && A>=J && 0>=1+free_14 ], cost: 10+4*A-4*J-2*Q_1 228: f37 -> f91 : J'=1+A, L'=free_14, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=0, X'=0, Y'=free_14^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && 0>=1+free_20 && A>=J && 0>=1+free_14 ], cost: 10+4*A-4*J-2*Q_1 229: f37 -> f91 : J'=1+A, L'=free_14, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=0, X'=0, Y'=free_14^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && A>=J && 0>=1+free_14 ], cost: 10+4*A-4*J-2*Q_1 230: f37 -> f91 : J'=1+A, L'=free_15, P'=0, Q_1'=1, R'=2*A, U'=0, V'=0, W'=0, X'=free_11^2, Y'=free_15^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20==0 && A>=J && 0>=1+free_11 && 0>=1+free_15 ], cost: 10+4*A-4*J-2*Q_1 231: f37 -> f91 : J'=1+A, L'=free_15, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=0, X'=free_11^2, Y'=free_15^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && 0>=1+free_20 && A>=J && 0>=1+free_11 && 0>=1+free_15 ], cost: 10+4*A-4*J-2*Q_1 232: f37 -> f91 : J'=1+A, L'=free_15, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=0, X'=free_11^2, Y'=free_15^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && A>=J && 0>=1+free_11 && 0>=1+free_15 ], cost: 10+4*A-4*J-2*Q_1 233: f37 -> f91 : J'=1+A, L'=0, P'=0, Q_1'=1, R'=2*A, U'=0, V'=0, W'=free_6^2, X'=free_12^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20==0 && A>=J && 0>=1+free_6 && 0>=1+free_12 ], cost: 10+4*A-4*J-2*Q_1 234: f37 -> f91 : J'=1+A, L'=0, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=free_6^2, X'=free_12^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && 0>=1+free_20 && A>=J && 0>=1+free_6 && 0>=1+free_12 ], cost: 10+4*A-4*J-2*Q_1 235: f37 -> f91 : J'=1+A, L'=0, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=free_6^2, X'=free_12^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && A>=J && 0>=1+free_6 && 0>=1+free_12 ], cost: 10+4*A-4*J-2*Q_1 236: f37 -> f91 : J'=1+A, L'=0, P'=0, Q_1'=1, R'=2*A, U'=0, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20==0 && 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 10+4*A-4*J-2*Q_1 237: f37 -> f91 : J'=1+A, L'=0, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && 0>=1+free_20 && 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 10+4*A-4*J-2*Q_1 238: f37 -> f91 : J'=1+A, L'=0, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 10+4*A-4*J-2*Q_1 239: f37 -> [32] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && 0>=1+free_19 && J>=1+D ], cost: 7-4*Q_1 240: f37 -> [32] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && free_21>=1 && J>=1+D ], cost: 7-4*Q_1 241: f37 -> [32] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && 0>=1+free_19 ], cost: 8+D-J-4*Q_1 242: f37 -> [32] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && free_21>=1 ], cost: 8+D-J-4*Q_1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 Applied pruning (of leafs and parallel rules): Start location: f2 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 119: f2 -> f37 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 122: f2 -> f37 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 125: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 126: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A ], cost: 5+2*A-J 127: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && P>=1 && 1+2*A>=1+A ], cost: 5+2*A-J 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 128: f37 -> [28] : [ N>=O && 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 2+meter 159: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && A>=J ], cost: 6+A-J 160: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && A>=J ], cost: 6+A-J 161: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 162: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 163: f37 -> [30] : [ N>=O && 0>=Q_1 && P==0 && J>=1+E ], cost: 3-2*Q_1 229: f37 -> f91 : J'=1+A, L'=free_14, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=0, X'=0, Y'=free_14^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && A>=J && 0>=1+free_14 ], cost: 10+4*A-4*J-2*Q_1 232: f37 -> f91 : J'=1+A, L'=free_15, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=0, X'=free_11^2, Y'=free_15^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && A>=J && 0>=1+free_11 && 0>=1+free_15 ], cost: 10+4*A-4*J-2*Q_1 234: f37 -> f91 : J'=1+A, L'=0, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=free_6^2, X'=free_12^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && 0>=1+free_20 && A>=J && 0>=1+free_6 && 0>=1+free_12 ], cost: 10+4*A-4*J-2*Q_1 237: f37 -> f91 : J'=1+A, L'=0, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && 0>=1+free_20 && 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 10+4*A-4*J-2*Q_1 238: f37 -> f91 : J'=1+A, L'=0, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 10+4*A-4*J-2*Q_1 239: f37 -> [32] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && 0>=1+free_19 && J>=1+D ], cost: 7-4*Q_1 240: f37 -> [32] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && free_21>=1 && J>=1+D ], cost: 7-4*Q_1 241: f37 -> [32] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && 0>=1+free_19 ], cost: 8+D-J-4*Q_1 242: f37 -> [32] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && free_21>=1 ], cost: 8+D-J-4*Q_1 32: f91 -> f37 : C'=B+C, O'=1+O, [ J>=1+A ], cost: 1 Eliminated locations (on tree-shaped paths): Start location: f2 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 119: f2 -> f37 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 122: f2 -> f37 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 125: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 126: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A ], cost: 5+2*A-J 127: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && P>=1 && 1+2*A>=1+A ], cost: 5+2*A-J 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 128: f37 -> [28] : [ N>=O && 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 2+meter 159: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && A>=J ], cost: 6+A-J 160: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && A>=J ], cost: 6+A-J 161: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 162: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 163: f37 -> [30] : [ N>=O && 0>=Q_1 && P==0 && J>=1+E ], cost: 3-2*Q_1 239: f37 -> [32] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && 0>=1+free_19 && J>=1+D ], cost: 7-4*Q_1 240: f37 -> [32] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && free_21>=1 && J>=1+D ], cost: 7-4*Q_1 241: f37 -> [32] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && 0>=1+free_19 ], cost: 8+D-J-4*Q_1 242: f37 -> [32] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && free_21>=1 ], cost: 8+D-J-4*Q_1 243: f37 -> f37 : C'=B+C, J'=1+A, L'=free_14, O'=1+O, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=0, X'=0, Y'=free_14^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && A>=J && 0>=1+free_14 ], cost: 11+4*A-4*J-2*Q_1 244: f37 -> f37 : C'=B+C, J'=1+A, L'=free_15, O'=1+O, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=0, X'=free_11^2, Y'=free_15^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && A>=J && 0>=1+free_11 && 0>=1+free_15 ], cost: 11+4*A-4*J-2*Q_1 245: f37 -> f37 : C'=B+C, J'=1+A, L'=0, O'=1+O, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=free_6^2, X'=free_12^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && 0>=1+free_20 && A>=J && 0>=1+free_6 && 0>=1+free_12 ], cost: 11+4*A-4*J-2*Q_1 246: f37 -> f37 : C'=B+C, J'=1+A, L'=0, O'=1+O, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && 0>=1+free_20 && 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 11+4*A-4*J-2*Q_1 247: f37 -> f37 : C'=B+C, J'=1+A, L'=0, O'=1+O, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 11+4*A-4*J-2*Q_1 Accelerating simple loops of location 4. Accelerating the following rules: 243: f37 -> f37 : C'=B+C, J'=1+A, L'=free_14, O'=1+O, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=0, X'=0, Y'=free_14^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && A>=J && 0>=1+free_14 ], cost: 11+4*A-4*J-2*Q_1 244: f37 -> f37 : C'=B+C, J'=1+A, L'=free_15, O'=1+O, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=0, X'=free_11^2, Y'=free_15^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && A>=J && 0>=1+free_11 && 0>=1+free_15 ], cost: 11+4*A-4*J-2*Q_1 245: f37 -> f37 : C'=B+C, J'=1+A, L'=0, O'=1+O, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=free_6^2, X'=free_12^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && 0>=1+free_20 && A>=J && 0>=1+free_6 && 0>=1+free_12 ], cost: 11+4*A-4*J-2*Q_1 246: f37 -> f37 : C'=B+C, J'=1+A, L'=0, O'=1+O, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && 0>=1+free_20 && 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 11+4*A-4*J-2*Q_1 247: f37 -> f37 : C'=B+C, J'=1+A, L'=0, O'=1+O, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 11+4*A-4*J-2*Q_1 Found no metering function for rule 243. Found no metering function for rule 244. Found no metering function for rule 245. Found no metering function for rule 246. Found no metering function for rule 247. Removing the simple loops:. Accelerated all simple loops using metering functions (where possible): Start location: f2 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 119: f2 -> f37 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 122: f2 -> f37 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 125: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 126: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A ], cost: 5+2*A-J 127: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && P>=1 && 1+2*A>=1+A ], cost: 5+2*A-J 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 128: f37 -> [28] : [ N>=O && 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 2+meter 159: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && A>=J ], cost: 6+A-J 160: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && A>=J ], cost: 6+A-J 161: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 162: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 163: f37 -> [30] : [ N>=O && 0>=Q_1 && P==0 && J>=1+E ], cost: 3-2*Q_1 239: f37 -> [32] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && 0>=1+free_19 && J>=1+D ], cost: 7-4*Q_1 240: f37 -> [32] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && free_21>=1 && J>=1+D ], cost: 7-4*Q_1 241: f37 -> [32] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && 0>=1+free_19 ], cost: 8+D-J-4*Q_1 242: f37 -> [32] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && free_21>=1 ], cost: 8+D-J-4*Q_1 243: f37 -> f37 : C'=B+C, J'=1+A, L'=free_14, O'=1+O, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=0, X'=0, Y'=free_14^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && A>=J && 0>=1+free_14 ], cost: 11+4*A-4*J-2*Q_1 244: f37 -> f37 : C'=B+C, J'=1+A, L'=free_15, O'=1+O, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=0, X'=free_11^2, Y'=free_15^2, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && A>=J && 0>=1+free_11 && 0>=1+free_15 ], cost: 11+4*A-4*J-2*Q_1 245: f37 -> f37 : C'=B+C, J'=1+A, L'=0, O'=1+O, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=0, W'=free_6^2, X'=free_12^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && 0>=1+free_20 && A>=J && 0>=1+free_6 && 0>=1+free_12 ], cost: 11+4*A-4*J-2*Q_1 246: f37 -> f37 : C'=B+C, J'=1+A, L'=0, O'=1+O, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && 0>=1+free_20 && 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 11+4*A-4*J-2*Q_1 247: f37 -> f37 : C'=B+C, J'=1+A, L'=0, O'=1+O, P'=0, Q_1'=1, R'=2*A, U'=free_20^2, V'=free_8^2, W'=0, X'=free_11^2, Y'=0, Z'=free_21^2, [ N>=O && 0>=Q_1 && P==0 && J>=1+E && free_21>=1 && J>=1+D && free_20>=1 && 0>=1+free_8 && A>=J && 0>=1+free_11 ], cost: 11+4*A-4*J-2*Q_1 Chained accelerated rules (with incoming rules): Start location: f2 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 119: f2 -> f37 : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 122: f2 -> f37 : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 125: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 126: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A ], cost: 5+2*A-J 127: f2 -> f37 : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && P>=1 && 1+2*A>=1+A ], cost: 5+2*A-J 66: f37 -> f118 : C'=C*E, J'=1+A, [ O>=1+N && A>=J ], cost: 2+A-J 128: f37 -> [28] : [ N>=O && 0>=Q_1 && P==0 && E>=J && 2*meter==-J+E && meter>=1 ], cost: 2+meter 159: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && A>=J ], cost: 6+A-J 160: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && A>=J ], cost: 6+A-J 161: f37 -> [30] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 162: f37 -> [30] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A ], cost: 5-4*Q_1 163: f37 -> [30] : [ N>=O && 0>=Q_1 && P==0 && J>=1+E ], cost: 3-2*Q_1 239: f37 -> [32] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && 0>=1+free_19 && J>=1+D ], cost: 7-4*Q_1 240: f37 -> [32] : [ N>=O && 0>=1+P && 0>=Q_1 && J>=1+A && free_21>=1 && J>=1+D ], cost: 7-4*Q_1 241: f37 -> [32] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && 0>=1+free_19 ], cost: 8+D-J-4*Q_1 242: f37 -> [32] : [ N>=O && P>=1 && 0>=Q_1 && J>=1+A && D>=J && free_21>=1 ], cost: 8+D-J-4*Q_1 Eliminated locations (on tree-shaped paths): Start location: f2 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 248: f2 -> [30] : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 1+2*A>=1+A && P==0 && N>=O && 0>=Q_1 && 1+2*A>=1+4*A ], cost: 7+2*A-J-2*Q_1 249: f2 -> [30] : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 1+2*A>=1+A && P==0 && N>=O && 0>=Q_1 && 1+2*A>=1+4*A ], cost: 7+2*A-J-2*Q_1 250: f2 -> [30] : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 1+2*A>=1+A && P==0 && N>=O && 0>=Q_1 && 1+2*A>=1+4*A ], cost: 7+2*A-J-2*Q_1 251: f2 -> [30] : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A && N>=O && 0>=Q_1 ], cost: 10+2*A-J-4*Q_1 252: f2 -> [32] : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A && N>=O && 0>=Q_1 && 0>=1+free_19 ], cost: 12+2*A-J-4*Q_1 253: f2 -> [32] : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A && N>=O && 0>=Q_1 && free_21>=1 ], cost: 12+2*A-J-4*Q_1 254: f2 -> [30] : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && P>=1 && 1+2*A>=1+A && N>=O && 0>=Q_1 ], cost: 10+2*A-J-4*Q_1 255: f2 -> [34] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 256: f2 -> [34] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 257: f2 -> [34] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 258: f2 -> [34] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A ], cost: 5+2*A-J 259: f2 -> [34] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && P>=1 && 1+2*A>=1+A ], cost: 5+2*A-J Applied pruning (of leafs and parallel rules): Start location: f2 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 248: f2 -> [30] : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 1+2*A>=1+A && P==0 && N>=O && 0>=Q_1 && 1+2*A>=1+4*A ], cost: 7+2*A-J-2*Q_1 249: f2 -> [30] : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 1+2*A>=1+A && P==0 && N>=O && 0>=Q_1 && 1+2*A>=1+4*A ], cost: 7+2*A-J-2*Q_1 250: f2 -> [30] : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 1+2*A>=1+A && P==0 && N>=O && 0>=Q_1 && 1+2*A>=1+4*A ], cost: 7+2*A-J-2*Q_1 251: f2 -> [30] : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A && N>=O && 0>=Q_1 ], cost: 10+2*A-J-4*Q_1 252: f2 -> [32] : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A && N>=O && 0>=Q_1 && 0>=1+free_19 ], cost: 12+2*A-J-4*Q_1 253: f2 -> [32] : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A && N>=O && 0>=Q_1 && free_21>=1 ], cost: 12+2*A-J-4*Q_1 254: f2 -> [30] : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && P>=1 && 1+2*A>=1+A && N>=O && 0>=Q_1 ], cost: 10+2*A-J-4*Q_1 255: f2 -> [34] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 256: f2 -> [34] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 257: f2 -> [34] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 258: f2 -> [34] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A ], cost: 5+2*A-J 259: f2 -> [34] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && P>=1 && 1+2*A>=1+A ], cost: 5+2*A-J ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: f2 73: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ], cost: 2+2*A-J 74: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J ], cost: 2+2*A-J 75: f2 -> [27] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J ], cost: 2+2*A-J 248: f2 -> [30] : B'=0, C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=1, L'=0, M'=0, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 1+2*A>=1+A && P==0 && N>=O && 0>=Q_1 && 1+2*A>=1+4*A ], cost: 7+2*A-J-2*Q_1 249: f2 -> [30] : B'=1-2*free_3*(1+2*A-J)+2*A-J+free_3^2*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_3, L'=1-free_3, M'=1+free_3^2-2*free_3, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 1+2*A>=1+A && P==0 && N>=O && 0>=Q_1 && 1+2*A>=1+4*A ], cost: 7+2*A-J-2*Q_1 250: f2 -> [30] : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, P'=0, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 1+2*A>=1+A && P==0 && N>=O && 0>=Q_1 && 1+2*A>=1+4*A ], cost: 7+2*A-J-2*Q_1 251: f2 -> [30] : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A && N>=O && 0>=Q_1 ], cost: 10+2*A-J-4*Q_1 252: f2 -> [32] : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A && N>=O && 0>=Q_1 && 0>=1+free_19 ], cost: 12+2*A-J-4*Q_1 253: f2 -> [32] : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A && N>=O && 0>=Q_1 && free_21>=1 ], cost: 12+2*A-J-4*Q_1 254: f2 -> [30] : B'=1+free_4^2*(1+2*A-J)+2*A-J-2*free_4*(1+2*A-J), C'=0, D'=2*A, E'=4*A, F'=3+4*A, G'=4+4*A, H'=A, Q'=free, J'=1+2*A, K'=free_4, L'=1-free_4, M'=1-2*free_4+free_4^2, [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && P>=1 && 1+2*A>=1+A && N>=O && 0>=Q_1 ], cost: 10+2*A-J-4*Q_1 255: f2 -> [34] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 256: f2 -> [34] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && free_3>=2 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 257: f2 -> [34] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 1+2*A>=1+A && P==0 ], cost: 4+2*A-J 258: f2 -> [34] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && 0>=1+P && 1+2*A>=1+A ], cost: 5+2*A-J 259: f2 -> [34] : [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 0>=free_4 && 2*A>=J && P>=1 && 1+2*A>=1+A ], cost: 5+2*A-J Computing asymptotic complexity for rule 73 Solved the limit problem by the following transformations: Created initial limit problem: -1+free_1+free_1*A (+/+!), 1-free_1+free (+/+!), 2+2*A-J (+), -1+free_2*A+free_2 (+/+!), 1+2*A-J (+/+!), 2-free_2*A (+/+!), 1+free_2-free (+/+!) [not solved] removing all constraints (solved by SMT) resulting limit problem: [solved] applying transformation rule (C) using substitution {free_1==1,free_2==1,A==1,J==-n,free==1} resulting limit problem: [solved] Solution: free_1 / 1 free_2 / 1 A / 1 J / -n free / 1 Resulting cost 4+n has complexity: Poly(n^1) Found new complexity Poly(n^1). Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Poly(n^1) Cpx degree: 1 Solved cost: 4+n Rule cost: 2+2*A-J Rule guard: [ free_1+free_1*A>=2 && free>=free_1 && 1>=free_2*A && free_2*A+free_2>=2 && free_2>=free && 2*A>=J ] WORST_CASE(Omega(n^1),?) ---------------------------------------- (4) BOUNDS(n^1, INF)