298.10/289.76 WORST_CASE(Omega(n^1), O(n^1)) 298.10/289.78 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 298.10/289.78 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 298.10/289.78 298.10/289.78 298.10/289.78 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, nat(-4 * Arg_2 + max(-4 + 4 * Arg_4, -4 + -4 * Arg_0 + 4 * Arg_4)) + nat(-4 * Arg_2 + 4 * Arg_4) + max(6 + -1 * Arg_2 + Arg_4, 7) + nat(-3 * Arg_2 + 3 * Arg_4) + nat(-2 + -2 * Arg_2 + 2 * Arg_4)). 298.10/289.78 298.10/289.78 (0) CpxIntTrs 298.10/289.78 (1) Koat2 Proof [FINISHED, 4039 ms] 298.10/289.78 (2) BOUNDS(1, nat(-4 * Arg_2 + max(-4 + 4 * Arg_4, -4 + -4 * Arg_0 + 4 * Arg_4)) + nat(-4 * Arg_2 + 4 * Arg_4) + max(6 + -1 * Arg_2 + Arg_4, 7) + nat(-3 * Arg_2 + 3 * Arg_4) + nat(-2 + -2 * Arg_2 + 2 * Arg_4)) 298.10/289.78 (3) Loat Proof [FINISHED, 288.6 s] 298.10/289.78 (4) BOUNDS(n^1, INF) 298.10/289.78 298.10/289.78 298.10/289.78 ---------------------------------------- 298.10/289.78 298.10/289.78 (0) 298.10/289.78 Obligation: 298.10/289.78 Complexity Int TRS consisting of the following rules: 298.10/289.78 start(A, B, C, D, E, F) -> Com_1(stop(A, B, C, D, E, F)) :|: 0 >= A + 1 && B >= C && B <= C && D >= E && D <= E && F >= A && F <= A 298.10/289.78 start(A, B, C, D, E, F) -> Com_1(stop(A, B, C, D, E, F)) :|: A >= 0 && C >= E + 1 && B >= C && B <= C && D >= E && D <= E && F >= A && F <= A 298.10/289.78 start(A, B, C, D, E, F) -> Com_1(lbl91(A, B, C, D - 1 - F, E, F)) :|: A >= 0 && E >= C && B >= C && B <= C && D >= E && D <= E && F >= A && F <= A 298.10/289.78 start(A, B, C, D, E, F) -> Com_1(lbl101(A, 1 + F + B, C, D, E, F)) :|: A >= 0 && E >= C && B >= C && B <= C && D >= E && D <= E && F >= A && F <= A 298.10/289.78 lbl91(A, B, C, D, E, F) -> Com_1(stop(A, B, C, D, E, F)) :|: B >= D + 1 && B >= C && A >= 0 && A + D + 1 >= B && E >= A + D + 1 && F >= A && F <= A 298.10/289.78 lbl91(A, B, C, D, E, F) -> Com_1(stop(A, B, C, D, E, F)) :|: D >= B && 0 >= A + 1 && B >= C && A >= 0 && A + D + 1 >= B && E >= A + D + 1 && F >= A && F <= A 298.10/289.78 lbl91(A, B, C, D, E, F) -> Com_1(lbl91(A, B, C, D - 1 - F, E, F)) :|: A >= 0 && D >= B && B >= C && A + D + 1 >= B && E >= A + D + 1 && F >= A && F <= A 298.10/289.78 lbl91(A, B, C, D, E, F) -> Com_1(lbl101(A, 1 + F + B, C, D, E, F)) :|: A >= 0 && D >= B && B >= C && A + D + 1 >= B && E >= A + D + 1 && F >= A && F <= A 298.10/289.78 lbl101(A, B, C, D, E, F) -> Com_1(stop(A, B, C, D, E, F)) :|: B >= D + 1 && E >= D && A >= 0 && B >= A + C + 1 && A + D + 1 >= B && F >= A && F <= A 298.10/289.78 lbl101(A, B, C, D, E, F) -> Com_1(stop(A, B, C, D, E, F)) :|: D >= B && 0 >= A + 1 && E >= D && A >= 0 && B >= A + C + 1 && A + D + 1 >= B && F >= A && F <= A 298.10/289.78 lbl101(A, B, C, D, E, F) -> Com_1(lbl91(A, B, C, D - 1 - F, E, F)) :|: A >= 0 && D >= B && E >= D && B >= A + C + 1 && A + D + 1 >= B && F >= A && F <= A 298.10/289.78 lbl101(A, B, C, D, E, F) -> Com_1(lbl101(A, 1 + F + B, C, D, E, F)) :|: A >= 0 && D >= B && E >= D && B >= A + C + 1 && A + D + 1 >= B && F >= A && F <= A 298.10/289.78 start0(A, B, C, D, E, F) -> Com_1(start(A, C, C, E, E, A)) :|: TRUE 298.10/289.78 298.10/289.78 The start-symbols are:[start0_6] 298.10/289.78 298.10/289.78 298.10/289.78 ---------------------------------------- 298.10/289.78 298.10/289.78 (1) Koat2 Proof (FINISHED) 298.10/289.78 YES( ?, 7+max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2])+max([0, -1+Arg_4-Arg_2])+max([0, -4*Arg_2+max([4*(-1+Arg_4-Arg_0), 4*(-1+Arg_4)])])+max([0, Arg_4-Arg_2])+max([0, -1+Arg_4-Arg_2])+max([0, -4*Arg_2+4*Arg_4])+max([0, Arg_4-Arg_2]) {O(n)}) 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Initial Complexity Problem: 298.10/289.78 298.10/289.78 Start: start0 298.10/289.78 298.10/289.78 Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5 298.10/289.78 298.10/289.78 Temp_Vars: 298.10/289.78 298.10/289.78 Locations: lbl101, lbl91, start, start0, stop 298.10/289.78 298.10/289.78 Transitions: 298.10/289.78 298.10/289.78 lbl101(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl101(Arg_0,1+Arg_5+Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5 <= Arg_0 && 0 <= Arg_5 && 0 <= Arg_0+Arg_5 && Arg_0 <= Arg_5 && Arg_3 <= Arg_4 && Arg_2 <= Arg_4 && Arg_2 <= Arg_3 && 1+Arg_2 <= Arg_1 && 0 <= Arg_0 && 0 <= Arg_0 && Arg_1 <= Arg_3 && Arg_3 <= Arg_4 && Arg_0+Arg_2+1 <= Arg_1 && Arg_1 <= Arg_0+Arg_3+1 && Arg_5 <= Arg_0 && Arg_0 <= Arg_5 298.10/289.78 298.10/289.78 lbl101(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl91(Arg_0,Arg_1,Arg_2,Arg_3-1-Arg_5,Arg_4,Arg_5):|:Arg_5 <= Arg_0 && 0 <= Arg_5 && 0 <= Arg_0+Arg_5 && Arg_0 <= Arg_5 && Arg_3 <= Arg_4 && Arg_2 <= Arg_4 && Arg_2 <= Arg_3 && 1+Arg_2 <= Arg_1 && 0 <= Arg_0 && 0 <= Arg_0 && Arg_1 <= Arg_3 && Arg_3 <= Arg_4 && Arg_0+Arg_2+1 <= Arg_1 && Arg_1 <= Arg_0+Arg_3+1 && Arg_5 <= Arg_0 && Arg_0 <= Arg_5 298.10/289.78 298.10/289.78 lbl101(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5 <= Arg_0 && 0 <= Arg_5 && 0 <= Arg_0+Arg_5 && Arg_0 <= Arg_5 && Arg_3 <= Arg_4 && Arg_2 <= Arg_4 && Arg_2 <= Arg_3 && 1+Arg_2 <= Arg_1 && 0 <= Arg_0 && Arg_3+1 <= Arg_1 && Arg_3 <= Arg_4 && 0 <= Arg_0 && Arg_0+Arg_2+1 <= Arg_1 && Arg_1 <= Arg_0+Arg_3+1 && Arg_5 <= Arg_0 && Arg_0 <= Arg_5 298.10/289.78 298.10/289.78 lbl91(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl101(Arg_0,1+Arg_5+Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5 <= Arg_0 && 0 <= Arg_5 && 0 <= Arg_0+Arg_5 && Arg_0 <= Arg_5 && 1+Arg_3 <= Arg_4 && Arg_2 <= Arg_4 && Arg_1 <= Arg_4 && Arg_2 <= Arg_1 && 0 <= Arg_0 && 0 <= Arg_0 && Arg_1 <= Arg_3 && Arg_2 <= Arg_1 && Arg_1 <= Arg_0+Arg_3+1 && Arg_0+Arg_3+1 <= Arg_4 && Arg_5 <= Arg_0 && Arg_0 <= Arg_5 298.10/289.78 298.10/289.78 lbl91(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl91(Arg_0,Arg_1,Arg_2,Arg_3-1-Arg_5,Arg_4,Arg_5):|:Arg_5 <= Arg_0 && 0 <= Arg_5 && 0 <= Arg_0+Arg_5 && Arg_0 <= Arg_5 && 1+Arg_3 <= Arg_4 && Arg_2 <= Arg_4 && Arg_1 <= Arg_4 && Arg_2 <= Arg_1 && 0 <= Arg_0 && 0 <= Arg_0 && Arg_1 <= Arg_3 && Arg_2 <= Arg_1 && Arg_1 <= Arg_0+Arg_3+1 && Arg_0+Arg_3+1 <= Arg_4 && Arg_5 <= Arg_0 && Arg_0 <= Arg_5 298.10/289.78 298.10/289.78 lbl91(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5 <= Arg_0 && 0 <= Arg_5 && 0 <= Arg_0+Arg_5 && Arg_0 <= Arg_5 && 1+Arg_3 <= Arg_4 && Arg_2 <= Arg_4 && Arg_1 <= Arg_4 && Arg_2 <= Arg_1 && 0 <= Arg_0 && Arg_3+1 <= Arg_1 && Arg_2 <= Arg_1 && 0 <= Arg_0 && Arg_1 <= Arg_0+Arg_3+1 && Arg_0+Arg_3+1 <= Arg_4 && Arg_5 <= Arg_0 && Arg_0 <= Arg_5 298.10/289.78 298.10/289.78 start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl101(Arg_0,1+Arg_5+Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5 <= Arg_0 && Arg_0 <= Arg_5 && Arg_4 <= Arg_3 && Arg_3 <= Arg_4 && Arg_2 <= Arg_1 && Arg_1 <= Arg_2 && 0 <= Arg_0 && Arg_2 <= Arg_4 && Arg_1 <= Arg_2 && Arg_2 <= Arg_1 && Arg_3 <= Arg_4 && Arg_4 <= Arg_3 && Arg_5 <= Arg_0 && Arg_0 <= Arg_5 298.10/289.78 298.10/289.78 start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl91(Arg_0,Arg_1,Arg_2,Arg_3-1-Arg_5,Arg_4,Arg_5):|:Arg_5 <= Arg_0 && Arg_0 <= Arg_5 && Arg_4 <= Arg_3 && Arg_3 <= Arg_4 && Arg_2 <= Arg_1 && Arg_1 <= Arg_2 && 0 <= Arg_0 && Arg_2 <= Arg_4 && Arg_1 <= Arg_2 && Arg_2 <= Arg_1 && Arg_3 <= Arg_4 && Arg_4 <= Arg_3 && Arg_5 <= Arg_0 && Arg_0 <= Arg_5 298.10/289.78 298.10/289.78 start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5 <= Arg_0 && Arg_0 <= Arg_5 && Arg_4 <= Arg_3 && Arg_3 <= Arg_4 && Arg_2 <= Arg_1 && Arg_1 <= Arg_2 && Arg_0+1 <= 0 && Arg_1 <= Arg_2 && Arg_2 <= Arg_1 && Arg_3 <= Arg_4 && Arg_4 <= Arg_3 && Arg_5 <= Arg_0 && Arg_0 <= Arg_5 298.10/289.78 298.10/289.78 start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5 <= Arg_0 && Arg_0 <= Arg_5 && Arg_4 <= Arg_3 && Arg_3 <= Arg_4 && Arg_2 <= Arg_1 && Arg_1 <= Arg_2 && 0 <= Arg_0 && Arg_4+1 <= Arg_2 && Arg_1 <= Arg_2 && Arg_2 <= Arg_1 && Arg_3 <= Arg_4 && Arg_4 <= Arg_3 && Arg_5 <= Arg_0 && Arg_0 <= Arg_5 298.10/289.78 298.10/289.78 start0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> start(Arg_0,Arg_2,Arg_2,Arg_4,Arg_4,Arg_0):|: 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Timebounds: 298.10/289.78 298.10/289.78 Overall timebound: 7+max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2])+max([0, -1+Arg_4-Arg_2])+max([0, -4*Arg_2+max([4*(-1+Arg_4-Arg_0), 4*(-1+Arg_4)])])+max([0, Arg_4-Arg_2])+max([0, -1+Arg_4-Arg_2])+max([0, -4*Arg_2+4*Arg_4])+max([0, Arg_4-Arg_2]) {O(n)} 298.10/289.78 298.10/289.78 8: lbl101->stop: 1 {O(1)} 298.10/289.78 298.10/289.78 10: lbl101->lbl91: max([0, -4*Arg_2+4*Arg_4])+max([0, -4*Arg_2+max([4*(-1+Arg_4-Arg_0), 4*(-1+Arg_4)])]) {O(n)} 298.10/289.78 298.10/289.78 11: lbl101->lbl101: max([0, Arg_4-Arg_2])+max([0, -1+Arg_4-Arg_2]) {O(n)} 298.10/289.78 298.10/289.78 4: lbl91->stop: 1 {O(1)} 298.10/289.78 298.10/289.78 6: lbl91->lbl91: max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2]) {O(n)} 298.10/289.78 298.10/289.78 7: lbl91->lbl101: max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2]) {O(n)} 298.10/289.78 298.10/289.78 0: start->stop: 1 {O(1)} 298.10/289.78 298.10/289.78 1: start->stop: 1 {O(1)} 298.10/289.78 298.10/289.78 2: start->lbl91: 1 {O(1)} 298.10/289.78 298.10/289.78 3: start->lbl101: 1 {O(1)} 298.10/289.78 298.10/289.78 12: start0->start: 1 {O(1)} 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Costbounds: 298.10/289.78 298.10/289.78 Overall costbound: 7+max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2])+max([0, -1+Arg_4-Arg_2])+max([0, -4*Arg_2+max([4*(-1+Arg_4-Arg_0), 4*(-1+Arg_4)])])+max([0, Arg_4-Arg_2])+max([0, -1+Arg_4-Arg_2])+max([0, -4*Arg_2+4*Arg_4])+max([0, Arg_4-Arg_2]) {O(n)} 298.10/289.78 298.10/289.78 8: lbl101->stop: 1 {O(1)} 298.10/289.78 298.10/289.78 10: lbl101->lbl91: max([0, -4*Arg_2+4*Arg_4])+max([0, -4*Arg_2+max([4*(-1+Arg_4-Arg_0), 4*(-1+Arg_4)])]) {O(n)} 298.10/289.78 298.10/289.78 11: lbl101->lbl101: max([0, Arg_4-Arg_2])+max([0, -1+Arg_4-Arg_2]) {O(n)} 298.10/289.78 298.10/289.78 4: lbl91->stop: 1 {O(1)} 298.10/289.78 298.10/289.78 6: lbl91->lbl91: max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2]) {O(n)} 298.10/289.78 298.10/289.78 7: lbl91->lbl101: max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2]) {O(n)} 298.10/289.78 298.10/289.78 0: start->stop: 1 {O(1)} 298.10/289.78 298.10/289.78 1: start->stop: 1 {O(1)} 298.10/289.78 298.10/289.78 2: start->lbl91: 1 {O(1)} 298.10/289.78 298.10/289.78 3: start->lbl101: 1 {O(1)} 298.10/289.78 298.10/289.78 12: start0->start: 1 {O(1)} 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Sizebounds: 298.10/289.78 298.10/289.78 `Lower: 298.10/289.78 298.10/289.78 8: lbl101->stop, Arg_0: 0 {O(1)} 298.10/289.78 298.10/289.78 8: lbl101->stop, Arg_1: min([Arg_2, -(-1-Arg_2)]) {O(n)} 298.10/289.78 298.10/289.78 8: lbl101->stop, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 8: lbl101->stop, Arg_3: min([Arg_4, -((max([0, -4*Arg_2+4*Arg_4])+max([0, -4*Arg_2+max([4*(-1+Arg_4-Arg_0), 4*(-1+Arg_4)])]))*max([1, 1+Arg_0])+(max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2]))*max([1, 1+Arg_0])+max([0, max([-(Arg_4), max([-(Arg_4), 1+Arg_0-Arg_4])])]))]) {O(n^2)} 298.10/289.78 298.10/289.78 8: lbl101->stop, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 8: lbl101->stop, Arg_5: 0 {O(1)} 298.10/289.78 298.10/289.78 10: lbl101->lbl91, Arg_0: 0 {O(1)} 298.10/289.78 298.10/289.78 10: lbl101->lbl91, Arg_1: min([Arg_2, -(-1-Arg_2)]) {O(n)} 298.10/289.78 298.10/289.78 10: lbl101->lbl91, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 10: lbl101->lbl91, Arg_3: min([0, min([Arg_4, min([Arg_4, -(1+Arg_0-Arg_4)])])])+(min([0, -(-4*Arg_2+4*Arg_4)])-max([0, -4*Arg_2+max([4*(-1+Arg_4-Arg_0), 4*(-1+Arg_4)])]))*max([1, 1+Arg_0])+(min([0, -(-1+Arg_4-Arg_2)])-max([0, Arg_4-Arg_2]))*max([1, 1+Arg_0]) {O(n^2)} 298.10/289.78 298.10/289.78 10: lbl101->lbl91, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 10: lbl101->lbl91, Arg_5: 0 {O(1)} 298.10/289.78 298.10/289.78 11: lbl101->lbl101, Arg_0: 0 {O(1)} 298.10/289.78 298.10/289.78 11: lbl101->lbl101, Arg_1: min([Arg_2, -(-1-Arg_2)]) {O(n)} 298.10/289.78 298.10/289.78 11: lbl101->lbl101, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 11: lbl101->lbl101, Arg_3: min([0, min([Arg_4, min([Arg_4, -(1+Arg_0-Arg_4)])])])+(min([0, -(-4*Arg_2+4*Arg_4)])-max([0, -4*Arg_2+max([4*(-1+Arg_4-Arg_0), 4*(-1+Arg_4)])]))*max([1, 1+Arg_0])+(min([0, -(-1+Arg_4-Arg_2)])-max([0, Arg_4-Arg_2]))*max([1, 1+Arg_0]) {O(n^2)} 298.10/289.78 298.10/289.78 11: lbl101->lbl101, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 11: lbl101->lbl101, Arg_5: 0 {O(1)} 298.10/289.78 298.10/289.78 4: lbl91->stop, Arg_0: 0 {O(1)} 298.10/289.78 298.10/289.78 4: lbl91->stop, Arg_1: min([Arg_2, min([Arg_2, -(-1-Arg_2)])]) {O(n)} 298.10/289.78 298.10/289.78 4: lbl91->stop, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 4: lbl91->stop, Arg_3: min([-((max([0, -4*Arg_2+4*Arg_4])+max([0, -4*Arg_2+max([4*(-1+Arg_4-Arg_0), 4*(-1+Arg_4)])]))*max([1, 1+Arg_0])+(max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2]))*max([1, 1+Arg_0])+max([0, max([-(Arg_4), max([-(Arg_4), 1+Arg_0-Arg_4])])])), min([-(1+Arg_0-Arg_4), -((max([0, -4*Arg_2+4*Arg_4])+max([0, -4*Arg_2+max([4*(-1+Arg_4-Arg_0), 4*(-1+Arg_4)])]))*max([1, 1+Arg_0])+(max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2]))*max([1, 1+Arg_0])+max([0, max([-(Arg_4), max([-(Arg_4), 1+Arg_0-Arg_4])])]))])]) {O(n^2)} 298.10/289.78 298.10/289.78 4: lbl91->stop, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 4: lbl91->stop, Arg_5: 0 {O(1)} 298.10/289.78 298.10/289.78 6: lbl91->lbl91, Arg_0: 0 {O(1)} 298.10/289.78 298.10/289.78 6: lbl91->lbl91, Arg_1: min([Arg_2, -(-1-Arg_2)]) {O(n)} 298.10/289.78 298.10/289.78 6: lbl91->lbl91, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 6: lbl91->lbl91, Arg_3: min([0, min([Arg_4, min([Arg_4, -(1+Arg_0-Arg_4)])])])+(min([0, -(-4*Arg_2+4*Arg_4)])-max([0, -4*Arg_2+max([4*(-1+Arg_4-Arg_0), 4*(-1+Arg_4)])]))*max([1, 1+Arg_0])+(min([0, -(-1+Arg_4-Arg_2)])-max([0, Arg_4-Arg_2]))*max([1, 1+Arg_0]) {O(n^2)} 298.10/289.78 298.10/289.78 6: lbl91->lbl91, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 6: lbl91->lbl91, Arg_5: 0 {O(1)} 298.10/289.78 298.10/289.78 7: lbl91->lbl101, Arg_0: 0 {O(1)} 298.10/289.78 298.10/289.78 7: lbl91->lbl101, Arg_1: min([Arg_2, -(-1-Arg_2)]) {O(n)} 298.10/289.78 298.10/289.78 7: lbl91->lbl101, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 7: lbl91->lbl101, Arg_3: min([0, min([Arg_4, min([Arg_4, -(1+Arg_0-Arg_4)])])])+(min([0, -(-4*Arg_2+4*Arg_4)])-max([0, -4*Arg_2+max([4*(-1+Arg_4-Arg_0), 4*(-1+Arg_4)])]))*max([1, 1+Arg_0])+(min([0, -(-1+Arg_4-Arg_2)])-max([0, Arg_4-Arg_2]))*max([1, 1+Arg_0]) {O(n^2)} 298.10/289.78 298.10/289.78 7: lbl91->lbl101, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 7: lbl91->lbl101, Arg_5: 0 {O(1)} 298.10/289.78 298.10/289.78 0: start->stop, Arg_0: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 0: start->stop, Arg_1: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 0: start->stop, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 0: start->stop, Arg_3: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 0: start->stop, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 0: start->stop, Arg_5: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 1: start->stop, Arg_0: 0 {O(1)} 298.10/289.78 298.10/289.78 1: start->stop, Arg_1: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 1: start->stop, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 1: start->stop, Arg_3: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 1: start->stop, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 1: start->stop, Arg_5: 0 {O(1)} 298.10/289.78 298.10/289.78 2: start->lbl91, Arg_0: 0 {O(1)} 298.10/289.78 298.10/289.78 2: start->lbl91, Arg_1: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 2: start->lbl91, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 2: start->lbl91, Arg_3: -1+Arg_4-Arg_0 {O(n)} 298.10/289.78 298.10/289.78 2: start->lbl91, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 2: start->lbl91, Arg_5: 0 {O(1)} 298.10/289.78 298.10/289.78 3: start->lbl101, Arg_0: 0 {O(1)} 298.10/289.78 298.10/289.78 3: start->lbl101, Arg_1: 1+Arg_2 {O(n)} 298.10/289.78 298.10/289.78 3: start->lbl101, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 3: start->lbl101, Arg_3: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 3: start->lbl101, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 3: start->lbl101, Arg_5: 0 {O(1)} 298.10/289.78 298.10/289.78 12: start0->start, Arg_0: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 12: start0->start, Arg_1: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 12: start0->start, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 12: start0->start, Arg_3: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 12: start0->start, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 12: start0->start, Arg_5: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 `Upper: 298.10/289.78 298.10/289.78 8: lbl101->stop, Arg_0: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 8: lbl101->stop, Arg_1: max([(max([0, Arg_4-Arg_2])+max([0, -1+Arg_4-Arg_2]))*max([1, 1+Arg_0])+(max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2]))*max([1, 1+Arg_0])+max([Arg_0, max([Arg_2, max([Arg_0, 1+Arg_2+Arg_0])])]), max([1+Arg_2+Arg_0, (max([0, Arg_4-Arg_2])+max([0, -1+Arg_4-Arg_2]))*max([1, 1+Arg_0])+(max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2]))*max([1, 1+Arg_0])+max([Arg_0, max([Arg_2, max([Arg_0, 1+Arg_2+Arg_0])])])])]) {O(n^2)} 298.10/289.78 298.10/289.78 8: lbl101->stop, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 8: lbl101->stop, Arg_3: max([Arg_4, max([Arg_4, -1+Arg_4])]) {O(n)} 298.10/289.78 298.10/289.78 8: lbl101->stop, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 8: lbl101->stop, Arg_5: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 10: lbl101->lbl91, Arg_0: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 10: lbl101->lbl91, Arg_1: (max([0, Arg_4-Arg_2])+max([0, -1+Arg_4-Arg_2]))*max([1, 1+Arg_0])+(max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2]))*max([1, 1+Arg_0])+max([Arg_0, max([Arg_2, max([Arg_0, 1+Arg_2+Arg_0])])]) {O(n^2)} 298.10/289.78 298.10/289.78 10: lbl101->lbl91, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 10: lbl101->lbl91, Arg_3: max([Arg_4, -1+Arg_4]) {O(n)} 298.10/289.78 298.10/289.78 10: lbl101->lbl91, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 10: lbl101->lbl91, Arg_5: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 11: lbl101->lbl101, Arg_0: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 11: lbl101->lbl101, Arg_1: (max([0, Arg_4-Arg_2])+max([0, -1+Arg_4-Arg_2]))*max([1, 1+Arg_0])+(max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2]))*max([1, 1+Arg_0])+max([Arg_0, max([Arg_2, max([Arg_0, 1+Arg_2+Arg_0])])]) {O(n^2)} 298.10/289.78 298.10/289.78 11: lbl101->lbl101, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 11: lbl101->lbl101, Arg_3: max([Arg_4, -1+Arg_4]) {O(n)} 298.10/289.78 298.10/289.78 11: lbl101->lbl101, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 11: lbl101->lbl101, Arg_5: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 4: lbl91->stop, Arg_0: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 4: lbl91->stop, Arg_1: max([Arg_2, (max([0, Arg_4-Arg_2])+max([0, -1+Arg_4-Arg_2]))*max([1, 1+Arg_0])+(max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2]))*max([1, 1+Arg_0])+max([Arg_0, max([Arg_2, max([Arg_0, 1+Arg_2+Arg_0])])])]) {O(n^2)} 298.10/289.78 298.10/289.78 4: lbl91->stop, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 4: lbl91->stop, Arg_3: max([Arg_4, -1+Arg_4]) {O(n)} 298.10/289.78 298.10/289.78 4: lbl91->stop, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 4: lbl91->stop, Arg_5: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 6: lbl91->lbl91, Arg_0: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 6: lbl91->lbl91, Arg_1: (max([0, Arg_4-Arg_2])+max([0, -1+Arg_4-Arg_2]))*max([1, 1+Arg_0])+(max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2]))*max([1, 1+Arg_0])+max([Arg_0, max([Arg_2, max([Arg_0, 1+Arg_2+Arg_0])])]) {O(n^2)} 298.10/289.78 298.10/289.78 6: lbl91->lbl91, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 6: lbl91->lbl91, Arg_3: max([Arg_4, -1+Arg_4]) {O(n)} 298.10/289.78 298.10/289.78 6: lbl91->lbl91, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 6: lbl91->lbl91, Arg_5: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 7: lbl91->lbl101, Arg_0: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 7: lbl91->lbl101, Arg_1: (max([0, Arg_4-Arg_2])+max([0, -1+Arg_4-Arg_2]))*max([1, 1+Arg_0])+(max([0, -1+Arg_4-Arg_2])+max([0, Arg_4-Arg_2]))*max([1, 1+Arg_0])+max([Arg_0, max([Arg_2, max([Arg_0, 1+Arg_2+Arg_0])])]) {O(n^2)} 298.10/289.78 298.10/289.78 7: lbl91->lbl101, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 7: lbl91->lbl101, Arg_3: max([Arg_4, -1+Arg_4]) {O(n)} 298.10/289.78 298.10/289.78 7: lbl91->lbl101, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 7: lbl91->lbl101, Arg_5: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 0: start->stop, Arg_0: -1 {O(1)} 298.10/289.78 298.10/289.78 0: start->stop, Arg_1: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 0: start->stop, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 0: start->stop, Arg_3: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 0: start->stop, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 0: start->stop, Arg_5: -1 {O(1)} 298.10/289.78 298.10/289.78 1: start->stop, Arg_0: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 1: start->stop, Arg_1: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 1: start->stop, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 1: start->stop, Arg_3: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 1: start->stop, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 1: start->stop, Arg_5: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 2: start->lbl91, Arg_0: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 2: start->lbl91, Arg_1: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 2: start->lbl91, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 2: start->lbl91, Arg_3: -1+Arg_4 {O(n)} 298.10/289.78 298.10/289.78 2: start->lbl91, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 2: start->lbl91, Arg_5: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 3: start->lbl101, Arg_0: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 3: start->lbl101, Arg_1: 1+Arg_2+Arg_0 {O(n)} 298.10/289.78 298.10/289.78 3: start->lbl101, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 3: start->lbl101, Arg_3: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 3: start->lbl101, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 3: start->lbl101, Arg_5: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 12: start0->start, Arg_0: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 12: start0->start, Arg_1: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 12: start0->start, Arg_2: Arg_2 {O(n)} 298.10/289.78 298.10/289.78 12: start0->start, Arg_3: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 12: start0->start, Arg_4: Arg_4 {O(n)} 298.10/289.78 298.10/289.78 12: start0->start, Arg_5: Arg_0 {O(n)} 298.10/289.78 298.10/289.78 298.10/289.78 ---------------------------------------- 298.10/289.78 298.10/289.78 (2) 298.10/289.78 BOUNDS(1, nat(-4 * Arg_2 + max(-4 + 4 * Arg_4, -4 + -4 * Arg_0 + 4 * Arg_4)) + nat(-4 * Arg_2 + 4 * Arg_4) + max(6 + -1 * Arg_2 + Arg_4, 7) + nat(-3 * Arg_2 + 3 * Arg_4) + nat(-2 + -2 * Arg_2 + 2 * Arg_4)) 298.10/289.78 298.10/289.78 ---------------------------------------- 298.10/289.78 298.10/289.78 (3) Loat Proof (FINISHED) 298.10/289.78 298.10/289.78 298.10/289.78 ### Pre-processing the ITS problem ### 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Initial linear ITS problem 298.10/289.78 298.10/289.78 Start location: start0 298.10/289.78 298.10/289.78 0: start -> stop : [ 0>=1+A && B==C && D==E && F==A ], cost: 1 298.10/289.78 298.10/289.78 1: start -> stop : [ A>=0 && C>=1+E && B==C && D==E && F==A ], cost: 1 298.10/289.78 298.10/289.78 2: start -> lbl91 : D'=-1-F+D, [ A>=0 && E>=C && B==C && D==E && F==A ], cost: 1 298.10/289.78 298.10/289.78 3: start -> lbl101 : B'=1+F+B, [ A>=0 && E>=C && B==C && D==E && F==A ], cost: 1 298.10/289.78 298.10/289.78 4: lbl91 -> stop : [ B>=1+D && B>=C && A>=0 && 1+D+A>=B && E>=1+D+A && F==A ], cost: 1 298.10/289.78 298.10/289.78 5: lbl91 -> stop : [ D>=B && 0>=1+A && B>=C && A>=0 && 1+D+A>=B && E>=1+D+A && F==A ], cost: 1 298.10/289.78 298.10/289.78 6: lbl91 -> lbl91 : D'=-1-F+D, [ A>=0 && D>=B && B>=C && 1+D+A>=B && E>=1+D+A && F==A ], cost: 1 298.10/289.78 298.10/289.78 7: lbl91 -> lbl101 : B'=1+F+B, [ A>=0 && D>=B && B>=C && 1+D+A>=B && E>=1+D+A && F==A ], cost: 1 298.10/289.78 298.10/289.78 8: lbl101 -> stop : [ B>=1+D && E>=D && A>=0 && B>=1+C+A && 1+D+A>=B && F==A ], cost: 1 298.10/289.78 298.10/289.78 9: lbl101 -> stop : [ D>=B && 0>=1+A && E>=D && A>=0 && B>=1+C+A && 1+D+A>=B && F==A ], cost: 1 298.10/289.78 298.10/289.78 10: lbl101 -> lbl91 : D'=-1-F+D, [ A>=0 && D>=B && E>=D && B>=1+C+A && 1+D+A>=B && F==A ], cost: 1 298.10/289.78 298.10/289.78 11: lbl101 -> lbl101 : B'=1+F+B, [ A>=0 && D>=B && E>=D && B>=1+C+A && 1+D+A>=B && F==A ], cost: 1 298.10/289.78 298.10/289.78 12: start0 -> start : B'=C, D'=E, F'=A, [], cost: 1 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Removed unreachable and leaf rules: 298.10/289.78 298.10/289.78 Start location: start0 298.10/289.78 298.10/289.78 2: start -> lbl91 : D'=-1-F+D, [ A>=0 && E>=C && B==C && D==E && F==A ], cost: 1 298.10/289.78 298.10/289.78 3: start -> lbl101 : B'=1+F+B, [ A>=0 && E>=C && B==C && D==E && F==A ], cost: 1 298.10/289.78 298.10/289.78 6: lbl91 -> lbl91 : D'=-1-F+D, [ A>=0 && D>=B && B>=C && 1+D+A>=B && E>=1+D+A && F==A ], cost: 1 298.10/289.78 298.10/289.78 7: lbl91 -> lbl101 : B'=1+F+B, [ A>=0 && D>=B && B>=C && 1+D+A>=B && E>=1+D+A && F==A ], cost: 1 298.10/289.78 298.10/289.78 10: lbl101 -> lbl91 : D'=-1-F+D, [ A>=0 && D>=B && E>=D && B>=1+C+A && 1+D+A>=B && F==A ], cost: 1 298.10/289.78 298.10/289.78 11: lbl101 -> lbl101 : B'=1+F+B, [ A>=0 && D>=B && E>=D && B>=1+C+A && 1+D+A>=B && F==A ], cost: 1 298.10/289.78 298.10/289.78 12: start0 -> start : B'=C, D'=E, F'=A, [], cost: 1 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 ### Simplification by acceleration and chaining ### 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Accelerating simple loops of location 1. 298.10/289.78 298.10/289.78 Accelerating the following rules: 298.10/289.78 298.10/289.78 6: lbl91 -> lbl91 : D'=-1-F+D, [ A>=0 && D>=B && B>=C && E>=1+D+A && F==A ], cost: 1 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Accelerated rule 6 with backward acceleration, yielding the new rule 13. 298.10/289.78 298.10/289.78 Removing the simple loops: 6. 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Accelerating simple loops of location 2. 298.10/289.78 298.10/289.78 Accelerating the following rules: 298.10/289.78 298.10/289.78 11: lbl101 -> lbl101 : B'=1+F+B, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A ], cost: 1 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Accelerated rule 11 with backward acceleration, yielding the new rule 14. 298.10/289.78 298.10/289.78 Removing the simple loops: 11. 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Accelerated all simple loops using metering functions (where possible): 298.10/289.78 298.10/289.78 Start location: start0 298.10/289.78 298.10/289.78 2: start -> lbl91 : D'=-1-F+D, [ A>=0 && E>=C && B==C && D==E && F==A ], cost: 1 298.10/289.78 298.10/289.78 3: start -> lbl101 : B'=1+F+B, [ A>=0 && E>=C && B==C && D==E && F==A ], cost: 1 298.10/289.78 298.10/289.78 7: lbl91 -> lbl101 : B'=1+F+B, [ A>=0 && D>=B && B>=C && E>=1+D+A && F==A ], cost: 1 298.10/289.78 298.10/289.78 13: lbl91 -> lbl91 : D'=D-k-F*k, [ A>=0 && D>=B && B>=C && E>=1+D+A && F==A && k>0 && 1+D-k-F*(-1+k)>=B && E>=2+D+A-k-F*(-1+k) ], cost: k 298.10/289.78 298.10/289.78 10: lbl101 -> lbl91 : D'=-1-F+D, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A ], cost: 1 298.10/289.78 298.10/289.78 14: lbl101 -> lbl101 : B'=k_1+k_1*F+B, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && k_1>0 && D>=-1+k_1+F*(-1+k_1)+B && -1+k_1+F*(-1+k_1)+B>=1+C+A ], cost: k_1 298.10/289.78 298.10/289.78 12: start0 -> start : B'=C, D'=E, F'=A, [], cost: 1 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Chained accelerated rules (with incoming rules): 298.10/289.78 298.10/289.78 Start location: start0 298.10/289.78 298.10/289.78 2: start -> lbl91 : D'=-1-F+D, [ A>=0 && E>=C && B==C && D==E && F==A ], cost: 1 298.10/289.78 298.10/289.78 3: start -> lbl101 : B'=1+F+B, [ A>=0 && E>=C && B==C && D==E && F==A ], cost: 1 298.10/289.78 298.10/289.78 15: start -> lbl91 : D'=-1-F+D-k-F*k, [ A>=0 && E>=C && B==C && D==E && F==A && -1-F+D>=B && E>=-F+D+A && k>0 && -F+D-k-F*(-1+k)>=B && E>=1-F+D+A-k-F*(-1+k) ], cost: 1+k 298.10/289.78 298.10/289.78 17: start -> lbl101 : B'=1+k_1+F+k_1*F+B, [ A>=0 && E>=C && B==C && D==E && F==A && D>=1+F+B && 1+F+B>=1+C+A && k_1>0 && D>=k_1+F+F*(-1+k_1)+B && k_1+F+F*(-1+k_1)+B>=1+C+A ], cost: 1+k_1 298.10/289.78 298.10/289.78 7: lbl91 -> lbl101 : B'=1+F+B, [ A>=0 && D>=B && B>=C && E>=1+D+A && F==A ], cost: 1 298.10/289.78 298.10/289.78 18: lbl91 -> lbl101 : B'=1+k_1+F+k_1*F+B, [ A>=0 && D>=B && B>=C && E>=1+D+A && F==A && D>=1+F+B && E>=D && 1+F+B>=1+C+A && k_1>0 && D>=k_1+F+F*(-1+k_1)+B && k_1+F+F*(-1+k_1)+B>=1+C+A ], cost: 1+k_1 298.10/289.78 298.10/289.78 10: lbl101 -> lbl91 : D'=-1-F+D, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A ], cost: 1 298.10/289.78 298.10/289.78 16: lbl101 -> lbl91 : D'=-1-F+D-k-F*k, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A && k>0 && -F+D-k-F*(-1+k)>=B && E>=1-F+D+A-k-F*(-1+k) ], cost: 1+k 298.10/289.78 298.10/289.78 12: start0 -> start : B'=C, D'=E, F'=A, [], cost: 1 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Eliminated locations (on tree-shaped paths): 298.10/289.78 298.10/289.78 Start location: start0 298.10/289.78 298.10/289.78 7: lbl91 -> lbl101 : B'=1+F+B, [ A>=0 && D>=B && B>=C && E>=1+D+A && F==A ], cost: 1 298.10/289.78 298.10/289.78 18: lbl91 -> lbl101 : B'=1+k_1+F+k_1*F+B, [ A>=0 && D>=B && B>=C && E>=1+D+A && F==A && D>=1+F+B && E>=D && 1+F+B>=1+C+A && k_1>0 && D>=k_1+F+F*(-1+k_1)+B && k_1+F+F*(-1+k_1)+B>=1+C+A ], cost: 1+k_1 298.10/289.78 298.10/289.78 10: lbl101 -> lbl91 : D'=-1-F+D, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A ], cost: 1 298.10/289.78 298.10/289.78 16: lbl101 -> lbl91 : D'=-1-F+D-k-F*k, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A && k>0 && -F+D-k-F*(-1+k)>=B && E>=1-F+D+A-k-F*(-1+k) ], cost: 1+k 298.10/289.78 298.10/289.78 19: start0 -> lbl91 : B'=C, D'=-1-A+E, F'=A, [ A>=0 && E>=C ], cost: 2 298.10/289.78 298.10/289.78 20: start0 -> lbl101 : B'=1+C+A, D'=E, F'=A, [ A>=0 && E>=C ], cost: 2 298.10/289.78 298.10/289.78 21: start0 -> lbl91 : B'=C, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E ], cost: 2+k 298.10/289.78 298.10/289.78 22: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 2+k_1 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Eliminated location lbl91 (as a last resort): 298.10/289.78 298.10/289.78 Start location: start0 298.10/289.78 298.10/289.78 23: lbl101 -> lbl101 : B'=1+F+B, D'=-1-F+D, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A ], cost: 2 298.10/289.78 298.10/289.78 24: lbl101 -> lbl101 : B'=1+k_1+F+k_1*F+B, D'=-1-F+D, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A && -1-F+D>=1+F+B && E>=-1-F+D && 1+F+B>=1+C+A && k_1>0 && -1-F+D>=k_1+F+F*(-1+k_1)+B && k_1+F+F*(-1+k_1)+B>=1+C+A ], cost: 2+k_1 298.10/289.78 298.10/289.78 25: lbl101 -> lbl101 : B'=1+F+B, D'=-1-F+D-k-F*k, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A && k>0 && -F+D-k-F*(-1+k)>=B && E>=1-F+D+A-k-F*(-1+k) && -1-F+D-k-F*k>=B && E>=-F+D+A-k-F*k ], cost: 2+k 298.10/289.78 298.10/289.78 26: lbl101 -> lbl101 : B'=1+k_1+F+k_1*F+B, D'=-1-F+D-k-F*k, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A && k>0 && -F+D-k-F*(-1+k)>=B && E>=1-F+D+A-k-F*(-1+k) && -1-F+D-k-F*k>=B && E>=-F+D+A-k-F*k && -1-F+D-k-F*k>=1+F+B && E>=-1-F+D-k-F*k && 1+F+B>=1+C+A && k_1>0 && -1-F+D-k-F*k>=k_1+F+F*(-1+k_1)+B && k_1+F+F*(-1+k_1)+B>=1+C+A ], cost: 2+k_1+k 298.10/289.78 298.10/289.78 20: start0 -> lbl101 : B'=1+C+A, D'=E, F'=A, [ A>=0 && E>=C ], cost: 2 298.10/289.78 298.10/289.78 22: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 2+k_1 298.10/289.78 298.10/289.78 27: start0 -> lbl101 : B'=1+C+A, D'=-1-A+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C ], cost: 3 298.10/289.78 298.10/289.78 28: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=-1-A+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 3+k_1 298.10/289.78 298.10/289.78 29: start0 -> lbl101 : B'=1+C+A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E ], cost: 3+k 298.10/289.78 298.10/289.78 30: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 3+k_1+k 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Applied pruning (of leafs and parallel rules): 298.10/289.78 298.10/289.78 Start location: start0 298.10/289.78 298.10/289.78 23: lbl101 -> lbl101 : B'=1+F+B, D'=-1-F+D, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A ], cost: 2 298.10/289.78 298.10/289.78 24: lbl101 -> lbl101 : B'=1+k_1+F+k_1*F+B, D'=-1-F+D, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A && -1-F+D>=1+F+B && E>=-1-F+D && 1+F+B>=1+C+A && k_1>0 && -1-F+D>=k_1+F+F*(-1+k_1)+B && k_1+F+F*(-1+k_1)+B>=1+C+A ], cost: 2+k_1 298.10/289.78 298.10/289.78 25: lbl101 -> lbl101 : B'=1+F+B, D'=-1-F+D-k-F*k, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A && k>0 && -F+D-k-F*(-1+k)>=B && E>=1-F+D+A-k-F*(-1+k) && -1-F+D-k-F*k>=B && E>=-F+D+A-k-F*k ], cost: 2+k 298.10/289.78 298.10/289.78 26: lbl101 -> lbl101 : B'=1+k_1+F+k_1*F+B, D'=-1-F+D-k-F*k, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A && k>0 && -F+D-k-F*(-1+k)>=B && E>=1-F+D+A-k-F*(-1+k) && -1-F+D-k-F*k>=B && E>=-F+D+A-k-F*k && -1-F+D-k-F*k>=1+F+B && E>=-1-F+D-k-F*k && 1+F+B>=1+C+A && k_1>0 && -1-F+D-k-F*k>=k_1+F+F*(-1+k_1)+B && k_1+F+F*(-1+k_1)+B>=1+C+A ], cost: 2+k_1+k 298.10/289.78 298.10/289.78 20: start0 -> lbl101 : B'=1+C+A, D'=E, F'=A, [ A>=0 && E>=C ], cost: 2 298.10/289.78 298.10/289.78 22: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 2+k_1 298.10/289.78 298.10/289.78 28: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=-1-A+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 3+k_1 298.10/289.78 298.10/289.78 29: start0 -> lbl101 : B'=1+C+A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E ], cost: 3+k 298.10/289.78 298.10/289.78 30: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 3+k_1+k 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Accelerating simple loops of location 2. 298.10/289.78 298.10/289.78 Accelerating the following rules: 298.10/289.78 298.10/289.78 23: lbl101 -> lbl101 : B'=1+F+B, D'=-1-F+D, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A ], cost: 2 298.10/289.78 298.10/289.78 24: lbl101 -> lbl101 : B'=1+k_1+F+k_1*F+B, D'=-1-F+D, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A && -1-F+D>=1+F+B && E>=-1-F+D && 1+F+B>=1+C+A && k_1>0 && -1-F+D>=k_1+F+F*(-1+k_1)+B && k_1+F+F*(-1+k_1)+B>=1+C+A ], cost: 2+k_1 298.10/289.78 298.10/289.78 25: lbl101 -> lbl101 : B'=1+F+B, D'=-1-F+D-k-F*k, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A && k>0 && -F+D-k-F*(-1+k)>=B && E>=1-F+D+A-k-F*(-1+k) && -1-F+D-k-F*k>=B && E>=-F+D+A-k-F*k ], cost: 2+k 298.10/289.78 298.10/289.78 26: lbl101 -> lbl101 : B'=1+k_1+F+k_1*F+B, D'=-1-F+D-k-F*k, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A && k>0 && -F+D-k-F*(-1+k)>=B && E>=1-F+D+A-k-F*(-1+k) && -1-F+D-k-F*k>=B && E>=-F+D+A-k-F*k && -1-F+D-k-F*k>=1+F+B && E>=-1-F+D-k-F*k && 1+F+B>=1+C+A && k_1>0 && -1-F+D-k-F*k>=k_1+F+F*(-1+k_1)+B && k_1+F+F*(-1+k_1)+B>=1+C+A ], cost: 2+k_1+k 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Accelerated rule 23 with backward acceleration, yielding the new rule 31. 298.10/289.78 298.10/289.78 Accelerated rule 24 with backward acceleration, yielding the new rule 32. 298.10/289.78 298.10/289.78 Found no metering function for rule 25 (rule is too complicated). 298.10/289.78 298.10/289.78 Found no metering function for rule 26 (rule is too complicated). 298.10/289.78 298.10/289.78 Removing the simple loops: 23 24. 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Accelerated all simple loops using metering functions (where possible): 298.10/289.78 298.10/289.78 Start location: start0 298.10/289.78 298.10/289.78 25: lbl101 -> lbl101 : B'=1+F+B, D'=-1-F+D-k-F*k, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A && k>0 && -F+D-k-F*(-1+k)>=B && E>=1-F+D+A-k-F*(-1+k) && -1-F+D-k-F*k>=B && E>=-F+D+A-k-F*k ], cost: 2+k 298.10/289.78 298.10/289.78 26: lbl101 -> lbl101 : B'=1+k_1+F+k_1*F+B, D'=-1-F+D-k-F*k, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A && k>0 && -F+D-k-F*(-1+k)>=B && E>=1-F+D+A-k-F*(-1+k) && -1-F+D-k-F*k>=B && E>=-F+D+A-k-F*k && -1-F+D-k-F*k>=1+F+B && E>=-1-F+D-k-F*k && 1+F+B>=1+C+A && k_1>0 && -1-F+D-k-F*k>=k_1+F+F*(-1+k_1)+B && k_1+F+F*(-1+k_1)+B>=1+C+A ], cost: 2+k_1+k 298.10/289.78 298.10/289.78 31: lbl101 -> lbl101 : B'=k_2+F*k_2+B, D'=-k_2-F*k_2+D, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A && k_2>0 && 1-F*(-1+k_2)-k_2+D>=-1+F*(-1+k_2)+k_2+B && E>=1-F*(-1+k_2)-k_2+D && -1+F*(-1+k_2)+k_2+B>=1+C+A && -F*(-1+k_2)-F-k_2+D>=-1+F*(-1+k_2)+k_2+B && -1+F*(-1+k_2)+k_2+B>=C && E>=1-F*(-1+k_2)-F-k_2+D+A ], cost: 2*k_2 298.10/289.78 298.10/289.78 32: lbl101 -> lbl101 : B'=k_1*k_3+F*k_3+k_1*F*k_3+k_3+B, D'=D-F*k_3-k_3, [ A>=0 && D>=B && E>=D && B>=1+C+A && F==A && -1-F+D>=B && B>=C && E>=-F+D+A && -1-F+D>=1+F+B && E>=-1-F+D && 1+F+B>=1+C+A && k_1>0 && -1-F+D>=k_1+F+F*(-1+k_1)+B && k_1+F+F*(-1+k_1)+B>=1+C+A && k_3>0 && 1-F*(-1+k_3)+D-k_3>=-1+k_1*F*(-1+k_3)+F*(-1+k_3)+k_1*(-1+k_3)+k_3+B && E>=1-F*(-1+k_3)+D-k_3 && -1+k_1*F*(-1+k_3)+F*(-1+k_3)+k_1*(-1+k_3)+k_3+B>=1+C+A && -F-F*(-1+k_3)+D-k_3>=-1+k_1*F*(-1+k_3)+F*(-1+k_3)+k_1*(-1+k_3)+k_3+B && -1+k_1*F*(-1+k_3)+F*(-1+k_3)+k_1*(-1+k_3)+k_3+B>=C && E>=1-F-F*(-1+k_3)+D+A-k_3 && -F-F*(-1+k_3)+D-k_3>=F+k_1*F*(-1+k_3)+F*(-1+k_3)+k_1*(-1+k_3)+k_3+B && E>=-F-F*(-1+k_3)+D-k_3 && F+k_1*F*(-1+k_3)+F*(-1+k_3)+k_1*(-1+k_3)+k_3+B>=1+C+A && -F-F*(-1+k_3)+D-k_3>=-1+k_1+F+k_1*F*(-1+k_3)+F*(-1+k_3)+k_1*(-1+k_3)+F*(-1+k_1)+k_3+B && -1+k_1+F+k_1*F*(-1+k_3)+F*(-1+k_3)+k_1*(-1+k_3)+F*(-1+k_1)+k_3+B>=1+C+A ], cost: k_1*k_3+2*k_3 298.10/289.78 298.10/289.78 20: start0 -> lbl101 : B'=1+C+A, D'=E, F'=A, [ A>=0 && E>=C ], cost: 2 298.10/289.78 298.10/289.78 22: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 2+k_1 298.10/289.78 298.10/289.78 28: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=-1-A+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 3+k_1 298.10/289.78 298.10/289.78 29: start0 -> lbl101 : B'=1+C+A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E ], cost: 3+k 298.10/289.78 298.10/289.78 30: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 3+k_1+k 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Chained accelerated rules (with incoming rules): 298.10/289.78 298.10/289.78 Start location: start0 298.10/289.78 298.10/289.78 20: start0 -> lbl101 : B'=1+C+A, D'=E, F'=A, [ A>=0 && E>=C ], cost: 2 298.10/289.78 298.10/289.78 22: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 2+k_1 298.10/289.78 298.10/289.78 28: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=-1-A+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 3+k_1 298.10/289.78 298.10/289.78 29: start0 -> lbl101 : B'=1+C+A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E ], cost: 3+k 298.10/289.78 298.10/289.78 30: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 3+k_1+k 298.10/289.78 298.10/289.78 33: start0 -> lbl101 : B'=2+C+2*A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && -1-A+E>=1+C+A && k>0 && -A*(-1+k)-A-k+E>=1+C+A && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=1+C+A && E>=-A*k-k+E ], cost: 4+k 298.10/289.78 298.10/289.78 34: start0 -> lbl101 : B'=2+k_1+C+k_1*A+2*A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k>0 && -A*(-1+k)-A-k+E>=1+k_1+C+k_1*A+A && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && E>=-A*k-k+E ], cost: 4+k_1+k 298.10/289.78 298.10/289.78 35: start0 -> lbl101 : B'=2+k_1+C+k_1*A+2*A, D'=-2-A*k-2*A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-2*A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k>0 && -1-A*(-1+k)-2*A-k+E>=1+k_1+C+k_1*A+A && E>=-A*(-1+k)-A-k+E && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && E>=-1-A*k-A-k+E ], cost: 5+k_1+k 298.10/289.78 298.10/289.78 36: start0 -> lbl101 : B'=2+C+2*A, D'=-2-2*A*k-2*A-2*k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && -2-A*k-2*A-k+E>=1+C+A && -1-A*k-A*(-1+k)-2*A-2*k+E>=1+C+A && E>=-A*k-A*(-1+k)-A-2*k+E && -2-2*A*k-2*A-2*k+E>=1+C+A && E>=-1-2*A*k-A-2*k+E ], cost: 5+2*k 298.10/289.78 298.10/289.78 37: start0 -> lbl101 : B'=2+k_1+C+k_1*A+2*A, D'=-2-2*A*k-2*A-2*k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && -1-A*k-A*(-1+k)-2*A-2*k+E>=1+k_1+C+k_1*A+A && E>=-A*k-A*(-1+k)-A-2*k+E && -2-2*A*k-2*A-2*k+E>=1+k_1+C+k_1*A+A && E>=-1-2*A*k-A-2*k+E ], cost: 5+k_1+2*k 298.10/289.78 298.10/289.78 38: start0 -> lbl101 : B'=2+k_1+C+k_1*A+2*A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && -1-A+E>=1+C+A && k>0 && -A*(-1+k)-A-k+E>=1+C+A && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=1+C+A && E>=-A*k-k+E && -1-A*k-A-k+E>=2+C+2*A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=1+k_1+C+2*A+(-1+k_1)*A && 1+k_1+C+2*A+(-1+k_1)*A>=1+C+A ], cost: 4+k_1+k 298.10/289.78 298.10/289.78 39: start0 -> lbl101 : B'=2+2*k_1+C+2*k_1*A+2*A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k>0 && -A*(-1+k)-A-k+E>=1+k_1+C+k_1*A+A && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && E>=-A*k-k+E && -1-A*k-A-k+E>=2+k_1+C+k_1*A+2*A && E>=-1-A*k-A-k+E && -1-A*k-A-k+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A ], cost: 4+2*k_1+k 298.10/289.78 298.10/289.78 40: start0 -> lbl101 : B'=2+2*k_1+C+2*k_1*A+2*A, D'=-2-A*k-2*A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-2*A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k>0 && -1-A*(-1+k)-2*A-k+E>=1+k_1+C+k_1*A+A && E>=-A*(-1+k)-A-k+E && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && E>=-1-A*k-A-k+E && -2-A*k-2*A-k+E>=2+k_1+C+k_1*A+2*A && E>=-2-A*k-2*A-k+E && -2-A*k-2*A-k+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A ], cost: 5+2*k_1+k 298.10/289.78 298.10/289.78 41: start0 -> lbl101 : B'=2+k_1+C+k_1*A+2*A, D'=-2-2*A*k-2*A-2*k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && -2-A*k-2*A-k+E>=1+C+A && -1-A*k-A*(-1+k)-2*A-2*k+E>=1+C+A && E>=-A*k-A*(-1+k)-A-2*k+E && -2-2*A*k-2*A-2*k+E>=1+C+A && E>=-1-2*A*k-A-2*k+E && -2-2*A*k-2*A-2*k+E>=2+C+2*A && E>=-2-2*A*k-2*A-2*k+E && k_1>0 && -2-2*A*k-2*A-2*k+E>=1+k_1+C+2*A+(-1+k_1)*A && 1+k_1+C+2*A+(-1+k_1)*A>=1+C+A ], cost: 5+k_1+2*k 298.10/289.78 298.10/289.78 42: start0 -> lbl101 : B'=2+2*k_1+C+2*k_1*A+2*A, D'=-2-2*A*k-2*A-2*k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && -1-A*k-A*(-1+k)-2*A-2*k+E>=1+k_1+C+k_1*A+A && E>=-A*k-A*(-1+k)-A-2*k+E && -2-2*A*k-2*A-2*k+E>=1+k_1+C+k_1*A+A && E>=-1-2*A*k-A-2*k+E && -2-2*A*k-2*A-2*k+E>=2+k_1+C+k_1*A+2*A && E>=-2-2*A*k-2*A-2*k+E && -2-2*A*k-2*A-2*k+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A ], cost: 5+2*k_1+2*k 298.10/289.78 298.10/289.78 43: start0 -> lbl101 : B'=1+C+k_2*A+k_2+A, D'=-k_2*A-k_2+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && -1-A+E>=1+C+A && k_2>0 && 1-k_2-(-1+k_2)*A+E>=C+k_2+(-1+k_2)*A+A && E>=1-k_2-(-1+k_2)*A+E && -k_2-(-1+k_2)*A-A+E>=C+k_2+(-1+k_2)*A+A && C+k_2+(-1+k_2)*A+A>=C ], cost: 2+2*k_2 298.10/289.78 298.10/289.78 44: start0 -> lbl101 : B'=1+k_1+C+k_2*A+k_2+k_1*A+A, D'=-k_2*A-k_2+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k_2>0 && 1-k_2-(-1+k_2)*A+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && E>=1-k_2-(-1+k_2)*A+E && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=1+C+A && -k_2-(-1+k_2)*A-A+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=C ], cost: 2+k_1+2*k_2 298.10/289.78 298.10/289.78 45: start0 -> lbl101 : B'=1+k_1+C+k_2*A+k_2+k_1*A+A, D'=-1-k_2*A-k_2-A+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-2*A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k_2>0 && -k_2-(-1+k_2)*A-A+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && E>=-k_2-(-1+k_2)*A-A+E && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=1+C+A && -1-k_2-(-1+k_2)*A-2*A+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=C ], cost: 3+k_1+2*k_2 298.10/289.78 298.10/289.78 46: start0 -> lbl101 : B'=1+C+k_2*A+k_2+A, D'=-1-k_2*A-k_2-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && -2-A*k-2*A-k+E>=1+C+A && k_2>0 && -k_2-(-1+k_2)*A-A*k-A-k+E>=C+k_2+(-1+k_2)*A+A && E>=-k_2-(-1+k_2)*A-A*k-A-k+E && C+k_2+(-1+k_2)*A+A>=1+C+A && -1-k_2-(-1+k_2)*A-A*k-2*A-k+E>=C+k_2+(-1+k_2)*A+A && C+k_2+(-1+k_2)*A+A>=C ], cost: 3+2*k_2+k 298.10/289.78 298.10/289.78 47: start0 -> lbl101 : B'=1+k_1+C+k_2*A+k_2+k_1*A+A, D'=-1-k_2*A-k_2-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k_2>0 && -k_2-(-1+k_2)*A-A*k-A-k+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && E>=-k_2-(-1+k_2)*A-A*k-A-k+E && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=1+C+A && -1-k_2-(-1+k_2)*A-A*k-2*A-k+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=C ], cost: 3+k_1+2*k_2+k 298.10/289.78 298.10/289.78 48: start0 -> lbl101 : B'=1+k_1*k_3+C+A+k_1*A*k_3+A*k_3+k_3, D'=-A*k_3+E-k_3, F'=A, [ A>=0 && E>=C && E>=1+C+A && -1-A+E>=1+C+A && -1-A+E>=2+C+2*A && k_1>0 && -1-A+E>=1+k_1+C+2*A+(-1+k_1)*A && 1+k_1+C+2*A+(-1+k_1)*A>=1+C+A && k_3>0 && 1+E-k_3-(-1+k_3)*A>=C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=1+E-k_3-(-1+k_3)*A && C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A && -A+E-k_3-(-1+k_3)*A>=C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=C && -A+E-k_3-(-1+k_3)*A>=1+C+2*A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-A+E-k_3-(-1+k_3)*A && -A+E-k_3-(-1+k_3)*A>=k_1+C+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && k_1+C+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A ], cost: 2+k_1*k_3+2*k_3 298.10/289.78 298.10/289.78 49: start0 -> lbl101 : B'=1+k_1+k_1*k_3+C+k_1*A+A+k_1*A*k_3+A*k_3+k_3, D'=-A*k_3+E-k_3, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && -1-A+E>=2+k_1+C+k_1*A+2*A && -1-A+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A && k_3>0 && 1+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=1+E-k_3-(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A && -A+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=C && -A+E-k_3-(-1+k_3)*A>=1+k_1+C+k_1*A+2*A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-A+E-k_3-(-1+k_3)*A && -A+E-k_3-(-1+k_3)*A>=2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && 2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A ], cost: 2+k_1+k_1*k_3+2*k_3 298.10/289.78 298.10/289.78 50: start0 -> lbl101 : B'=1+k_1+k_1*k_3+C+k_1*A+A+k_1*A*k_3+A*k_3+k_3, D'=-1-A-A*k_3+E-k_3, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-2*A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && -2-2*A+E>=2+k_1+C+k_1*A+2*A && E>=-2-2*A+E && -2-2*A+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A && k_3>0 && -A+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-A+E-k_3-(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A && -1-2*A+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=C && -1-2*A+E-k_3-(-1+k_3)*A>=1+k_1+C+k_1*A+2*A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-1-2*A+E-k_3-(-1+k_3)*A && -1-2*A+E-k_3-(-1+k_3)*A>=2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && 2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A ], cost: 3+k_1+k_1*k_3+2*k_3 298.10/289.78 298.10/289.78 51: start0 -> lbl101 : B'=1+k_1*k_3+C+A+k_1*A*k_3+A*k_3+k_3, D'=-1-A*k-A-A*k_3-k+E-k_3, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && -2-A*k-2*A-k+E>=1+C+A && -2-A*k-2*A-k+E>=2+C+2*A && E>=-2-A*k-2*A-k+E && k_1>0 && -2-A*k-2*A-k+E>=1+k_1+C+2*A+(-1+k_1)*A && 1+k_1+C+2*A+(-1+k_1)*A>=1+C+A && k_3>0 && -A*k-A-k+E-k_3-(-1+k_3)*A>=C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-A*k-A-k+E-k_3-(-1+k_3)*A && C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=C && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=1+C+2*A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-1-A*k-2*A-k+E-k_3-(-1+k_3)*A && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=k_1+C+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && k_1+C+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A ], cost: 3+k_1*k_3+k+2*k_3 298.10/289.78 298.10/289.78 52: start0 -> lbl101 : B'=1+k_1+k_1*k_3+C+k_1*A+A+k_1*A*k_3+A*k_3+k_3, D'=-1-A*k-A-A*k_3-k+E-k_3, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && -2-A*k-2*A-k+E>=2+k_1+C+k_1*A+2*A && E>=-2-A*k-2*A-k+E && -2-A*k-2*A-k+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A && k_3>0 && -A*k-A-k+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-A*k-A-k+E-k_3-(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=C && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=1+k_1+C+k_1*A+2*A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-1-A*k-2*A-k+E-k_3-(-1+k_3)*A && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && 2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A ], cost: 3+k_1+k_1*k_3+k+2*k_3 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Removed unreachable locations (and leaf rules with constant cost): 298.10/289.78 298.10/289.78 Start location: start0 298.10/289.78 298.10/289.78 22: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 2+k_1 298.10/289.78 298.10/289.78 28: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=-1-A+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 3+k_1 298.10/289.78 298.10/289.78 29: start0 -> lbl101 : B'=1+C+A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E ], cost: 3+k 298.10/289.78 298.10/289.78 30: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 3+k_1+k 298.10/289.78 298.10/289.78 33: start0 -> lbl101 : B'=2+C+2*A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && -1-A+E>=1+C+A && k>0 && -A*(-1+k)-A-k+E>=1+C+A && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=1+C+A && E>=-A*k-k+E ], cost: 4+k 298.10/289.78 298.10/289.78 34: start0 -> lbl101 : B'=2+k_1+C+k_1*A+2*A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k>0 && -A*(-1+k)-A-k+E>=1+k_1+C+k_1*A+A && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && E>=-A*k-k+E ], cost: 4+k_1+k 298.10/289.78 298.10/289.78 35: start0 -> lbl101 : B'=2+k_1+C+k_1*A+2*A, D'=-2-A*k-2*A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-2*A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k>0 && -1-A*(-1+k)-2*A-k+E>=1+k_1+C+k_1*A+A && E>=-A*(-1+k)-A-k+E && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && E>=-1-A*k-A-k+E ], cost: 5+k_1+k 298.10/289.78 298.10/289.78 36: start0 -> lbl101 : B'=2+C+2*A, D'=-2-2*A*k-2*A-2*k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && -2-A*k-2*A-k+E>=1+C+A && -1-A*k-A*(-1+k)-2*A-2*k+E>=1+C+A && E>=-A*k-A*(-1+k)-A-2*k+E && -2-2*A*k-2*A-2*k+E>=1+C+A && E>=-1-2*A*k-A-2*k+E ], cost: 5+2*k 298.10/289.78 298.10/289.78 37: start0 -> lbl101 : B'=2+k_1+C+k_1*A+2*A, D'=-2-2*A*k-2*A-2*k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && -1-A*k-A*(-1+k)-2*A-2*k+E>=1+k_1+C+k_1*A+A && E>=-A*k-A*(-1+k)-A-2*k+E && -2-2*A*k-2*A-2*k+E>=1+k_1+C+k_1*A+A && E>=-1-2*A*k-A-2*k+E ], cost: 5+k_1+2*k 298.10/289.78 298.10/289.78 38: start0 -> lbl101 : B'=2+k_1+C+k_1*A+2*A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && -1-A+E>=1+C+A && k>0 && -A*(-1+k)-A-k+E>=1+C+A && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=1+C+A && E>=-A*k-k+E && -1-A*k-A-k+E>=2+C+2*A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=1+k_1+C+2*A+(-1+k_1)*A && 1+k_1+C+2*A+(-1+k_1)*A>=1+C+A ], cost: 4+k_1+k 298.10/289.78 298.10/289.78 39: start0 -> lbl101 : B'=2+2*k_1+C+2*k_1*A+2*A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k>0 && -A*(-1+k)-A-k+E>=1+k_1+C+k_1*A+A && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && E>=-A*k-k+E && -1-A*k-A-k+E>=2+k_1+C+k_1*A+2*A && E>=-1-A*k-A-k+E && -1-A*k-A-k+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A ], cost: 4+2*k_1+k 298.10/289.78 298.10/289.78 40: start0 -> lbl101 : B'=2+2*k_1+C+2*k_1*A+2*A, D'=-2-A*k-2*A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-2*A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k>0 && -1-A*(-1+k)-2*A-k+E>=1+k_1+C+k_1*A+A && E>=-A*(-1+k)-A-k+E && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && E>=-1-A*k-A-k+E && -2-A*k-2*A-k+E>=2+k_1+C+k_1*A+2*A && E>=-2-A*k-2*A-k+E && -2-A*k-2*A-k+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A ], cost: 5+2*k_1+k 298.10/289.78 298.10/289.78 41: start0 -> lbl101 : B'=2+k_1+C+k_1*A+2*A, D'=-2-2*A*k-2*A-2*k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && -2-A*k-2*A-k+E>=1+C+A && -1-A*k-A*(-1+k)-2*A-2*k+E>=1+C+A && E>=-A*k-A*(-1+k)-A-2*k+E && -2-2*A*k-2*A-2*k+E>=1+C+A && E>=-1-2*A*k-A-2*k+E && -2-2*A*k-2*A-2*k+E>=2+C+2*A && E>=-2-2*A*k-2*A-2*k+E && k_1>0 && -2-2*A*k-2*A-2*k+E>=1+k_1+C+2*A+(-1+k_1)*A && 1+k_1+C+2*A+(-1+k_1)*A>=1+C+A ], cost: 5+k_1+2*k 298.10/289.78 298.10/289.78 42: start0 -> lbl101 : B'=2+2*k_1+C+2*k_1*A+2*A, D'=-2-2*A*k-2*A-2*k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && -1-A*k-A*(-1+k)-2*A-2*k+E>=1+k_1+C+k_1*A+A && E>=-A*k-A*(-1+k)-A-2*k+E && -2-2*A*k-2*A-2*k+E>=1+k_1+C+k_1*A+A && E>=-1-2*A*k-A-2*k+E && -2-2*A*k-2*A-2*k+E>=2+k_1+C+k_1*A+2*A && E>=-2-2*A*k-2*A-2*k+E && -2-2*A*k-2*A-2*k+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A ], cost: 5+2*k_1+2*k 298.10/289.78 298.10/289.78 43: start0 -> lbl101 : B'=1+C+k_2*A+k_2+A, D'=-k_2*A-k_2+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && -1-A+E>=1+C+A && k_2>0 && 1-k_2-(-1+k_2)*A+E>=C+k_2+(-1+k_2)*A+A && E>=1-k_2-(-1+k_2)*A+E && -k_2-(-1+k_2)*A-A+E>=C+k_2+(-1+k_2)*A+A && C+k_2+(-1+k_2)*A+A>=C ], cost: 2+2*k_2 298.10/289.78 298.10/289.78 44: start0 -> lbl101 : B'=1+k_1+C+k_2*A+k_2+k_1*A+A, D'=-k_2*A-k_2+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k_2>0 && 1-k_2-(-1+k_2)*A+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && E>=1-k_2-(-1+k_2)*A+E && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=1+C+A && -k_2-(-1+k_2)*A-A+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=C ], cost: 2+k_1+2*k_2 298.10/289.78 298.10/289.78 45: start0 -> lbl101 : B'=1+k_1+C+k_2*A+k_2+k_1*A+A, D'=-1-k_2*A-k_2-A+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-2*A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k_2>0 && -k_2-(-1+k_2)*A-A+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && E>=-k_2-(-1+k_2)*A-A+E && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=1+C+A && -1-k_2-(-1+k_2)*A-2*A+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=C ], cost: 3+k_1+2*k_2 298.10/289.78 298.10/289.78 46: start0 -> lbl101 : B'=1+C+k_2*A+k_2+A, D'=-1-k_2*A-k_2-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && -2-A*k-2*A-k+E>=1+C+A && k_2>0 && -k_2-(-1+k_2)*A-A*k-A-k+E>=C+k_2+(-1+k_2)*A+A && E>=-k_2-(-1+k_2)*A-A*k-A-k+E && C+k_2+(-1+k_2)*A+A>=1+C+A && -1-k_2-(-1+k_2)*A-A*k-2*A-k+E>=C+k_2+(-1+k_2)*A+A && C+k_2+(-1+k_2)*A+A>=C ], cost: 3+2*k_2+k 298.10/289.78 298.10/289.78 47: start0 -> lbl101 : B'=1+k_1+C+k_2*A+k_2+k_1*A+A, D'=-1-k_2*A-k_2-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k_2>0 && -k_2-(-1+k_2)*A-A*k-A-k+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && E>=-k_2-(-1+k_2)*A-A*k-A-k+E && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=1+C+A && -1-k_2-(-1+k_2)*A-A*k-2*A-k+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=C ], cost: 3+k_1+2*k_2+k 298.10/289.78 298.10/289.78 48: start0 -> lbl101 : B'=1+k_1*k_3+C+A+k_1*A*k_3+A*k_3+k_3, D'=-A*k_3+E-k_3, F'=A, [ A>=0 && E>=C && E>=1+C+A && -1-A+E>=1+C+A && -1-A+E>=2+C+2*A && k_1>0 && -1-A+E>=1+k_1+C+2*A+(-1+k_1)*A && 1+k_1+C+2*A+(-1+k_1)*A>=1+C+A && k_3>0 && 1+E-k_3-(-1+k_3)*A>=C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=1+E-k_3-(-1+k_3)*A && C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A && -A+E-k_3-(-1+k_3)*A>=C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=C && -A+E-k_3-(-1+k_3)*A>=1+C+2*A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-A+E-k_3-(-1+k_3)*A && -A+E-k_3-(-1+k_3)*A>=k_1+C+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && k_1+C+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A ], cost: 2+k_1*k_3+2*k_3 298.10/289.78 298.10/289.78 49: start0 -> lbl101 : B'=1+k_1+k_1*k_3+C+k_1*A+A+k_1*A*k_3+A*k_3+k_3, D'=-A*k_3+E-k_3, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && -1-A+E>=2+k_1+C+k_1*A+2*A && -1-A+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A && k_3>0 && 1+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=1+E-k_3-(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A && -A+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=C && -A+E-k_3-(-1+k_3)*A>=1+k_1+C+k_1*A+2*A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-A+E-k_3-(-1+k_3)*A && -A+E-k_3-(-1+k_3)*A>=2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && 2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A ], cost: 2+k_1+k_1*k_3+2*k_3 298.10/289.78 298.10/289.78 50: start0 -> lbl101 : B'=1+k_1+k_1*k_3+C+k_1*A+A+k_1*A*k_3+A*k_3+k_3, D'=-1-A-A*k_3+E-k_3, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-2*A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && -2-2*A+E>=2+k_1+C+k_1*A+2*A && E>=-2-2*A+E && -2-2*A+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A && k_3>0 && -A+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-A+E-k_3-(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A && -1-2*A+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=C && -1-2*A+E-k_3-(-1+k_3)*A>=1+k_1+C+k_1*A+2*A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-1-2*A+E-k_3-(-1+k_3)*A && -1-2*A+E-k_3-(-1+k_3)*A>=2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && 2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A ], cost: 3+k_1+k_1*k_3+2*k_3 298.10/289.78 298.10/289.78 51: start0 -> lbl101 : B'=1+k_1*k_3+C+A+k_1*A*k_3+A*k_3+k_3, D'=-1-A*k-A-A*k_3-k+E-k_3, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && -2-A*k-2*A-k+E>=1+C+A && -2-A*k-2*A-k+E>=2+C+2*A && E>=-2-A*k-2*A-k+E && k_1>0 && -2-A*k-2*A-k+E>=1+k_1+C+2*A+(-1+k_1)*A && 1+k_1+C+2*A+(-1+k_1)*A>=1+C+A && k_3>0 && -A*k-A-k+E-k_3-(-1+k_3)*A>=C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-A*k-A-k+E-k_3-(-1+k_3)*A && C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=C && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=1+C+2*A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-1-A*k-2*A-k+E-k_3-(-1+k_3)*A && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=k_1+C+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && k_1+C+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A ], cost: 3+k_1*k_3+k+2*k_3 298.10/289.78 298.10/289.78 52: start0 -> lbl101 : B'=1+k_1+k_1*k_3+C+k_1*A+A+k_1*A*k_3+A*k_3+k_3, D'=-1-A*k-A-A*k_3-k+E-k_3, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && -2-A*k-2*A-k+E>=2+k_1+C+k_1*A+2*A && E>=-2-A*k-2*A-k+E && -2-A*k-2*A-k+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A && k_3>0 && -A*k-A-k+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-A*k-A-k+E-k_3-(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=C && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=1+k_1+C+k_1*A+2*A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-1-A*k-2*A-k+E-k_3-(-1+k_3)*A && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && 2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A ], cost: 3+k_1+k_1*k_3+k+2*k_3 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 ### Computing asymptotic complexity ### 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Fully simplified ITS problem 298.10/289.78 298.10/289.78 Start location: start0 298.10/289.78 298.10/289.78 22: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 2+k_1 298.10/289.78 298.10/289.78 28: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=-1-A+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 3+k_1 298.10/289.78 298.10/289.78 29: start0 -> lbl101 : B'=1+C+A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E ], cost: 3+k 298.10/289.78 298.10/289.78 30: start0 -> lbl101 : B'=1+k_1+C+k_1*A+A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A ], cost: 3+k_1+k 298.10/289.78 298.10/289.78 33: start0 -> lbl101 : B'=2+C+2*A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && -1-A+E>=1+C+A && k>0 && -A*(-1+k)-A-k+E>=1+C+A && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=1+C+A && E>=-A*k-k+E ], cost: 4+k 298.10/289.78 298.10/289.78 34: start0 -> lbl101 : B'=2+k_1+C+k_1*A+2*A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k>0 && -A*(-1+k)-A-k+E>=1+k_1+C+k_1*A+A && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && E>=-A*k-k+E ], cost: 4+k_1+k 298.10/289.78 298.10/289.78 35: start0 -> lbl101 : B'=2+k_1+C+k_1*A+2*A, D'=-2-A*k-2*A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-2*A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k>0 && -1-A*(-1+k)-2*A-k+E>=1+k_1+C+k_1*A+A && E>=-A*(-1+k)-A-k+E && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && E>=-1-A*k-A-k+E ], cost: 5+k_1+k 298.10/289.78 298.10/289.78 36: start0 -> lbl101 : B'=2+C+2*A, D'=-2-2*A*k-2*A-2*k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && -2-A*k-2*A-k+E>=1+C+A && -1-A*k-A*(-1+k)-2*A-2*k+E>=1+C+A && E>=-A*k-A*(-1+k)-A-2*k+E && -2-2*A*k-2*A-2*k+E>=1+C+A && E>=-1-2*A*k-A-2*k+E ], cost: 5+2*k 298.10/289.78 298.10/289.78 37: start0 -> lbl101 : B'=2+k_1+C+k_1*A+2*A, D'=-2-2*A*k-2*A-2*k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && -1-A*k-A*(-1+k)-2*A-2*k+E>=1+k_1+C+k_1*A+A && E>=-A*k-A*(-1+k)-A-2*k+E && -2-2*A*k-2*A-2*k+E>=1+k_1+C+k_1*A+A && E>=-1-2*A*k-A-2*k+E ], cost: 5+k_1+2*k 298.10/289.78 298.10/289.78 38: start0 -> lbl101 : B'=2+k_1+C+k_1*A+2*A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && -1-A+E>=1+C+A && k>0 && -A*(-1+k)-A-k+E>=1+C+A && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=1+C+A && E>=-A*k-k+E && -1-A*k-A-k+E>=2+C+2*A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=1+k_1+C+2*A+(-1+k_1)*A && 1+k_1+C+2*A+(-1+k_1)*A>=1+C+A ], cost: 4+k_1+k 298.10/289.78 298.10/289.78 39: start0 -> lbl101 : B'=2+2*k_1+C+2*k_1*A+2*A, D'=-1-A*k-A-k+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k>0 && -A*(-1+k)-A-k+E>=1+k_1+C+k_1*A+A && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && E>=-A*k-k+E && -1-A*k-A-k+E>=2+k_1+C+k_1*A+2*A && E>=-1-A*k-A-k+E && -1-A*k-A-k+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A ], cost: 4+2*k_1+k 298.10/289.78 298.10/289.78 40: start0 -> lbl101 : B'=2+2*k_1+C+2*k_1*A+2*A, D'=-2-A*k-2*A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-2*A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k>0 && -1-A*(-1+k)-2*A-k+E>=1+k_1+C+k_1*A+A && E>=-A*(-1+k)-A-k+E && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && E>=-1-A*k-A-k+E && -2-A*k-2*A-k+E>=2+k_1+C+k_1*A+2*A && E>=-2-A*k-2*A-k+E && -2-A*k-2*A-k+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A ], cost: 5+2*k_1+k 298.10/289.78 298.10/289.78 41: start0 -> lbl101 : B'=2+k_1+C+k_1*A+2*A, D'=-2-2*A*k-2*A-2*k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && -2-A*k-2*A-k+E>=1+C+A && -1-A*k-A*(-1+k)-2*A-2*k+E>=1+C+A && E>=-A*k-A*(-1+k)-A-2*k+E && -2-2*A*k-2*A-2*k+E>=1+C+A && E>=-1-2*A*k-A-2*k+E && -2-2*A*k-2*A-2*k+E>=2+C+2*A && E>=-2-2*A*k-2*A-2*k+E && k_1>0 && -2-2*A*k-2*A-2*k+E>=1+k_1+C+2*A+(-1+k_1)*A && 1+k_1+C+2*A+(-1+k_1)*A>=1+C+A ], cost: 5+k_1+2*k 298.10/289.78 298.10/289.78 42: start0 -> lbl101 : B'=2+2*k_1+C+2*k_1*A+2*A, D'=-2-2*A*k-2*A-2*k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && -1-A*k-A*(-1+k)-2*A-2*k+E>=1+k_1+C+k_1*A+A && E>=-A*k-A*(-1+k)-A-2*k+E && -2-2*A*k-2*A-2*k+E>=1+k_1+C+k_1*A+A && E>=-1-2*A*k-A-2*k+E && -2-2*A*k-2*A-2*k+E>=2+k_1+C+k_1*A+2*A && E>=-2-2*A*k-2*A-2*k+E && -2-2*A*k-2*A-2*k+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A ], cost: 5+2*k_1+2*k 298.10/289.78 298.10/289.78 43: start0 -> lbl101 : B'=1+C+k_2*A+k_2+A, D'=-k_2*A-k_2+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && -1-A+E>=1+C+A && k_2>0 && 1-k_2-(-1+k_2)*A+E>=C+k_2+(-1+k_2)*A+A && E>=1-k_2-(-1+k_2)*A+E && -k_2-(-1+k_2)*A-A+E>=C+k_2+(-1+k_2)*A+A && C+k_2+(-1+k_2)*A+A>=C ], cost: 2+2*k_2 298.10/289.78 298.10/289.78 44: start0 -> lbl101 : B'=1+k_1+C+k_2*A+k_2+k_1*A+A, D'=-k_2*A-k_2+E, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k_2>0 && 1-k_2-(-1+k_2)*A+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && E>=1-k_2-(-1+k_2)*A+E && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=1+C+A && -k_2-(-1+k_2)*A-A+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=C ], cost: 2+k_1+2*k_2 298.10/289.78 298.10/289.78 45: start0 -> lbl101 : B'=1+k_1+C+k_2*A+k_2+k_1*A+A, D'=-1-k_2*A-k_2-A+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-2*A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k_2>0 && -k_2-(-1+k_2)*A-A+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && E>=-k_2-(-1+k_2)*A-A+E && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=1+C+A && -1-k_2-(-1+k_2)*A-2*A+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=C ], cost: 3+k_1+2*k_2 298.10/289.78 298.10/289.78 46: start0 -> lbl101 : B'=1+C+k_2*A+k_2+A, D'=-1-k_2*A-k_2-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && -2-A*k-2*A-k+E>=1+C+A && k_2>0 && -k_2-(-1+k_2)*A-A*k-A-k+E>=C+k_2+(-1+k_2)*A+A && E>=-k_2-(-1+k_2)*A-A*k-A-k+E && C+k_2+(-1+k_2)*A+A>=1+C+A && -1-k_2-(-1+k_2)*A-A*k-2*A-k+E>=C+k_2+(-1+k_2)*A+A && C+k_2+(-1+k_2)*A+A>=C ], cost: 3+2*k_2+k 298.10/289.78 298.10/289.78 47: start0 -> lbl101 : B'=1+k_1+C+k_2*A+k_2+k_1*A+A, D'=-1-k_2*A-k_2-A*k-A-k+E, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && k_2>0 && -k_2-(-1+k_2)*A-A*k-A-k+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && E>=-k_2-(-1+k_2)*A-A*k-A-k+E && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=1+C+A && -1-k_2-(-1+k_2)*A-A*k-2*A-k+E>=k_1+C+k_2+(-1+k_2)*A+k_1*A+A && k_1+C+k_2+(-1+k_2)*A+k_1*A+A>=C ], cost: 3+k_1+2*k_2+k 298.10/289.78 298.10/289.78 48: start0 -> lbl101 : B'=1+k_1*k_3+C+A+k_1*A*k_3+A*k_3+k_3, D'=-A*k_3+E-k_3, F'=A, [ A>=0 && E>=C && E>=1+C+A && -1-A+E>=1+C+A && -1-A+E>=2+C+2*A && k_1>0 && -1-A+E>=1+k_1+C+2*A+(-1+k_1)*A && 1+k_1+C+2*A+(-1+k_1)*A>=1+C+A && k_3>0 && 1+E-k_3-(-1+k_3)*A>=C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=1+E-k_3-(-1+k_3)*A && C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A && -A+E-k_3-(-1+k_3)*A>=C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=C && -A+E-k_3-(-1+k_3)*A>=1+C+2*A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-A+E-k_3-(-1+k_3)*A && -A+E-k_3-(-1+k_3)*A>=k_1+C+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && k_1+C+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A ], cost: 2+k_1*k_3+2*k_3 298.10/289.78 298.10/289.78 49: start0 -> lbl101 : B'=1+k_1+k_1*k_3+C+k_1*A+A+k_1*A*k_3+A*k_3+k_3, D'=-A*k_3+E-k_3, F'=A, [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && -1-A+E>=2+k_1+C+k_1*A+2*A && -1-A+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A && k_3>0 && 1+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=1+E-k_3-(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A && -A+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=C && -A+E-k_3-(-1+k_3)*A>=1+k_1+C+k_1*A+2*A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-A+E-k_3-(-1+k_3)*A && -A+E-k_3-(-1+k_3)*A>=2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && 2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A ], cost: 2+k_1+k_1*k_3+2*k_3 298.10/289.78 298.10/289.78 50: start0 -> lbl101 : B'=1+k_1+k_1*k_3+C+k_1*A+A+k_1*A*k_3+A*k_3+k_3, D'=-1-A-A*k_3+E-k_3, F'=A, [ A>=0 && E>=C && -1-A+E>=C && -1-A+E>=1+C+A && k_1>0 && -1-A+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-2*A+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && -2-2*A+E>=2+k_1+C+k_1*A+2*A && E>=-2-2*A+E && -2-2*A+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A && k_3>0 && -A+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-A+E-k_3-(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A && -1-2*A+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=C && -1-2*A+E-k_3-(-1+k_3)*A>=1+k_1+C+k_1*A+2*A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-1-2*A+E-k_3-(-1+k_3)*A && -1-2*A+E-k_3-(-1+k_3)*A>=2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && 2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A ], cost: 3+k_1+k_1*k_3+2*k_3 298.10/289.78 298.10/289.78 51: start0 -> lbl101 : B'=1+k_1*k_3+C+A+k_1*A*k_3+A*k_3+k_3, D'=-1-A*k-A-A*k_3-k+E-k_3, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && -2-A*k-2*A-k+E>=1+C+A && -2-A*k-2*A-k+E>=2+C+2*A && E>=-2-A*k-2*A-k+E && k_1>0 && -2-A*k-2*A-k+E>=1+k_1+C+2*A+(-1+k_1)*A && 1+k_1+C+2*A+(-1+k_1)*A>=1+C+A && k_3>0 && -A*k-A-k+E-k_3-(-1+k_3)*A>=C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-A*k-A-k+E-k_3-(-1+k_3)*A && C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && C+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=C && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=1+C+2*A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-1-A*k-2*A-k+E-k_3-(-1+k_3)*A && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=k_1+C+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && k_1+C+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A ], cost: 3+k_1*k_3+k+2*k_3 298.10/289.78 298.10/289.78 52: start0 -> lbl101 : B'=1+k_1+k_1*k_3+C+k_1*A+A+k_1*A*k_3+A*k_3+k_3, D'=-1-A*k-A-A*k_3-k+E-k_3, F'=A, [ A>=0 && E>=C && -1-A+E>=C && k>0 && -A*(-1+k)-A-k+E>=C && E>=1-A*(-1+k)-k+E && -1-A*k-A-k+E>=C && E>=-A*k-k+E && -1-A*k-A-k+E>=1+C+A && E>=-1-A*k-A-k+E && k_1>0 && -1-A*k-A-k+E>=k_1+C+A+(-1+k_1)*A && k_1+C+A+(-1+k_1)*A>=1+C+A && -1-A*k-A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=1+C+A && -2-A*k-2*A-k+E>=1+k_1+C+k_1*A+A && 1+k_1+C+k_1*A+A>=C && -2-A*k-2*A-k+E>=2+k_1+C+k_1*A+2*A && E>=-2-A*k-2*A-k+E && -2-A*k-2*A-k+E>=1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A && 1+2*k_1+C+k_1*A+2*A+(-1+k_1)*A>=1+C+A && k_3>0 && -A*k-A-k+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-A*k-A-k+E-k_3-(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && k_1+C+k_1*A+A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=C && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=1+k_1+C+k_1*A+2*A+k_1*(-1+k_3)+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && E>=-1-A*k-2*A-k+E-k_3-(-1+k_3)*A && -1-A*k-2*A-k+E-k_3-(-1+k_3)*A>=2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A && 2*k_1+C+k_1*A+2*A+k_1*(-1+k_3)+(-1+k_1)*A+k_3+(-1+k_3)*A+k_1*(-1+k_3)*A>=1+C+A ], cost: 3+k_1+k_1*k_3+k+2*k_3 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Computing asymptotic complexity for rule 22 298.10/289.78 298.10/289.78 Solved the limit problem by the following transformations: 298.10/289.78 298.10/289.78 Created initial limit problem: 298.10/289.78 298.10/289.78 1-C+E (+/+!), k_1 (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), 2+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 removing all constraints (solved by SMT) 298.10/289.78 298.10/289.78 resulting limit problem: [solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 applying transformation rule (C) using substitution {k_1==n,C==-2*n,A==0,E==0} 298.10/289.78 298.10/289.78 resulting limit problem: 298.10/289.78 298.10/289.78 [solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Solved the limit problem by the following transformations: 298.10/289.78 298.10/289.78 Created initial limit problem: 298.10/289.78 298.10/289.78 1-C+E (+/+!), k_1 (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), 2+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 applying transformation rule (C) using substitution {A==0} 298.10/289.78 298.10/289.78 resulting limit problem: 298.10/289.78 298.10/289.78 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), 2+k_1 (+) [not solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 applying transformation rule (C) using substitution {E==1+C+A} 298.10/289.78 298.10/289.78 resulting limit problem: 298.10/289.78 298.10/289.78 1 (+/+!), k_1 (+/+!), 2+A (+/+!), 2-k_1+A (+/+!), 2+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.10/289.78 298.10/289.78 resulting limit problem: 298.10/289.78 298.10/289.78 1 (+/+!), k_1 (+/+!), 2+A (+/+!), 2-k_1+A (+/+!), 2+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.78 298.10/289.78 resulting limit problem: 298.10/289.78 298.10/289.78 k_1 (+/+!), 2+A (+/+!), 2-k_1+A (+/+!), 2+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 removing all constraints (solved by SMT) 298.10/289.78 298.10/289.78 resulting limit problem: [solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 applying transformation rule (C) using substitution {k_1==n,A==n} 298.10/289.78 298.10/289.78 resulting limit problem: 298.10/289.78 298.10/289.78 [solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Solved the limit problem by the following transformations: 298.10/289.78 298.10/289.78 Created initial limit problem: 298.10/289.78 298.10/289.78 1-C+E (+/+!), k_1 (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), 2+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 applying transformation rule (C) using substitution {A==0} 298.10/289.78 298.10/289.78 resulting limit problem: 298.10/289.78 298.10/289.78 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), 2+k_1 (+) [not solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.10/289.78 298.10/289.78 resulting limit problem: 298.10/289.78 298.10/289.78 1 (+/+!), k_1 (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), 1+A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), 2+k_1 (+) [not solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.78 298.10/289.78 resulting limit problem: 298.10/289.78 298.10/289.78 k_1 (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), 1+A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), 2+k_1 (+) [not solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 removing all constraints (solved by SMT) 298.10/289.78 298.10/289.78 resulting limit problem: [solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 applying transformation rule (C) using substitution {k_1==1+n,A==0} 298.10/289.78 298.10/289.78 resulting limit problem: 298.10/289.78 298.10/289.78 [solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 Solved the limit problem by the following transformations: 298.10/289.78 298.10/289.78 Created initial limit problem: 298.10/289.78 298.10/289.78 1-C+E (+/+!), k_1 (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), 2+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.78 298.10/289.78 298.10/289.78 298.10/289.78 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.10/289.78 298.10/289.78 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), k_1 (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), k_1+(-1+k_1)*A (+/+!), 2+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 k_1 (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), k_1+(-1+k_1)*A (+/+!), 2+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {k_1==n,A==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), k_1 (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), 2+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), 2+k_1 (+) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {E==1+C+A} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), 2-k_1+A (+/+!), 2+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 k_1 (+/+!), 2+A (+/+!), 2-k_1+A (+/+!), 2+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {k_1==n,A==n} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), k_1 (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), 2+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), 2+k_1 (+) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 1-k_1-C+E (+/+!), k_1 (+/+!), -C+E (+/+!), 2+k_1 (+) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {k_1==n,C==-n,E==1} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solution: 298.10/289.79 298.10/289.79 k_1 / n 298.10/289.79 298.10/289.79 C / -2*n 298.10/289.79 298.10/289.79 A / 0 298.10/289.79 298.10/289.79 E / 0 298.10/289.79 298.10/289.79 Resulting cost 2+n has complexity: Poly(n^1) 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Found new complexity Poly(n^1). 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Computing asymptotic complexity for rule 28 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), k_1 (+/+!), -1-C-2*A+E (+/+!), -C-A+E (+/+!), -k_1-C-2*A-(-1+k_1)*A+E (+/+!), 3+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {k_1==n,C==-2*n,A==0,E==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), k_1 (+/+!), -1-C-2*A+E (+/+!), -C-A+E (+/+!), -k_1-C-2*A-(-1+k_1)*A+E (+/+!), 3+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), -1-C+E (+/+!), 3+k_1 (+) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A (+/+!), 3+k_1 (+), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 k_1 (+/+!), 2+A (+/+!), A (+/+!), 3+k_1 (+), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {k_1==n,A==1+n} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), k_1 (+/+!), -1-C-2*A+E (+/+!), -C-A+E (+/+!), -k_1-C-2*A-(-1+k_1)*A+E (+/+!), 3+k_1 (+), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), -1-C+E (+/+!), 3+k_1 (+) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), -1-C+E (+/+!), 3+k_1 (+) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {k_1==n,C==0,E==2*n} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solution: 298.10/289.79 298.10/289.79 k_1 / n 298.10/289.79 298.10/289.79 C / -2*n 298.10/289.79 298.10/289.79 A / 0 298.10/289.79 298.10/289.79 E / 0 298.10/289.79 298.10/289.79 Resulting cost 3+n has complexity: Poly(n^1) 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Computing asymptotic complexity for rule 29 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 3+k (+), -C-A+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-2*n,A==0,k==n,E==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 3+k (+), -C-A+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), 3+k (+), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), 3+k (+), 2+A (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), 3+k (+), 2+A (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), 3+k (+), 2+A (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 3+k (+), 2+A (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==2*n,k==n} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 3+k (+), -C-A+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), 3+k (+), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), 3+k (+), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), 3+k (+), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 3+k (+), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==1,k==n} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 3+k (+), -C-A+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), 3+k (+), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), 3+k (+), 2+A (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), 3+k (+), 2+A (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 3+k (+), 2+A (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==2*n,k==n} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 3+k (+), -C-A+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), 3+k (+), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), 1+A*k+A (+/+!), 3+k (+), 2+A*k+A (+/+!), 1+A*k+A+k (+/+!), 2+A*k+A+k (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1+A*k+A (+/+!), 3+k (+), 2+A*k+A (+/+!), 1+A*k+A+k (+/+!), 2+A*k+A+k (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==0,k==n} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 3+k (+), -C-A+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), 3+k (+), 2+A*k-A*(-1+k) (+/+!), 2+A*k+A+k (+/+!), k (+/+!), 1+A*k+k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 3+k (+), 2+A*k-A*(-1+k) (+/+!), 2+A*k+A+k (+/+!), k (+/+!), 1+A*k+k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==0,k==n} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 3+k (+), -C-A+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), 3+k (+), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), 3+k (+), 2+A (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), 3+k (+), 2+A (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 3+k (+), 2+A (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==2*n,k==n} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 3+k (+), -C-A+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), 3+k (+), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), 3+k (+), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 3+k (+), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==1,k==n} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 3+k (+), -C-A+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), 3+k (+), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), 3+k (+), 2+A (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 3+k (+), 2+A (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==2*n,k==n} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 3+k (+), -C-A+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), 3+k (+), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), -C+E (+/+!), 3+k (+), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-2*n,k==n,E==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solution: 298.10/289.79 298.10/289.79 C / -2*n 298.10/289.79 298.10/289.79 A / 0 298.10/289.79 298.10/289.79 k / n 298.10/289.79 298.10/289.79 E / 0 298.10/289.79 298.10/289.79 Resulting cost 3+n has complexity: Poly(n^1) 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Computing asymptotic complexity for rule 30 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {k_1==1+n,C==-3*n,A==0,k==1+n,E==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 Solved the limit problem by the following transformations: 298.10/289.79 298.10/289.79 Created initial limit problem: 298.10/289.79 298.10/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==0} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {k_1==1} 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 1 (+/+!), 2+A (+/+!), 4+k (+), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.10/289.79 298.10/289.79 resulting limit problem: 298.10/289.79 298.10/289.79 2+A (+/+!), 4+k (+), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 removing all constraints (solved by SMT) 298.10/289.79 298.10/289.79 resulting limit problem: [solved] 298.10/289.79 298.10/289.79 298.10/289.79 298.10/289.79 applying transformation rule (C) using substitution {A==2*n,k==n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), -1+A*(-1+k)+A (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), -k_1+A*(-1+k)+A (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), -1+A*(-1+k)+A (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), -k_1+A*(-1+k)+A (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), -1+A*(-1+k)+A (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), 4+k (+), k (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 -1+A*(-1+k)+A (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), 4+k (+), k (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==1,k==n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), 2+A (+/+!), 4+k (+), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 2+A (+/+!), 4+k (+), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==2*n,k==n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 A*k+A (+/+!), 1 (+/+!), k_1 (+/+!), 1+A*k+A (+/+!), 1-k_1+A*k+A (+/+!), 2+A*k+A (+/+!), 1+A*k+A+k (+/+!), 2+A*k+A+k (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 A*k+A (+/+!), 1 (+/+!), 1+A*k+A (+/+!), 2+A*k+A (+/+!), 4+k (+), 1+A*k+A+k (+/+!), 2+A*k+A+k (+/+!), k (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 A*k+A (+/+!), 1+A*k+A (+/+!), 2+A*k+A (+/+!), 4+k (+), 1+A*k+A+k (+/+!), 2+A*k+A+k (+/+!), k (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==1,k==n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), 2+A (+/+!), 4+k (+), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 2+A (+/+!), 4+k (+), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==2*n,k==n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), -1+A*(-1+k)+A (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), -k_1+A*(-1+k)+A (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), -1+A*(-1+k)+A (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), 4+k (+), k (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 -1+A*(-1+k)+A (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), 4+k (+), k (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==1,k==n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), 2+A (+/+!), 4+k (+), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 2+A (+/+!), 4+k (+), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==2*n,k==n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), 4+k (+), k (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), 4+k (+), k (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==0,k==-2+n,E==n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), 4+k (+), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), 4+k (+), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==0,A==0,k==-1+n,E==2*n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1+A (+/+!), 2+A (+/+!), A (+/+!), -k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1+A (+/+!), 2+A (+/+!), A (+/+!), -k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1+A (+/+!), 2+A (+/+!), A (+/+!), -k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 k_1 (+/+!), 4+k_1 (+), -1+A (+/+!), 2+A (+/+!), A (+/+!), -k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==n,A==2+n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), 4+k_1 (+), -2-C+E (+/+!), -1-C+E (+/+!), -1-k_1-C+E (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1+A*(-1+k)+A+k (+/+!), -1-k_1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A+k (+/+!), -2+A*(-1+k)+A+k (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1+A*(-1+k)+A+k (+/+!), -1-k_1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A+k (+/+!), -2+A*(-1+k)+A+k (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 k_1 (+/+!), 4+k_1 (+), -1+A*(-1+k)+A+k (+/+!), -1-k_1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A+k (+/+!), -2+A*(-1+k)+A+k (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==n,A==0,k==3+n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1-C-2*A+E (+/+!), -C-A+E (+/+!), -1-k_1-C-3*A-(-1+k_1)*A+E (+/+!), -2-C-3*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 4+k_1 (+), A*(-1+k)+k (+/+!), -1-k_1+A*(-1+k)-2*A+k-(-1+k_1)*A (+/+!), 1+A*(-1+k)+A+k (+/+!), -2+A*(-1+k)-2*A+k (+/+!), -1+A*(-1+k)-A+k (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 4+k_1 (+), A*(-1+k)+k (+/+!), -1-k_1+A*(-1+k)-2*A+k-(-1+k_1)*A (+/+!), 1+A*(-1+k)+A+k (+/+!), -2+A*(-1+k)-2*A+k (+/+!), -1+A*(-1+k)-A+k (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 k_1 (+/+!), 4+k_1 (+), A*(-1+k)+k (+/+!), -1-k_1+A*(-1+k)-2*A+k-(-1+k_1)*A (+/+!), 1+A*(-1+k)+A+k (+/+!), -2+A*(-1+k)-2*A+k (+/+!), -1+A*(-1+k)-A+k (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==n,A==0,k==2*n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==1,A==n,k==-1+n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), -1+A*(-1+k)+A (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), -k_1+A*(-1+k)+A (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), -1+A*(-1+k)+A (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), -k_1+A*(-1+k)+A (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 k_1 (+/+!), -1+A*(-1+k)+A (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), -k_1+A*(-1+k)+A (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==n,A==1,k==1+n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1+A (+/+!), 2+A (+/+!), A (+/+!), -k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1+A (+/+!), 2+A (+/+!), A (+/+!), -k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 k_1 (+/+!), 4+k_1 (+), -1+A (+/+!), 2+A (+/+!), A (+/+!), -k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==n,A==2+n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), 4+k_1 (+), -2-C+E (+/+!), -1-C+E (+/+!), -1-k_1-C+E (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1+A*k+A+k (+/+!), A*k+A+k (+/+!), -k_1+A*k+A+k (+/+!), 1+A*k+A+k (+/+!), 2+A*k+A+k (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 k_1 (+/+!), 4+k_1 (+), -1+A*k+A+k (+/+!), A*k+A+k (+/+!), -k_1+A*k+A+k (+/+!), 1+A*k+A+k (+/+!), 2+A*k+A+k (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==2*n,A==1,k==n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1-C-2*A+E (+/+!), -C-A+E (+/+!), -1-k_1-C-3*A-(-1+k_1)*A+E (+/+!), -2-C-3*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), -1+A*k-2*A+k (+/+!), 4+k_1 (+), A*k-A+k (+/+!), 2+A*k+A+k (+/+!), 1+A*k+k (+/+!), 1+A (+/+!), -k_1+A*k-2*A+k-(-1+k_1)*A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 k_1 (+/+!), -1+A*k-2*A+k (+/+!), 4+k_1 (+), A*k-A+k (+/+!), 2+A*k+A+k (+/+!), 1+A*k+k (+/+!), 1+A (+/+!), -k_1+A*k-2*A+k-(-1+k_1)*A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==n,A==0,k==2*n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==1,A==n,k==-1+n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 A*k+A (+/+!), 1 (+/+!), k_1 (+/+!), 1+A*k+A (+/+!), 1-k_1+A*k+A (+/+!), 2+A*k+A (+/+!), 1+A*k+A+k (+/+!), 2+A*k+A+k (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 A*k+A (+/+!), k_1 (+/+!), 1+A*k+A (+/+!), 1-k_1+A*k+A (+/+!), 2+A*k+A (+/+!), 1+A*k+A+k (+/+!), 2+A*k+A+k (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==2+n,A==1,k==1+n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1+A (+/+!), 2+A (+/+!), A (+/+!), -k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1+A (+/+!), 2+A (+/+!), A (+/+!), -k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 k_1 (+/+!), 4+k_1 (+), -1+A (+/+!), 2+A (+/+!), A (+/+!), -k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==n,A==2+n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), 4+k_1 (+), -2-C+E (+/+!), -1-C+E (+/+!), -1-k_1-C+E (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1+A*(-1+k)+A+k (+/+!), -1-k_1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A+k (+/+!), -2+A*(-1+k)+A+k (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 k_1 (+/+!), 4+k_1 (+), -1+A*(-1+k)+A+k (+/+!), -1-k_1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A+k (+/+!), -2+A*(-1+k)+A+k (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==n,A==0,k==3+n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1-C-2*A+E (+/+!), -C-A+E (+/+!), -1-k_1-C-3*A-(-1+k_1)*A+E (+/+!), -2-C-3*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 4+k_1 (+), A*(-1+k)+k (+/+!), -1-k_1+A*(-1+k)-2*A+k-(-1+k_1)*A (+/+!), 1+A*(-1+k)+A+k (+/+!), -2+A*(-1+k)-2*A+k (+/+!), -1+A*(-1+k)-A+k (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 k_1 (+/+!), 4+k_1 (+), A*(-1+k)+k (+/+!), -1-k_1+A*(-1+k)-2*A+k-(-1+k_1)*A (+/+!), 1+A*(-1+k)+A+k (+/+!), -2+A*(-1+k)-2*A+k (+/+!), -1+A*(-1+k)-A+k (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==n,A==0,k==2*n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==1,A==n,k==-1+n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), -1+A*(-1+k)+A (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), -k_1+A*(-1+k)+A (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 k_1 (+/+!), -1+A*(-1+k)+A (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), A*(-1+k)+A (+/+!), -k_1+A*(-1+k)+A (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==n,A==1,k==1+n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k==1} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1+A (+/+!), 2+A (+/+!), A (+/+!), -k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 k_1 (+/+!), 4+k_1 (+), -1+A (+/+!), 2+A (+/+!), A (+/+!), -k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 removing all constraints (solved by SMT) 298.24/289.79 298.24/289.79 resulting limit problem: [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {k_1==n,A==2+n} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 [solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 Solved the limit problem by the following transformations: 298.24/289.79 298.24/289.79 Created initial limit problem: 298.24/289.79 298.24/289.79 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.79 298.24/289.79 298.24/289.79 298.24/289.79 applying transformation rule (C) using substitution {A==0} 298.24/289.79 298.24/289.79 resulting limit problem: 298.24/289.79 298.24/289.79 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), 4+k_1 (+), -2-C+E (+/+!), -1-C+E (+/+!), -1-k_1-C+E (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), -C+E (+/+!), 4+k_1 (+), -2-C+E (+/+!), -1-C+E (+/+!), -1-k_1-C+E (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==-2+n,C==0,E==n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), 4+k_1 (+), -1-C-2*A+E (+/+!), -C-A+E (+/+!), -1-k_1-C-3*A-(-1+k_1)*A+E (+/+!), -2-C-3*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1 (+), -1-C-2*A+E (+/+!), -C-A+E (+/+!), -1-k_1-C-3*A-(-1+k_1)*A+E (+/+!), -2-C-3*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==n,C==-2*n,A==0,E==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1 (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 1-k_1+A-k (+/+!), 2+A-k (+/+!), k (+/+!), 3+k_1+k (+), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1,A==n,k==-1+n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 -k_1-C-A*k-2*A-k-(-1+k_1)*A+E (+/+!), 1-C+E (+/+!), k_1 (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), k (+/+!), 3+k_1+k (+), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), k (+/+!), 3+k_1+k (+) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==n,C==-n,k==1,E==3} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solution: 298.24/289.80 298.24/289.80 k_1 / 1+n 298.24/289.80 298.24/289.80 C / -3*n 298.24/289.80 298.24/289.80 A / 0 298.24/289.80 298.24/289.80 k / 1+n 298.24/289.80 298.24/289.80 E / 0 298.24/289.80 298.24/289.80 Resulting cost 5+2*n has complexity: Poly(n^1) 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Computing asymptotic complexity for rule 33 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 -C-A*(-1+k)-2*A-k+E (+/+!), 1-C+E (+/+!), -1-C-2*A+E (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), 4+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {C==-2*n,A==0,k==n,E==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 -C-A*(-1+k)-2*A-k+E (+/+!), 1-C+E (+/+!), -1-C-2*A+E (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), 4+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -C-k+E (+/+!), 4+k (+), -1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+C+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), 2+A (+/+!), 4+k (+), A-k (+/+!), A (+/+!), 1+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 2+A (+/+!), 4+k (+), A-k (+/+!), A (+/+!), 1+A-k (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==2*n,k==n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 -C-A*(-1+k)-2*A-k+E (+/+!), 1-C+E (+/+!), -1-C-2*A+E (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), 4+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -C-k+E (+/+!), 4+k (+), -1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), -C+E (+/+!), -1-C-k+E (+/+!), -C-k+E (+/+!), 4+k (+), -1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {C==-2*n,k==n,E==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solution: 298.24/289.80 298.24/289.80 C / -2*n 298.24/289.80 298.24/289.80 A / 0 298.24/289.80 298.24/289.80 k / n 298.24/289.80 298.24/289.80 E / 0 298.24/289.80 298.24/289.80 Resulting cost 4+n has complexity: Poly(n^1) 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Computing asymptotic complexity for rule 34 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1,C==-2*n,A==0,k==1+n,E==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+C+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+k_1+C+k_1*A+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 5+k_1 (+), -1-k_1+A (+/+!), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1 (+/+!), 5+k_1 (+), -1-k_1+A (+/+!), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==n,A==2+n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), -1+A-k+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), 1+A+(-1+k_1)*A (+/+!), A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+A+(-1+k_1)*A (+/+!), k (+/+!), A-k+(-1+k_1)*A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+k_1+C+k_1*A+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), -1+A-k+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), 1+A+(-1+k_1)*A (+/+!), A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+A+(-1+k_1)*A (+/+!), k (+/+!), A-k+(-1+k_1)*A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 5+k_1 (+), -2+A+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), 1+A+(-1+k_1)*A (+/+!), A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+A+(-1+k_1)*A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1 (+/+!), 5+k_1 (+), -2+A+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), 1+A+(-1+k_1)*A (+/+!), A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+A+(-1+k_1)*A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==n,A==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+C+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+k_1+C+k_1*A+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 5+k_1 (+), -1-k_1+A (+/+!), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1 (+/+!), 5+k_1 (+), -1-k_1+A (+/+!), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==n,A==2+n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+k_1+C+k_1*A+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), k_1*A+A (+/+!), 4+k_1+k (+), 1+k_1*A+A-k (+/+!), 1+k_1*A+A (+/+!), 1+k_1+k_1*A+A (+/+!), k_1*A+A-k (+/+!), 2+k_1+k_1*A+A (+/+!), 2+k_1*A+A (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), k_1*A+A (+/+!), 5+k_1 (+), 1+k_1*A+A (+/+!), 1+k_1+k_1*A+A (+/+!), 2+k_1+k_1*A+A (+/+!), 2+k_1*A+A (+/+!), -1+k_1*A+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1 (+/+!), k_1*A+A (+/+!), 5+k_1 (+), 1+k_1*A+A (+/+!), 1+k_1+k_1*A+A (+/+!), 2+k_1+k_1*A+A (+/+!), 2+k_1*A+A (+/+!), -1+k_1*A+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==n,A==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+C+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 5+k_1 (+), -1-k_1+A (+/+!), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1 (+/+!), 5+k_1 (+), -1-k_1+A (+/+!), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==n,A==2+n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), -1+A-k+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), 1+A+(-1+k_1)*A (+/+!), A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+A+(-1+k_1)*A (+/+!), k (+/+!), A-k+(-1+k_1)*A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 5+k_1 (+), -2+A+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), 1+A+(-1+k_1)*A (+/+!), A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+A+(-1+k_1)*A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1 (+/+!), 5+k_1 (+), -2+A+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), 1+A+(-1+k_1)*A (+/+!), A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+A+(-1+k_1)*A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==n,A==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+C+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 5+k_1 (+), -1-k_1+A (+/+!), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1 (+/+!), 5+k_1 (+), -1-k_1+A (+/+!), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==n,A==2+n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 5+k_1 (+), -2-k_1-C+E (+/+!), -1-k_1-C+E (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 5+k_1 (+), -2-k_1-C+E (+/+!), -1-k_1-C+E (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==-3+n,C==0,E==n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), 5+k_1 (+), -2-k_1-C-k_1*A-3*A+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 5+k_1 (+), -2-k_1-C-k_1*A-3*A+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==-2+n,C==0,A==0,E==2*n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+C+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), -1+A (+/+!), -1+A-k (+/+!), 2+A (+/+!), A-k (+/+!), A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), -1+A (+/+!), -1+A-k (+/+!), 2+A (+/+!), A-k (+/+!), A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+k_1+C+k_1*A+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), -1+A (+/+!), -1+A-k (+/+!), 2+A (+/+!), A-k (+/+!), A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 -1+A (+/+!), -1+A-k (+/+!), 2+A (+/+!), A-k (+/+!), A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==2*n,k==n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -2-C+E (+/+!), -1-C-k+E (+/+!), -2-C-k+E (+/+!), 5+k (+), -1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), -1+k_1+A-k+(-1+k_1)*A (+/+!), -2+k_1+A+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+k_1+A+(-1+k_1)*A (+/+!), 5+k (+), -2+k_1+A-k+(-1+k_1)*A (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+k_1+C+k_1*A+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), -1+k_1+A-k+(-1+k_1)*A (+/+!), -2+k_1+A+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+k_1+A+(-1+k_1)*A (+/+!), 5+k (+), -2+k_1+A-k+(-1+k_1)*A (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 -1+k_1+A-k+(-1+k_1)*A (+/+!), -2+k_1+A+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+k_1+A+(-1+k_1)*A (+/+!), 5+k (+), -2+k_1+A-k+(-1+k_1)*A (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==2*n,A==0,k==n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), -1-C-2*A+E (+/+!), -1-C-A*(-1+k)-3*A-k+E (+/+!), -C-A+E (+/+!), 5+k (+), -2-C-A*k-3*A-k+E (+/+!), k (+/+!), -2-C-3*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), -1+k_1-A+(-1+k_1)*A (+/+!), -1+k_1-A*(-1+k)-2*A-k+(-1+k_1)*A (+/+!), -2+k_1-2*A+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), k_1+(-1+k_1)*A (+/+!), -2+k_1-A*k-2*A-k+(-1+k_1)*A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+k_1+C+k_1*A+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), -1+k_1-A+(-1+k_1)*A (+/+!), -1+k_1-A*(-1+k)-2*A-k+(-1+k_1)*A (+/+!), -2+k_1-2*A+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), k_1+(-1+k_1)*A (+/+!), -2+k_1-A*k-2*A-k+(-1+k_1)*A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 -1+k_1-A+(-1+k_1)*A (+/+!), -1+k_1-A*(-1+k)-2*A-k+(-1+k_1)*A (+/+!), -2+k_1-2*A+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), k_1+(-1+k_1)*A (+/+!), -2+k_1-A*k-2*A-k+(-1+k_1)*A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==2*n,A==0,k==n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+C+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+k_1+C+k_1*A+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==-2+n,A==n,k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), -1+A-k+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), 1+A+(-1+k_1)*A (+/+!), A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+A+(-1+k_1)*A (+/+!), k (+/+!), A-k+(-1+k_1)*A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+k_1+C+k_1*A+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), -1+A-k+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), 1+A+(-1+k_1)*A (+/+!), A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+A+(-1+k_1)*A (+/+!), k (+/+!), A-k+(-1+k_1)*A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1 (+/+!), 4+k_1+k (+), -1+A-k+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), 1+A+(-1+k_1)*A (+/+!), A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+A+(-1+k_1)*A (+/+!), k (+/+!), A-k+(-1+k_1)*A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==n,A==1,k==-2+n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+C+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), -1+A (+/+!), -1+A-k (+/+!), 2+A (+/+!), A-k (+/+!), A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+k_1+C+k_1*A+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), -1+A (+/+!), -1+A-k (+/+!), 2+A (+/+!), A-k (+/+!), A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 -1+A (+/+!), -1+A-k (+/+!), 2+A (+/+!), A-k (+/+!), A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==2*n,k==n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -2-C+E (+/+!), -1-C-k+E (+/+!), -2-C-k+E (+/+!), 5+k (+), -1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+k_1+C+k_1*A+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1+k_1*A+A (+/+!), 1+k_1+k_1*A+A (+/+!), k_1+k_1*A+A-k (+/+!), 2+k_1+k_1*A+A (+/+!), 5+k (+), k (+/+!), -1+k_1+k_1*A+A-k (+/+!), -1+k_1+k_1*A+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1+k_1*A+A (+/+!), 1+k_1+k_1*A+A (+/+!), k_1+k_1*A+A-k (+/+!), 2+k_1+k_1*A+A (+/+!), 5+k (+), k (+/+!), -1+k_1+k_1*A+A-k (+/+!), -1+k_1+k_1*A+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==-1-2*n,A==-2,k==n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), -1-C-2*A+E (+/+!), -1-C-A*(-1+k)-3*A-k+E (+/+!), -C-A+E (+/+!), 5+k (+), -2-C-A*k-3*A-k+E (+/+!), k (+/+!), -2-C-3*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+k_1+C+k_1*A+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1+k_1*A-A*(-1+k)-2*A-k (+/+!), 1 (+/+!), 1+k_1+k_1*A (+/+!), 2+k_1+k_1*A+A (+/+!), 5+k (+), -1+k_1+k_1*A-2*A (+/+!), k (+/+!), k_1+k_1*A-A (+/+!), -1+k_1+k_1*A-A*k-2*A-k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1+k_1*A-A*(-1+k)-2*A-k (+/+!), 1+k_1+k_1*A (+/+!), 2+k_1+k_1*A+A (+/+!), 5+k (+), -1+k_1+k_1*A-2*A (+/+!), k (+/+!), k_1+k_1*A-A (+/+!), -1+k_1+k_1*A-A*k-2*A-k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==2*n,A==0,k==n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+C+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+k_1+C+k_1*A+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==-2+n,A==n,k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+k_1+C+k_1*A+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), k_1*A+A (+/+!), 4+k_1+k (+), 1+k_1*A+A-k (+/+!), 1+k_1*A+A (+/+!), 1+k_1+k_1*A+A (+/+!), k_1*A+A-k (+/+!), 2+k_1+k_1*A+A (+/+!), 2+k_1*A+A (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1 (+/+!), k_1*A+A (+/+!), 4+k_1+k (+), 1+k_1*A+A-k (+/+!), 1+k_1*A+A (+/+!), 1+k_1+k_1*A+A (+/+!), k_1*A+A-k (+/+!), 2+k_1+k_1*A+A (+/+!), 2+k_1*A+A (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1+n,A==2,k==n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+C+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), -1+A (+/+!), -1+A-k (+/+!), 2+A (+/+!), A-k (+/+!), A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), -1+A (+/+!), -1+A-k (+/+!), 2+A (+/+!), A-k (+/+!), A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 -1+A (+/+!), -1+A-k (+/+!), 2+A (+/+!), A-k (+/+!), A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==2*n,k==n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -2-C+E (+/+!), -1-C-k+E (+/+!), -2-C-k+E (+/+!), 5+k (+), -1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), -1+k_1+A-k+(-1+k_1)*A (+/+!), -2+k_1+A+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+k_1+A+(-1+k_1)*A (+/+!), 5+k (+), -2+k_1+A-k+(-1+k_1)*A (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 -1+k_1+A-k+(-1+k_1)*A (+/+!), -2+k_1+A+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+k_1+A+(-1+k_1)*A (+/+!), 5+k (+), -2+k_1+A-k+(-1+k_1)*A (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==2*n,A==0,k==n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), -1-C-2*A+E (+/+!), -1-C-A*(-1+k)-3*A-k+E (+/+!), -C-A+E (+/+!), 5+k (+), -2-C-A*k-3*A-k+E (+/+!), k (+/+!), -2-C-3*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), -1+k_1-A+(-1+k_1)*A (+/+!), -1+k_1-A*(-1+k)-2*A-k+(-1+k_1)*A (+/+!), -2+k_1-2*A+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), k_1+(-1+k_1)*A (+/+!), -2+k_1-A*k-2*A-k+(-1+k_1)*A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 -1+k_1-A+(-1+k_1)*A (+/+!), -1+k_1-A*(-1+k)-2*A-k+(-1+k_1)*A (+/+!), -2+k_1-2*A+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), k_1+(-1+k_1)*A (+/+!), -2+k_1-A*k-2*A-k+(-1+k_1)*A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==2*n,A==0,k==n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+C+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==-2+n,A==n,k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==k_1+C+A+(-1+k_1)*A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), -1+A-k+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), 1+A+(-1+k_1)*A (+/+!), A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+A+(-1+k_1)*A (+/+!), k (+/+!), A-k+(-1+k_1)*A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1 (+/+!), 4+k_1+k (+), -1+A-k+(-1+k_1)*A (+/+!), 1+k_1+A+(-1+k_1)*A (+/+!), 1+A+(-1+k_1)*A (+/+!), A+(-1+k_1)*A (+/+!), k_1+A+(-1+k_1)*A (+/+!), -1+A+(-1+k_1)*A (+/+!), k (+/+!), A-k+(-1+k_1)*A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==n,A==1,k==-2+n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+C+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), -1+A (+/+!), -1+A-k (+/+!), 2+A (+/+!), A-k (+/+!), A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 -1+A (+/+!), -1+A-k (+/+!), 2+A (+/+!), A-k (+/+!), A (+/+!), 5+k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==2*n,k==n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -2-C+E (+/+!), -1-C-k+E (+/+!), -2-C-k+E (+/+!), 5+k (+), -1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), -C+E (+/+!), -2-C+E (+/+!), -1-C-k+E (+/+!), -2-C-k+E (+/+!), 5+k (+), -1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {C==-n,k==n,E==3} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), -1-C-2*A+E (+/+!), -1-C-A*(-1+k)-3*A-k+E (+/+!), -C-A+E (+/+!), 5+k (+), -2-C-A*k-3*A-k+E (+/+!), k (+/+!), -2-C-3*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), -1-C-2*A+E (+/+!), -1-C-A*(-1+k)-3*A-k+E (+/+!), -C-A+E (+/+!), 5+k (+), -2-C-A*k-3*A-k+E (+/+!), k (+/+!), -2-C-3*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {C==-2*n,A==0,k==n,E==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {E==1+C+A} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 k_1 (+/+!), 4+k_1+k (+), 2+A (+/+!), 2-k_1+A (+/+!), -k_1+A-k (+/+!), 1-k_1+A-k (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==-2+n,A==n,k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), k_1 (+/+!), 4+k_1+k (+), -1-k_1-C-k_1*A-A*k-2*A-k+E (+/+!), 1-k_1-C-A-(-1+k_1)*A+E (+/+!), -C-A+E (+/+!), -k_1-C-k_1*A-A+E (+/+!), k (+/+!), -k_1-C-k_1*A-A*(-1+k)-2*A-k+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1-k_1-C+E (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 4+k_1+k (+), -1-k_1-C-k+E (+/+!), -k_1-C-k+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1,C==-2*n,k==n,E==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solution: 298.24/289.80 298.24/289.80 k_1 / 1 298.24/289.80 298.24/289.80 C / -2*n 298.24/289.80 298.24/289.80 A / 0 298.24/289.80 298.24/289.80 k / 1+n 298.24/289.80 298.24/289.80 E / 0 298.24/289.80 298.24/289.80 Resulting cost 6+n has complexity: Poly(n^1) 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Computing asymptotic complexity for rule 35 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), -2-k_1-C-k_1*A-A*k-3*A-k+E (+/+!), k_1 (+/+!), 5+k_1+k (+), -1-C-2*A+E (+/+!), -2-k_1-C-k_1*A-3*A+E (+/+!), -C-A+E (+/+!), -k_1-C-2*A-(-1+k_1)*A+E (+/+!), -1-k_1-C-k_1*A-A*(-1+k)-3*A-k+E (+/+!), k (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1,C==-2*n,A==0,k==1+n,E==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), -2-k_1-C-k_1*A-A*k-3*A-k+E (+/+!), k_1 (+/+!), 5+k_1+k (+), -1-C-2*A+E (+/+!), -2-k_1-C-k_1*A-3*A+E (+/+!), -C-A+E (+/+!), -k_1-C-2*A-(-1+k_1)*A+E (+/+!), -1-k_1-C-k_1*A-A*(-1+k)-3*A-k+E (+/+!), k (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 5+k_1+k (+), -2-k_1-C+E (+/+!), -1-k_1-C-k+E (+/+!), -2-k_1-C-k+E (+/+!), -1-C+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 5+k_1+k (+), -1-k_1+A (+/+!), -1-k_1+A-k (+/+!), 2+A (+/+!), -k_1+A-k (+/+!), A (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 6+k_1 (+), 1 (+/+!), k_1 (+/+!), -1-k_1+A (+/+!), 2+A (+/+!), A (+/+!), -2-k_1+A (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 6+k_1 (+), k_1 (+/+!), -1-k_1+A (+/+!), 2+A (+/+!), A (+/+!), -2-k_1+A (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==n,A==3+n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), -2-k_1-C-k_1*A-A*k-3*A-k+E (+/+!), k_1 (+/+!), 5+k_1+k (+), -1-C-2*A+E (+/+!), -2-k_1-C-k_1*A-3*A+E (+/+!), -C-A+E (+/+!), -k_1-C-2*A-(-1+k_1)*A+E (+/+!), -1-k_1-C-k_1*A-A*(-1+k)-3*A-k+E (+/+!), k (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 5+k_1+k (+), -2-k_1-C+E (+/+!), -1-k_1-C-k+E (+/+!), -2-k_1-C-k+E (+/+!), -1-C+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 6+k_1 (+), 1-C+E (+/+!), -3-k_1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), -2-k_1-C+E (+/+!), -1-C+E (+/+!), -1-k_1-C+E (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 6+k_1 (+), 1-C+E (+/+!), -3-k_1-C+E (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), -2-k_1-C+E (+/+!), -1-C+E (+/+!), -1-k_1-C+E (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==-2+n,C==-n,E==2} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), -2-k_1-C-k_1*A-A*k-3*A-k+E (+/+!), k_1 (+/+!), 5+k_1+k (+), -1-C-2*A+E (+/+!), -2-k_1-C-k_1*A-3*A+E (+/+!), -C-A+E (+/+!), -k_1-C-2*A-(-1+k_1)*A+E (+/+!), -1-k_1-C-k_1*A-A*(-1+k)-3*A-k+E (+/+!), k (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 6+k_1 (+), 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -1-C-2*A+E (+/+!), -2-k_1-C-k_1*A-3*A+E (+/+!), -C-A+E (+/+!), -3-k_1-C-k_1*A-4*A+E (+/+!), -k_1-C-2*A-(-1+k_1)*A+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 6+k_1 (+), 1-C+E (+/+!), k_1 (+/+!), -1-C-2*A+E (+/+!), -2-k_1-C-k_1*A-3*A+E (+/+!), -C-A+E (+/+!), -3-k_1-C-k_1*A-4*A+E (+/+!), -k_1-C-2*A-(-1+k_1)*A+E (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==-2+n,C==0,A==0,E==2*n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), -2-k_1-C-k_1*A-A*k-3*A-k+E (+/+!), k_1 (+/+!), 5+k_1+k (+), -1-C-2*A+E (+/+!), -2-k_1-C-k_1*A-3*A+E (+/+!), -C-A+E (+/+!), -k_1-C-2*A-(-1+k_1)*A+E (+/+!), -1-k_1-C-k_1*A-A*(-1+k)-3*A-k+E (+/+!), k (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 5+k_1+k (+), -2-k_1-C+E (+/+!), -1-k_1-C-k+E (+/+!), -2-k_1-C-k+E (+/+!), -1-C+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), k_1 (+/+!), 5+k_1+k (+), -1-k_1+A (+/+!), -1-k_1+A-k (+/+!), 2+A (+/+!), -k_1+A-k (+/+!), A (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1 (+/+!), -1+A (+/+!), -1+A-k (+/+!), -2+A-k (+/+!), 6+k (+), 2+A (+/+!), A (+/+!), -2+A (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 -1+A (+/+!), -1+A-k (+/+!), -2+A-k (+/+!), 6+k (+), 2+A (+/+!), A (+/+!), -2+A (+/+!), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 removing all constraints (solved by SMT) 298.24/289.80 298.24/289.80 resulting limit problem: [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==2*n,k==n} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 [solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 Solved the limit problem by the following transformations: 298.24/289.80 298.24/289.80 Created initial limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), -2-k_1-C-k_1*A-A*k-3*A-k+E (+/+!), k_1 (+/+!), 5+k_1+k (+), -1-C-2*A+E (+/+!), -2-k_1-C-k_1*A-3*A+E (+/+!), -C-A+E (+/+!), -k_1-C-2*A-(-1+k_1)*A+E (+/+!), -1-k_1-C-k_1*A-A*(-1+k)-3*A-k+E (+/+!), k (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {A==0} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 5+k_1+k (+), -2-k_1-C+E (+/+!), -1-k_1-C-k+E (+/+!), -2-k_1-C-k+E (+/+!), -1-C+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.80 298.24/289.80 298.24/289.80 298.24/289.80 applying transformation rule (C) using substitution {k_1==1} 298.24/289.80 298.24/289.80 resulting limit problem: 298.24/289.80 298.24/289.80 1-C+E (+/+!), -3-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -2-C+E (+/+!), 6+k (+), -3-C-k+E (+/+!), -2-C-k+E (+/+!), -1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -3-C+E (+/+!), -C+E (+/+!), -2-C+E (+/+!), 6+k (+), -3-C-k+E (+/+!), -2-C-k+E (+/+!), -1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 removing all constraints (solved by SMT) 298.24/289.81 298.24/289.81 resulting limit problem: [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==0,k==-4+n,E==n} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Solved the limit problem by the following transformations: 298.24/289.81 298.24/289.81 Created initial limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -2-k_1-C-k_1*A-A*k-3*A-k+E (+/+!), k_1 (+/+!), 5+k_1+k (+), -1-C-2*A+E (+/+!), -2-k_1-C-k_1*A-3*A+E (+/+!), -C-A+E (+/+!), -k_1-C-2*A-(-1+k_1)*A+E (+/+!), -1-k_1-C-k_1*A-A*(-1+k)-3*A-k+E (+/+!), k (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {k_1==1} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -3-C-A*k-4*A-k+E (+/+!), 1 (+/+!), -3-C-4*A+E (+/+!), -1-C-2*A+E (+/+!), -2-C-A*(-1+k)-4*A-k+E (+/+!), -C-A+E (+/+!), 6+k (+), k (+/+!), -2-C-3*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -3-C-A*k-4*A-k+E (+/+!), -3-C-4*A+E (+/+!), -1-C-2*A+E (+/+!), -2-C-A*(-1+k)-4*A-k+E (+/+!), -C-A+E (+/+!), 6+k (+), k (+/+!), -2-C-3*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 removing all constraints (solved by SMT) 298.24/289.81 298.24/289.81 resulting limit problem: [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==-2*n,A==0,k==n,E==0} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Solved the limit problem by the following transformations: 298.24/289.81 298.24/289.81 Created initial limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -2-k_1-C-k_1*A-A*k-3*A-k+E (+/+!), k_1 (+/+!), 5+k_1+k (+), -1-C-2*A+E (+/+!), -2-k_1-C-k_1*A-3*A+E (+/+!), -C-A+E (+/+!), -k_1-C-2*A-(-1+k_1)*A+E (+/+!), -1-k_1-C-k_1*A-A*(-1+k)-3*A-k+E (+/+!), k (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==0} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 5+k_1+k (+), -2-k_1-C+E (+/+!), -1-k_1-C-k+E (+/+!), -2-k_1-C-k+E (+/+!), -1-C+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1 (+/+!), k_1 (+/+!), 5+k_1+k (+), -1-k_1+A (+/+!), -1-k_1+A-k (+/+!), 2+A (+/+!), -k_1+A-k (+/+!), A (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 k_1 (+/+!), 5+k_1+k (+), -1-k_1+A (+/+!), -1-k_1+A-k (+/+!), 2+A (+/+!), -k_1+A-k (+/+!), A (+/+!), k (+/+!), -k_1+A (+/+!), 1-k_1+A (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 removing all constraints (solved by SMT) 298.24/289.81 298.24/289.81 resulting limit problem: [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {k_1==-2+n,A==1+n,k==1} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Solved the limit problem by the following transformations: 298.24/289.81 298.24/289.81 Created initial limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -2-k_1-C-k_1*A-A*k-3*A-k+E (+/+!), k_1 (+/+!), 5+k_1+k (+), -1-C-2*A+E (+/+!), -2-k_1-C-k_1*A-3*A+E (+/+!), -C-A+E (+/+!), -k_1-C-2*A-(-1+k_1)*A+E (+/+!), -1-k_1-C-k_1*A-A*(-1+k)-3*A-k+E (+/+!), k (+/+!), -1-k_1-C-k_1*A-2*A+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==0} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), 1 (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 5+k_1+k (+), -2-k_1-C+E (+/+!), -1-k_1-C-k+E (+/+!), -2-k_1-C-k+E (+/+!), -1-C+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), k_1 (+/+!), -k_1-C+E (+/+!), -C+E (+/+!), 5+k_1+k (+), -2-k_1-C+E (+/+!), -1-k_1-C-k+E (+/+!), -2-k_1-C-k+E (+/+!), -1-C+E (+/+!), -1-k_1-C+E (+/+!), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 removing all constraints (solved by SMT) 298.24/289.81 298.24/289.81 resulting limit problem: [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {k_1==-4+n,C==0,k==1,E==n} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Solution: 298.24/289.81 298.24/289.81 k_1 / 1 298.24/289.81 298.24/289.81 C / -2*n 298.24/289.81 298.24/289.81 A / 0 298.24/289.81 298.24/289.81 k / 1+n 298.24/289.81 298.24/289.81 E / 0 298.24/289.81 298.24/289.81 Resulting cost 7+n has complexity: Poly(n^1) 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Computing asymptotic complexity for rule 36 298.24/289.81 298.24/289.81 Solved the limit problem by the following transformations: 298.24/289.81 298.24/289.81 Created initial limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -1-C-A*k-A*(-1+k)-3*A-2*k+E (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), -2-C-2*A*k-3*A-2*k+E (+/+!), 5+2*k (+), -2-C-A*k-3*A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 removing all constraints (solved by SMT) 298.24/289.81 298.24/289.81 resulting limit problem: [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==0,A==0,k==-2+n,E==1+2*n} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Solved the limit problem by the following transformations: 298.24/289.81 298.24/289.81 Created initial limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -1-C-A*k-A*(-1+k)-3*A-2*k+E (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), -2-C-2*A*k-3*A-2*k+E (+/+!), 5+2*k (+), -2-C-A*k-3*A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==0} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -2-C-2*k+E (+/+!), -1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), -2-C-k+E (+/+!), -1-C-2*k+E (+/+!), 5+2*k (+), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1 (+/+!), A-2*k (+/+!), -1+A-k (+/+!), -1+A-2*k (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), 5+2*k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1 (+/+!), A-2*k (+/+!), -1+A-k (+/+!), -1+A-2*k (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), 5+2*k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1 (+/+!), A-2*k (+/+!), -1+A-k (+/+!), -1+A-2*k (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), 5+2*k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 A-2*k (+/+!), -1+A-k (+/+!), -1+A-2*k (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), 5+2*k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 removing all constraints (solved by SMT) 298.24/289.81 298.24/289.81 resulting limit problem: [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==3*n,k==n} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Solved the limit problem by the following transformations: 298.24/289.81 298.24/289.81 Created initial limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -1-C-A*k-A*(-1+k)-3*A-2*k+E (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), -2-C-2*A*k-3*A-2*k+E (+/+!), 5+2*k (+), -2-C-A*k-3*A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==0} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -2-C-2*k+E (+/+!), -1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), -2-C-k+E (+/+!), -1-C-2*k+E (+/+!), 5+2*k (+), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1 (+/+!), -1+A*(-1+k)+A (+/+!), -2+A*(-1+k)+A-k (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), -1+A*(-1+k)+A-k (+/+!), A*(-1+k)+A (+/+!), -2+A*(-1+k)+A (+/+!), 5+2*k (+), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1 (+/+!), -1+A*(-1+k)+A (+/+!), -2+A*(-1+k)+A-k (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), -1+A*(-1+k)+A-k (+/+!), A*(-1+k)+A (+/+!), -2+A*(-1+k)+A (+/+!), 5+2*k (+), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 -1+A*(-1+k)+A (+/+!), -2+A*(-1+k)+A-k (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), -1+A*(-1+k)+A-k (+/+!), A*(-1+k)+A (+/+!), -2+A*(-1+k)+A (+/+!), 5+2*k (+), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 removing all constraints (solved by SMT) 298.24/289.81 298.24/289.81 resulting limit problem: [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==2,k==n} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Solved the limit problem by the following transformations: 298.24/289.81 298.24/289.81 Created initial limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -1-C-A*k-A*(-1+k)-3*A-2*k+E (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), -2-C-2*A*k-3*A-2*k+E (+/+!), 5+2*k (+), -2-C-A*k-3*A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==0} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -2-C-2*k+E (+/+!), -1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), -2-C-k+E (+/+!), -1-C-2*k+E (+/+!), 5+2*k (+), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1 (+/+!), A-2*k (+/+!), -1+A-k (+/+!), -1+A-2*k (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), 5+2*k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1 (+/+!), A-2*k (+/+!), -1+A-k (+/+!), -1+A-2*k (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), 5+2*k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 A-2*k (+/+!), -1+A-k (+/+!), -1+A-2*k (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), 5+2*k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 removing all constraints (solved by SMT) 298.24/289.81 298.24/289.81 resulting limit problem: [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==3*n,k==n} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Solved the limit problem by the following transformations: 298.24/289.81 298.24/289.81 Created initial limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -1-C-A*k-A*(-1+k)-3*A-2*k+E (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), -2-C-2*A*k-3*A-2*k+E (+/+!), 5+2*k (+), -2-C-A*k-3*A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==0} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -2-C-2*k+E (+/+!), -1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), -2-C-k+E (+/+!), -1-C-2*k+E (+/+!), 5+2*k (+), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==-1-A*k-A-k+E} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 A*k+A (+/+!), 1 (+/+!), 1+A*k+A (+/+!), A*k+A-k (+/+!), 2+A*k+A (+/+!), 1+A*k+A+k (+/+!), -1+A*k+A-k (+/+!), 5+2*k (+), 2+A*k+A+k (+/+!), k (+/+!), -1+A*k+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 A*k+A (+/+!), 1+A*k+A (+/+!), A*k+A-k (+/+!), 2+A*k+A (+/+!), 1+A*k+A+k (+/+!), -1+A*k+A-k (+/+!), 5+2*k (+), 2+A*k+A+k (+/+!), k (+/+!), -1+A*k+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 removing all constraints (solved by SMT) 298.24/289.81 298.24/289.81 resulting limit problem: [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==2,k==n} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Solved the limit problem by the following transformations: 298.24/289.81 298.24/289.81 Created initial limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -1-C-A*k-A*(-1+k)-3*A-2*k+E (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), -2-C-2*A*k-3*A-2*k+E (+/+!), 5+2*k (+), -2-C-A*k-3*A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==0} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -2-C-2*k+E (+/+!), -1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), -2-C-k+E (+/+!), -1-C-2*k+E (+/+!), 5+2*k (+), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1 (+/+!), A-2*k (+/+!), -1+A-k (+/+!), -1+A-2*k (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), 5+2*k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1 (+/+!), A-2*k (+/+!), -1+A-k (+/+!), -1+A-2*k (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), 5+2*k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 A-2*k (+/+!), -1+A-k (+/+!), -1+A-2*k (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), 5+2*k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 removing all constraints (solved by SMT) 298.24/289.81 298.24/289.81 resulting limit problem: [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==3*n,k==n} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Solved the limit problem by the following transformations: 298.24/289.81 298.24/289.81 Created initial limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -1-C-A*k-A*(-1+k)-3*A-2*k+E (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), -2-C-2*A*k-3*A-2*k+E (+/+!), 5+2*k (+), -2-C-A*k-3*A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==0} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -2-C-2*k+E (+/+!), -1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), -2-C-k+E (+/+!), -1-C-2*k+E (+/+!), 5+2*k (+), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==-A*(-1+k)-A-k+E} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1 (+/+!), -1+A*(-1+k)+A (+/+!), -2+A*(-1+k)+A-k (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), -1+A*(-1+k)+A-k (+/+!), A*(-1+k)+A (+/+!), -2+A*(-1+k)+A (+/+!), 5+2*k (+), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 -1+A*(-1+k)+A (+/+!), -2+A*(-1+k)+A-k (+/+!), A*(-1+k)+A+k (+/+!), 1+A*(-1+k)+A (+/+!), 1+A*(-1+k)+A+k (+/+!), -1+A*(-1+k)+A-k (+/+!), A*(-1+k)+A (+/+!), -2+A*(-1+k)+A (+/+!), 5+2*k (+), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 removing all constraints (solved by SMT) 298.24/289.81 298.24/289.81 resulting limit problem: [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==2,k==n} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Solved the limit problem by the following transformations: 298.24/289.81 298.24/289.81 Created initial limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -1-C-A*k-A*(-1+k)-3*A-2*k+E (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), -2-C-2*A*k-3*A-2*k+E (+/+!), 5+2*k (+), -2-C-A*k-3*A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==0} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -2-C-2*k+E (+/+!), -1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), -2-C-k+E (+/+!), -1-C-2*k+E (+/+!), 5+2*k (+), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==-1-A+E} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1 (+/+!), A-2*k (+/+!), -1+A-k (+/+!), -1+A-2*k (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), 5+2*k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 A-2*k (+/+!), -1+A-k (+/+!), -1+A-2*k (+/+!), 2+A (+/+!), A-k (+/+!), 1+A-k (+/+!), 2+A-k (+/+!), 5+2*k (+), k (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 removing all constraints (solved by SMT) 298.24/289.81 298.24/289.81 resulting limit problem: [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==3*n,k==n} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Solved the limit problem by the following transformations: 298.24/289.81 298.24/289.81 Created initial limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -1-C-A*k-A*(-1+k)-3*A-2*k+E (+/+!), -C-A+E (+/+!), -1-C-A*k-2*A-k+E (+/+!), -C-A*k-A-k+E (+/+!), -2-C-2*A*k-3*A-2*k+E (+/+!), 5+2*k (+), -2-C-A*k-3*A-k+E (+/+!), k (+/+!), 1-C-A*(-1+k)-A-k+E (+/+!), 1+A (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {A==0} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), 1 (+/+!), -C+E (+/+!), -2-C-2*k+E (+/+!), -1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), -2-C-k+E (+/+!), -1-C-2*k+E (+/+!), 5+2*k (+), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (B), deleting 1 (+/+!) 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 1-C+E (+/+!), -C+E (+/+!), -2-C-2*k+E (+/+!), -1-C-k+E (+/+!), -C-k+E (+/+!), 1-C-k+E (+/+!), -2-C-k+E (+/+!), -1-C-2*k+E (+/+!), 5+2*k (+), k (+/+!) [not solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 removing all constraints (solved by SMT) 298.24/289.81 298.24/289.81 resulting limit problem: [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 applying transformation rule (C) using substitution {C==0,k==-2+n,E==2*n} 298.24/289.81 298.24/289.81 resulting limit problem: 298.24/289.81 298.24/289.81 [solved] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Solution: 298.24/289.81 298.24/289.81 C / 0 298.24/289.81 298.24/289.81 A / 0 298.24/289.81 298.24/289.81 k / -2+n 298.24/289.81 298.24/289.81 E / 1+2*n 298.24/289.81 298.24/289.81 Resulting cost 1+2*n has complexity: Poly(n^1) 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Computing asymptotic complexity for rule 37 298.24/289.81 298.24/289.81 Could not solve the limit problem. 298.24/289.81 298.24/289.81 Resulting cost 0 has complexity: Unknown 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 Obtained the following overall complexity (w.r.t. the length of the input n): 298.24/289.81 298.24/289.81 Complexity: Poly(n^1) 298.24/289.81 298.24/289.81 Cpx degree: 1 298.24/289.81 298.24/289.81 Solved cost: 2+n 298.24/289.81 298.24/289.81 Rule cost: 2+k_1 298.24/289.81 298.24/289.81 Rule guard: [ A>=0 && E>=C && E>=1+C+A && k_1>0 && E>=k_1+C+A+(-1+k_1)*A ] 298.24/289.81 298.24/289.81 298.24/289.81 298.24/289.81 WORST_CASE(Omega(n^1),?) 298.24/289.81 298.24/289.81 298.24/289.81 ---------------------------------------- 298.24/289.81 298.24/289.81 (4) 298.24/289.81 BOUNDS(n^1, INF) 298.24/289.82 EOF