WORST_CASE(?, O(n^1)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 5 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, 0, Ar_6, Ar_7 + 1)) [ 2 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, 0, Ar_2, Ar_3, Ar_4, 1, Ar_6, Ar_7)) [ Ar_0 >= 3 /\ 4 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 4 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] (Comp: ?, Cost: 1) lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, 0, Ar_6, Ar_7 + 1)) [ 1 >= Ar_3 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] (Comp: ?, Cost: 1) lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, 0, Ar_2, Ar_3, Ar_4, 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 3 >= Ar_3 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] (Comp: ?, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5, Ar_6, Ar_7 + 1)) [ 2 >= Ar_7 /\ 9 >= Ar_1 /\ Ar_1 >= 0 /\ Ar_7 >= Ar_0 /\ Ar_7 >= 3 /\ 4 >= Ar_7 /\ Ar_5 = Ar_1 + 1 ] (Comp: ?, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5, Ar_6, Ar_7 + 1)) [ Ar_7 >= Ar_0 /\ Ar_7 >= 3 /\ 4 >= Ar_7 /\ Ar_5 = 10 /\ Ar_1 = 9 ] (Comp: ?, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_5, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= 3 /\ 8 >= Ar_1 /\ 9 >= Ar_1 /\ Ar_1 >= 0 /\ Ar_7 >= Ar_0 /\ 4 >= Ar_7 /\ Ar_5 = Ar_1 + 1 ] (Comp: ?, Cost: 1) start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_4, Ar_4, Ar_6, Ar_6, Ar_0)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Testing for reachability in the complexity graph removes the following transition from problem 1: lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5, Ar_6, Ar_7 + 1)) [ 2 >= Ar_7 /\ 9 >= Ar_1 /\ Ar_1 >= 0 /\ Ar_7 >= Ar_0 /\ Ar_7 >= 3 /\ 4 >= Ar_7 /\ Ar_5 = Ar_1 + 1 ] We thus obtain the following problem: 2: T: (Comp: ?, Cost: 1) lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 4 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] (Comp: ?, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5, Ar_6, Ar_7 + 1)) [ Ar_7 >= Ar_0 /\ Ar_7 >= 3 /\ 4 >= Ar_7 /\ Ar_5 = 10 /\ Ar_1 = 9 ] (Comp: ?, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_5, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= 3 /\ 8 >= Ar_1 /\ 9 >= Ar_1 /\ Ar_1 >= 0 /\ Ar_7 >= Ar_0 /\ 4 >= Ar_7 /\ Ar_5 = Ar_1 + 1 ] (Comp: ?, Cost: 1) lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, 0, Ar_2, Ar_3, Ar_4, 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 3 >= Ar_3 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] (Comp: ?, Cost: 1) lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, 0, Ar_6, Ar_7 + 1)) [ 1 >= Ar_3 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] (Comp: ?, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, 0, Ar_2, Ar_3, Ar_4, 1, Ar_6, Ar_7)) [ Ar_0 >= 3 /\ 4 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, 0, Ar_6, Ar_7 + 1)) [ 2 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 5 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_4, Ar_4, Ar_6, Ar_6, Ar_0)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 2 produces the following problem: 3: T: (Comp: ?, Cost: 1) lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 4 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] (Comp: ?, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5, Ar_6, Ar_7 + 1)) [ Ar_7 >= Ar_0 /\ Ar_7 >= 3 /\ 4 >= Ar_7 /\ Ar_5 = 10 /\ Ar_1 = 9 ] (Comp: ?, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_5, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= 3 /\ 8 >= Ar_1 /\ 9 >= Ar_1 /\ Ar_1 >= 0 /\ Ar_7 >= Ar_0 /\ 4 >= Ar_7 /\ Ar_5 = Ar_1 + 1 ] (Comp: ?, Cost: 1) lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, 0, Ar_2, Ar_3, Ar_4, 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 3 >= Ar_3 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] (Comp: ?, Cost: 1) lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, 0, Ar_6, Ar_7 + 1)) [ 1 >= Ar_3 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, 0, Ar_2, Ar_3, Ar_4, 1, Ar_6, Ar_7)) [ Ar_0 >= 3 /\ 4 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, 0, Ar_6, Ar_7 + 1)) [ 2 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 5 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: 1, Cost: 1) start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_4, Ar_4, Ar_6, Ar_6, Ar_0)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(lbl92) = 30 Pol(stop) = 29 Pol(lbl82) = 30 Pol(start) = 30 Pol(start0) = 30 Pol(koat_start) = 30 orients all transitions weakly and the transition lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 4 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] strictly and produces the following problem: 4: T: (Comp: 30, Cost: 1) lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 4 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] (Comp: ?, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5, Ar_6, Ar_7 + 1)) [ Ar_7 >= Ar_0 /\ Ar_7 >= 3 /\ 4 >= Ar_7 /\ Ar_5 = 10 /\ Ar_1 = 9 ] (Comp: ?, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_5, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= 3 /\ 8 >= Ar_1 /\ 9 >= Ar_1 /\ Ar_1 >= 0 /\ Ar_7 >= Ar_0 /\ 4 >= Ar_7 /\ Ar_5 = Ar_1 + 1 ] (Comp: ?, Cost: 1) lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, 0, Ar_2, Ar_3, Ar_4, 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 3 >= Ar_3 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] (Comp: ?, Cost: 1) lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, 0, Ar_6, Ar_7 + 1)) [ 1 >= Ar_3 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, 0, Ar_2, Ar_3, Ar_4, 1, Ar_6, Ar_7)) [ Ar_0 >= 3 /\ 4 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, 0, Ar_6, Ar_7 + 1)) [ 2 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 5 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: 1, Cost: 1) start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_4, Ar_4, Ar_6, Ar_6, Ar_0)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(lbl92) = -11*V_8 + 55 Pol(stop) = -11*V_8 Pol(lbl82) = -V_6 - 11*V_8 + 55 Pol(start) = -11*V_8 + 54 Pol(start0) = -11*V_1 + 54 Pol(koat_start) = -11*V_1 + 54 orients all transitions weakly and the transitions lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, 0, Ar_6, Ar_7 + 1)) [ 1 >= Ar_3 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, 0, Ar_2, Ar_3, Ar_4, 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 3 >= Ar_3 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5, Ar_6, Ar_7 + 1)) [ Ar_7 >= Ar_0 /\ Ar_7 >= 3 /\ 4 >= Ar_7 /\ Ar_5 = 10 /\ Ar_1 = 9 ] lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_5, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= 3 /\ 8 >= Ar_1 /\ 9 >= Ar_1 /\ Ar_1 >= 0 /\ Ar_7 >= Ar_0 /\ 4 >= Ar_7 /\ Ar_5 = Ar_1 + 1 ] strictly and produces the following problem: 5: T: (Comp: 30, Cost: 1) lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 4 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] (Comp: 11*Ar_0 + 54, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5, Ar_6, Ar_7 + 1)) [ Ar_7 >= Ar_0 /\ Ar_7 >= 3 /\ 4 >= Ar_7 /\ Ar_5 = 10 /\ Ar_1 = 9 ] (Comp: 11*Ar_0 + 54, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_5, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= 3 /\ 8 >= Ar_1 /\ 9 >= Ar_1 /\ Ar_1 >= 0 /\ Ar_7 >= Ar_0 /\ 4 >= Ar_7 /\ Ar_5 = Ar_1 + 1 ] (Comp: 11*Ar_0 + 54, Cost: 1) lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, 0, Ar_2, Ar_3, Ar_4, 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 3 >= Ar_3 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] (Comp: 11*Ar_0 + 54, Cost: 1) lbl92(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, 0, Ar_6, Ar_7 + 1)) [ 1 >= Ar_3 /\ Ar_3 >= Ar_0 /\ Ar_5 + 10 >= 5*Ar_3 /\ Ar_5 >= 0 /\ Ar_7 = Ar_3 + 1 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, 0, Ar_2, Ar_3, Ar_4, 1, Ar_6, Ar_7)) [ Ar_0 >= 3 /\ 4 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl92(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, 0, Ar_6, Ar_7 + 1)) [ 2 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 5 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: 1, Cost: 1) start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_4, Ar_4, Ar_6, Ar_6, Ar_0)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 44*Ar_0 + 250 Time: 2.888 sec (SMT: 2.806 sec)