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_7 - 10, Ar_2, 1, Ar_4, Ar_7, Ar_6, Ar_7)) [ Ar_0 >= 101 /\ 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(lbl111(Ar_0, Ar_1, Ar_2, 2, Ar_4, Ar_7 + 11, Ar_6, Ar_7)) [ 100 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) lbl161(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)) [ 89 >= Ar_0 /\ Ar_3 = 1 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_1 = 91 ] (Comp: ?, Cost: 1) lbl161(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ 0 >= 10 /\ 89 >= Ar_0 /\ 0 >= 1 /\ Ar_3 = 2 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_1 = 91 ] (Comp: ?, Cost: 1) lbl161(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= 2 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_3 = 1 /\ Ar_1 = 91 ] (Comp: ?, Cost: 1) lbl161(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= 1 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_3 = 1 /\ Ar_1 = 91 ] (Comp: ?, Cost: 1) lbl161(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ 0 >= 10 /\ 0 >= 2 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_3 = 1 /\ Ar_1 = 91 ] (Comp: ?, Cost: 1) lbl221(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)) [ 1 >= Ar_3 /\ Ar_3 >= 2 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ 99 >= Ar_0 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 110 >= Ar_5 /\ Ar_3 >= 2 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 110 >= Ar_5 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ Ar_3 >= 2 /\ 121 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5 + 11, Ar_6, Ar_7)) [ 111 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: ?, Cost: 1) lbl111(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)) [ 11*Ar_3 + Ar_0 >= 112 /\ 1 >= Ar_3 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = 100 /\ Ar_1 = Ar_2 /\ Ar_0 = 100 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 3 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 2 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 11*Ar_3 >= 22 /\ Ar_5 = 111 /\ Ar_7 + 11*Ar_3 = 122 /\ Ar_1 = Ar_2 /\ Ar_0 + 11*Ar_3 = 122 ] (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 transitions from problem 1: lbl161(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ 0 >= 10 /\ 89 >= Ar_0 /\ 0 >= 1 /\ Ar_3 = 2 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_1 = 91 ] lbl161(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= 2 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_3 = 1 /\ Ar_1 = 91 ] lbl161(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= 1 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_3 = 1 /\ Ar_1 = 91 ] lbl161(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ 0 >= 10 /\ 0 >= 2 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_3 = 1 /\ Ar_1 = 91 ] lbl221(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)) [ 1 >= Ar_3 /\ Ar_3 >= 2 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] lbl111(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)) [ 11*Ar_3 + Ar_0 >= 112 /\ 1 >= Ar_3 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] We thus obtain the following problem: 2: T: (Comp: ?, Cost: 1) lbl161(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)) [ 89 >= Ar_0 /\ Ar_3 = 1 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_1 = 91 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ 99 >= Ar_0 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ Ar_3 >= 2 /\ 121 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 110 >= Ar_5 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 110 >= Ar_5 /\ Ar_3 >= 2 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 11*Ar_3 >= 22 /\ Ar_5 = 111 /\ Ar_7 + 11*Ar_3 = 122 /\ Ar_1 = Ar_2 /\ Ar_0 + 11*Ar_3 = 122 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 3 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 2 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = 100 /\ Ar_1 = Ar_2 /\ Ar_0 = 100 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5 + 11, Ar_6, Ar_7)) [ 111 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: ?, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_1, Ar_2, 2, Ar_4, Ar_7 + 11, Ar_6, Ar_7)) [ 100 >= 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_7 - 10, Ar_2, 1, Ar_4, Ar_7, Ar_6, Ar_7)) [ Ar_0 >= 101 /\ 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) lbl161(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)) [ 89 >= Ar_0 /\ Ar_3 = 1 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_1 = 91 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ 99 >= Ar_0 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ Ar_3 >= 2 /\ 121 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 110 >= Ar_5 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 110 >= Ar_5 /\ Ar_3 >= 2 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 11*Ar_3 >= 22 /\ Ar_5 = 111 /\ Ar_7 + 11*Ar_3 = 122 /\ Ar_1 = Ar_2 /\ Ar_0 + 11*Ar_3 = 122 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 3 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 2 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: 1, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = 100 /\ Ar_1 = Ar_2 /\ Ar_0 = 100 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5 + 11, Ar_6, Ar_7)) [ 111 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + 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(lbl111(Ar_0, Ar_1, Ar_2, 2, Ar_4, Ar_7 + 11, Ar_6, Ar_7)) [ 100 >= 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_7 - 10, Ar_2, 1, Ar_4, Ar_7, Ar_6, Ar_7)) [ Ar_0 >= 101 /\ 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(lbl161) = 1 Pol(stop) = 0 Pol(lbl221) = 2 Pol(lbl111) = 3 Pol(start) = 3 Pol(start0) = 3 Pol(koat_start) = 3 orients all transitions weakly and the transition lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ 99 >= Ar_0 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] strictly and produces the following problem: 4: T: (Comp: ?, Cost: 1) lbl161(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)) [ 89 >= Ar_0 /\ Ar_3 = 1 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_1 = 91 ] (Comp: 3, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ 99 >= Ar_0 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ Ar_3 >= 2 /\ 121 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 110 >= Ar_5 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 110 >= Ar_5 /\ Ar_3 >= 2 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 11*Ar_3 >= 22 /\ Ar_5 = 111 /\ Ar_7 + 11*Ar_3 = 122 /\ Ar_1 = Ar_2 /\ Ar_0 + 11*Ar_3 = 122 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 3 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 2 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: 1, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = 100 /\ Ar_1 = Ar_2 /\ Ar_0 = 100 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5 + 11, Ar_6, Ar_7)) [ 111 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + 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(lbl111(Ar_0, Ar_1, Ar_2, 2, Ar_4, Ar_7 + 11, Ar_6, Ar_7)) [ 100 >= 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_7 - 10, Ar_2, 1, Ar_4, Ar_7, Ar_6, Ar_7)) [ Ar_0 >= 101 /\ 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 Repeatedly propagating knowledge in problem 4 produces the following problem: 5: T: (Comp: 3, Cost: 1) lbl161(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)) [ 89 >= Ar_0 /\ Ar_3 = 1 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_1 = 91 ] (Comp: 3, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ 99 >= Ar_0 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ Ar_3 >= 2 /\ 121 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 110 >= Ar_5 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 110 >= Ar_5 /\ Ar_3 >= 2 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 11*Ar_3 >= 22 /\ Ar_5 = 111 /\ Ar_7 + 11*Ar_3 = 122 /\ Ar_1 = Ar_2 /\ Ar_0 + 11*Ar_3 = 122 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 3 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 2 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: 1, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = 100 /\ Ar_1 = Ar_2 /\ Ar_0 = 100 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5 + 11, Ar_6, Ar_7)) [ 111 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + 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(lbl111(Ar_0, Ar_1, Ar_2, 2, Ar_4, Ar_7 + 11, Ar_6, Ar_7)) [ 100 >= 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_7 - 10, Ar_2, 1, Ar_4, Ar_7, Ar_6, Ar_7)) [ Ar_0 >= 101 /\ 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(lbl161) = -8 Pol(stop) = -8 Pol(lbl221) = -8 Pol(lbl111) = 1 Pol(start) = 1 Pol(start0) = 1 Pol(koat_start) = 1 orients all transitions weakly and the transition lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 11*Ar_3 >= 22 /\ Ar_5 = 111 /\ Ar_7 + 11*Ar_3 = 122 /\ Ar_1 = Ar_2 /\ Ar_0 + 11*Ar_3 = 122 ] strictly and produces the following problem: 6: T: (Comp: 3, Cost: 1) lbl161(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)) [ 89 >= Ar_0 /\ Ar_3 = 1 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_1 = 91 ] (Comp: 3, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ 99 >= Ar_0 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ Ar_3 >= 2 /\ 121 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 110 >= Ar_5 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 110 >= Ar_5 /\ Ar_3 >= 2 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: 1, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 11*Ar_3 >= 22 /\ Ar_5 = 111 /\ Ar_7 + 11*Ar_3 = 122 /\ Ar_1 = Ar_2 /\ Ar_0 + 11*Ar_3 = 122 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 3 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 2 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: 1, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = 100 /\ Ar_1 = Ar_2 /\ Ar_0 = 100 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5 + 11, Ar_6, Ar_7)) [ 111 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + 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(lbl111(Ar_0, Ar_1, Ar_2, 2, Ar_4, Ar_7 + 11, Ar_6, Ar_7)) [ 100 >= 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_7 - 10, Ar_2, 1, Ar_4, Ar_7, Ar_6, Ar_7)) [ Ar_0 >= 101 /\ 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(lbl161) = 390 Pol(stop) = 390 Pol(lbl221) = 390 Pol(lbl111) = 396 Pol(start) = 396 Pol(start0) = 396 Pol(koat_start) = 396 orients all transitions weakly and the transition lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 3 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] strictly and produces the following problem: 7: T: (Comp: 3, Cost: 1) lbl161(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)) [ 89 >= Ar_0 /\ Ar_3 = 1 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_1 = 91 ] (Comp: 3, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ 99 >= Ar_0 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ Ar_3 >= 2 /\ 121 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 110 >= Ar_5 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 110 >= Ar_5 /\ Ar_3 >= 2 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: 1, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 11*Ar_3 >= 22 /\ Ar_5 = 111 /\ Ar_7 + 11*Ar_3 = 122 /\ Ar_1 = Ar_2 /\ Ar_0 + 11*Ar_3 = 122 ] (Comp: 396, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 3 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 2 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: 1, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = 100 /\ Ar_1 = Ar_2 /\ Ar_0 = 100 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5 + 11, Ar_6, Ar_7)) [ 111 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + 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(lbl111(Ar_0, Ar_1, Ar_2, 2, Ar_4, Ar_7 + 11, Ar_6, Ar_7)) [ 100 >= 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_7 - 10, Ar_2, 1, Ar_4, Ar_7, Ar_6, Ar_7)) [ Ar_0 >= 101 /\ 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(lbl161) = 60 Pol(stop) = 60 Pol(lbl221) = 60 Pol(lbl111) = 66 Pol(start) = 66 Pol(start0) = 66 Pol(koat_start) = 66 orients all transitions weakly and the transition lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 2 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] strictly and produces the following problem: 8: T: (Comp: 3, Cost: 1) lbl161(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)) [ 89 >= Ar_0 /\ Ar_3 = 1 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_1 = 91 ] (Comp: 3, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ 99 >= Ar_0 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ Ar_3 >= 2 /\ 121 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 110 >= Ar_5 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: ?, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 110 >= Ar_5 /\ Ar_3 >= 2 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: 1, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 11*Ar_3 >= 22 /\ Ar_5 = 111 /\ Ar_7 + 11*Ar_3 = 122 /\ Ar_1 = Ar_2 /\ Ar_0 + 11*Ar_3 = 122 ] (Comp: 396, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 3 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: 66, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 2 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: 1, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = 100 /\ Ar_1 = Ar_2 /\ Ar_0 = 100 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5 + 11, Ar_6, Ar_7)) [ 111 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + 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(lbl111(Ar_0, Ar_1, Ar_2, 2, Ar_4, Ar_7 + 11, Ar_6, Ar_7)) [ 100 >= 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_7 - 10, Ar_2, 1, Ar_4, Ar_7, Ar_6, Ar_7)) [ Ar_0 >= 101 /\ 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(lbl161) = -V_6 + 102 Pol(stop) = -V_2 - V_6 + 191 Pol(lbl221) = 11*V_4 - V_6 + 92 Pol(lbl111) = -V_1 - V_6 + 212 Pol(start) = -V_1 - V_8 + 201 Pol(start0) = -2*V_1 + 201 Pol(koat_start) = -2*V_1 + 201 orients all transitions weakly and the transitions lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 110 >= Ar_5 /\ Ar_3 >= 2 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 110 >= Ar_5 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ Ar_3 >= 2 /\ 121 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5 + 11, Ar_6, Ar_7)) [ 111 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] strictly and produces the following problem: 9: T: (Comp: 3, Cost: 1) lbl161(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)) [ 89 >= Ar_0 /\ Ar_3 = 1 /\ Ar_7 = Ar_0 /\ Ar_5 = 101 /\ Ar_1 = 91 ] (Comp: 3, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ 99 >= Ar_0 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: 2*Ar_0 + 201, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ Ar_3 >= 2 /\ 121 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_5 = 111 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: 2*Ar_0 + 201, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 2 /\ 110 >= Ar_5 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: 2*Ar_0 + 201, Cost: 1) lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 110 >= Ar_5 /\ Ar_3 >= 2 /\ Ar_5 >= 102 /\ 111 >= Ar_5 /\ Ar_5 + 10 >= Ar_0 + 11*Ar_3 /\ 89 >= Ar_0 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 ] (Comp: 1, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 9, Ar_6, Ar_7)) [ Ar_3 >= 3 /\ 11*Ar_3 >= 22 /\ Ar_5 = 111 /\ Ar_7 + 11*Ar_3 = 122 /\ Ar_1 = Ar_2 /\ Ar_0 + 11*Ar_3 = 122 ] (Comp: 396, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 3 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: 66, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl221(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7)) [ 11*Ar_3 + Ar_0 >= 112 /\ Ar_3 >= 2 /\ 121 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + Ar_0 ] (Comp: 1, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl161(Ar_0, Ar_5 - 20, Ar_2, Ar_3 - 1, Ar_4, Ar_5 - 10, Ar_6, Ar_7)) [ Ar_5 = 111 /\ Ar_3 = 2 /\ Ar_7 = 100 /\ Ar_1 = Ar_2 /\ Ar_0 = 100 ] (Comp: 2*Ar_0 + 201, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5 + 11, Ar_6, Ar_7)) [ 111 >= 11*Ar_3 + Ar_0 /\ 122 >= 11*Ar_3 + Ar_0 /\ 11*Ar_3 >= 22 /\ Ar_7 = Ar_0 /\ Ar_1 = Ar_2 /\ Ar_5 + 11 = 11*Ar_3 + 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(lbl111(Ar_0, Ar_1, Ar_2, 2, Ar_4, Ar_7 + 11, Ar_6, Ar_7)) [ 100 >= 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_7 - 10, Ar_2, 1, Ar_4, Ar_7, Ar_6, Ar_7)) [ Ar_0 >= 101 /\ 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 8*Ar_0 + 1277 Time: 5.537 sec (SMT: 5.359 sec)