WORST_CASE(?, O(n^2)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 ] (Comp: ?, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 ] (Comp: ?, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 ] (Comp: ?, Cost: 1) lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\ Ar_0 >= 1 /\ Ar_0 >= Ar_4 /\ Ar_1 = Ar_0 + 1 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\ Ar_4 + Ar_1 >= 1 /\ Ar_0 + 1 >= Ar_1 /\ Ar_1 >= 2 /\ Ar_1 >= Ar_4 + 1 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\ Ar_4 + Ar_1 >= 1 /\ Ar_0 + 1 >= Ar_1 /\ Ar_1 >= 2 /\ Ar_1 >= Ar_4 + 1 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 ] (Comp: ?, Cost: 1) lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\ Ar_0 >= 1 /\ Ar_0 >= Ar_4 /\ Ar_1 = Ar_0 + 1 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\ Ar_4 + Ar_1 >= 1 /\ Ar_0 + 1 >= Ar_1 /\ Ar_1 >= 2 /\ Ar_1 >= Ar_4 + 1 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\ Ar_4 + Ar_1 >= 1 /\ Ar_0 + 1 >= Ar_1 /\ Ar_1 >= 2 /\ Ar_1 >= Ar_4 + 1 /\ Ar_3 = Ar_0 ] (Comp: 1, Cost: 1) start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(start) = 1 Pol(stop) = 0 Pol(lbl101) = 1 Pol(start0) = 1 Pol(koat_start) = 1 orients all transitions weakly and the transition lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\ Ar_0 >= 1 /\ Ar_0 >= Ar_4 /\ Ar_1 = Ar_0 + 1 /\ Ar_3 = Ar_0 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 ] (Comp: 1, Cost: 1) lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\ Ar_0 >= 1 /\ Ar_0 >= Ar_4 /\ Ar_1 = Ar_0 + 1 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\ Ar_4 + Ar_1 >= 1 /\ Ar_0 + 1 >= Ar_1 /\ Ar_1 >= 2 /\ Ar_1 >= Ar_4 + 1 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\ Ar_4 + Ar_1 >= 1 /\ Ar_0 + 1 >= Ar_1 /\ Ar_1 >= 2 /\ Ar_1 >= Ar_4 + 1 /\ Ar_3 = Ar_0 ] (Comp: 1, Cost: 1) start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(lbl101) = 2*V_1 - V_2 - V_4 + 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-4) = Ar_4 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-5) = Ar_5 S("start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5))", 0-0) = Ar_0 S("start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5))", 0-1) = Ar_2 S("start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5))", 0-2) = Ar_2 S("start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5))", 0-3) = Ar_0 S("start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5))", 0-4) = Ar_5 S("start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5))", 0-5) = Ar_5 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-1) = ? S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-5) = Ar_5 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-1) = ? S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-5) = Ar_5 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\\ Ar_0 >= 1 /\\ Ar_0 >= Ar_4 /\\ Ar_1 = Ar_0 + 1 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\\ Ar_0 >= 1 /\\ Ar_0 >= Ar_4 /\\ Ar_1 = Ar_0 + 1 /\\ Ar_3 = Ar_0 ]", 0-1) = ? S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\\ Ar_0 >= 1 /\\ Ar_0 >= Ar_4 /\\ Ar_1 = Ar_0 + 1 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\\ Ar_0 >= 1 /\\ Ar_0 >= Ar_4 /\\ Ar_1 = Ar_0 + 1 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\\ Ar_0 >= 1 /\\ Ar_0 >= Ar_4 /\\ Ar_1 = Ar_0 + 1 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_0 + 2 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\\ Ar_0 >= 1 /\\ Ar_0 >= Ar_4 /\\ Ar_1 = Ar_0 + 1 /\\ Ar_3 = Ar_0 ]", 0-5) = Ar_5 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-0) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-1) = 2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-2) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-3) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-4) = 1 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-5) = Ar_5 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-0) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-1) = 2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-2) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-3) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-4) = 1 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-5) = Ar_5 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-0) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-1) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-2) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-3) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-4) = Ar_5 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-5) = Ar_5 orients the transitions lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\ Ar_4 + Ar_1 >= 1 /\ Ar_0 + 1 >= Ar_1 /\ Ar_1 >= 2 /\ Ar_1 >= Ar_4 + 1 /\ Ar_3 = Ar_0 ] lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\ Ar_4 + Ar_1 >= 1 /\ Ar_0 + 1 >= Ar_1 /\ Ar_1 >= 2 /\ Ar_1 >= Ar_4 + 1 /\ Ar_3 = Ar_0 ] weakly and the transition lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\ Ar_4 + Ar_1 >= 1 /\ Ar_0 + 1 >= Ar_1 /\ Ar_1 >= 2 /\ Ar_1 >= Ar_4 + 1 /\ Ar_3 = Ar_0 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 ] (Comp: 1, Cost: 1) lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\ Ar_0 >= 1 /\ Ar_0 >= Ar_4 /\ Ar_1 = Ar_0 + 1 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\ Ar_4 + Ar_1 >= 1 /\ Ar_0 + 1 >= Ar_1 /\ Ar_1 >= 2 /\ Ar_1 >= Ar_4 + 1 /\ Ar_3 = Ar_0 ] (Comp: 6*Ar_0 + 6, Cost: 1) lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\ Ar_4 + Ar_1 >= 1 /\ Ar_0 + 1 >= Ar_1 /\ Ar_1 >= 2 /\ Ar_1 >= Ar_4 + 1 /\ Ar_3 = Ar_0 ] (Comp: 1, Cost: 1) start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(lbl101) = V_1 - V_5 + 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-4) = Ar_4 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ]", 0-5) = Ar_5 S("start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5))", 0-0) = Ar_0 S("start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5))", 0-1) = Ar_2 S("start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5))", 0-2) = Ar_2 S("start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5))", 0-3) = Ar_0 S("start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5))", 0-4) = Ar_5 S("start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5))", 0-5) = Ar_5 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-1) = ? S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-5) = Ar_5 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-1) = ? S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\\ Ar_4 + Ar_1 >= 1 /\\ Ar_0 + 1 >= Ar_1 /\\ Ar_1 >= 2 /\\ Ar_1 >= Ar_4 + 1 /\\ Ar_3 = Ar_0 ]", 0-5) = Ar_5 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\\ Ar_0 >= 1 /\\ Ar_0 >= Ar_4 /\\ Ar_1 = Ar_0 + 1 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\\ Ar_0 >= 1 /\\ Ar_0 >= Ar_4 /\\ Ar_1 = Ar_0 + 1 /\\ Ar_3 = Ar_0 ]", 0-1) = ? S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\\ Ar_0 >= 1 /\\ Ar_0 >= Ar_4 /\\ Ar_1 = Ar_0 + 1 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\\ Ar_0 >= 1 /\\ Ar_0 >= Ar_4 /\\ Ar_1 = Ar_0 + 1 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\\ Ar_0 >= 1 /\\ Ar_0 >= Ar_4 /\\ Ar_1 = Ar_0 + 1 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_0 + 2 S("lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\\ Ar_0 >= 1 /\\ Ar_0 >= Ar_4 /\\ Ar_1 = Ar_0 + 1 /\\ Ar_3 = Ar_0 ]", 0-5) = Ar_5 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-0) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-1) = 2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-2) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-3) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-4) = 1 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-5) = Ar_5 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-0) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-1) = 2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-2) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-3) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-4) = 1 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-5) = Ar_5 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-0) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-1) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-2) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-3) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-4) = Ar_5 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 ]", 0-5) = Ar_5 orients the transitions lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\ Ar_4 + Ar_1 >= 1 /\ Ar_0 + 1 >= Ar_1 /\ Ar_1 >= 2 /\ Ar_1 >= Ar_4 + 1 /\ Ar_3 = Ar_0 ] weakly and the transition lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\ Ar_4 + Ar_1 >= 1 /\ Ar_0 + 1 >= Ar_1 /\ Ar_1 >= 2 /\ Ar_1 >= Ar_4 + 1 /\ Ar_3 = Ar_0 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, 1, Ar_5)) [ Ar_0 >= 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, 2, Ar_2, Ar_3, -1, Ar_5)) [ Ar_0 >= 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 ] (Comp: 1, Cost: 1) lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 + Ar_0 >= 0 /\ Ar_0 >= 1 /\ Ar_0 >= Ar_4 /\ Ar_1 = Ar_0 + 1 /\ Ar_3 = Ar_0 ] (Comp: 12*Ar_0^2 + 20*Ar_0 + 10, Cost: 1) lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 + 1, Ar_5)) [ Ar_0 >= Ar_1 /\ Ar_4 + Ar_1 >= 1 /\ Ar_0 + 1 >= Ar_1 /\ Ar_1 >= 2 /\ Ar_1 >= Ar_4 + 1 /\ Ar_3 = Ar_0 ] (Comp: 6*Ar_0 + 6, Cost: 1) lbl101(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(lbl101(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4 - 1, Ar_5)) [ Ar_0 >= Ar_1 /\ Ar_4 + Ar_1 >= 1 /\ Ar_0 + 1 >= Ar_1 /\ Ar_1 >= 2 /\ Ar_1 >= Ar_4 + 1 /\ Ar_3 = Ar_0 ] (Comp: 1, Cost: 1) start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start(Ar_0, Ar_2, Ar_2, Ar_0, Ar_5, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 12*Ar_0^2 + 26*Ar_0 + 21 Time: 1.452 sec (SMT: 1.398 sec)