WORST_CASE(?, O(n^3)) 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)) [ 1 >= 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(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = Ar_6 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) lbl16(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 >= 2 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ 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(lbl111(Ar_0, Ar_1, Ar_2, Ar_3 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\ 0 >= Ar_3 + 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\ Ar_3 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 /\ Ar_0 >= Ar_1 /\ Ar_3 = 0 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ Ar_0 >= Ar_1 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (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_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_0 + 1 /\ Ar_0 >= 1 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (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_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ 0 >= Ar_0 + 1 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (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_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_5 >= 0 /\ 0 >= Ar_5 + 2 /\ 0 >= Ar_1 /\ Ar_5 >= Ar_1 + 1 /\ Ar_3 = 0 /\ Ar_7 = 0 /\ Ar_0 = 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 Testing for reachability in the complexity graph removes the following transitions from problem 1: lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\ 0 >= Ar_3 + 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_0 + 1 /\ Ar_0 >= 1 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ 0 >= Ar_0 + 1 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_5 >= 0 /\ 0 >= Ar_5 + 2 /\ 0 >= Ar_1 /\ Ar_5 >= Ar_1 + 1 /\ Ar_3 = 0 /\ Ar_7 = 0 /\ Ar_0 = 0 ] We thus obtain the following problem: 2: T: (Comp: ?, Cost: 1) lbl16(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 >= 2 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ Ar_0 >= Ar_1 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ 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(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 /\ Ar_0 >= Ar_1 /\ Ar_3 = 0 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\ Ar_3 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] (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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ 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_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ 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)) [ 1 >= Ar_0 /\ 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) lbl16(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 >= 2 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ Ar_0 >= Ar_1 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ 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(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 /\ Ar_0 >= Ar_1 /\ Ar_3 = 0 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\ Ar_3 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] (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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ 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(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ 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)) [ 1 >= Ar_0 /\ 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(lbl16) = 0 Pol(stop) = -1 Pol(lbl82) = 1 Pol(lbl111) = 1 Pol(start) = 1 Pol(start0) = 1 Pol(koat_start) = 1 orients all transitions weakly and the transition lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ Ar_0 >= Ar_1 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] strictly and produces the following problem: 4: T: (Comp: ?, Cost: 1) lbl16(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 >= 2 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: 1, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ Ar_0 >= Ar_1 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ 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(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 /\ Ar_0 >= Ar_1 /\ Ar_3 = 0 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\ Ar_3 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] (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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ 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(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ 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)) [ 1 >= Ar_0 /\ 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: 1, Cost: 1) lbl16(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 >= 2 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: 1, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ Ar_0 >= Ar_1 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ 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(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 /\ Ar_0 >= Ar_1 /\ Ar_3 = 0 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\ Ar_3 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] (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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ 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(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ 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)) [ 1 >= Ar_0 /\ 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(lbl82) = 2*V_6 Pol(lbl111) = 2*V_6 - 1 and size complexities S("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 ]", 0-0) = Ar_0 S("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 ]", 0-1) = Ar_1 S("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 ]", 0-2) = Ar_2 S("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 ]", 0-3) = Ar_3 S("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 ]", 0-4) = Ar_4 S("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 ]", 0-5) = Ar_5 S("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 ]", 0-6) = Ar_6 S("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 ]", 0-7) = Ar_7 S("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))", 0-0) = Ar_0 S("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))", 0-1) = Ar_2 S("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))", 0-2) = Ar_2 S("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))", 0-3) = Ar_4 S("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))", 0-4) = Ar_4 S("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))", 0-5) = Ar_6 S("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))", 0-6) = Ar_6 S("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))", 0-7) = Ar_0 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-1) = Ar_2 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_4 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_6 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-1) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-3) = 1 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-1) = ? S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_0 + 1 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-1) = ? S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-1) = ? S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-1) = ? S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_4 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-5) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-6) = Ar_6 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-7) = Ar_0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-1) = ? S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_4 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-5) = 0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-6) = Ar_6 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-7) = Ar_0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-1) = ? S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_4 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-5) = 0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-6) = Ar_6 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-7) = Ar_0 orients the transitions lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 /\ Ar_0 >= Ar_1 /\ Ar_3 = 0 /\ Ar_7 = Ar_0 ] lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\ Ar_3 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] 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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] weakly and the transition lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 /\ Ar_0 >= Ar_1 /\ Ar_3 = 0 /\ Ar_7 = Ar_0 ] strictly and produces the following problem: 6: T: (Comp: 1, Cost: 1) lbl16(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 >= 2 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: 1, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ Ar_0 >= Ar_1 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: ?, Cost: 1) lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: 2*Ar_0 + 1, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 /\ Ar_0 >= Ar_1 /\ Ar_3 = 0 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\ Ar_3 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] (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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ 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(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ 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)) [ 1 >= Ar_0 /\ 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(lbl82) = 2*V_6 + 1 Pol(lbl111) = 2*V_6 and size complexities S("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 ]", 0-0) = Ar_0 S("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 ]", 0-1) = Ar_1 S("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 ]", 0-2) = Ar_2 S("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 ]", 0-3) = Ar_3 S("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 ]", 0-4) = Ar_4 S("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 ]", 0-5) = Ar_5 S("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 ]", 0-6) = Ar_6 S("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 ]", 0-7) = Ar_7 S("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))", 0-0) = Ar_0 S("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))", 0-1) = Ar_2 S("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))", 0-2) = Ar_2 S("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))", 0-3) = Ar_4 S("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))", 0-4) = Ar_4 S("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))", 0-5) = Ar_6 S("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))", 0-6) = Ar_6 S("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))", 0-7) = Ar_0 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-1) = Ar_2 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_4 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_6 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-1) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-3) = 1 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_0 + 1 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_4 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-5) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-6) = Ar_6 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-7) = Ar_0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_4 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-5) = 0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-6) = Ar_6 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-7) = Ar_0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_4 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-5) = 0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-6) = Ar_6 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-7) = Ar_0 orients the transitions lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\ Ar_3 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] 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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] weakly and the transition lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] strictly and produces the following problem: 7: T: (Comp: 1, Cost: 1) lbl16(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 >= 2 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: 1, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ Ar_0 >= Ar_1 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: 4*Ar_0^2 + 6*Ar_0 + 1, Cost: 1) lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: 2*Ar_0 + 1, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 /\ Ar_0 >= Ar_1 /\ Ar_3 = 0 /\ Ar_7 = Ar_0 ] (Comp: ?, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\ Ar_3 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] (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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ 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(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ 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)) [ 1 >= Ar_0 /\ 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(lbl111) = 1 Pol(lbl82) = 0 and size complexities S("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 ]", 0-0) = Ar_0 S("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 ]", 0-1) = Ar_1 S("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 ]", 0-2) = Ar_2 S("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 ]", 0-3) = Ar_3 S("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 ]", 0-4) = Ar_4 S("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 ]", 0-5) = Ar_5 S("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 ]", 0-6) = Ar_6 S("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 ]", 0-7) = Ar_7 S("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))", 0-0) = Ar_0 S("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))", 0-1) = Ar_2 S("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))", 0-2) = Ar_2 S("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))", 0-3) = Ar_4 S("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))", 0-4) = Ar_4 S("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))", 0-5) = Ar_6 S("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))", 0-6) = Ar_6 S("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))", 0-7) = Ar_0 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-1) = Ar_2 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_4 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_6 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-1) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-3) = 1 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_0 + 1 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_4 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-5) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-6) = Ar_6 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-7) = Ar_0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_4 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-5) = 0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-6) = Ar_6 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-7) = Ar_0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_4 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-5) = 0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-6) = Ar_6 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-7) = Ar_0 orients the transitions lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\ Ar_3 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] 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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] weakly and the transition lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\ Ar_3 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] strictly and produces the following problem: 8: T: (Comp: 1, Cost: 1) lbl16(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 >= 2 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: 1, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ Ar_0 >= Ar_1 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: 4*Ar_0^2 + 6*Ar_0 + 1, Cost: 1) lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: 2*Ar_0 + 1, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 /\ Ar_0 >= Ar_1 /\ Ar_3 = 0 /\ Ar_7 = Ar_0 ] (Comp: 4*Ar_0^2 + 6*Ar_0 + 2, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\ Ar_3 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] (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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ 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(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ 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)) [ 1 >= Ar_0 /\ 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(lbl111) = V_4 + 1 and size complexities S("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 ]", 0-0) = Ar_0 S("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 ]", 0-1) = Ar_1 S("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 ]", 0-2) = Ar_2 S("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 ]", 0-3) = Ar_3 S("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 ]", 0-4) = Ar_4 S("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 ]", 0-5) = Ar_5 S("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 ]", 0-6) = Ar_6 S("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 ]", 0-7) = Ar_7 S("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))", 0-0) = Ar_0 S("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))", 0-1) = Ar_2 S("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))", 0-2) = Ar_2 S("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))", 0-3) = Ar_4 S("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))", 0-4) = Ar_4 S("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))", 0-5) = Ar_6 S("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))", 0-6) = Ar_6 S("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))", 0-7) = Ar_0 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-1) = Ar_2 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_4 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_6 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("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)) [ 1 >= Ar_0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-1) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-3) = 1 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_4 /\\ Ar_5 = Ar_6 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_0 + 1 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\\ Ar_3 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 + Ar_3 /\\ Ar_0 >= Ar_1 /\\ Ar_5 >= 1 /\\ Ar_3 >= 0 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-0) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-2) = Ar_2 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-3) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-4) = Ar_4 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-5) = Ar_0 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-6) = Ar_6 S("lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 + 1 /\\ Ar_0 >= Ar_5 /\\ Ar_0 >= Ar_1 /\\ Ar_3 = 0 /\\ Ar_7 = Ar_0 ]", 0-7) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_4 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-5) = Ar_0 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-6) = Ar_6 S("lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\\ Ar_0 >= Ar_5 /\\ Ar_5 >= 0 /\\ Ar_0 >= Ar_5 + 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 + Ar_5 >= Ar_1 + 1 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-7) = Ar_0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_4 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-5) = 0 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-6) = Ar_6 S("lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\\ Ar_0 >= Ar_1 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-7) = Ar_0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-0) = Ar_0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-1) = 2*Ar_0 + 2*Ar_0^2 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-2) = Ar_2 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-3) = Ar_0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-4) = Ar_4 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-5) = 0 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-6) = Ar_6 S("lbl16(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 >= 2 /\\ Ar_0 >= Ar_1 + 1 /\\ Ar_5 = 0 /\\ Ar_7 = Ar_0 /\\ Ar_3 = Ar_0 ]", 0-7) = Ar_0 orients the transitions 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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] weakly and the transition 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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] strictly and produces the following problem: 9: T: (Comp: 1, Cost: 1) lbl16(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 >= 2 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: 1, Cost: 1) lbl82(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ Ar_0 >= Ar_1 /\ Ar_0 >= Ar_1 + 1 /\ Ar_5 = 0 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: 4*Ar_0^2 + 6*Ar_0 + 1, Cost: 1) lbl82(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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 /\ Ar_5 >= 0 /\ Ar_0 >= Ar_5 + 2 /\ Ar_0 >= Ar_1 /\ Ar_0 + Ar_5 >= Ar_1 + 1 /\ Ar_7 = Ar_0 /\ Ar_3 = Ar_0 ] (Comp: 2*Ar_0 + 1, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1 - Ar_5, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 /\ Ar_0 >= Ar_1 /\ Ar_3 = 0 /\ Ar_7 = Ar_0 ] (Comp: 4*Ar_0^2 + 6*Ar_0 + 2, Cost: 1) lbl111(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl82(Ar_0, Ar_1, Ar_2, Ar_7, Ar_4, Ar_5 - 1, Ar_6, Ar_7)) [ Ar_5 >= Ar_3 + 1 /\ Ar_3 >= 1 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ Ar_7 = Ar_0 ] (Comp: 4*Ar_0^3 + 10*Ar_0^2 + 7*Ar_0 + 3, 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 - Ar_5, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_5 /\ Ar_0 >= Ar_5 + 1 /\ Ar_0 >= Ar_5 + Ar_3 /\ Ar_0 >= Ar_1 /\ Ar_5 >= 1 /\ Ar_3 >= 0 /\ 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(lbl111(Ar_0, Ar_7, Ar_2, 1, Ar_4, Ar_7 - 1, Ar_6, Ar_7)) [ Ar_0 >= 2 /\ 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)) [ 1 >= Ar_0 /\ 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 18*Ar_0^2 + 21*Ar_0 + 4*Ar_0^3 + 12 Time: 3.237 sec (SMT: 3.104 sec)