MAYBE 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)) [ 0 >= Ar_0 + 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\ Ar_2 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_3 + 1 /\ Ar_3 + 1 >= 0 /\ Ar_7 + 1 >= Ar_1 /\ Ar_4 + 1 = Ar_1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_0 >= Ar_3 + 1 /\ Ar_3 + 1 >= 0 /\ Ar_7 + 1 >= Ar_1 /\ Ar_4 + 1 = Ar_1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 0 /\ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) cut(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 >= 0 /\ Ar_3 + 1 = 0 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\ Ar_1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_3 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (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_0, Ar_5, Ar_5, Ar_7, Ar_7)) (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 1 produces the following problem: 2: T: (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)) [ 0 >= Ar_0 + 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\ Ar_2 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_3 + 1 /\ Ar_3 + 1 >= 0 /\ Ar_7 + 1 >= Ar_1 /\ Ar_4 + 1 = Ar_1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_0 >= Ar_3 + 1 /\ Ar_3 + 1 >= 0 /\ Ar_7 + 1 >= Ar_1 /\ Ar_4 + 1 = Ar_1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 0 /\ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) cut(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 >= 0 /\ Ar_3 + 1 = 0 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\ Ar_1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_3 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (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_0, Ar_5, Ar_5, Ar_7, Ar_7)) (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(start) = 1 Pol(stop) = 0 Pol(lbl42) = 1 Pol(cut) = 1 Pol(lbl72) = 1 Pol(start0) = 1 Pol(koat_start) = 1 orients all transitions weakly and the transition cut(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 >= 0 /\ Ar_3 + 1 = 0 /\ Ar_6 = Ar_7 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\ Ar_2 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_3 + 1 /\ Ar_3 + 1 >= 0 /\ Ar_7 + 1 >= Ar_1 /\ Ar_4 + 1 = Ar_1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_0 >= Ar_3 + 1 /\ Ar_3 + 1 >= 0 /\ Ar_7 + 1 >= Ar_1 /\ Ar_4 + 1 = Ar_1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 0 /\ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) cut(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 >= 0 /\ Ar_3 + 1 = 0 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\ Ar_1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_3 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (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_0, Ar_5, Ar_5, Ar_7, Ar_7)) (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(start) = 3*V_4 + 1 Pol(stop) = 3*V_4 Pol(lbl42) = 3*V_4 + 1 Pol(cut) = 3*V_4 + 2 Pol(lbl72) = 3*V_4 + 3 Pol(start0) = 3*V_1 + 1 Pol(koat_start) = 3*V_1 + 1 orients all transitions weakly and the transitions lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_3 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\ Ar_1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\ Ar_2 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_3 + 1 /\ Ar_3 + 1 >= 0 /\ Ar_7 + 1 >= Ar_1 /\ Ar_4 + 1 = Ar_1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_0 >= Ar_3 + 1 /\ Ar_3 + 1 >= 0 /\ Ar_7 + 1 >= Ar_1 /\ Ar_4 + 1 = Ar_1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 0 /\ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: 3*Ar_0 + 1, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: 3*Ar_0 + 1, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) cut(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 >= 0 /\ Ar_3 + 1 = 0 /\ Ar_6 = Ar_7 ] (Comp: 3*Ar_0 + 1, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\ Ar_1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (Comp: 3*Ar_0 + 1, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (Comp: 3*Ar_0 + 1, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_3 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (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_0, Ar_5, Ar_5, Ar_7, Ar_7)) (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(lbl72) = 1 Pol(cut) = 0 Pol(lbl42) = 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_0, Ar_5, Ar_5, Ar_7, Ar_7))", 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_0, Ar_5, Ar_5, Ar_7, Ar_7))", 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_0, Ar_5, Ar_5, Ar_7, Ar_7))", 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_0, Ar_5, Ar_5, Ar_7, Ar_7))", 0-3) = 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_0, Ar_5, Ar_5, Ar_7, Ar_7))", 0-4) = Ar_5 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_0, Ar_5, Ar_5, Ar_7, Ar_7))", 0-5) = Ar_5 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_0, Ar_5, Ar_5, Ar_7, Ar_7))", 0-6) = 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_0, Ar_5, Ar_5, Ar_7, Ar_7))", 0-7) = Ar_7 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-0) = Ar_0 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-1) = ? S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-2) = Ar_2 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-3) = Ar_0 + 5 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-4) = ? S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-5) = Ar_5 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-6) = Ar_7 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-7) = Ar_7 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-0) = Ar_0 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-1) = ? S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-2) = Ar_2 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-3) = Ar_0 + 5 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-4) = ? S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-5) = Ar_5 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-6) = Ar_7 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-7) = Ar_7 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-0) = Ar_0 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-1) = ? S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-2) = Ar_2 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-3) = Ar_0 + 5 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-4) = ? S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-5) = Ar_5 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-6) = Ar_7 S("cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_3 + 1 >= 0 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_6 = Ar_7 ]", 0-7) = Ar_7 S("cut(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 >= 0 /\\ Ar_3 + 1 = 0 /\\ Ar_6 = Ar_7 ]", 0-0) = Ar_0 S("cut(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 >= 0 /\\ Ar_3 + 1 = 0 /\\ Ar_6 = Ar_7 ]", 0-1) = ? S("cut(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 >= 0 /\\ Ar_3 + 1 = 0 /\\ Ar_6 = Ar_7 ]", 0-2) = Ar_2 S("cut(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 >= 0 /\\ Ar_3 + 1 = 0 /\\ Ar_6 = Ar_7 ]", 0-3) = 1 S("cut(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 >= 0 /\\ Ar_3 + 1 = 0 /\\ Ar_6 = Ar_7 ]", 0-4) = ? S("cut(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 >= 0 /\\ Ar_3 + 1 = 0 /\\ Ar_6 = Ar_7 ]", 0-5) = Ar_5 S("cut(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 >= 0 /\\ Ar_3 + 1 = 0 /\\ Ar_6 = Ar_7 ]", 0-6) = Ar_7 S("cut(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 >= 0 /\\ Ar_3 + 1 = 0 /\\ Ar_6 = Ar_7 ]", 0-7) = Ar_7 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-0) = Ar_0 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-1) = ? S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-2) = Ar_2 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-3) = Ar_0 + 5 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-4) = ? S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-5) = Ar_5 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-6) = Ar_7 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-7) = Ar_7 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-0) = Ar_0 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-1) = ? S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-2) = Ar_2 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-3) = Ar_0 + 5 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-4) = ? S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-5) = Ar_5 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-6) = Ar_7 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-7) = Ar_7 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 0 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-0) = Ar_0 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 0 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-1) = ? S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 0 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-2) = Ar_2 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 0 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-3) = Ar_0 + 5 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 0 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-4) = ? S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 0 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-5) = Ar_5 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 0 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-6) = Ar_7 S("lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 0 /\\ Ar_1 + 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_0 >= Ar_3 /\\ Ar_6 = Ar_7 ]", 0-7) = Ar_7 S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-0) = Ar_0 S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-1) = ? S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-2) = Ar_2 S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-3) = Ar_0 + 5 S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-4) = ? S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-5) = Ar_5 S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-6) = Ar_7 S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\\ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-7) = Ar_7 S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-0) = Ar_0 S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-1) = ? S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-2) = Ar_2 S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-3) = Ar_0 + 5 S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-4) = ? S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-5) = Ar_5 S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-6) = Ar_7 S("lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_3 + 1 /\\ Ar_3 + 1 >= 0 /\\ Ar_7 + 1 >= Ar_1 /\\ Ar_4 + 1 = Ar_1 /\\ Ar_6 = Ar_7 ]", 0-7) = Ar_7 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-0) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-1) = Ar_2 + 1 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-2) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-3) = Ar_0 + 1 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-4) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-5) = Ar_5 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-6) = Ar_7 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-7) = Ar_7 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-0) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-1) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-2) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-3) = Ar_0 + 1 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-4) = Ar_5 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-5) = Ar_5 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-6) = Ar_7 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-7) = Ar_7 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-0) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-1) = Ar_2 + 1 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-2) = Ar_2 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-3) = Ar_0 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-4) = Ar_5 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-5) = Ar_5 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-6) = Ar_7 S("start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-7) = Ar_7 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)) [ 0 >= Ar_0 + 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 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)) [ 0 >= Ar_0 + 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 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)) [ 0 >= Ar_0 + 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 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)) [ 0 >= Ar_0 + 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-3) = 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)) [ 0 >= Ar_0 + 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-4) = Ar_5 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)) [ 0 >= Ar_0 + 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-5) = Ar_5 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)) [ 0 >= Ar_0 + 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-6) = Ar_7 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)) [ 0 >= Ar_0 + 1 /\\ Ar_1 = Ar_2 /\\ Ar_3 = Ar_0 /\\ Ar_4 = Ar_5 /\\ Ar_6 = Ar_7 ]", 0-7) = Ar_7 orients the transitions lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_0 >= Ar_3 + 1 /\ Ar_3 + 1 >= 0 /\ Ar_7 + 1 >= Ar_1 /\ Ar_4 + 1 = Ar_1 /\ Ar_6 = Ar_7 ] lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_3 + 1 /\ Ar_3 + 1 >= 0 /\ Ar_7 + 1 >= Ar_1 /\ Ar_4 + 1 = Ar_1 /\ Ar_6 = Ar_7 ] lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 0 /\ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] weakly and the transition lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_3 + 1 /\ Ar_3 + 1 >= 0 /\ Ar_7 + 1 >= Ar_1 /\ Ar_4 + 1 = Ar_1 /\ Ar_6 = Ar_7 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\ Ar_2 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 6*Ar_0 + 3, Cost: 1) lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_3 + 1 /\ Ar_3 + 1 >= 0 /\ Ar_7 + 1 >= Ar_1 /\ Ar_4 + 1 = Ar_1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_0 >= Ar_3 + 1 /\ Ar_3 + 1 >= 0 /\ Ar_7 + 1 >= Ar_1 /\ Ar_4 + 1 = Ar_1 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 0 /\ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: 3*Ar_0 + 1, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: 3*Ar_0 + 1, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_1 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) cut(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 >= 0 /\ Ar_3 + 1 = 0 /\ Ar_6 = Ar_7 ] (Comp: 3*Ar_0 + 1, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\ Ar_1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (Comp: 3*Ar_0 + 1, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (Comp: 3*Ar_0 + 1, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_7 >= Ar_1 /\ Ar_3 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (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_0, Ar_5, Ar_5, Ar_7, Ar_7)) (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 Applied AI with 'oct' on problem 5 to obtain the following invariants: For symbol cut: X_7 - X_8 >= 0 /\ -X_7 + X_8 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 + 1 >= 0 /\ X_1 + X_4 + 1 >= 0 /\ X_1 >= 0 For symbol lbl42: X_7 - X_8 >= 0 /\ -X_7 + X_8 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 >= 0 /\ X_2 + X_4 + 1 >= 0 /\ X_1 + X_4 >= 0 /\ X_2 + 1 >= 0 /\ X_1 + X_2 + 1 >= 0 /\ X_1 >= 0 For symbol lbl72: X_7 - X_8 >= 0 /\ -X_7 + X_8 >= 0 /\ -X_5 + X_8 >= 0 /\ -X_2 + X_8 + 1 >= 0 /\ -X_5 + X_7 >= 0 /\ -X_2 + X_7 + 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ -X_2 + X_5 + 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 + 1 >= 0 /\ X_1 + X_4 + 1 >= 0 /\ X_1 >= 0 For symbol start: X_7 - X_8 >= 0 /\ -X_7 + X_8 >= 0 /\ X_5 - X_6 >= 0 /\ -X_5 + X_6 >= 0 /\ X_1 - X_4 >= 0 /\ -X_1 + X_4 >= 0 /\ X_2 - X_3 >= 0 /\ -X_2 + X_3 >= 0 This yielded the following problem: 6: T: (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 ] (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_0, Ar_5, Ar_5, Ar_7, Ar_7)) (Comp: 3*Ar_0 + 1, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_6 - Ar_7 >= 0 /\ -Ar_6 + Ar_7 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_7 >= Ar_1 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (Comp: 3*Ar_0 + 1, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - Ar_7 >= 0 /\ -Ar_6 + Ar_7 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_3 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (Comp: 3*Ar_0 + 1, Cost: 1) cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - Ar_7 >= 0 /\ -Ar_6 + Ar_7 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) cut(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_6 - Ar_7 >= 0 /\ -Ar_6 + Ar_7 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_3 + 1 = 0 /\ Ar_6 = Ar_7 ] (Comp: 3*Ar_0 + 1, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_6 - Ar_7 >= 0 /\ -Ar_6 + Ar_7 >= 0 /\ Ar_0 - Ar_3 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 + 1 >= 0 /\ Ar_0 + Ar_1 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_7 >= Ar_1 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: 3*Ar_0 + 1, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - Ar_7 >= 0 /\ -Ar_6 + Ar_7 >= 0 /\ Ar_0 - Ar_3 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 + 1 >= 0 /\ Ar_0 + Ar_1 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl42(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - Ar_7 >= 0 /\ -Ar_6 + Ar_7 >= 0 /\ Ar_0 - Ar_3 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 + 1 >= 0 /\ Ar_0 + Ar_1 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 0 /\ Ar_0 >= Ar_3 /\ Ar_6 = Ar_7 ] (Comp: ?, Cost: 1) lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_6 - Ar_7 >= 0 /\ -Ar_6 + Ar_7 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ -Ar_1 + Ar_7 + 1 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ -Ar_1 + Ar_6 + 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ -Ar_1 + Ar_4 + 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_7 >= Ar_1 /\ Ar_0 >= Ar_3 + 1 /\ Ar_7 + 1 >= Ar_1 /\ Ar_4 + 1 = Ar_1 /\ Ar_6 = Ar_7 ] (Comp: 6*Ar_0 + 3, Cost: 1) lbl72(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - Ar_7 >= 0 /\ -Ar_6 + Ar_7 >= 0 /\ -Ar_4 + Ar_7 >= 0 /\ -Ar_1 + Ar_7 + 1 >= 0 /\ -Ar_4 + Ar_6 >= 0 /\ -Ar_1 + Ar_6 + 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ -Ar_1 + Ar_4 + 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 + 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= Ar_3 + 1 /\ Ar_7 + 1 >= Ar_1 /\ Ar_4 + 1 = Ar_1 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl72(Ar_0, Ar_1 + 1, Ar_2, Ar_3 - 1, Ar_1, Ar_5, Ar_6, Ar_7)) [ Ar_6 - Ar_7 >= 0 /\ -Ar_6 + Ar_7 >= 0 /\ Ar_4 - Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_0 - Ar_3 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_7 >= Ar_2 /\ Ar_0 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(cut(Ar_0, Ar_1, Ar_2, Ar_3 - 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - Ar_7 >= 0 /\ -Ar_6 + Ar_7 >= 0 /\ Ar_4 - Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_0 - Ar_3 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(lbl42(Ar_0, Ar_1 - 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - Ar_7 >= 0 /\ -Ar_6 + Ar_7 >= 0 /\ Ar_4 - Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_0 - Ar_3 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= 0 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] (Comp: 1, Cost: 1) start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - Ar_7 >= 0 /\ -Ar_6 + Ar_7 >= 0 /\ Ar_4 - Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_0 - Ar_3 >= 0 /\ -Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ 0 >= Ar_0 + 1 /\ Ar_1 = Ar_2 /\ Ar_3 = Ar_0 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_7 ] start location: koat_start leaf cost: 0 Complexity upper bound ? Time: 8.403 sec (SMT: 7.991 sec)