MAYBE Initial complexity problem: 1: T: (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f9(0, 1, 1, 0, 0, Fresh_6, Ar_6, Ar_7, Ar_8)) [ Fresh_6 >= 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_3, 0, Ar_0 - 2, 1, Ar_0 - 2)) [ Ar_0 >= 3 /\ Ar_2 >= 1 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_3, 0, Ar_0, 0, Ar_0)) [ 2 >= Ar_0 /\ Ar_2 >= 1 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f20(0, Ar_1 + 1, Ar_1 + 1, Ar_3, Ar_3, Fresh_5, Ar_6, Ar_7, Ar_8)) [ Fresh_5 >= 1 /\ Ar_0 >= 3 /\ 0 >= Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f20(Ar_0 + 1, Ar_1 + 1, Ar_1 + 1, Ar_3, Ar_3, Fresh_4, Ar_6, Ar_7, Ar_8)) [ Fresh_4 >= 1 /\ 2 >= Ar_0 /\ 0 >= Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3, Ar_5 - 1, Ar_6, Fresh_2, Fresh_3)) [ 0 >= Ar_5 + 1 /\ Ar_3 = Ar_4 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3, Ar_5 - 1, Ar_6, Fresh_0, Fresh_1)) [ Ar_5 >= 1 /\ Ar_3 = Ar_4 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 0, Ar_4, Ar_5, Ar_6, Ar_7, 0)) [ Ar_8 = 0 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8)) [ 0 >= Ar_8 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8)) [ Ar_8 >= 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 0, Ar_5, Ar_6, 0, Ar_8)) [ Ar_7 = 0 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7, Ar_8)) [ 0 >= Ar_7 + 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7, Ar_8)) [ Ar_7 >= 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8)) [ Ar_3 >= Ar_4 + 1 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Slicing away variables that do not contribute to conditions from problem 1 leaves variables [Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8]. We thus obtain the following problem: 2: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_3 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_7, Ar_8)) [ Ar_7 >= 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_7, Ar_8)) [ 0 >= Ar_7 + 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 0, Ar_5, 0, Ar_8)) [ Ar_7 = 0 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 1, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_8 >= 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 1, Ar_4, Ar_5, Ar_7, Ar_8)) [ 0 >= Ar_8 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 0, Ar_4, Ar_5, Ar_7, 0)) [ Ar_8 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3, Ar_5 - 1, Fresh_0, Fresh_1)) [ Ar_5 >= 1 /\ Ar_3 = Ar_4 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3, Ar_5 - 1, Fresh_2, Fresh_3)) [ 0 >= Ar_5 + 1 /\ Ar_3 = Ar_4 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0 + 1, Ar_1 + 1, Ar_1 + 1, Ar_3, Ar_3, Fresh_4, Ar_7, Ar_8)) [ Fresh_4 >= 1 /\ 2 >= Ar_0 /\ 0 >= Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(0, Ar_1 + 1, Ar_1 + 1, Ar_3, Ar_3, Fresh_5, Ar_7, Ar_8)) [ Fresh_5 >= 1 /\ Ar_0 >= 3 /\ 0 >= Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_3, 0, 0, Ar_0)) [ 2 >= Ar_0 /\ Ar_2 >= 1 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_3, 0, 1, Ar_0 - 2)) [ Ar_0 >= 3 /\ Ar_2 >= 1 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(0, 1, 1, 0, 0, Fresh_6, Ar_7, Ar_8)) [ Fresh_6 >= 1 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 2 produces the following problem: 3: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_3 >= Ar_4 + 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_7, Ar_8)) [ Ar_7 >= 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_7, Ar_8)) [ 0 >= Ar_7 + 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 0, Ar_5, 0, Ar_8)) [ Ar_7 = 0 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 1, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_8 >= 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 1, Ar_4, Ar_5, Ar_7, Ar_8)) [ 0 >= Ar_8 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 0, Ar_4, Ar_5, Ar_7, 0)) [ Ar_8 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3, Ar_5 - 1, Fresh_0, Fresh_1)) [ Ar_5 >= 1 /\ Ar_3 = Ar_4 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3, Ar_5 - 1, Fresh_2, Fresh_3)) [ 0 >= Ar_5 + 1 /\ Ar_3 = Ar_4 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0 + 1, Ar_1 + 1, Ar_1 + 1, Ar_3, Ar_3, Fresh_4, Ar_7, Ar_8)) [ Fresh_4 >= 1 /\ 2 >= Ar_0 /\ 0 >= Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(0, Ar_1 + 1, Ar_1 + 1, Ar_3, Ar_3, Fresh_5, Ar_7, Ar_8)) [ Fresh_5 >= 1 /\ Ar_0 >= 3 /\ 0 >= Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_3, 0, 0, Ar_0)) [ 2 >= Ar_0 /\ Ar_2 >= 1 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_3, 0, 1, Ar_0 - 2)) [ Ar_0 >= 3 /\ Ar_2 >= 1 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(0, 1, 1, 0, 0, Fresh_6, Ar_7, Ar_8)) [ Fresh_6 >= 1 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 1 Pol(f0) = 1 Pol(f9) = 1 Pol(f38) = 0 Pol(f32) = 1 Pol(f20) = 1 orients all transitions weakly and the transition f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_4 >= Ar_3 + 1 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_3 >= Ar_4 + 1 ] (Comp: 1, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_7, Ar_8)) [ Ar_7 >= 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_7, Ar_8)) [ 0 >= Ar_7 + 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 0, Ar_5, 0, Ar_8)) [ Ar_7 = 0 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 1, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_8 >= 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 1, Ar_4, Ar_5, Ar_7, Ar_8)) [ 0 >= Ar_8 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 0, Ar_4, Ar_5, Ar_7, 0)) [ Ar_8 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3, Ar_5 - 1, Fresh_0, Fresh_1)) [ Ar_5 >= 1 /\ Ar_3 = Ar_4 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3, Ar_5 - 1, Fresh_2, Fresh_3)) [ 0 >= Ar_5 + 1 /\ Ar_3 = Ar_4 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0 + 1, Ar_1 + 1, Ar_1 + 1, Ar_3, Ar_3, Fresh_4, Ar_7, Ar_8)) [ Fresh_4 >= 1 /\ 2 >= Ar_0 /\ 0 >= Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(0, Ar_1 + 1, Ar_1 + 1, Ar_3, Ar_3, Fresh_5, Ar_7, Ar_8)) [ Fresh_5 >= 1 /\ Ar_0 >= 3 /\ 0 >= Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_3, 0, 0, Ar_0)) [ 2 >= Ar_0 /\ Ar_2 >= 1 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_3, 0, 1, Ar_0 - 2)) [ Ar_0 >= 3 /\ Ar_2 >= 1 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(0, 1, 1, 0, 0, Fresh_6, Ar_7, Ar_8)) [ Fresh_6 >= 1 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 1 Pol(f0) = 1 Pol(f9) = 1 Pol(f38) = 0 Pol(f32) = 1 Pol(f20) = 1 orients all transitions weakly and the transition f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_3 >= Ar_4 + 1 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ 0 <= 0 ] (Comp: 1, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_3 >= Ar_4 + 1 ] (Comp: 1, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_4 >= Ar_3 + 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_7, Ar_8)) [ Ar_7 >= 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_7, Ar_8)) [ 0 >= Ar_7 + 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 0, Ar_5, 0, Ar_8)) [ Ar_7 = 0 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 1, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_8 >= 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 1, Ar_4, Ar_5, Ar_7, Ar_8)) [ 0 >= Ar_8 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 0, Ar_4, Ar_5, Ar_7, 0)) [ Ar_8 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3, Ar_5 - 1, Fresh_0, Fresh_1)) [ Ar_5 >= 1 /\ Ar_3 = Ar_4 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3, Ar_5 - 1, Fresh_2, Fresh_3)) [ 0 >= Ar_5 + 1 /\ Ar_3 = Ar_4 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0 + 1, Ar_1 + 1, Ar_1 + 1, Ar_3, Ar_3, Fresh_4, Ar_7, Ar_8)) [ Fresh_4 >= 1 /\ 2 >= Ar_0 /\ 0 >= Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(0, Ar_1 + 1, Ar_1 + 1, Ar_3, Ar_3, Fresh_5, Ar_7, Ar_8)) [ Fresh_5 >= 1 /\ Ar_0 >= 3 /\ 0 >= Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_3, 0, 0, Ar_0)) [ 2 >= Ar_0 /\ Ar_2 >= 1 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_3, 0, 1, Ar_0 - 2)) [ Ar_0 >= 3 /\ Ar_2 >= 1 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(0, 1, 1, 0, 0, Fresh_6, Ar_7, Ar_8)) [ Fresh_6 >= 1 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 5 to obtain the following invariants: For symbol f20: X_4 - X_5 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 >= 0 /\ -X_4 + X_5 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ X_1 + X_5 >= 0 /\ X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 >= 0 /\ X_2 - X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0 For symbol f32: X_5 >= 0 /\ X_4 + X_5 >= 0 /\ -X_4 + X_5 + 1 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ X_1 + X_5 >= 0 /\ -X_4 + 1 >= 0 /\ X_2 - X_4 >= 0 /\ X_1 - X_4 + 1 >= 0 /\ X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 >= 0 /\ X_2 - X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0 For symbol f9: X_5 >= 0 /\ X_4 + X_5 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ X_1 + X_5 >= 0 /\ X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 >= 0 /\ X_2 - X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0 This yielded the following problem: 6: T: (Comp: 1, Cost: 1) f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(0, 1, 1, 0, 0, Fresh_6, Ar_7, Ar_8)) [ Fresh_6 >= 1 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_3, 0, 1, Ar_0 - 2)) [ Ar_4 >= 0 /\ Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_0 >= 3 /\ Ar_2 >= 1 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_3, 0, 0, Ar_0)) [ Ar_4 >= 0 /\ Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 2 >= Ar_0 /\ Ar_2 >= 1 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(0, Ar_1 + 1, Ar_1 + 1, Ar_3, Ar_3, Fresh_5, Ar_7, Ar_8)) [ Ar_4 >= 0 /\ Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Fresh_5 >= 1 /\ Ar_0 >= 3 /\ 0 >= Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0 + 1, Ar_1 + 1, Ar_1 + 1, Ar_3, Ar_3, Fresh_4, Ar_7, Ar_8)) [ Ar_4 >= 0 /\ Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Fresh_4 >= 1 /\ 2 >= Ar_0 /\ 0 >= Ar_2 /\ Ar_3 = Ar_4 /\ Ar_5 = 0 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3, Ar_5 - 1, Fresh_2, Fresh_3)) [ Ar_4 >= 0 /\ Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_5 + 1 /\ Ar_3 = Ar_4 ] (Comp: ?, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3, Ar_5 - 1, Fresh_0, Fresh_1)) [ Ar_4 >= 0 /\ Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_5 >= 1 /\ Ar_3 = Ar_4 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 0, Ar_4, Ar_5, Ar_7, 0)) [ Ar_3 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_8 = 0 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 1, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_3 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_8 + 1 ] (Comp: ?, Cost: 1) f20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f32(Ar_0, Ar_1, Ar_2, 1, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_3 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_8 >= 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 0, Ar_5, 0, Ar_8)) [ Ar_4 >= 0 /\ Ar_3 + Ar_4 >= 0 /\ -Ar_3 + Ar_4 + 1 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_3 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_0 - Ar_3 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_7 = 0 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_7, Ar_8)) [ Ar_4 >= 0 /\ Ar_3 + Ar_4 >= 0 /\ -Ar_3 + Ar_4 + 1 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_3 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_0 - Ar_3 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_7 + 1 ] (Comp: ?, Cost: 1) f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f9(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_7, Ar_8)) [ Ar_4 >= 0 /\ Ar_3 + Ar_4 >= 0 /\ -Ar_3 + Ar_4 + 1 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ -Ar_3 + 1 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_0 - Ar_3 + 1 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_7 >= 1 ] (Comp: 1, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_4 >= 0 /\ Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_3 + 1 ] (Comp: 1, Cost: 1) f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f38(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ Ar_4 >= 0 /\ Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_3 >= Ar_4 + 1 ] (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_7, Ar_8)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound ? Time: 8.755 sec (SMT: 8.183 sec)